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3 years ago

Suppose that populations of men and women have the following summary statistics for their heights (in

Mathematics

2 answers:

Dominik [7]3 years ago

7 0

Answer:

.13

Step-by-step explanation:

172-162 = 10

We can find the standard deviation of D by adding the variances of the heights and taking the square root:

=σ

+σ

=7.2

+5.4

square root of 81

Representing probability with area

When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:

A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.

normalcdf:

lower bound: −9999

upper bound: 0

μ=10

σ=9

dolphi86 [110]3 years ago

4 0

Answer:.13

Step-by-step explanation:

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Solve the equation. Then check your solution. – two-fifths + a = One-fifth a. Three-fifths c. StartFraction 3 Over 10 EndFractio

VLD [36.1K]

Answer:

a = Negative one-fifth

Step-by-step explanation:

The given equation is :

$\dfrac{2}{5}+a=\dfrac{1}{5}$

We need to find the value of a.

Subtract 2/5 from both sides.

$\dfrac{2}{5}+a-\dfrac{2}{5}=\dfrac{1}{5}-\dfrac{2}{5}\\\\a=\frac{1}{5}-\frac{2}{5}\\\\a=\dfrac{-1}{5}$

So, the correct answer is Negative one-fifth. Hence, the correct option is (b).

5 0

3 years ago

What does this equal? 6(x+1)+5=13-2+6x

natta225 [31]

Simplifying 6(x + 1) + 5 = 13 + -2 + 6x Reorder the terms: 6(1 + x) + 5 = 13 + -2 + 6x (1 * 6 + x * 6) + 5 = 13 + -2 + 6x (6 + 6x) + 5 = 13 + -2 + 6x Reorder the terms: 6 + 5 + 6x = 13 + -2 + 6x Combine like terms: 6 + 5 = 11 11 + 6x = 13 + -2 + 6x Combine like terms: 13 + -2 = 11 11 + 6x = 11 + 6x Add '-11' to each side of the equation. 11 + -11 + 6x = 11 + -11 + 6x Combine like terms: 11 + -11 = 0 0 + 6x = 11 + -11 + 6x 6x = 11 + -11 + 6x Combine like terms: 11 + -11 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.

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3 years ago

I BET NO ONE KNOWS THIS What is the number of moles of Ba(NO3)2 in 135 g Ba(NO3)2? _____ mol Ba(NO3)2

yaroslaw [1]

Answer:

261.3368

Step-by-step explanation:

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3 years ago

Find the equation of the line passing through the point (2, -4) that is parallel to the line y=3x+2

castortr0y [4]

Answer (assuming it can be put in point-slope format):

$y + 4 = 3(x-2)$

Step-by-step explanation:

You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, $y-y_1 = m (x-x_1)$ .

1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or $y = mx + b$ . The coefficient of the x term, or $m$ , represents the slope - so, the slope must be 3.

2) Now, use point-slope formula, $y-y_1 = m (x-x_1)$ , to write the equation. Substitute $m$ , $x_1$ , and $y_1$ for real values.

The $m$ represents the slope, so substitute 3 for $m$ . The $x_1$ and $y_1$ represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for $x_1$ and -4 for $y_1$ . This gives the following answer:

$y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)$

3 0

3 years ago

Divide (18x^3 +9x^2) divided by (3x)

mel-nik [20]

I believe it is 6x^2 + 3x ?????

7 0

3 years ago