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amm1812
4 years ago
13

Kale works in a packaging factory that has 900 employees. By the end of each day, they manage to package 3.2 × 105 products. Wha

t is the average amount of products packaged per employee represented in scientific notation? Round so the first factor goes to the tenths place.
A.
0.36 × 103 products
B.
3.6 × 102 products
C.
0.36 × 102 products
D.
3.6 × 103 products
E.
3.6 × 104 products​
Mathematics
2 answers:
lilavasa [31]4 years ago
8 0

Answer:

E.  

3.6 × 104 products​

Step-by-step explanation:

katen-ka-za [31]4 years ago
4 0

Answer:

Option B is the correct answer.

Step-by-step explanation:

Kale works in a packaging factory that has 900 employees.

By the end of each day, they manage to package 3.2 × 10^{5} products.

The average amount of products packaged per employee =

\frac{\text{total packaged products}}{\text{number of employees}}

= \frac{(3.2)(10^{5}) }{900}=(0.00355)(10^{5} )

= 3.6 × 10² products

Option B is the correct answer.

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It’s a function
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2 years ago
In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
elena-14-01-66 [18.8K]

Answer:

a)

y = 0.3035 + 0.0082x

b)

0.6315 mm

c)

x = 23.9634 °C

Step-by-step explanation:

a. Compute the least-squares line for predicting warping from temperature. Round the answers to four decimal places.

We need to find an equation of the form

y = b + mx

where m is the slope and b the Y-intercept.

The slope m can be computed with the formula

\bf m=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)(y_i-\bar y)}{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}

Replacing the values in our formula (we will round at the end of the calculations)

\bf m=\displaystyle\frac{806.94}{98,775}=0.008169476

the Y-intercept b is computed with the formula

\bf b=\bar y-m\bar x

therefore we have

\bf b=0.5188-0.008169476*26.36=0.303452613

and the least-squares line rounded to 4 decimals would be

y = 0.3035 + 0.0082x

b. Predict the warping at a temperature of 40°C. Round the answer to three decimal places.

We simply replace x with 40 to get

y = 0.3035 + 0.0082*40 = 0.6315 mm

c. At what temperature will we predict the warping to be 0.5 mm? Round the answer to two decimal places

Here, we replace y with 0.5 and solve for x

0.5 = 0.3035 + 0.0082x ===> x = (0.5-0.3035)/0.0082 ===>

 

x = 23.9634 °C

6 0
4 years ago
Are the fractions 7/9 and 4/9 like fractions? Explain your
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Answer:

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5 0
3 years ago
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How do you do 1/8 the sum of 23 and 17
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6 0
3 years ago
Read 2 more answers
One number is 2 less than a second number. Twice the second number is 17 less than 5 times the first
gulaghasi [49]
X=y-2
2y=5x-17
Substituting for x into the second equation, we find
2y=5(y-2)-17
2y=5y-10-17
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So x=7
Thus, the two numbers are 7 and 9.
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3 years ago
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