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3 years ago

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the windows approximate circumstance

Mathematics

1 answer:

VikaD [51]3 years ago

7 0

Answer:

18.85 m

Step-by-step explanation:

The circumference of a circle is the product of pi and the diameter:

C = πd = 3.1415(6 m) ≈ 18.85 m

The window has an approximate circumference of 18.85 meters.

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2 children share 2 small boxes of cereal

adelina 88 [10]

Each person would get 1 bix of cereal because 2 divided by 2 = 1

Hope that helps!!! ;)

6 0

3 years ago

SURFACE OF AREA OF PRISMS (please help)

Anton [14]

Answer:

Step-by-step explanation:

SA=2(LW+LH+WH)

SA=2(5+4+3)

SA=2(12)

SA=24

SA=bH+2LS+bL

SA=4+2x7+8

SA=4+14+8

SA=25

SA=2(LW+LH+WH)

SA=2(13+17+2)

SA=2x32

SA=64

(the rest of the shapes

i can't see but you can use that formula to do it <3 GL!)

3 0

2 years ago

#2) Choose the graph that matches the equation below. y = 1/2x+1 A B C D

frosja888 [35]

For questions like this search up desmos graphing and put that equation in.

4 0

2 years ago

Please Help!!! Find X for the triangle shown.

pochemuha

Answer:

$x = 2$

Step-by-step explanation:

Given a right-angled triangle as shown above,

Included angle = 60°

Opposite side length = 3

Adjacent side length = x

To find x, we would use the following trigonometric ratio as shown below:

$tan(60) = \frac{3}{x}$

multiply both sides by x

$x*tan(60) = \frac{3}{x}*x$

$x*tan(60) = 3$

Divide both sides by tan(60)

$\frac{x*tan(60)}{tan(60} = \frac{3}{tan(60}$

$x = \frac{3}{tan(60}$

$x = 1.73$

$x = 2$ (approximated to whole number)

4 0

2 years ago

An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the

kow [346]

Answer:

$z=\frac{640-675}{\frac{75}{\sqrt{30}}}=-2.556$

For this case we don't have the significance level provided $\alpha$ but we know the final conclusion and on this case is not reject the null hypothesis, so that means :

$p_v >\alpha$

Where $p_v = 2*P(z$ represent the p value for this test.

So then we can't conclude that we have a significant difference from the specified value of 675 for the true mean.

Step-by-step explanation:

Data given and notation

$\bar X=640$ represent the sample mean

$\sigma=75$ represent the population standard deviation for the sample

$n=30$ sample size

$\mu_o =675$ represent the value that we want to test

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

z 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.

We need to conduct a hypothesis in order to check if the mean is equal to 675 or no, the system of hypothesis would be:

Null hypothesis: $\mu = 675$

Alternative hypothesis: $\mu \neq 675$

If we analyze the size for the sample is = 30 and we know the population deviation so 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".

Calculate the statistic

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

$z=\frac{640-675}{\frac{75}{\sqrt{30}}}=-2.556$

For this case we don't have the significance level provided $\alpha$ but we know the final conclusion and on this case is not reject the null hypothesis, so that means :

$p_v >\alpha$

Where $p_v = 2*P(z$ represent the p value for this test.

So then we can't conclude that we have a significant difference from the specified value of 675 for the true mean.

4 0

3 years ago