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3 years ago

How do you convert 5/9 into a decimal ?

Mathematics

1 answer:

Anarel [89]3 years ago

8 0

Answer:

0.5555 repeating

Step-by-step explanation:

Divide 5 by 9

Since 9 can't go into 5 the first time put zero and then add a zero to 5.

Then 9 can go into 50 5 times with a remainder of 5.

Since the remainder is the same as the first term then it will just be repeated

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An article regarding interracial dating and marriage recently appeared in the Washington Post. Of the 1,709 randomly selected ad

VMariaS [17]

Answer:

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

323 blacks, 86% of blacks said that they would welcome a white person into their families. This means that $n = 323, p = 0.86$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 - 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8222$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 + 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8978$

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

5 0

4 years ago

Suppose a large shipment of microwave ovens contained 12% defectives. If a sample of size 474 is selected, what is the probabili

melisa1 [442]

Answer:

$P(\hat p>0.14)$

And using the z score given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

Where:

$\mu_{\hat p} = 0.12$

$\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149$

If we find the z score for $\hat p =0.14$ we got:

$z = \frac{0.14-0.12}{0.0149}= 1.340$

So we want to find this probability:

$P(z>1.340)$

And using the complement rule and the normal standard distribution and excel we got:

$P(Z>1.340) = 1-P(Z$

Step-by-step explanation:

For this case we have the proportion of interest given $p =0.12$ . And we have a sample size selected n = 474

The distribution of $\hat p$ is given by:

$\hat p \sim N (p , \sqrt{\frac{p(1-p)}{n}})$

We want to find this probability:

$P(\hat p>0.14)$

And using the z score given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

Where:

$\mu_{\hat p} = 0.12$

$\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149$

If we find the z score for $\hat p =0.14$ we got:

$z = \frac{0.14-0.12}{0.0149}= 1.340$

So we want to find this probability:

$P(z>1.340)$

And using the complement rule and the normal standard distribution and excel we got:

$P(Z>1.340) = 1-P(Z$

4 0

4 years ago

Find the probability of drawing a 8 of Diamonds from a 52-card deck given the deck is properly shuffled.

Naddik [55]

Answer:

1/52

Step-by-step explanation:

There is only one 8 of diamonds in a deck of 52 cards. The deck is properly shuffled, so every card has an equal probability of being selected. So the probability is 1/52.

7 0

4 years ago

Mark spent a total of $16.35 to buy a total of 11 bags of carrots and bags of tomatoes. Each bag of carrots costs $1.05, and eac

elena-s [515]

Answer:

x= 12

Step-by-step explanation:

5 0

3 years ago

Solve each equation by factoring x^2+4x+4=0

makkiz [27]

Answer: x = -2

Step-by-step explanation:

Find 2 numbers whose product is the c-value of 4 and their sum is the b-value of 4.

x² + 4x + 4 = 0

∧

1 + 4 = 5

2 + 2 = 4 this works! so the factors are:

(x + 2)(x + 2) = 0

x + 2 = 0 and x + 2 = 0

x = -2 and x = -2 --> same answer so only need to list it once

6 0

4 years ago