Write an equation in standard form of a line that travels through
the points (5,2) and (-3, -14).

Answer:

$28

Step-by-step explanation:

given that

The Principal amount is $800

The rate of interest is 3.5%

And, the time period is one year

we need to find out the simple interest

As we know that

Simple interest = Principal × rate × time period

= $800 × 3.5% × 1 year

= $28

hence, the simple interest is $28

Answer:

A=34.77 cm^2

Step-by-step explanation:

Answer:

The pvalue of the test is 0.7188 > 0.05, which means that there is not enough statistical evidence based on the sample to dispute the results of the study published in Psychiatry Research.

Step-by-step explanation:

Test if there is enough statistical evidence based on the sample to dispute the results of the study published in Psychiatry Research:

This means that at the null hypothesis we test if the proportion is 62%, that is:

[tex]H_0: p = 0.62[/tex]

At the alternate hypothesis, we test if the proportion is different from 0.62, that is:

[tex]H_a: p \neq 0.62[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample

62% is tested at the null hypothesis:

This means that [tex]\mu = 0.62, \sigma = \sqrt{0.62*0.38}[/tex]

When a random sample of 26 autistic children were observed, 17 were found to be left-handed.

This means that [tex]n = 26, X = \frac{17}{26} = 0.6538[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.6538 - 0.62}{\frac{\sqrt{0.62*0.38}}{\sqrt{26}}}[/tex]

[tex]z = 0.36[/tex]

Pvalue of test and decision:

The pvalue of the test is the probability of a proportion that differs from the mean by at least 0.6538 - 0.62 = 0.0338, which is P(|z| > 0.36), which is two multiplied by the pvalue of z = -0.36

Looking at the z-table, z = -0.36 has a pvalue of 0.3594

2*0.3594 = 0.7188

The pvalue of the test is 0.7188 > 0.05, which means that there is not enough statistical evidence based on the sample to dispute the results of the study published in Psychiatry Research.

Answer:

center= (0, -9)

r=1

Step-by-step explanation:

formula for circle= (x-h)^2+(y-k)^2= r^2

(h, k)= center

r= radius

We know that h is 0 since (x-h)^2 is x^2.

We know k= -9 from (y+9)^2

since r^2=1

r=1

Max needs to buy two rolls of string, hopefully this helped :)

Answer:n

Step-by-step explanationaa:

Answer:

7 and 33

Step-by-step explanation:

Two equations:

x = 5 + 4y

x + y = 40

Substitute x for 5 + 4y:

5 + 5y = 40

5y = 35

y = 7

Substitute y for 7:

x = 5 + 4(7)

x = 33

Answer:

Step-by-step explanation:

1 per day  Taylor , but the question doesn't say how many days...  :/

Answer:

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

There's no specific formula to find the square root of a number, however we can find the square root of a number by the following methods:

i) By Prime Factorisation

ii) By Long Division

iii) By Repeated subtraction method

Step I: Obtain the given number.

Step II: Reduce the given number into prime factors by successive division.

Step III: Now make pairs of prime factors in such a way that both the factors in each pair are equal.

Step IV: Take one factor from each pair and find the product of these factors.

Step V: The product obtained by multiplying the factors is the required square root.

Step 1: Firstly, we place a bar on every pair of digits starting from the unit digit. If the number of digits in it is odd, we put a bar on the single-digit too.

Step 2: Now we find the largest number whose square is less than or equal to the 1st number.

Step 3: Now we bring down the next bar number.

Step 4: For new divisor, we add the divisor & quotient.

Step 5: Number taken is the product of a new divisor and this digit is equal to or less than the new dividend.

In this method, the given number is subtracted by 1, 3, 5, 7,… at every step till you get zero at the end. The number of steps in the solution is the required square root.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

Step-by-step explanation:

So to travel 39 miles, you must use 2.6 Liters of fuel.

Answer:

Oh it's common in all countries.

Answer:

Can we get an image of the graph

Step-by-step explanation:

Answer:

g = 12

Step-by-step explanation:

First, simplify by subtracting 4 from 7:

g + 7 - 4 = 15

g + 3 = 15

Solve for g by subtracting 3 from both sides:

g = 12

So, the answer is g = 12

Simplify by subtracting 4 from 7:

g + 7 - 4 = 15

g + 3 = 15

Solve for g by subtracting 3 from both sides:

g = 12

 answer is g = 12

Answer:

x is about 0.26

Step-by-step explanation:

[tex]e^{4-7x}+11=20[/tex]

[tex]e^{4-7x}=9[/tex]

[tex]ln(e^{4-7x})=ln(9)[/tex]

[tex]4-7x=ln(9)[/tex]

[tex]-7x=ln(9)-4[/tex]

[tex]x=\frac{ln(9)}{-7} +\frac{4}{7}[/tex]

[tex]x=\frac{4-ln(9)}{7}[/tex]

[tex]x=0.2575393461[/tex]

Answer:

A) It is right

Step-by-step explanation:

∠A=∠C, because a 180° line (straight line) meats at a certain point reaching the edge, which then means that the angles of 'A' and 'C' have to be the same.

So ∠A= 45°, and ∠C= 45°.

45+45= 90

A triangle's angles add to 180°.

180-90=90

∴∠B=90°, making it a right-angled triangle.

Answer:

B

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.

1,  3,  6,  8,  9,  9

           ↑ middle

median = [tex]\frac{6+8}{2}[/tex] = [tex]\frac{14}{2}[/tex] = 7 → B

Answer:

B. 7

Step-by-step explanation:

(6 + 8) ÷ 2 = 7

I hope this is right if its not im sorry

Answer:

12

Step-by-step explanation:

Brandon's car can go in one gallon gas= 18 miles

In the United States, the gallon is a unit of measurement for liquids such as gasoline, water, and milk. If your car's tank is nearly empty, you should stop and purchase at least a few additional gallons of gas. A gallon of liquid is equal to 4 quarts or 3.785 liters.

Brandon's car used 3/4 of a gallon to travel 13 1/2 miles.

3/4 of a gallon(G)= 13 1/2 miles

3/4*G=27/2

G=18 miles

Hence, Brandon's car can go in one gallon gas= 18 miles.

To know more about it

https://brainly.com/question/23165699

#SPJ2

Answer:

12 gallons 2 quarts

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

::::::::::::::::

The probability of the number on the upward face is not 4 would be 11/12 or 0.92 by calculating as follows:

Solution:

The possible outcomes for rolling a dodecahedral die, numbered from 1 to 12, once is given below in the term of sample space S:

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Therefore,

n(S) = 12

Event A: Sample space in the case of not having number 4 on the upward face:

A = {1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12}

therefore,

n(A) = 11

the required probability = [tex]\dfrac{\text{Number of times event A, occurred}}{\text{Number of times this experiment performed}}[/tex]

then putting the space values here;

 = [tex]\frac{n(A)}{n(S)}=\frac{11}{12}=0.92[/tex]

Thus, the required probability is 0.92

Learn more about the probability of an event:

https://brainly.com/question/24028840

Step-by-step explanation:

Choose the correct inequality that matches the information on the sign. the answers are

s<60

Answer:

232 sq. m

Step-by-step explanation:

Answer:

I'm sorry I can't help because I don't know what part is shaded.  Note: Since a square has the same length for each side all the sides are 16 cm.

Area and Perimeter for WHOLE square:

A: 256 sq cm

P: 64 cm

Answer:

19.6 cm²

Step-by-step explanation:

The formula of the area of a circle

= πr²

The radius of the circle

= 5÷2

= 2.5 cm

The area of the circle

= π×2.5²

= 19.63495...

= 19.6 cm² (rounded to the nearest tenth)

Answer:

[tex]90[/tex]

Step-by-step explanation:

Expand (3-9i)(3+9i) using the FOIL Method.

[tex]3 \times 3 + 3(9i) - 9i \times 3 - 9i(9i)[/tex]

Simplify and combine like terms.

[tex]90[/tex]

therefor, the answer is 90.

Answer:

2 ) 6t=48+12

t=60/6

t=10

I can't plot it for you, but the slope will be the y/x or the rise/run.

You can find the slope by using 2 points of the line and subtracting the (y1-y2)/(x2-x1)

Answer:

10

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It doesn't show the exact ages. The answer would be "10-19", but there is no choice for that. Therefore, the answer cannot be determined because we don't have the exact age.

:D