A teacher's grades are normally distributed with a mean of 75 and a standard deviation
of 8.6. What is the probability that a student will score between 56 and 72?

Answer:

17.5

Step-by-step explanation:

y=kx

35 = k(140)

k = 0.25

(k is constant of proportionality)

y = (0.25)(70)

y=17.5

(3+x)²

(5+3)²=

8²=

64

.

.

.

.

Answer:

64

Step-by-step explanation:

Since x=5

(5+3)^2

(8)^2= 64

Answer:

x = -13

Step-by-step explanation:

Step 1: Rearrange terms

9-2x=35

-2x+9=35

Step 2: Subtract from both sides of the equation

-2x+9-9=35-9

Step 3: Simplify

-2x+0=26

-2x=26

Step 4: Divide both sides of the equation by the same term

-2x/-2 = 26/-2

Step 5: Simplify

x = 26/-2

x=-13

Answer:

[tex]104in^{2}[/tex]

Step-by-step explanation:

area of a triangle is just (b)(h)/2

(13)(16)/2

208/2

104 in squared

Answer:

104ft²

Step-by-step explanation:

formula for area of a triangle = [tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The triangle shown has a base length of 16 ft and a height of 13 ft

Using this information we plug in the values into the formula

[tex]A=\frac{16*13}{2}\\16*13=208\\\frac{208}{2} =104\\A=104ft^2[/tex]

Hence, the answer is 104ft²

→heart is central to the circulatory system as it is the fist-sized pump that circulates the blood throughout the body.

Answer:

The area of the triangle is 351cm^2.

Step-by-step explanation:

To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.

Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.

Using Pythagoras' Theorem,

AB^2 = AT^2 + TB^2

AT^2 = AB^2 - TB^2

AT^2 = 30^2 - (26/2)^2

AT^2 = 30^2 - 13^2

AT =

[tex] \sqrt{ {30}^{2} - {13}^{2} } [/tex]

AT = 27.0370116692

So the length of AT is our height. We can now find the area of the triangle.

Area of triangle = (1/2) x 26cm x AT

Area of triangle = 351.4811516996

Area of triangle = 351cm^2 (To 3s.f.)

Answer:

hablas español?? Si o no ?

Answer:

C

Step-by-step explanation:

y= 60(2)+10

y=130

y=65(2)

y=130

the dimensions of the rectangle are 9 and 3

Step-by-step explanation:

108÷4=27 and 27 ÷3=9

Answer:92.84

Step-by-step explanation: 39+27+13.5+13.5 because the two sides are longer than 12

The perimeter of the trapezium is 143.94 ft.

We have,

The perimeter of an isosceles trapezium can be found by adding the lengths of all four sides.

In this case, the trapezium has height = 12 ft and parallel sides of length 27 ft and 39 ft.

To find the length of the non-parallel sides we can use the Pythagorean theorem:

a² = (39 - 27/2)² + 12²

a² = 1440

a ≈ 37.95 ft

Therefore,

The perimeter of the trapezium is:

P = 27 + 39 + 2a

P ≈ 27 + 39 + 2(37.95)

P ≈ 143.9 ft

Rounding to the nearest hundredth place,

we get P ≈ 143.94 ft.

Thus,

The perimeter of the trapezium is 143.94 ft.

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ7

Answer: A. -6=n

Step-by-step explanation:

3(x - 2) =7x+n

3x-6=7x+n

-6=4x+n

-6=4(0)+n

-6=n

Answer:

20

Step-by-step explanation:

4x5/20

Answer:

1/10 x 1.2 is 0.12

Step-by-step explanation:

so yeeeeeeee

Answer:

4x=-16

x=-4 is your answer

Answer:A) x = -4

Additive inverse -3 to both sides 4x=-16

The divide both sides by 4, x=-4

Step-by-step explanation:

Answer:

number 1:area is 30 , perimeter is 22

number 2:area is 450 perimeter is 29

Step-by-step explanation:

Answer:

1 = 30, 22. 2 = 45, 33.

Step-by-step explanation:

For step 1, multiply the numbers to get the area, then double them and add them all to get the perimeter.

For step 2, multiply the two sets of numbers, 5 and 3, and 6 and 5, and add them. For the perimeter do the same as step 1.

Answer:

b

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

I think it is the second option as you use the formula for finding out the area of a triangle which is b×h/2 so 18×6=108 then divide by 2 or half it which gets the answer of 54mi^2.

hope this helps,have a great day!!

~Pinky~

Answer:

54m^2

Step-by-step explanation:

Area of triangle is base * height /2

18*6/2

108/2

54

Answer:

isn't a fortnight 14?

Step-by-step explanation:

Answer:

3f + d or d +3f

Answer:

A), C), E)

Step-by-step explanation:

Answer:

They paid 81.4 all together.

Step-by-step explanation:

Multiply 44 times 1.85 as each person paid $1.85.

44*1.85=81.4

Explanation: There are four equal sections, one of which is red. So the probability of landing in the red space is 1/4.

Answer:

StartFraction 1 Over 45 EndFraction of a yard

Step-by-step explanation:

Length of the wooden dowel rod = 8/15 of a yard

Number of pieces = 24

What is the length of each piece of dowel rod?

Length of each piece of dowel rod = Total length of wooden dowel rod / number of pieces

= 8/15 ÷ 24

= 8/15 × 1/24

= (8*1) / (15*24)

= 8/360

= 1/45

Length of each piece of dowel rod = 1/45 of a yard

Answer:

2nd one

Step-by-step explanation:

Answer:

10000

Step-by-step explanation:

Let the number = x

Square root of x divided by 5 equals 20

√x / 5 = 20

Using cross multiplication

√x = 20 * 5

√x = 100

Take the square of both sides

(√x)² = 100²

x = 10000

Therefore, the number is 10000

Answer:

0

Step-by-step explanation:

Answer:

you're welcome

glad to help!