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RSB [31]
2 years ago
9

100 points and brainiest if correct:

Mathematics
1 answer:
Sophie [7]2 years ago
7 0

Answer: Add 5 to both sides

What is the first step needed to solve 4 over 7 the whole multiplied by x minus 5 equal negative 13?

Answer- Add 5 to both sides

(4/7)x - 5 = -13

• As mentioned above, first step would be,

adding 5 to both sides

=> (4/7)x - 5 + 5 = -13 + 5

=> (4/7)x = -8

• Now, transporting 7 from L.H.S. to R.H.S

=> 4x = -8 × 7

=> 4x = -56

• Now in the same way, transporting 4 from L.H.S. to R.H.S

=> x = (-56/4)

=> x = -14

• And in this way, or taking<u> (Add 5 to both sides)</u> as our first step, we find that the value of x is -14.

<u>∴ </u><u> </u><u>x = -14</u>

Hope it helps.

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Out of 1,500 licensed drivers, 900 admitted that they do not like to drive at night. What is the 92% confidence interval for the
Lynna [10]

The confidence interval for the mean population of drivers who do not like driving at night is 57.79% - 62.21%.

<h3><u>Confidence interval</u></h3>

To determine what is the 92% confidence interval for the population mean of drivers that do not like driving at night, the following calculation must be performed:

  • 1500 = 100
  • 900 =X
  • 900 x 100 / 1500 = X
  • 60 = X
  • 60 x 0.92 = 55.2
  • 60 x 1.08 = 64.8

Therefore, the confidence interval for the mean population of drivers who do not like driving at night is 57.79% - 62.21%.

Learn more about confidence intervals in brainly.com/question/2396419

3 0
2 years ago
What is the range of the function g(x) = |x - 12| - 2?
PtichkaEL [24]

Step-by-step explanation:

The function is given by

It is an absolute value function which has a v- shaped graph.

The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.

Comparing the given equation with this, we have

h = 12

k = -2

Hence, the vertex would be (12,-2).

Now, the range of the function is the set of y values for which the function is defined.

This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.

Hence, the range would be the all y values greater than or equal to -2.

Hence, the range is given by

8 0
2 years ago
Which expression is the result of factoring the expression below by taking out its greatest common factor? 16x^2-8x=? Choose 1 a
Natasha2012 [34]

Answer:

I think it is A

Step-by-step explanation:

8 0
2 years ago
A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P t = P 0 ⋅ 2 t d
Crazy boy [7]

Answer:

Population of bacteria in culture after 14 hours is 285541.

Step-by-step explanation:

We are given with P_{t} =P_{0}(2)^{\frac{d}{t}}

Here initial population is 41000 , t=5 and d=14

Plug in these values into the formula

P_{14} =41000(2)^{\frac{14}{5} }

Simplify

P_{14}= 41000(2)^{2.8}

     =41000(6.9644)

     =285540.5847...

To the nearest whole number is 285541.

3 0
3 years ago
Three-eighths of the sum of sixteen times a number and twenty-four. How do you set this up?
patriot [66]
If you break it up:

Three-eighths = 3/8

Sixteen times a number, we'll call the unknown number X, so 16X.

Twenty Four = 24

The sum of 16X and 24 = 16X + 24

We want 3/8 of that sum so we put the sum in parenthesis and we get:

Y = 3/8(16X + 24) where Y is the answer youd get if you knew what X was.
7 0
3 years ago
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