I need help plz I have a quiz and idk how to do these

The number that could represent the number of students in class is = X + 2x

Let us take the number of boys to be = X

Then the number of girls is twice that of the boys. That is, y = 2x

Therefore the total number of students in the class z = X + 2x

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Answer:

C. Sales tax

Step-by-step explanation:

FICA taxes are payroll taxes which get deducted from your payroll as social security tax and medicare tax. Income tax is another tax which is withheld from you earnings as well.

Sales tax is not withheld from your earnings even if you collected the sales tax as a retailer. It is a liability until you submit all of the related tax to the government.

Thus, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.

The first step in solving this problem is to use the given information to calculate the proportion of players who are both amateurs and ranked in the top 40 golfers in the world.

Since being a top 40 golfer and being an amateur are mutually exclusive, the proportion we're interested in is the proportion of amateur players who are not in the top 40.

We know that 15% of players are in the top 40, so 85% of players are not. We also know that 67% of players are amateurs, so 33% of players are not. To find the proportion of amateur players who are not in the top 40, we can multiply these two proportions:

0.85 x 0.33 = 0.2805

So, 28.05% of players in the tournament are amateurs who are not in the top 40.

Now, we can use this proportion to answer the question of what the probability is of selecting an amateur player who is not in the top 40, given that the player is an amateur. This is simply the proportion we just calculated:

P(amateur and not top 40) = 0.2805

Therefore, the probability of selecting an amateur player who is in the top 40 is:

P(top 40 | amateur) = 1 - P(amateur and not top 40)
= 1 - 0.2805
= 0.7195 or 71.95%

In other words, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.

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The probability of getting a score of 80% or higher on a 5-question true/false quiz when guessing (with a 50-50 chance of being correct) on every question is 1/16, while the probability of getting a score of 80% or higher on a 20-question true/false quiz is 1/1048576.

        What is the probability of getting a score of 80% or higher on a 5-question true/false quiz when guessing (with a 50-50 chance of being correct) on every question

                  A quiz consists of 5 questions. A student guesses each of the questions. The probability of guessing a question correctly is 0.5.

        Therefore, the Probability of getting a score of 80% or higher is = Probability of getting 4 or 5 questions right. To get 4 out of 5, we have to consider all possibilities of choosing 4 out of 5 questions correctly. A number of ways of choosing 4 out of 5 questions correctly is 5.

       A number of ways of guessing the 5 questions is 2^5.

       Therefore, the probability of getting 4 out of 5 correct is 5/32. To get 5 out of 5, we have to consider only one possibility.

       A number of ways of guessing 5 questions is 2^5.

       Therefore, the probability of getting 5 out of 5 correct is 1/32.

        So, the probability of getting a score of 80% or higher = Probability of getting 4 or 5

questions right = 5/32 + 1/32 = 6/32 = 3/16.

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What if instead, the quiz has 20 questions,

           If the quiz has 20 questions, the probability of getting a score of 80% or higher is 1/2^20 = 1/1048576.

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The Total Daily Energy Expenditure of a man aged 19-50 years is approximately 2900 calories a day

What is Total Daily Energy Expenditure?

Total Daily Energy Expenditure is the amount of calories burnt in a 24 hours period

Here,

The average man aged 19-50 years burns out approximately 2900 calories in a 24 hours period.

So, the average man aged 19-50 years has a daily energy expenditure rate of approximately 2900 calories a day.

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Answer:

0.0000002702

Step-by-step explanation:

2.702 * 10^-7

Answer:

-1, 0, 1, 2, 3

Step-by-step explanation:

To answer this you have to understand 2 main things

These are: the symbols and what an integer is.

An integer is simply a whole number. For example: 1, 10, 3 etc.

The symbols, <= (first symbol) and < (second symbol) are very important. These tell us the range X is in.

<= means less than or equal to.

< means less than.

So we can write: -1 is less than or equal to x and x is less than 4.

If we follow this and also keep in mind we only want whole numbers then we can see the lowest X can be is -1 and the highest it can be is 3 since it has to be less than 4.

Then it is also everything inbetween them which is:

-1, 0, 1, 2, 3

The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)

Let x be the height of the Monument. Then we have:

x / 285 = 5 / 2.5

Cross-multiplying, we get:

2.5x = 5 * 285

Simplifying, we get:

x = 570

Therefore, the Monument is 570 feet tall.

To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

Set up a proportion using the height and shadow length of the tourist and the monument:

(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)

Let x represent the height of the monument. Then:

x / 285 = 5 / 2.5

Now, solve for x:

x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet

The height of the monument is 570 feet.

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Answer:

x = 3

Step-by-step explanation:

\(3x - 2 = 10 - x\)

\(4x = 12\)

\(x = 3\)

Answer:

4x^18

Step-by-step explanation:

The square root of 16 is 4; the square root of x^36 is x^18.

Thus, the square root of 16x^36 is 4x^18

Answer:49

Step-by-step explanation:

Answer: 140 ft^2

Step-by-step explanation:

Triangle:

A = 1/2bh

A = 1/2(6 • 4)

A = 1/2(24)

A = 12

Square:

A = bh

A = 16 • 8

A = 128

Add them

128 + 12 = 140 ft^2

Answer:

7.21 ft

Step-by-step explanation:I don't know if i did it right but this is what I got.

If you multiply a certain number by 2.5, add 1.7 the expression is as follows:

2.5x + 1.7

Variables are letters use to represent numbers in a mathematical expression.

Therefore,

let the certain number = x

The certain number is multiplied by 2.5.Therefore,

Then , we add 1.7 to the product of 2.5 and x. Therefore,

The final expression is as follows:

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The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

The coordinates of point E are (x,y) is (0,5)

The length along a line or line segment between two points on the line or line segment.

As triangles ABC and ADE are similar, we have:

AB/AD = BC/DE = AC/AE

Using the coordinates of the given points, we can find the lengths of these sides:

AB =√(0-0)² + (4-0)² = 4

AD = √(0-0)² + (5-0)²= 5

BC = √(8-0)² + (0-0)²= 8

AC =√(8-0)²  + (0-4)² = √80

Substituting into the proportion above, we get:

4/5 = 8/DE = √80/AE

Solving for DE and AE, we have:

DE = 8 × 5 / 4 = 10

AE = √80× 5 / 4 = 5 ×√5

To find y, we can use the fact that the line segment DE is parallel to the y-axis, so the y-coordinate of point E is the same as that of point D (which is 5):

y = 5

Therefore, the coordinates of point E are (x,y) is (0,5)

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Answer:

4 \(\frac{1}{3}\)

Step-by-step explanation:

39 × \(\frac{1}{9}\)

39 times 1 is 39

39/9 is 4.33333333 Which is also, 4 \(\frac{1}{3}\)

By definition of the volume of cube, the side length of the cubic quart container is approximately equal to 9.818 centimeters.

A quart means a quarter of gallon and is equal to 946.353 cubic centimeters. The volume of the cube is equal to the cube of the side lengt, then:

x³ = 946.353

x = ∛946.353

x ≈ 9.818

By definition of the volume of cube, the side length of the cubic quart container is approximately equal to 9.818 centimeters.

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41/7 is approximately 5.86

5.86 is greater than 1

Therefore, 41/7 as a fraction IS greater than one.

Hopefully, that helped! :)

Answer:

=0=−6

Step-by-step explanation:

Answer:

$8,000

Step-by-step explanation:

40x20= .1s

8000=s

First option, the salesperson will earn 40*20=800 dollars.

For second option, the person will earn the amount he sells/10.

For them to be equal the second salesperson have to sell 800*10=8000 dollars of items to earn that as much money as the first salesperson.

The null hypothesis for this test is that the mean ECLSE test score for the university is equal to 1200. The alternative hypothesis is that the mean is not equal to 1200.

To perform the test, you will need to calculate the t-statistic and the p-value. The t-statistic is calculated by:

t = (sample mean - hypothesized mean) / (sample standard deviation/sqrt (sample size))

In this case, the sample mean is 1180, the hypothesized mean is 1200, the sample standard deviation is 100, and the sample size is 100. Plugging these values into the equation gives:

t = (1180 - 1200) / (100 / sqrt(100)) = -20 / 10 = -2

Next, you will need to calculate the p-value. The p-value is the probability of observing a t-statistic as extreme as the one calculated, given that the null hypothesis is true.

To calculate the p-value, you will need to use a t-distribution table or a software package to find the t-critical value for a one-tailed test with 99 degrees of freedom (since you have a sample size of 100) and a significance level of 0.05. The t-critical value is the value that defines the rejection region for the test. If the t-statistic falls in the rejection region, you can reject the null hypothesis.

If the p-value is less than the significance level of 0.05, you can reject the null hypothesis and conclude that the mean ECLSE test score for the university is not equal to 1200 at the 95% significance level. If the p-value is greater than or equal to 0.05, you cannot reject the null hypothesis and cannot conclude that the mean is different from 1200.

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Answer:

y-4=-7(x-3) and y=-3/8x-8

Step-by-step explanation:

Point slope form: y-y1=m(x-x1)

the slope is already -7.

We can the just plug in the values: y-4=-7(x-3)

For the 2nd problem we can plug in values as well: -2=3/8(16)+b.

-2=6+b. the y intercept is -8. The final form is y=-3/8x-8

*see attachement below for the diagram

Answer:

(252π + 20) cm²

Step-by-step explanation:

The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)

✔️Curved surface area of cylinder = 2πrh

r = ½(12) = 6 cm

h = 18 cm

C.S.A = 2*π*6*18 = 216π cm²

✔️Area of 1 base = πr²

r = ½(12) = 6 cm

Area = π*6²

Area = 36π

✔️Slant height of the cone = 10 cm

✅The surface area of the resulting solid = 216π + 36π + 2(10)

= (252π + 20) cm²

Answer:

96

Step-by-step explanation:

8x6=48

48x2=96

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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