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kap26 [50]
3 years ago
7

Without computing, tell whether each product or quotient is positive or negative. EXPLAIN WHY.

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer:

negative because any positive number multiplied by a negative number will be negative, the only way to make it positive is to multiply a negative number by another negative number.

Step-by-step explanation:

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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
The sum of 5 consecutive integers is 205. What is the third number?
Elza [17]
If 5 consecutive integers is 205,

then a + b + c + d + e = 205
 but also, each integer is separated  by a difference of 1

⇒  a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 205
⇒  5a + 10 = 205
⇒            5a = 195
⇒               a = 39

∴ third term = 39 + 2
                     = 41
7 0
3 years ago
Draw the image of ∆ABC under the dilation with scale factor 4 and center of dilation (-3, -4).
castortr0y [4]

Answer:

ABC

Step-by-step explanation:

7 0
3 years ago
Mrs rodriguez needs you to calculate the AREA of a circular pool with radius of 5 meters to help her figure out if it will fit i
Mila [183]
The formula for an area of a circle is A= pi(r)^2
so if you plug in 5 to r (because it’s the radius) you should get A= 78.5
3 0
3 years ago
Which sequence can be generated from the formula f(x + 1) = One-half(f(x))?
AlekseyPX

Answer:

x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 8 EndFraction, ellipsis

Step-by-step explanation:

7 0
3 years ago
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