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3 years ago

HELP PLEAASEEE QUICK

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

6 0

Answer:

see below

Step-by-step explanation:

{(x, y) : x≥2}∩{(x, y) : y≥2}

First {(x, y) : x≥2}

A solid line at x =2 and shaded to the right

(x, y) : y≥2

A solid line at y =2 and shaded above

∩ means intersection or where they overlap

The green area is where they over lap

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A 40-foot y’all monument sits on top of a hill. Eye is standing at a point on the hill and observes the top of the monument at a

aleksley [76]

Answer:

54.8 feet

Step-by-step explanation:

We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram below.

This can be found using the Law of Sines.

∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.

∠MPH is the difference in the angles of elevation, so is 28°.

The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...

PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)

Multiplying by MH, we can find the length of PH:

PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft

PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.

3 0

3 years ago

Confused on this one

jeka94

Answer:

2nd is the correct answer for your question

8 0

3 years ago

Read 2 more answers

Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 9 havi

QveST [7]

Answer: $(-0.48,\ -0.04)$

Step-by-step explanation:

The confidence interval for the difference of two population proportion is given by :-

$(p_1-p_2)\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

Given : The first sample consists of 20 people with 9 having a common attribute.

Here, $n_1=20$ , $p_1=\dfrac{9}{20}=0.45$

$n_2=2100$ , $p_1=\dfrac{1492 }{2100}\approx0.71$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

A 95% confidence interval for the difference of two population proportion will be :-

$(0.45-0.71)\pm z_{\alpha/2}\sqrt{\dfrac{0.45(1-0.45)}{20}+\dfrac{0.71(1-0.71)}{2100}}\\\\\approx -0.26\pm0.22\\\\=(-0.26-0.22,-0.26+0.22)\\\\=(-0.48,\ -0.04)$