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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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6(x-3)+10=(3x-4) NEED HELP ASAPP
fenix001 [56]

Answer:

=4/3 or 1 and 1/3

If it is not provided in the answer then put no solution.

Step-by-step explanation:

5 0
3 years ago
A recipe for snicker doodle cookies calls for 1 part cinnamon for every 3 parts sugars. How many tablespoons of cinnamon would y
Naya [18.7K]

Answer:

3 parts cinnamon.

Step-by-step explanation:

Let's use a ratio:

cinnamon : sugar

      1         :     3

      3        :     9

We would need 3 parts sugar for this recipe.

4 0
3 years ago
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Answer these for 22 points
qwelly [4]
7. Slope of AD = 4/16 = 1/4

8. ΔAEC = 3/12 = 1/4
.. ΔDFB = 2/8 = 1/4

9. The angles at E, G, and F are right angles. Lines CE and BF are parallel, so the alternate interior angles at B and C where the transversal AD crosses them are equal. The triangles of interest are similar by AA~.

10. See problem 7. The ratio is the same.

11. Hard to tell what rule they want you to state. Every axis-aligned right triangle with its hypotenuse on AD will have the same ratio of side lengths. (That's one of the features of the graph of a line. It has the same slope everywhere, measured over any distance.)
5 0
4 years ago
Help me please !! i need the answer
madam [21]

Answer:

PQ=22\\\\QR=7\\\\PR=29

Step-by-step explanation:

To find the value of y, you can create an equation where two parts of the line are equal to the whole line:

PQ+QR=PR

Substitute given values:

(8y+6)+(y+5)=(19y-9)

Solve for y. Simplify parentheses:

8y+6+y+5=19y-9

Combine like terms to simplify the equation:

8y+y+6+5=19y-9\\\\9y+11=19y-9

Get the variable on one side of the equation and the constants on the other. Add 9 to both sides:

9y+11+9=19y-9+9\\\\9y+20=19y

Subtract 9y from both sides:

9y-9y+20=19y-9y\\\\20=10y

Isolate the variable. Divide both sides by 10:

\frac{20}{10} =\frac{10y}{10} \\\\y=2

The value of y is 2. Insert this value into each line segment value and solve:

PQ=8(2)+6\\\\PQ=16+6\\\\PQ=22

QR=(2)+5\\\\QR=7

PR=19(2)-9\\\\PR=38-9\\\\PR=29

:Done

You can check by using:

PQ+QR=PR\\\\22+7=29

This statement is true, so the values are correct.

7 0
3 years ago
Why does an angle that is supplementary to an acute angle have to be obtuse
Zolol [24]

This is because the total needs to be equal to 180 degrees. Since obtuse angles are greater than 90 degrees, then it needs an acute angle (lower than 90 degrees) to supplement it to equal 180

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3 years ago
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