Dividing a polynomial

Using the normal distribution, it is found that the area of the shaded region is of 0.7823.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{64.2 - 59}{6.7}[/tex]

[tex]Z = 0.7761[/tex]

[tex]Z = 0.7761[/tex] has a p-value of 0.7823.

The area of the shaded region is of 0.7823.

To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213

MY ANSWER WITH SOLVING STEPS

#CARRYONLEARNING

DON'T FORGET HIT THE THANK YOU BUTTON

Answer:

I'm confused about your question can you explain?

Answer:

-88-3x=-35x-29(x-18)

-88-3x=-35x-29x-522

-88-3x=-6x-522

-88=-3x-522

424=-3x

x=10

Hope This Helps!!!

Answer:

Area of Walkway = 12x+16

Step-by-step explanation:

Area of Garden = 4(2.5x + 1.5)  [Garden Area]:  (10x + 6)

Area of Garden and Walkway = 5.5(4x+4) [Total Area]:  (22x + 22)

Area of Walkway = [Total Area] - [Garden Area]

Area of Walkway = [5.5(4x+4)] - [4(2.5x + 1.5)]

Area of Walkway = [22x+22)]   - [10x + 6)]

Area of Walkway = 12x+16

Answer:

9x+11 Its hard to explain but if you need a explanation khan academy really helps.

The cost of each campstools, tent and sleeping bag is $20, $100 and $26

let

tent = 1

sleeping bags = 2

campstools = 3

Total cost = $212

tent = t

sleeping bags = s

campstools = c

If

t = 5c

s = c + 6

Total = t + 2s + 3c

212 = 5c + 2(c + 6) + 3c

212 = 5c + 2c + 12 + 3c

212 = 10c + 12

212 - 12 = 10c

200 = 10c

c = 200/10

c = 20

t = 5c

= 5 × 20

= 100

s = c + 6

= 20 + 6

= 26

Therefore, the cost of each campstools, tent and sleeping bag is $20, $100 and $26

Learn more about equation:

https://brainly.com/question/4916384

Answer:

This question is straightforward if you find different triangles in the figure itself.

Property of a triangle: All internal angles of a triangle must add up to 180°

Take a look at Triangle DBH.

Method A

Angle BHD = 180°-33°-46° (sum of angles in a triangle)

                   = 101°

Property of angles on a straight line: All angles on a straight line must add up to 180°

Angle x = 180°-101° (supplementary angles)

             = 79°

Method B

Take a look at Triangle DBH.

Property of exterior angle (in this case, angle x): An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

Angle x = 33°+46°

             = 79°

Answer:

Yes

Step-by-step explanation:

AX is equal to XB

Answer:

4 days

Step-by-step explanation:

55d+35+15d=315

70d=315-35

70d=280

d=280/70

d=4

=====================================================

Work Shown:

(2 cm)/(7 m) = (7.5 cm)/(x meters)

2/7 = 7.5/x

2x = 7*7.5

2x = 52.5

x = 52.5/2

x = 26.25

7.5 cm on paper corresponds to 26.25 meters in real life.

side note: 26.25 meters = 86.122 feet approximately

Answer:

4k+11

Step-by-step explanation:

There you go. Happy to help.

Answer:

Y-intercept: (0, -10)

X-intercepts: (5,0), (1,0)

Axis of symmetry: (3,0)

Step-by-step explanation:

You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.

There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.

By factoring it, you get

-2(x-5)(x-1)=0

If one part of it equals zero, than the whole function equals zero.

So it can be split up like this

(x-5)=0

(x-1)=0

So...

x=5 and x=1 are the the zeros or (5,0) and (1,0)

Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.

Answer:

1500 + x(0.1)=salary

Step-by-step explanation:

Without a sales value, what I'm assuming you want is the equation to find his salary

Using a y=mx+b equation, we find that the b=1500, while m (the slope) is equal to 10%/100 and x is the dollar ammount in sales marcus has made, with y being this months paycheck

so we end up with an equation of 1500 +0.1x=y

Leave a thanks please!

Answer:

1050miles.

Step-by-step explanation:

since every 2 inches=350 miles, then 6 inches= 3(350miles)

since 6/2=3.

or you can think of it this way:

there are 3 2-inches in 6 inches, and every 2 inches, it's 350s miles.

350+350+350=1050miles.

Answer:

y=4/9x-5

Step-by-step explanation:

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

m=(-1-(-5))/(9-0)

m=(-1+5)/9

m=4/9

y-y1=m(x-x1)

y-(-5)=4/9(x-0)

y+5=4/9(x)

y+5=4/9x

y=4/9x-5

Answer:

I would expect 1 person to want mustard.

Explanation:

6 is half of 12, and 1 is half of 2 :)

Hope this helped

I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six

Answer:

121 cm²

Step-by-step explanation:

Square's area formula is

A=a²

where a stands for a side of the square

A=(11 cm)²

A=121 cm²

whenever you're talking of area you put cm²

Answer:

Given :

To Find :

Using Formula :

[tex]\star\small{ \underline{\boxed{\sf{\red{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]

Solution :

Substituting the given value in the required formula to find area of square :

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11)}^{2}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11 \times 11)}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(121)}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = 121 \: {cm}^{2}}}}}}[/tex]

[tex]{\star{\small{\underline{\boxed{\sf{\pink{Area_{(Square)} = 121 \: {cm}^{2}}}}}}}}[/tex]

Hence, the area of square is 121 cm².

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

3 (x - 4)

Step-by-step explanation:

Answer:

x= 11 and y = 4

Step-by-step explanation:

(solving by elimination)

Multiply the first equation by 2 and multiply the second one by 1.

2(x+y= 15)

1(-2x+5y=-2)

is now

2x+2y=30

-2x+5y-2

add them together to eliminate x

7y=28

then solve for y

7y=28

[tex]\frac{7y}{7}[/tex]=[tex]\frac{28}{7}[/tex]

y=4

---

Now you have y. put that back into the original equation for X

---

x+y=15

y= 4 so

x+4=15

x= 15-4

x=11

x=11, y=4

Answer:

your answer is b 8/10 - 5/10

Step-by-step explanation:

Answer:

V = 82,406.16 cm³

Step-by-step explanation:

Volume of a sphere

V = 4πr³/3

V = 4•3.14•27³/3

V = 247,218.48/3

V = 82,406.16 cm³

Answer:

c

Step-by-step explanation:

_6x -9y =15

_6x÷3=-2x

9y÷3=3y

15÷3=5

so,_2x -3y =5

Answer:

8 occurs most often so the number is 8.

Answer:

The mode is 8.

Step-by-step explanation:

mode means the number that occurs the most in a list.

Answer:

1x+-8(-4)=b

Step-by-step explanation:

Answer:

140 feet

Step-by-step explanation:

You will need to find the perimeter of the backyard to find how many feet of fencing will be needed

the formula for perimeter is: 2l+2w

So 2 times 30 is 60

with 2 times 40 80

60+80 is 140

Thus you will need 140 feet to cover the backyard

Hope this helps!

Answer:

140 ft

Step-by-step explanation:

Perimeter = 2(l+w)

Perimeter = 2(30+40)

Perimeter = 2(70)

Perimeter = 140

Answer:

all you do is() first divide then go from left to right answers 4

Answer:

if you are dividing by 2 then 10 is closer but if you multiplying .. 10 is still closer

I think the answer would be D. 10 is closest to 0.9997