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3 years ago

Find the zeros in the function 3x2+ 6 = 0

Mathematics

1 answer:

sattari [20]3 years ago

5 0

Answer:

x = ± i $\sqrt{2}$

Step-by-step explanation:

Given

3x² + 6 = 0 ( subtract 6 from both sides )

3x² = - 6 ( divide both sides by 3 )

x² = - 2 ( take the square root of both sides )

x = ± $\sqrt{-2}$

= ± $\sqrt{2(-1)}$

= ± ( $\sqrt{2}$ × $\sqrt{-1}$ ) → $\sqrt{-1}$ = i

= ± i $\sqrt{2}$

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A 120° sector of a circle has an area of 67 cm². To the nearest centimeter what is the diameter of the circle?

qaws [65]

Answer:

degree = 120°

A =67 cm²

d=?

note : diameter= 2×radius

area of a circle = πr²

67=22/7 ×r²

67×7=22r²

469=22r²

r²=469/22

r²=21.32

r=4.62

diameter=2 × radius

d= 2× 4.62

d=9.24

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I hope it helps :)

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3 years ago

What is the area of the figure abcd

expeople1 [14]

Answer:

66 square inches

Step-by-step explanation:

The area of the figure can be found by adding the area of the rectangle and the triangle together.

The area of a rectangle is found A = l*w. Here l = 10 and w = 6. So the area of the rectangle is 10*6 = 60.

The area of a triangle is found A = 1/2 b*h. Here b = 2 from 12-10 = 2 and h = 6. So the area of the triangle is 1/2 * 2* 6 = 6.

The area together is 60 + 6 = 66 square inches.

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3 years ago

PLEASE HELP EASY MATH!!!!

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3 years ago

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The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level tha

docker41 [41]

Answer:

The p-value of the test statistic is 0.2019.

Step-by-step explanation:

Test if there is evidence at the 0.02 level that the medicine relieves pain in more than 384 seconds.

At the null hypothesis, we test if it relieves pain in at most 384 seconds, that is:

$H_0: \mu \leq 384$

At the alternative hypothesis, we test if it relieves pain in more than 384 seconds, that is:

$H_1: \mu > 384$

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.

384 is tested at the null hypothesis:

This means that $\mu = 384$

For a sample of 41 patients, the mean time in which the medicine relieved pain was 387 seconds. Assume the population standard deviation is 23.

This means that $n = 41, X = 387, \sigma = 23$

Value of the test statistic:

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

$z = \frac{387 - 384}{\frac{23}{\sqrt{41}}}$

$z = 0.835$

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 387, which is 1 subtracted by the p-value of z = 0.835.

Looking at the z-table, z = 0.835 has a p-value of 0.7981.

1 - 0.7981 = 0.2019

The p-value of the test statistic is 0.2019.

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