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amm1812
3 years ago
10

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4pi units. The base of cylinder B has an

Mathematics
1 answer:
Wittaler [7]3 years ago
6 0

Answer:

d) 9/4

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given circumference of cylinder A = π r² = 4π units

Given circumference of cylinder B = π r² = 9π units

The  dimensions of cylinder A are multiplied by \frac{9}{4}

   circumference of cylinder A = π r² = 4π(\frac{9}{4}) units     = 9 π units  

circumference cylinder A= 4π(\frac{9}{4}) units = 9 π units = circumference of cylinder B

<u><em>Final answer</em></u>:-

<em>The dimensions of cylinder A are multiplied by 9/4  produce the corresponding dimensions of cylinder B</em>

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Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the pre
choli [55]

Answer:

z=\frac{0.4 -0.48}{\sqrt{\frac{0.48(1-0.48)}{115}}}=-1.717  

p_v =P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that have traded in their old car is lower than 0.48 or 48%.  

Step-by-step explanation:

Data given and notation

n=115 represent the random sample taken

X=46 represent the number of people that have traded in their old car.

\hat p=\frac{46}{115}=0.4 estimated proportion of people that have traded in their old car

p_o=0.48 is the value that we want to test

\alpha=0.1 represent the significance level

Confidence=90% or 0.9

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is less than 0.48.:  

Null hypothesis:p\geq 0.48  

Alternative hypothesis:p < 0.48  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.4 -0.48}{\sqrt{\frac{0.48(1-0.48)}{115}}}=-1.717  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.1. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that have traded in their old car is lower than 0.48 or 48%.  

4 0
3 years ago
Sians room is in the shape of a square. It’s area is 121 square feet . How long is one side of sian’s room ?
Sladkaya [172]
11. Square root of 121
5 0
3 years ago
Translate each verbal phrase into an algebraic expression or equation.
mario62 [17]

Answer:

13) 7 + x/2 = 10

14)  2x - 5 = 7

15) 4x - 1 = 11

16) 6x - 6 = 12

17) x/3 + 10 = 12

18) 2x + 7 = 1

19) 9 + x/7 = 11

20) 8(n - 3)

Step-by-step explanation:

The quotient of x and 2 = x ÷ 2 = x/2

The product is the result of multiplying two or more other numbers

The sum is the result of adding two or more numbers

The difference is the result of subtracting one number from another

13) 7 + x/2 = 10

14)  2x - 5 = 7

15) 4x - 1 = 11

16) 6x - 6 = 12

17) x/3 + 10 = 12

18) 2x + 7 = 1

19) 9 + x/7 = 11

20) 8(n - 3)

7 0
3 years ago
Geometry Helps please<br> (Only correct Answers only please) Thanks!
nlexa [21]

Answer:

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Step-by-step explanation:

volume \: of \: cone \\ \\   =  \frac{1}{3}\pi {r}^{2}  h \\  \\  =  \frac{1}{3}  \times 3.14 \times  {(6)}^{2}  \times 8 \\  \\  = \frac{1}{3}  \times 3.14 \times 36 \times 8  \\  \\  = 3.14 \times 12 \times 8 \\   \\ = 301.44 \:  {units}^{3}  \\  \\  \red{ \bold{volume \: of \: cone = 301.44 \:  {units}^{3}}}

7 0
3 years ago
What is the square root of 17.5?
QveST [7]

Answer:

4.183

Step-by-step explanation:

4.183

Hope it helps

hope it helps

4 0
3 years ago
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