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photoshop1234 [79]
3 years ago
5

Assume that adults have IQ scores that are normally distributed with a mean of 95.695.6 and a standard deviation of 19.519.5. Fi

nd the probability that a randomly selected adult has an IQ greater than 115.9115.9
Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

0.14917

Step-by-step explanation:

We have been given that adults have IQ scores that are normally distributed with a mean of 95.6 and a standard deviation of 19.5. We are asked to find the probability that a randomly selected adult has an IQ greater than 115.9.

First of all, we will find z-score corresponding to 115.9 using z-score formula.

z=\frac{x-\mu}{\sigma}, where

z = z-score,

x = Random sample score,

\mu = Mean,

\sigma = Standard deviation.

Upon substituting our given values in z-score formula, we will get:

z=\frac{115.9-95.6}{19.5}

z=\frac{20.3}{19.5}

z=1.04

Now, we will use normal distribution table to find the P(z>1.04).

Using formula P(z>a)=1-P(z, we will get:

P(z>1.04)=1-P(z

P(z>1.04)=1-0.85083

P(z>1.04)=0.14917

Therefore, the probability that a randomly selected adult has an IQ greater than 115.9 is 0.14917 or approximately 14.92%.

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The formula to find two consecutive odd integers is x + (x+2)
5(x+2) = 1 + 8(x)
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10= 1 + 3x
9=3x
x = 3
Answer : the larger integer is 5(3+2) which is 25
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3 years ago
Mora is using a map to find the distance between her house and her cousin's house. She knows that $2$ centimeters on the map rep
Ahat [919]

Answer:

3,000 miles

Step-by-step explanation:

Calculation for the distance, in miles, between Mora's house and her cousin's house

Distance in miles =(2centimeters÷20centimeters) *300 miles

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Therefore the distance, in miles, between Mora's house and her cousin's house will be 3,000 miles

7 0
3 years ago
Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value.<br> +
Hitman42 [59]

Answer:

(5/2, 29/2), and this represents a maximum

Step-by-step explanation:

g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.

The formula for the axis of symmetry (which passes through the vertex) is

x = -b/ [2a].  Here, a = -2; b = 10.  Therefore, the axis of symmetry is

x = -10/ [2(-2)] = -10/(-4) = 5/2

Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:

g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or

g(5/2) = -2(25/4) + 25 + 2, or

g(5/2) = -25/2 + 27, or

g(5/2) = 14.5

The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).

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3 years ago
Solve the inequality. 4 + 9x &gt; 8 − 3x
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Answer:

x > 1/3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A square has an area of 81x square cm. What is the perimeter of the square ?
Fudgin [204]

Answer:

The perimeter of the square is 36\sqrt{x}\ cm

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

A=b^{2}

where

b is the length side of the square

we have

A=81x\ cm^{2}

substitute and solve for b

81x=b^{2}

square root both sides

b=9\sqrt{x}\ cm

step 2

Find the perimeter of the square

we know that

The perimeter of the square is equal to

P=4b

we have

b=9\sqrt{x}\ cm

substitute

P=(4)9\sqrt{x}

P=36\sqrt{x}\ cm

6 0
3 years ago
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