if the average of x and y is 11 and the average of x, y and z is 5, what is the value of z? ​

Answers

Answer 1

Answer:

z = -17

Step-by-step explanation:

If the average of x and y is 11, then;

x+y/2 = 11

x+y = 2 + 11

x+y = 22 .... 1

similarly, if average of x, y and z is 5, then;

x+y+z/3 = 5

x+y+z = 3*5

x+y+z = 15

Since x+y = 22

22 + z = 5

z  = 5 - 22

z = -17

Hence the value of z is -17


Related Questions

helppppp meeeeee the sum of the squares of three consecutive integer numbers is 1454. Find the numbers. but i found 21 22 and 23. you need to find the other set plzzz​

Answers

Step-by-step explanation:

A=x

B=x+1

C=x+2

[tex] {x}^{2} + {(x + 1)}^{2} + {(x + 2)}^{2} = 1454 \\ {x}^{2} + {x}^{2} + 2x + 1 + {x}^{2} + 4x + 4 = 1454 \\ 3{x}^{2} + 6x + 5 - 1454 = 0 \\ 3 {x}^{2} + 6x - 1449 = 0 \\ {x}^{2} + 2x - 483 = 0 [/tex]

I'm sorry but I can't use the calculator, I hope this helps you anyway.

Answer:

The two sets would be 21,22,23 and -21, -22, and -23

Step-by-step explanation:

This is because a negative number squared would be positive.

So -21^2+-22^2+-23^2 would equal the same as 21^2+22^2+23^2 which would be 1454.

how dizxhdklhjs'klz/'cljkdshkjl dk jkjslkn sdkjnkl jddddkls kl'lk jl

Answers

Answer:

what's that (✷‿✷)

shsyhwvqqhsidjsbshsb

What is a correct definition of P-value?

Answers

p-value is a measure of the probability that an observed difference could have occurred just by random chance.

Here are the lowest temperatures recorded in the last 2 centuries for two US cities. How many more degrees colder is the record temperature for GA than FL?

Answers

Answer:

What are the temperatures

can you help me find the value of each shape plz

Answers

Answer:

Star = 10Square = 4Circle = 1

Step-by-step explanation:

Hope it helps you!

What is 4.6m2 in cm2 ?​

Answers

Answer:

4.6

Step-by-step explanation:

There are 396 students who are enrolled in an introductory biology course. If there are five boys to every four girls, how many boys are in the course?

Answers

Answer:

There are 220 boys in the course.

Step-by-step explanation:

If we group the five boys and four girls together, there would be 44 (396/9) groups of nine people. Since there are five boys in every group, you would do 44*5 which is 220.

Answer:

220 boys

Step-by-step explanation:

boys:girls

5:4

396 total

(5x44)+(4x44)=396

220+176=396

220 boys

Please help me with this

Answers

You can down this


Http/b263849

Find the area of the figure, in square meters, to 1 decimal place.

Answers

Answer:

Where is the picture of the figure

Step-by-step explanation:

Sandy picked ½ of a bucket of plums, and Sally picked ½ of a bucket of plums. Sandy ate ⅓ of the pickings. How many buckets total did they pick?

Answers

Answer:

1 whole bucket

Step-by-step explanation:

Ahmed invests $4000 in two different accounts. The first account paid 10 %, the second account paid 9% in
interest. At the end of the first year he had earned $370 in interest. How much was in each account?

Answers

Answer: 3000$ in 9% account

Step-by-step explanation: sums in accounts are x and (4000-x)

Interests are 0.09x and 0.10(4000-x) = 400-0.1x

Now you get 0.09x -0.1x + 400 = 370

Then -0.01x = -30 and x= 3000

An angle measures 88° less than the measure of its complementary angle. What is the measure of each angle? (please see the screen shot i need 2 answers)

Answers

Answer:

1° and 89°

Step-by-step explanation:

(x + 88°) + x = 90°

2x + 88 = 90

2x = 2

x = 1°

Evaluate the expression 4+√−9 and write the result in the form a+bi

Answers

Answer:

4 + 3i

Step-by-step explanation:

i = sqrt(-1)

sqrt(-9) = 3 * sqrt(-1) = 3i

The 4 remains the same

4 + 3i

Answer:

Step-by-step explanation:

4+√(-9) = 4 + √9√(-1)

= 4 + 3i

uurihghgihy5thpi 20 points!!! PLEASE HELP

Answers

Answer: I only see 10 points

Step-by-step explanation:

When Vondel Bradshaw checked his credit card statement, he found that a sales
slip dated 3/2 for $12.49 was posted as $12.99. He also found that a purchase
for $56.29 dated 2/19 was unauthorized. If the new balance on the statement
was $491.23, what is the correct new balance?

Answers

Answer:  $548.02

Step-by-step explanation:

Correct for inaccurate postings...

add the $0.50 overcharge and the $56.29 unauthorized charge from $491.23

491.23+.50+56.29=548.02

PLEASE HELP WILL MARK BRAINIEST! Asap

Answers

Answer:

n=8

Step-by-step explanation:

It’s a special 30-60-90 triangle, so n=8.

Answer:

54 Ok?

Step-by-step explanation: Thats what i got

2. State whether the number 21 is a perfect square, a perfect cube, or neither.
a. perfect square
b. neither
c. perfect cube

Answers

Answer:

B, neither

Step-by-step explanation:

21 is not a perfect square or perfect cube.

Nicole is solving the equation and realizes there's a mistake.
A) Determine the mistake
B) Determine the correct answer.
- 2x -4>8
-2x - 4+4>8+4
-2x >12
- 2x/2 > 12 /2
x>-6

Answers

Answer:

She forgot to multiply both sides by -1 and reverse the inequality. She also didn't flip the signs.

Step-by-step explanation:

- 2x -4>8

-2x - 4+4>8+4

-2x >12

(-2x)(-1)<12(-1)

2x<-12

2x/2<-12/2

x<-6

Hope this helped!!!

Dk Metcalf is my son​

Answers

Answer:

Dad, is that you?

Step-by-step explanation:

that’s... interesting lol

A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a a standard
deviation of 7c. Three of the restaurants charge 95¢, 1.00, and $1.35. Determine the z-value for each restaurant.

Answers

Answer:

For the restaurant that charges 95 cents, the z-score is -4.29.

For the restaurant that charges $1, the z-score is -3.57.

For the restaurant that charges $1.35, the z-score is 1.43

Step-by-step explanation:

Z-score:

In a set 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]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.

This means that [tex]\mu = 1.25, \sigma = 0.07[/tex]

Restaurant that charges 95 cents:

The z-score is found when X = 0.95. So

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

[tex]Z = \frac{0.95 - 1.25}{0.07}[/tex]

[tex]Z = -4.29[/tex]

For the restaurant that charges 95 cents, the z-score is -4.29.

Restaurant that charges $1:.

X = 1

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

[tex]Z = \frac{1 - 1.25}{0.07}[/tex]

[tex]Z = -3.57[/tex]

For the restaurant that charges $1, the z-score is -3.57.

Restaurant that charges $1.35:

X = 1.35

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

[tex]Z = \frac{1.35 - 1.25}{0.07}[/tex]

[tex]Z = 1.43[/tex]

For the restaurant that charges $1.35, the z-score is 1.43

The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales
by size and color for 400 notebooks. What is the experimental probability that the next customer buys a
red notebook with 150 pages? Enter your answer as a simplified fraction.
100 Pages
150 Pages
200 Pages
Red
51
66
25
Green
38
48
19
Blue
22
55
25
Yellow
17
23
11
The experimental probability is

Answers

Answer:

66/400

Step-by-step explanation:

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

Answer:

1:[tex]\sqrt{3}[/tex];2

Step-by-step explanation:

those are the side length ratios

Answer:

1:√3:2

Step-by-step explanation:

Brainliest please

PLZ HELP
1
9 in.
ALGEBRA
5 in.
15 in.
What is the volume of the shoebox shown above in cubic
inches (in.3)?
29
75
675
510

Answers

Answer:

675 in³

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( lis length, b is breadth and h the height )

Here l = 15, b = 5 and h = 9 , then

V = 15 × 5 × 9 = 675 in³

Please help me on this I beg you!

Answers

Answer:

c) 35

Step-by-step explanation:

The total number of beads is 40. If we take 7/8 of it it would be:

7/8*40=35 beads

H varies directly as L. If H = 30 when L=60, determine H when L= 40.
a) Write the variation equation.
b) Determine the value of the quantity indicated.
a) Choose the correct answer below.
O A. H=L
k.
O B. L=
H
O C. H=kL
w
k k
OD. H=*
b) H= |(Type an integer or a decimal.)

Answers

Answer:

i) The variation equation     H =  k L

ii) The value of H = 20

iii) C)  H = k L

Step-by-step explanation:

Step(i):-

Given that H varies directly as L

                    H ∝ L

                   H =  k L

Given that H =30 and L = 60

          ⇒   30 = k (60)

            [tex]k = \frac{30}{60} = \frac{1}{2}[/tex]

Step(ii):-

Given that L = 40

The variation of the equation = H = k L ...(i)

 put L = 40 in equation (i)

 [tex]H = \frac{1}{2} X 40 = 20[/tex]

please help me i really need help please please really really need help please

Answers

Answer:

26.5

Step-by-step explanation:

I rounded it up. Basically use pythagorean theorem.

14. A researcher wants to know if the average price of a home in Salt Lake City is higher than the average home in the entire United States. If you know that the average home price in Salt Lake City is $450,000 and the average home price in the entire country is $425,000, please conduct the appropriate test to see if Salt Lake City is more expensive under the following two conditions: (make sure to state which test you are using - they should be different, your null and alternative hypotheses, your a level, the critical score for that test, your statistical conclusion based on the observed statistic, and the meaning of your statistical conclusion in words) a. when you are given the actual standard error of the entire population of the country to be $30,000. (25 points) b. when you are given the estimated population standard deviation of homes in Los Angeles to be $30,000 for 360,000 homes (25 points)​

Answers

Answer:

25000

Step-by-step explanation:

bc the proof is solid

100 people in a sports centre are surveyed. 36 regularly use the fitness suite and the swimming pool. 57 use the fitness suite. 49 use the swimming pool. Complete the Venn diagram​

Answers

There’s 36 that use both so put that in the middle. The TOTAL amount of people using the fitness suite is 57 so to find just that side you subtract 36 from 57 to get 21. Same thing with 49 and you get 13. Add all of them up and you get 70. 100-70=30. 30 people use neither so they go outside of the circles :)

Hi I need some help with this you you guys can help me

Answers

Answer:

Surface area of cube = 504.84 cm²

Step-by-step explanation:

Given:

Sum of all sides = 110.4 cm

Find:

Surface area of cube

Computation:

Sum of all sides = Perimeter of cube

Perimeter of cube = 12 x side

12 x side = 110.4

Side = 110.4 / 12

Side = 9.2 cm

Surface area of cube = 6 x Side²

Surface area of cube = 6 x 9.2²

Surface area of cube = 6 x 84.64

Surface area of cube = 504.84 cm²

Rewrite the following sentence in the passive voice:
The people of Zanzibar extended a warm welcome to the tourists.​

Answers

Answer:

When the tourists came, the people of Zanzibar extended a warm welcome.​

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