If you use 104 kiloliters of water per year, approximately how many liters of water do you use in a day?

2,000 liters
0.28 liters
285 liters
85 liters

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).

This means that [tex]p = 0.11[/tex]

Random sample of 200 shafts

This means that [tex]n = 200[/tex]

Mean and Standard deviation:

[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]

(a) What is the (approximate) probability that X is at most 30

Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 22}{4.42}[/tex]

[tex]Z = 1.92[/tex]

[tex]Z = 1.92[/tex] has a pvalue of 0.9726.

0.9726 = 97.26% approximate probability that X is at most 30

Answer:

6x + 4 = 40

Step-by-step explanation:

6 boxes

x = number of pencils per box

therefore Sam had 6x and received 4 more

Answer:

6x + 4 = 40

explanation

Step-by-step explanation:

6 boxes

x = number of pencils per box

therefore Sam had 6x and received 4 more

Answer:

a. 36

b. 18

c. 27

Answer:

The answer is "66.99%"

Step-by-step explanation:

Please find the correct question in the attached file.

[tex]\to \frac{684}{1021} \times 100\\\\\to \frac{684}{1021} \times 100\\\\ \to 0.6699 \times 100 \\\\ \to 66.99 \%[/tex]

Answer:

how much money does it cost for one person??

Answer:

slope={10-7)/(-1--7)=3/(-1+7)=3/6=1/2

Answer:

3/6 or 1/2 (simplified)

Step-by-step explanation:

Use the slope formula: (change in y)/(change in x)

Answer:

52.63%

Step-by-step explanation:

The gasoline increased by $1.20. This means it grew by about 52.63% (Double-check to make sure I am correct)

Answer:

B is not equal to the others

Step-by-step explanation:

Answer:

125[tex]cm^{3}[/tex]

Step-by-step explanation:

5x5x5= 125

Answer:

30 blocks

Step-by-step explanation:

60 minutes = 1 hour

For one hour, she will walk 7.5 blocks.

The rate is 7.5blocks per hour.

Multiply this by 4 hours, and you will get 30 blocks.

(7.5)4 = 30

Answer:

i think you want to know what is the total it is 87.5

Step-by-step explanation:

Answer:

You pay $168.75

You save $81.25

Step-by-step explanation:

First you find the 25% off

25% of 250 is 187.50

That is 62.50 saved

Now subtract 187.50 by 10%

10% of 187.50 is 168.75

That is 18.75 saved

Answer:

The answer is B.

Step-by-step explanation:

From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.

Answer:

Step-by-step explanation:

Answer:

3.28ft

Step-by-step explanation:

Rectangular Prism Formula:

l*w*d = v

(plug in values)

2.6*1.4*d=11.94

3.64*d=11.94

d = 3.28ft

Answer:

9

Step-by-step explanation:

3*9=27

The greatest common factor of 3 and 27 is 3.

Given numbers are 3 and 27.

To find the greatest common factor of 3 and 27, find the factor each number individually.

So, the factor of 3 are:

3 = 1, 3

and, the factor of 27 are:

27= 1, 3, 9, 27

Now, the greatest common factor will be 3.

Learn more about greatest common factor here:

https://brainly.com/question/29584814

#SPJ6

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = [tex]\frac{0-(-2)}{4-0}[/tex] = [tex]\frac{0+2}{4}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

23 * 29

Step-by-step explanation:

pls give thanks, 5 star, brainliest

Step-by-step explanation:

13. 43/5 = 8 3/5

(I) he can make 8 rows .

(ii)= 3 soldiers will be left in the last row .

14. 17/2 = 8 1/2

I) she can make 8 booklets

2) yes she will have any extra sheet

3 ) 1 sheet will be left extra .

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Answer:

11

Step-by-step explanation:

LK = 1/2RP

theorem: straight line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half the length of the third side.

LK = 2x - 15 ; RP = 2x - 8

2x - 15 = 1/2(2x - 8)

2x - 15 = 2x - 8/2

2x - 15 = x - 4

Collect like terms and simplify

x = 11

it will be A

Step-by-step explanation:

because it adds up to 3:10

Answer:

$34.50

Step-by-step explanation:

First, how many 3/4 lbs are in 7.5 lbs?

7.5 lbs = 15/2 lbs.

(15/2) / (3/4) = 10

There are 10 "3/4" lbs in 7.5 lbs.

So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.

Let me know if this helps!

Answer:

A.

Step-by-step explanation:

The table that corresponds to the equation y = ¹/₄(4ˣ) is; Table C

We are given the equation; y = ¹/₄(4ˣ)

At the input value of x = 0;

x = ¹/₄(4⁰)

x = ¹/₄

At the input value of x =  1;

y = ¹/₄(4¹)

y = 1

At the input value of x = 2;

y = ¹/₄(4²)

y = 4

At the input value of x = 3;

Thus;

y = ¹/₄(4³);

y = 16

At the input value of x = 4;

y = ¹/₄(4⁴)

y = 64

At the input value of x = 5;

y = ¹/₄(4⁵)

y = 256

Read more about Equations at; https://brainly.com/question/2972832

#SPJ6

Answer:

Which expression represents the area?

Which expression represents the perimeter? 2x squared plus 8x - 2

Step-by-step explanation:

A= LxW

P= L+W+L+W

Answer:

56.7%

Step-by-step explanation:

30-13=17

(on a scientific calculator) 17/30=

0.56666667 x 100= 56.7 (round it up)

you can use this method everytime when trying to find a percantge.

Answer:

a) quad 3

b) y-axis

c) quad 4

d) quad 2

e) quad 1

f) x-axis

Answer:

0.06 is the answer

Step-by-step explanation:

0.15÷2.5=0.06

Answer:  0.06

Ignore this text it is mandatory that I have at least 20 characters.