A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Adama rolls a die with faces labeled 1 through 10. If he rolls the die 40 times how many times would he expect it to land on a number less than 10?
Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is essentially what probability means.
The die has 10 faces, with numbers 1 through 10, but we are interested in the number of times it will land on a number less than 10. That means, there are 9 possible outcomes for each roll to be less than 10.
The expected number of times the die will land on a number less than 10 can be calculated by multiplying the probability of getting a number less than 10 on each roll by the total number of rolls.
The probability of getting a number less than 10 on each roll is 9/10, since there are 9 faces with numbers less than 10 out of the total of 10 faces.
Therefore, the expected number of times the die will land on a number less than 10 is:
E = (9/10) x 40 = 36
Therefore, Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.
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☆ 36 times.
— your in college ? im in seventh grade and got this question !
Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than
$42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequ
a) The inequality is 2x + 3.5y ≤ 42. b). The three different solutions to the inequality x = 7 and y = 8, x = 10 and y = 6, x = 14 and y = 4.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Let x be the number of bottles of paint that Carmen can buy
Let y be the number of boxes of colored pencils that Carmen can buy
A bottle of paint costs = $2
A box of colored pencils costs = $3.50
She can spend no more than $42 on art supplies.
This means that she can buy bottles of paint worth 2 × x = $2x
She can buy boxes of colored pencils worth 3.5 × y = $3.5y
Since the total amount, she can spend cannot exceed $42,
Then, the equation becomes
2x + 3.5y ≤ 42
b) The three different solutions to the inequality would be three different possible values of x and y can take.
x = 7 and y = 8
x = 10 and y = 6
x = 14 and y = 4
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4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions. Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.
Crafts-blank
Play-blank
Games-$0.15
Food-$0.32
If the total sales were $500, then:
How much was earned from the craft sales?
How much was earned from the play?
$225 was earned from the craft sales
and $40 was earned from the play.
Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.
Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.
Let the amount earned by play be x,
Now, Games earned = 0.15×500 = $75
Also, crafts earned 3×75 = $225
Now, as play earned x, then food earned 4x.
According to question,
x + 75 + 225 + 4x = 500
5x + 300 = 500
5x = 200
x = 40
So, the amount earned by Play be, $40
and the amount earned by Food be $160.
Hence, $225 was earned from the craft sales
and $40 was earned from the play.
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Determine the value of x in the equation.
(5)/(6)(x+2)-(3)/(6)x=(2)/(6)(x+5)
Infinite solutions
No solution
x = 1
x = 3
The value of x in the equation given as (5)/(6)(x+2)-(3)/(6)x=(2)/(6)(x+5) is (a) Infinite solutions
How to calculate the value of x in the equationFrom the question, the equation is given as
(5)/(6)(x+2)-(3)/(6)x=(2)/(6)(x+5)
Remove the excess bracket in the equation
So, we have
5/6(x+2) - 3/6x = 2/6(x+5)
Multiply through the above equation by 6
So, we have the following
5(x+2) - 3x = 2(x+5)
Open the brackets in the above equation
So, we have the following
5x +10 - 3x = 2x + 10
Evaluate the like terms
0 = 0
An equation that ends in 0 = 0 has infinite solutions
hence, the solution is (a) Infinite solutions
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Matching 'First Differences' indicate a quadratic relationship.
TRUE OR FALSSE
Answer:
By finding the differences between dependent values, you can determine the degree of the model for data given as ordered pairs. If the first difference is the same value, the model will be linear. If the second difference is the same value, the model will be quadratic.
let's see who can solve this. pleseeee
The correlation coefficient between X and Y is Corr(X, Y) = 0.
To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.
a. Marginal distribution of X:
To find the marginal distribution of X, we integrate the joint PDF over the range of Y:
∫[0, 1] J(x, y) dy
Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:
∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1
So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.
b. Expectation of X:
The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:
\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)
Therefore, the expectation of X is E(X) = 1/3.
c. Variance of X:
The variance of X can be calculated using the formula:
\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)
Therefore, the variance of X is Var(X) = 5/36.
d. Covariance of X and Y:
The covariance of X and Y can be calculated as:
Cov(X, Y) = E(XY) - E(X)E(Y)
Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:
\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)
\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)
Cov(X, Y) = 1/6 - (1/3)(1/6) = 0
Therefore, the covariance of X and Y is Cov(X, Y) = 0.
e. Correlation coefficient between X and Y:
The correlation coefficient can be calculated using the formula:
Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))
Since the covariance of X and Y is 0, the correlation coefficient will also be 0.
Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.
f. Conclusion based on the correlation coefficient:
The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the
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I need help with this
Answer:
Step-by-step explanation:
It was confusing
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Answer:
slope = 1
y-intercept - 1
slope intercept form: y = x - 1
Step-by-step explanation:
Muller Farms uses at least 800 lb of special feed daily. The special feed is a mixture of corn and soybean meal with the following compositions:
lb per lb of feedstuff
Feedstuff Protein Fiber Cost ($/lb)
Corn .09 .02 .30
Soybean meal .60 .06 .90
The dietary requirements of the special feed are at least 30% protein and at most 5% fiber. The goal is to determine the daily minimum-cost feed mix.
(a) Formulate a linear programming (LP) problem to model the situation (minimizing cost and satisfying constraints). (Hint: let x1 be the lb of corn in the daily mix, and x2 represent the lb of soybean meal in the daily mix. Formulate objective function and constraints (3 constraints and non-negativity) according to the information given above)
(b) Set up an Excel sheet with the information of this LP problem.
(c) Use Excel Solver to compute the solution to this diet problem.
(d) Include in your report a screenshot of the Excel sheet you used to and a solution.
Answer:
470.59x₁ + 329,41x₂ = $437.65
Step-by-step explanation:
minimize: 0.30x₁ + 0.90x₂
where:
x₁ = pounds of corn
x₂ = pounds of soybean
constraints:
x₁ + x₂ ≥ 800
0.09x₁ + 0.60x₂ ≥ 0.30(800) ⇒ 0.09x₁ + 0.60x₂ ≥ 240
0.02x₁ + 0.06x₂ ≤ 0.05(800) ⇒ 0.02x₁ + 0.06x₂ ≤ 40
x₁ ≥ 0
x₂ ≥ 0
the optimal solution is: 470.59x₁ + 329,41x₂ = $437.65
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
For each value of u determine whether it is a solution to -2u-6<-20
Answer:
u > 7
Step-by-step explanation:
-2u -6 < -20 Add 6 to both sides
-2u - 6 + 6 < -20 + 6
-2u < -14 Divide both sides by -2. When you multiply or divide both sides by a negative number, you must flig the sign.
\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)
u > 7
Helping in the name of Jesus.
The answer is:
u > 7
In-depth explanation:
You haven't told me what the values of u are, but I'll solve the equation for u.
Add 6 on each side:
\(\bf{-2u-6 < -20}\)
\(\bf{-2u < -14}\)
Divide each side by -1 and reverse the sign:
\(\bf{2u > 14}\)
Now divide each side by 2
\(\bf{u > 7}\)
which parent functions have a y-intercept at (0,0)? select all that apply
Answer: A,E or F.
Step-by-step explanation: That's the only ones that have X's and then x is 0
how many rectangles from 18 square boxes
Answer:
9 rectangles
Step-by-step explanation:
two squares form a rectangle.
18 ÷ 2 = 9
WHAT IS THE VOLUME OF WAX IN THE CANDLE SHAPED LIKE A CYLINDER
A.50.24 cubic inches B,28.3 cubic inches C.25.1 cubic inches
What is the volume of wax in the candle shaped like a cone?
A. 50.24 CUBIC FEET b.28.3 cubic feet C.25.1
Problem 8
Answer: 28.3 cubic inches------------------------
Work Shown:
V = pi*r^2*h
V = 3.14*(1.5)^2*4
V = 28.26
V = 28.3
Note how the radius r = 1.5 is half of the diameter 3 inches.
=========================================
Problem 9
Answer: 25.1 cubic inches------------------------
Work Shown:
V = (1/3)*pi*r^2*h
V = (1/3)*3.14*2^2*6
V = 25.12
V = 25.1
Answer:
for problem 8 it would be 28.3
Slopes of Parallel/Perpendicular Lines (5x - 4y = -24) Show steps please
The slope of the perpendicular line to the equation 5x - 4y = -24, is: 4/5.
How to Find the Slope of Perpendicular Lines?The slope values of two lines which lie perpendicular to each other on a coordinate plane are always negative reciprocals to each other.
Rewrite the equation, 5x - 4y = -24 in slope-intercept form:
5x - 4y = -24
-4y = 5x - 24
Divide both sides by -4
-4y/-4 = 5x/-4 - 24/-4
y = -5/4x + 6
The slope of y = -5/4x + 6 is -5/4. The negative reciprocal of -5/4 is 4/5. Thus, the slope of the line that is perpendicular to the equation of the given line is: 4/5.
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3.3.4 Practice: Angle Relationships in Triangles
Practice
Math 8 Sem 2
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.
1. What is the measure of ∠4? Explain how you know.
Write your answer in the space below.
2. What is the sum of the measures of the angles in a triangle?
Write your answer in the space below.
3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?
Write your answer in the space below.
4. What is the measure of ∠1? Explain.
Write your answer in the space below.
5. Find the measure of ∠2. Explain how you found its measure.
Write your answer in the space below.
6. What is the measure of ∠3? Explain.
Write your answer in the space below.
For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because
180 - 90 = 90
The sum of the three angles of any triangle is equal to 180 degrees.
Angle 2=127 because 180-53=127.
Angle 3=23 because 180-30-127=53
Angle 1=37 because 90-53=37
Angle 4=90
Angle 1+4=127
The measure of ∠1 is 125° .
Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46
Answer:
Good luck!
Step-by-step explanation:
Help it’s past due, sorry for the bad quality
Answer: The answer is B.
Step-by-step explanation:
PLSSSS HELP ME ALOT OF CREDITS AND BRAINLIST IF YOU HELP ME!!!!!
G. A. B. O
By probability in the chart, it goes from most to least that is grapes, apples, bananas and oranges
look at the picture
The interval where the function is increasing is (3, ∞)
Interval of a functionGiven the rational function shown below
g(x) = ∛x-3
For the function to be a positive function, the value in the square root must be positive such that;
x - 3 = 0
Add 3 to both sides
x = 0 + 3
x = 3
Hence the interval where the function is increasing is (3, ∞)
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The graph below shows the total amount, y, that an electrician charges for a service call that lasts x hours.
Which of the following is the rate of change in the total amount charged with respect to the time spent on the service call?
Question 5 options:
$25 per hour
$0.04 per hour
$65 per hour
$40 per hour
The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.
What is the rate of change?The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).
The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.
Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.
The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).
Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:
370 - 130 = 240
And the change in x is:
8 - 2 = 6
Therefore, the slope (rate of change) of the graph is:
240/6 = 40
So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.
Therefore, the correct option is $40 per hour.
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Compute the required rate of return on two stocks with beta values of 0.5 and 2 respectively assuming the risk-
free rate of 5% and the market return of 10% using the capital asset pricing model. Please show work. Thank you.
The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.
What is Rate of return?Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.
What is stock?A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.
According to the given information:
The Capital Asset Pricing Model (CAPM) is expressed as:
R = Rf + beta*(Rm - Rf)
Where:
R = Required rate of return
Rf = Risk-free rate of return
beta = Beta coefficient (systematic risk)
Rm = Expected market return
Using the given values, we can compute the required rate of return for each stock:
Stock with beta of 0.5:
R = 5% + 0.5*(10% - 5%)
R = 7.5%
Stock with beta of 2:
R = 5% + 2*(10% - 5%)
R = 15%
Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.
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The perimeter of the rectangle below is 132 units. Find the length of side RS.
Write your answer without variables.
S
P
5x
R
4x + 3
Q
Check the picture below.
\((5x)+(5x)+(4x+3)(4x+3)=132\implies 18x+6=132\implies 18x=126 \\\\\\ x=\cfrac{126}{18}\implies x=7\hspace{9em}\underset{RS }{\stackrel{ 5(7) }{\text{\LARGE 35}}}\)
The ratio of the interior angles of a triangle is 2 : 3 : 4. What are the angle measures? Write the angle measures from least to greatest.
9514 1404 393
Answer:
40°, 60°, 80°
Step-by-step explanation:
The total of ratio units is 2+3+4 = 9.
The total of angles in a triangle is 180°, so each ratio unit stands for 180°/9 = 20°.
The angle measures are ...
20° × 2 = 40°
20° × 3 = 60°
20° × 4 = 80°
Which rigid transformation can map triangle ABC onto triangle Fed?
Reflection then translation are rigid transformation can map triangle ABC onto triangle Fed.
What is congruent?
Congruence of triangles: 2 triangles square {measure} aforesaid to be congruent if all 3 corresponding sides square measure equal and every one the 3 corresponding angles square measure equal in measure. These triangles may be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with one another. The image of congruity is’ ≅’.
Main body:
It has been given in the question that Δ ABC and ΔFED are congruent by SSS congruence theorem.
ΔFED is the picture image of ΔABC and slightly shifted towards left.
Therefore, we can tell about the transformations that if ΔABC is reflected on x-axis and translated towards left, it can map ΔFED.
Hence ,Option B is the answer.
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I need help with this question
Answer:
A = (15 + 2x)(20 + 2x)
Step-by-step explanation:
2) The midpoint of the line segment between: (10,- 11) and (-8, -5) is:
Answer: (1, -8)
M = x1 + ×2 / 2 & y1 + y2 / 2
x1 = 10, y1 = -11 x2 = -8 y2 = -5
M = 10 + (-8) / 2 & -11 + (-5) / 2
Answer = 1, -8
3. The customs duty on an imported vehide is 45% of imported price. (a) Calculate the customs duty опа car for which the imported price. is $3000 000. of a mini (6) Calculate the imported price bus if the amount paid induding customs duty TS $1560 000. ES
a) The customs duty on the car would be $1,350,000.
b) The imported price of the bus would be $858,000.
(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:
Customs duty = $3,000,000 * 0.45 = $1,350,000.
(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:
Customs duty = $1,560,000 * 0.45.
Solving for the customs duty:
Customs duty = $702,000.
Now, we can subtract the customs duty from the total amount to find the imported price:
Imported price = $1,560,000 - $702,000 = $858,000.
In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.
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Help me please! I need an answer!
Answer: \(\bold{\dfrac{b_1}{b_2}=\dfrac{3}{2}}\)
Step-by-step explanation:
Inversely proportional means a x b = k --> b = k/a
Given that a₁ = 2 --> b₁ = k/2
Given that a₂ = 3 --> b₂ = k/3
\(\dfrac{b_1}{b_2}=\dfrac{\frac{k}{2}}{\frac{k}{3}}=\large\boxed{\dfrac{3}{2}}\)