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notsponge [240]
2 years ago
12

The SAT is standardized to be normally distributed with a mean µ = 500 and a standard deviation σ = 100. What percentage of SAT

scores falls:_____.
a. Between 500 and 600? the answer says 34.13% <<< how do you get to that???
b. Between 400 and 600?
Mathematics
1 answer:
Aliun [14]2 years ago
8 0

Answer:

34.134%

68.268%

Step-by-step explanation:

Given that:

Mean (m) = 500

Standard deviation (s) = 100

Percentage between 500 and 600

P(500 < x < 600)

P(x < 600) - P(x < 500)

Z = (x - m) / s

P(x < 600)

Z = (600 - 500) /100 = 1

P(x < 500)

Z = (500 - 500) / 500 = 0

P(Z< 1) - P(Z < 0)

0.84134 - 0.5

= 0.34134

= 0.34134 * 100%

= 34.134%

B.) Between 400 and 600

P(x < 400)

Z = (400 - 500) /100 = - 1

P(x < 600)

Z = (600 - 500) / 500 = 1

P(Z< 1 ) - P(Z < - 1)

0.84134 - 0.15866

= 0.68268

= 0.68268 * 100%

= 68.268%

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Find \sqrt{128}

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Solve 3(x - 2) &lt; 18.
Inessa05 [86]

Answer:

3x - 6 < 18

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Find the x-intercepts for the parabola defined by the equation below. y = x2 + 9x + 14
faltersainse [42]

Answer:

x - intercepts are (-7,0) and (-2,0)

A is the correct option.

Step-by-step explanation:

We have been given the equation of the parabola y=x^2+9x+14

For x- intercept, y = 0

0=x^2+9x+14

We can split the middle term as 9x = 7x +2x

x^2+7x+2x+14=0

Now take GCF

x(x+7)+2(x+7)=0

Factored out the common term

(x+7)(x+2)=0

Apply the zero product property

(x+7)=0,(x+2)=0

Solve for x

x=-7,-2

Hence, x - intercepts are (-7,0) and (-2,0)

A is the correct option.

4 0
3 years ago
How much wrapping is needed for a package that is shaped like a cube<br> 16 in. on each edge?
PtichkaEL [24]

Answer:

1536 in^2

Step-by-step explanation:

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3 0
3 years ago
Omar and Zina Aboud found that the dealer's cost of the base price was $16,558. 16 and the dealer's options cost was $611. 60. T
SIZIF [17.4K]

Assuming the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, The car's sticker price is: $17,644.76 and the dealer price is $16,246.72.

<h3>Car's sticker price and dealer's price</h3>

a. Car's sticker price:

Using this formula

Car's sticker price=Base price+Options cost+Destination charge

Let plug in the formula

Car's sticker price=$16,558. 16 + $611. 60+$475. 00

Car's sticker price=$17,644.76

b. Dealer price:

Dealer's price=Percent of base price+Percent of options cost+Destination charge

Let plug in the formula

Dealer price=16,558. 16+$611. 60+$475.00

Dealer price=$16,246.7152

Dealer price=$16,246.72 (Approximately)

Inconclusion  the car's sticker price is: $17,644.76 and the dealer price is $16,246.72.

Learn more about  car's sticker price here:brainly.com/question/8759334

3 0
2 years ago
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