data were collected on the number of days per week that members visit a certain fitness center. the values varied from 0 to 7, and a distribution of relative frequencies for the values was created. let the random variable x represent the number of days per week that a member visits. the mean of x is 3.12. which of the following statements is the best interpretation of the mean? responses each member visits the fitness center 3 or 4 days per week. each member visits the fitness center 3 or 4 days per week. the average number of days that each member visits the fitness center is 3.12 days per week. the average number of days that each member visits the fitness center is 3.12 days per week. half the members visit the fitness center 3 days per week or less, and the other half visit 4 days per week or more. half the members visit the fitness center 3 days per week or less, and the other half visit 4 days per week or more. the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. for a random sample of members selected from the population, the average number of visits for the sample will be 3.12 days per week.

Answer:

45

Step-by-step explanation:

Add the candidates that were selected and the ones put on hold 12% + 28%= 40%

100%-40%= 60%

Since 40% are selected/on hold then the remainder or 60%, will be rejected.

Then multiply by the total # of candidates to find the amount of people rejected

0.60* 75= 45

This means 45 people will be rejected

45 persons expected to be rejected.

The percentage formula is used to calculate the amount or percentage of anything in terms of 100. In its most basic form, % means "per hundred." The percentage formula is used to express a number between zero and one. It is a number that is expressed as a fraction of 100. It is represented by the sign% and is mostly used to compare and find ratios.

We have,

12% of candidates can be selected.

28% of candidates can be put on hold for the next hiring date.

Total candidate interviewed = 75

Now, the number of candidates to be rejected

= 100% - (28% + 12%)

= 60%

So, 60% of the 75 interviewed to be rejected

= 60/100 (75)

= 3/5 (75)

= 3 (15)

= 45

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Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Work Shown:

If the blue die shows a "2", then the red die must take on the values from the set {3, 4, 5, 6} in order for the sum of both dice to be larger than 4.

2+3 = 5

2+4 = 6

2+5 = 7

2+6 = 8

There are 6*6 = 36 total ways to roll two dice and exactly 4 ways to get the conditions stated above. The probability of getting a sum greater than 4 is 4/36 = 1/9.

Answer:

  5√3 ft/s

Step-by-step explanation:

Let h represent the horizontal distance of the kite from the person. Let s represent the string length. Then the Pythagorean theorem tells us ...

  s^2 = 100^2 + h^2

  2s·ds/dt = 0 + 2h·dh/dt

  ds/dt = (h/s)·dh/dt

So, we need to know the horizontal distance when s=200.

  200^2 = 100^2 + h^2

  40000 -10000 = h^2

  h = 100√3

Substituting known values into the equation for ds/dt, we have ...

  ds/dt = (100√3)/(200)(10 ft/s) = 5√3 ft/s

The string must be let out at 5√3 ft/s when it is already 200 ft long.

The mean of the test is 20.

To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.

Let's denote the mean of the test as μ, and the standard deviation as σ.

We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:

29 = μ + 3σ

Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:

23 = μ + σ

Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.

From the second equation, we can isolate μ:

μ = 23 - σ

Substituting this value into the first equation, we have:

29 = (23 - σ) + 3σ

Simplifying the equation, we get:

29 = 23 + 2σ

2σ = 29 - 23

2σ = 6

σ = 3

Substituting the value of σ back into the second equation, we find:

μ = 23 - 3

μ = 20

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Answer:

h0:u ≥ 21.1

h1: u < 21.1

t statistics = -2.632

pvalu = 0.007

there is sufficient evidence to support claim

Step-by-step explanation:

null hypothesis

h0 = u≥21.1

alternative = u < 21.1

to get test statistics

barx - u / s/√n

= 19.4 - 21.1 / 3.23/√25

= -2.632

we calculate for the p value given this test statistics and the degree of freedom = 25-1 = 24

lest tailed p value = 0.0073 this is approximately 0.007

p value is less than the level of significance so we reject h0

we conclude that we have enough evidence to support h1, mean tar conent is less than 21.1

The equation of the parallel line will be y = (2/3)x - 8/3.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The equation of the line is given below.

y - 4 = 2/3 (x - 3)

The equation of the line that is parallel to the given line will be written as,

y = (2/3)x + c

The equation of the line that passes through (1, -2), then we have

- 2= (2/3)(1) + c

- 2 = 2 /3 + c

c = - 8 / 3

Then the equation of the parallel line will be y = (2/3)x - 8/3.

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Answer:

y = 36

Step-by-step explanation:

given y varies directly  with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition when x = 5 , y = 15

15 = 5k ( divide both sides by 5 )

3 = k

y = 3x ← equation of variation

when x = 12 , then

y = 3 × 12 = 36

9x-2+52=180

That's the answer

Answer:

14.44444444444444444444444444444444444

Step-by-step explanation:

9x - 2 + 52 = 180

simplify

9x +50 = 180

9x = 130

14.4444444444

Answer: The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value).

In this case, the function s(x) = 6/25 - x^2 has no restrictions on the input values for x, so the domain of the function is all real numbers.

Therefore, the domain of the function s(x) = 6/25 - x^2 is:

(-∞, ∞)

This means that the function can be evaluated for any real value of x.

Step-by-step explanation:

Answer:

A" (2, 12)

B" (8,8)

C" (6, 4)

Step-by-step explanation:

For each point P(x, y) of the image, the translations are as follows:

Translate P(x, y) by <2, 3> \(\longrightarrow\) P'(x + 2, y + 3) \(\longrightarrow\) P'(x', y')

Dilate P'(x', y') by 2 \(\longrightarrow\) P'' (x'', y'') \(\longrightarrow\) P(2x', 2y')

Point      \(\longrightarrow\)           Translate <2, 3>                   \(\longrightarrow\)       Dilate by 2

A(-1, 3)    \(\longrightarrow\)         A'(-1 +2, 3 + 3) =>  A'(1, 6)       \(\longrightarrow\)            A''(2, 12)

B(2, 1)     \(\longrightarrow\)         B'(2 + 2, 1 + 3) =>  B'(4, 4)       \(\longrightarrow\)           B"(8, 8)

C(1, -1)    \(\longrightarrow\)          C'(1 + 2, -1 + 3) =>  C'(3, 2)     \(\longrightarrow\)            C"(6, 4)

To see if these ratios make a proportion let us first change them into fractions

= 4:10 = 4/10 = 4 ÷ 2 / 10 ÷ 2 = 2/5

= 6:15 = 6/15 = 6 ÷ 3 / 15 ÷ 3 = 2/5

= Since both these ratios are getting simplified into a same fraction , they are proportional .

Therefore , 4 : 10 :: 6 : 15 ( 4 : 10 is proportional to 6 : 15 )

Answer:764.11

Step-by-step explanation:

Answer:

21/4

Step-by-step explanation:

3/4 x 7

you need to multiply 7 by the 3 which gives you 21

so 21/4

Answer:

_20

Step-by-step explanation:

that is my answer I just use calculator and I get that answer

It would take 21 weeks for the population to surpass 16,000.

The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.

For the population to surpass 16,000, we can set up the following equation:

15,000 + 2500 sin(πt/52) = 16,000

Subtracting 15,000 from both sides, we get:

2500 sin(πt/52) = 1000

Dividing both sides by 2500, we get:

sin(πt/52) = 0.4

We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:

πt/52 = sin⁻¹(0.4)

Multiplying both sides by 52/π, we get:

t = (52/π) sin⁻¹(0.4)

Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.

t = (52/π) (0.4115)

t = 21.02

Therefore, it would take 21 weeks for the population to surpass 16,000.

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Answer:

1

Step-by-step explanation:

36 months is equal to 3 years.

There are 12 months in a year.

36/12=3

3/3=1

The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Answer:

Step-by-step explanation:

B

2 multiplied by 15 is 30

15 x 2 = 30

Answer:

2 multiplied by. space is 30

Step-by-step explanation:

15 ×2 =30

Given:

The radius of smaller cylinder is 2 m.

The radius of larger cylinder is 8 m.

The height of smaller cylinder is 14 m.

Both cylinders are similar.

To find:

The height of larger cylinder.

Solution:

It is given that the both cylinders are similar to each other.

We know that the corresponding sides of similar figure are proportional.

Let height of the larger cylinder is \(h_2\).

\(\dfrac{r_1}{r_2}=\dfrac{h_1}{h_2}\)

\(\dfrac{2}{8}=\dfrac{14}{h_2}\)

\(\dfrac{1}{4}=\dfrac{14}{h_2}\)

On cross multiplication, we get

\(1\times h_2=14\times 4\)

\(h_2=56\)

Therefore, the height of the larger cylinder is 56 m.

Answer:

y = 2x - 16

Step-by-step explanation:

I even graphed it for you⤴⤴⤴ :)

If this was helpful to ya, please mark me brainliest. :)

Answer:

8 and 9

Step-by-step explanation:

consider perfect squares either side of 78

64 < 78 < 81 , then

\(\sqrt{64}\) < \(\sqrt{78}\) < \(\sqrt{81}\) , that is

8 < \(\sqrt{78}\) < 9

Answer:

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

There are 3 of 3's  and 2 of 5's out of 12 sides.

The probability of rolling either 3 or 5 is:

Answer:

36

9

1/4

Step-by-step explanation:

hope I helped ya :]

The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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Answer:

116 / 45

Step-by-step explanation:

To add fractions with unlike denominators, we need to find their common denominator.

One way to do this is by finding the least common multiple (LCM) of the denominators.

The LCM of 3, 5, 9 and 15 is 45.

We then convert each fraction so that its denominator is 45:

1/3 = 15/45

3/5 = 27/45

7/9 = 35/45

13/15 = 39/45

Now we can add the fractions:

15/45 + 27/45 + 35/45 + 39/45

To simplify, we can add the numerators and keep the common denominator:

(15 + 27 + 35 + 39) / 45

Which gives us:

116 / 45

Therefore, the sum of the fractions 1/3 + 3/5 + 7/9 + 13/15 is, 116 / 45.

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.