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Oksana_A [137]
4 years ago
5

A) 67° B) 98° C) 80° D) 69°

Mathematics
2 answers:
pogonyaev4 years ago
7 0

Answer:

C) 80°

Step-by-step explanation:

By exterior angle theorem

? = 113° - 33°

? = 80°

zavuch27 [327]4 years ago
5 0

Answer:

c

Step-by-step explanation:

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A population of values has a normal distribution with μ = 247 and σ = 62.2. You intend to draw a random sample of size n = 16. (
nadya68 [22]

Answer:

a) z = \frac{295.2-247}{62.2}=0.772

And using the normal distribution table or excel we got:

P(Z>0.772) = 1-P(Z

b) z = \frac{295.5 -247}{\frac{62.2}{\sqrt{16}}}= 3.119

And we can use the normal standard table or excel in order to find the probability and we got:

P(z>3.119) =1-P(Z

Step-by-step explanation:

For this case we know that the random variable of interest is normally distributed with the following parameters:

X \sim N (\mu = 247, \sigma =62.2)

Part a

We want to find this probability:

P(X>295.2)

And we can use the z score formula given by:

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

Replacing we got:

z = \frac{295.2-247}{62.2}=0.772

And using the normal distribution table or excel we got:

P(Z>0.772) = 1-P(Z

Part b

We select a random sample of size n = 16 and we try to find this probability:

P(\bar X >295.2)

And we can use the z score formula given by:

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

And replacing we got:

z = \frac{295.5 -247}{\frac{62.2}{\sqrt{16}}}= 3.119

And we can use the normal standard table or excel in order to find the probability and we got:

P(z>3.119) =1-P(Z

8 0
3 years ago
Missing numerator of x over 4 times 8 equals 2
Crazy boy [7]

Answer:

Step-by-step explanation:

If the equation of the of the hyperbola is , then the eccentricity,  and the directrices are  and the foci are (± ae,0).

Now, given that ae = 4 and  ......... (1)

So,

⇒ a² = 8

⇒ a = 2√2 units.

Now, from equation (1) we get, ae = 4

⇒ e = √2 as a = 2√2

Now,

⇒

⇒ b² = 8

Hence, the equation of the hyperbola is

Read more on Brainly.com - brainly.com/question/14434001#readmore

5 0
3 years ago
Please help me Asap thanks if you do!
andrezito [222]

Answer:

(A) 9

Step-by-step explanation:

Substitute 2 for X

7-(-2)=9

7 0
2 years ago
Please help I need some one to answer this for me
sweet [91]
The last option is the correct option.
You basically just have to solve for e.
so multiply each side by 4 first.
that makes it 3e < 96
to get e by itself divide each side by 3.
which you e < 32
6 0
3 years ago
2. What is the equation for slope-intercept form of a linear equation? 8x=26+14y ​
posledela

Answer:

y=mx+b to find m or the slope, m=the change in y DIVIDED by the change in x or the rise DIVIDED by the run

Step-by-step explanation:

7 0
3 years ago
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