Sean has 9 liters of juice. He pours equal amounts of the juice into 4 pitchers. There is 0.5 of a liter of juice left. How many liters of juice are in each pitcher? Sean has 9 liters of juice. He pours equal amounts of the juice into 4 pitchers. There is 0.5 of a liter of juice left. How many liters of juice are in each pitcher?

Answer:

0

Step-by-step explanation:

Let X  to be a random variable that looks a binomial distribution which denoted the number of employees out of the 281 who earn the prevailing minimum wage or less

The sample size n = 281

The population parameter p = 5% = 0.05

Using normal approximation for the mean.

[tex]\mu = np[/tex]

[tex]\mu = 281\times 0.05[/tex]

[tex]\mu = 14.05[/tex]

The standard deviation is:

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

[tex]\sigma = \sqrt{281 \times 0.05(1-0.05)}[/tex]

[tex]\sigma = \sqrt{281 \times 0.05(0.95)}[/tex]

[tex]\sigma = \sqrt{13.3475}[/tex]

[tex]\sigma =3.6534[/tex]

By using continuity correction; the sample mean x is:

x = 30 - 0.5

x = 29.5

The z statistic test can now be as follows:

[tex]Z = \dfrac{x-\mu}{\sigma}[/tex]

[tex]Z = \dfrac{29.5-14.05}{3.6534}[/tex]

[tex]Z = \dfrac{15.45}{3.6534}[/tex]

Z = 4.23

Thus, the probability that company A will get a discount is

P(X ≥ 30) = P(Z >4.23)

= 1 - P(Z < 4.23)

By using the Excel function for the z score 4.23 i.e. "=1 - NORMSDIST(4.23)" we get;

= 0.0000

Let X be a random variable that shows how many employees out of 281 earn the prevailing minimum wage or less.

X does have a binomial distribution with parameters [tex]n = 281 \ \ and\ \ p = 0.05[/tex]:

Since [tex]np \ \ and\ \ n(1-p)[/tex] are greater than 5, X does have a normal distribution of parameters when using the normal approximation.

[tex]\to \mu= np=281 \times 0.05= 14.05[/tex]

Calculating the standard deviation:

[tex]\to \sigma=\sqrt{np(1-p)}\\\\[/tex]

       [tex]= \sqrt{281 \times 0.05 (1-0.05)}\\\\=\sqrt{281 \times 0.05 \times 0.95}\\\\ =\sqrt{14.05 \times 0.95}\\\\ =\sqrt{13.3475}\\\\=3.653[/tex]

Continuity correction is required in this case. The z-score for [tex]X = 30-0.5 = 29.5[/tex]:

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

      [tex]=\frac{29.5-14.05}{3.653}\\\\=\frac{15.45}{3.653}\\\\=4.2294\\\\[/tex]

The likelihood that Company Its will receive the discount:

[tex]\to P(X\geq 30)=P(z>4.229)=0.0000117\approx \ 0.0000[/tex]

Therefore, the final answer is "0".

Learn more about the discount:

brainly.com/question/16051609

Answer:

27.5

Step-by-step explanation:

Answer:

$7,875

Step-by-step explanation:

5.75% of 5000 = 287.5

287.5 x 10 = 2875

5000 + 2875 = 7875

Answer:

-1/5

Step-by-step explanation:

2/5 - 3/5 = -5/25 as simplified as -1/5 in fraction form

Answer:

Its B.

Step-by-step explanation:

Answer:

we must make one of them 1/4 of it and the other one 3/4 of it so we divide it by 4 to get the first one which is 15 than we get the other one by mulitplying by 3 so the answers are 15 and 45.

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

i dont know sorry

Answer:

B

Step-by-step explanation:

the electromagnet lasts only as long as there is supply of electric current

Answer:

There is no question so I can not respond with a answer.

Step-by-step explanation:

Answer:

53.6°

Step-by-step explanation:

Pretty much just add all the (y)s together then divide by 10.

50+52+51+54+53+57+54+54+55+56=536

536/10 =53.6

the average temperature is 53.6°

Answer:

233.2

Step-by-step explanation:

Answer:

Slope m (Gradient) = 3

y-intercept: (0, -5)

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 3x - 5

Step 2: Break function

Slope m = 3

y-intercept b = -5

Answer:

SLOPE: 3

Y INTERCEPT: -5

The number with the X is always the slope, and the number without the X is the y intercept, it depends if you are adding or subtracting.

Answer:

125

Step-by-step explanation:

since you take away 2/5 of the original number to get 75, 75 is equal to 3/5's of the original. You then divide 75 by 3, get 25, then multiply 25 by 5 to find the answer which is 125.

Answer:

y=11

Step-by-step explanation:

Answer:

Step-by-step explanation:

u replace the x with a 3

2x3+4y=50

6+4y=50

u kick the six next to the fifty with the opposite sign

4y=50-6

4y=44

divide both sides by 4

y=11

Answer:

75%

Step-by-step explanation:

All you have to do is count quarters. If you ever see a shaded square and its divided into fours always count by quarters.

(ex: 25, 50, 75, 100)

Answer:

90%

Step-by-step explanation:

first box: 50% second box: 70% third box: 90% fourth box: 100%

Answer:

The ramp is 5 feet high I think

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer: -657,987

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

92+55=147

180-147=33

85+45=130

180-130=50

50+33=83

180-83=97

Answer:

[tex] \frac{11}{8} [/tex]

[tex]4 - 8x = - 7 \\ - 8x = - 7 - 4 = - 11 \\ - 8x = - 11 \\ x = \frac{11}{8} [/tex]

Answer:

0

Step-by-step explanation:

Answer:

The energy that is changing during a phase change is potential energy. During a phase change, the heat added (PE increases) or released (PE decreases) will allow the molecules to move apart or come together. Heat absorbed causes the molecules to move farther apart by overcoming the intermolecular forces of attraction.

Answer: I believe it turns into kinetic energy

Step-by-step explanation:

Kinect energy is the opposite of potential energy

answer :138

x/3=46

x=46*3

x=138

Step-by-step explanation:

21+3x = 1/2x +1

6x = -20

x= 3.3333333333333

or x =3.33

Decimal= 1.30

Percent = 65%

There is one whole block. And there are 3 rows on the second block out of 1 whole block. So 1 whole block plus 3 rows out of 10 rows is 1.3 and 65% percent out of 2 whole blocks or 100%.

Answer:

y= 2x

Step-by-step explanation:

point-slope: y-y1=m(x-x1)

y-2=0(x-0)

y-2=x

y=2x

Answer:

y=-2

Step-by-step explanation:

its a slope of zero

Answer:

The ratio at its simplest form it 4:1

Step-by-step explanation:

That means they type 4 letters in 1 second

Answer:

she types 4 letters in one second so its a 4:1 ratio of letters to seconds.

Step-by-step explanation:

Answer:

8 pieces of string

Step-by-step explanation:

Given that :

Total yards of string = 4

Length in yd of each string = 1/2 yards

Number of pieces of string Ms. Cole has :

Total. Yards / length in yard of each string

4 / (1/2)

4 * (2 /1)

= 8/1

= 8 pieces of string.

Answer:

The second one is the best answer to your question

Answer:

B is the correct answer

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because the ratio of corresponding side are not equal