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3 years ago

Please only answer if you know

Mathematics

2 answers:

rosijanka [135]3 years ago

8 0

Answer:

between 20 & 30?

A & C

Step-by-step explanation:

A) 32 / 8 * 5.25 = 21

B) -18 / 6 * 9 = -27

C) 4 * 12.5 / 2 = 25

D) 12 * 4 $\frac{1}{3}$ / -2 = -26

marusya05 [52]3 years ago

6 0

Answer:

A, C

Step-by-step explanation:

A.)

32 / 8 * 5.25 ----> 4 * 5.25 ----> 21

C.)

4 * 12.5 / 2----> 49 / 2 ----> 24.5

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The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assum

DochEvi [55]

Answer:

a. $\mathtt{P(X \geq 25) =0.0170}$ ( to four decimal places)

b. $P(22.5$ ( to four decimal places )

c. The limits will be between the interval of ( 22.33,24.67 )

Step-by-step explanation:

Given that :

mean = 23.50

standard deviation = 5.00

sample size = 50

The objective is to calculate the following:

(a) What is the likelihood the sample mean is at least $25.00?

Let X be the random variable, the probability that the sample mean is at least 25.00 is:

$P(X \geq 25) = 1 - P(\dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{25- 23.50}{ \dfrac{5}{\sqrt{ 50}} })$

$P(X \geq 25) = 1 - P(Z< \dfrac{1.5}{ \dfrac{5}{7.07107}} })$

$P(X \geq 25) = 1 - P(Z< \dfrac{1.5 \times 7.071}{ {5}})$

$P(X \geq 25) = 1 - P(Z< 2.1213)$

$P(X \geq 25) = 1 - P(Z< 2.12)$ to two decimal places

From the normal tables :

$P(X \geq 25) = 1 - 0.9830$

$\mathtt{P(X \geq 25) =0.0170}$ ( to four decimal places)

(b) What is the likelihood the sample mean is greater than $22.50 but less than $25.00?

$P(22.5$

$P(22.5$ to four decimal places

At 90 % confidence interval, level of significance = 1 - 0.90 = 0.10

The critical value for the $z_{\alpha/2} = 0.05$ = 1.65

Standard Error = $\dfrac{\sigma}{\sqrt{n}}$

Standard Error = $\dfrac{5}{\sqrt{50}}$

Standard Error = 0.7071

Therefore, at 90 percent of the sample means, the limits will be between the intervals of : $(\mu \pm z_{\alpha/2} \times S.E)$

Lower limit = ( 23.5 - (1.65×0.707) )

Lower limit = ( 23.5 - 1.16655 )

Lower limit = 22.33345

Lower limit = 22.33 (to two decimal places).

Upper Limit = ( 23.5 + (1.65*0.707) )

Upper Limit = ( 23.5 + 1.16655 )

Upper Limit = 24.66655

Upper Limit = 24.67

The limits will be between the interval of ( 22.33,24.67 )

6 0

3 years ago

PLEASE HELP ME OUT!!

lara31 [8.8K]

The south side of town would be the better option.

7 0

3 years ago

Y= 4x + 3 y= -x - 2 solve the system of linear equation by graphing

m_a_m_a [10]

Answer:

(-1, -1)

Step-by-step explanation:

To solve a system of equations by graphing, first graph the lines. Then, find where the two lines hit each other. This is called the "point of intersection", which is the solution. Mark this point's coordinates as an ordered pair (x, y) for your answer.

The equations are in slope-intercept form y = mx + b.

"x" and "y" are points on the line.

"m" is the slope, which equals to $\frac{rise}{run}$ .

"b" is the y-intercept, where a line hits the y-axis.

For y = 4x + 3 (blue):

b = 3. This first point is at "3", on the y-axis. Draw a dot there. Use the slope to get another point.

m = 4. Write it as a fraction to get the rise and run values.

$m=\frac{4}{1}$

From your first point, "rise" (go up) 4 squares, and "run" (go right) 1 squares. Put a dot here too.

Now, you can connect the two points to form a straight line. Remember to put arrows at the ends of the line.

For y = -x - 2 (red):

b = -2. This first point is at "-2", on the y-axis. Put a dot here.

Let's find the next point using the slope.

m = -1. Write it as a fraction to get the rise and run values.

$m=-\frac{1}{1}$

From your first point, "rise" -1 squares. This means to go down 1 square because the fraction is negative. "Run" (go right, same as before) 1 square. Draw your second point here.

Now, you can connect the two points to form a straight line. Remember to put arrows on the line again.

Extend the lines (keep making them longer) until they hit each other. Where they meet is the solution of the system.

The solution is (-1, -1).

3 0

3 years ago

Donna de paul is raising money for the homeless. She discovers that each church group requires 2 hours of let her writing and 1

Salsk061 [2.6K]

Answer:

x = 7

y = 3

z (max) = 4950/3 = 1650

Step-by-step explanation:

Let call

x numbers of church goup and

y numbers of Union Local

Then

First contraint

2*x + 2*y ≤ 20

Second one

1*x + 3*y ≤ 16

Objective Function

z = 150*x + 200*y

Then the system is

z = 150*x + 200*y To maximize

Subject to:

2*x + 2*y ≤ 20

1*x + 3*y ≤ 16

x ≥ 0 y ≥ 0

We will solve by using the Simplex method

z - 150 *x - 200*y = 0

2*x + 2*y + s₁ = 20

1*x + 3*y + 0s₁ + s₂ = 16

First Table

z x y s₁ s₂ Cte

1 -150 -200 0 0 = 0

0 2 2 1 0 = 20

0 1 3 0 1 = 16

First iteration:

Column pivot ( y column ) row pivot (third row) pivot 3

Second table

z x y s₁ s₂ Cte

1 -250/3 0 0 200/3 = 3200/3

0 - 4/3 0 -1 2/3 = -20/3

0 1/3 1 0 1/3 = -20/3

Second iteration:

Column pivot ( x column ) row pivot (second row) pivot -4/3

Third table

z x y s₁ s₂ Cte

1 0 0 750/12 700/6 = 4950/3

0 1 0 3/4 -1/2 = 7

0 0 1 -1/4 1/2 = 9/3

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3 years ago

A farmer has to transport 20 people and 32 sheep to a market. He can use either Fiats (x) which take 2 people and 1 sheep, or Ro

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Uhhhhhhhhhh I think its is 84

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