20 PTS! WILL MARK BRAINLIEST
A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of the cross-section of the cylinder is 50π square units. Based on this information, which argument can be made?

The volume of the square prism is one third the volume of the cylinder.
The volume of the square prism is half the volume of the cylinder.
The volume of the square prism is equal to the volume of the cylinder.
The volume of the square prism is twice the volume of the cylinder.

Answer:

3² = (√2)² + (√7)²

Step-by-step explanation:

The given sides to us are 3 , √2 and √7. We can check if these are the sides of right angled triangle.

=> h² = p² + b²

=> 3² = (√2)² + (√7)²

=> 9 = 2 + 7

=> 9 = 9

Answer:

Part A:

She would need $598 after 6 weeks of collecting money.

Part B:

She would have waited 17 weeks to have $411 left.

Step-by-step explanation:

Part A:

Replace w in 700 - 17w with 700 - 17(6).

This would give you $598 left until $700 has been reached.

Part B:

Replace w in 700 - 17w with 700 - 17(17).

This would give you $411 left until $700 has been reached.

Answer:

$21.60

Step-by-step explanation:

O.40 × 3.00 = 1.2

1.2 × 18 = 21.6

$21.60 was the owners profit yesterday.

Answer:

104 in

Step-by-step explanation:

heres the answer :) uhh i need 20 wrds so uhhhhhskcljadj

Answer:

8

Step-by-step explanation:

You only have 8 socks and its a combination of both socks and t-shirts.  Hope this helps!

Answer:

80

Step-by-step explanation:

10*8=80

Answer:

79 hours

Step-by-step explanation:

(5×1 )(5 1/2 ×3 )(6×4 )(6 1/2 × 3)( 7×2)= 79 hours

Answer:

There is no passage/short story etc. to base this question off of, but if you copy and paste it I'll come back and edit my answer :)

Answer: there is your answer and how

Step-by-step explanation:

=======================================================

Work Shown:

We'll apply these log rules

[tex]\text{Log Rule 1: } \ \ \ \ln\left(\frac{x}{y}\right) = \ln(x) - \ln(y)\\\\[/tex]

[tex]\text{Log Rule 2: } \ \ \ \ln\left(x^y\right) = y\ln(x)\\\\[/tex]

These log rules can be used for logs of any base, and not just natural logs.

[tex]z = \ln\left(\frac{\sqrt{x}}{y}\right)\\\\z = \ln\left(\sqrt{x}\right)-\ln\left(y\right) \text{ ... Use log rule 1}\\\\z = \ln\left(x^{1/2}\right)-\ln\left(y\right)\\\\z = \frac{1}{2}\ln\left(x\right)-\ln\left(y\right) \text{ ... Use log rule 2}\\\\z = \frac{1}{2}u-v\\\\[/tex]

Therefore,

[tex]\ln\left(\frac{\sqrt{x}}{y}\right) = \frac{1}{2}u-v\\\\[/tex]

when [tex]u = \ln(x) \ \text{ and } \ v = \ln(y)\\\\[/tex]

Answer:

x - 89.95 ≤ 30.05= x ≤ 120

add 89.95 to both sides of the equation. Since on the right side 89.95 is already there it cancells eachother out leaving x. After adding 89.95 to 30.05 you should get an answer of 120.

The money Sarah's dad wants to spend in all if Sarah's dad bought her a scooter that costs $89.95, He can spend up to $30.05 on a helmet, which is less than or equal to $120, x ≤ 120.

Inequality is a relationship that compares two numbers or other mathematical expressions in an unequal way. Inequalities are the name given to certain algebraic mathematical expressions.

Given:

Sarah's dad bought her a scooter that cost $89.95,

He can spend up to $30.05 on a helmet,

Assume the x is the money Sarah's dad wants to spend in all,

Write the inequality as shown below,

x - 89.95 ≤ 30.05

Solve the inequality by adding 89.95 on both sides,

x - 89.95  + 89.95   ≤ 30.05 + 89.95  

x ≤ 120

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Answer: 20 cm²

Step-by-step explanation:

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

Rectangular prism Volume

5*5*6.3

157.5

Right triangle prism Volume

(3*5*6.3) / 2

94.5 / 2

47.25

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

204.8 cm^3 = Total Volume

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

216.8 cm^2 = Total Surface Area

Answer:

700 words

Step-by-step explanation:

280: 4

x:10

280/4 = x/10

4times x is equal to 4x and 280 times 10 is equal to 2800

4x=2800

2800 divided by x is 700.

The answer is 700 words per 10 minutes.

Answer:

b

Step-by-step explanation:

Answer:

a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.

Step-by-step explanation:

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]H_o : p =0.31\\\\H_a: p \neq 0.31\\\\n = 8606 \\\\ p^ = 0.32[/tex]

[tex]TS = \frac{(p^ - p)}{\sqrt{(\frac{pq}{n})}}[/tex]

      [tex]= \frac{(0.32-0.31)}{\sqrt{(\frac{0.31\times 0.69}{8368})}}\\\\=\frac{0.01}{5.4}\\\\=0.00185\\\\[/tex]

Answer:

(–5 , –4)

Step-by-step explanation:

when you rotate 180° whether clockwise or counterclockwise, the value of x and y will remain the same, but you need to change the + to – and – to +

Answer:

5 complete scarves

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Total yarn = (amount of yarn per scarf) (amount of scarfs)

(8/9) = (1/6) (amount of scarfs)

amount of scarfs = (8*6)/9 = 48/9 = 5. 33333, so the amount of complete handkerchiefs she can make is 5.

To find the property tax, you would multiply the mill rate by 0.01

To find the property tax, you would multiply the assessed value of the property by the mill rate.

Given that the assessed value is $225,000 and the mill rate is 14.5, we need to multiply these two values to calculate the property tax.

Property Tax = Assessed Value × Mill Rate

Property Tax = $225,000 × 14.5

To simplify the calculation, we can convert the mill rate to a decimal by dividing it by 1,000.

Mill Rate = 14.5 ÷ 1000 = 0.0145

Property Tax = $225,000 × 0.0145

Property Tax = $3,262.50

Therefore, to find the property tax, you would multiply the mill rate by 0.01 (option c).

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Answer:

A)H0: μ1 − μ2 = 0

Ha: μ1 − μ2 ≠ 0

(b)  Means

Company A___50.6___ min.

Company B___52.75___ min.

c)The t-value is -0.30107.

The p-value is 0 .764815.

C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

Step-by-step explanation:

A)H0: μ1 − μ2 = 0

i.e there is no difference between the means of delayed flight for two different airlines

Ha: μ1 − μ2 ≠ 0

i.e there is a difference between the means of delayed flight for two different airlines

(b)

Company A___50.6___ min.

Company B___52.75___ min.

Mean of Company A = x`1= ∑x/n =34+ 59+ 43+ 30+ 3+ 32+ 42+ 85+ 30+ 48+ 110+ 50+ 10+ 26+ 70+ 52+ 83+ 78+ 27+ 70+ 27+ 90+ 38+ 52+ 76/25

= 1265/25= 50.6

Mean of Company B = x`2= ∑x/n =

=46+ 63+ 43+ 33+ 65+ 104+ 45+ 27+ 39+ 84+ 75+ 44+ 34+ 51+ 63+ 42+ 34+ 34+ 65+ 64/20

= 1055/20= 52.75

Difference Scores Calculations

Company A

Sample size for Company A= n1= 25

Degrees of freedom for company A= df1 = n1 - 1 = 25 - 1 = 24

Mean for Company A= x`1=  50.6

Total Squared Difference (x-x`1) for Company A= SS1: 16938

s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75

Company B

Sample size for Company B= n1= 20

Degrees of freedom for company B= df2 = n2 - 1 = 20 - 1 = 19

Mean for Company B= x`2=  52.75

Total Squared Difference (x-x`2) for Company B= SS2=7427.75

s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93

T-value Calculation

Pooled Variance= Sp²

Sp² = ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)

Sp²= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65

s2x`1 = s2p/n1 = 566.65/25 = 22.67

s2x`2 = s2p/n2 = 566.65/20 = 28.33

t = (x`1 - x`2)/√(s2x`1 + s2x`2) = -2.15/√51 = -0.3

The t-value is -0.30107.

The total degrees of freedom is = n1+n2- 2= 25+20-2=43

The critical region for two tailed test at significance level ∝ =0.05 is

t(0.025) (43) = t > ±2.017

Since the calculated value of t=  -0.30107.  does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.

The p-value is 0 .764815. The result is not significant at p < 0.05.

In this exercise, it is necessary to use the knowledge given by the airlines and the flights, having as a solution:

a)[tex]H_0: \mu_1 -\mu_2 = 0\\H_a:\mu_1 -\mu_2\neq 0[/tex]

b)  Means: Company A 50.6 min.

Company B 52.75 min.

c)The t-value is -0.30107.

The p-value is 0 .764815.

C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

A)[tex]H_0: \mu_1 -\mu_2 = 0[/tex]

There is no difference between the means of delayed flight for two different airlines:

[tex]H_a:\mu_1 -\mu_2\neq 0[/tex]

There is a difference between the means of delayed flight for two different airlines.

(b) Mean of Company A[tex]= x_1= \sum{x/n} = 1265/25= 50.6[/tex]

Mean of Company B [tex]= x_2= \sum{x/n} =1055/20= 52.75[/tex]

C) Difference Scores Calculations:

Company A:

Sample size for Company [tex]A= n1= 25[/tex]

Degrees of freedom for company [tex]A= df1 = n1 - 1 = 25 - 1 = 24[/tex]

Mean for Company [tex]A= x_1= 50.6[/tex]

Total Squared Difference for Company [tex]A= SS1: 16938\\s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75[/tex]

Company B:

Sample size for Company [tex]B= n1= 20[/tex]

Degrees of freedom for company [tex]B= df2 = n2 - 1 = 20 - 1 = 19[/tex]

Mean for Company[tex]B= x_2= 52.75[/tex]

Total Squared Difference for Company [tex]B= SS2=7427.75\\s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93[/tex]

T-value Calculation

Pooled Variance= Sp²

[tex]Sp^2= ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)\\Sp^2= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65\\s2x_1 = s2p/n1 = 566.65/25 = 22.67\\s2x_2 = s2p/n2 = 566.65/20 = 28.33\\t = (x_1 - x_2)/\sqrt{s2x_1 + s2x_2} = -2.15/\sqrt{51} = -0.3[/tex]

The t-value is -0.30107.

The total degrees of freedom is [tex]= n1+n2- 2= 25+20-2=43[/tex]

The critical region for two tailed test at significance level ∝ =0.05 is [tex]t(0.025) (43) = t > 2.017[/tex]

Since the calculated value of t=  -0.30107.  does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.

The p-value is 0 .764815. The result is not significant at p < 0.05.

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Answer:

B

Step-by-step explanation: