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timurjin [86]
4 years ago
8

There are 8 88 employees on The Game Shop's sales team. Last month, they sold a total of g gg games. One of the sales team membe

rs, Chris, sold 17 1717 fewer games than what the team averaged per employee. How many games did Chris sell? Write your answer as an expression
Mathematics
1 answer:
Mekhanik [1.2K]4 years ago
7 0

Answer:

The number of games sold by Chris  = (\frac{g}{8}  - 17)

Step-by-step explanation:

The total number of employees in the team = 8

The total number of games sold by the whole team = g

The number of games sold by Chris = Average Games sold by each member - 17

Now, \textrm{Average number of games sold by each}  = \frac{\textrm{Total number of games sold by team}}{\textrm{Total number of people in team}}\\

=\frac{g}{8}

⇒The average number of games sold by each of the team member = g/8

Hence, the number of games sold by Chris  = (\frac{g}{8}  - 17)

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Radius and diame
makvit [3.9K]

Answer:

d = 4 units

Step-by-step explanation:

The diameter is twice the radius

d = 2r

d = 2(2)

d = 4 units

5 0
3 years ago
As concrete dries, it shrinks—the higher the water content, the greater the shrinkage. If a concrete beam has a water content of
Flauer [41]
A.) Here, w = 550kg/m^3.
Therefore, S = (0.032(550) - 2.5)/10000 = 0.00151

After drying, the beam will be (1 - 0.00151) x 12.027 = 12.009


b.) 0.0012 = (0.032w - 2.5)/10000
0.032w - 2.5 = 12
0.032w = 12 + 2.5 = 14.5
w = 14.5/0.032 = 453 kg/m^3
Therefore, the required water content is 453 kg/m^3

3 0
3 years ago
The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle.
Shalnov [3]

Answer:

The width is 4.5, and the length is 7.5.

Step-by-step explanation:

We know that the perimeter is 24 cm, and the length is 3 cm greater than the width. We know that the perimeter = l*w. This info gives us an equation:

24 = (x + 3)*2 + x * 2. The 24 is the perimeter, and x is the width, so l is x + 3. Now we just have to solve for x.

24 = (x + 3)*2 + x * 2 | Simplify the Parenthesis

24 = 2x + 6 + x * 2 | Subtract 6 from both sides

18 = 2x + x * 2 | x * 2 is 2x

18 = 2x + 2x | 2x + 2x = 4x

18 = 4x | Now we divide by 4

4.5 = x. This mean the width is 4.5, and the length is 4.5 + 3, or 7.5. We can plug these into the original formula to confirm.

24 = 7.5*2 + 4.5*2, 24 = 15 + 9, 24 = 24.

6 0
3 years ago
Now use technology and use the cumulative probability​ 0.95, the mean muequals10.5​, and the standard deviation sigmaequals4.10
makvit [3.9K]

Answer:

18.5

Step-by-step explanation:

In the above question, we are given the following values

Cumulative probability ( confidence interval) = 0.95 = 95%

Mean = 10.5

Standard deviation = 4.10

We are asked to find the value of x.

To solve for x , we would be using the z score formula.

z score = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z score was not given in the question, but we have our cumulative probability as 95%(0.95).

Using the appropriate table,

the z score for 95% confidence is z = 1.96.

Therefore,

z score = (x-μ)/σ,

1.96 = x - 10.5/4.10

Cross multiply

1.96×4.10 = x - 10.5

x = (1.96 × 4.10) + 10.5

x = 8.036 + 10.5

x = 18.536

Approximately to 1 decimal place

x = 18.5

4 0
3 years ago
Which of the following numbers is between 3/5 and 5/7
Vsevolod [243]

Numbers 8/9 and 47/70 are between 3/5 and 5/7

Step-by-step explanation:

  • Step 1: Find the equivalent decimal expressions of all the given fractions to find which ones are between 3/5 and 5/7

3/5 = 0.6 and 5/7 = 0.71

Option 1 ⇒ 1/2 = 0.5

Option 2 ⇒ 3/7 = 0.43

Option 3 ⇒ 8/9 = 0.89

Option 4 ⇒ 19/35 = 0.54

Option 5 ⇒ 47/70 = 0.67

∴ 8/9 and 47/70 lies between 3/5 and 5/7

5 0
3 years ago
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