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Vladimir [108]
3 years ago
10

Southside is purchasing new materials for the school. The school has $1600 to spend on desks and a vending machine. The desks co

st $15 each
and the vending machine costs $450.
Create an inequality that represents the amount of money Southside can spend if d desks are purchased.
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

15d + 450 \leq 1600

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Select all the expressions that are equivalent to 10x + 4 - (6x - 1)
Travka [436]

Answer:

4x + 5

Step-by-step explanation:

10x + 4 - 6x + 1

= 4x + 5

3 0
3 years ago
Solve the linear equation by combining like terms: 23 + 7 - 2x = 8x
Aleks [24]

Answer:

23+7-2x=8x

We simplify the equation to the form, which is simple to understand  

23+7-2x=8x

We move all terms containing x to the left and all other terms to the right.  

-2x-8x=-23-7

We simplify left and right side of the equation.  

-10x=-30

We divide both sides of the equation by -10 to get x.  

x=3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the
Degger [83]

Using the normal distribution, we have that:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).
  • 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
  • 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the parameters are given as follows:

\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358

Hence:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).

The probabilities are the <u>p-value of Z when X = 58 subtracted by the p-value of Z when X = 55</u>, hence, for a single movie:

X = 58:

Z = \frac{X - \mu}{\sigma}

Z = \frac{58 - 57}{22}

Z = 0.05.

Z = 0.05 has a p-value of 0.5199.

X = 55:

Z = \frac{X - \mu}{\sigma}

Z = \frac{55 - 57}{22}

Z = -0.1.

Z = -0.1 has a p-value of 0.4602.

0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

For the sample of 17 movies, we have that:

X = 58:

Z = \frac{X - \mu}{s}

Z = \frac{58 - 57}{5.3358}

Z = 0.19.

Z = 0.19 has a p-value of 0.5753.

X = 55:

Z = \frac{X - \mu}{s}

Z = \frac{55 - 57}{5.3358}

Z = -0.38.

Z = -0.38 has a p-value of 0.3520.

0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
2 years ago
Which choice is the solution for this system ? 2x − 5y = 14 x + 3 2 y = 5
VashaNatasha [74]

Answer:

The required solution is (5.75,-0.5). It can be written as (\frac{11}{4},-\frac{1}{2}).

Step-by-step explanation:

The given equations are

2x-5y=14                       .... (1)

x+\frac{3}{2}y=5            .... (2)

Multiply the equation (2) by 2.

2x+3y=10                     .... (3)

Subtract equation (1) from equation (3).

2x+3y-(2x-5y)=10-14

2x+3y-2x+5y=-4

8y=-4

y=-\frac{1}{2}=-0.5

Put this value in equation (1).

2x-5(-0.5)=14

2x+2.5=14

2x=11.5

x=5.75

Therefore the required solution is (5.75,-0.5). It can be written as (\frac{11}{4},-\frac{1}{2}).

3 0
3 years ago
What are the answers I need help I tried and I am stuck HELP ME PLEASE!!! I Will Give Brainliest!!
Mice21 [21]

Answers: 11-20

Step-by-step explanation: Step 1. Flip the equation Step 2. Add the number to both sides Step 3. Divide both sides by the number to get your answer.

1. v=10 2. m=7 3. r=-9 4. k=9 5. r=0 6. x=10 7. x=6 8. 9=3 9. m=-10 10. n=-10

11.p=0

12.x=10

13.b=4

14.n=0

15.p=2

16.x=8

17.m=8

18.x=3

19.n=-1

20.n=9

4 0
3 years ago
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