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Katyanochek1 [597]
3 years ago
12

Y = x^2 - 8x + 15 line of symmetry

Mathematics
1 answer:
lyudmila [28]3 years ago
8 0
If you are solving for y, your answer is -1.
First, x=4 so plug in the 4 in every into every x.
Second, 4^2 is 16. 8(4) is 32.
Third, 16 - 32 + 15= -1
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A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. ​(a) Describe the
Ivanshal [37]

Answer:

a) \bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})

With:

\mu_{\bar X}= 83

\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3

b) z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2

P(Z>2) = 1-P(Z

c) z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45

P(Z

d) z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1

z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2

P(-1.2

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

\mu = 83, \sigma = 27

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})

With:

\mu_{\bar X}= 83

\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3

Part b

We want this probability:

P(\bar X>89)

We can use the z score formula given by:

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

And if we find the z score for 89 we got:

z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2

P(Z>2) = 1-P(Z

Part c

P(\bar X

We can use the z score formula given by:

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

And if we find the z score for 75.65 we got:

z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45

P(Z

Part d

We want this probability:

P(79.4 < \bar X < 89.3)

We find the z scores:

z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1

z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2

P(-1.2

8 0
3 years ago
Please help matimatik 10 points
Liono4ka [1.6K]

Answer:

0.03

Step-by-step explanation:

Hope I helped

-Hunter Cross

Please mark Brainliest if Correct

6 0
2 years ago
A pizza shop offers 4 different pizza sizes 6 different meat choices and 8 different veggie toppings how many choices are possib
Juliette [100K]
4*6*8=192
So they can have 192 choices for the pizza
3 0
3 years ago
Please Help! I have provided the screen shot
Alex_Xolod [135]
(3,-4)
is your answer
7 0
2 years ago
Help?????? Does anyone know the answer to this
Rama09 [41]
I think it’s B, or 0.10x+0.15(50-x)=0.12(50)

Because 10% would give you 30ml, and 15% would equal 20ml to get 50ml, according to the equation.
5 0
2 years ago
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