You take 35 divided by 7 which is 5. 5 an hour and multiply it by 35
35
05
——
Answer: $7.14
Step-by-step explanation: I multiplied 10.99 by .35 and got 3.8465, then subtracted that from 10.99
Answer:
129 square foot
Step-by-step explanation:
<u>Step 1: Convert height of the door to inches</u>
Height of the door = 10 feet 8 inches
1 feet = 12 inches
10 feet = y inches
<em>Cross Multiply</em>
y = 120 inches
Height of door in inches = 120 + 8 =128 inches
<u>Step 2: Find the surface area of one side of the door</u>
Surface area = length x width
length = 128 inches
width = 145 inches
Surface area = 128 x 145
Surface area = 18560 inches
<u>Step 3: Convert surface area from inches to square foot</u>
Surface area = 18560 inches
1 square foot = 144 inches
y = 18560 inches
<em>Cross multiply</em>
144y = 18560
y = 18560/144
y = 128.89 rounded off to 129 square foot.
Therefore, you should report 129 square foot surface area to the hardware store.
!!
Answer:
The probability that a random sample of n = 5 specimens will have a sample values that falls in the interval from 2499 psi to 2510 psi = P(2499 < x < 2510) = 0.192
Step-by-step explanation:
For the population,
μ = 2500 psi and σ = 50 psi
But for a sample of n = 5
μₓ = μ = 2500 psi
σₓ = σ/√n = (50/√5)
σₓ = 22.36 psi
So, probability that the value for the sample falls between 2499 psi to 2510 psi
P(2499 < x < 2510)
We normalize/standardize these values firstly,
The standardized score for any value is the value minus the mean then divided by the standard deviation.
For 2499 psi
z = (x - μ)/σ = (2499 - 2500)/22.36 = - 0.045
For 2510 psi
z = (x - μ)/σ = (2510 - 2500)/22.36 = 0.45
To determine the probability the value for the sample falls between 2499 psi to 2510 psi
P(2499 < x < 2510) = P(-0.045 < z < 0.45)
We'll use data from the normal probability table for these probabilities
P(2499 < x < 2510) = P(-0.045 < z < 0.45) = P(z < 0.45) - P(z < -0.045) = 0.674 - 0.482 = 0.192
<span>
<u><em>The correct answer is: </em></u>green and blue.
<u><em>Explanation</em></u><span>
<u><em>: </em></u>We want to see which fractions </span></span>
is a multiple of. We know that
is a multiple of
, because
*3=
.
We can divide fractions to determine if
is a multiple of
:
;
in order to divide fractions, flip the second one and multiply:
)*
=
=1
.
This did not divide evenly, so
is not a multiple of 1/2.
Checking to see if
is a multiple of
,
;
flip the second one and multiply:
*
=
=6.
This divided evenly, so
is a multiple of
.
