Help picture below problem 14

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

Answer:

True

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

\(M = z\frac{s}{\sqrt{n}}\)

In which z is related to the confidence level(the higher the confidence level the higher z is), s is related to the standard deviation and n is the size of the sample.

A higher confidence level leads to a larger margin of error, that is, a wider interval. The interval expands around it's lower and upper bounds, which means that if a value is part of a lower confidence interval(such as 95%), it will be part of the higher(such as 99%), and the answer to this question is true.

the surface area of the cylinder is approximately 471 dm².

Now, For the surface area of the cylinder, we need to find the lateral area  and the area of the two circular bases.

Since, The formula for the lateral area of a cylinder is

L = 2πrh,

where r is the radius of the cylinder and h is the height.

In this case, the diameter is 10 dm,

So the radius is 5 dm.

And the height is also 10 dm.

Therefore, the lateral area is:

L = 2πrh

L = 2π(5 dm)(10 dm)

L = 100π dm²

The formula for the area of a circle is

A = πr²,

where r is the radius.

In this case, the radius is 5 dm,

So the area of each base is:

A = πr²

A = π(5 dm)²

A = 25π dm²

To find the total surface area, we add the lateral area and the area of the two bases:

SA = 2(Area of Base) + Lateral Area

SA = 2(25π dm²) + 100π dm²

SA = 50π dm² + 100π dm²

SA = 150π dm²

Substitute pi as 3.14, we can calculate:

SA ≈ 150(3.14) dm²

SA ≈ 471 dm²

Therefore, the surface area of the cylinder is approximately 471 dm².

To learn more about cylinder visit:

https://brainly.com/question/30317329

#SPJ1

I will find x, so 4x-4=180, so 4x=184, so x=46

Sorry if i answered wrong I don't understand what it is asking for.

In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

Learn more about Research Tool at:

https://brainly.com/question/28982692

#SPJ1

Answer:

C i-statistic,ii) statistics III) statistics iv) statistics v) statistics

Answer:

61 cm or 0.61 m

Step-by-step explanation:

1. One meter is 100 cm, so you multiply 1.7 meters by 100 to get 170 cm.

2. Now that they are in the same units, to get their difference in height, you subtract Sheila's height from her son's (170 - 109) and get 61 cm.

3. Convert it back to meters by dividing by 100 and you get their difference in height in meters, 0.61 m.

Answer:

0.61

Step-by-step explanation:

One cenimeter is equivalent to 0.01 meter.

109cm • 0.01 = 1.09m

1.7m - 1.09m = 0.61m

Sheila is 0.61m taller than her son

Answer:

Step-by-step explanation: To calculate the total amount of money Paul will have saved after three years, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

Where:

A = the total amount after t years

P = the initial principal, which is $150

r = the annual interest rate, which is 2.5% or 0.025

n = the number of times the interest is compounded per year, which is 12 since it is compounded monthly

t = the number of years, which is 3

Substituting the values into the formula, we get:

A = 150 * (1 + 0.025/12)^(12*3)

= 150 * 1.081567

= $162.23

Therefore, Paul will have saved up $162.23 after three years have passed.

Answer:

D.

(x − 5.5)2 + (y − 4)2 = 12.25

The probability of randomly drawing a 10 from the deck is:

P = 1/13

We want to find the probability of randomly drawing a 10 from the deck.

Remember that there are 4 suits of 13 cards each, so thereare 52 cards in total and 4 of these cards are tens.

The probability of randomly drawing a 10 is equal to the quotient between the number of cards with a 10 on it (4 of these) and the total number of cards in the deck (52).

It is:

P = 4/52 = 1/13

That is the probability.

Learn more about probability by reading:

https://brainly.com/question/25870256

#SPJ1

The length of the square is 1.75 inches, while the king's height is 2.25 inches.

Define length.

The length of an object or the extent of a one-dimensional object along its longest dimension is measured physically. It is a basic idea in physics and geometry and is frequently expressed in terms of meters (m), centimetres (cm), feet (ft), or inches (in).

According to the information provided, the square length to king's height ratio is 3.5 to 4.5 inches. Let's use this ratio to determine the square's length when the king is 2.25 inches tall.

We may make a proportion to get the square's length:

(square length) / (king's height) = 3.5/4.5

king's height = 2.25

Let's substitute the given values:

(square length) / 2.25 = 3.5/4.5

To solve for the length of the square, we can cross-multiply:

(square length) = (2.25) x (3.5/4.5)

(square length) = 1.75

Therefore, the length of the square is 1.75 inches, while the king's height is 2.25 inches.

Learn more about Length from the given link.

https://brainly.com/question/2217700

#SPJ1

Answer:

50% chance for both

Step-by-step explanation:

If its two marbles then you have a 50% chance of picking up either the black or white. If four marbles are in the bag it would be 25%, if 10 then you have 10% and so on.

If you pick a marble from this bag. The probability you will choose either a plain black or plain white marble will be 0.5.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, a person has to pick a marble from this bag.

We have to find the probability you will choose either a plain black or plain white marble

The probability that you'll select a basic black or plain white marble,

P=favourable outcome / total outcome

P=(either plain black or plain white marble) / 2

P=1/2

P=0.5

Thus, if you pick a marble from this bag. The probability you will choose either a plain black or plain white marble will be 0.5.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ6

Hey there! I'm happy to help!

We want to find out how much Lana pays per month. Let's dissect each payment we are given so we can find our monthly expense.

---------------------------------------------------------------------------

AUTOMOBILE INSURANCE

$300 for automobile insurance semiannually

The prefix semi- means half. Annual means year. So, she is paying $300 every half year, or six months. So, we can divide 300 by 6 to find how much she pays in one month!

300/6=50

Therefore, she pays $50 a month for automobile insurance.

---------------------------------------------------------------------------

HEALTH INSURANCE

We are told here that she pays $100 every month for health insurance. We don't need do anything else here!

---------------------------------------------------------------------------

LIFE INSURANCE

We see that Lana pays $700 per year on life insurance. We can divide this by 12 to find out how much there is in 1 month!

700/12≈58.33

Therefore, she pays $58.33 every month on life insurance.

---------------------------------------------------------------------------

SOLUTION

Now, we just add all of these monthly totals up to find Lana's monthly expense.

50+100+58.33=208.33

Therefore, Lana's monthly expense is $208.33.

I hope that this helps! Have a wonderful day!

1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

1/2 =    /6 =   /8.

a. Multiply numerator and denominator by 3 for equivalenting the equation    /6

Therefore,

3*3/6*3

=9/18

=1/2

therefore:1/2=1/2.

b. Multiply numerator by 4

Therefore,

4/8

=1/2.

Therefore:

1/2=1/2.

1/2=1/2=1/2.

Learn more about equivalent fraction here:

https://brainly.com/question/29775885

#SPJ1

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

The dairy farmer should use 400 pounds of the 75% protein supplement and 800 pounds of the 30% protein ration to make 1200 pounds of a high-grade 45% protein ration.

To determine how many pounds of each protein supplement the dairy farmer should use, we can set up a system of equations based on the given information.

Let's denote the following:

x = pounds of the 75% protein supplement

y = pounds of the 30% protein ration

The total weight of the mixture is 1200 pounds, so we have the equation:

x + y = 1200

The protein content in the mixture should be 45% of the total weight, so we have the equation:

0.75x + 0.30y = 0.45 * 1200

Now we can solve this system of equations.

First, let's rewrite the second equation in decimal form:

0.75x + 0.30y = 540

To make it easier to work with, we can eliminate the decimals by multiplying both sides of the equation by 100:

75x + 30y = 54000

Now we have a system of equations:

x + y = 1200

75x + 30y = 54000

We can solve this system using any appropriate method, such as substitution or elimination. In this case, let's use the substitution method:

Solve the first equation for x:

x = 1200 - y

Substitute the value of x into the second equation:

75(1200 - y) + 30y = 54000

Simplify and solve for y:

90000 - 75y + 30y = 54000

-45y = -36000

y = 800

Now we can substitute the value of y back into the first equation to find x:

x + 800 = 1200

x = 1200 - 800

x = 400

for such more question on pounds

https://brainly.com/question/12231722

#SPJ8

Answer:

Mean is 6, median 5.5, mode 2

Step-by-step

Answer:

mean=8+2+7+2+6+5

=30

30÷6=5

note: divide the total with it's sum.

median=7+2

=9

9÷2= 4.5

note: median is the middle no. since there is no middle no. so just add those two no. and divide it by 2.

mode= 2

since it occurs twice

Answer:

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.98}{2} = 0.99\). So we have T = 2.387

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters

The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Answer:

3.2

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

Answer:

105 students

Step-by-step explanation:

7/50 = x/750

(7 * 750)/50 = 5250/50

= 105

Answer:

x = -5 , x = 1

Step-by-step explanation:

f(x) = ⅔(x + 5)(x - 1)

0 = ⅔(x + 5)(x - 1) → x + 5 = 0 OR x - 1 = 0

x = -5 , 1

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:

Quarts to gallons is 4 to 1.

1/4 x 60 = X

60/4 = X

15 = X

Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons

To learn more about gallons refer

https://brainly.com/question/24138072

#SPJ1

Based on the dot plots, it appears that students generally did more push-ups this year than last year.

The range of the push-ups completed this year is 12, while the range of the push-ups completed last year is only 10.

This means that there is a greater spread of values in the data set for this year, with some students completing many more push-ups than others. In the data set for last year, the values are more evenly distributed, with most students completing between 5 and 10 push-ups.

The range of a data set affects the shape of the dot plot by determining how spread out the values are. A wide range will result in a dot plot that is more spread out, while a narrow range will result in a dot plot that is more compact. In the case of the push-up data, the wider range of values for this year results in a dot plot that is more spread out than the dot plot for last year.

Learn more about range on

https://brainly.com/question/26098895

#SPJ1

9514 1404 393

Answer:

  B.  85°

Step-by-step explanation:

The angle where the chords cross is half the sum of the angles they intercept.

  70° = 1/2(55° +x°)

  140° = 55° +x° . . . . . multiply by 2

  85° = x° . . . . . . . . subtract 55°

Answer:

3z(5z-3)

Step-by-step explanation:

first you choose the common items which in this case was 3z the you divide 15 by 3 and 9 by 3

Answer:

A) 12 inches by 20 inches

Step-by-step explanation:

Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.

Therefore 3 inches x 4 = 12 inches

And 5 inches x 4 = 20

Answer:

I'm sorry I don't understand your question?

Step-by-step explanation:

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

For such questions on Elimination

https://brainly.com/question/14485352

#SPJ8