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In a sale normal prices are reduced by 10%

astraxan [27]

in sale normal prices are reduced by 10% nathaile bought a pair of shoes in the sale for $54 10% of 54 is 59.4

5 0

3 years ago

Helicopters can land on circular pads. The area of a landing pad is 1,962.5 square feet. What is the radius of the pad? Use 3.14

notsponge [240]

Answer:

25 ft

Step-by-step explanation:

The area of this landing pad is 1,962.5 ft², which equals πr².

We solve this equation for r²:

1962.5 ft²

r² = ----------------- = 625 ft²

3.14

Taking the square root of both sides, we get:

r = √(625 ft²) = 25 ft

The radius is 25 ft.

5 0

3 years ago

Read 2 more answers

An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t

erastova [34]

Answer:

$z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23$

The p value would be given by:

$p_v =2*P(z$

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

$\bar X=46.5$ represent the mean

$\sigma=1.1$ represent the population standard deviation

$n=150$ sample size

$\mu_o =46.7$ represent the value to verify

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:

Null hypothesis: $\mu = 46.7$

Alternative hypothesis: $\mu \neq 46.7$

Since we know the population deviation the statistic is given by:

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

Replacing we got:

$z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23$

The p value would be given by:

$p_v =2*P(z$

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

7 0

3 years ago

Which is the solution to the equation solved for p? (q + p)q = (s + r)s

Brums [2.3K]

Answer:

Option B

Step-by-step explanation:

$(q + p)q = (s + r)s$