please help i will give brainliest :) question is in picture
Answer:
C. 43.96
Step-by-step explanation:
2 × 3.14 × 7
Equation is 2×pi×radius
Answer: The answer is B
Step-by-step explanation:
The formula is 2πr. 2 * 3.14 * 7 6.28 *7 = 43.96The back to back stem plot shows the number of books read in a year by a group of high school and college students which statements are correct?
The correct statement are:
The range for high school students is larger than college students.The college median is equal to the high school median.Based on the given information, we can make the following conclusions:
A. The interquartile range for high school students is smaller than college students.
The statement is False
B. The mean for high school students is smaller than college students.
The statement is False because the mean of College is 25.28 and mean for High school is 30.4.
C. The range for high school students is larger than college students.
The statement is True .
D. The college median is equal to the high school median.
The statement is True because the median for both is 24..
E. The mean absolute deviation is larger for college students than high school students.
The statement is False.
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Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error?
Complete Question
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error? a) Negative 42 divided by negative 7 = 6
b) Jo should have rounded the dividend to –40
c) Jo should have rounded the divisor to –6.
d) Jo should have divided –7 by –42. e) Jo should have divided –7 by –7
Answer:
c) Jo should have rounded the divisor to –6.
Step-by-step explanation:
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer.
Nearest integer
Dividend = -41.71 = -42
Divisor = -6.03 = -6
Jo's error was that she should have rounded the divisor to -6
Hence: -42 ÷ -6 = 7
Quotient = 7
B :)
the other guy did good explaining but he said C instead of B
What is the expanded form of 5^4?
Answer:
5*5*5*5
Step-by-step explanation:
5^4 means 5 times itself four times.
Answer:
625
Step-by-step explanation:
5 x 5 x 5 x 5
which is
625
A class collected 2{,}650\,\text{L}2,650L2, comma, 650, start text, L, end text of materials to recycle. Reginald said that 2{,}650 \div 49\dfrac{1}{10}2,650÷49 10 1 2, comma, 650, divided by, 49, start fraction, 1, divided by, 10, end fraction could represent the volume of each bag if the class filled 49\dfrac{1}{10}49 10 1 49, start fraction, 1, divided by, 10, end fraction bags with material to recycle. Peni said that 2{,}650 \div 49\dfrac{1}{10}2,650÷49 10 1 2, comma, 650, divided by, 49, start fraction, 1, divided by, 10, end fraction could represent the number of containers the class filled if each container holds 49\dfrac{1}{10}\,\text{L}49 10 1 L49, start fraction, 1, divided by, 10, end fraction, start text, L, end text of material. Whose interpretation makes sense in this context?
Answer:
both interpretations make sense
Step-by-step explanation:
Reginald says (2650 L)/(49 1/10 bags) will give the volume of each bag; Peni says (2650 L)/(49 1/10 containers) will give the volume of each container. You want to know which intepretation makes sense.
ReginaldThe result of Reginald's calculation is ...
\((2650\text{ L})\div(49\dfrac{1}{10}\text{ bags})=\dfrac{2650}{49.1}\text{ L/bag}\)
The result has units of volume per bag, which is exactly what Reginald says it is.
PeniThe result of Peni's calculation is ...
\((2650\text{ L})\div(49\dfrac{1}{10}\text{ containers})=\dfrac{2650}{49.1}\text{ L/container}\)
The result has units of volume per container, which is exactly what Peni says it is.
Both interpretations make sense.
<95141404393>
Answer:
both
Step-by-step explanation:
EASY POINTS
Thomas has some leftover paint that he would like to sell. He mixes
4 3/8
gallons of blue paint with 6 5/8
gallons of white paint. Then, he pours this light-blue mixture into
1/4
gallon containers. To find out how many of these
1/4
gallon containers he can fill, which two equations would you need?
Answer:
4 3/8+6 5/8=x and x÷1/4=number of gallons
Answer:
4 3/8+6 5/8=x and x÷1/4=number of gallons
Step-by-step explanation:
A surf shop surveyed 100 customers about the number of items purchased and the length of time spent shopping in the store. Classify the random variables from the survey. A) Number of items, discrete; total time, continuous B) Number of items, continuous; total time, discrete C) Number of items, continuous; total time, continuous D) Number of items, discrete; total time, discrete E) Unable to determine from information given
Answer:
Step-by-step explanation:
Discrete variable assume a finite number of values. It can easily be counted. Continuous variable assumes an infinite number of values. It cannot be easily counted. It is mostly measured. Considering the given scenario, we can see that the number of items purchased customers can easily be counted. The length of time spent shopping can take an infinite set of values within a given range, thus it cannot be counted.
Therefore, the classification for the random variables from the survey is
A) Number of items, discrete; total time, continuous
Using the concept of continuous and discrete variables, it is found that the correct option is:
A) Number of items, discrete; total time, continuousVariables: Continuous variables: Can assume decimal values. Discrete variables: Assume only countable values, such as 0, 1, 2, 3, ...In this problem:
The number of items is countable, as you cannot have half an item, for example, hence it is discrete.Time can assume decimal values, for example, half an hour, hence it is continuous.Thus, option A is correct.You can learn more about continuous and discrete variables at brainly.com/question/25820365
can you help me find this answer
Answer:
a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.
Step-by-step explanation:
for question a, there are 18 girls in the class, this is how i worked it out:
the ratio of boys to girls is 4:3.
there are 24 boys.
24 is 6 times more than 4.
if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.
6x3= 18.
for question b i got 20 boys and 15 girls, this is how i did it.
there are 35 students in total.
4:3= boys to girls.
4+3=7
7 goes into 35 five times.
ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.
answer= 20 boys and 15 girls.
12 oranges is a better deal, this is how i worked it out.
it is 60 for 12 oranges.
it is 48 for 8 oranges.
12x5= 60 , 8x6=48.
you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.
which of the following statements is true of the sample size for nonprobability samples
The statement that is true of the sample size for nonprobability samples is that it is typically small.
Nonprobability sampling methods are often used when it is not feasible or practical to obtain a large sample that is representative of the population.
Nonprobability samples are selected based on criteria other than random selection, such as convenience, judgment, or purposive sampling. These methods are commonly used in qualitative research or when studying hard-to-reach populations.
Since nonprobability samples do not guarantee representativeness, the focus is often on in-depth exploration rather than generalization to a larger population. As a result, researchers often work with smaller sample sizes that are more manageable and allow for in-depth analysis of the selected cases or individuals.
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Chad drops a tennis ball from the top of a building that is 150 feet high. At the same time, his brother, Dane,
launches a remote-controlled plane from the base of the building upward to meet Chad.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function:
b(t)= 150-16t^2
The height of Dane's remote-controlled plane after t seconds can be represented by the linear function:
p(t) = 25t+36.
(a) What are the two solutions to this system? Show your work.
(b) Explain which solution is not reasonable in this situation
The two system solutions are about t = 2.3 seconds and t = -5.7 seconds.
In this case, the solution t = -5.7 seconds is illogical.
(a) What are the two solutions to the system of equations representing the heights of the tennis ball and Dane's remote-controlled plane?
(a) To find the solutions to the system, we need to set the height of the tennis ball and the height of Dane's plane equal to each other and solve for t.
Setting the two functions equal to each other:\(150 - 16t^2 = 25t + 36\)
To solve this quadratic equation, we'll rearrange it and set it equal to zero:\(16t^2 + 25t - 114 = 0\)
Now, we can either factor this quadratic equation or use the quadratic formula to find the solutions. Let's use the quadratic formula:\(t = (-b \pm \sqrt{(b^2 - 4ac)} / (2a)\)t = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values:\(t = (-25 \pm \sqrt{(25^2 - 4 * 16 * -114)} / (2 * 16)\)
Simplifying:\(t = (-25 \pm \sqrt{(625 + 7296)} / 32\)
\(t = (-25 \pm \sqrt{(7919)} / 32\)
Calculating the solutions:t ≈ 2.3 seconds (rounded to one decimal place)
t ≈ -5.7 seconds (rounded to one decimal place)
Therefore, the two solutions to the system are approximately t = 2.3 seconds and t = -5.7 seconds.(b) Which solution from the system of equations is not reasonable in the context of the situation involving the tennis ball and the remote-controlled plane?
(b) In this situation, the solution t = -5.7 seconds is not reasonable. Time cannot be negative in this context since it represents the duration after the tennis ball was dropped and the plane was launched.
Therefore, the negative solution does not have a meaningful interpretation in the given scenario.
The reasonable solution is t = 2.3 seconds, indicating the time it takes for the ball and the plane to meet.
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Matt earns $5 for each lawn he does. He wants to earn at least $100. Which inequality represents his situation?
Answer:
$100 is less than or equal to x
A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 5. The probability of tossing a head and then rolling a number greater than 5 is?
The probability of tossing a head and then rolling a number greater than 5 is 3/16.
To find the probability of tossing a head and then rolling a number greater than 5, we need to calculate the individual probabilities and then multiply them together.
Probability of tossing a head:
Since a fair coin has two equally likely outcomes (head or tail), the probability of tossing a head is 1/2.
Probability of rolling a number greater than 5:
An eight-sided die has eight equally likely outcomes (numbers 1 through 8). Out of these eight outcomes, there are three numbers greater than 5 (6, 7, and 8). Therefore, the probability of rolling a number greater than 5 is 3/8.
To find the probability of both events occurring, we multiply the probabilities:
Probability of tossing a head and rolling a number greater than 5 = Probability of tossing a head × Probability of rolling a number greater than 5
= (1/2) × (3/8)
= 3/16
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Find out if the lengths form a right triangle
Answer:
The triangle is a right triangle.
Step-by-step explanation:
Since The Pythagorean Theorem only works on right triangles, we can use this knowledge to prove whether this triangle is right:
\(a^2 + b^2 = c^2\\10^2 + (2\sqrt{39})^2 = 16^2\\100 + (4 \times 39) = 256\\100 + 156 = 256\\256 = 256\)
Therefore, the triangle is right.
unit 10 m homework 1 parts of a circle
1. The parts of the circle identified are as explained below. 2. Area = 153.94 m²; Circumference ≈ 43.98 m; 3. Area ≈ 706.86 ft²; Circumference ≈ 94.25 ft; 4. Area ≈ 326.85 in.; Circumference = 64.09 in.
What is a Circle?A circle is a closed two-dimensional shape that consists of points that are equidistant from a central point called the center.
1. An example of each part using the diagram of the circle given would be:
a. a center is K
b. One radius is JK
c. A chord is JL
d. Diameter is JI
e. Secant is GI
f. Tangent is GJ
g. Point of tangency is J
h. A minor arc is IL
i. A major arc is HIL
j. Semicircle is JLI
k. A central angle is <JKL
l. An inscribed angle is <HIJ
Use the area and circumference formula to calculate each required measure for each circle.
2. Area = πr² = π*7² = 153.94 m²
Circumference = 2πr = 2·π·7 ≈ 43.98 m
3. Area = πr² = π·15² ≈ 706.86 ft²
Circumference = 2·π·15 ≈ 94.25 ft
4. Area = πr² = π·10.2² ≈ 326.85 in.²
Circumference = 2·π·10.2 ≈ 64.09 in.
5. Area = πr² = π·9² ≈ 254.47 mm²
Circumference = 2·π·9 ≈ 56.55 mm
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Stephanie has to raise at least $730 to meet her yearly fundraiser goal. Her mother gave her $25 toward her goal and she is selling boxes of donuts for $5 each. What is the least number of boxes of donuts Stephanie has to sell in order to meet her goal?
Answer:
141
Step-by-step explanation:
I need help ASAP!!!!!!!!!!!!!
Answer:
a) 75
Step-by-step explanation:
i need help (IMAGE ATACHED)
Answer:
D.). –2 × (–4) × (8) × (–1)
= 8 × –8
= –64
Step-by-step explanation:
a.). 6 × (–2) × (–3) × 1
= 6 × 6 = 36
b.) –3 × (–4) × (–9) × 0
= –3 × 0
= 0
c.) –7 × (–3) × (–5) × (–8)
= 21 × 40
= 840
d.) –2 × (–4) × (8) × (–1)
= 8 × –8
= –64. ( this is the answer because the result carry a Negative Value)
I hope this helps
A running track has two semi-circular ends with radius 27m and two straights of length 90.6m as shown.
Calculate the total distance around the track rounded to 1 DP.
Answer:
350.85
Step-by-step explanation:
90.6*2 = 181.2
27*2 = 54 (diameter)
54*pi = 169.646003294
169.646003294 + 181.2 = 350.846003294
350.846003294 = 350.85
a used dirt bike was 40% off its original price. the sale resulted in a $200 discount. what was the original cost of the dirt bike before the sale and what was the amount paid
Answer:
the original price was $500
hopefully that solves your problems
If you have an investment of $6,000 that decreases in value by 10%, how much is your investment worth?
Answer:
600 $
Step-by-step explanation:
A deluxe bakery sells a cookie for $2.38, a brownie for $3.07 and a cake for $14.87. On Wednesday they sold 13 cookies, 4 brownies and 4 cakes. The cost in ingredients for each cookie is $1.7, for each brownie is $1.91 and for each cake is $5.83. How much profit did they make on Wednesday?
Answer:
$ 49.64
Step-by-step explanation:
Selling price of cookie on Wednesday = 13 × 2.38 = $30.94
Selling price for brownie on Wednesday = 4 × 3.07 = $ 12.28
Selling price for cakes on Wednesday = 4 × 14.87 = $ 59.48
Cost price for cookie = 13 × 1.7 = $ 22.1
Cost price for brownie = 4 × 1.91 = $ 7.64
Cost price for cakes = 4 × 5.83 =$ 23.32
Total profit for Wednesday= Total selling price - total cost price
That is;
(30.94 + 12.28 + 59.48) - (22.1 + 7.64 +23.32) = $ 49.64
A figure displays two nonadjacent angles, (x+2)° and (2x−4)°. If the two angles are complementary, what is the written equation?
The written equation is
(x+2)° + (2x−4)° = 90°
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
The angles that add up to 90 degree are called as complementary angles
So, the equation is
(x+2)° + (2x−4)° = 90°
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Graphically determine the optimal solution, if it exists, and the optimal value of the objective function of the following linear programming problems. 1. 2. 3. maximize z = x₁ + 2x₂ subject to 2x1 +4x2 ≤6, x₁ + x₂ ≤ 3, x₁20, and x2 ≥ 0. maximize subject to z= X₁ + X₂ x₁-x2 ≤ 3, 2.x₁ -2.x₂ ≥-5, x₁ ≥0, and x₂ ≥ 0. maximize z = 3x₁ +4x₂ subject to x-2x2 ≤2, x₁20, and X2 ≥0.
The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.
1. Graphically determine the optimal solution, if it exists, and the optimal value of the objective function of the following linear programming problems.
maximize z = x₁ + 2x₂ subject to 2x1 +4x2 ≤6, x₁ + x₂ ≤ 3, x₁20, and x2 ≥ 0.
To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:
Now, To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 3/4), (0, 0), and (3, 0).
z = x₁ + 2x₂ = (0) + 2(3/4)
= 1.5z = x₁ + 2x₂ = (0) + 2(0) = 0
z = x₁ + 2x₂ = (3) + 2(0) = 3
The maximum value of the objective function z is 3, and it occurs at the point (3, 0).
Hence, the optimal solution is (3, 0), and the optimal value of the objective function is 3.2.
maximize subject to z= X₁ + X₂ x₁-x2 ≤ 3, 2.x₁ -2.x₂ ≥-5, x₁ ≥0, and x₂ ≥ 0.
To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:
To find the optimal solution and the optimal value of the objective function,
evaluate the objective function at each corner of the feasible region:
(0, 0), (3, 0), and (2, 5).
z = x₁ + x₂ = (0) + 0 = 0
z = x₁ + x₂ = (3) + 0 = 3
z = x₁ + x₂ = (2) + 5 = 7
The maximum value of the objective function z is 7, and it occurs at the point (2, 5).
Hence, the optimal solution is (2, 5), and the optimal value of the objective function is 7.3.
maximize z = 3x₁ +4x₂ subject to x-2x2 ≤2, x₁20, and X2 ≥0.
To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:
To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 1), (2, 0), and (5, 1).
z = 3x₁ + 4x₂ = 3(0) + 4(1) = 4
z = 3x₁ + 4x₂ = 3(2) + 4(0) = 6
z = 3x₁ + 4x₂ = 3(5) + 4(1) = 19
The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.
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Are you able to help me with my summer school work?
Answer:
yes, but the assignment is not here
what is the slope of (4,3) and (1,-1) the line is positive
The slope would be 1.33
Preferred Products has issued preferred stock with an annual dividend of $6. 50 that will be paid in perpetuity. If the discount rate is 10%, at what price should the preferred sell? Note: Round your answer to 2 decimal places
a bus can take 20 girls at a time to school. the bus mahes 4 trips to take x number of girls to school. find x
Answer:
Step-by-step explanation:
x = 20 * 4
x = 20 + 20 + 20 + 20
x = 80
Answer:
80
Step-by-step explanation: No. of girls, a bus can take at a time = 20
No. of girls, a bus can take 4 times = 20*4
= 80
What is the volume of the cylinder to the nearest whole number? a) 942 cm3 b) 3,534 cm3 c)471 cm3 d) 9,420 cm3
Answer:
V = 3534 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
the radius is 7.5 and the height is 20
V = pi ( 7.5)^2 * 20
V =1125 pi cm^3
Using the pi button for pi
V =3534.291735 cm^3
Rounding to the nearest whole number
V = 3534 cm^3
Answer:
b)3534 cm^3
Step-by-step explanation:
To find the area of a cylinder, you first have to find the area of the base which is in the shape of a circle. The area of a circle is given by the equation πr^2. In this case r, the radius, is 7.5 cm. So plugging in 7.5 for r you get 7.5^2 × π. Plugging in 3.1415 for π you get ~176.671. Now all you do is multiply this by the height, 20cm, and get the answer of ~3534 cm^3.
A piece of conduit 39.0 ft long cuts across the corner of a room, as shown in the illustration. Find length x and Angle A. Round each answer to the appropriate number of significant digits
Answer:
x = 30.6 ft
A = 58.1°
Step-by-step explanation:
\(\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}\)
As the triangle is a right triangle, use Pythagoras Theorem to find length x.
\(\implies x^2+19^2=36^2\)
\(\implies x^2+361=1296\)
\(\implies x^2=935\)
\(\implies x=\sqrt{935}\)
\(\implies x=30.6\; \sf ft \;\; (3\;s.f.)\)
\(\boxed{\begin{minipage}{9 cm}\underline{Cos trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
From inspection of the given right triangle:
θ = AA = 19.0 ftH = 36.0 ftSubstitute the values into the formula and solve for A:
\(\implies \sf \cos A=\dfrac{19.0}{36.0}\)
\(\implies \sf A= \cos^{-1}\left(\dfrac{19}{36}\right)\)
\(\implies \sf A=58.1^{\circ}\;\;(3\;s.f.)\)
Factor the algebraic expression. 9a + 6
Given expression is:
\(9a+6\)Take 3 common from it:
\(9a+6=(3)(3a+2)\)So the factor are:
\(3(3a+2)\)