An orange juice manufacturer advertises a new orange juice product that contains 50% less sugar. This new product is expected to increase profits substantially because they create the 50% less sugar product by replacing 50% of the juice with water while selling it for the same price. An inspector wants to investigate whether the actual percentage of water in the product is within 5% of the intended 50%.
He selects a random sample of 500 containers of orange juice and determined the percentage of each that is water. He plans to conduct a significance test at the a = 0.01 level to see if there is convincing evidence that the proportion of water added is different from 0.50. What is the probability that the inspector makes a Type I error?
(A) 0.01
(B) 0.05
(C) 0.10
(D) 0.45
(E) 0.50

Answer:

4x + 8

Step-by-step explanation:

4(x+2)

4*x + 4*2

4x + 8

[tex] \large\sf \leadsto 4(x + 2)[/tex]

[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]

[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

The possible outcomes are :

1,2,3,4,5,6

We can see that there is a 3/6 (or 1/2) chance the outcome is even

Let E= odds of getting an even

we're looking for E∩E

Because each roll is independent of the last we can multiply to find their intersection

.5*.5= .25 or 1/4

Answer:

The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.5}{\sqrt{20}} = 1.53[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is S - 1.53.

The upper end of the interval is the sample mean added to M. So it is S + 1.53.

The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.

Answer:

B. 1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.

Answer:

(AUB)UC=2,3,4,5,6,7,8,9

put all these numbers inside curly bracket

Step-by-step explanation:

Answer: A

Step-by-step explanation:

4.7+2.8 = 7.5

And

7.5 -4.7 = 2.8

Answer:

see below

Step-by-step explanation:  5 20 21 02

There are 5 areas to calculate

Top  = LW          =  (20)(17)

Bottom  = LW    =  (20)(15)

Back  = LW        =  (20)(8)

2 Triangular Ends  = One square    = LW     =  (8)(15)

Total Surface Area = (20)(17) +  (20)(15) + (20)(8) +  (8)(15)

                  = (20)(17 + 15 + 8) +  (8)(15)

                  = (20)(40) + (8)(15)

                  =  800  +  120

                  =   920 ft²

Answer:

[tex]\angle 1 = 99^\circ[/tex]

[tex]\angle 3 = 99^\circ[/tex]

[tex]\angle 4 = 81^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle 2 = 81^\circ[/tex]

Required

Determine: [tex]\angle 1 . \angle 3 , \angle 4[/tex]

Solving for [tex]\angle 1[/tex], we have:

[tex]\angle 2 + \angle 1 = 180^\circ[/tex] --- angle on a straight line

So, we have:

[tex]\angle 1 = 180^\circ-\angle 2[/tex]

[tex]\angle 1 = 180^\circ-81^\circ[/tex]

[tex]\angle 1 = 99^\circ[/tex]

To solve for [tex]\angle 3, \angle 4[/tex], we have:

[tex]\angle 3 = \angle 1[/tex]

[tex]\angle 4 = \angle 2[/tex] --- Vertically opposite angles

So:

[tex]\angle 4 = 81^\circ[/tex]

[tex]\angle 3 = 99^\circ[/tex]

Answer:

ok

Step-by-step explanation:

First find the circumference of the circle:

Circumference = 2 x radius x pi

Circumference = 2 x 4 x 3.14 = 25.12 cm

Now arc ML is 100 degrees.

Multiply the circumference by the arc degree/360 ( 360 is a full circle)

25.12 x 100/360 = 6.98 cm

The answer is 6.98 cm

Answer:

it would be five each hour.

Step-by-step explanation:

Answer:

Infinite solutions

Step-by-step explanation:

2x -1 = x + x -1

2x=x+x

2x=2x

Answer:

[tex]\angle OPS = 142^\circ[/tex]

Step-by-step explanation:

Given

The attached rectangle

[tex]\angle QOR = 142^\circ[/tex]

Required

Determine [tex]\angle OPS[/tex]

[tex]\angle OPS = \angle QOR[/tex] --- vertically opposite angles

Hence:

[tex]\angle OPS = 142^\circ[/tex]

Answer:12

Step-by-step explanation:just know i did it and got it right

Answer:

The answer is 6 and 12

Step-by-step explanation:

1x3= 3

6×3= 18

2×3=6

4×3=12

Answer:

B median

Step-by-step explanation:

The median is the center of any data set

Answer:

5

-7

36

Step-by-step explanation:

if the center is (5,-7) the first part must look like

(x-5)²+(y+7)²

to find the raidus plug in 5 for x and -1 for y

(5-5)²+(-1+7)²

0²+6²=36

36

Answer:

69 miles per hour

Step-by-step explanation:

Given

Trip to:

[tex]t_1 = 6[/tex] --- time

[tex]s_1 = 23 + s_2[/tex]

Trip back

[tex]t_2 = 9[/tex]

Required

Determine the average speed to Johannesburg

Average speed is calculated as:

[tex]speed = \frac{distance}{time}[/tex]

Make distance the subject

[tex]distance = speed * time[/tex]

Since distance is constant, then:

[tex]s_1 * t_1 = s_2 * t_2[/tex]

This gives:

[tex](23 + s_2) * 6 = s_2 * 9[/tex]

Open bracket

[tex]138 + 6s_2 = 9s_2[/tex]

Collect like terms

[tex]9s_2 - 6s_2 = 138[/tex]

[tex]3s_2 = 138[/tex]

Solve for s2

[tex]s_2 = 138/3[/tex]

[tex]s_2 = 46[/tex]

Recall that:

[tex]s_1 = 23 + s_2[/tex]

[tex]s_1 = 23 + 46[/tex]

[tex]s_1 = 69[/tex]

Answer:

8^3−24^2+24−8

Step-by-step explanation:

If you search the equation up it tells you the answer is 8^3−24^2+24−8 and shows you the steps. (I’m sorry. I just didn’t have the patience to write out all the steps.)

Answer:

Hello There!!

Step-by-step explanation:

The answer is=>The sum is x + y = 65

The difference is x - y = 7 .....x = 7 + y

7 + y + y = 65

7 + 2y = 65

2y = 58

y = 29

x + y = 65

x + 29 = 65

X = 36

The Sum: 36 + 29 = 65

The Difference: 36 - 29 = 7

hope this helps,have a great day!!

~Pinky~

Answer:

36 and 29

Step-by-step explanation:

The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:

x - y = 7

Now solve equation B for x to get the revised equation B:

x - y = 7

x = 7 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

7 + y + y = 65

7 + 2y = 65

2y = 58

y = 29

Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:

x + y = 65

x + 29 = 65

X = 36

Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:

Sum: 36 + 29 = 65

Difference: 36 - 29 = 7

Answer:

They both have pie in the formula

Step-by-step explanation:

Answer:

Circumference is the distance around a circle, or the perimeter. Area is the space inside the circle. Area has square units, circumference does not. They both have π in the formula.

[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.

It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "every term is obtained by adding a fixed number (positive or negative or zero) to its previous term".

The first term of an arithmetic sequence is a, its common difference is d, n is the number of terms.

Arithmetic sequence formula is given as, [tex]a_{n} =a+(n-1)d[/tex].

Given arithmetic sequence

[tex]3, 5, 7, 9,.....[/tex]

n is an integer

[tex]a = 3[/tex]

By considering the above arithmetic sequence, we can say that each term in the sequence is in the form of 3 + 2n, where , n ≥ 0.

So, the correct option is A

[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex]

Thus, [tex]a(n) = 3 + 2n[/tex] for  [tex]n \ge 0[/tex]  functions generate the arithmetic sequence.

Find out more information about arithmetic sequence here

https://brainly.com/question/15412619

#SPJ3

Answer:

3x+2x+a=180 degree(being linear pair)

5x+25=180

5x=180-25

x=155/5

x=31

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

hmm i dont know this is a pretty hard  1

Answer:

c. 25°

Step-by-step explanation:

Sum of angles in a triangle:

The sum of the measures of the angles of a triangle is 180º.

In this question:

Angles of 3x, 2x-13 and 5x + 3.

The sum is 180º. So

[tex]3x + 2x - 13 + 5x + 3 = 180[/tex]

[tex]10x - 10 = 180[/tex]

[tex]10x = 190[/tex]

[tex]x = \frac{190}{10}[/tex]

[tex]x = 19[/tex]

Measure of each angle:

3x = 3(19) = 57º

2x - 13 = 2(19) - 13 = 38 - 13 = 25º

5x + 13 = 5(19) + 3 = 95 + 3 = 98º

The smallest angle is 25º, and the correct answer is given by option c.

Answer:

2.5/40=2/y

2.5y=40x2

2.5y=80

y=80/2.5

y=32

Answer:

14

Step-by-step explanation:

[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]