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4 years ago

Ve.

Mathematics

1 answer:

RoseWind [281]4 years ago

5 0

Answer:

Step-by-step explanation: Since the question does not specify wether the temperature dropped every hour or if it was the total, in this case we can assume this was in total. If you ended up with -2 after subtracting 13, to get the starting temperature you can add -2 to 13.

-2 + 13 = 11

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Averages woman's brain: 1 3/10 kg (kilograms), 2 8/10 lbs (pounds), Average human heart, 3/10 kg, 7/10 lbs, What Is the total we

Harman [31]

Tdhggghhdifjggggkgjjhbn

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3 years ago

A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=918 and x=521 who said "

s2008m [1.1K]

Answer:

B) The margin of error is 0.0269.

C) The confidence interval is (0.5406, 0.5944).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In the poll, n=918 and x=521 who said "yes."

This means that $n = 918, \pi = \frac{521}{918} = 0.5675$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

B) Identify the value of the margin of error E.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.645\sqrt{\frac{0.5675*0.4325}{918}} = 0.0269$

The margin of error is 0.0269.

C) construct the confidence interval.

$\pi \pm M$

$\pi - M = 0.5675 - 0.0269 = 0.5406$

$\pi + M = 0.5675 + 0.0269 = 0.5944$

The confidence interval is (0.5406, 0.5944).

5 0

3 years ago

wo urns contain white balls and yellow balls. The first urn contains 3 white balls and 6 yellow balls and the second urn contain

vlada-n [284]

Answer:

Answer is

$\frac{7}{30}$

Step-by-step explanation:

Given that there are two urns. First urn contains 3 white balls and 6 yellow balls and the second urn contains 7 white balls and 3 yellow balls.

A ball is drawn from each urn.

Probability for ball from urn I is white = no of white balls/total balls in I urn

$= \frac{3}{9} =\frac{1}{3}$

Probability for ball from urn II is white = no of white balls/total balls in I urn

$=\frac{7}{10}$

Since drawing one ball from each urn is independent of the other we find

Prob that both balls are white=

Prob that ball from I urn is white *Prob that ball from II urn is white

= $= \frac{7}{10} *\frac{1}{3}\\=\frac{7}{30}$

5 0

3 years ago

Read 2 more answers

Kamal invested $1200 in a savings acc paying 1.8% per yr compound interest.

Greeley [361]

Answer:

A = $1311 and 96cents

Step-by-step explanation:

$A = P(1 + \frac{r}{n})^{nt}$

P = $1200

r = 1.8% = 0.018

n = 1 (compounded yearly)

t = 5

$A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96$

7 0

3 years ago

Identify the vertex of y = x^2 + 4x + 5

docker41 [41]

Answer:

D. (-2,1)

Step-by-step explanation:

we have

$y=x^2+4x+5$

This is the equation of a vertical parabola open upward The vertex represent a maximum

Convert the quadratic equation in vertex form

$y=a(x-h)^2+k$

where

(h,k) is the vertex

Complete the square

$y=(x^2+4x+2^2)+5-2^2$

$y=(x^2+4x+4)+5-4$

$y=(x^2+4x+4)+1$

Rewrite as perfect squares

$y=(x+2)^2+1$

The vertex is the point (-2,1)

3 0

4 years ago