We. 4. There are 30 students going on a field trip. If each car can take 4 students, how many cars do they need?​

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:

isnt it 5 or sum

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

This is the answer because 9 times 5 is 45. And you have to multiply 5 by 5 to get 25.

I am pretty sure this is the answer.

Have a good dayyy.Yeah!

Answer: 7

Step-by-step explanation:

Answer:

293 meters per minute

Step-by-step explanation:

perform 2051 divided by 7 to find the number of meters she ran per minute

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:

A linear equation in the form y = mx + c has slope m Any line parallel to 3x + 9y = 5 has the same slope 3x + 9y = 5 → 9y = -3x + 5 → y = (-3/9)x + 5/9 → y = -⅓x + 5/9 &

Answer:

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

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:

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:

ytes ofccc

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

I honestly don't know why we need 20 characters

Answer:

65 dollars and 2 cent

Step-by-step explanation:

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:

b. $6,524.96

Step-by-step explanation:

$1,631.24 x 4 equals $ $6,524.96

Answer:

-4, 2

Step-by-step explanation:

It's dividing by negative 2

Answer:

-8, 16 maybe sorry if wrong

Answer:

I guess the answer is 5 and 8

Answer:

I think answer is 5 and 8

Answer:

40 is 4,4,8,8,24

Step-by-step explanation:

40 in the ratio 1:1:2:2:4

X+X+2X+2X+4X=40

10X=40

X=40/10

X=4

So 40 is 4,4,8,8,24

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:

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°

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:

-1/5

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

Theoretically you would divide the area of the garden by the area of the corn in order to get the area of the pumpkin. so divide 2x^2+5x+4/x2-3x+2.

answer :138

x/3=46

x=46*3

x=138

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:

a

Step-by-step explanation:

9514 1404 393

Answer:

  A.  Initial value 12, rate of change -2

Step-by-step explanation:

We note that the x-values in the table go up by 1 and the y-values go down by 2. That "down by 2" for "up by 1" is the rate of change: -2/1 = -2.

If we extend the table upward one more row, we have x=0 and y=12. That is, the "initial value" is 12.

The initial value is 12; the rate of change is -2.

Answer:

Its B.

Step-by-step explanation: