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d1i1m1o1n [39]
1 year ago
10

Suppose 2' is a normally distributed random variable with ft = 10.3 and 0 = 3.8. For the following probability,draw an appropria

te diagram, shade the appropriate region and then determine the value:P(9 <2 ≤ 14) = Note: Enter your answer up to 4 decimal places.

Mathematics
1 answer:
TiliK225 [7]1 year ago
8 0

GIVEN

The following values are given:

\begin{gathered} \mu=10.3 \\ \sigma=3.8 \end{gathered}

SOLUTION

The z-score for the x values 9 and 14 can be calculated using the formula:

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

For x = 9:

\begin{gathered} z=\frac{9-10.3}{3.8} \\ z=-0.34 \end{gathered}

For x = 14:

\begin{gathered} z=\frac{14-10.3}{3.8} \\ z=0.97 \end{gathered}

The probability can be calculated as follows:

P(9\le x\le14)=Pr(-0.34The region that represents the solution is shown below:Therefore, the probability is given to be:[tex]P(9\le x\le14)=0.4671

The probability is 0.4671.

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oksano4ka [1.4K]
So basically you just need to do the Pythagorean theorem to find the sides of the shaded rectangle, with c being the length of the side.

Small side:
2^2 + 6^2 = c^2
4 + 36 = c^2
40 = c^2
C is similar to 6.32456

Long side:
12^2 + 4^2 = c^2
144 + 16 = c^2
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C is similar to 12.64911

And then you just multiply!

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3 years ago
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The sum of 14 and Greg's saving is 72
AlexFokin [52]
Hope this helps you..!!

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3 years ago
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Help me with this one. I’m stuck with it since an hour and a bit more.
irina [24]

Answer:

1) 5 : 7 : 8.75

2) Happy = 168 .    Juma = 210

3) Rima = 17800 .     Happy = 24920 .    Juma = 31150

Step-by-step explanation:

1) 5 : 7 : 8.75

Ratio Rima to Happy = 5:7

Ratio Happy to Juma = 4:5

7/4 = 1.75

1.75 x 5 = 8.75

Ratio = 5 : 7 : 8.75

2) Happy = 168 .     Juma = 210

Ratio = 5 : 7 : 8.5

120 / 5 = 24

Happy = 24 x 7 = 168

Juma = 24 x 8.75 = 210

3)17800 : 24920 : 31150

5 + 7 + 8.75 = 20.75

73870 / 20.75 = 3560

3560 * 5 = 17800 = Rima

3560 * 7 = 24920 = Happy

3560 * 8.75 = 31150 = Juma

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

6 0
3 years ago
Which of the following data sets represents a positive correlation?
Papessa [141]
The answer would be B, because it has a general upward slope

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3 years ago
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What is the length of the line?
Radda [10]

Answer:

x=\sqrt{169}

x=13

Step-by-step explanation:

12*12+5*5=x*x

x*x=169

x=\sqrt{169}

x=13

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2 years ago
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