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krok68 [10]
3 years ago
11

Question 15 of 20

Mathematics
1 answer:
Serga [27]3 years ago
5 0

a writer will use a for the informal language

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The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0
dedylja [7]

Answer:  a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987

Hence, a) 0.8413, b) 0.9987.

4 0
3 years ago
A shipment of 12 microwave ovens contains 3 defective units. A vending company has ordered 4 of these units, and because all are
pishuonlain [190]
P(defective) = 3/12 = 1/4
P(good) = 1 - 1/4 = 3/4
P(2\ good)=4C2\times0.75^{2}\times0.25^{2}=0.211
P(3\ good)=4C3\times0.75^{3}\times0.25=0.422
P(4\ good)=0.75^{4}=0.316
The probability that at least 2 units are good is given by:
P(2 good) + P(3 good) + P(4 good) = 0.211 + 0.422 + 0.316 = 0.949.

4 0
3 years ago
Read 2 more answers
The sum of the measures of angle X and angle Y is 90. If the measure of angle X is 30 less than twice the measure of angle Y, wh
fgiga [73]
I hope this helps you

3 0
4 years ago
Read 2 more answers
Help me please and thanks
leva [86]

Answer:

  A.  (1, -4)

Step-by-step explanation:

You can try the answers to see which works. (The first one does.)

Or, you can solve the equations algebraically. Equating y-values works well here:

  2x -6 = -2x -2

  4x = 4 . . . . . . . add 2x+6 to both sides; next divide by 4

  x = 1 . . . . . . . . shows you selection A is correct

___

A graphing calculator can show you the point of intersection. Perhaps this is the way to go, since the unit seems to be on graphing systems of equations. Both of these equations are in slope-intercept form (y=mx+b), so are easily graphed by starting from the y-intercept (b) and using the slope (m=rise/run) to find another point on the line.

3 0
3 years ago
What’s the square root of 25 plus 13
bulgar [2K]

Answer:

18

Step-by-step explanation:

√25+13= 5+13=18

6 0
4 years ago
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