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Kisachek [45]
2 years ago
7

Help please thank u!! ​

Mathematics
1 answer:
gtnhenbr [62]2 years ago
7 0

Answer:

E={1,2,3}

Step-by-step explanation:

First one is the correct answer

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If a rectangle is 2 meters more than its width, and the area of it is 80 square meters, what is the length and width?
bezimeni [28]
Ok I think it means that the length l of the rectangle is 2 m more than is width w...
The area is A=l*w=(w+2)*w=80
so: w^{2} +2w-80=0
Solving this equation (using the quadratic formula) you get 2 solutons. The only acceptable is the positive one, i.e. w=8 m, the length will then be l=w+2=8+2=10m.
6 0
3 years ago
Find the measure of the exterior angle in the following triangle DUE SOON I’LL GIVE BRAINLIEST
anastassius [24]

Answer:

A. 125

Step-by-step explanation:

the sum of the remote angles is equal to the exterior angle

90+35=125

7 0
3 years ago
Read 2 more answers
How many solutions does the following equation have? ln(x2 + 4x − 5) = 0
lisov135 [29]
Alrighty
remember
log_a(b)=c means a^c=b
and
ln(x)=log_e(x)
and
x^0=1 for all real values of x
so

ln(x^2+4x-5)=0 means
log_e(x^2+4x-5)=0 means
e^0=x^2+4x-5 which simplifies to
1=x²+4x-5
minus 1 both sides
0=x²+4x-6
use quadratic formula or complete the square
x=-2+\sqrt{10} and x=-2-\sqrt{10}
2 solutions
7 0
3 years ago
The claim that 40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable j
Bad White [126]

Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

H_0: p \geq 0.4

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

H_1: p < 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \mu = 0.4, \sigma = \sqrt{0.4*0.6}

74 out of the 200 workers sampled said they would return to work

This means that n = 200, X = \frac{74}{200} = 0.37

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.37 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = -0.87

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.

Looking at the z-table, z = -0.87 has a p-value of 0.1922.

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

7 0
2 years ago
8 ft<br> Find the area of the figure.
lina2011 [118]

Answer:

Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.

5 0
2 years ago
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