The histogram gives information about a fitness club.
Frequency
density
All members are below 80 years old.
25 members are below 20 years old.
9 members are above 65 years old.
a) Complete the histogram.
b) Work out the total number
of members of the club.
members
10
20
Members of a fitness club
30 40 50 60
Age in years
70
80

Answer:

there will be 7 roses as I thought

187/17 is 11, so x = 11. Substituting 11 in for x gives you 93 for the measure of angle Q and 87 for the measure of angle R.

So, the two factors of 16 that have a product of 16 and a sum of 10 are 8 and 2.

The first number is 16 and the second number is 10. We need to find two factors of 16 such that their product is 16 and their sum is 10.

Let's start by listing the factors of 16:

1, 2, 4, 8, 16

To find two factors that satisfy the given conditions, we can start with the largest factor (16) and work our way down, looking for a pair of factors whose sum is 10.

16 + 1 = 17

16 + 2 = 18

16 + 4 = 20

16 + 8 = 24

16 + 16 = 32

None of these pairs of factors add up to 10, so we need to move on to the next largest factor, which is 8.

8 + 1 = 9

8 + 2 = 10

We have found a pair of factors whose sum is 10, so we can check if their product is 16:

8 x 2 = 16

So, the two factors of 16 that have a product of 16 and a sum of 10 are 8 and 2.

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Answer:

x = -1/3

Step-by-step explanation:

1. 8-x-10 = 2x-1

2. 2x-1 = -x-2

3. 3x-1 = -2

4. 3x = -1

5. x = -1/3

Answer:

127

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To evaluate f(a + 2), substitute x = a + 2 into f(x), that is

f(a + 2) = \(\frac{3+a+2}{a+2-3}\) = \(\frac{5+a}{a-1}\)

The system of the equations are:

y = 10 + 4x

y = 25 + x

The height of tree is 30 inches tall.

The graph is given below.

The solution is (5, 30).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation

We have,

Maple tree:

The maple tree that is 10 inches tall is

growing 4 inches per month,

This can be written as,

y = 10 + 4x _____(1)

Where y is the height of the tree.

Oak tree:

The oak tree is 25 inches tall and is growing 1 inch per

month.

This can be written as,

y = 25 + x ______(2)

Where y is the height of the tree.

Now,

From (1) and (2),

In a few months, the two trees will be the same height.

So,

10 + 4x = 25 + x

4x - x = 25 - 10

3x = 15

x = 5

Now,

y = 10 + 4x = 10 + 4 x 5 = 10 + 20 = 30

y = 25 + x = 25 + 5 = 30

Thus,

The height of tree is 30 inches tall.

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Answer:

\((f-g)(x)=-x^{2}+2x+8\)

Step-by-step explanation:

\(\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)\)

                \(=2x+1-\left( x^{2}-7\right)\)

                \(=2x+1-x^{2}+7\)

                \(=-x^{2}+2x+8\)

Answer:

1/6

Step-by-step explanation:

all you need to do is multiply the numerator by the numerator and the denominator by the denominator.

In a case whereby sheri’s cab fare was $32, with a 20% gratuity and no taxes. sheri's write a check to the cab driver for $40, this can be considered as being reasonable amount because it is  $1.60 more to the cab driver.

A gratuity is a sum of money that customers typically give to specific service sector employees, including those in the hotel industry, in addition to the service's base charge for the work they have completed.

Given ; Sheri’s cab fare was $32 and the percentage of gratuity is 20%

amount of gratuity = 20% 0f 32 = 6.40

The fare of the cab  + gratuity = 32 + 6.40 = 38.40

Check to the cab driver for $40 ,  implies ($40 - $38.40)= $1.60 more to the cab driver.

Hence, it is reasonable.

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Answer:

D. 369,600 feet

Step-by-step explanation:

If 1 mile = 5,280 feet, just multiply 70 by 5,280 to get the answer!

Hope this helps! :)

Answer:

D

Step-by-step explanation:

Find the number of feet in 70 miles. 5280 * 70 = 369,600.

Answer:

11.43 seconds

Step-by-step explanation:

80/7 = 11.428 = 11.43( nearest hundredth)

Answer: V = 378 i think

Step-by-step explanation:

Answer:

x-6/2=2x/7

7x-42=4x

7x-4x=42

3x= 42

X = 42/3

Answer:

-435588

Step-by-step explanation:

12−3 ∙ 1210 ∙ 120

Multiply first

12-435600

Then subtract

-435588

Answer:

12^7

Step-by-step explanation:

I got it right in grandpoint

Answer:

sqrt(144) = ±12

Step-by-step explanation:

sqrt(144)

What number, when multiplied by itself, gives 144

12*12 = 144

-12*-12 = 144

sqrt(144) = ±12

Step-by-step explanation:

Rewrite  144  as  12 by2

√ 12 raise 2

Pull terms out from under the radical, assuming positive real numbers.

12

The expected profit per game is $37.50 and the standard deviation is $118.75.

To complete the probability distribution table, the probability of winning ($162) is 0.25 and the probability of losing (-1) is 0.75. This means that Tyler's expected profit per game is (0.25 x 162) + (0.75 x -1) = 37.50.

The standard deviation is the square root of (0.25 x (162-37.50)2) + (0.75 x (-1-37.50)2) = 118.75.

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Answer: A sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14 is:

"The data set is approximately normally distributed, with the majority of the data falling within a range of 6 to 22, with a few data points falling outside of this range. The mean of the data set is 14, and the standard deviation is 4."

Step-by-step explanation:

Answer:

  a.  $110,700

Step-by-step explanation:

You want to know the value of a $141,000 house after 15 years, if it declines in value 1.6% each year.

The value multiplier each year is ...

  1 - 1.6% = 1 -0.016 = 0.984

When the house value is multiplied by this factor 15 times, it becomes ...

  $141,000×0.984^15 ≈ $110,700

Russell's house is worth about $110,700.

The probability of the trainer choosing all the girls first or a boy is 1, or 100%.

To find the likelihood of occasion An or B, we really want to add the probabilities of the singular occasions An and B, and afterward deduct the likelihood of their convergence (the situation where the two occasions happen).

The likelihood of occasion A (picking the two young ladies) is 1/3, since there is just a single gathering with the two young ladies out of three potential gatherings.

The likelihood of occasion B (picking a kid first) is 2/3, since there are two gatherings with a kid as the principal player out of three potential gatherings.

The likelihood of their convergence (picking the two young ladies and having the main player be a kid) is 0, since it is difficult to have the two occasions happen all the while.

Consequently, P(A or B) = P(A) + P(B) - P(A and B) = 1/3 + 2/3 - 0 = 1.

The likelihood of the mentor picking every one of the young ladies first or a kid is 1, or 100 percent. This is on the grounds that the main other chance (picking the two young ladies and having the primary player be a kid) is inconceivable, so either occasion An or occasion B should happen.

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Answer:

the distance from Minneapolis to Duluth is 137 miles

Step-by-step explanation:

The computation of the distance from Minneapolis to Duluth is shown below:

Given that

The cost per mile is $0.40

And, the total trip cost is $54.80

So based on the above information

The distance from Minneapolis to Duluth is

= $54.80 ÷ $0.40

= 137 miles

Hence, the distance from Minneapolis to Duluth is 137 miles

The same would be considered

Answer:

The required number of buses=340/52=85/13buses

Step-by-step explanation:

Answer:5 in each

Step-by-step explanation:

35/7=5

Answer: 5 flowers in each vase.

Step-by-step explanation: We want to divvy up 35 flowers equally into each vase, so we divide 35 by 7 to get 5 flowers for each vase. (35/7=5)

Hope this helps! :)

Answer: 35 / 66

Step-by-step explanation:

Given the data bekow:

Outcome : - - - 1 - - - 2 - - - 3 - - - 4 - - - 5 - - - 6

Frequency : - 12 - - - 9 - - - 11 - - 8 - - - 12 - - - 14

What is the experimental probability of spinning an odd

P(spinning an odd) = (number of occurrence of an event / number of trials)

Odd outcomes = 1, 3, 5

Frequency of 1 = 12

Frequency of 3 = 11

Frequency of 5 = 12

Number of occurrences of odd = (12 + 11 + 12) = 35

Number of trials = 66

Therefore,

P(spinning an odd) = 35 / 66

Answer: 61

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.

Answer:

ST = 20

Step-by-step explanation:

Line segment RS and segment ST must add up to line segment RT

Step 1: Define

RS = 17

ST = x + 6

RT = 3x - 5

Step 2: Set up equation

mRS + mST = mRT

17 + x + 6 = 3x - 5

Step 3: Solve for x

x + 23 = 3x - 5

23 = 2x - 5

28 = 2x

x = 14

Step 3: Find mST

ST = x + 6

ST = 14 + 6

ST = 20

The provided declaration states that the initial cost of each blue ribbon was $1.25.

The items that make up a set are referred to as its elements (or members), and the collection is said to comprise the elements when they are said to pertain to it. A set typically consists of other mathematical things like integers, variables, or geometry points as its components.

Let's use "x" to represent the original price of each blue ribbon in dollars.

Since Ms. Bartley ordered 120 blue ribbons and the price was reduced by $0.75 for each one, the new price per ribbon is (x - 0.75) dollars. The total cost of the blue ribbons is given as $60. So, we can write the equation:

120(x - 0.75) = 60

Simplifying, we get:

120x - 90 = 60

Adding 90 to both sides:

120x = 150

Dividing by 120:

x = 1.25

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Answer:

C.

Step-by-step explanation:

Answer:

73%

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

Four and one-sixth is equal to 4.2. One-sixth is the same as 1/6, which is equal to 0.16666666666666666. When you add this fraction to 4, you get 4.166666666666667, which can be rounded to 4.2. Four and sixteen hundredths is equal to 4.16, which is close to 4.2 but not exactly the same. Six twenty-fifths is equal to 0.24, which is also not equal to 4.2. 416% is equal to 4.16, which is also not equal to 4.2.