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kolbaska11 [484]
2 years ago
8

If y varies directly as the square of x and Y--54 when x-9, then -- when x-6. True or false

Mathematics
1 answer:
mario62 [17]2 years ago
8 0

Answer:

24.012

Step-by-step explanation:

y=kx^2

54=81k

k=54/81

k=0.667

y=kx^2

y=0.667×36

y=24.012

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The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten c
Nikolay [14]

Answer:

s(c)= 4.4c

Step-by-step explanation:

7 0
3 years ago
Find the critical value needed to construct a 95% CI of a population mean with an unknown standard deviation and a sample size o
kaheart [24]

Answer:

t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

In order to find the critical value we need to take in count that we are finding the critical value for the population mean and without the standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. We need to calculate the degrees of freedom are given by:

df=n-1=39-1=38

We can find the critical value using the following excel codes:

"=T.INV(0.025;38)" or "T.INV(1-0.025;38)"

And the critical values would be given by:

t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02

7 0
3 years ago
Given: circle k(O), m AM=125°, m EF=31°, m∠MAF=75°. Find: m∠AME
Bess [88]

Answer:

58°

Step-by-step explanation:

If m AM=125°, then m∠AOM=125°.

If m∠MAF=75°, then m∠MOF=150° (because central angle MOF subtends on the same arc as inscribed angle MAF).

Thus,

m∠FOA=360°-150°-125°=85°.

If mEF=31°, then m∠EOF=31° (as central angle subtended on the arc EF).

Hence,

m∠EOA=m∠EOF+m∠FOA=31°+85°=116°.

Angle EOA is central angle subtended on arc EA, angle AME is inscribed angle subtended on arc AE, thus

m∠AME=1/2m∠EOA=58°.

7 0
4 years ago
Does anyone know this????
Llana [10]
Picture isn't loading can you write it down?

3 0
3 years ago
Can someone please answer this and EXPLAIN how to solve it? ill mark brainliest.
iragen [17]

Answer:

254.34 in^2

Step-by-step explanation:

Replace de values on the formula

a = \pi {r}^{2}  \\ a = (3.14)(9)^{2}  \\ a = 254.34

7 0
2 years ago
Read 2 more answers
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