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Ilya [14]
2 years ago
7

15 masons can renovate a hall in 20 days. How many masons will renovate the hall in 12 days?.

Mathematics
1 answer:
Nastasia [14]2 years ago
5 0

Answer:

9

Step-by-step explanation:

Use rule of three

15 => 20

x => 12

x=\frac{12*15}{20}

x = 9

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A waitress believes the distribution of her tips has a model that is slightly skewed to the left​, with a mean of ​$8.30 and a s
kondaur [170]

Answer:

probability = 0.9286

Step-by-step explanation:

given data

mean = ​$8.30

standard deviation = ​$4.70

waits parties over a weekend of work =  60

solution

when we earn at least $550 in 60 parties

so average per party will be x = \frac{550}{60}

average x = 9.1667

so  now we get here z value that is

z = \frac{x-\mu }{\sigma }     ...............1

put here value and we get

z =  \frac{9.1667-8.30}{4.70}  

z = 0.184404

so  

P(x>9.1667) = P(z>0.184404)

use standard normal table

probability = 1 - 0.0714 = 0.9286

8 0
3 years ago
The graph below shows data that was collected from a person's commute to work over the course of one month. The equation of the
Mariulka [41]
The speed of the commute would be approximately 34.166 repeating.
3 0
3 years ago
Line t intersects the line given by y=4x-2 at the point (4,14) to form a right angle. Which is the equation of line t
Aliun [14]

Answer:

y = -1/4 x + 15.

Step-by-step explanation:

y = 4x - 2 has a slope of 4 ( = the coefficient of x).

The line  at right angles to it will therefore of a slope of -1/4.

Using the point-slope form of a line the line t which passes through (4, 14) is found as follows:

y - 14 = -1/4(x - 4)

y = -1/4x + 1 + 14

y = -1/4x + 15

4 0
4 years ago
Find the x-intercept of 2x+2y=2
Nana76 [90]

Answer:

x-intercept: <u>(1,0)</u>

y-intercept: <u>(0,1)</u>

Step-by-step explanation:

Given: Find the x and y intercepts of 2x + 2y = 2

<h2><u>X-intercept</u></h2>

To solve for a x - intercept we have to substitue 0 in for y and solve for x

Lets do it:

2x + 2(0) = 2

2x + 0 = 2

2x = 2

x = 1

Therefore, this means that when y = 0, x = 1 or (1,0)

<h2><u>Y-intercept</u></h2>

To solve for a y - intercept we have to substitue 0 in for x and solve for y

Lets do it:

2(0) + 2y = 2

0 + 2y = 2

2y = 2

y = 1

Therefore, this means that when x = 0, y = 1 or (0,1)

3 0
2 years ago
Suppose that $12,724 is invested at an interest rate of 6.1% per year, compounded continuously. Find the exponential function th
olchik [2.2K]

Answer:

Exponential Function: A= P* e ^ {0.061t}

Balance after

t=1 $ 13,524.32

t=2 $ 14,374.99

t=5 $ 17,261.69

t=10 $ 23,417.64

Step-by-step explanation:

Formula used to find amount in the account after time t, given the interest rate is compounded continuously

A= Pe^r^t

where: P= principal amount or amount invested

r= interest rate

t= time

A= amount after time t

in our question we are given:

P=$12,724

r= 6.1% or 0.061

A= 12724 * e ^ (^0^.^0^6^1^)^t

The above equation is exponential function that describes the amount in the account after time t in years

Now, for t = 1

A= 12724 * e ^ {0.061 * 1}

A= $ 13,524.32

t=2

A= 12724 * e ^ {0.061 * 2}

A= $ 14,374.99

t= 5

A= 12724 * e ^ {0.061 * 5}

A= $ 17,261.69

t=10

A= 12724 * e ^ {0.061 * 10}

A= $ 23,417.64

7 0
4 years ago
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