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aksik [14]
3 years ago
5

Find the center, vertices, and foci of the ellipse with equation x^2/100+y^2/64 = 1.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0
X^2/a^2+y^2/b^2=1

a^2=100 a=10
b^2=64 b=8

c^2=a^2-b^2
c=6
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3 years ago
Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105 and a standard deviation sigma equa
kondor19780726 [428]

Answer:   0.6827

Step-by-step explanation:

Given : Mean IQ score : \mu=105

Standard deviation : \sigma=15

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z-score : z=\dfrac{x-\mu}{\sigma}

For x= 90

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For x= 120

z=\dfrac{120-105}{15}\approx1

By using the standard normal distribution table , we have

The p-value : P(90

P(z

Hence,  the probability that a randomly selected adult has an IQ between 90 and 120 =0.6827

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3 years ago
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A box of oatmeal must contain 16 oz. The machine that fills the oatmeal boxes is set so that, on the average, a box contains 16.
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Answer:

29. 15.87%

30.  4.75%

31. 0.62%

32. probability cannot be calculated (0%)

Step-by-step explanation:

We have that the formula of the normal distribution is:

z = (x - m) / sd

where x is the value we are going to evaluate, m is the mean and sd is the standard deviation

x = 16 and m = 16.5

when sd = 0.5

z = (16 - 16.5) /0.5

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when sd = 0.3

z = (16 - 16.5) /0.3

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Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%

when sd = 0.2

z = (16 - 16.5) /0.2

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Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%

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4 0
3 years ago
NEED HELP FAST<br> 30nPOINTS FOR BRAINLIEST<br><br><br> √5x + √6 = √9
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Now we square both sides


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5x = 15 - 6\sqrt{6}


x = \frac{15 - 6\sqrt{6}}{5}

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