4. The cafeteria manager at a middle
school asked 90 randomly selected
students to name their favorite school
dessert. The table below shows the
results of the manager's survey.
Favorite School Dessert
Dessert
Frequency
WWW
Cake
Cookies
关关关关
关关关关关」
Ice Cream
Cobbler
关 关
Fruit
送送送 |||
Q. Based on the results of the survey, how many of the school's 1,200 students
would the manager expect to choose fruit as their favorite school dessert?

Answer:

length of the zip line = 121. 63 ft

Step-by-step explanation:

The length of the zip line AB forms a triangle  ABC. To find the length AB we need to know the length of 2 sides of the triangle an angle.

Triangle ADC

We need to find the hypotenuse side AC using the SOHCAHTOA principle.

Therefore,

sin 41° = opposite/hypotenuse

opposite = 65 ft

sin 41° = 65/AC

cross multiply

0.65605902899 AC = 65

divide both sides by 0.65605902899

AC = 65/0.65605902899

AC = 99.0764506359  ft

AC ≈ 99.08 ft

Triangle BCE

We are looking for side BC. The triangle BCE is also a right angle triangle so we use the same methodology like the triangle ADC.

sin 62° = opposite/hypotenuse

opposite = 85 ft

sin 62° = 85/BC

cross multiply

BC sin 62° = 85

BC = 85/sin 62°

BC = 85/0.88294759285

BC = 96.2684543086

BC ≈ 96.27 ft

The angle ACB can be gotten when you subtract 62° and 41° from 180 (angle on a straight line).

Therefore,

∠ACB = 180° - 62° - 41°

∠ACB  = 77°

Now let us use the cosine law to find the zip line AB.

c² = a² + b² - 2ab cos C

a = 96.27 ft

b = 99.08 ft

c² = 96.27² + 99.08² - 2 × 96.27 × 99.08 cos 77°

c² = 9267.9129 + 9816.8464 - 19076.8632 cos 77°  

c² = 19084.7593 - 19076.8632 × 0.22495105434

c²  = 19084.7593 - 4291.36049041

c² = 14793.398810

square root both sides

c = √14793.398810

c = 121.628116856

c ≈ 121. 63 ft

length of the zip line = 121. 63 ft

Answer:

I beleive Kasey can make 36 servings of gelatin. If you want you can check your answer by using the steps I provided.

Step-by-step explanation:

1. First we need to see how many times 1 1/3 can go into 8, or (how many gelatin molds can be filled. So, we will divide 8 divided by 1 1/3 to get (6.)

2. So, since we can fill 6 gelatin molds and each mold makes six servings, we will multiply 6 times 6 to get our answer 36.

n the case of errors-in-variables bias, the OLS estimator is consistent but no longer unbiased in small samples. This is the correct statement.

In statistics, the errors-in-variables bias is a form of statistical bias that occurs when an independent variable (IV) is measured with error. The presence of the errors-in-variables (EIV) bias means that the OLS estimator will be consistent but no longer unbiased. This means that the OLS estimator can still give reliable estimates, but the estimates are no longer accurate.

The errors-in-variables (EIV) bias can be corrected by using methods such as instrumental variables or two-stage least squares (2SLS) regression. In small samples, the EIV bias can have a more significant impact on the accuracy of the OLS estimator.

In such cases, other estimation methods such as maximum likelihood estimation or the generalized method of moments (GMM) may be used to improve the accuracy of the estimates

Therefore, option C: the OLS estimator is consistent but no longer unbiased in small samples, is the correct .

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Answer:

7/8 > 5/6

Step-by-step explanation:

A) 7/8

We can compare this as follows.

Lets say both are equal.

Cross multiplying these we get 40=42

We get 40<42. In fraction we get

In case if you want to convert this to decimal, we get;

5/6 = 0.833 and 7/8 = 0.875

We get 5/6<7/8

B) 4/5

Similarly we get 4/5 = 0.8 and 5/6 = 0.833

Here 4/5<5/6

C) 3/4

we get 3/4 = 0.75 and 5/6 = 0.833

3/4<5/6

D) 2/3

we get 2/3 = 0.66 and 5/6 = 0.833

2/3<5/6

Step-by-step explanation:

Step-by-step explanation:

a little messy but hope it helps :)) !!

Answer:

x = 13

Step-by-step explanation:

Solving for X:

46 = 4x-6

46 + 6 = 4x

52 = 4x

52/4 = 4x/4

x = 13

The expression will give two different values can be obtained by inserting a single set of parentheses 13.3, and 23.3.

The total number of values that can be obtained by inserting a single set of parentheses, we need to consider the different possible placements of the parentheses within the expression 23-4.7-5.

The given expression is: 23 - 4.7 - 5

We can place the parentheses around any two adjacent terms in the expression. Let's consider the possibilities

A) (23 - 4.7) - 5

Resulting value

18.3 - 5 = 13.3

B) 223 - (4.7 - 5)

Resulting value

23 - (-0.3) = 23 + 0.3

= 23.3

So, with the given expression, two different values can be obtained by inserting a single set of parentheses: -10, 13.3, and 23.3.

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Given the inequality:

Solve for g, subtract 8 from both sides

so, the answer will be:

Answer:

7x - 35

Step-by-step explanation:

This states the product of (5 less than x) and (7). Five less than x can be written as (x - 5), and 7 is just 7. The product of (x-5) and 7 is 7x - 35.

Hope this helped :)

Answer:

D. 60

Step-by-step explanation:

Add the percentages of 25% and 35% and you'll get 60.

Answer:

A 480

Step-by-step explanation:

in 2000=480 i don't know how to farther explain it to you.hope that helps.

Answer:

$63.50

Step-by-step explanation:

63.5 that's the answer am good at maths

Answer:

Step-by-step explanation:

5x - 9 <= 21

5x <=30

x <= 6

Answer:

Try typing into a scientofic calculator I reccomed the site desmos

Step-by-step explanation:

Answer:

12a + 8b

Step-by-step explanation:

There isn't An outcome due to the fact that it needs more to be worked out, but that's the simplified form, I believe that's what they wanted to know.

Hope It Helps!

Answer:

-3.9762111, -2.5, \(\sqrt{11}\), 3.6, 24

Step-by-step explanation:

This is how you would see the numbers on a number line.  The larger the absolute value (distance from zero) the negative numbers are, the smaller their value.

If you put \(\sqrt{11}\) in your calculator, you will see that it rounds to about 3.3

The minimum pay of the top 10% of workers would be approximately $20.99 per hour.

To calculate the minimum pay of the top 10% of workers, we need to find the cutoff point or threshold value where only 10% of the workers earn more than that amount. We can use the concept of z-scores and the standard normal distribution to calculate this threshold.

First, we need to find the z-score corresponding to the top 10% of the distribution. We can do this using a standard normal distribution table or a statistical calculator. The z-score that corresponds to the top 10% is approximately 1.28.

Next, we can use the formula for z-score to find the raw score (x) corresponding to this z-score:

z = (x - μ) / σ

Where:

z = z-score

x = raw score (the minimum pay we want to find)

μ = mean (average wage)

σ = standard deviation

Rearranging the formula to solve for x:

x = z * σ + μ

Plugging in the values:

x = 1.28 * $2.45 + $17.85

Calculating the expression:

x ≈ $3.136 + $17.85

Rounding the result to the nearest cent:

x ≈ $20.99

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The option that will not help Chris when making appointments is using a scripted sales pitch. A more personalized approach that adapts to the prospect's needs and interests is generally more effective.

To improve the chances of getting appointments with prospects, Chris can employ various strategies. However, one of the following options will not be helpful in this regard. Let's evaluate each option:

1. Researching prospects: This involves gathering information about potential clients, such as their interests, needs, and preferences. By understanding their background, Chris can tailor his approach and increase the likelihood of securing appointments. This option is beneficial and should be considered.

2. Building rapport: Developing a connection with prospects helps establish trust and a positive relationship. By showing genuine interest and actively listening, Chris can create a comfortable environment that encourages prospects to engage and consider appointments. This option is also beneficial and should be considered.

3. Using a scripted sales pitch: A scripted pitch might come across as impersonal and rigid. It is more effective to have a flexible and tailored approach that responds to the specific needs of each prospect. This option may not be helpful in improving appointment chances, as it may hinder meaningful conversations and engagement.

4. Offering incentives: Providing prospects with incentives, such as discounts or rewards, can incentivize them to schedule appointments. This option is beneficial as it adds value to the proposition and increases the likelihood of securing appointments.

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Answer:

13.71 m

Step-by-step explanation:

Draw the tunnel so the width marks the zeroes at   (-12,0) and (12,0)

    then      y = a ( x+12)(x-12)   is the equation..

      ..to calculate 'a' sub in the point 9, 6   (where the width is 18)

               6 = a ( (9+12)(9-12)    shows a = -2/21

y = -2/21 (x+12)(x-12)       Max is when x = 0

      -2/21 ( 12)(-12)  = 288/21     =    13.71 m

Answer:

X = 50

Step-by-step explanation:

Both equations TOGETHER equal 180 degrees so you write the equation:

2x + 30 + x = 180

(combine X's. Subtract 30 from both sides):

3x = 150

(divide both sides by 3)

X = 50

Answer:

If a fair coin is tossed a great many times, you

expect the results to be 50-50 or close to it.

First coin:  24 and 26.   48%  and  52%.

Second coin:  25%  and  75% .

Third coin:  9/16  and  7/16.  56.25%  and  43.75% .

Fourth coin:  12,505  and  12,495 .  50.02%  and  49.98% .

Step-by-step explanation:

**answer not mine**

The number of possible groups of 12 employees that can be elected to be fired is C(30,12), and the number of ways in which a random election of 12 employees would result in 6 women and 6 men being elected is C(10,6) * C(20,6).

(a) The number of possible groups of 12 employees that can be elected to be fired is the number of combinations of 30 employees taken 12 at a time. This can be calculated using the formula: C(30,12) = 30! / (12! * (30 - 12)!).

(b) The number of ways in which a random election of 12 employees from the company would result in 6 women and 6 men being elected is the number of combinations of 10 women and 20 men taken 6 women and 6 men at a time. This can be calculated using the formula: C(10,6) * C(20,6) = 10! / (6! * (10 - 6)!) * 20! / (6! * (20 - 6)!).

These calculations give a rough idea of the number of possible combinations of employee that can be selected and the number of possible combinations that result in 6 women and 6 men being elected.

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Answer:

a. 24

b. 864

Step-by-step explanation:

a. The demand function is:

P = 60 - 2Q

When P = 12:

12 = 60 - 2Q

2Q = 60 - 12

2Q = 48

Q = 48/2 = 24

b. Consumer surplus is given as the integral of Demand function:

\(CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\\)

This implies that:

\(CS = \int\limits {60 - 2Q} \, dQ\\\\CS = 60Q - Q^2\\\\CS = (60 * 24) - 24^2\\\\CS = 1440 - 576\\\\CS = 864\)

Answer: 8/15 and 1 1/3

Step-by-step explanation:

The equivalent fractions for 1 3/5 and 1 1/3 using a common denominator are 8/15 and 10/15. This is because 1 3/5 can be written as 8/15 and 1 1/3 can be written as 10/15, and the denominator (bottom number) of both fractions are the same.

Our prediction is that it will take 130 students a total of 8,450 minutes to study for the test. So, the correct answer is "It will take them 8,450 minutes."

We can use the idea of proportionality to make a prediction about the time it will take 130 students to study for the test. Assuming that the amount of studying required for the test is the same for all students, we can say that the total amount of studying time is directly proportional to the number of students.

Let T be the time required for 130 students to study for the test. Then we can set up a proportion:

25 students / 1,625 minutes = 130 students / T

Solving for T, we get:

T = (130 students x 1,625 minutes) / 25 students = 8,450 minutes

Therefore, our prediction is that it will take 130 students a total of 8,450 minutes to study for the test. So, the correct answer is "It will take them 8,450 minutes."

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Answer:

t = (D/C - 1) (100/r)

Step-by-step explanation:

D = C(1+rt/100)

D/C = 1 + rt/100

D/C - 1 = rt/100

D/C - 1 = t (r/100)

Therfore,

Therefore the last option is correct.

Answer: t = (D/C - 1) / r/100

Step-by-step explanation:

The values of VT and ST for the given rectangle are 13 and 23.56 respectively.

In Euclidean planar geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equirectangular quadrilateral (360° / 4 = 90°), since equiangle means all angles are equal; or a parallelogram containing right angles. A rectangle with four sides equal in length is a square. The term "rectangular" is sometimes used to refer to a non-square rectangle. A rectangle whose vertices are ABCD is called a Rectangle.

The given Parameters:

RV = x + 6

US = 5x - 9

RS = 11

The value of VT and ST is calculated as follows;

from the given diagram we can conclude the following;

   2RV = RT = US

⇒ 2(x +6) = 5x -9

⇒ 2x + 12 = 5x -9

⇒ 21 = 3x

⇒ x = 7

RT = 2RV = 2VT = 2(7 + 6) = 26

VT = ¹/₂ x 26

VT = 13

The value of ST can be determined from Pythagoras theorem as follows;

   ST = \(\sqrt{RT^2 - RS^2}\)

⇒ ST = \(\sqrt{26^2 - 11^2}\)

⇒ ST = 23.56

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Answer:

Step-by-step explanation:

statement        reasoning

n = -36               given

-1/3 x -36 = 12    multiplcation property of equality

12 = 12                reflexive property

Answer:

it represents a distance between observed and predicted values

What is residual?

A residual in statistics is the discrepancy between an observed value and a value that was predicted.

Typically, the anticipated value is based on a model, like a linear regression model. The prediction error is represented by a residual, which can be either positive or negative. A positive residual indicates a difference between the observed and expected values, whereas a negative residual indicates the opposite. Specifically, the residual's absolute value is the distance between the observed value and the predicted value.

For evaluating a model's correctness, residuals are crucial. The residuals should be randomly distributed in the vicinity of zero if the model is valid. The residuals will be biased either in favor of or against the null hypothesis if the model is not accurate. A model's goodness of fit can also be evaluated using the residual. Relatively small residuals characterize a model with a high goodness of fit. Remainders that are far from zero will be present in a model with a low goodness of fit.

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What is your question?

9007 x 400

This??

Answer:

14 or 26

Step-by-step explanation:

I think its 14 or 26 I'm not sure very sorry

Answer: 37 not 100% sure

Step-by-step explanation: so we know the the measurements of some of the sides on this shape, lets find the sides we don't know first.

so the first measurement is 7.5 we can put 7.5m on the side farthest to the left because there equal lengths and we could also put 7.5 on the line that draw to make two shapes.

so that right there is 7.5x3 = 22.5

now we add the existing measurements

22.5+ 4+2+.5 = 29m

now last we have to found the measurement of the bottom line of the shape. so we know the top line is 7.5 we can add the line .5cm to the top for it to be equal in length at the bottom. so 7.5+.5= 8, therefore the bottom line is 8m

29+8= 37m

again i am not completey sure this is correct but this is what i remeber when trying to find the perimeter of a polygon. goodluck :)!

Answer:

the anwser is 45

Step-by-step explanation: