Assume a population of weights is normally distributed.
The average weight for the population is 154lbs. The
standard deviation for the population is 12 lbs.
What proportion of the population weighs more than 151
lbs and less than 163 lbs? (Please write your answer in
decimal to the nearest ten-thousandth.)

Answer:

x = 15/8 or 1 7/8

Step-by-step explanation:

eliminate denominators by multiplying everything by 15 to get:

15(4/5x) - 15(1/3x) = 15(x) - 15(1)

12x - 5x = 15x - 15

7x = 15x - 15

subtract 15x from each side to get:

-8x = -15

divide each side by -8 to get:

x = 15/8 or 1 7/8

Answer:

The answer that I got for mine was 40%

Step-by-step explanation:

This is because there were 10 trials and 4 of the trials had rain. so 40 percent of the trials had rain. Hope it helps!

Answer:

Solution given:

perpendicular distance =height [p]=40m

base or horizontal distance [b]=198m

Hypotenuse or zip line [h]=?

Now

By using Pythagoras law

h²=p²+b²

h²=40²+198²

h=√40804

h=202m

So the Zip line is 202m long.

Answer:

i got n =2

Step-by-step explanation:

setted up a proportion, so 4/n+6 = 9/n+16 and solved from there and got 2.

Answer:

A. Zero

Step-by-step explanation:

The upside down parabolic graph has no roots because it not linear

Answer:

88.3 degrees

Step-by-step explanation:

The complementary angles complete each other to 90 degrees

if one of the angle is 1.7 degree then the other one is :

90 - 1.7 = 88.3 degrees

Answer:

=8^-8 × 8^3

= 8^-8+3

=8^ -5

Answer: b

Step-by-step explanation:

Answer:

The answer would be option B: x < 95

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

X≈ 70.5°

Step-by-step explanation:

Using the cosine rule in Δ XYZ

cos X = [tex]\frac{y^2+z^2-x^2}{2yz}[/tex]

with x = 22, y = 20, z = 18 , then

cos X = [tex]\frac{202+18^2-22^2}{2(20)(18)}[/tex]

          = [tex]\frac{400+324-484}{720}[/tex]

          = [tex]\frac{240}{720}[/tex] , then

∠ X = [tex]cos^{-1}[/tex] ([tex]\frac{240}{720}[/tex] ) ≈ 70.5° ( to the nearest tenth )

Answer:

c and a because x = a smaller number

Answer:

i think D

Step-by-step explanation:

Answer:

2.5h=20

Step-by-step explanation:

:D

Answer:

a) 16/36 b)20/36

Step-by-step explanation:

16 + 20 = 36

36 = how many people are in the class all together

Sorry if it is wrong

Answer:

3

Step-by-step explanation:

Angle 1 is a supplement of angle 2, and m angle 1 is 123 degrees. Angle 2 is a complement of angle 3. Find m angle 3.

Answer:

25

Step-by-step explanation:

Answer:

option c

volume of right circular cone=1/3 *(pi)* r*r *h

Answer:

132 cm^2

Step-by-step explanation:

Area of trapezoid = 1/2 ( (7 + 19) * 8) = 26*4 = 104 cm^2

Area of rectangle = 4 x 7 = 28 cm^2

104 cm^2 + 28 cm^2 = 132 cm^2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

9514 1404 393

Answer:

  47 -6√10

Step-by-step explanation:

As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.

  (a -b)² = a² - 2ab + b²

  (√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²

  = 2 - 6√10 + 3²(5)

  = 47 -6√10

__

Check

  √2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals

  (√2-3√5)² ≈ 28.02633

  47 -6√10 ≈ 28.02633

Answer: 8x = 56

Step-by-step explanation:

Since the information given is that Francis plants an orchard of peach trees and that he plants 56 trees in 8 equal rows, the equation that represents this situation if x is the number of trees in each row will be:

(8 × x) = 56

8x = 56

Therefore, to know the number of trees in each row, we've to find the value of x. This will be:

8x = 56

x = 56/8

x = 7

Therefore, the number of trees in each row is 7.

Answer:

17

Step-by-step explanation:

34/2 because the measure of the arc is half of what it would normally be because it touched the other side

Answer:

3, 20, 2, and 2.5

Step-by-step explanation:

For each question, they gave you an x and y value. If you substitute them into the equation and then solve for k, you get your answer.

On the first one, x is 12 and y is 1/4. If you put those into the equation they gave you y = k/x, you get 1/4 = k/12

3/12 is 1/4 so the first k is 3.

Second one y = k/x. x is 4 and is 5. So 5 = k/4

20/4 is 5, so the second k is 20.

Answer:

Step-by-step explanation:

141.12

Answer:

C on edge

Step-by-step explanation:

the guy above is correct

The graph that represents the given inequalities is required.

The required graph is attached.

The inequalities are

[tex]x^2+9y^2<81[/tex]

[tex]y^2+2<x[/tex]

Converting to general forms

Ellipse

[tex]\dfrac{x^2}{9^2}+\dfrac{9y^2}{9^2}<1\\\Rightarrow \dfrac{x^2}{9^2}+\dfrac{y^2}{3^2}<1[/tex]

So,

[tex]a=\pm9[/tex]

[tex]b=\pm3[/tex]

The vertices of the major axes are [tex](9,0)[/tex] and [tex](-9,0)[/tex]

The vertices of minor axes are [tex](0,3)[/tex] and [tex](0,-3)[/tex]

The center lies on the origin.

Since, the sign of the inequality is [tex]<[/tex] the shaded region will be inside the ellipse excluding the ellipse.

Parabola

[tex]x>1(y-0)^2+2[/tex]

So,

Vertex of parabola = [tex](2,0)[/tex]

Since, the square term is [tex]y^2[/tex] the axis of symmetry is the [tex]x[/tex] axis.

The parabola will open towards the positive x axis.

The shaded region is the area in the parabola excluding the parabola due to the [tex]>[/tex] sign.

Learn more:

https://brainly.com/question/24210887

Answer:

6 √15

Step-by-step explanation:

a^2 + b^2 = c^2

plug in your values

(6*6) + (b^2) = (24*24)

solve your exponents

36 + b^2 = 576

subtract 36 from both sides

b^2 = 540

find the square root of both sides

√b^2 = b

√540 = 6√15

b= 6√15

Answer:

7 11/12

Step-by-step explanation:

3 2/3 + 4 1/4 = 3 8/12 + 4 3/12 = 7 11/12