in a class of 32 students there are 8 girls who played basket ball and 5 boys who did not​

In A Class Of 32 Students There Are 8 Girls Who Played Basket Ball And 5 Boys Who Did Not

Answers

Answer 1
Answers:

(a) 12 boys play basketball

(b) See figure 2 below

==========================================================

Explanation:

Part (a)

You are on the right track so far when you wrote the partial table.

There are 15 girls in the class, and 8 girls that play basketball. That must mean 15-8 = 7 girls do not play basketball.

Focusing on the first row only, we'll have 7 go in the second column and 15 go in the third column. The first row is filled out entirely.

There are 32 students and 15 girls. This means there are 32-15 = 17 boys. We'll write 17 at the end of the second row.

The other missing value of this row is 17-5 = 12 to represent the number of boys who play basketball. This is because of the 5 boys that don't play basketball.

To fill out the missing items in the third row, add the columns straight down.

We have 8+12 = 20 basketball players and 7+5 = 12 people who do not play basketball. Notice how 20+12 = 32 along the bottom row to help confirm the correct values.

Check out figure 1 to see the entire two-way frequency table.

We see that there are 12 boys that play basketball.

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

Part (b)

The previous part detailed how to set up the two-way frequency table.

For this part, we'll be creating the two-way relative frequency table. The keyword "relative" means that we'll divide each item by the grand total 32.

For instance, in the first row & first column we have 8/32 = 0.25; do the same with the other values. Do not round. The reason for this is because each decimal item is a terminal decimal, meaning the digits stop at some point. If your teacher instructs you to round, then be sure to follow those instructions of course.

Check out figure 2 so you can see the two-way relative frequency table.

A result like 0.25 in the first row & first column tells us that 25% of the class is a girl and plays basketball.

In A Class Of 32 Students There Are 8 Girls Who Played Basket Ball And 5 Boys Who Did Not

Related Questions

Mateo is baking a ham. He must make sure the ham has a minimum internal temperature of 145 degrees so that it is safe to eat. Using a thermometer, he takes the temperature of the ham in four random places. The minimum temperature in the sample is 150 degrees.

Identify the population and the sample. (4 points)
Population: four random places in the ham; Sample: all the ham meat
Population: all the ham meat; Sample: four random places in the ham
Population: all the ham meat; Sample: 150 degrees
Population: 150 degrees; Sample: 145 degrees
Population: 145 degrees; Sample: 150 degrees

Answers

Answer: Population: all the ham meat; Sample: four random places in the ham

Step-by-step explanation: I just took the test and got it right

6x2 - 5x - 4 is equivalent to:
-
1. (6x - 1)(x + 4)
3. (x - 1)(6x - 4)
-
2. (3x - 1)(2x - 4)
4. (2x + 1)(3x - 4)

Answers

Answer:

(2x + 1) (3x - 4)

Step-by-step explanation:

Solution:

6x² - 5x - 46x²- (8 - 3)x - 46x²- 8x + 3x - 42x (3x - 4) +1 (3x - 4)(2x + 1) (3x - 4)

Compute a value for x that satisfies the equation below.

-x + 5 = 1
A. x=4
B. x=-1
C. x = 0
D. X= 4

Answers

Step-by-step explanation:

-4+5

=1

therefore the answer is A.

Answer:

D) x=4

Step-by-step explanation:

-x+5=1

-x=1-5

-x=-4

x=4

how to convince your parents to go shopping for clothes?​

Answers

Answer:

Be Nice & Have Manners.

Step-by-step explanation:

Try to be nice and have manners. Being thankful for the clothes you have is always the top priority. Let them browse different kinds of clothes online or in person, and see if there are clothes that you and your parents agree on that you can wear.

I need help! Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

hope this will help you (•‿•)

Step-by-step explanation:

[tex]for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061[/tex]

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 10. using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.

Answers

The interval of systolic blood pressure will be between 155 to 95

What is the standard deviation?

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

From the question, we are told that

Mean  x=125

Standard deviation = 10

The Percentage for men =99.75%

Generally, the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 10

Mean x= 125

Generally, the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

G = Mean ± (3x [tex]\sigma[/tex])

G= 125 ±  (3 x 10)

G= 125 ±  (30)

G = 155 and 95

Hence the interval of systolic blood pressure will be between 155 to 95

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Answer:

Step-by-step explanation:

#94 will give brainliest to best answer!​

Answers

Answer:

5/8

Step-by-step explanation:

There are 8 sections, and 4 sections that are 1, and 1 pink section. So adding these up, we get 5/8.

Hope this helped! :)

What is the quotient of (x3 6x2 11x 6) ÷ (x2 4x 3)? x 2 x – 2 x 10 x 6

Answers

The quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2

How to determine the quotient?

The quotient expression is given as:

[tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex]

Expand both expressions

[tex](x + 3)(x + 2)(x +1) \div (x + 3)(x +1)[/tex]

Cancel out the common factors

x + 2

Hence, the quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2

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HELPPPP WITH MATH HOMEWORK PLS

Answers

Answer:

The length of the wing is 480 centimeters

Step-by-step explanation:

2 cm on the drawing is 192 cm on the acutal wing

2 = 192

divide both sides by 2

1 = 96

since the drawing has a length of five cm, multiply both sides by 5

5 = 480

therefore, 5 cm on the drawing is equal to 480 cm on the actual wing

help asap please!! <3

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Finding the gradient

gradient (m) = y₂ - y₁ / x₂ - x₁m = 5 + 1 / 4 - 0m = 6/4m = 3/2 or 1.5

Answer:

gradient = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 1 ) and (x₂, y₂ ) = (4, 5 )

m = [tex]\frac{5-(-1)}{4-0}[/tex] = [tex]\frac{5+1}{4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

HELPPPP WITH MATHH HOMEWORKK PLSSS

Answers

Answer:

well I think it is so because it has to do with affecting the positive sign just think of it using normal circumstances

Step-by-step explanation:

formally, there is only one alternative : if not negative, it would be a positive number.

and that would mean

2× -4/5 = x (= a positive number)

2× -4 = 5x (= still a positive number)

-4 = 5x/2 (= still a positive number)

and -4 is definitely not a positive number.

so, it is proven, 2× -4/5 cannot be a positive number, and therefore has to be a negative number.

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Car 1 (value in dollars)
Year 1: 18,500
Year 2: 17,390
Year 3: 16,346.60

Car 2 (value in dollars)
Year 1: 18,500
Year 2: 17,500
Year 3: 16,500

Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer.

Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years.

Part C: Baxter wants to purchase a car that would have the greatest value in 10 years. Will there be any significant difference in the value of either car after 10 years? Explain your answer, and show the value of each car after 10 years.

Answers

Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.

Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.

And Yes, there is a significant difference.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Car 1 (value in dollars)

Year 1: 18,500

Year 2: 17,390

Year 3: 16,346.60

Car 2 (value in dollars)

Year 1: 18,500

Year 2: 17,500

Year 3: 16,500

The exponential function describes car 1.

Then the function will be

[tex]\rm P = 18500\times (0.95995)^n[/tex]

The linear function describes car 2.

[tex]\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500[/tex]

Then the value of the car 1 after 10 years will be

[tex]\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5[/tex]

Then the value of the car 2 after 10 years will be

[tex]\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33[/tex]

Yes, there is a significant difference.

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Which graph shows the function W, X, Y, Z

Answers

Answer:

the correct graph is attached

Step-by-step explanation:

x ≥ 1 means there is a closed dot at 1

and -x + 8 means there should be an y intercept at 8 with negative slope

so it could've only been the right side graphs than the first function is positive so the top right cant be right meaning the bottom right is the correct graph

What do zeros tell us in this situation

Answers

Answer:

zero called 1 in this situation

Step-by-step explanation:

its your ans

what is the volume of 480in

Answers

Answer:

please check the question, it is not straight forward


PLEASE HELP ASAP!! DUE BY THE END OF THE NIGHT (LOOK AT PICTURE)

Answers

Its C I already did it in my math class
Definitely C happy you got it done

Identify the center and the radius of each circle.

C. X^2+2x+1+y^2+4y+4=9

Answers

Answer:

[tex]Center =(-1,\: -2),\: radius = 3\: units[/tex]

Step-by-step explanation:

[tex] x^2 +2x + +1 + y^2++4y+4=9[/tex] (Given equation of circle)

[tex]\implies (x^2 +2x + +1) + (y^2++4y+4)=(3)^2[/tex]

[tex]\implies (x+1)^2 + (y+2)^2=(3)^2[/tex]

Comparing the above equation with standard form of circle i.e. [tex](x-h)^2+(y-k)^2=r^2[/tex], we find:

[tex]h=-1, \: k = -2,\: r = 3[/tex]

[tex]Center =(h, \: k )=(-1,\: -2),\: radius = 3[/tex]

Directions: Find the slo
(-13, 8) and (3, 12)

Answers

Answer:

slope =.25

Step-by-step explanation:

I assume this is asking to find the slope?

graph this equation and you'll see that the run is 16 and the rise is 4.

rise/run

4/16 = .25

The values in the table represent a linear function what is the common difference of the associated arithmetic sequence x 1 2 3 4 5. y 8 23 38 53 68

a. 15
b. 7
c. 1
d. 21

Answers

The common difference of the arithmetic sequence is 15.

The correct option is (a)

what is Arithmetic Sequence?

An arithmetic sequence (also known as an arithmetic progression) is a sequence of numbers in which the difference between consecutive terms is always the same.

The arithmetic sequence is defined as

x:   1     2    3    4    5

y: 8   23   38  53  68

The common difference of the arithmetic sequence is

[tex]d=\frac{y_2-y_2}{x_2-x_1}[/tex]

Let us take any two points: (1,8) and (2,23)

Then, d = [tex]\frac{23-8}{2-1}[/tex]

          d= 15

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How do exponents fit into the order of operations

Answers

Answer:

Exponents are done before addition, subtraction, multiplicaton, and division

Step-by-step explanation:

PEMDAS=

Parenthases

Exponents

Multiply

Divide

Add

Subtract

Given the following absolute value equation, what would the coordinates of the vertex be?
​ y= -3 |x-5| +2
A (−5,2)(-5,2)(−5,2)
B (−3,−5)(-3,-5)(−3,−5)
C 5,2)(5,2)(5,2)
D (2,−5)(2,-5)(2,−5)

Answers

Answer:

  C.  (5,2)

Step-by-step explanation:

For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like

  f(x -h) +k

and the vertex moves to (h, k).

__

Here, the parent function |x| has its vertex at (0, 0). Writing it as ...

  -3|x -5| +2

moves its vertex to (h, k) = (5, 2).

_____

Additional comment

The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.

If f(x)=X²-3, what is the value of f(-3)?

Answers

__________________________________________________________

Hello! In this question, we are trying to solve the expression with a given value.

__________________________________________________________

Explanation:

In this question, we were given our f(x) equation: f(x) = x² - 3

We were also given the value of our variable "x": -3

To solve the expression, we would plug in our "x" value, -3, into the "x" variables in our expression and solve.

Solve:

f(x) = x² - 3

f(-3) = (-3)² - 3

= 9 - 3

= 6

Therefore, the value of f(-3) is 6.

__________________________________________________________

Answer:

f(-3) = 6

__________________________________________________________

To solve this problem, you will substitute an existing value into a function in order to find the y-coordinate at that x-coordinate.

Substitute

Given the function f(x) = x² - 3, evaluate the function at f(-3) by substituting in x = -3:

[tex]f(-3) = -3^2-3[/tex]

Use Order of Operations

Use BPEMDAS, which stands for:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First, evaluate -3².

[tex]-3\times-3=9[/tex]

Then, evaluate the rest of the expression by subtracting 3 from 9:

[tex]9 - 3 = \boxed{6}[/tex]

The final answer is f(-3) = 6.

A 4-cup bottle of water costs $3.28. What is the price per pint?

Answers

hey!

Given ,

Price of 4 cups = $3.28

Price of 1 cup = $3.28/4 = $0.82

Answer:

Step-by-step explanation:

4 cups = 1 pint

$3.28/4 = .82 per pint

Find the volume of cone pictured below. Use 3.14 for π. Round your answer to the nearest hundredth.



The volume of the cone is
cubic yards.

Answers

Answer:

133.97 cu yds

Step-by-step explanation:

volume is 1/3 x pi x r^2 x h

I need help pls I need it under 25min pls​

Answers

Answer:

(a)  P(3, -8), Q(1, -12)

(b)

(i)  x = -1, 4

(ii)  x = 1, 2

(c) Drawn Below, refer to the red line. Equation: x = 1.5

Explanation:

Given Equation's:

y = 2x² -6x - 8y = 2x - 14

Part A

Coordinates of points: P(3, -8), Q(1, -12)

Part B

From the graph identify:

(i) 2x² - 6x - 8 = 0       || Solution: x = -1, 4

(ii) 2x² - 6x = -4          || Solution: x = 1, 2

Part C

Symmetry of a parabola is at the middle, dividing the curve in equal parts.

Equation: x = 1.5

two less than 8 times a number is the same as the number plus 12

Answers

Answer:

The number is 2.

Step-by-step explanation:

You can write this as an algebriac equation, where the "number" is x:

8x - 2 = x + 12

Then, solve for x:

8x = x + 14
7x = 14

x = 2

you sign up for a new email account. You must choose a secure password that contains 4 letters followed by one digit. How many combinations are there

Answers

Answer:

113

Step-by-step explanation:

26x4=104

1x9=9

104+9=113

what is 1x3 and 1x8 help please jucie ​

Answers

Answer:

1×3=3 and 1×8=8 this is the answe right? and if you add these it will come 11

Answer:

3 and 8

Step-by-step explanation:

The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?

Answers

Another way of expressing the radius is to express it as a decimal given as r  = 19.108 cm

What is a circle?

The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.

Given the expression for the radius of the circle given as

[tex]r=\dfrac{60}{\pi}[/tex]

We can also express the radius as a decimal instead of a fraction.

Given that π = 3.14, Substitute into the expression of the radius to have:

[tex]r=\dfrac{60}{3.14}=1.9.108\ cm[/tex]

Hence another way of expressing the radius is to express it as a decimal given as r  = 19.108 cm

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City university projects that planned expansion will increase the number of enrolled students every year for the next five years by 10%. If 400 students enroll in the first year of the plan how many students are expected to enroll in the fifth year of the plan ?

Answers

The number of students that are expected to enroll in the fifth year of the plan is 644.

How many students are expected to enroll in the fifth year?

The formula that can be used to determine the future value of the population is:

FV = P (1 + r)^n

FV = Future value P = Present value R = rate of increaseN = number of years

400 x (1.1)^5 = 644

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