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oksano4ka [1.4K]
2 years ago
11

Question

Mathematics
1 answer:
balandron [24]2 years ago
8 0

Answer:

The approximate percentage of SAT scores that are less than 865 is 16%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1060, standard deviation of 195.

Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.

865 = 1060 - 195

So 865 is one standard deviation below the mean.

Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So

The approximate percentage of SAT scores that are less than 865 is 16%.

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Hi I also need help with this please and thank you
OverLord2011 [107]

Answer:

Step-by-step explanation:

y=mx+b where m=slope and b=y intercept

m=(y2-y1)/(x2-x1)

m=(-2-4)/(2+1)

m=-2 so far we have the slope

y=-2x+b, using point (2,-2) we can solve for b, the y intercept

-2=-2(2)+b

-2=-4+b

2=b so we have our line

y=-2x+2, slope is -2 and y intercept is 2

8 0
3 years ago
What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches? Round to the nearest tenth.
devlian [24]

Answer:

The length of the diagonal of a poster board is 35.6\ in

Step-by-step explanation:

Let

x----> the length of the diagonal of a poster board

we know that

Applying the Pythagoras Theorem

x^{2}=22^{2}+28^{2} \\ \\x^{2}=1,268\\ \\x=35.6\ in

4 0
2 years ago
Read 2 more answers
Pliz solve this question​
kotegsom [21]

Answer:

  • i) (-3,0)
  • ii) (0,5)

Step-by-step explanation:

<u>Coordinates of points</u>

i) lies on x- axis with abscissa - 3

  • If it lies on x- axis, it has zero y-coordinate
  • It is (-3, 0)

ii)  lies on y-axis with ordinate 5

  • It lies on y-axis, it has zero x-coordinate
  • It is (0, 5)
4 0
3 years ago
The figure à shown on ancient coin which was once used in china.the coin is in the shape of a circle of radius 3cm with a square
lianna [129]

Answer:

(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm

Step-by-step explanation:

(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²

The area of the square of x sides removed from its center is x².

The area A of the each face of the coin is thus A = 9π - x²

Since the area of each face of the coin A = 7π cm²,

then

7π = 9π - x²

9π - 7π - x² = 0

2π - x² = 0

(2) Solve the equation 2π - x² = 0

2π - x² = 0

x² = 2π

x = ±√(2π)

x = ± 2.51 cm

Since x cannot be negative, we take the positive answer.

So, x = 2.51 cm

≅ 2.5 cm

(3) Find the perimeter of the square

The perimeter of the square, p is given by p = 4x

p = 4 × 2.51 cm

= 10.04 cm

≅ 10 cm

8 0
3 years ago
Which of the following algebraic expressions represents the sum of 7 and one-fifth of x?
Simora [160]

Answer:

b

Step-by-step explanation:

b because it say's 1/5 and 7 it do not  say negative so yea

4 0
2 years ago
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