Summarize the data by filling in the frequency (to the nearest whole number), the relative frequency (3 decimals), and the percent frequency (1 decimal) values below. Class Frequency Relative Frequency Percent Frequency 12-14 ( ) ( ) ( ) 15-7 ( ) ( ) ( ) 18-20 ( ) ( ) ( ) 21-23 ( ) ( ) ( ) 24-26 ( ) ( ) ( ) Total ( ) ( ) ( )

Complete question is;

Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 45 °F. Use t to represent the temperature (in °F) of the refrigerator.

Answer:

t ≤ 45 °F

Step-by-step explanation:

We are told to use t to represent the temperature (in °F) of the refrigerator.

We are also told that the temperature inside the lab refrigerator is no more than 45 °F.

For the temperature inside the refrigerator to be no more than 45 °F, it means the temperature should be either less than or equal to 45 °F

Thus means that t is less than or equal to 45 °F.

Thus, it can be represented in terms of inequality as;

t ≤ 45 °F

Answer:

t ≤ 35

Step-by-step explanation:

I took the test, it was right! :)

Steps to solve:

3(5x - 8) = 6x + 39

~Distribute left side

15x - 24 = 6x + 39

~Add 24 to both sides

15x = 6x + 63

~Subtract 6x to both sides

9x = 63

~Divide 9 to both sides

x = 7

Best of Luck!

Answer:

The Factor is 1.5

Step-by-step explanation:

5.1(which is B'C') divided by 3.4(which is BC) = 1.5

3.6(A'C') divided by divided by 2.4(AC) = 1.5

2.7(A'B') divided by 1.8(AB) = 1.5

Henceforth the factor is 1.5  

Answer:

17

Step-by-step explanation:

c=15×15+8×8

c=225+64

c=289=17

Answer:

The length of the guy wire is 17ft.

Step-by-step explanation:

[tex]c = \sqrt{a^{2}+b^{2} }[/tex]

a = 15ft

b = 8ft

c = [tex]\sqrt{15^{2} + 8^{2} }[/tex]

c = [tex]\sqrt{225 + 64}[/tex]

c = [tex]\sqrt{289}[/tex]

c = 17

The length of the guy wire is 17ft.

Answer:

[tex]f(3)=30[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=4x^2-6[/tex]

To find f(3), substitute 3 for x. Thus:

[tex]f(3)=4(3)^2-6[/tex]

Square:

[tex]f(3)=4(9)-6[/tex]

Multiply:

[tex]f(3)=36-6[/tex]

Subtract:

[tex]f(3)=30[/tex]

And we're done!

Answer:

15.9% of the data will be greater than 235.3.

Step-by-step explanation:

Use a calculator with statistical functions.  In this case you'll need the cumulative normal distribution:  normcdf(.

Evaluate the following:  normcdf(235.3, 10000,186.4, 48.9):

We get:  0.159, or 15.9%

15.9% of the data will be greater than 235.3.

The range of value X > 284.2 of data will be greater than 235.3.

A Z-Score is a statistical measurement of a score's relationship to the mean in a group of scores.

We know that the upper 2.5% of data would be 97.5% of data.

We will use a z-score formula to solve our given problem.

[tex]\rm z=\dfrac{x-\mu}{\sigma}[/tex]

Where; z = z-score,

x = Random sample score,

[tex]\mu[/tex] = Mean,

[tex]\sigma[/tex] = Standard deviation.

We will use a normal distribution table to find a z-score corresponding to 97.5% area or 0.975.

We can see from the normal distribution table that the z-score corresponding to the area of 0.975 is 1.96.

[tex]\rm 1.96=\dfrac{x-186.4}{48.9}\\\\1.96 \times 48.9 =x-186.4\\\\x = 186.4 +95.84\\\\x=282.84[/tex]

Hence, the range of value X > 284.2 of data will be greater than 235.3.

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A rational number means it doesn't have a decimal that repeats. For example, 2/3 or 0.66....

There is only one number between 9.5 and 9.7. This number is 9.6.

The decimal doesn't repeat or go on forever so its rational.

Answer: 9.6

Best of Luck!

Answer:

9.6

Step-by-step explanation:

decimals are rational so ye

Answer:125-1/3 can be written as : none of these

Answer:

If x = 0, then f(0) = -15

If f(x) = 27, then x = 3

Answer:

She can buy a maximum of 8 apples.

Step-by-step explanation:

Let x represent the number of apples that she wants to buy.

The grocery store sells apples for $1 each and mangos for $0.50 each.

If Gabriella decided to buy 13 mangos, it means that the cost of buying x apples and 13 mangoes is expressed as

x + 13 × 0.5 = x + 6.5

If she buy at least 19 apples, it means that

x + 13 ≥ 19

x ≥ 19 - 13

x ≥ 6

Gabriella has $15 to spend. It means that

x + 6.5 ≤ 15

x ≤ 15 - 6.5

x ≤ 8.5

Therefore, the maximum number of apples that she can buy is 8

Answer:She would only be able to buy 8 more apples

Step-by-step explanation:

First you multiply 13 by .50 and you get 6.50

Next you subtract 6.50 from 15 and get 8.50

After that you see 1 dollar per apple so she can only get 8 apples for 8 dollars.

Therefore, she can only buy 8 more apples.

Extra:She can buy an extra mango with the leftover .50cent

Answer:

50$

Step-by-step explanation:

25 percent more means 1 and 1/4 of original price

aka 5/4

(5/4)(40)

50

OR

1/4 of 40 is 10

10 plus 40 is 50

Answer:

Step-by-step explanation:

[tex]Original \:price =\$40\\Percentage\:increase =25\%\\\\\frac{25}{100} \times 40\\\\= \frac{1000}{100} \\\\= \$10\\\\New\:price = \$40 +\$10\\= \$50[/tex]

Answer:

The constant in an algebraic expression is the number part of the expression for example.. IN 2x 2 is the constant it doesn't change and x is variable it may vary

Answer:

b) in the vertex.

Step-by-step explanation:

In the vertex. If the parabola opens up or down the axis of symmetry is x = a where a is the x coordinate of the vertex.

If it opens to the left or right the axis is y = a where a is the y-coordinate if the vertex.

Answer:

Step-by-step explanation:

There is a relationship between the degree of the polynomial and the number of times its graphed curved changes direction> this change is called turning point which is a point where the graph changes from increasing to decreasing or from decreasing to increasing

A polynomial of n degree will have n-1 turning points

ex: f(x)=x³+3x²+x+1

degree of polynomial is 3, it has 2 turning points (3-1)

Answer:

[tex]x = 1.2[/tex]

See Attachment for Graph

Step-by-step explanation:

Given

[tex]y = -x + 4[/tex]

[tex]y = 4x - 2[/tex]

Required

Determine the point of intersection

To do this, we simply equate both expressions of y

i.e.

[tex]-x + 4 = 4x - 2[/tex]

Solve for x

[tex]-x - 4x = - 2 - 4[/tex]

[tex]-5x = -6[/tex]

Divide through by -5

[tex]x = \frac{-6}{-5}[/tex]

[tex]x = \frac{6}{5}[/tex]

[tex]x = 1.2[/tex]

Hence, the point of intersection is 1.2

Answer:

6666666666/100000000000

Step-by-step explanation:

Answer:

The slope is -1/2

Step-by-step explanation:

-1/2 is a negative slope. Down 1 to the right 2

Answer:

[tex]\%\ decrease = 9.52\%[/tex]

Step-by-step explanation:

Given

[tex]Sales\ Price = \$209.99[/tex]

[tex]Saved = \$20.00[/tex]

Required

Determine the %decrease

First, we need to determine the amount paid

[tex]Amount = Sales\ Price - Amount\ Saved[/tex]

[tex]Amount = \$209.99 - \$20.00[/tex]

[tex]Amount = \$189.99[/tex]

The percentage decrease is the calculated as follows:

[tex]\%\ decrease = -100\% * \frac{Final - Initial}{Initial}[/tex]

In this case;

[tex]Initial = Sales\ Price = \$209.99[/tex]

[tex]Final = Amount\ Paid = \$189.99[/tex]

So; we have:

[tex]\%\ decrease = -100\% * \frac{189.99 - 209.99}{209.99}[/tex]

[tex]\%\ decrease = -100\% * \frac{-20}{209.99}[/tex]

[tex]\%\ decrease = 100\% * \frac{20}{209.99}[/tex]

[tex]\%\ decrease = \frac{2000\%}{209.99}[/tex]

[tex]\%\ decrease = 9.52426306015\%[/tex]

[tex]\%\ decrease = 9.52\%[/tex] (Approximated)

Answer:

the correct answer is B.

Answer:

Step-by-step explanation:

(-5, 4) and (0, 0)

(0 - 4)/(0 + 5) = -4/5

y - 4 = -4/5(x + 5)

y - 4 = -4/5x - 4

y = -4/5x

Answer: 122 ft

Step-by-step explanation:

s = r Ф   (Ф must be in radians)

Given: r = 50

          Ф = 140°

                 [tex]\dfrac{\pi}{180^o}=\dfrac{x}{140^o}[/tex]  

                 [tex]\dfrac{140^o\pi}{180^o}=x[/tex]

                     [tex]\dfrac{7\pi}{9}=x[/tex]

[tex]s=50\bigg(\dfrac{7\pi}{9}\bigg)\\\\\\.\quad =\dfrac{350\pi}{9}\\\\\\.\quad =122\ ft[/tex]

Answer:

D. 40

Step-by-step explanation:

The greater the interquartile range of a data set, the greater the variability.

Interquartile range = third quarter (Q3) - first quartile (Q1)

Interquartile range of City A = 70 - 40 = 30

Interquartile range of City B = 80 - 40 = 40.

City B has a greater interquartile range than city A, therefore, City B has the greater variability in temperature, with an interquartile range of 40.

The correct answer is 16737 mg

Explanation:

The first step to solve this problem is to convert the weight to kilograms because the dosage of the antibiotic is given in milligrams per kilo. This can be done by multiplying the pounds by 0.453 considering each pound is equal to 0.453 kilos. The process is shown below:

123 lb x 0.453 = 55.791 kg

Now, simply multiply the kilos by the recommended dose:

55.791 kg x 300 mg/kg = 16737 mg

Also, this can be converted to grams by dividing the number into 1000 (1000 mg = 1 g)

16737mg ÷ 1000 =  16.737 grames

Answer:

x-int: (-1.5, 0) and (3.5, 0)

y-int: (0, 3)

Increasing Interval: [-2, 1)

Decreasing Interval: (1, 4]

Constant Interval: [-4, -2)

Maximum: (1, 5)

Minimum: (4, -1) or (-4, -1) or (-2, -1) or (-3, -1)

Domain: [-4, 4]

Range: [-1, 5]

Step-by-step explanation:

x-intercepts are where the function f(x) crosses the x-axis when y = 0.

y-intercepts are where the function f(x) crosses the y-axis when x = 0.

Increasing interval is the set of x-values in which the graph f(x) increases in y-value.

Decreasing interval is the set of x-values in which the graph f(x) decreases in y-value.

Constant interval is the set of x-values in which the graph f(x) y-values stay constant.

Maximum is the largest y-value function f(x) can output.

Minimum is the smallest y-value function f(x) can output.

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted from function f(x).

Numbers 1 and 2 are correct.

Question 3:

We can see in each figure, the number of rows matches the figure amount. For example, figure 1 has 1 row, figure 2 has 2 rows, figure 3 has 3 rows, etc. Another thing we can see is that one block gets added to each column in every figure. If we count starting from 3 and keep adding 1 for each column, we get 22 blocks for one column. In figure 20, there will be 20 rows and 22 columns. We also have to keep in mind that they add 2 extra blocks at the top and bottom that stick out like the ones shown. In total, figure 20 will consist of 442 blocks.

Question 4:

[(2 + f) * (f)] + 2 = b

(2 + f) represents the number of blocks in each column.

(f) represents the number of blocks in each row.

2 represents the two extra blocks in each figure.

Note that f in this equation equals the number of the figure. For example, figure 3 is f = 3

We can test our equation with figure three.

[(2 + f) * (f)] + 2 = b

We have figure three so f = 3. Substitute and solve.

[(2 + 3) * (3)] + 2 = b

[5 * 3] + 2 = b

15 + 2 = b

17 = b

In the example, the number of blocks is 17. Therefore, this equation works for any figure.

Best of Luck!

Answer:

We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.

4th question:

[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b

The number of blocks in each column is represented by (2 + f).

The number of blocks in each row is represented by (f).

We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.

4th question:

[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b

The number of blocks in each column is represented by (2 + f).

The number of blocks in each row is represented by (f).

Answer:

x = 0

Step-by-step explanation:

x (40 °) ((3 x + 10) °)

40 x (3 x + 10) °^2

Expanded form:

120 x^2 °^2 + 400 x °^2

Roots:

x = -10/3

x = 0

Alternative forms:

40/3 (3 x + 5)^2 °^2 - (1000 °^2)/3

x (120 x °^2 + 400 °^2)

1/810 π^2 x (3 x + 10)

Geometric figure:

Parabola

HOPE I HELPED!

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex]2^4[/tex]

To solve, you're gonna have to multiply 4 times.

[tex]2*2*2*2[/tex]

[tex](2*4)(2*4)[/tex]

Since [tex]4*2[/tex] is [tex]8[/tex] , you will have to multiply [tex]8[/tex] by [tex]2[/tex].

[tex]8*2=16[/tex]

Your answer is [tex]16[/tex].

Hope this helps!

Step-by-step explanation:

(AUB)={1,2,3,4,6 }

(AUB)nC={1,2,3,4 }

The element of the set is (AUB)’ n C= { 5}

From the information given, we have that the sets are;

U ={1,2,3,...,6}

A={1,3,4,6}

B={1,2,3}

C={1,2,3,4,5}

Now, we have to take note of the following;

From the information given, we then have;

A. (AUB) = { 1, 2, 3, 4, 6}

(AUB)' = { 5}

c = {1, 2, 3, 4, 5}

Then,  the set;

(AUB)’ n C= { 5}

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Answer:

x^8

Step-by-step explanation:

Answer:

[tex]x^8[/tex]

Step-by-step explanation:

[tex](x^4)^2[/tex]

To solve, we will have to multiply [tex](x^4)*(x^4)[/tex] .

[tex](x^4)*(x^4)[/tex]

Now we have to multiply x.

[tex](x*x*x*x)*(x*x*x*x)[/tex]

Let's remove the parenthesis and multiply x all together.

[tex]x*x*x*x*x*x*x*x[/tex]

We multiplied x 8 times so your answer is

[tex]x^8[/tex]

Hope this helps!