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KatRina [158]
3 years ago
9

ACT mathematics score for a particular year are normally distributed with a mean of 28 and a standard deviation of 2.4 points

Mathematics
1 answer:
kompoz [17]3 years ago
3 0

Answer:

a.   0.1587

b.  0.8849

c.  0.1814

Step-by-step explanation:

a. Given that \mu=28, \ \ \sigma=2.4

-The probability a randomly selected score is greater than 30.4 is calculated as:

P(X>30.4)=1-P(X30.4)=1-P(z

Hence, the probability of a score greater than 30.4 is 0.1587

b. Given that \mu=28, \ \ \ \sigma=2.4

The probability a randomly selected score is less than 32.8 is calculated as:

P(X

Hence, the probability that a randomly selected score is less than 32.8 is 0.8849

c. The probability that a score is between 25.6 and 32.8 is calculated as follows:

P(25.6

Hence, the probability is 0.1814

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Factor each.<br><br><br> Please help!
Naddika [18.5K]

Answer:

1) The factors of  x^2-3x+2=0 are \mathbf{(x-1)(x-2)=0}

Option C is correct.

3) The factors of  x^2+2x-8=0 are \mathbf{(x-2)(x+4)=0}

Option B is correct.

Step-by-step explanation:

1) Factor : x^2-3x+2=0

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : -3x

We can break them as (-2x)( -x)

Solving:

x^2-3x+2=0\\x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0

So, factors of  x^2-3x+2=0 are \mathbf{(x-1)(x-2)=0}

Option C is correct.

3) Factor: x^2+2x-8=0

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : 2x

We can break them as (4x)( -2x)

Solving

x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x-2)(x+4)=0

So, factors of  x^2+2x-8=0 are \mathbf{(x-2)(x+4)=0}

Option B is correct.

7 0
2 years ago
How do you simplify the radical expression, 24- sqrt(720 over 4
baherus [9]

24- sqrt(720/4) divide 720 by 4

24 - sqrt (180) now break down 180 to 9*4*5

24- sqrt(9) *sqrt(4) *sqrt (5)  so 9becomes 3, 4 becomes 2

24- 3*2*sqrt(5) multiply 3 and 2

24-6sqrt(5)

7 0
3 years ago
What is the surface area of a cylindrical ring where the diameter of the cross section is 6.3 in and the center line has a lengt
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The surface area of the cylindrical ring is given by
πdh
where d is the diameter and h is the height:
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The answer is C. 950.02 in^2
4 0
3 years ago
Read 2 more answers
A coin is tossed 7 times. What is the probability that the number of heads obtained will be between 2 and 7 inclusive? Express y
Marina CMI [18]

Answer:

0.9375

Step-by-step explanation:

Given the following :

Number of coin tosses = 7

Probability that number of heads obtained will be between 2 and 7 inclusive?

x = 2,3,4,5,6,7

Probability (P) = number of required outcomes / total possible outcomes

For a coin toss = 1 Head (H), 1 tail (T)

P(H) = 1 / 2

P(X) = C(7,x) * (1/2)^7

P(X) = C(7, x) / 0.5^-7

P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128

P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128

P(X) = 120 / 128

P(X) = 0.9375

5 0
3 years ago
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r-ruslan [8.4K]
The answer would probably be 18 degrees below normal because the absolute values of the rest are 8 not 18 which is the absolute value of 18 degrees below normal.
6 0
3 years ago
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