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2 years ago

The Elsie Dairy uses a machine that fills 28 cartons of milk an hour. How many will be filled in 6.5 hours?

Mathematics

2 answers:

AveGali [126]2 years ago

7 0

Answer:

About 182 cartons will be filled in 6.5 hours.

Step-by-step explanation:

Multiply 6.5 by 28 to get 182

OverLord2011 [107]2 years ago

7 0

Answer:

The answer is 182

Step-by-step explanation:

28 x 6.5 = 182. if the machine fills 28 cartoons in a hour and you leave it running for 6.5 or 6 hours and 30 minutes that will be 182 cartoons filled in that amount of time.

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When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

kupik [55]

Answer:

(a) 0.873 (b) 0.007 (c) 0.715 (d) 0.277 (e) 1.25 and 1.09

Step-by-step explanation:

The probability that the random variable X takes the value x is given by P(X=x) = $25Cx 0.05^x0.95^{25-x}$ . Then,

(a) $P(X\leq) = (25C0)(0.05^0)(0.95^{25}) + (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23})= 0.873$

(b) $P(X\geq5) = 1-P(X\leq4) = 1 - (0.873 + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21})) = 1 - (0.873 + 0.12) = 0.007$

(c) $P(1\leqX\leq4) = (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23}) + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21}) = 0.715$

(d) $P(X=0) = (25C0)(0.05^0)(0.95^{25}) = 0.277$

(e) E(X) = np = (25)(0.05) = 1.25 and $Sd(X) = \sqrt{Var(X)} = \sqrt{np(1-p)} = 1.09$

8 0

2 years ago

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?

Deffense [45]

So you have a right angle triangle. You need to use trig for this, as you have two values you can figure out a third.

You know that you have

90 deg. angle
19 deg. angle
Therefor you have 71 deg. angle

sin19 = x/15
15sin19 = x
x = 2.2

Now do Pythagoras c^2-b^2=a^2

a = 14.8

So the sides are 2.2 and 14.8 units long. (If these numbers are wrong tell me and I'll edit answer)

7 0

3 years ago

Read 2 more answers

What does the value of y have to be so that

zzz [600]

Step-by-step explanation: 7-6 = 1

-5-(-3)=-8

4 0

3 years ago

Classify the equation 64x - 16 = 16(4x - 1) as

Maksim231197 [3]

Answer:

there is no solution 64x-16=64x-16

Step-by-step explanation:

if you distrubute then you will see the numbers are the same on both sides

7 0

3 years ago

Read 2 more answers

Shona spins a spinner with three equal-sized spaces—red, green, and yellow—and then rolls a six-sided die numbered from 1 to 6.

telo118 [61]

<h2>Answer with explanation:</h2>

<u>Sample size--</u>

It is the collections of all the possible outcomes of an event.

(A)

It is given that:

Shona spins a spinner with three equal-sized spaces—red, green, and yellow and then rolls a six-sided die numbered from 1 to 6.

This means that the possible outcomes are given as follows:

(Red,1) (Green,1) (Yellow,1)

(Red,2) (Green,2) (Yellow,2)

(Red,3) (Green,3) (Yellow,3)

(Red,4) (Green,4) (Yellow,4)

(Red,5) (Green,5) (Yellow,5)

(Red,6) (Green,6) (Yellow,6)

This means that the total number of outcomes are: 18

Hence, the sample size for this compound event is: 18

(B)

If the spinner has four colored spaces.

Let the fourth color be: Blue

Then the possible outcomes are given by:

(Red,1) (Green,1) (Yellow,1) (Blue,1)

(Red,2) (Green,2) (Yellow,2) (Blue,2)

(Red,3) (Green,3) (Yellow,3) (Blue,3)

(Red,4) (Green,4) (Yellow,4) (Blue,4)

(Red,5) (Green,5) (Yellow,5) (Blue,5)

(Red,6) (Green,6) (Yellow,6) (Blue,6)

Hence, the total number of outcomes are: 24

The sample size of this compound event would be 24.

8 0

3 years ago