Answer:
1421/576
Step-by-step explanation:
Sum = - 13/8 + 5/12 = - 39/24 + 10/24 = - 29/24
Difference = - 13/8 - 5/12 = - 39/24 - 10/24 = - 49/24
Sum * Difference = (-29/24)*(-49/24) = 1421/576
Calculating the relative frequencies from the data given in the table. Choose all that correctly describe an association between favorite subject and grade.
A higher percentage of 8th graders than 7th graders prefer History.
A higher percentage of 7th graders than 8th graders prefer English.
A higher percentage of 8th graders than 7th graders prefer Math/Science.
The statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
We can find conditional relative frequency as:
For first cell:
= 38/116
= 0.327
= 32.75% (refer attached picture)
Similarly, we can find for other cells.
A higher percentage of 7th graders than 8th graders prefer English and History, while a higher percentage of 8th graders than 7th graders prefer Math/Science.
Thus, the statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.
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HELP
1. (08.01) Two lines, A and B, are represented by the following equations:
Line A: y = -x + 4
Line B: y = -x + 4
Which statement is true about the solution to the set of equations? (4 points)
It is (1, 2).
There are infinitely many solutions.
It is (1, 5).
There is no solution.
Answer:
there is no solution since the equations are the same hence on trying to solve all variables will cancel out
Find the mean of the data set: 5, 19, 11, 3, 21, 9. (Round your answers to one decimal place, if necessary.)
Answer:
11.33
Step-by-step explanation:
Add all of the numbers together, then divide them by the number of numbers (6)
Can you guys help me please :(
Answer:
Step-by-step explanation:
18:44yd x 27 yd = 1188 yd,
then subtract the two unshaded squares, 2 x (22 x 6) = 264
1188 - 264 = 924[tex]yd^{2}[/tex]
A living room set is discounted 1/3 of the price what percentage is the discount?
the answer will be 33.33% percent
Of the 528 clients at Bernie's salon, 122 of them have black hair. What is the probability that a randomly selected client at Bernie's salon has black hair? Write your answer as a fraction or whole number.
The probability that a randomly selected client at Bernie's salon has black hair is 61 / 264.
What is the probability?Probability measures the odds that a stated event would occur. The odds the event happens lies between 0 and 1.
The probability that a client at Bernie's salon has black hair = number of clients with black hair / total number of clients
122 / 528 = 61 / 264
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The area of a circle is 9π in². What is the circumference, in inches? Express your answer in terms of \piπ.
Answer:
C = 6π in
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
the area (A) of a circle is calculated as
A = πr²
given A = 9π , then
πr² = 9π ( divide both sides by π )
r² = 9 ( take square root of both sides )
r = [tex]\sqrt{9}[/tex] = 3
then
C = 2π × 3 = 6π in
The circumference of the circle is C = 6π inches
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circumference of the circle be C
Now , the area of the circle be A = 9π inches²
where area of the circle = πr²
So , r² = 9
Taking square roots , we get
r = 3 inches
Now , the circumference C = 2πr
C = 6π inches
Hence , the circumference is 6π inches
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The following table gives data relating the intensity of exercise on a scale of 0-1 and the pulse rate of the person. If the intensity were to increase to 0.90(assuming. the rate stays the same), approximately what would be the associated pulse rate?
SHOW STEPS
Answer: [tex]The[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]C.[/tex] [tex]200[/tex]
Step-by-step explanation:
[tex]I ~can ~see ~that ~it ~does~ not ~appear ~to ~be[/tex] [tex]LINEAR[/tex]
[tex]y = 73e^kx[/tex] [tex]< ---~pulse~rate[/tex]
[tex].7[/tex] [tex]when[/tex] [tex]y = 155[/tex] [tex]< ---~sub ~in ~x[/tex]
[tex]155 = 73 e^(.7 * k)[/tex]
[tex]ln ( 155/73) = .7k[/tex]
[tex].75296567 = .7k[/tex]
[tex]k = 1.07567[/tex]
[tex]for[/tex] [tex]x = 0.9 :[/tex] [tex]pulse rate = y = 73 e^(1.07567[/tex] [tex]^. .9) = ~ 192[/tex]
[tex]Therefore~your~answer~is:~C.~200[/tex]
Spencer bought 8 souvenirs during 2 days of vacation. How many days will Spencer have to spend on vacation before he will have bought a total of 12 souvenirs? Assume the relationship is directly proportional
Answer:
3 days
Step-by-step explanation:
hope u understand
CORRECT ANSWER ONLY! I'LL GIVE BRAINLIEST!
Which graph represents the function f(x)= sqrt x − 2 - 2?
Answer:
the third fuction is the represents po
Step-by-step explanation:
and the next slide is the other one
20 points. brianliest if you get it right, and my appreciation
Answer:
x = 17
Step-by-step explanation:
75° and (4x + 7)° are alternate angles.
75 = 4x + 74x = 68x = 17A board is 86 inches long. How long is it in feet and inches?
Answer:
7 feet and 2 inches
Step-by-step explanation:
12 inches in a foot, which in the case of 86 we would have 7 feet 84 inches which leaves us with 2 extra inches hence 7'2"
The radius of a circle is 19 meters. What is the circle's circumference?
r=19 m
Use 3.14 for .
Answer:
59.66
Step-by-step explanation:
What is the value of x 2/3x+2=4
To solve for x, we can perform inverse operations to cancel values out.
For addition, we can do subtraction.For multiplication, we can do division.And vise versa.Eventually, we must isolate x to one side of the equal sign, or equation. That will give us its value.
Solving the Question[tex]\dfrac{2}{3}x+2=4[/tex]
⇒ First, isolate the x term by subtracting 2 from both sides:
[tex]\dfrac{2}{3}x=2[/tex]
⇒ Now, multiply both sides by 3 to get rid of the fraction:
[tex]2x=6[/tex]
⇒ Finally, divide both sides by 2 to isolate x:
[tex]x=3[/tex]
Answer[tex]x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
[tex]\sf \dfrac{2}{3}x+2=4[/tex]
Subtract 2 from both sides.
[tex]\sf \dfrac{2}{3}x=4-2\\\\\sf \dfrac{2}{3}x=2[/tex]
Multiply both sides by 3.
[tex]\sf2x=2*3\\2x=6[/tex]
Divide both sides by 2.
[tex]\sf x=\dfrac{6}{2} \\\\\sf x=3[/tex]
240inches equals how many feet
log64n=−31
step bye step on how to solve this
Pls help me with this i am giving 50pts out
A sail shaped like a right triangle is shown. : Find the unknown side length. Enter the correct answer in the box. : Do these lengths form a Pythagorean triple? PLEASE HELP ME ASAP!!
Answer:
5 feet
Step-by-step explanation:
AB^2=AC^2+BC^2
13^2=AC^2+12^2
AC^2=25
AC=5
Find the distance between the two given points:
(-5,-2);(-6, -6)
Which of these is a dependent variable and which of these is an independent variable.
I did Jumping Jacks
I spent 1 minute on the jumping jacks
I did 68 Jumping jacks in 1 minute.
BRAINLIEST, A LIKE, 5 STARS, 100 POINTS
Answer:
I did jumping jacks
Step-by-step explanation:
conditioning exercise performed from a standing position by jumping to a position with our legs spread and arms raised and then to the normal position.
Answer:
I hope nothing
hope. it helps
19. If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?
O 16, -16
O 16, 1/16
O 8,-8
O 8,1/8
Answer:
16, 1/16
Step-by-step explanation:
[tex](4)^2 =16[/tex]
[tex](4)^{-2} =\frac{1}{16}[/tex]
Hope it helps you in your learning process.
[tex]\large{\textsf{\textbf{Answer\::}}[/tex]
Option B
[tex]\large{\textsf{\textbf{Calculations\::}}[/tex]
If the base is 4 , and the exponent is 2 , then the expression looks as follows :
[tex]\textbf{\textsf{$4^2$}}[/tex]
So we multiply 4 times itself .
The answer is :
[tex]\textsf{\textbf{16}}[/tex]
Detail : 4² is not equal to 4×2 , and here's why .
4² = 4 × 4 = 16
4 × 2 = 8
Now , if the exponent is negative , then we turn the number over as follows :
4⁻² = [tex]\mathsf{\dfrac{1}{16} }[/tex]
So the right option is :
[tex]\bigcirc[/tex] 16 , -16
[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] 16 , 1/16
[tex]\bigcirc[/tex] 8 , -8
[tex]\bigcirc[/tex] 8 , 1/8
(Option B is right)
[tex]\footnotesize\text{hope\:helpful~}[/tex]
2. Answer each of the following based on the scenario below.
Scenario: You bought a car this year for $13,000. Unfortunately your car loses 25% of
-
its value every year.
a.
Does this scenario represent exponential growth or decay? Decay
b. What is the initial value of your savings account?$13,000
aishof wolse Hadapterit
c. What is the growth/decay factor? 25
d. Create a function in exponential form that models how much your car will be worth after x
year.
f(x) =
e. After 3 years how much will your car be worth?
f. After 8 years how much will your car be worth?
correct, is Decay and the initial amount is 13000, rate is 25%
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^x\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &13000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ x=years \end{cases} \\\\\\ A=13000(1 - 0.25)^{x}\implies \boxed{A=13000(0.75)^x} \\\\\\ \stackrel{\textit{after 3 years}}{A=13000(0.75)^3}\implies A\approx 5484.38~\hfill \stackrel{\textit{after 8 years}}{A=13000(0.75)^8}\implies A\approx 1301.47[/tex]
Find the area of the regular polygon 10, 4
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 154,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 5% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?
Answer:
77,000 fish in 10 years
Step-by-step explanation:
calculator
Question 20
Mr. Stakur rolls a 20-sided die ten times. He rolls were 1,2,3,3,4,6,7,7,8, and 11,
Find the experimental probability Find the experimental probability of Norris rolling at least 10,
Was this higher or lower than what should have theoretically happened?
А
10 percent, Lower
B
20 percent, Higher
С
20 percent, Lower
D
10 percent, Higher
The correct option regarding the probability of rolling a number that is at least 10 is given by:
А 10 percent, Lower
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For the theoretical probability, it is calculated before any experiment. 11 out of 20 numbers are at least 10, hence it is given by:
pT = 11/20 = 0.55 = 55%.
For the experimental probability, we consider previous trials, in which one out of 10 resulted in a number that is at least 10, hence:
pE = 1/10 = 0.1 = 10%.
Which is lower than the theoretical probability, hence option A is correct.
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hat is the area of one base of the triangular prism? 24 square units 48 square units 160 square units 200 square units
Answer:
24 a.)
Step-by-step explanation:
the base is a triangle
What is the probability of a red on this spinner?
Be sure to reduce.
? 1
Answer:
1/4 is the correct answer
Write each expression with a single rational exponent. 1/x^-1
[tex]~\dfrac 1{x^{-1}}\\\\=\dfrac{x^0}{x^{-1}}\\\\=x^{0-(-1)}\\\\=x^{0+1}\\\\=x^1\\\\=x[/tex]
which shows equation?
Find the horizontal and vertical shift of y=Sqrt x+2-3
Answer: Left 2, Down 3
Step-by-step explanation:
[tex]y=\sqrt{x+2}-3[/tex]
To find the horizontal shift, set the values under the root equal to 0
x + 2 = 0
x = -2
This means the functions is shifted left 2 units
To find the vertical shift, look at the -3
This means the graph is shifted down 3 units.
