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Nezavi [6.7K]
3 years ago
6

Which of the following could not be a value of n? side lengths of 9 and 13

Mathematics
1 answer:
daser333 [38]3 years ago
8 0
The correct answer here would be D. And that is because, in a triangle, the sum of 2 of the sides has to be greater than the third side for all sides.  If we add 22 and 13 we get 35, and 35 is greater than 9, for sure. But if we add 13 and 9 we get 22 which is not greater than the third side length of 22; it would be collinear with the side length and it has to be greater than the side length.
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A cylindrical container has a radius of 0.3 meter and a height of 0.75 meter. The container is filled with kerosene. The density
saveliy_v [14]

Answer:

172.83 kg

Step-by-step explanation:

A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.

The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:

Density = Mass / volume

The volume of a cylinder is given as:

V = πr²h

V = π × (0.3)² × 0.75 = 0.212 m³

Density = Mass/ volume

Mass = Density × Volume

Mass = 815 kg/m³ × 0.212 m³

Mass = 172.83 kg

6 0
3 years ago
Write the function in function notation. <br> y=7b+8
sesenic [268]
F(b)=7b+8
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3 0
3 years ago
3(x+5)=-4x+8. How many solutions
nirvana33 [79]

Step-by-step explanation:

3(x + 5) = 4x + 8 \\ 3x + 15 = 4x + 8 \\ 15 - 8 = 4x - 3x \\ x = 7

6 0
3 years ago
In a random sample of 45 newborn babies, what is the probability that 40% or fewer of the sample are boys. (Use 3 decimal places
erastova [34]

Answer:

z= \frac{p- \mu_p}{\sigma_p}

And the z score for 0.4 is

z = \frac{0.4-0.4}{\sigma_p} = 0

And then the probability desired would be:

P(p

Step-by-step explanation:

The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:

np = 45*0.4= 18 >10

n(1-p) = 45*0.6= 27 >10

For this case we can assume that the population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Where:

\mu_{p}= \hat p = 0.4

\sigma_p = \sqrt{\frac{p(1-p)}(n} =\sqrt{\frac{0.4(1-0.4)}(45}= 0.0703

And we want to find this probability:

P(p

And we can use the z score formula given by:

z= \frac{p- \mu_p}{\sigma_p}

And the z score for 0.4 is

z = \frac{0.4-0.4}{\sigma_p} = 0

And then the probability desired would be:

P(p

7 0
3 years ago
Read 2 more answers
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5 0
3 years ago
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