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Karolina [17]
3 years ago
7

Leo wants to paint a mural that covers a wall of an area of 600 square feet. The height of the wall is 2/3 of its lengtht. What

is the lenght and the height of the wall?
Mathematics
1 answer:
Nikitich [7]3 years ago
6 0
Length is 30 feet and height is 20 feet.
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Use the Distributive Property to solve the equation. 2x−4​(x−3​)=−8+5x-8
andrew11 [14]

Answer:

x = 4

Step-by-step explanation:

Distributive Property: a(b + c) = (a*b) + (a*c)

           2x - 4(x - 3) = -8 + 5x - 8

2x + x * (-4) - 3*(-4) = -8 + 5x - 8

          2x - 4x + 12  = -8 + 5x - 8    

   2x -  4x - 5x + 12 = -8 - 8

               -7x  + 12  = -16

                       -7x  = -16  -12

                      -7x   = -28

                          x = -28/-7

x = 4

           

7 0
3 years ago
Read 2 more answers
HELP ALERT ALERT MATH PROBLEM
Lisa [10]
Multiple 15 by 6, the answer is 90 square cm
7 0
3 years ago
Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand
viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.          

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

H_{0}: \mu = 20\\H_A: \mu < 20

We use One-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0
4 years ago
an auto transport truck holds 12 cars. A car dealer plans to bring in 1150 new cars in June and July. If an auto transport truck
marusya05 [52]

Answer: 96 truckloads, 95 will be full, the last on will have 10 cars


Step-by-step explanation:  1150/12= 95.888> 95*12=1140, 1140+10=1150


6 0
3 years ago
A company makes 140 bags.
Igoryamba

Answer: 41/75 or 54.67%

Step-by-step explanation:

Buttons --- yes,  zips --- yes = 45  (compute as 150 - 37 - 45 - 23)

Buttons --- yes,  zips --- no  = 37

Buttons --- no, zips --- yes = 45

Buttons --- no, zips --- no = 23

Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75

7 0
3 years ago
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