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1 year ago

The picture below shows a box sliding down a ramp:

Mathematics

1 answer:

AURORKA [14]1 year ago

4 0

Answer: Option 2

Step-by-step explanation:

$\sin 65^{\circ}=\frac{12}{AC}\\\\AC=\frac{12}{\sin 65^{\circ}}\\\\\boxed{AC=12 \text{ cosec }65^{\circ}}$

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A cell phone company offers two different monthly text-messaging plans as shown in the table below. For what number of text mess

HACTEHA [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16

taurus [48]

Answer:

4(m+4)

Step-by-step explanation:

4m+16

Rewriting

4*m + 4*4

Factor out 4

4(m+4)

6 0

3 years ago

Factor the polynomial by its greatest common monomial factor.<br> 3b^5+15b^4−18b^7

Natasha2012 [34]

Answer:

Step-by-step explanation:

3b⁵ + 15b⁴ - 18b⁷ = 3b⁵ + [3*5*b⁴] - [6*3*b⁷]

=3b⁴*( b + 5 - 6b³)

3 0

2 years ago

There are s swimmers in the swimming club. The club bought 15 swimming caps to split among its members. Write an expression that

vivado [14]

Answer:

15/s

Step-by-step explanation:

15 caps ÷ s = 15/s caps per swimmer

6 0

3 years ago

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

3 years ago