A group of four numbers has an average of 14. The first three numbers are 11, 12 and 17. What's the missing number?

Answers

Answer 1

Answer:

16

Step-by-step explanation:

So if 4 numbers have an average of 14, that means to find the sum of all 4 numbers, you work backwards & multiply 4x14 to get 56.

Then 56-the sum of the 3 numbers you already have (11+12+17=40)

56-40=16

To double check, to find the average of 4 numbers that total 56, you divide 56 by 4 & get 14


Related Questions

How many pieces of stone each of size 20 cm x 30 cm x 10 cm are required to construct a wall of 20 m x 60 cm x 2m?​

Answers

4000 pieces of stones needed

Explanation:

All measurements should be taken in cm unit wise

For wall:

20 m = 2000 cm60 cm = 60 cm2 m = 200 cm

For each stone:

20 cm30 cm10 cm

Volume of the wall:

2000 x 60 x 200 24000000 cm³

Volume of each stone:

20 x 30 x 106000 cm³

Pieces of stone needed:

24000000/60004000 pieces of stones

Answer:

=> 4000 pieces

Step-by-step explanation:

First change m into cm

20m -> 2000cm

2m -> 200cm

volume of wall = 2000×200×60

=> 24000000 cm³

volume of each stone = 20×30×10

=> 6000 cm³

stone needed = 24000000/6000

=> 4000 pieces

Anvils Works' requires, on average, 2,500 tons of aluminum each week, with a standard deviation of 800 tons. The lead time to receive its orders is 11 weeks. The holding cost for one ton of aluminum for one week is $11. It operates with a 0.98 in-stock probability. Use Table 11.5.
Suppose its on-hand inventory is 5050 tons, on average. What in-stock probability does it offer to its customers?

Answers

Based on the inventory on hand, the lead time, and the standard deviation, the in-stock probability will be 96.56%

What is the in-stock probability?

To find the in-stock probability, you first need to find the Z score as:

= On-hand inventory / Standard deviation x √(lead time + 1)

Solving gives:

= 5,050 / 800 x √(11 + 1)

= 5,050 / 2,771.28

= 1.82

With a Z score of 1.82, the probability according to the Z tables will be 96.56%

Find out more on Z scores at https://brainly.com/question/25638875.

If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where x=√2/2, what is the exact measure of θ?

Answers

The exact measure of the angle is 45°.

How to get the angle?

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

[tex]1 = \sqrt{( \frac{\sqrt{2} }{2} )^2 + y^2} \\\\1^2 = \frac{2}{4} + y^2\\1 - 1/2 = y^2\\\\1/\sqrt{2} = y[/tex]

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

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Which function represents the sequence? 45, 40, 35, 30, 25

Answers

Answer:

the function is subtracting 5 from the next number, the next number would be 20. If this helped please mark brainliest

Step-by-step explanation:

Subtract by 5 for everyone

find the value of x please help

Answers

Answer:

x = 146

Step-by-step explanation:

x and 34° are adjacent angles and sum to 180°, then

x + 34 = 180 ( subtract 34 from both sides )

x = 146

help pls!!!
free brainleist

Answers

Answer:

28

Step-by-step explanation:

subtract 248 from 360 to get 112, add up all x's to get 4, then divide 112 by 4 to get 28

Answer:

ah P00

Step-by-step explanation:

Determine the solution, if any, to the system of equations below
8x - 2y = 1
-4x + y=3
Show your work.

Answers

Answer:

This question cant be determine

Step-by-step explanation:

there's no input

A bad contains two red marbles, six blue marbles and seven green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest thousandth, the both marbles drawn will be red

Answers

Answer:

1/105

Step-by-step explanation:

Total Marbles= 2+6+7=15

2/15 * 1/14 = 2/210 = 1/105

(It becomes 1/14 since you take out own red marble)

What formula can we use to find the surface area of a rectangular prism?​

Answers

Answer:

First one

SA = 2lw + 2lh + 2wh

Step-by-step explanation:

The area is this, it is a fact..

A=2(wl+hl+hw)

Answer:

first one

Step-by-step explanation:

SA = 2wl + 2lh + 2hw

Find all solutions to the equation
in the interval [0, 27). Enter the
solutions in increasing order.
cos 2x + cos x = 0

Answers

It looks like the equation is

cos(2x) + cos(x) = 0

Use the double angle identity for cosine to write this as

(2 cos²(x) - 1) + cos(x) = 0

2 cos²(x) + cos(x) - 1 = 0

Factorize the left side:

(2 cos(x) - 1) (cos(x) + 1) = 0

Then either

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

2 cos(x) = 1   or   cos(x) = -1

cos(x) = 1/2   or   cos(x) = -1

[x = cos⁻¹(1/2) + 2nπ   or   x = -cos⁻¹(1/2) + 2nπ]

…   or   [x = cos⁻¹(-1) + 2nπ]

(where n is any integer)

x = π/3 + 2nπ   or   x = -π/3 + 2nπ   or   x = π + 2nπ

We get the following solutions in the interval [0, 2π):

x = π/3   and   x = π   and   x = 5π/3

A machine fills boxed at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxed and the number of boxes it has filled?

Answers

Answer:

35 divided by 5 = 7

Step-by-step explanation:

PLEASE HELP ASAP! Find the volume of the prism.

Answers

You have to look for the formula

Answer:

5 * sqrt(3)

Step-by-step explanation:

First, find the area of the triangle. Do this by determining the height of the triangle. The main triangle is really two right triangles, so do half of it at a time. This causes the base to become one.

According to the Pythagorean Theorem, the height is the square root of 3.

The area of one half of the triangle is sqrt(3)/2, but you need to double that to find the whole triangle's area, so the whole area is sqrt(3).

Now just multiply by 5.

The answer is 5 * sqrt(3), the one you have selected in the image.

f(x) = In (3 - 4x)
What is the domain

Answers

Answer:

Step-by-step explanation:

The domain is the allowed 'x' values that the function can take on without it being undefined. The natural log function is undefined for negative numbers and zero. It can only take on positive inputs. Therefore, we can set up an inequality:

[tex]3-4x > 0[/tex]

Subtrauct 3 on both sides:

[tex]-4x > -3[/tex]

Divide both sides by -4. When you divide an inequality by a negative number, you must switch the sign of the inequality:

[tex]x < 3/4[/tex]

Therefore, our allowed 'x' values is anything less than 3/4:

-∞ < x < 3/4

Find the oils for and the odds against the event rolling a fair die and getting a 3, a 2, a 6, or a 4

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

⇒ 3

Odds for : 1/6Odds against : 5/6

⇒ 2

Odds for : 1/6Odds against : 5/6

⇒ 6

Odds for : 1/6Odds against : 5/6

⇒ 4

Odds for : 1/6Odds against : 5/6

Identify the domain of the following rational expression:
7x
3x+15
O All real numbers except 5.
O All real numbers except 15.
O All real numbers except - 15.
O All real numbers except - 5.

Answers

The domain for the rational expression as given in the task content is; All real numbers except -5.

Domain of Rational functions

The domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.

On this note, the expression is undefined when, 3x + 15 = 0.

Hence, the domain is All real numbers except -5.

Read more on rational functions;

https://brainly.com/question/13763081

What number is 604 less than 6,154?

Answers

Answer:

The answer is 5550

Step-by-step explanation:

Just do

6154- 604=5550

find the slope of the line graphed below.

Answers

Answer: I got 4/7

Step-by-step explanation:

(-3,1)(4,5)[this points from graph btw]

the formula of slop is [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1} }[/tex]

[tex]\frac{5-1}{4-(-3)\\}\\ \\\frac{5-1}{4+3} \\\\=\frac{4}{7}[/tex]

help me find x for both, please?​

Answers

Some General Information:

  ⇒ both triangles are isosceles triangle

    ⇒because two of the angles are equal to each other

       ⇒ which means there are two equal sides that always join at the

           same angle to the base (the third side), and meet directly above    

           the midpoint of the base (I attached a diagram for a better

           explanation)

Question 11:

 ⇒ x and 10 are equal

   ⇒ because their sides join the third side at the base with the same

       angle

       ⇒ so x = 10

Question 12:

 ⇒ '2x + 23' and 7 are equal

   ⇒ because their sides join the third side at the base with the same

       angle

      ⇒ so:

           [tex]2x+23=7\\2x=-16\\x = -8[/tex]

         ⇒ thus x = -8

Hope that helps!

WILL MARK BRAINLIEST PLS HELP!! Given the functions f(x) = x ^ 3 + x ^ 2 - 2x + 3 and g(x) = log (x) + 2 what type of functions are f(x) and g(x) ? Justify your answerWhat key features do f(x) and g(x) have in common ? (Consider domain , range, xintercepts , and y intercepts)

Answers

The functions f(x) and g(x) are different functions.

How to explain the function?

The function f(x) is a cubic function, while the function g(x) is a logarithmic function. The common feature of both functions is their range

The functions are given as:

f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2

This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.

From the attached graph, we have the following features:

Domain: -∞ < x < ∞

Range: -∞ < y < ∞

y-intercept = 3

x - intercepts = -2.37

Function g(x)

Domain: x > 0

Range: -∞ < y < ∞

y - intercept = None

x - intercepts = 0.01

By comparing the key features above, we can conclude that the common features in both functions are their range

Read more about functions at:

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A can of hairspray has a
cylindrical lid with a radius of
2 inches and a height of 2
inches. Find the total surface
area of the lid.

Answers

Answer:

2inches=5.08cm

TSA of cylinder=2πr(r+h)

2×22/7×5.08(5.08+5.08)

6×5.08×10.16

324.42cm^3

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The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
a
OA V = ?
7 x
B.
V=2 / 28
AP
C.
=
3
gard
OD. V-17

Answers

Answer:

B) V= 4/3πr^3

Step-by-step explanation:

The volume of the cone according to the given condition is V = 4πr³/3

What is cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.

Given that the height of a cone is two times its base diameter. we need to find the formula for the volume of cone in terms of base radius,

So, the volume of a cone in general is = π × radius² × height/3

According to the question,

The height is 2x the base diameter, that mean =

h = 2d

Since, d = 2r

So, h = 2(2r)

h = 4r

So the volume according to this condition is =

π × r² × 4r/3

V = π × 4r³/3

V = 4πr³/3

Hence the volume of the cone according to the given condition is V = 4πr³/3

Learn more about cones, click;

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A sample of students is taken from the school's A honor roll. The school
estimates that there are actually 360 students on the A honor roll. Using this
sample, how many students on the A honor roll are 8th graders?

6th: 15
7th: 11
8th: 14

Please help don’t just like the others that don’t really help

Answers

Answer:

Number of 7th Graders= 360 - X

Step-by-step explanation:

As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from &th grade. As we know: Total number of students on the A honor roll = 360 We are asked to calculate, number of students from 7th grade on the A honor roll. So, let's assume that "X" represents the all the students who are on the A honor roll except 7th grade. Mathematical Expression: Number of 7th Graders = Total number of students on the A honor roll - X Number of 7th Graders = 360 - X So, if you know the value of X, you can easily calculate the number of students which are from 7th grade on the A honor roll.

When the bank returns a check for which there is not enough money in the bank to cover it, what do we call the check?
o uncovered
O irresponsible
O bounced
o free

Answers

The answer is bounced

Buddy orders 50 burritos for a conference meeting.
Each burrito costs $5 how much will he spend?
A $316
B $134
C $250
D $562

Answers

We can say we know that 10 burritos cost $50. So then 50 burritos would be, $250, making C you’re answer.

∠A and \angle B∠B are vertical angles. If m\angle A=(7x-6)^{\circ}∠A=(7x−6) ∘ and m\angle B=(8x-27)^{\circ}∠B=(8x−27) ∘ , then find the measure of \angle B∠B.

Answers

Answer: 141 degrees

Step-by-step explanation:

What is 30,182 rounded to the nearest ten thousand?

Answers

Answer:

30,000

Remember the hundreds place rounding rule...

Between 0 to 400? Keep the same, or round down.Between 500 to 900? Round up.

Answer:

30,000

Step-by-step explanation:

the answer is 30,000 because, the three is getting rounded up or down based on the zero behind it. Since there is no way the three can round up because the zero is under five, all the numbers after it shall become a zero. But if it were a decimal, the answer would just be thirty. But the actual answer is 30,000

Question regarding proportions and inference - What is the proportion of tourists who visit Skydeck Willis Tower in Chicago? One hundred fifty tourists visiting Chicago voluntarily filled out a questionnaire. Sixty-three of them indicated that they had visited Skydeck Willis Tower or were planning on doing so. To answer the question above one would calculate:

Question 2 options:

Answers

Answer:

gang

Step-by-step explanation:

ion

Write the answer as a fraction in simplest form?
7 1/2 ÷ 5/6

Answers

Divide 7x2+1 by 5/6 by multiplying 7x2+1 by the reciprocal of 5/6 which would be 6/5, (7x2+1)x6/2x5 cancel o out 2 in both numerator and denominator, 3(1+14)/5 add 1 to 14 to get 15, 3x15/5 multiply 3 and 15 and get 45, divide 45/5 to get 9

find the missing length​

Answers

Answer:

Step-by-step explanation:

WHICH IS THE CORRECT ANSWER? GIVING BRAINLIEST

Answers

Answer:

29.7 cm

Step-by-step explanation:

Since A and B are related by a scale of 3:1 then :

3 × (hypotenuse of A) = (hypotenuse of B)

then

(hypotenuse of A) = (hypotenuse of B)/3

                              = 89/3

                              = 29.7

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