Henry is a high school basketball player. In a particular game, he made some free
throws (worth one point each) and some two point shots. Henry made a total of 9
shots altogether and scored a total of 16 points. Determine the number of free throws
Henry made and the number of two point shots he made.

Answer:

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%

Answer:

The rate is 0.42 pumpkin pies per person

Step-by-step explanation:

In this question, we are to calculate the amount of pie eaten per person.

This is a rate question.

We have 5 pies and 12 hungry people who ate the same amount of pies as the next person.

The unit rate which is pumpkin pie person is mathematically calculated by dividing the number of pumpkins pies by the number of persons

Mathematically that would be 5/12 = 0.42 pies per person approximately

Answer:

Step-by-step explanation:

This question will be solved using the combination formula which is nCr because the order is unimportant and we need the selection.

11C6

11!/(11-6)!*6!

= 462

Therefore the manager can select the restaurant in 462 ways.

Answer:

462

Step-by-step explanation:

There 6 slots available to fill in the restaurants options

- For the 1st slot, there are 11 ways to choose

- For the 2nd slot, there are 10 ways to choose

- For the 3rd slot, there are 9

- For the 4th slot, there are 8

- For the 5th slot, there are 7

- For the last 6th, there are 6 ways

So in total there would be 11*10*9*8*7*6 = 332640 ways to choose. But since the order of these 6 slots don't matter, there are actually 6! = 720 ways to order these 6 slots. So the actual number of possible ways is

332640 / 720 = 462

Answer:

Where's the data?

Step-by-step explanation:

Answer:

24.8746859277

Step-by-step explanation:

sqrt(625 - 25/4)

sqrt[(2500-25)/4]

sqrt(2475/4)

sqrt(618.75)

24.8746859277

Answer:

24.87

Step-by-step explanation:

Answer:

71% probability that the athlete is either a football player or a basketball player

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that an athlete is a football player.

B is the probability that an athlete is a basketball players.

We have that:

[tex]A = a + (A \cap B)[/tex]

In which a is the probability that an athlete plays football but not basketball and [tex]A \cap B[/tex] is the probability that an athlete plays both these sports.

By the same logic, we have that:

[tex]B = b + (A \cap B)[/tex]

23% of the athletes play both football and basketball.

This means that [tex]A \cap B = 0.23[/tex]

26% are basketball players

This means that [tex]B = 0.26[/tex]. So

[tex]B = b + (A \cap B)[/tex]

[tex]0.26 = b + 0.23[/tex]

[tex]b = 0.03[/tex]

68% of the athletes are football players

This means that [tex]A = 0.68[/tex]. So

[tex]A = a + (A \cap B)[/tex]

[tex]0.68 = a + 0.23[/tex]

[tex]a = 0.45[/tex]

What is the probability that the athlete is either a football player or a basketball player

[tex]A \cup B = a + b + (A \cap B)[/tex]

[tex]A \cup B = 0.45 + 0.03 + 0.23 = 0.71[/tex]

71% probability that the athlete is either a football player or a basketball player

Answer:

71%

Step-by-step explanation:

Applying Venn's diagram

probabilty that an athlete plays either football or basketball

P ( A ∪ B ) = a + b + ( A  ∩ B )  equation 1

note:

P ( A ) = a + ( A ∩ B )

( A ∩ B ) = 23% = 0.23

a = P( A ) -  0.23 = 0.68 - 0.23 = 0.45

P ( B ) = b + ( A ∩ B )

b = P ( B ) - ( A ∩ B ) = 0.26 - 0.23 = 0.03

back to equation 1

P ( A ∪ B ) = 0.45 + 0.03 +( 0.23 )

                 = 0.48 + ( 0.23 ) = 0.71 = 71%

P( A ) = probability of football players

P ( B ) = probability of basketball players

a = probability of playing football but not basketball

b = probabilty of playing basketball but not football

Answer:

The answer is D. Equilateral

Step-by-step explanation:

Answer on edg

The triangle ΔJLM is an equilateral triangle. Then the correct option is D.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In an isosceles triangle, two angles and their opposite sides are equal.

In an equilateral triangle, all the angles and sides of the triangle are congruent.

Circle M is shown. Line segments MJ and ML are radii.

Tangents JK and LK intersect at point K outside the circle.

Major arc JL is 300 degrees.

Then the measure of the minor arc will be

Major arc + minor arc = 360°

       300° + minor arc = 360°

                   Minor arc = 60°

Then the measure of angle ∠MLJ will be

Minor arc = ∠LMJ = 60°

Then the sides MJ and ML congruent, then their opposite angles are also congruent.

∠MJL = ∠MLJ

Then the measure of the angle ∠MLJ will be

∠MJL + ∠MLJ + ∠LMJ = 180

   ∠MLJ + ∠MLJ + 60° = 180°

                        2∠MLJ = 120°

                          ∠MLJ = 60°

All the angles of the triangle are congruent.

Then the correct option is D.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Combine like terms

1. Add 3b and 5b (combine like terms)

2. After adding you are supposed to get 8b

3. The -2 would stay as it is because we can't add it to 8b

4. So the answer would be 8b-2

Answer:4.5

Step-by-step explanation:

2+3+1=6, 3 divided by 6 equals to 1/2. 1/2 times 9 equals 4.5 pounds of walnuts

Answer:

4.5

Step-by-step explanation:

Since the pecan to walnut to cashew ratio is 2:3:1, it follows that the walnut ratio to all of the nuts is equal to 3/2+3+1. Thus, there were 1/2 x 9 = 4.5 pounds of walnuts in the mixture.

Answer:

Step 1: Calculate

We calculate the square root of 30 to be:

√30 = 5.47722557505166

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

5.47

Step 3: Round

Round 5.47 so you only have one digit after the decimal point to get the answer:

5.5

To check that the answer is correct, use your calculator to confirm that 5.52 is about 30.

Answer:

I think its 5.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of rectangular prism = 334.8 cubic meter

length * width * height = 334.8

18 * 6 * height = 334.8

[tex]height= \frac{334.8}{6*18}\\[/tex]

= 3.1 m

Answer:

Bob was looking for a shade sail that was big enough and wide to cover his hotube. The legs were 6 by 8 but he didnt know how long the hypotinuce was. So he use pythagorean theorm to sove fot the unknown side.

A^2 + B^2 = C^2 --> 6^2 + 8^2 = C^2 --> he square rooted the 6 and 8 and got (36 + 64 = c^2) 100 to get c he had to squar root that. He found out that the missing side was 10 inch long.

Step-by-step explanation:

To find the number of locks on the canal, divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. Therefore, there are 15 locks on the canal.

To find the number of locks on the canal, we need to divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. We can divide 10 by 2/3 to find the number of locks.

Using the rule of dividing by a fraction, we can rewrite the expression as 10 ÷ \(\frac{2}{3}\). This is equivalent to multiplying by the reciprocal of the fraction, so the expression becomes 10 × \(\frac{3}{2}\). Now we can multiply 10 by 3 and divide by 2 to get the answer.

10 × 3 = 30
30 ÷ 2 = 15

Therefore, there are 15 locks on the canal.

https://brainly.com/question/2273245

#SPJ2

Answer:

9x^4-25x^2+16

Step-by-step explanation:

(x^2−1)(3x−4)(3x+4)=(*)

(x^2−1)((3x)^2−4^2) =

(x^2 - 1)(9x^2-16)=

x^2*9x^2 - x^2*16 - 1*9x^2 +16=

9x^4-16x^2-9x^2+16=

9x^4-25x^2+16

(*) (A-B)(A+B) =A^2 - B^2

Answer:

15

Step-by-step explanation:

TV = TU+UV

     = 12 + 3

TV = 15

Answer:

$2.50 per gallon

Step-by-step explanation:

Answer:

The answer is the first graph.

Step-by-step explanation:

I did it on edge. I got it wrong the first time because I used an answer from this question. Because of that, I reported it. Now I have the correct answer lol.

The slope and the intercept for the lines 2 x minus 5 y = negative 5 and y = two-fifths x + 1 are the same thus the line will coincide so, option A is the correct graph.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

2 x minus 5 y = negative 5 and  y = two-fifths x + 1,

Write the above phrase in mathematical form,

2x - 5y = -5  and y = 2 / 5 x + 1

5y = 2x + 5 and  y = 2 / 5 x + 1

y = 2 / 5 x + 1 and y = 2 / 5 x + 1

As we can see here, the slope and the intercept are the same so, the lines are collinear.

Thus, the line will coincide.

To know more about Graph:

https://brainly.com/question/10712002

#SPJ2

Answer:

2513

Step-by-step explanation:

A=πr^2

A=π40^2

A=π x 1600

A=5026

5026÷2=2513

Answer:

its 628

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 * 4 = 40 times

It’s 5024 Divide by 314 which equals 16 you got it wrong but good try

Step-by-step explanation:

Answer: V = 97.08 or B.

Step-by-step explanation: Hope this helps.

Answer:

its answer is 30.9[tex]\pi inch^{3}[/tex]

Step-by-step explanation:

given

radius (r) = 3 inch

height (h) =10.3 inch

Now

Volume of cone

= 1/3 * [tex]\pi[/tex]* [tex]r^{2} *h[/tex]

= 0.33 * 3 * 3 * 10.3 [tex]\pi[/tex]

= 30. 9[tex]\pi[/tex] inch ^3

FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

Step-by-step explanation:

28.75-20=8.75

8.75/7= 1.25

each cup costs $1.25

Answer:

The volume of the pyramid is 16 cm³.

Step-by-step explanation:

The volume of squared-base pyramid is given by the formula:

[tex]V=A\times \frac{h}{3}[/tex]

Here,

V = volume of the squared-base pyramid

A = area of the square base

h = height of the pyramid.

The information provided is:

a = side of square = 4 cm

h = 3 cm

Compute the area of the square base as follows:

[tex]A=a^{2}\\=4^{2}\\=16\ \text{cm}^{2}[/tex]

Compute the volume of squared-base pyramid as follows:

[tex]V=A\times \frac{h}{3}[/tex]

   [tex]=16\times \frac{3}{3}\\\\=16[/tex]

Thus, the volume of the pyramid is 16 cm³.

Answer:

d

Step-by-step explanation:

The two phrases that are equations are 'b = 9' and '7 + 19 = 26' because both have an equals sign, indicating that two expressions are set equal to each other.

An equation is a mathematical statement that asserts the equality of two expressions, and it is characterized by the presence of an equals sign '='. From the given options, the two phrases that qualify as equations are b = 9 and 7 + 19 = 26. These both show a relationship where two expressions are set equal to each other.

The phrase a +9 > 72 is not an equation, but an inequality because it uses a greater than symbol '>' instead of an equals sign. The last option provided seems to be typos or irrelevant content and does not constitute an equation.

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

When a function f(x) is transformed by ...

  g(x) = a·f(x -h) +k

it has been vertically scaled by a factor of "a" and translated to the right and up by amounts h and k, respectively.

Here, we have a=2, h=-3, and k=-7. The means ...

  The function has been vertically expanded by a factor of 2, translated left 3 units, and translated down 7 units.

Answer:

8

Step-by-step explanation:

We are required to evaluate:

0.1m+8-12n

When [tex]m=30, n=\frac{1}{4}[/tex]

Substituting these values into the expression, we have:

[tex]0.1m+8-12n=0.1(30)+8-12(\frac{1}{4})\\=3+8-\frac{12}{4}\\=3+8-3\\=8[/tex]

After evaluating the expression the value is 8.

Evaluating the Expression

To evaluate the expression 0.1m + 8 - 12n when m = 30 and n = \frac{1}{4}, we need to follow these steps:

Substitute m and n into the expression:

0.1(30) + 8 - 12 [tex]\left(\frac{1}{4}\right)[/tex]

Calculate 0.1(30):

0.1 [tex]\times[/tex] 30 = 3

Calculate 12[tex]\left(\frac{1}{4}\right):[/tex]

12 [tex]\times \frac{1}{4}[/tex] = 3

Substitute these values back into the expression:

3 + 8 - 3

Simplify the expression:

3 + 8 = 11

11 - 3 = 8

Thus, the value of the expression is 8.

The conditions for using a one proportion z-test are likely met as the sample of 2100 employees is assumed to be randomly selected, independent, and satisfies the success-failure condition, allowing for comparison of the company's age distribution with the surrounding population.

To check whether the conditions for using a one proportion z-test are met, we need to ensure that the following conditions are satisfied:

1. **Random Sample**: The sample of 2100 employees should be selected randomly from the population.

2. **Independence**: The selection of one employee should not influence the selection of another. This condition is typically assumed to be met if the sample size is less than 10% of the population size.

3. **Success-Failure Condition**: The number of successes (employees aged between 40 and 65) and failures (employees not aged between 40 and 65) in the sample should each be at least 10.

Let's check each condition:

1. **Random Sample**: If the company's hiring process is unbiased and follows fair employment practices, then this condition is likely met.

2. **Independence**: With 2100 employees selected, it's reasonable to assume that this condition is met, especially if the population of potential employees is large.

3. **Success-Failure Condition**: We have:

  - Number of successes: [tex]\(2100 \times 0.02 = 42\)[/tex]

  - Number of failures: [tex]\(2100 - 42 = 2058\)[/tex]

  Both 42 and 2058 are greater than 10, so the success-failure condition is met.

Since all three conditions are satisfied, the company's distribution of ages among its employees can be analyzed using a one proportion z-test to compare it with the population distribution.

Alright!

In order to properly compare these numbers, they need to look the same!

Lets change 2 8/24 into a decimal.

To do this, we need to convert it into an improper fraction

Follow these steps:

[tex]2 \frac{8}{24} \\[/tex]

We multiply the whole number (2) by the denominator (24) and then add the numerator (8). The improper fraction will keep the same denominator (24) at the end.

2 × 24 = 48

48 + 8 = 56

[tex]\frac{56}{24}[/tex]

Now, lets use a calculator to see what 56/24 is!

56 ÷ 24 = 2.33

237.5 is GREATER than [tex]2 \frac{8}{24} \\[/tex]

Hope I helped! Comment if you have questions :)

Answer:

yes

Step-by-step explanation:

you need to see the differences of the numbers