Answer:
The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes
Step-by-step explanation:
The average time it takes to manufacture a pair of shoes = 21 minutes;
The standard deviation = 3 minutes
To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;
Standard score, given as follows;
Where;
x = The raw score = 27 minutes
μ = The average score = 21 minutes
σ = The standard deviation = 3 minutes
From which we have;
Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275
Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.
85%= 85/100
85/100=17/20
Divide top and bottom by 5 to get 17/20
Answer:
469
Step-by-step explanation:
What you need to do is divide 335 by 5 to see how many miles are in one hour. You'll get 67. Then you can multiply 67 by 7 to get an answer of 469.
9*25
225=$2.25
$2.25+7*10
295=$2.95
$2.95+5*5
$3.20
Jack does not have enough money to buy a box of crayons
Answer:
0.44 ft/sec.
Step-by-step explanation:
Let A is the bottom of the ladder and AB is the distance from the bottom of the wall i.e. B is the bottom of the wall. If C is the top of the ladder and BC is the height of the wall.
Now, Δ ABC is a right triangle and AC is the length of the ladder i.e. hypotenuse.
Now, AC² = AB² + BC² {From Pythagoras Theorem}
Now, differentiating both sides with respect to time t, we get
⇒ 
Now, given that 
feet/sec.
Hence, 
......... (1)
Now, given that AB = 9 ft. and AC = 15 ft.
So, 15² = 9² + BC²
⇒ BC² = 144
⇒ BC = 12 feet.
Now, from equation (1), we get
Therefore, the bottom of the ladder is sliding away from the wall at the rate of 0.44 ft/sec. (Answer)
