Answer: the answer is 21
Step-by-step explanation:
The frequency table shows the results of a survey that asked 100 eighth graders if they have a cell phone or a tablet.
What is the frequency of an 8th grader that has a cell phone but no tablet?
The relative frequency of an 8th grader that has a cell phone but no tablet is given as follows:
0.21.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.
The relative frequency of an event is equals to the probability of the event.
Out of 100 8th graders, 21 have a cellphone but no tablet, hence the relative frequency is given as follows:
21/100 = 0.21.
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im really stuck on this and it due tomorrow morning!!!! someone pls help my head is spinning:3
According to the information we can infer that the three possibilities for the fourth point to form a parallelogram with the given three points are:(4, 4), (8, -3), (-5, -2).
How to find the fourth point that forms a parallelogram?To find the fourth point that forms a parallelogram with the given three points, we need to identify points that have the same distance and parallel line segments. In other words, the opposite sides of the parallelogram must be parallel and equal in length.
Given the three points:
(1, 3), (5, 2), (-2, -3)Let's explore the possibilities for the fourth point:
(4, 4): If we add the same x and y coordinates to the second point, (5, 2), we get (5+(-1), 2+2) = (4, 4). This forms a parallelogram.(8, -3): If we add the same x and y coordinates to the third point, (-2, -3), we get (-2+10, -3+0) = (8, -3). This forms a parallelogram.(-5, -2): If we subtract the same x and y coordinates from the first point, (1, 3), we get (1-6, 3-5) = (-5, -2). This forms a parallelogram.By using these calculations, we have found three possible points that, when connected with the given three points, will form parallelograms.
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Scale on map is Lin 86 mi if actual distance is 35 mi . Between two cities how far apart on the map are they
Answer:
0.41 cm
Step-by-step explanation:
The scale on the map is 1 in 86 mi.
This means that, 1 cm on the map represents 86 miles in real life, or on earth.
Then we're told that in real life, a distance is 35 miles, and how far they are on the map.
If 1 cm equals 86 miles, then we can say that x cm equals 35 miles
1 cm ----> 86
x cm ----> 35
x * 86 = 35 * 1
x = 35 / 86
x = 0.41 cm
Therefore, they must be 0.41 cm farther or closer apart on the map scale.
if you help, ill give brainly!!
Answer:
36
Step-by-step explanation:
y + 2 x=3
so 2x3=6
y=6
so 5x6=30
30 + 6
=36
Answer:
36
Step-by-step explanation:
What is 2 3/8 as a decimal.
How do i answer the question with proof and then the other dude gets brainliest
how to factor quadratics with other leading coefficients
To factor quadratics with leading coefficients other than 1, you can follow these steps:
Write down the quadratic equation in the form ax^2 + bx + c = 0, where a, b, and c are coefficients.If the leading coefficient (a) is not 1, divide the entire equation by the leading coefficient to make it equal to 1. This step is important to simplify the factoring process.Factor the simplified quadratic equation using various factoring techniques such as the quadratic formula, grouping, or using patterns like the difference of squares or perfect square trinomials. Once you have factored the simplified quadratic equation, multiply the factored terms by the leading coefficient (a) to obtain the factored form of the original equation.Check your factoring by expanding the factored form to see if it simplifies back to the original quadratic equation.
Remember that factoring quadratics with leading coefficients other than 1 may involve more complex algebraic techniques, and in some cases, the quadratic equation may not factor easily. In such cases, you can resort to using the quadratic formula to find the roots of the equation.
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Round 2.629 to the nearest tenth.
Answer:
2.6
Step-by-step explanation:
cause it is 2.6299999999
2.629 to the nearest tenth is 2.6.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
Given:
A decimal number,
2.629.
Here, 2 is the whole number component and 0.629 is the fractional component part.
To round the number to the nearest tenth:
The number in tenth place is 6.
And the value right next to 6 is 2.
6 > 2.
So, the number will stay the same.
2.629 = 2.63
Then 2.63 = 2.6 to the nearest tenth.
Therefore, 2.6 is the required decimal.
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Order these numbers from least to greatest.
3.61, 3.6012, 3.6, 4.514
Answer:
3.6, 3.6012, 3.61, 4.514
Noah is having trouble solving two equations. In each case, he took steps that he thought were acceptable but ended up with statements that are clearly not true. Analyze Noah’s work on each equation and the moves he made. Were they acceptable moves? Why do you think he ended up with a false equation? Discuss your observations with your group and be prepared to share your conclusions. If you get stuck, consider solving each equation.
Answer:
For the first one, Noah's actions were accecptable. For the second one, Noah made a mistake.
Step-by-step explanation:
In the second equation, Noah failed to get x on one side of the equal sign. In his third step, he should have subtracted 2x from both sides instead of 10. Correct answer below:
2(5 + x ) - 1 = 3x + 9 original equation
10 + 2x -1 = 3x + 9 apply the distributive property
10 - 1 = x + 9 subtract 2x from both sides
9 = x + 9 subtract 1 from 10
0 = x subtract 9 from both sides
Suppose y varies inversely with x, and y = 49 when x = 17
. What is the value of x when y = 7 ?
Answer:
119 is the value of x when y = 7
Step-by-step explanation:
Since y varies inversely with x, we can use the following equation to model this:
y = k/x, where
k is the constant of proportionality.Step 1: Find k by plugging in values:
Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality. We can find k by plugging in 49 for y and 17 for x:
Plugging in the values in the inverse variation equation gives us:
49 = k/17
Solve for k by multiplying both sides by 17:
(49 = k / 17) * 17
833 = k
Thus, the constant of proportionality (k) is 833.
Step 2: Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:
Plugging in the values in the inverse variation gives us:
7 = 833/x
Multiplying both sides by x gives us:
(7 = 833/x) * x
7x = 833
Dividing both sides by 7 gives us:
(7x = 833) / 7
x = 119
Thus, 119 is the value of x when y = 7.
A zoo charges a rental fee plus $2 per hour for strollers. The total cost of 5 is $13. Assume the relationship is linear. Find and intercept the rate of change and initial value
The y-intercept is 3.
The rate of change is 2 and the initial value 5.
What is a linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A zoo charges a rental fee plus $2 per hour for strollers.
The total cost of 5 is $13.
Assume the relationship is linear.
Let x be the number of hours.
And y be the total cost.
So,
y = 2x + m, where m is the rental fee.
Here, x = 5 and y = 13
So,
13 = 10 + m, where m is the rental fee.
m = 3
So, the equation is y = 2x + 3.
When x = 1,
y = 5.
Here, 3 is the y-intercept and 2 is the rate of change.
Hence, 3 is the y-intercept and 2 is the rate of change.
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What is the complete factorization of the polynomial below?
O A. (x+2)(x+)(**)
OB. (x-2)(x+)(x-)
C. (x-2)(x+)(x+1)
OD. (x+2)(x+1)(x-1)
The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)
What is an equation?
An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
A polynomial is an expression consisting of coefficients and variables forming an equation.
Given the polynomial:
x³ + 2x² -x - 2
Factorizing:
= (x + 2)(x² - 1)
= (x + 2)(x + 1)(x - 1)
The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)
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0.135 written as a fraction is o 5/37 O 27/200 O 27/100
Answer:
27/200 :)
Step-by-step explanation:
use spherical coordinates. evaluate x2 dv, e where e is bounded by the xz-plane and the hemispheres y = 1 − x2 − z2 and y = 16 − x2 − z2
To evaluate x² dV over the region E bounded by the xz-plane and the hemispheres y = √16 − x² − z² and y = √25 − x² − z² using spherical coordinates, set up the triple integral as ∫∫∫ (r sin θ cos φ)² r² sin θ dr dθ dφ, with the limits of integration as 0 ≤ r ≤ √(16 - z²), 0 ≤ θ ≤ π/2, and 0 ≤ φ ≤ 2π.
To evaluate the integral x² dV using spherical coordinates, we first need to express the integral in terms of the spherical coordinate system. The differential volume element in spherical coordinates is given by dV = r² sin θ dr dθ dφ.
Since we want to find the integral over the region E, which is bounded by the xz-plane and the two hemispheres, we need to determine the limits of integration for the spherical coordinates.
The bounds for the other two spherical coordinates, r and φ, can be determined by considering the equations of the two hemispheres.
For the upper hemisphere, we have:
y = √(16 - x² - z²)
Setting y = 0, we can solve for r and z:
0 = √(16 - x² - z²)
Squaring both sides, we get:
0 = 16 - x² - z²
Rearranging the equation, we have:
x² + z² = 16
This represents the boundary of the upper hemisphere, so the limits for r and φ will be determined by this equation.
For the lower hemisphere, we have:
y = √(25 - x² - z²)
Setting y = 0, we can solve for r and z:
0 = √(25 - x² - z²)
Squaring both sides, we get:
0 = 25 - x² - z²
Rearranging the equation, we have:
x² + z² = 25
This represents the boundary of the lower hemisphere, so the limits for r and φ will be determined by this equation.
Using the spherical coordinate system, we can rewrite x² dV as (r sin θ cos φ)² r² sin θ dr dθ dφ.
Now, we can set up the integral:
∫∫∫ (r sin θ cos φ)² r² sin θ dr dθ dφ
The limits of integration are as follows:
0 ≤ r ≤ √(16 - z²)
0 ≤ θ ≤ π/2
0 ≤ φ ≤ 2π
By evaluating this triple integral, we can find the value of x² dV over the region E.
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Complete Question:
Use spherical coordinates. Evaluate x² dV, E where E is bounded by the xz-plane and the hemispheres y =√16 − x² − z² and y = √25 − x² − z² .
A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
Please help! Will mark brainlyest.
The volume of the rectangular prism is 140 cubic meters.
The formula for finding the volume of a rectangular prism is length x width x height.
Given that the length is 4 meters, the width is 5 meters, and the height is 7 meters, we can substitute these values into the formula to find the volume:
Volume = length x width x height
Volume = 4m x 5m x 7m
Multiplying these values together, we get:
Volume = 140 cubic meters
Therefore, the volume of the rectangular prism is 140 cubic meters.
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pls help me with this
Which fraction is equivalent to a repeating decimal?
A. 3/50
B. 11/100
C. 4/9
D. 7/8
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
All of the others are equal to .06,.11, and .875 so its C
will mark brainliest! in kite UVWX, m
Answer:
52
Step-by-step explanation:
Norman is 12 years older than Michael. In 6 years, he will be twice as old as Michael. How old is Michael 3
Michael is currently 6 years old and Norman is 18 years old. In 6 years, Michael will be 12 years old and Norman will be 24 years old.
Norman is 12 years older than Michael. To determine Michael's age we need to subtract 12 from the age Norman will be in 6 years. In 6 years, Norman will be twice as old as Michael.
Let N = Norman's age now
Let M = Michael's age now
N= M+ 12
N+ 6= 2 (M+6)
N- 12 = M
N+6=2(N- 12+6)
N+ 6 = 2(N-6)
N+ 6 = 2N - 12
18 = N
This means that in 6 years, Norman will be 24 years old. To determine Michael's age we need to subtract 12 from 24. This gives us 12, which is the age Michael will be in 6 years. Therefore, Michael is currently 6 years old and Norman is 18 years old. In 6 years, Michael will be 12 years old and Norman will be 24 years old.
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\(x^{3} \\\) + \(y^{3} = z^{3}\)
Explain why?
Answer:
\(x^{3} \\\) + \(y^{3} = z^{3}\)
Any variable/number can be replaced by z because its just an assumption.
Step-by-step explanation:
When concordant pairs exceed discordant pairs in a p-q relationship, kendall's tau b reports a(n) _____ association between the variables under study.
When concordant pairs exceed discordant pairs in a p-q relationship, Kendall's tau b reports a positive association between the variables under study.
Concordant pairs refer to pairs of observations where the values of both variables increase or decrease together. Discordant pairs, on the other hand, refer to pairs where the values of one variable increase while the other decreases, or vice versa.
Kendall's tau b is a measure of association that ranges from -1 to 1. A positive value indicates a positive association, meaning that as the values of one variable increase, the values of the other variable also tend to increase. In this case, when concordant pairs exceed discordant pairs, it suggests that the variables are positively associated.
To illustrate this, let's consider an example. Suppose we are studying the relationship between the number of hours spent studying and exam scores. If we find that there are more concordant pairs (i.e., when students who study more hours tend to have higher scores, and vice versa) compared to discordant pairs (i.e., when some students who study more hours have lower scores, and vice versa), then Kendall's tau b would report a positive association between the hours studied and exam scores.
In summary, when concordant pairs exceed discordant pairs in a p-q relationship, Kendall's tau b indicates a positive association between the variables being studied.
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Which property of equality was used to solve this equation?
x − 5 = -14
x − 5 + 5 = -14 + 5
x = -9
A.
addition property of equality
B.
subtraction property of equality
C.
multiplication property of equality
D.
division property of equality
Answer:
A
Step-by-step explanation:
as one number being added on both sides
A group of 185 incoming first-year students at a university were surveyed randomly in order to determine the factor that influenced their decision to choose to attend the university.
The results of the survey are as shown below.
soccer team: 25
available degree programs: 55
affordability: 65
location: 40
Determine the population, the sample, and the conclusion of the survey.
A.
Population: all of the students at the university
Sample: a group of 185 incoming first-year students
Conclusion: The reason for the majority of the students to choose the university was affordability.
B.
Population: all of the first-year students at the university
Sample: a group of 185 incoming first-year students
Conclusion: The reason for the majority of the students to choose the university was soccer team.
C.
Population: all the first-year students at the university
Sample: a group of 185 incoming first-year female students
Conclusion: The reason for the majority of the students to choose the university was affordability.
D.
Population: all the first-year students at the university
Sample: a group of 185 incoming first-year students
Conclusion: The reason for the majority of the students to choose the university was affordability.
Answer: D. Population: all the first-year students at the university
Sample: a group of 185 incoming first-year students
Conclusion: The reason for the majority of the students to choose the university was affordability.
Answer:
D. Population: all the first-year students at the university
Sample: a group of 185 incoming first-year students
Conclusion: The reason for the majority of the students to choose the university was affordability..
4. Solve 15t – 6 < 12t. use photo for choices
Answer:
t < 2
Step-by-step explanation:
15t – 6 < 12t15t - 12t < 63t < 6t < 6/3t < 2your investment has a 40% chance of earning a 15% rate of return, a 50% chance of earning a 10% rate of return, and a 10% chance of losing 3%. what is the standard deviation of this investment? multiple choice 5.14% 7.59% 9.29% 8.43%
The standard deviation of the investment is option (d) 8.43%
To calculate the standard deviation of this investment, we need to first calculate the expected rate of return
Expected rate of return = (0.4 x 15%) + (0.5 x 10%) + (0.1 x -3%)
= 6% + 5% - 0.3%
= 10.7%
Next, we need to calculate the variance of the investment:
Variance = (0.4 x (15% - 10.7%)^2) + (0.5 x (10% - 10.7%)^2) + (0.1 x (-3% - 10.7%)^2)
= 0.00744
Finally, we can calculate the standard deviation by taking the square root of the variance
Standard deviation = √(0.00744)
= 0.08626
= 8.43%
Therefore, the correct option is (d) 8.43%
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The parent function of graph C below is:
A) y=b^x
B) y=|x|
C) y=sqrtx
D) y=x^3
Answer: Well, it’s obviously not the first one. But if you could scroll down, so I could see the other graphs, that would be amazing. It would also help me answer the question!
Step-by-step explanation:
Justin is playing tennis. When serving, he stands 12 feet away from the net, which is 3 feet tall. The ball is served from a height of 7.5 feet. Justin thinks the ball travels about 21.4 feet before it hits the ground 8 feet from the net on the opposite side.
a) How far does the ball travel?
b) What assumptions did you make to solve the distance the ball travels?
c) What mathematical practice did you use to solve this problem?
Considering Justin's serve, it is found that:
a) The ball traveled 21.4 feet, which means that Justin's estimate is correct.
b) An assumption regarding the angle of Justin's serve was made.
c) The Pythagorean Theorem was used to solve this mathematical problem.
Pythagorean TheoremThe Pythagorean Theorem relates the length of the legs \(l_1\) and \(l_2\) of a right triangle(triangle which has an angle of 90º between the two legs) with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following rule:
\(h^2 = l_1^2 + l_2^2\)
Assuming that the ball was served at an angle of 90º, the situation can be summarized as follows:
Distance of the serve: hypotenuse of the triangle.Bottom leg: horizontal change, of 20 feet, 12 feet on one side of the net and 8 feet on the other side of the net. Top leg: vertical change, of 7.5 feet, as the serve was made at a height of 7.5 feet, and hit the ground, where the height is of 0.Hence the Pythagorean Theorem is applied and the distance is calculated as follows:
d² = 7.5² + 20²
d = sqrt(7.5² + 20²)
d = 21.4 feet.
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find the slope of the line that passes through each pair of points. (2,4) and (9,12)
Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.
What is Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:
m= (y₂ - y₁)÷ (x₂ - x₁)
Slope of the line in this caseIn this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:
m= (12 -4)÷ (9 -2)
Solving:
m= 8÷ 7= 8/7
Finally, the slope of the line is 8/7.
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Find the vertex of the graph of the quadratic function. Determine whether the graph opens upward or downward, find the y-intercept, and sketch the graph. f(x) = -x- 8x-7
The answer is : (-4, 9)
The given function is:
f(x) = -x^2 - 8x - 7
To find the vertex of the parabola, we need to complete the square as follows:
f(x) = -(x^2 + 8x) - 7
= -(x^2 + 8x + 16) + 16 - 7
= -(x + 4)^2 + 9
Hence, the vertex is (-4, 9).
Since the coefficient of x^2 is negative, the parabola opens downward.
To find the y-intercept, we set x = 0:
f(0) = -0^2 - 8(0) - 7 = -7
Therefore, the y-intercept is (0, -7).
To sketch the graph, we plot the vertex (-4, 9) and the y-intercept (0, -7). Since the parabola opens downward, it will have a maximum value at the vertex. We can also plot a few other points by choosing values of x and calculating the corresponding values of y.
Therefore, the vertex is (-4, 9).
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help me with this question
Answer:
15/4
Step-by-step explanation:
The formula for slope is:
(y₂-y₁)/(x₂-x₁)
Now we plug in the coordinates given to us into the equation:
(5-(-10))/(-1-(-5))
15/4
compare by using < > or = between the pairs of numbers l - 8l ____ l2l
here are 15 points if you help me lovely person ;)
Answer:
It is >
Step-by-step explanation:
because the absolute value of -8 is 8 and the absolute value of 2 is 2 so 8 is bigger than 2