Suppose a basketball player has made 291 out of 389 free throws. If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50. Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

Answer:

The probability of drawing a red marble then a yellow marble out of the bag is probably 0.48(Decimal) or 12/25(Fraction).

Answer:

40 possible answers

Step-by-step explanation:

20 answers from the 10 true or false questions and 20 answers from the 5 multiple choice questions

The required total amount paid for magazine and pencil is 108p.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube  roots, plus and minus.

Now it is given that,

Costing of a magazine = 83p

Costing of pencil = 45p

Thus, Total costing = Costing of a magazine + Costing of pencil

Putting the values we get,

Total costing = 83p + 45p = 128p

Now voucher gives 20p off

So, Final Costing = Total costing - Voucher off

⇒ Final Costing = 28p - 20p

⇒ Final Costing = 108p

this is the equired total amount paid for magazine and pencil.

Thus, the required total amount paid for magazine and pencil is 108p.

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The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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Given:

The objective is to find the line of reflection at which the triangle carries onto itself.

Explanation:

To obtain the reflection of the rectangle on itself, it must reflect over the midpoint of each parallel side of the rectangle.

The line passing through the midpoint of the rectangle in the x-axis is x= 2.

Similarly, the line passing through the midpoint of the rectangle in the y-axis is y = 1/2.

Thus, the reflecting lines are x = 2 and y = 1/2.

Hence, option (A) is the correct answer.

Answer:

12 hours

Step-by-step explanation:

1 pair per hour ?

To plot the point (-2√2, -22) on a Cartesian coordinate plane, follow these steps:

Draw the horizontal x-axis and the vertical y-axis, intersecting at the origin (0,0).Locate the point (-2√2) on the x-axis. Since -2√2 is negative, move to the left from the origin. To find the exact position, divide the x-axis into equal parts and locate the point approximately 2.83 units to the left of the origin.Locate the point (-22) on the y-axis. Since -22 is negative, move downward from the origin. To find the exact position, divide the y-axis into equal parts and locate the point approximately 22 units below the origin.Mark the point of intersection of the x and y coordinates, which is (-2√2, -22).The plotted point will be located in the fourth quadrant of the coordinate plane, to the left and below the origin.

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Answer:

f(3) = g(3)

The last 4 answer are below in bold.

Step-by-step explanation:

The graphs intersect at the point where x = 3.

f(3) and g(3) mean the value of f(x) and g(x) when x = 3.

f(3) and g(3) are both equal to 6 at this point , so f(3) = g(3).

f(2) = 0 and g(-2) = 0

Both cost the same for 50 texts.

h(x) = 1/4 x

When x = 10,  f(x) = 10/2 + 8 = 13.

According to the question we have  approximately 99.74 percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

To answer this question, we will use the normal distribution formula and z-score.

First, we need to find the z-score for the lower limit of $1.20:

z = (1.20 - 1.50) / 0.10 = -3

Next, we need to find the z-score for the upper limit of $1.80:

z = (1.80 - 1.50) / 0.10 = 3

Now, we can use a z-table to find the area under the curve between these two z-scores.

The area to the left of z = -3 is 0.0013, and the area to the left of z = 3 is 0.9987.

To find the area between these two z-scores, we subtract the area to the left of z = -3 from the area to the left of z = 3:

0.9987 - 0.0013 = 0.9974

Therefore, approximately 99.74% of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

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The used study design was Cross-sectional.

Hence option D is correct.

Since we know that,

A cross-sectional study design is a type of observational study in which data is collected at one time point from a group of individuals to assess the prevalence of a particular characteristic or condition of interest.

In this case, the researchers conducted an anonymous survey on the first day of classes to determine the prevalence of smoking among new students in the university.

The prevalence of smoking was measured in both men and women, providing a snapshot of the current smoking habits of the study population.

Since the data was collected at a single point in time, this study design is classified as cross-sectional.

To determine the prevalence of smoking,

The researchers would have calculated the percentage of smokers in the study population.

Therefore, the prevalence of smoking among new students in the university is 22 percent among women and 28 percent among men.

Hence the study design is Cross-sectional.

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Answer:

Step-by-step explanation:

Mean income of 99 people = $ 400

Sum of income of 99 people = 400 * 99 = $ 39600

Income of a woman = $ 1500

Income of 100 people = 39600 + 1500 = $41100

Mean of 100 people = 41100/100 = $411

411 - 400 = $11

Mean income increases by $11

Answer:

A.( 3m+28)/4

Step-by-step explanation:

So basically since it is addition we just add 9 to -2 to get 7. So then the equation becomes (3m/4)+7. Then we will multiply 7 by 4 to get common denominator so it will be (3m+(7*4))/4 which is (3m+28)/4.

The solution to the equation 2r = 67.5 is r = 33.75, indicating that when r is multiplied by 2, it equals 67.5.

To solve the equation 2r = 67.5, we aim to find the value of r that satisfies the equation.

To isolate the variable r, we divide both sides of the equation by 2. This yields (2r) / 2 = 67.5 / 2.

By canceling out the denominator on the left side, we are left with r = 67.5 / 2, which simplifies to r = 33.75.

Therefore, the solution to the equation is r = 33.75. This means that when we substitute 33.75 for r and multiply it by 2, we obtain the value of 67.5, which satisfies the equation.

In summary, the equation 2r = 67.5 is solved by determining that the value of r is 33.75, indicating that when r is multiplied by 2, it equals 67.5.

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Answer:

The list of the numbers in ratio form is 18 : 22.5 : 13.5. Given the ratio of three numbers as 4 : 5 : 3. Total ratio = 4 + 5 + 3. Total ratio = 12. If the sum of the numbers is 54. For the ratio of 4: = 4/12 * 54 = 1/3 * 54 = 18. For the ratio of 5: = 5/12 * 54 = 270/12 = 22.5. For the ratio of 3: = 3/12 * 54 = 1/4 * 54 = 13.5. Hence the list of the numbers in ratio form is 18 : 22.5 : 13.5

Step-by-step explanation:

Answer:

the length of the gym will be 80 feet

Step-by-step explanation:

Answer:

B=20m

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The area of a triangle is calculated by multiplying height to the base and that divided by two

b × h ÷ 2 = 120

b × h = 240

b × 12 = 240

b = 20

Step by step explanation:

Answer:

525 times

The Venn diagram accordingly, you will be able to find the number of students who passed in Science and Mathematics as well as the number of students who passed in only one subject (Science or Mathematics). iii.

To solve this problem using a Venn diagram, let's consider three sets:

M: Students who passed in Mathematics

S: Students who passed in Science

T: Total number of students (120)

Based on the information given, we know that:

M only = 2(S only) [The number of students who passed in Mathematics only is twice the number of students who passed in Science only]

M ∩ S = 50 [50 students passed in both subjects]

(M ∪ S)' = 40 [40 students failed in both subjects]

Let's fill in the Venn diagram step by step:

Step 1: Start by filling in the value for (M ∩ S), which is 50.

Step 2: Since (M only) is twice the value of (S only), we can assume (S only) = x.

(M only) = 2x.

Fill in the values accordingly.

Step 3: We know that (M ∪ S)' = 40, which means 40 students failed in both subjects.

We subtract 40 from the total number of students (T) to get the remaining students who passed in at least one subject [(M ∪ S)].

Step 4: Since we know the values of (M ∩ S), (M only), (S only), and (M ∪ S), we can calculate the values for (M) and (S) using the formulas:

M = (M only) + (M ∩ S)

S = (S only) + (M ∩ S)

Step 5: Calculate the values for (M) and (S) and fill in the Venn diagram accordingly.

Step 6: To find the number of students who passed in Science only, we subtract (M ∩ S) from (S):

(S only) = S - (M ∩ S)

Step 7: To find the number of students who passed in Mathematics only, we double the value of (S only):

(M only) = 2(S only)

Step 8: To find the number of students who passed in only one subject, we sum up (M only) and (S only):

Only one subject = (M only) + (S only)

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Answer:

Step-by-step explanation:

dad

Answer:

40

Step-by-step explanation:

3a + 2b =

3(10) + 2(5)

30 + 10 = 40

I hope this helps!

Have a great day!

Answer:

40

Step-by-step explanation:

This one is simple, just plug the numbers into the equation:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

                 a = 10           b = 5

                         3a + 2b

                               ↓

                       3(10) + 2(5)

                               ↓

                          30 + 10

                               ↓

                   Our answer is  40

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Have a good one

~Siascon~

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

the probability of at least two person have same birthday would be: 100%-99.72%= 0.28%

In this question, you are asked the probability for any of the 2 person to have the same birthday. To answer this it will be easier to calculate how much the probability for no one has same birthday. Let say the first person birthday is 1. Then the next person birthday should be other than 1, which mean 364 possible days out of 365 days.

Then the calculation for 2 people would be:  

(365!/365-2!)/(365^(2)= (365!/363!)/ 365^2=  0.9972=99.72%

Then the probability of at least two person have same birthday would be: 100%-99.72%= 0.28%

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Step-by-step explanation:

I believe the answer is C

The equation used to find the distance of the flowerbed from the hive is called the "time equation".

The flowerbed is 900 feet far from the hive.

Find the traveling time

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the traveling time is

16min - 12min = 4 min

Convert the Minutes to seconds

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds

Find the time each way

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same

r = 10 m/s

r1 = 6 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

10 m/s *t = 6 m/s (240 - t)      

Remove the brackets on the right.

10 * t = 6*240 - 6t                

Combine the like terms on the right.

10t = 1440 - 6t                        

Add 4t to both sides

10t + 6t = 1440 - 6t + 6t          

Combine

16t = 1440                            

Divide both sides by 16

16t/16 = 1440/16                    

Do the division

t = 90                                    

Find the height

d = ?

r = 10 m/s

t = 90 second

d = r*t

d = 10 * 90 = 900 feet

The flowerbed is 900 feet far from the hive.

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The complete question is:

A babe flies at 10 feet per second directly to a flowerbed from its hive. the bee stays at the flowerbed for 12 minutes and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 16 minutes.

What equation can you use to find the distance of the flowerbed from the hive?

Using food labling :

The product contains 13 grams of total fat and 20 percent of the daily value. this means that

13 grams of fat provides 20% or one-fifth of the recommended total daily fat intake.

Food level :

food labels contain a lot of information about most packaged foods. Food labels are called "Nutrition Facts".itle or Job:

The US government requires food labels on most packaged foods. Labels provide complete, useful and accurate nutritional information. The government encourages food manufacturers to improve the quality of their products so that people can make healthier food choices.

Serving Sizes

Label serving sizes are based on the average amount of food people typically eat.

Label serving sizes are not necessarily healthy serving sizes.

Amount Per Serving

Total calories per serving are displayed in large print. This allows the consumer to count the number of calories per serving like total fat. Sodium; Total Carbs

PERCENT DAILY VALUE (% DAILY VALUE)

Many nutrients have a Percent Daily Value (%DV). This indicates how much each serving contributes to the total recommended daily intake of each nutrient. increase. This means that 13 grams of fat provides 20% or one-fifth of the recommended total daily fat intake.

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Answer:

Identity Property of Multiplication

Step-by-step explanation:

Required

State with property that describes the question

I'll answer this question using the following instances;

\(1.\ \frac{x}{3} = 1\)

\(2.\ 3x = 1\)

For the first expression, we multiply both sides by 3

\(3 * \frac{x}{3} = 1 * 3\)

\(x = 1 * 3\)

\(x = 3\)

For the second; divide both sides by 2

\(\frac{3x}{3} = \frac{1}{3}\)

\(x = \frac{1}{3}\)

The property applied in both expressions is the identity property of multiplication

Answer:

b = 20, c = 160

Step-by-step explanation:

b and 20 degrees are vertical angles, so they are equal.

b (20 degrees) and c are on a line together, so they add up to 180. 180 - 20 = 160 degrees

The relation is a function because it passes the vertical line test. This means, if we draw a vertical line anywhere in the graph, it will only intersect the graph at one point.

The domain of this relation or the possible values of x in this relation is from negative infinity to positive infinity (-∞, ∞).

The range of this relation is from -1 to infinity [-1, ∞). As we can see in the graph, the vertex of the parabola is at the minimum point located at (-3, -1). Therefore, the possible value of y starts from -1 and runs to infinity.

The rounded area of the figure is approximately 86.9 square units.

To find the area of the figure, we need to calculate the sum of the area of the rectangle and the area of the semicircle.

Rectangle Area:

The length of the rectangle is 14 units and the width is 8 units. The area of a rectangle is calculated by multiplying its length and width. Therefore, the area of the rectangle is 14 × 8 = 112 square units.

Semicircle Area:

The semicircle is removed from one of the short sides of the rectangle. The radius of the semicircle is half the width of the rectangle, which is 8/2 = 4 units.

The area of a semicircle is given by (π × r^2) / 2, where r is the radius. Therefore, the area of the semicircle is (π × 4^2) / 2 = 8π square units.

Total Area:

Now we can calculate the total area by subtracting the area of the semicircle from the area of the rectangle:

Total Area = Rectangle Area - Semicircle Area

= 112 - 8π

To round to the nearest tenth, we need to evaluate the numerical value of π. Using an approximation of π as 3.14, we can calculate the total area:

Total Area ≈ 112 - 8 × 3.14

≈ 112 - 25.12

≈ 86.88

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The ratio is given as 9 / 26

Total number of miles in the race: 26 miles

Number of miles you've run so far: 17 miles

Miles left to run = Total miles in the race - Miles you've run so far

Miles left to run = 26 miles - 17 miles

Miles left to run = 9 miles

Now, to find the ratio of the number of miles you have left to the total number of miles in the race:

Ratio = Miles left to run : Total miles in the race

Ratio = 9 miles : 26 miles

So the ratio is 9:26.

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