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Alisiya [41]
2 years ago
7

What value of x makes the equation −2x−(−5−4x)=−5(2x−7) true?

Mathematics
1 answer:
Anestetic [448]2 years ago
3 0

Answer:

-2x - (-5 - 4x) = -5(2x - 7)

-2x + 5 - 4x = -5 * 2x - 5 * (-7)  

-6x + 5 = -10x - 35

-6x + 5 + 10x = -10x - 35 + 10x

4x + 5 = -35

4x + 5 - 5 = -35 - 5

4x = -40

4x/4 = -40/4

x = 10  

Step-by-step explanation:

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A grocery store chain has been tracking data on the number of shoppers that use coupons. the data shows that 71% of all shoppers
sashaice [31]

The confidence interval comes out to be (0.685,0.735).

Calculating the Confidence Level and Other Terms

The confidence level can be calculated as follows,

z = \frac{36}{40} * 100%%  

z = 90 %

The margin error is given as, E= 0.025

The p value in this case is 0.71

Calculating the Confidence Interval

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

Confidence interval can be obtained by using the following formula,

(p-E, p+E) = (0.71-0.025, 0.71+0.025).

Therefore, the confidence interval is (0.685, 0.735).

Learn more about confidence interval here:

brainly.com/question/24131141

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3 0
2 years ago
There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop
wlad13 [49]

Answer:

Probability that the person doesn't use any facility = 0.0889

Step-by-step explanation:

Total number of people in a sports center = 135

Number of people using gym 'G' = 73

Number of people using swimming pool 'P' = 59

Number of people using track 'T' = 31

Number of people using gym and pool (G∩P) = 19

Number of people using pool and track (P∩T) = 9

Number of people using gym and track (G∩T) = 16

Number of people using all three facilities (G∩P∩T) = 4

Therefore, from the rule of compound probability,

P(GUPUT) = P(G) + P(P) + P(T) - P(G∩P) - P(G∩T) - P(P∩T) + p(G∩P∩T)

We know probability of an event = \frac{\text{Favorable event}}{\text{Total outcomes}}

We will plug in the values of probabilities of each event in the formula.

P(GUPUT) = \frac{73}{135}+\frac{59}{135}+\frac{31}{135}-\frac{19}{135}-\frac{9}{135}-\frac{16}{135}+\frac{4}{135}

                 = \frac{1}{135}(73+59+31-19-9-16+4)

                 = \frac{123}{135}

And probability that a person doesn't use any facility = 1 - P(GUPUT)

= 1 - \frac{123}{135}

= \frac{135-123}{135}

= \frac{12}{135}

= \frac{4}{45} ≈ 0.0889

7 0
3 years ago
Read 2 more answers
How do you solve this problem
Vikentia [17]
Get the app called Photomath. It should help with this:)
7 0
3 years ago
The perimeter of a rectangle is 60 meters.if the length of the rectangle is 14 meters.what is the width of the rectangle?
quester [9]
Hello!

We know that the formula for perimeter of a rectangle is:

P = 2l + 2w

We've been given enough information to solve this question!

The perimeter of the rectangle is 60 metres, and the its length is 14 meters long.

We must multiply the length by 2 and then subtract it from the perimeter to find the width.

W = P - 2l

W = 60 - 2(14)

W = 32

Therefore, the width of the rectangle is 32 metres long.
6 0
3 years ago
Find the median of the data. 12,33,18,28,29,12,17,4,2
arsen [322]

Answer:

Step-by-step explanation:

2, 4, 12, 12, 17, 18, 28, 29, 33

(17+18)/2

35/2= 17.5 is the median

6 0
3 years ago
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