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3 years ago

Michael can type 4 pages of his term paper in 30 minutes. How long will it take him to type the paper if it has 14 pages?

Mathematics

1 answer:

Stella [2.4K]3 years ago

8 0

Answer:

105 minutes

Step-by-step explanation:

we know that

Michael can type 4 pages of his term paper in 30 minutes

using proportion

Find out how long will it take him to type the paper if it has 14 pages

$\frac{30}{4}\frac{min}{pages}=\frac{x}{14}\frac{min}{pages}\\\\x=30*14/4\\ \\x=105\ min$

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To be considered for pilot school, 12 students took a spatial reasoning test that resulted in this list of scores. Find the valu

lord [1]

Answer:

the 90th percentile is 145

Step-by-step explanation:

Data provided:

152 121 130 143 122 101 137 98 138 127 145 117

Number of students considered, n = 12

To find:

90th percentile

Now,

Step 1 : Arrange the data in ascending order

98, 101, 117, 121, 122, 127, 130, 137, 138, 143, 145, 152

Step 2 : Compute the position of the 90th percentile

position of the 90th percentile, i = (90% × n)

Thus,

i = 0.90 × 12

i = 10.8

Now,

Step 3 : Since, the index i is not an integer, round up to the nearest integer

i.e i = 11

Therefore,

The 90th percentile is the value in 11th position,

i.e 145

7 0

2 years ago

Write an equation to represent the relationship found in the table

PilotLPTM [1.2K]

Answer:

15= 5x+ 2

Step-by-step explanation:

y= mx+b

y is the intercept,

8 0

2 years ago

PLZZ ANSWER

IgorC [24]

Answer:

5/143

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Find the perimeter of rectangle PQRS with vertices P(0,0), Q(0,7), R(12,7) & S (12,0).

Andrews [41]

Check the picture below.

you can pretty much just count the units off the grid.

the perimeter is the length of all sides summed up.

7 0

3 years ago

MANUFACTURING

Margaret [11]

Answer:

Total cost is $205328

Step-by-step explanation:

Given data:

cost C(q) = 0.1 q^3 - 0.5 q^2 + 500 q + 200

current units q = 4 ( 4000 units )

The current level of production is 4000 ( 4 )units, and manufacturer is planning to upgrade this to 4100 ( 4.1 ) units

C'(q) = 3 * 0.1 q^2 - 2 * 0.5 q + 500

C'(q) = 0.3 q2 - q + 500

C(4.1) - C(4) ≈ C’(4) x Δq

≈ C’(4) x 0.1

≈ ( 0.3 * 4^2 - 4 + 500 ) x 0.1

≈ ( 0.3 * 16 - 4 + 500 ) x 0.1

≈ 500.8 x 0.1 ≈ 50.08

total cost = 4100 x 50.08 = $205328

3 0

3 years ago