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shusha [124]
3 years ago
8

Find the value of x such that the data set 31.7, 42.8, 26.4, and x has a mean of 35.

Mathematics
1 answer:
Travka [436]3 years ago
5 0

Answer:

x = 39.1

Step-by-step explanation:

To find the mean, add up all the data points and then divide by the number of data points

(31.7+ 42.8+ 26.4+ x)/4 = 35

Multiply each side by 4

(31.7+ 42.8+ 26.4+ x)/4*4 = 35*4

(31.7+ 42.8+ 26.4+ x) = 140

Combine like terms

100.9+x = 140

Subtract 100.9 from each side

x = 140-100.9

x = 39.1

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2 years ago
Below is a probability distribution for the number of failures in an elementary statistics course. X 0 1 2 3 4 P(X=x) 0.41 0.18
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Answer:

a) P(X=2)= 0.29

b) P(X<2)= 0.59

c) P(X≤2)= 0.88

d) P(X>2)= 0.12

e) P(X=1 or X=4)= 0.24

f) P(1≤X≤4)= 0.59

Step-by-step explanation:

a) P(X=2)= 1 - P(X=0) - P(X=1) - P(X=3) - P(X=4)= 1-0.41-0.18-0.06-0.06= 0.29

b) P(X<2)= P(X=0) + P(X=1)= 0.41 + 0.18 = 0.59

c) P(X≤2)= P(X=0) + P(X=1) + P(X=2)=0.41+0.18+0.29= 0.88

d) P(X>2)=P(X=3) + P(X=4)=0.06+0.06= 0.12

e) P(X=1 or X=4)=P(X=1 ∪ X=4) = P(X=1) + P(X=4)=0.18+0.06= 0.24

f) P(1≤X≤4)=P(X=1) + P(X=2) + P(X=3) + P(X=4)=0.18+0.29+0.06+0.06= 0.59

3 0
3 years ago
Read 2 more answers
Hi can you help me please?)
Ad libitum [116K]

<em>To solve for a variable, you just need to isolate the variable to one side.</em>

<h3>7.</h3>

For this, just divide both sides by r and <u>your answer will be \frac{d}{r}=t</u>

<h3>8.</h3>

For this, divide both sides by nR and <u>your answer will be \frac{PV}{nR}=T</u>

<h3>9.</h3>

Firstly, multiply both sides by T: AT=FV-OV

Next, subtract FV on both sides of the equation: AT-FV=-OV

Lastly, multiply both sides by -1, and <u>your answer will be -AT+FV=OV</u>

<h3>10.</h3>

Firstly, multiply both sides by 1000: 1000C=Wtc

Lastly, divide both sides by tc and <u>your answer will be \frac{1000C}{tc}=W</u>

8 0
3 years ago
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