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stiv31 [10]
3 years ago
15

Assume that blood pressure readings are normally distributed with a mean of 120 and a standard deviation of 8. If 100 people are

randomly selected, find the probability that their mean blood pressure will be greater than 122.
Mathematics
1 answer:
Yanka [14]3 years ago
8 0

Answer:

0.0062

Step-by-step explanation:

Let X be the random variable blood pressure.The information we are given are

mean blood pressure=μx=120

standard deviation blood pressure=σx=8

we have to find P(mean bp>122)=P(xbar>122).

P(Xbar>122)=P(xbar-μxbar/σxbar>122-μxbar/σxbar)=P(Z>122-μxbar/σxbar)

Now, we have to find μxbar and σxbar. We know that

μxbar=μx

σxbar=σx/sqrt(n).

So, μxbar=μx=120

σxbar=σx/sqrt(n)=8/sqrt(100)=0.8

P(Xbar>122)=P(Z>122-120/0.8)=P(Z>2.5)=P(0<z<∞)-P(0<z<2.5)

From normal distribution table P(0<z<2.5)=0.4938 and we know that P(0<z<∞)=0.5. So,

P(Xbar>122)=0.5-0.4938=0.0062

There is 0.62% chance that the mean blood pressure of 100 people will be greater than 122

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is Al Gore a circumscribed about six times the measure of angle is 180 degrees

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In which of the expressions below will x = 2.5? Select all that apply. A) 10x+209=5 B) 10x–12=38 C) 9x+18=45 D) 6x=15 E) 12x–4=2
Vinil7 [7]

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Step-by-step explanation:

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2 years ago
What is the slope of 1.5x+4.5y=18
melomori [17]

Answer:

The x intercept is (12,0)

Step-by-step explanation:

1.5x+4.5y=18  Subtract 1.5 x from both sides of the equation

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4.5y/4.5=-1.5x/4.5+18/4.5

y=-1/3x+4

The slope is -1/3

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To find the x intercept, yet y=0 and solve.

1.5x+4.5y=18

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5 0
3 years ago
Read 2 more answers
I need help on this aswell
Katena32 [7]

Answer:

Graph C

Step-by-step explanation:

Hi there!

The given linear equations are organized in slope-intercept form: y=mx+b where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept, or the value of y when the line crosses the y-axis.

y = 2x + 4

Here, the <em>b</em> value is 4. Therefore, the y-intercept of this line is 4.

y = -3x - 2

Here, the <em>b</em> value is -2. Therefore, the y-intercept of this line is -2.

To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.

The only graph that does this is graph C.

I hope this helps!

8 0
2 years ago
In order to solve the system of linear equations, the coefficients of one of the variables must be the same number but opposite
Mashutka [201]

Answer:

Step-by-step explanation:

because both equations do not have matching numbers for the x or y variable, and both equations are positive you are going to have to multiply each equation by a number  so that there will be at least one variable with the same number but with opposite signs.

it does not matter which variable you choose.

lets use y because 2 and 3 are smaller then 2 and 5.

so lets multiply the first equation by 2 in order to get y equal to 6.

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(do not forget to multiply what the equation is equal to also)

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now lets put the 2 new equations next to each other and see what we can cancel out

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2(0)+3y=6

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y=2

so your answer is x=0, y=2

8 0
3 years ago
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