(a) 12 boys play basketball
(b) See figure 2 below
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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.
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
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)
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
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?
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.
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.
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!
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
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
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
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 1.5Answer:
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
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.
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
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
Answer:
zero called 1 in this situation
Step-by-step explanation:
its your ans
what is the volume of 480in
Answer:
please check the question, it is not straight forward
PLEASE HELP ASAP!! DUE BY THE END OF THE NIGHT (LOOK AT PICTURE)
Identify the center and the radius of each circle.
C. X^2+2x+1+y^2+4y+4=9
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)
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
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
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)
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)?
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Hello! In this question, we are trying to solve the expression with a given value.
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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
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To solve this problem, you will substitute an existing value into a function in order to find the y-coordinate at that x-coordinate.
SubstituteGiven 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 OperationsUse 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?
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.
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
(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 - 14Part 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
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
Answer:
113
Step-by-step explanation:
26x4=104
1x9=9
104+9=113
what is 1x3 and 1x8 help please jucie
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?
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 ?
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 years400 x (1.1)^5 = 644
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