hey besties i need sum help with this pls

Hey Besties I Need Sum Help With This Pls

Answers

Answer 1
The correct answer is A

Related Questions

Find the probability P(not E) if P(E)=0.39.
The probability P(not E) is _______ (Simplify your answer.)

Answers

The probability that the event E does not happen is:

P(not E) = 0.61

How to find the probability?

First, remember that for any experiment with N outcomes, the sum of the N probabilities for these outcomes must be 1.

Then if we have two outcomes, E happens or E does not happen, we have:

P(E) + P(not E) = 1

Replace the value that we know:

0.39 + p(not E) = 1

Solve for the probability we want:

P(not E) = 1 - 0.39

P(not E) = 0.61

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Let AA and BB be two mutually exclusive events, such that P(A)=0.2272P(A)=0.2272 and P(B)=0.4506P(B)=0.4506. Find the following probability:

Answers

The probability that the events do not occur is 0.6778`.

The probability that the events do not occur is given by `P(Ac)=1-P(A)` and `P(Bc)=1-P(B)`.

The given probabilities are `P(A)=0.2272` and `P(B)=0.4506`.

Using the formula `P(A∪B)=P(A)+P(B)-P(A∩B)`, we have `P(A∩B) = P(A) + P(B) - P(A∪B)`

Using the fact that the two events are mutually exclusive, we get `P(A∩B) = 0`.

Thus, `P(A∪B) = P(A) + P(B) = 0.2272 + 0.4506 = 0.6778`.

The probability that either A or B but not both occurs is given by `P(AΔB) = P(A∪B) - P(A∩B) = 0.6778 - 0 = 0.6778`.

Hence, the required probability is `P(AΔB) = 0.6778`.

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Find the margin of error E for a 97% confidence
interval for (p1 − p2),
given that n1 = 108, n2 = 723, x1
= 62, and x2 = 235
Round your answer to three decimal places.

Answers

The margin of error for a 97% confidence interval for (p1 - p2) is 0.159.

To find the margin of error (E) for a 97% confidence interval for (p1 - p2), we can use the following formula:

E = Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

Where:

Z is the z-score corresponding to the desired confidence level. For a 97% confidence level, the z-score is approximately 2.170.

p1 and p2 are the sample proportions for populations 1 and 2, respectively.

n1 and n2 are the sample sizes for populations 1 and 2, respectively.

To calculate p1 and p2, we divide the sample counts (x1 and x2) by their respective sample sizes (n1 and n2).

p1 = x1 / n1 = 62 / 108 ≈ 0.574

p2 = x2 / n2 = 235 / 723 ≈ 0.325

Substituting the values into the formula, we have:

E = 2.170 * sqrt((0.574 * (1 - 0.574) / 108) + (0.325 * (1 - 0.325) / 723))

Calculating this expression, we find:

E ≈ 2.170 * sqrt(0.004957 + 0.000443)

≈ 2.170 * sqrt(0.005400)

≈ 2.170 * 0.073486

≈ 0.159

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The mathematical sentence that describes the inequality 5n - 10 > 26 is: Ten subtracted from 5 times n is greater than 26. I hope this mathematical sentence is what you are looking for,

Write the inequality in words.

5n – 10 > 26


A. Ten less than a number is less than or equal to twenty-six.


B. Ten less than five times a number is greater than twenty-six.


C. Five times n less than ten is twenty-six.


D. Ten plus five times n is less than or equal to twenty-six.

Answer:

Write the inequality in words.

5n – 10 > 26

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:
n > 36/5

Interval Notation:
(36/5, ∞)

THANKS
0

Answers

Answer:

B. Ten less than five times a number is greater than twenty-six.

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n > 36 /5

Interval Notation:

( 36 /5 , ∞ )

15% of what number is 30?
please give the steps! i will give brainliest if you give the steps

Answers

Answer:

200

Step-by-step explanation:

15% is 0.15

0.15x = 30

x = 30/0.15 = 200

Determine L ¹{F}. — - 14s - 25 F(s) = (s + 3)² (s+5)

Answers

The inverse Laplace transform of F(s) = (s + 3)² (s + 5) is given by L⁻¹{F} = 1/2 * e^(-3t) - t * e^(-3t) + 1/2 * e^(-5t).

To determine the inverse Laplace transform of F(s) = (s + 3)² (s + 5), we can use the properties and formulas of Laplace transforms.

The inverse Laplace transform of F(s) can be obtained by applying partial fraction decomposition, followed by looking up the corresponding inverse Laplace transform in a table of Laplace transforms.

Let's first factorize F(s):

F(s) = (s + 3)² (s + 5)

Next, we perform partial fraction decomposition. We express F(s) as the sum of simpler fractions:

F(s) = A/(s + 3) + B/(s + 3)² + C/(s + 5)

To find the values of A, B, and C, we can equate the numerator of F(s) with the sum of the numerators in the partial fraction decomposition:

(s + 3)² (s + 5) = A(s + 3)(s + 5) + B(s + 5) + C(s + 3)²

Expanding the equations and collecting like terms, we get:

s² + 8s + 15 = (A + C)s² + (8A + 3C + B)s + (15A + 5B)

Equating the coefficients of the terms on both sides, we have the following system of equations:

A + C = 1

8A + 3C + B = 8

15A + 5B = 15

Solving this system of equations, we find A = 1/2, B = -1/2, and C = 1/2.

Now, we can rewrite F(s) in terms of the partial fractions:

F(s) = 1/2/(s + 3) + (-1/2)/(s + 3)² + 1/2/(s + 5)

Looking up the inverse Laplace transform of each term in the table, we find:

L⁻¹{1/2/(s + 3)} = 1/2 * e^(-3t)

L⁻¹{(-1/2)/(s + 3)²} = -t * e^(-3t)

L⁻¹{1/2/(s + 5)} = 1/2 * e^(-5t)

Therefore, the inverse Laplace transform of F(s) is:

L⁻¹{F} = 1/2 * e^(-3t) - t * e^(-3t) + 1/2 * e^(-5t)

This is the desired result for the inverse Laplace transform of F(s).

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Thank you in advance.

Answers

I think it’s C, my friend took the test, and he said C. Tell me if incorrect

Solve the equation for a.

3a+13.61=−9.43

Answers

Answer: a = -7.68

STEPS:

- Subtract 13.61 from both sides

- Simplify

- Divide both sides by 3

This would mean so much! Find the area of each figure. Write the
equations and solve showing ALL the work.(143) is the answer I need help with the work

Answers

Answer:

143 ft2

Step-by-step explanation:

Formula for parrallelogram: A= BxH

13x11= 143

Cost to store: $140

Markup: 25%

The selling price is $
what is the selling price ?

Answers

Answer:

175

Step-by-step explanation:

140

140/4=35

140+35=175

4) A store donated 4 72 dozen cookies for a
fundraiser. Another store donated 3 14 dozen
cookies. How many dozen cookies did they
donate altogether?

Answers

Both the stores together donated 65.5 dozen cookies.

Please help I do not know the answer

Answers

Answer:

answer is y = 3/4x - 5

Step-by-step explanation:

picture below.

The 3/4 comes from the line. You would use rise over run to find the slope, which in this case is 3/4. and the -5 is basically the y-intercept

Suppose you are planning a qualitative study to examine the problem of attrition from an online doctoral program. Describe the role of the literature review in this qualitative study.


Suppose you are planning a quantitative study of the factors that predict attrition from a doctoral program. When should you complete a literature review for this quantitative study? Before or after determining your research hypothesis or research questions?

Answers

The required answer is The literature review should be completed before developing a research hypothesis or research questions for a quantitative study.

Explanation :

The role of literature review in the qualitative study.To examine the problem of attrition from an online doctoral program in a qualitative study, a literature review is essential to identifying the theoretical frameworks and practices for reducing attrition. Researchers need to review the current theories on student retention, persistence, and attrition to examine the factors contributing to these trends.

By reviewing related literature, researchers gain insight into how student attrition is approached in existing literature. Additionally, literature review helps in developing the research problem and objectives, identifying gaps in the current literature that the study can fill. This provides a solid foundation for conducting qualitative research and enables the researcher to identify the gaps and the direction the study should take.

When should you complete a literature review for a quantitative study?For a quantitative study of the factors that predict attrition from a doctoral program, a literature review should be completed before determining your research hypothesis or research questions.

A literature review is essential as it helps researchers to identify the current literature, theories, and research studies conducted in the area of attrition in doctoral programs.

By conducting a literature review, the researcher can identify gaps, inconsistencies, and areas that require more attention. This allows researchers to develop an appropriate research design, research questions, and hypotheses that address the identified gaps in the literature.

Thus, the literature review should be completed before developing a research hypothesis or research questions for a quantitative study.

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Joanne has a health insurance plan with a $1000 calendar-year deductible, 80% coinsurance, and a $5,000 out-of-pocket cap. Joanne incurs $1,000 in covered medical expenses in March, $3,000 in covered expenses in July, and $30,000 in covered expenses in December. How much does Joanne's plan pay for her July losses? (Do not use comma, decimal, or $ sign in answer)

Answers

Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

Joanne's health insurance plan with a $1000 deductible, 80% coinsurance, and a $5000 out-of-pocket cap requires her to pay for her medical expenses until she reaches the deductible.

After reaching the deductible, she is responsible for 20% of the covered expenses, up to the out-of-pocket cap. The plan pays the remaining percentage of covered expenses.

To calculate how much the plan pays for Joanne's July losses, we need to consider her deductible, coinsurance, and out-of-pocket cap.

In March, Joanne incurs $1000 in covered medical expenses.

Since this amount is equal to her deductible, she is responsible for paying the full amount out of pocket.

In July, Joanne incurs $3000 in covered expenses. Since she has already met her deductible, the coinsurance comes into play.

According to the plan's coinsurance rate of 80%,

Joanne is responsible for 20% of the covered expenses.

Therefore, Joanne is responsible for paying 20% of $3000, which is $600.

The plan will pay the remaining 80% of the covered expenses, which is $2400.

In December, Joanne incurs $30,000 in covered expenses. Since she has already met her deductible and reached her out-of-pocket cap, the plan pays 100% of the covered expenses.

Therefore, the plan will pay the full $30,000 for her December losses.

To summarize, Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

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Help me with this and you’ll be marked as Brainliest

Answers

Answer:

A.) The base is 5 and the exponent is 3

B.) The base is 4 the exponent is 7

C.) The base is 3 the exponent is 4

D.) The base is 6 the exponent is 8

Step-by-step explanation:

a teacher that likes two different numbers p and q and states that p plus q equals 0 which statement could be true about these two numbers
(A)both numbers are positive
(B)both numbers are negative
(C)one number is zero in the other is positive
(D)one number is positive and the other is negative

Answers

D, one number is positive and the other is negative. The only way it could equal 0 is to cross the other out. An example is, -5+5=0

Given the definitions of f(x) and g(x) below, find the value of f(g(-1)).
f(x) = x^2+ x + 10
g(x) -5x-3

Answers

Answer:

16

Step-by-step explanation:

Given the definitions of f(x) and g(x) below,

f(x) = x^2+ x + 10

g(x) = -5x-3

f(g(x)) = f(-5x-3)

f(-5x-3) = (-5x-3)²+((-5x-3)+10

f(-5x-3) = 25x²+30x+9-5x-3+10

f(-5x-3) = 25x² +25x+16

f(g(x)) = 25x² +25x+16

f(g(-1)) = 25(-1)² +25(-1)+16

f(g(-1)) = 25-25 + 16

f(g(-1)) = 16

Hence f(g(-1)) is 16

PLEASE HELP ME PUT THEM IN ORDER

Answers

Answer

picture below of order. Not entirely

Step-by-step explanation:

HELP!! :'(
An exponential function does not have a constant rate of change, but it has ____.

A. a slope
B. a parabolic shape
C. None of these
D. constant ratios

Answers

D a constant ratios I think so I’m sorry if I’m wrong

suppose the superhero had flown 150 m at an 120 degree angle with respect to the positive x axis find the component of displacemnet vector

Answers

The component of the displacement vector are: Horizontal component = -75 m Vertical component = 129.9 m (approx)

Given that the superhero flew 150 m at an angle of 120° with respect to the positive x-axis. We need to find the components of displacement vector.

Let's consider the given figure: Here, AB represents the displacement vector. AC represents the horizontal component of displacement vector and BC represents the vertical component of displacement vector.

The horizontal component can be calculated as: AC = AB cos θ

Here, θ = 120° and AB = 150 mAC = 150 cos 120°AC = -75 m (Negative sign indicates that the displacement is in the negative direction of the x-axis)

The vertical component can be calculated as: BC = AB sin θHere, θ = 120° and AB = 150 mBC = 150 sin 120°BC = 129.9 m (Approx)

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Given information: A superhero flew 150 m at a 120-degree angle with respect to the positive x-axis. The x-component of the displacement vector is 75 m and the y-component of the displacement vector is 129.9 m.

Components of displacement vector: The component of displacement vector with respect to the x-axis is called the x-component of displacement vector.

Similarly, the component of displacement vector with respect to the y-axis is called the y-component of displacement vector.

As per the given information, the angle of displacement vector is 120 degrees with respect to the positive x-axis.

So, the angle of the vector with respect to the negative x-axis is 180 - 120 = 60 degrees (supplementary angles).

Now, the horizontal component (x-component) of the vector is given by the product of the magnitude and the cosine of the angle with respect to the x-axis.

Let the x-component of displacement vector be x.

Then, x = 150 cos 60°

x = 75 m.

The vertical component (y-component) of the vector is given by the product of the magnitude and the sine of the angle with respect to the x-axis.

Let the y-component of displacement vector be y.

Then, y = 150 sin 60°

y = 129.9 m.

Therefore, the x-component of the displacement vector is 75 m and the y-component of the displacement vector is 129.9 m.

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A variable X has a probability density function:
F(x) = k x² for -1

Calculate:
(a) The value of the constant K;
(b) The mean and variance of X;
(c) The cumulative distribution function of

Answers

To find the value of the constant k, we need to integrate the probability density function (PDF) over its entire range and set it equal to 1, since the total area under the PDF should be 1.

(a) Calculating the value of the constant K:

∫[from -1 to 1] kx² dx = 1

Integrating, we get:

(k/3) [x³] from -1 to 1 = 1

(k/3)(1³ - (-1)³) = 1

(k/3)(1 + 1) = 1

(2k/3) = 1

2k = 3

k = 3/2

Therefore, the value of the constant k is 3/2.

(b) Calculating the mean and variance of X:

To find the mean (μ), we need to calculate the expected value of X. Since the PDF is symmetric around x = 0, the mean will be 0.

μ = 0

To find the variance (σ²), we need to calculate the second moment of X around its mean.

σ² = ∫[from -1 to 1] x² * f(x) dx

Substituting the PDF f(x) = (3/2)x²:

σ² = ∫[from -1 to 1] x² * (3/2)x² dx

σ² = (3/2) ∫[from -1 to 1] x^4 dx

σ² = (3/2) * (1/5) [x^5] from -1 to 1

σ² = (3/2) * (1/5) * (1^5 - (-1)^5)

σ² = (3/2) * (1/5) * (1 - (-1))

σ² = (3/2) * (1/5) * 2

σ² = 3/5

Therefore, the mean of X is 0, and the variance is 3/5.

(c) The cumulative distribution function (CDF) of X is found by integrating the PDF from negative infinity to x:

F(x) = ∫[from -∞ to x] f(t) dt

For the given PDF f(x) = (3/2)x², the cumulative distribution function can be calculated as follows:

F(x) = ∫[from -∞ to x] (3/2)t² dt

F(x) = (3/2) ∫[from -∞ to x] t² dt

F(x) = (3/2) * (1/3) [t³] from -∞ to x

F(x) = (1/2) x³

Therefore, the cumulative distribution function (CDF) of X is F(x) = (1/2) x³.

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Find the slope of the line

Answers

Answer:

m = 3/4

Step-by-step explanation:

slope of a line equation:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = (3-0)/(2-(-2))

m = 3/4

7th grade math help me pleaseeee

Answers

Answer:

a)b=4

b)x=-9

c)r=6

Step-by-step explanation:

Question 2.

a)5b+6=26

5b=26-6

5b=20

b=4

b)6-x=15

-x=15-6

-x=9

x=-9

c)r/2+2=5

r/2=5-2

r/2=3

Multiply both sides by 2 to remain with r

r/2×2=3×2

r=6.

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=29°, and SQ = 5 feet. Find the length of QR to the nearest tenth of a foot.

Answers

Answer:

2.8 feet

Step-by-step explanation:

tan(29)=x/5

5tan(29)=x

2.8=x

Answer:

5.7

Step-by-step explanation:

Jasper spent $9.74 at the bookstore. He gave the clerk $10.00. Which shows the correct change jasper should get back? 24 cent, 26 cent, 34 cent, or 36 cent? I will make you brainlest

Answers

Answer:

26 cents

Step-by-step explanation:

S0, lets just subtract the 10 by the 9.74 to get our answer:

10-9.74

=

0.26

So, lets remember that there are 100 cents in 1 dollar.

So 1 cent would be: 0.01

Our answer we got above is 0.26

So that must be 26 cents.

Answer:

26

Hope this helps! ;)

Find Sn for the following arithmetic sequences described.

a1 = 132, d = -4, an = 52

Answers

Answer:

We can use the formula for the nth term of an arithmetic sequence to find n:

an = a1 + (n - 1)d

Substituting the given values, we get:

52 = 132 + (n - 1)(-4)

Simplifying and solving for n, we get:

n = 21

So, the sequence has 21 terms.

We can use the formula for the sum of the first n terms of an arithmetic sequence to find Sn:

Sn = n/2(2a1 + (n - 1)d)

Substituting the given values, we get:

Sn = 21/2(2(132) + (21 - 1)(-4))

Simplifying, we get:

Sn = 21/2(264 - 80)

Sn = 21/2(184)

Sn = 1932

Therefore, the sum of the first 21 terms of the arithmetic sequence is 1932.

The ratio of mass to volume for a type of metal is 27 g to 10 cm³ a sample of the metal has a mass of 81 g what is the volume in cubic centimeters of the sample of metal

Answers

Answer:

volume in cubic centimeters = 30 cm³

Step-by-step explanation:

Ratio of mass to volume = 27 g : 10 cm³

what is the volume in cubic centimeters of the sample of metal if mass = 81 g

Let

volume in cubic centimeters = v

Ratio of mass to volume = 81 g : v

Equate both ratios

27 g : 10 cm³ = 81 g : v

27/10 = 81/v

Cross product

27 * v = 10 * 81

27v = 810

v = 810/27

v = 30 cm³

volume in cubic centimeters = 30 cm³

Assuming that P ? 0, a population is modeled by the differential equation
dP/dt = 1.1P(1-P/4100)
1. For what values of P is the population increasing? Answer (in interval notation):
2. For what values of P is the population decreasing? Answer (in interval notation):
3. What are the equilibrium solutions? Answer (separate by commas): P =

Answers

1. The population is increasing for 0 < P < 4100. The answer in interval notation is (0, 4100).

2. The population is decreasing for P > 4100. The answer in interval notation is (4100, ∞).

3. The equilibrium solutions are P = 0 and P = 4100.

To determine when the population is increasing or decreasing, we need to examine the sign of the derivative dP/dt.

1. For what values of P is the population increasing?

The population is increasing when dP/dt > 0.

In this case, we have dP/dt = 1.1P(1 - P/4100).

To find the values of P for which the population is increasing, we need to solve the inequality 1.1P(1 - P/4100) > 0.

To do this, we can consider the sign of each factor:

1.1 is positive.

P is the variable.

(1 - P/4100) is positive when P < 4100 and negative when P > 4100.

From this, we can determine the intervals where the population is increasing:

When P < 0 (since P cannot be negative in a population context), the term 1.1P is negative, so the entire expression is negative. The population is not increasing in this interval.

When 0 < P < 4100, both 1.1P and (1 - P/4100) are positive, so the entire expression is positive. The population is increasing in this interval.

When P > 4100, 1.1P is positive, but (1 - P/4100) is negative. The entire expression is negative. The population is not increasing in this interval.

Therefore, the population is increasing for 0 < P < 4100. The answer in interval notation is (0, 4100).

2. For what values of P is the population decreasing?

The population is decreasing when dP/dt < 0.

In this case, we have dP/dt = 1.1P(1 - P/4100).

To find the values of P for which the population is decreasing, we need to solve the inequality 1.1P(1 - P/4100) < 0.

Using the same analysis as in the previous part, we can determine the intervals where the population is decreasing:

When P < 0, the population is not decreasing.

When 0 < P < 4100, the population is not decreasing.

When P > 4100, the population is decreasing.

Therefore, the population is decreasing for P > 4100. The answer in interval notation is (4100, ∞).

3. What are the equilibrium solutions?

Equilibrium solutions occur when the population remains constant, meaning dP/dt = 0.

In this case, we have dP/dt = 1.1P(1 - P/4100)

                                             = 0.

To find the equilibrium solutions, we solve the equation 1.1P(1 - P/4100) = 0.

This equation is satisfied when either 1.1P = 0 or (1 - P/4100) = 0.

From 1.1P = 0, we have P = 0.

From (1 - P/4100) = 0, we have P = 4100.

Therefore, the equilibrium solutions are P = 0 and P = 4100.

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if square root of x = -7 does x= -49

Answers

Answer:

x does not equal - 49.

x = 49

Step-by-step explanation:

To find the square you multiply the square root.

- 7 × - 7 = 49

x ≠ - 49

x = 49

I am confused about this equation; 5x+2y=6, 7x+8y=-2 Does anyone think they can help me out?

Answers

Answer:

I cannot solve it step-by-step because like I'm helping other people cuz I'm busy with my homework so just I'm going to direct you the question you're supposed to solve simultaneous equation by any method example elimination method substitution method then you get the answer if you get stuck you can inform me

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Give 4 reasons why a company should adopt an e-commerce particylarly during the COVID 19 pandemic the process of cutting a market into pieces and focusing on the piece or pieces that make the most sense is termed: Why is making eye contact with the audience important when delivering a presentation? Select three choices. It creates a bond with the audience. It draws attention to the audience and takes the pressure off you. It makes the audience feel that you are sincere, believable, and friendly. If you are looking at the audience, they have trouble ignoring you. It a way to intimidate the audience and make them feel uncomfortable.note there are 3 choices that need to be selected not just one. Each of the United States' foreign policy tools has advantages and disadvantages, and all four tools are often used at the same time. In a paragraph, explain which foreign policy tool you think is most effective. Which do you think is least effective? Be sure to explain your reasoning in your response.please help Using the photo above, describe what type of symmetry it has.a. if it has reflection symmetry, draw all lines of symmetry.b. if it has rotational symmetry, what is all the angle of rotational symmetry (the smallest)c. if has translational symmetry, what is shape is getting repeated Help me PLZZ its worth 20 points The null hypothesis is that the laptop produced by HP can run on an average 120 minutes without recharge and the standard deviation is 25 minutes. In a sample of 60 laptops, the sample mean is 122 minutes. Test this hypothesis with the alternative hypothesis that average time is not equal to 120 minutes. What is the p-value? what is the frequency of light that has a wavelength 788 nm in refractive index of light is 1.33 Yorktown company exports crude oil from United States to Canada by cargo plane, truck and ship. The company has $600000 available to spend on the necessary expansion of its feet. Here is the information on three forms of transportation. Model Capacity (gallons) Purcase Cost Monthly Operating Cost, Including Depreciation Truck 5000 $67000 $550 Ship 2500 $55000 $425 Cargo Plane 1000 $46000 $350 The company estimates that the monthly demand for the region will be 550000 gallons of crude oil. The number of deliveries or round trips possible per month for each method of transportation will vary. Trip capacities are estimated to be 15 trips per month by truck. 20 trips per month by ship, and 25 trips per month by cargo plane. The company does not want to add more than 15 new vehicles to its fleet. In addition, the company has decided to purchase at least three new cargo planes. As a final constraint, the company does not want more than half the new models to be trucks. 1. If the company wishes to satisfy the crude oil demand with a minimum monthly operating expense, how many models of each type of transportation should be purchased? 2. If the company did not require at least three cargo planes and did not limit the number of trucks to at most half the new models, how many models of each types of transportation should be purchase brad and mariah are partners in doctors for children, a medical clinic. brads dissociation from the firm results in What are Zora's characteristics? (From Justice in Eatonville)What are Joe Clark's characteristics? (Also from Justice in Eatonville) Two hundred sixty students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys? The product of two numbers is 342. If one number is 18, what is the other nnumber without the use of a calculator show all your steps The area of a poster board is (x2 + 9x 10) square inches. Find the dimensions of theposter board if x = 16.The dimensions of the poster board areinches byinches. Brady's Inflation Needle Co. reports accounts receivable of $100,000 in 2020 and $250,000 in 2021. Using horizontal analysis, what would be the percentage increase or decrease in accounts receivable?A) 60% decreaseB) 60% increaseC) 150% decreaseD) 150% increase A balloon is filledwith 35.0 L ofhelium when thetemperature is200K. If the tem-perature rises to450K, what is thenew volume of theballoon? What two numbers multiply to -5 and add to 4? Before using a water hose on a burning chemical cabinet, a firefighter would visually check that what is posted on the outside of the cabinet? what is the difference between a cell and a cell membrane P.S. ENJOY THE FREE POINTS /100 POINTS In December, Sara's Sodas produced 3.5 million liters of the beverage. Manufacturing overhead was $1,395.000 and the cost per liter was $0.50. Labor costs were 25 percent of materials cost.Required:a, Calculate the materials cost for December (Enter your answer in dollars not in millions.) b. Calculate the labor cost for December. (Enter your answer in dollars not in millions.)