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ahrayia [7]
3 years ago
15

The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation o

f time to insert the bolt is 4.0 minutes and the distribution of time is approximately Normally distributed. For a randomly selected worker, what is the approximate probability the bolt will be inserted in 19 minutes or less
Mathematics
1 answer:
faust18 [17]3 years ago
6 0

Answer:

required probability is 0.8413

Step-by-step explanation: Given mean \mu =15 minutes, standard deviation \sigma =4 seconds, we need to find P\left ( X\leq 19 \right ). Using z score

z=\frac{X-\mu }{\sigma }\\=\frac{19-15}{4}\\=1

So,

P\left ( X\leq 19 \right )\\=P\left ( Z\leq 1 \right )\\=0.8413

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What value of p makes this equation true? 3p − 8 = −23
valkas [14]

Answer:

\boxed{\sf p=-5}

Step-by-step explanation:

\sf  3p - 8 = -23

First, rearrange unknown terms to the left side of the equation:

\sf 3p=-23+8

Add -23 + 8 = -15

\sf 3p=-15

Divide both sides of the equation by the coefficient of variable "3" :

\sf \cfrac{3p}{3} =\cfrac{-15}{3}

Cross out common factor:

\sf p=-5

_______________________________________

3 0
2 years ago
5. What is the principal square root of -25?<br> -5 <br>No Real Number <br>5<br>1/5​
wlad13 [49]

Answer:

no real number

Step-by-step explanation:

no square root of neg. num.

if my anwser helps please mark as brainliest.

5 0
3 years ago
A student has some $1 bills and $5 bills in his wallet. He has a total of 13 bills that are worth $45. How many of each type of
Bogdan [553]

Answer:

8 $5 bills and 5 $1 bills

Step-by-step explanation:

5x8=40, which would be $40

1x5=5, which would be $5

$40+$5=$45

hope this helps! :)

5 0
3 years ago
Read 2 more answers
GUYSSS PLSSS HELP ME WITH THIS QUESTION :))
Mrac [35]

Answer:

17

Step-by-step explanation:

1) if to solve the first inequation, tnen 3x<52; ⇔ x<52/3;

2) if to solve the seconde inequation, then 2x≥24; ⇔ x≥12.

3) according to the items 1 and 2 x∈[12;52/3);

4) the largest prime number is 17.

3 0
2 years ago
If you place a 100-foot ladder against the top of a 96-foot building, how many feet will the bottom of the ladder be from the bo
soldier1979 [14.2K]
X^2+y^2=z^2

x^2+96^2=100^2

x=sqrt(100^2-96^2)

x=28 so the distance from the base of the ladder and the base of the ladder is 28ft.

Hope this helps. Any questions please just ask. Thank you.
4 0
3 years ago
Read 2 more answers
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