In the figure shown below find the value of a, round to the nearest tenth.

Between which pair of consecutive integers does √111 lie

lisabon 2012 [21]

B. 10 and 11
This is because 10x10 is 100, so thats less than what you need and then 11x11 is 121, and that is more than you need... So it would be between 10 and 11.

7 0

3 years ago

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Mathematical Statistics with Applications Help Homework

Mars2501 [29]

7.43: Let $X$ denote the random variable for height and $\overline X$ for the sample mean. Then if $\mu$ is the mean of

So the probability that the difference between the sample and population means does not exceed 0.5 inch is

$P(|\overline X-\mu|\le0.5) = P\left(\left|\dfrac{\overline X-\mu}{0.25}\right|\le\dfrac{0.5}{0.25}\right) = P(|Z|\le 2) \approx \boxed{0.95}$

per the empirical or 68/95/99.7 rule.

7.44: For a sample of size <em>n</em>, the sample standard deviation would be $\frac{2.5}{\sqrt n}$ . We want to find <em>n</em> such that

$P(|\overline X-\mu| < 0.4) = 0.95$

Comparing to the equation from the previous part, this means we would need

$\dfrac{0.4}{\frac{2.5}{\sqrt{n}}} = 0.16\sqrt n = 2 \implies \sqrt n = 12.5 \implies n = 156.25$

so a sample of at least 157 men would be sufficient.

7 0

3 years ago

Which numbers will round to 3.75 when rounded to the nearest hundredth and will round to 3.7 when rounded to the nearest tenth

Lina20 [59]

Answer:

3.646

3.648

3.647Step-by-step explanation:

6 0

2 years ago

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The cost of admission to the State Fair changed from $8.50 last year to $10.00 this year. Round to the nearest tenth. Show your

seropon [69]

Answer:

Percent increase is 17.6%

We still have to pay 7.50 with the coupon

Step-by-step explanation:

Percent increase = (new- original)/original *100%

= (10-8.5)/8.5 * 100%

= 1.5/8.5 * 100%

= 17.6470588%

Round to the nearest tenth

17.6%

This is an increase since the cost went up.

If we have 25% off, we still have to pay (100%-25%) = 75%

10 *.75 = 7.50

We still have to pay 7.50 with the coupon

6 0

3 years ago

Help me plsssssssssssss

LUCKY_DIMON [66]

Answer:

The radius is 5 cm

Step-by-step explanation:

The formula for the area of a circle is : $\p*radius^2$

To work out the length of the radius you would first need to divide the area of 78.5 cm by pi (pi=3.14), this gives you $25cm^2\\$ . This is because by dividing the area by pi we are isolating the value of the radius squared.

The final step is to work out the radius. You can do this by finding the square root of the radius squared which is 25, this gives you 5 cm. This means that the radius is 5 cm. This is because the square root is a number that when squared equals that number.

1) Divide 78.5 by pi.

$78.5/\pi=25cm^2$

2) Find the square root of 25 cm squared.

$\sqrt{25} =5 cm$

In this question pi is 3.14

6 0

3 years ago