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Sholpan [36]
2 years ago
12

Solve for m: -8m + 4 = 52

Mathematics
1 answer:
Virty [35]2 years ago
8 0

Answer:

m = -6

Step-by-step explanation:

-8m + 4 = 52

-8m = 48

-8m/-8 = 48/-8

m = -6

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The company  pays $142.60 for all three people empolyees' wages for one hour of work
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find the width of a rectangular prism if the volume is 165,000 mm , the length is 100 mm, and the height is 55 mm​
TiliK225 [7]
That would be 30 it took me a rlly long time sorry hope it helps
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3 years ago
Let x and y be the input and output of a measurement system, respectively. It is known that their relationship is 2 0.5 x =  .
victus00 [196]

Answer:

At x = 0, Sensitivity = Not defined

At x = 1, Sensitivity = 3.2974

At x = 2, Sensitivity = 2.71825

At x = 5, Sensitivity = 4.8729

At x = 10, Sensitivity = 29.6826

Step-by-step explanation:

We are given the following in the question:

y = 2e^{0.5x}

where y is the output and x is the input of a system.

We define sensitivity as the ration of output to input.

\text{Sensitivity} = \displaystyle\frac{\text{Out-put}}{\text{In-put}} = \frac{y}{x}

At x  = 0

y = 2e^{0.5(0)} = 2\\\\\text{Senstivity} = \displaystyle\frac{2}{0} = \text{N.D}

At x = 1

y = 2e^{0.5(1)} =3.2974\\\\\text{Senstivity} = \displaystyle\frac{3.2974}{1} = 3.2974

At x = 2

y = 2e^{0.5(2)} =5.4365\\\\\text{Senstivity} = \displaystyle\frac{5.4365}{2} = 2.71825

At x = 5

y = 2e^{0.5(5)} =24.3649\\\\\text{Senstivity} = \displaystyle\frac{24.3649}{5} = 4.8729

At x = 10

y = 2e^{0.5(10)} =296.8263\\\\\text{Senstivity} = \displaystyle\frac{296.8263}{10} = 29.6826

3 0
3 years ago
I need help please!!
Leno4ka [110]

Answer:

y = -25x + 170

Step-by-step explanation:

For the graph equation y = ax + b, we have to find a and b.

Pick two points that are on the grid for best accuracy.

e.g., (2,120) and (6,20)

Then a = (20-120)/(6-2) = -25

b is the y coordinate of the line with the y axis: 170

So the formula is:

y = -25x + 170

5 0
3 years ago
A company that makes rock and roll t-shirts has a printing problem that causes the band names to smear on 4% of the t-shirts. Th
rusak2 [61]

Answer:

62.89% probability that there will be smeared names on at most 4 t-shirts

Step-by-step explanation:

For each shirt, there are only two possible outcomes. Either there will be smeared names, or there will not. The probability of there being smeared names on a shirt is independent of other shirts. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

4% of the shirts are smeared:

So p = 0.04

What is the probability, if a sample of 100 t-shirts is checked, there will be smeared names on at most 4 t-shirts?

This is P(X \leq 4) when n = 100. So

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169

P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703

P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450

P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973

P(X = 4) = C_{100,4}.(0.04)^{4}.(0.96)^{96} = 0.1994

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0169 + 0.0703 + 0.1450 + 0.1973 + 0.1994 = 0.6289

62.89% probability that there will be smeared names on at most 4 t-shirts

8 0
3 years ago
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