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3 years ago

7

two cylinders are similar. the surface area of one is 64cm2 and the surface area of the other one is 81cm2. find the scale facto

r between them.

1 answer:

Kitty [74]3 years ago

7 0

Answer:

this should help I guess pls tell me if it was wrong

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A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

6 0

3 years ago

Scientific notation<br> 9.78 × 10^5 - 732,000<br> It has to be either 2.46 × 10^5 or 2.46 × 10^3

Morgarella [4.7K]

Answer:

$2.46\times 10^5$

Step-by-step explanation:

$9.78 \times 10^5 - 732,000\\= 9.78 \times 10^5 - 7.32 000\times 10^5\\= 9.78 \times 10^5 - 7.32\times 10^5\\= 2.46\times 10^5$

3 0

4 years ago

U please please have to help if u know

aniked [119]

If the volume is 108, and the height is 3 meters, you would divide 108 by 3 , which is 36.

8 0

3 years ago

A store buys purses for $24.50 and then marks them up 25%. The store then discounts any purses that do not sell in the first mon

Sergeu [11.5K]

Answer:$27,57

1)find out how much wallets cost in the first month:

24,50 -100%

х - 125%

х= 24,50*125/100 ≈ 30,63

2)we will find out how much the wallets cost after the price is reduced by 10%:

30,63 - 100%

х -90%

х=30,63*90/100 ≈ 27,57

Step-by-step explanation:

3 0

3 years ago

The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, on

fiasKO [112]

Answer:

Step-by-step explanation:

Get the perimeter of the each shape and add it all up to get the total fencing material required.

2 square flower beds = 2 x 4a = 8a

1 rectangular play ground = 2l + 2w

total fencing material = 8a + 2l + 2w

7 0

3 years ago