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stiks02 [169]
2 years ago
5

Steve earned a 96% on his first math test, a 74% on his second test, and a 85% on his third test. What is his test average?

Mathematics
1 answer:
masya89 [10]2 years ago
6 0

Answer:

The average is 85%

Step-by-step explanation:

To find the average, we add up all the numbers.  Then we divide by the number of numbers

Average = (96+74+85) / 3

                 = 255/3

                 =85

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Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course.
sertanlavr [38]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean  Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =  

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean  2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to  of the values.

Therefore, Scores between 72 and 90 =  

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =  

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
. 4/18 times 2/92. 1/9 times 3/63. 12/14 times 1/84.1/7 times 5/65. 17/20 times 1/61. 4 1/4 times 3 1/22. 3 5/6 times 4 1/23. 2
AlladinOne [14]

Answer:

Step-by-step explanation:

4/18×2/92

=1/9×1/23

=1/207

1/9×3/63

=1/3×1/23

=1/69

12/14×1/84

=1/14×1/7

=1/98

1/7×5/65

=1/7×1/13

=1/91

17/20×1/61

=17/1220

4 1/4 ×3 1/22

=17/4×67/22

=1,139/88

=12 83/88

3 5/6×4 1/23

=23/6×93/23

=93/6

=15 3/6

=15 1/2

2 1/2×4 7/84

=5/2×343/84

=1715/168

=10 35/168

I have answered more than 2 from each set

6 0
3 years ago
Jean closet is having a 15% off storewide sale. You want to buy a pair of jeans originally marked $32.99. What is the sale price
Oliga [24]

Answer:

Discount= $4.94

Final Price= $28.04

Step-by-step explanation:

Discount = original price x discount / 100

Discount= 32.99 x 15/ 100

Discount= 494.85/ 100

You save= $4.9485 ($494)


Final Price= original price - discount

Final Price= 32.99 - 4.9485

Final Price= $28.04

6 0
3 years ago
Help me please and thank you
Scorpion4ik [409]

Answer:

x = 20

y = 10

m∡8 = 110°

Step-by-step explanation:

m∡1 + m∡2 = 180

5x + y + 3x + y = 180

8x + 2y = 180

m∡1 = m∡8    (they are alternate-exterior angles and are congruent)

5x + y = 3x + 5y

2x = 4y

x = 2y

Substitute '2y' for 'x' in 8x + 2y = 180

8(2y) + 2y = 180

18y = 180

y = 10

x = 2(10)

x = 20

m∡8 = 3(20) + 5(10) = 110°

8 0
2 years ago
Please answer -24x + 16y
Alex787 [66]

Answer:

-8(3x-2y)

Step-by-step explanation:

Factor out each number because 8 times 3 equals 24

And -2 times -8 is 16

3 0
3 years ago
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