Answer:

**Answer:**

7.56 quarts of antifreeze in the resulting mixture, and 37.8% of the resulting mixture is antifreeze.

**Step-by-step explanation:**

8 * .45= 3.6 quarts antifreeze

12 * .33= 3.96 quarts antifreeze

3.6 + 3.96=** 7.56 quarts of antifreeze in the resulting mixture **

7.56 quarts/ 20 quarts (12 + 8) * 100= **37.8%**

Answer:
### Final answer:

### Explanation:

### Learn more about Percent Composition here:

In the combined solution, there are 7.56 quarts of anti-freeze, which equals 37.8% of the total solution.

To solve this problem, we first need to calculate how many quarts of anti-freeze are in each solution, then add them together.

First, we have 8 quarts of a solution that is 45% anti-freeze. To find how many quarts of the solution is anti-freeze, we multiply the total amount by the **percentage:** 8 quarts * 0.45 = 3.6 quarts anti-freeze.

Next, we have 12 quarts of a solution that is 33% anti-freeze. Doing the same calculation as before, 12 quarts * 0.33 = 3.96 quarts anti-freeze.

Now, to find the **total quarts** of anti-freeze in the combined solution, we simply add the two amounts together: 3.6 quarts + 3.96 quarts = 7.56 quarts.

The total amount of solution is 8 quarts (from the first solution) + 12 quarts (from the second) = 20 quarts.

To find the percent of anti-freeze in the final solution, we divide the total amount of anti-freeze by the total amount of solution: (7.56 quarts / 20 quarts) * 100 = *37.8%*. Therefore, the resulting mixture is 37.8% anti-freeze.

#SPJ2

A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationshipbetween the given line segment and its image is true?A The line segments are parallel, and the image is twice the length of the given line segment.B. The line segments are parallel, and the image is one-half of the length of the given line segment.C. The line segments are perpendicular, and the image is twice the length of the given line segment.DD The line segments are perpendicular, and the image is one-half of the length of the given line segment.

Using the unit circle, determine the value of sin 450°

Simplify by using factoring: (2a+6b)(6b−2a)−(2a+6b)^2

Which of the following is the equation of the line that is parallel toy= 3/5x+ 8 and goes through point (-10,4)?Select one:a. y = 5/3x + 20 2/3b. y=-5/3x – 12 2/3c.y= 3/5x + 10d. y = -3/5x-2

Determine which statements are true in the set of real numbers3. (Select all that apply.) (a) Two lines parallel to a third line are parallel. (b) Two lines perpendicular to a third line are parallel. (c) Two planes parallel to a third plane are parallel. (d) Two planes perpendicular to a third plane are parallel. (e) Two lines parallel to a plane are parallel. (f) Two lines perpendicular to a plane are parallel. (g) Two planes parallel to a line are parallel. (h) Two planes perpendicular to a line are parallel. (i) Two planes either intersect or are parallel. (j) Two lines either intersect or are parallel. (k) A plane and a line either intersect or are parallel. Incorrect: Your answer is incorrect.

Using the unit circle, determine the value of sin 450°

Simplify by using factoring: (2a+6b)(6b−2a)−(2a+6b)^2

Which of the following is the equation of the line that is parallel toy= 3/5x+ 8 and goes through point (-10,4)?Select one:a. y = 5/3x + 20 2/3b. y=-5/3x – 12 2/3c.y= 3/5x + 10d. y = -3/5x-2

Determine which statements are true in the set of real numbers3. (Select all that apply.) (a) Two lines parallel to a third line are parallel. (b) Two lines perpendicular to a third line are parallel. (c) Two planes parallel to a third plane are parallel. (d) Two planes perpendicular to a third plane are parallel. (e) Two lines parallel to a plane are parallel. (f) Two lines perpendicular to a plane are parallel. (g) Two planes parallel to a line are parallel. (h) Two planes perpendicular to a line are parallel. (i) Two planes either intersect or are parallel. (j) Two lines either intersect or are parallel. (k) A plane and a line either intersect or are parallel. Incorrect: Your answer is incorrect.

**Answer:**

D) {-1}

**Step-by-step explanation:**

A rational expression is "not defined" when its denominator is zero. Hence to find values of x that make the expression "not defined," you solve the equation ...

denominator = 0

2x +2 = 0 . . . . . . put the actual denominator into the equation

x + 1 = 0 . . . . . divide by 2

x = -1 . . . . . . . . subtract 1

**The expression is "not defined" for x in the set {-1}**.

as the exponents increase, the value is multiplied by 2

Using the sample proportion, it is found that the **point estimate **is of **0.15 = 15%**.

A sample proportion is given by the __number of desired outcomes divided by the number of total outcomes__. It can also serve as the **point estimate** for the population proportion.

In this problem, **12 out of the 80 items** sold were returned, hence:

12/80 = 0.15 = 15%.

The **point estimate **is of **0.15 = 15%**.

More can be learned about **point estimates** at brainly.com/question/24651197

**Answer:**

a)

b)

And the 95% confidence interval would be given (0.072;0.228).

c) For this case since the confidence interval not contains the value 0.06 or 6% and since the lower limit for the confidence interval is higher than 0.06 (0.072>0.06), we have enough statistical evidence to support the conclusion that the true proportion of **items returned **is higher than 0.06 or 6% at a significance of 5%.

**Step-by-step explanation:**

Assumign the following question for the problem:

**a. Construct a point estimate of the proportion of items returned for the population of sales transactions at the Houston store.**

For this case the best estimate for the true proportion is given by the sample proportion:

**b. Construct a 95% confidence interval for the porportion of returns at the Houston store.**

A **confidence interval** is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The** margin of error** is the range of values below and above the sample statistic in a confidence interval.

**Normal distribution**, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The confidence interval would be given by this formula

For the 95% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.

And replacing into the confidence interval formula we got:

And the 95% confidence interval would be given (0.072;0.228).

**c. Is the proportion of returns at the Houston store significantly different from the returns for the nation as a whole? Provide statistical support for your answer.**

For this case since the confidence interval not contains the value 0.06 or 6% and since the lower limit for the confidence interval is higher than 0.06 (0.072>0.06), we have enough statistical evidence to support the conclusion that the true proportion of **items returned **is higher than 0.06 or 6% at a significance of 5%.

Answer: That’s actually mode

Step-by-step explanation:

Mode- the value that appears most often in a set of data.

Median- the middle number in a list of numbers ordered from lowest to highest.

Mean- the total of all the values, divided by the number of values.

Range- the difference between the lowest value and the highest value.

**Answer:**

mode

**Step-by-step explanation:**

B. 1

C. 2

D. cannot be determined

The answer would be C, 2

**Answer:**

50

**Step-by-step explanation:**

Think of line AE as a transversal. with DE and AB cutting across it. If we draw it out, looking at the picture, we can see that angles A and E correspond, meaning that angle A = angle E = 50