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3 years ago

Examine triangle ABC. What is the value of x? 37 48 127 138

Mathematics

1 answer:

Flura [38]3 years ago

4 0

The outside angle of B needs to equal 180 - 79 = 101 degrees.

The 3 outside angles of a triangle need to equal 360 degrees.

Set up the equation with what we know:

X + (x+5) + 101 = 360

Simplify:

2x + 106 = 360

Subtract 106 from both sides:

2x = 254

Divide both sides by 2:

x = 254 / 2

x = 127

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Square root of 320 rounded to the nearest tenth

Inessa [10]

Answer: 17.9

Step-by-step explanation:

4 0

3 years ago

A group of researchers wants to know whether men are more likely than women to contract a novel coronavirus. They surveyed two r

olasank [31]

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

<em>Step(I)</em>:-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

$p_{1} = \frac{360}{390} = 0.9230$

second sample proportion

$p_{2} = \frac{47}{52} = 0.9038$

Step(ii):-

Null hypothesis : H₀ : There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

$Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }$

where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }$

P = 0.920

$Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}$

Test statistic Z = 0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

7 0

3 years ago

For the number -5/8 name the opposite, reciprocal and absolute value

Natasha_Volkova [10]

Opposite- 5/8
reciprocal- -8/5
absolute value- 5/8

8 0

3 years ago

1. A hotel is in the shape of a cylinder, with a circular foundation. The circumference of the foundation is 2 times the radiu

AysviL [449]

2)The circumference or perimeter of a circle with radius $r$ is

$P=2\pi r$ . Given $P=28\pi$ . Therefore,

$2\pi r =28\pi \\ r=14\\ d=2r=28\\ A=\pi r^2 \\ A=\pi (14)^2\\ A=[tex] 196\pi$

Thus the radius is $14\;ft$ , diameter $28\;ft$ and area $196\pi \;ft^2$

7 0

3 years ago

What is the value of x in a 45-45-90 triangle and the hypotenuse is 4?

Temka [501]

9514 1404 393

Answer:

x = 2√2 ≈ 2.83

Step-by-step explanation:

The side length of an isosceles right triangle is 1/√2 times the hypotenuse length. If x is the side length, then ...

x = 4/√2 = 4(√2)/2

x = 2√2 ≈ 2.83

You have not specified the form of the answer. Sometimes an exact answer (2√2) is required. Sometimes the answer is required to be rounded to tenths or hundredths.

3 0

3 years ago