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kiruha [24]
3 years ago
14

The area of a circle is less than 1 dm². Find the radius of the circle.

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

Step-by-step explanation:

pi r^2 < 1

r^2 < 1/π

r < 1/√π dm

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7(6+d)=49 Solve for d.<br><br> A:d=7<br> B:d=-1<br> C:d=-7<br> D:d=1
Elan Coil [88]

Answer: d = 1

Step-by-step explanation:

First distribute the 7 to each term of (6 + d) = 42 + 7d = 49 now subtract 42 from both sides which = 7d = 7. Divide by 7 = 7d/7 = 7/7 = d = 1

3 0
3 years ago
A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop
attashe74 [19]

Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

8 0
3 years ago
Which expression is equivalent to 3x-4+2(2+4x)
adell [148]
First distribute the 2(2+4x)

3x-4+4+8x

then just combine like terms.

8+11x

therefore

3x-4+2(2+4x)=8+11x<span />
6 0
3 years ago
Find the value of y.y^2=169
wel

y^2=169

y = √169

y = + / - 13

Answer

y = -13 or y = 13

8 0
3 years ago
What is the slope of the line that passes through the given points? (1,8) (8,9)
igor_vitrenko [27]
9-8        1
-----  =  -----.  
8-1         7

The answer is 1/7.
6 0
3 years ago
Read 2 more answers
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