The mean of four numbers is 85. The four numbers are 86, 83, 81, and .
a) Write an equation to show this information
b) Solve the equation for .

Answers

Answer 1

Answer:

90

Step-by-step explanation:

a)

Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:

[tex]\dfrac{86+83+81+x}{4}=85[/tex]

b)

Multiply both sides by 4:

[tex]86+83+81+x=340\\x=90[/tex]

Hope this helps!


Related Questions

Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13

Answers

Answer:

x=7

Step-by-step explanation:

7+2 = 9. 9*15 = 135 degrees

The answer is x=7. 135=15(x+2). Then you’ll get 135=15x+30. You subtract 30 from each side leaving 105=15x. To get x by itself, you then divide 15 on both sides, making the answer x=7.

The roof of a house is the shape of an isosceles right triangle as shown in the diagram below.

A right triangle is shown. An altitude is drawn from the right angle to the opposite side to form another right angle. The length of the altitude is h. The length of one of the sides is 10.

What is the height of the roof, h?

5 ft
5 StartRoot 2 EndRoot ft
6 StartRoot 3 EndRoot ft
StartFraction 5 StartRoot 2 EndRoot Over 2 EndFraction ft

Answers

Answer:

5 StartRoot 2 EndRoot ft its B

Step-by-step explanation:

The height of the roof is 5 StartRoot 2 EndRoot ft

Isosceles right triangle

Since the triangle is isosceles, hence the base angles will be 45 degrees

Using the SOH CAH TOA identity;

Cos 45 = adj/hyp

Given

Adj = hHyp = 10

Substitute

Cos 45 = h/10

h = 10cos45

h = 10 * 1/√2

h = 5√2

Hence the height of the roof is 5 StartRoot 2 EndRoot ft

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

asapppp

What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2

Answers

i believe you multiple all three together and you get d. 504

Vito is a pitcher on his baseball team. This season he has allowed an average of 0.8 hits per inning pitched. If Vito pitcher 160 innings this season how many hits did he allow?

Answers

Answer:

200

Step-by-step explanation:

.8x = 160

SOLVED
its 160

The table shows the number of mobile cellular subscriptions per 100 people in Australia for different years.

Year | Cellular subscriptions / 100 people

1993 | 4 12 25 33 57 72 90 101 101 108

1995 | 12

1997 | 25

1999 | 33

2001 | 57

2003 | 72

2005 | 90

2007 | 101

2009 | 101

2011 | 108

The quadratic regression equation using the years since 1990 for the input variable and the number of cellular subscriptions for the output variable is y=−0.107x^2+9.008x−28.851

What is the predicted number of cellular subscriptions per 100 people in Australia in 2030?

Round your answer to the nearest whole number. Enter your answer in the box.
Nvm its 160

Answers

Answer:

160

Step-by-step explanation:

x represents the years since 1990, so at 2030, x =  2030 - 1990 = 40. Replacing this value into the quadratic regression equation, we get:

y = -0.107(40)^2 + 9.008(40) - 28.851 = 160

which is the predicted number of cellular subscriptions per 100 people in Australia in 2030

How to solve this equation and check it. a - 2.5 = 4.5?

Answers

Answer:

Step-by-step explanation:

a - 2.5 = 4.5

     2.5 = 2.5

a = 7.0 or 7

7.0 - 2.5 = 4.5

4.5 = 4.5

If the linear model applies the function f(x) = 1.3x + 9.2, what is the predicted value and residual
when the tree is 3 years old with a height of 14?

A) Predicted value: 13.1
Residual: 0.9
B) Predicted value: 11.8 Residual: 0.2
C) Predicted value: 15.7 Residual: 1.3
D) Predicted value: 18.3 Residual: 0.7

Answers

Answer:

A) Predicted value: 13.1   Residual: 0.9

Step-by-step explanation:

By definition:

residual = observed - predicted

The linear model is:

f(x) = 1.3x + 9.2

where f(x) is the height and x is the age of the tree.

Replacing with x = 3:

f(x) = 1.3(3) + 9.2 = 13.1 ft

which is the predicted value. The observed value is 14 ft, then:

residual = 14 - 13.1 = 0.9 ft

c2-3c-10c2+5c-14c2-c-2c2-15​

Answers

Answer:

-13c4 - c3 - 15c2 - 12

 ——————————————————————

           c2        

What’s the answer to this???

Answers

Answer:

c

Step-by-step explanation:

Another angle math problem. I just don’t get it ‍♀️ Help please.

Answers

I think 22 degrees not sure sorry

Answer:

68°

Step-by-step explanation:

Complementary = 90 - 22

each Stone in Ali's collection weighs about 4 oz her collection way about 24 lb in all how many stones are in Ali's collection​

Answers

Answer:

The answer is 96

Step-by-step explanation:

4 oz = 0.25 lb so 0.25*24 = 96

How many combinations of 6 students can a teacher choose from 30 students?
657,720
593,775
180
427,518,000

Answers

Answer: 593775

Step-by-step explanation: 30C6 =30x29x28x27x26x25 / 6x5x4x3x2x1 =593775

Find the area of the kite.
56 mm 2
40 mm 2
30 mm 2
80 mm 2

Answers

Answer:

30 mm 2

Step-by-step explanation:

The answer is 40 mm 2

Consider the following number line: A A B B C C 1.1 1.1 0 0 Select a reasonable value for Point B Bstart color #11accd, B, end color #11accd. Choose 1 answer: Choose 1 answer: (Choice A) A 2.1 2.12, point, 1 (Choice B) B 5.4 5.45, point, 4 (Choice C) C − 0.9 −0.9minus, 0, point, 9 (Choice D) D − 0.77 −0.77minus, 0, point, 77

Answers

Answer:

c.-1.9

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

need answer as soon as possible

Answers

Answer:

I think it would be 65 degrees

Step-by-step explanation:

If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.

If a wiggling string has a natural frequency of 34.5 Hz to produce 4 harmonics, what is the period of the string?

Answers

Answer:

[tex] T = \frac{1}{f}[/tex]

And replacing we got:

[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]

And then we can conclude that with the conditions given the period of the string would be 0.0290 s

Step-by-step explanation:

For this case we know the frequency associated to the 4 harmonic.

We know that by definition the frequency is the inverse of the period:

[tex] f= \frac{1}{T}[/tex]

If we solve for the period we got:

[tex] T = \frac{1}{f}[/tex]

And replacing we got:

[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]

And then we can conclude that with the conditions given the period of the string would be 0.0290 s

you need to pay 8% tax on a car that costs $12,00. what will you end up paying in total?

Answers

Answer:

12960

Step-by-step explanation:

12,000 × .08 = 960

12,000 + 960 = 12,960

You multiply 12,000 by 0.8 and you get 960
Then you do 12000 plus 960 and then you get your answer

a) From where Jacob and his family have set up camp to the base of the mountain is 2,000 feet.
The angle of elevation formed from the campsite to the top of the mountain is 54. How tall
is the mountain?
b)
Jacob and his dad end up hiking up to the top. If the base of the mountain is 2.600 feet wide,
what is the total distance that Jacob and his dad hiked from their campsite to the top of the
mountain?
c)
From the top of the mountain, Jacob sees a building at an angle of depression of 24 to the
bottom of the building. How far away from the campsite is the building?

Answers

Answer:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

Step-by-step explanation:

A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees

Using SohCahToa, to calculate the height

Tan 54 = height/2000

Height = 2000 tan54 = 2752.8 feet

B.) Given that the base of the mountain is 2600 feet wide.

Let use pythagorean theorem to find the slant length

Adjacent = 2600/2 = 1300 feet

Slant length = root ( 1300^2 + 2752.8^2)

Slant length = 3044.3 feet

The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be

3044.3 + 2000 = 5044.3 feet

C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet

Using pythagorean theorem again

Tan 24 = 2752.8/distance

Distance = 2752.8/tan24

Distance = 6182.9 feet

The height of the mountain for the following conditions are as follows:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

What is Angle of Elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54⁰

To calculate the height

Tan 54⁰ = height/2000

Height = 2000 X tan54⁰ = 2752.8 feet

B.) Given that the base of the mountain is 2600 feet wide.

Let use pythagorean theorem to find the slant length

Adjacent = 2600/2 = 1300 feet

Slant length = √ ( 1300^2 + 2752.8^2)

Slant length = 3044.3 feet

The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be

3044.3 + 2000 = 5044.3 feet

C.) Given that the angle of depression is 24⁰ while the height is 2752.8 feet

Using Pythagorean theorem again

Tan 24⁰ = 2752.8/distance

Distance = 2752.8/tan24⁰

Distance = 6182.9 feet

Thus, the height of the mountain for the following conditions are as follows:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

Learn more about Angle of Elevation from:

https://brainly.com/question/16716174

#SPJ5

A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?

Answers

Answer:

Step-by-step explanation:

Total= 100 Ft

Width= 20

Length=?

Total - Width = Length

100 - 20 =

80 Length Of the Garden

Which 2 numbers have a least common multiple of 36?


Answers

Answer:

9 and 12,

Step-by-step explanation:

Answer:

nine and twelve (A)

Step-by-step explanation:

The Least Common Multiple of six and fifteen is thirty and the LCM of eight and eighteen is 72, this leaves only A which is correct.

4. Find the surface area of the space figure represented by the net.
A 75 cm
B 96 cm2
C 90 cm2
D 69 cm

Answers

The correct answer is C. 20 characters

Sam has $24 in his wallet. He pays $8 to have his car washed. Which expression represents this situation?
a. -24 +(-8)
b. -24 +8
c. 24 + (-28)
d. 24 + 8

Answers

Answer:

B

Step-by-step explanation:

Your answer is - 24 + 8.

Can someone pls help me on the last two questions

Answers

D for 9, solve the other the same way

Step-by-step explanation:

I am assuming that I am supposed to find the equivalent.

9

[tex]\sqrt{16x^3yz^4}[/tex]

First, separate the square roots.

[tex]\sqrt{16}\sqrt{x^3} \sqrt{y} \sqrt{z^4}[/tex]

Then simplify each.

[tex]4*x\sqrt{x} * \sqrt{y} * z^2[/tex]

Then combine like terms.

[tex]4z^2*x\sqrt{xy}[/tex]

That's D

Now do the same for Number 10.    

Find the area of the shape shown below.

Answers

Answer:

44.5

Step-by-step explanation:

(1 x 12) + (5 x 13)/2 = 44.5

Answer: 44,5 cm2

Step-by-step explanation:

Rektangel:

1 × 12 = 12 cm2

triangel:

13 × 5 = 65 cm2

78 ÷ 2 = 32,5 cm2

Area:

32,5 + 12 = 44,5 cm2

Two consecutive even Integers whose product is 80

Answers

8 and 10 hope this helps

What is the length of AR if the radius of the circle is 6 cm?

Answers

Step-by-step explanation:

[tex]arc \: length \: = \frac{theta}{360} \times 2\pi \: r \\ here \: theta \: = 105 \: degrees \: \: \: \: and \\ radius \: = 6 \: cm \\ on \: substituting \: the \: values \: in \: formula \\ = \frac{105}{360} \times 2\pi \: \times 6 \\ = \frac{105}{360} \times 12\pi \\ = \frac{105}{30} \times \pi \\ = 3.5 \times \pi \\ = 3.5 \times 3.14 \\ = 10.99 \\ arc \: length \: = 11.0 \: \: (approximately)[/tex]

What I want you to do is think of yourself as a tourist who just landed in Nebraska. You've decided to take a road trip across the northwestern US (as presented in the states shown on the map) and you want to cross each state border exactly once. So for example, you want to make sure that you cross the border between SD-ND, SD-NE, SD-WY, SD-MT. You don't just want to visit South Dakota, but you want to cross all of the borders as well... but only once! You can visit each state as many times as you wish, but you can only cross each border once. Can you think of a way to cross ALL of the state borders in the map exactly once, while ending back where you started in Nebraska?

Answers

Answer: up, left, down, right

Step-by-step explanation:

because

PLEASEEEEEEEEEE HELP FAST... 50 POINTS
SOLVE FOR VOLUME

Answers

Answer:

Step-by-step explanation:

volume = height * are of the trapezoidal =  9 * (7+11)*4.5 / 2 = 364.5 m3

Answer:

364.5 m³

Step-by-step explanation:

Volume = base area × height

Base area: ½(7+11)×4.5

9×4.5

40.5 m²

Volume: 40.5 × 9

364.5 m³

When Lori was born she weighed 7 1/2 pounds. There
are 16 ounces in every pound. What was Lori's weight
in ounces? Solve this problem any way you choose.​

Answers

Answer:

Lori weight in ounces is 120

Step-by-step explanation:

(7 x 16)+ (1/2 x 16) = 120

Ami and Bert are drawing plans for rectangular vegetable gardens. In Ami's plan, the garden is 16 feet by 13 feet. In Bert's plan, the garden is 18 feet by 18 feet.

Select all true statement(s).

A The area of Bert’s garden is 116 square feet greater than Ami’s.
B The area of Ami’s garden is 208 square feet.
C The area of Bert’s garden is 72 square feet.
D Ami’s garden has a greater area than Bert’s garden.

Answers

Answer:

A and B

16 times 13=208

18 times 18=324

Subtract those and you get 116

Answer:

A and B

Step-by-step explanation:

A.) Area of Bert's garden : 324 - Area of Ami's garden 208= 116

B.) Ami's garden is 208 feet if you do 16 x 13

Mark mine as branliest please!

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