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gtnhenbr [62]
2 years ago
12

The final scores of students in a graduate course are distributed normally with a mean of 72 and a standard deviation of 5. What

is the probability that a student's score will be between 65 and 78?
Mathematics
1 answer:
Tcecarenko [31]2 years ago
8 0

Answer:

0.8041

Step-by-step explanation:

We know that  

μ=72  and  σ=5

and P(65<X<78)

We can determine the Z value as (X-μ)/σ

P( 65<X<78 )=P( 65-72< X-μ<78-72)

P((65-72)/5

P(65

To fine the Z values:

P (-1.4

From the standard normal tables:

P (Z

to find P ( Z<-1.4)

P ( Z

From the standard normal tables:

P ( Z

Therefore

P(-1.4

P (65

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Determine the number of solutions to the following system of equations. y=-3x^2-4x+7 and 3x+2y=18
siniylev [52]

Answer:

Step-by-step explanation:

y=-3x²-4x+7...(*)

3x+2y=18...(**)

use (*) put the value of y in (**) :

3x +2(-3x²-4x+7)=18

3x-6x²-8x +14 -18 = 0

-6x²-5x- 4 = 0

6x²+5x+4 = 0

delta = b² - 4ac     a = 6   b=5    c =4

delta = 5² - 4(6)(4)= 25 -96= -71 negatif

so no reals solution

5 0
2 years ago
How can exponential and logarithmic functions be combined?
OLEGan [10]
It really depends on the question and what you want to solve. An exponential function can be written as y = x^2 and if you are solving for y then it will be log(base x) y = 2.

More Examples:
3x = 15
(log both sides with base of 3)
log(3)3x = log(3)15
since log(3)3 = 1 then,
(1)x = log(3)15
x = log 15 / log 3
= 2.465
4 0
3 years ago
Which expression is equal to “seven more than a number multiplied by 9"?
ipn [44]

Answer:

b

Step-by-step explanation:

a: is not because in the distribution property, the answer would be for a, 9x+63.

b: yes.

c: it's subtracting, not adding. The question states adding

d: 7 is not the one being multiplied in the question, 9 is. Therefore b is right

The explaining is not good but im pretty sure it's b..

7 0
2 years ago
Which expression has the largest value each has 9/16 as the factor
pogonyaev

Answer:

1 2/3 x 9/16

Step-by-step explanation:

7 0
2 years ago
A Chevy Malibu has a fuel capacity of 18.5 gallons. This vehicle averages 666 miles per tank. Assume the relationship between fu
Nuetrik [128]

Answer:

180 miles

Step-by-step explanation:

Step one:

capacity of tank= 18.5gallons

vehicle averages 666 miles per tank.

Hence, the vehicle can travel 666 miles on 18.5 gallons

Required

The distance covered on 5 gallons

Step two:

vehicle can travel 666 miles on 18.5 gallons

the vehicle will go x miles on 5 gallons

cross multiply we have

5*666= 18.5*x

3330=18.5x

divide both sides by 18.5

x= 3330/18.5

x=180 miles

5 0
3 years ago
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