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bonufazy [111]
3 years ago
7

The grades of a statistics midterm are normally distributed with a mean of 70 and a standard deviation of 2. Without using a cal

culator, what is the probability that a student will receive a grade between 74 and 76? 4.30% 2.15% 34.12% 13.6%
Mathematics
1 answer:
butalik [34]3 years ago
5 0

Answer:

.13.5%

Step-by-step explanation:

The probability that a student will receive a grade between 74 and 76 is calculated as follows:

µ+2σ=70+2(2)=70+4=74

µ+3σ=70+3(2)=70+6=76

From the above empirical rule it can be observed that 13.5% of observations fall in between 1 and 2 standard deviations above the mean.

Therefore, the probability that a student will receive a grade between 74 and 76 is 13.5%.

Thus, the correct options is A.13.5%.

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Bad White [126]

Answer:

chocolate chips are $2.00 per pound.

nd walnuts must be $3.50 per pound.

Step-by-step explanation:

Let x be the price of walnuts and y the price of chocolate chips.

2x + 5y = 17 (i)

8x + 3y = 34 (ii)

Multiply (i) by 4 to get

8x + 20y = 68

Subtract (ii) to get

 17y = 34

Dividing by 17, we see that chocolate chips are $2.00 per pound.

Substituting y=2 in (i) or (ii), walnuts must be $3.50 per pound.

4 0
3 years ago
7. Solve the equations by thinking logically.
MA_775_DIABLO [31]

Answer:

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4 0
3 years ago
Please answer this I'm confused with it
lianna [129]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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Find an equation of the circle whose diameter has endpoints (1,-4) and (-3,6).
MAVERICK [17]

Answer:

(x+1)^2+(y-1)^2=58

Step-by-step explanation:

To find the equation of this circle, we must know the center and the radius.

We can find the radius by dividing the value of the distance formula by 2 (since r=\frac{d}{2}):

d=\sqrt{(-3-1)^2+(6-(-4))^2}=\sqrt{116}\\r=d/2=\frac{\sqrt{116}}{2}

We can then find the center of the circle by averaging the coordinates:

\frac{1+(-3)}{2}=-1

\frac{-4+6}{2}=1

Then, we substitute these values into the equation of a circle:

(x-(-1))^2+(y-1)^2=(\frac{\sqrt{116}}{2})^2\\(x+1)^2+(y-1)^2=58

3 0
4 years ago
Find the measurement of angle A
Orlov [11]

Answer:

The value of A is 20

Step-by-step explanation:

To find the answer, note that all triangles have a interior degree measurement of 180. Set the sum of the angles equal to 180.

71x - 1 + 20x + 90 = 180

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x = 1

Now we can use this in the A angle to find the value.

A = 20x

A = 20(1)

A = 20

5 0
4 years ago
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