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vlada-n [284]
3 years ago
8

Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 80 and a standard deviation

of 9. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least four decimal places. (a) What proportion of the scores were above 93? (b) What proportion of the scores were below 64? (c) What is the probability that a randomly chosen score is between 72 and 90?
Mathematics
1 answer:
eimsori [14]3 years ago
4 0

Answer:

(a) 0.075

(b) 0.038

(c) 0.677

Step-by-step explanation:

(a) P(Z > 93) = P(Z > \frac{93-80}{9} =1.44)

= 0.075

(b) P(Z < 64) = P(Z < \frac{64-80}{9} =1.78)

= 0.038

(c) P( 72 < Z < 90) = P( -0.89 < Z < 1.11)

⇒ P(1.11 ) - P(-0.89) = 0.677

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Find a number that is 96 greater than its opposite
ASHA 777 [7]

Hey there!

To find the opposite of a number, you switch its sign, and to do so, you would multiply by -1. This gives us the equation below.

n=-n+96

To find our number, we need to isolate all of our n's on one side of the equation. Let's try adding n to both sides.

2n=96

We divide both sides by 2.

n=48

As you can see, the opposite of 48 is -48, and 48 is 96 more than -48.

Therefore, our number is 48.

I hope this helps!

6 0
3 years ago
For each of the following sequences, state rule and write down the next two terms
AysviL [449]

Answer:

9, 13, 22, 38, <u>63</u>, <u>99</u>

Step-by-step explanation:

13 = 9 + 2²

22 = 13 + 3²

38 = 22 + 4²

38 + 5² = 38 + 25 = 63

63 + 6² = 63 + 36 = 99

8 0
3 years ago
Kayla squared a number x and added this result to -6.5. This gave her an answer of 42.5.
ladessa [460]

Answer:

7, -7

Step-by-step explanation:

x^2-6.5= 42.5 add 6.5 to both sides

x^2= 49

The square root of 49 is 7 and -7.

7 0
3 years ago
Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental
Nezavi [6.7K]

Answer:

she will pay $19 for each day

Step-by-step explanation:

94-18=76

76÷4=19

6 0
3 years ago
1-2+3-4+5-6+..+99-100.
aliya0001 [1]
-50

So you want to pair them up
(1-2)+(3-4)+(5-6)..+(99-100)
And write the answer for each pair
(-1)+(-1)+(-1)..+(-1)
When looking at this you can see that each pair equals -1
So you divide 100 by 2 and multiply that by the -1
100/2=50
50*-1=-50
Answer is 50


You would use the same method if you were going up to a number like a 500
The answer would be -250
6 0
4 years ago
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