Answer:
49
Step-by-step explanation:
a+87=136
a=136-87
a=49
A city park has an area of 1 square mile and contains 640 acres. How many square meters are in 2 acres
Answer:
One acre is equal to 4046.86 square meters. Thus, 2 acres is equal to:
2 acres x 4046.86 square meters/acre = 8093.72 square meters.
Therefore, there are 8093.72 square meters in 2 acres.
Step-by-step explanation:
what percent of the variation in final exam scores was accounted for by the linear association with internet class time in this study?
We cannot compute the percentage of variation in final exam scores, Without knowing the correlation coefficient or regression equation.
To determine the percentage of variation in final exam scores that is explained by the linear relationship with Internet instruction time, we need to calculate the coefficient of determination, denoted \(R^2.\)
R-squared is the proportion of the variance of the dependent variable (final grade) that can be explained in a linear regression model by the independent variable (internet class hours).
It ranges from 1, showing that the demonstration does not clarify the change, and 1 demonstrating that the demonstration clarifies all the fluctuation.
In case you've got as of now calculated the relationship coefficient (r) between Web class hours and last exam scores, you'll be able to calculate \(R^2\)as follows:
\(R^2 = r^2\)
Then again, once you've got the relapse condition, you'll be able to compute\(R^2\)the square of the relationship between the anticipated and genuine values of the subordinate variable.
\(R^2 = (SSR/SST)\)
where SSR is the sum of squared residuals (also called the explained sum of squares) and SST is the total sum of squares.
You cannot calculate \(R^2\)without knowing the correlation coefficient or the regression equation.
Therefore, we need more information on studies such as: Using data or summary statistics,
to determine the value of \(R^2\)to determine the percentage of variation in final exam scores explained by a linear relationship with Internet instruction time.
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In a movie theater 150 feet long, the floor is sloped so there is a difference of 30 feet between the front and back of the theater. What is the angle of elevation to the nearest degree?
Answer:
90
Step-by-step explanation:
Answer:
the angle of elevation is 11.537 degrees
Step-by-step explanation:
The perimeter of a reclangle is 44 meters. Its width is 10 meters. What is the length of the rectangle
A.10 meters
B.12 meters
C.14 meters
D.34 meters
Answer: B
The answer would have to be B because when finding the perimeter, you add all the sides up together. If one of the width of the rectangle is 10, then the other would also be 10, which already makes 20. If both lengths are 12, they would add up to be 24. And finally, 20+24=44!
HELP! PLEASE DONT NEED TO SHOW WORK! NO FALSE ANSWERS
Answer:
A. 12.
Step-by-step explanation:
In a 30-60-90 triangle the ratio of the shortest leg to the hypotenuse is 1:2.
So here the hypotenuse = 2*6 = 12 units long.
A public health official claims that mean home water use is 300 gallons a day. To verify this claim, a study of 12 randomly selected homes was instigated with the result that average daily water uses of these 12 homes were as follows:
275, 280, 277, 301, 258, 264, 273, 306, 295, 281, 284, 312
Do the data contradict the official claim at 1% level of significance?
The data does not contradict the official claim at the 1% level of significance.
To determine if the data contradicts the official claim, we can perform a hypothesis test.
The null hypothesis (H₀) is that the mean home water use is 300 gallons a day, and the alternative hypothesis (H₁) is that the mean home water use is not equal to 300 gallons a day.
We can use a t-test to compare the sample mean to the claimed mean. Given that we have a small sample size (n = 12) and the population standard deviation is unknown, a t-test is appropriate.
Let's perform the hypothesis test using a significance level of 0.01.
State the hypotheses:
H₀: μ = 300 (The mean home water use is 300 gallons a day)
H₁: μ ≠ 300 (The mean home water use is not equal to 300 gallons a day)
Set the significance level (α):
α = 0.01
Compute the test statistic:
We can use the t-test formula:
t = (x(bar) - μ) / (s / √(n))
where x(bar) is the sample mean, μ is the claimed mean, s is the sample standard deviation, and n is the sample size.
x(bar) = (275 + 280 + 277 + 301 + 258 + 264 + 273 + 306 + 295 + 281 + 284 + 312) / 12 = 284.25 (rounded to two decimal places)
μ = 300 (claimed mean)
s = √([(275-284.25)² + (280-284.25)² + ... + (312-284.25)²] / (12-1)) = 15.10 (rounded to two decimal places)
t = (284.25 - 300) / (15.10 / √(12)) ≈ -1.65 (rounded to two decimal places)
Determine the critical value:
Since the alternative hypothesis is two-tailed, we need to find the critical t-value for a significance level of 0.01 and degrees of freedom (df) equal to n - 1 = 12 - 1 = 11.
Using a t-table or a t-distribution calculator, the critical t-value is approximately ±2.718 (rounded to three decimal places).
Make a decision:
If the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
Since |-1.65| < 2.718, we fail to reject the null hypothesis.
State the conclusion:
Based on the data and the hypothesis test, there is not enough evidence to contradict the official claim that the mean home water use is 300 gallons a day at a 1% level of significance.
Therefore, the data does not contradict the official claim at the 1% level of significance.
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There are four people in Haydens family. Each person always eats 3/4 of a cheese pizza. How many whole pizzas should they order?
In linear equation,3 whole pizzas should they order .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
total people = 4
Each person always eats 3/4 of a cheese pizza.
3/4 + 3/4 + 3/4 + 3/4
= 3 + 3 + 3 + 3 /4
= 12/4
= 3
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Part A: If Angle A and Angle B are vertical angles, what is value of x
A. 8
B. 10
C. 35
D. 28
Answer:
A. 8
Step-by-step explanation:
Since ∠A and ∠B are vertical, we can create the equation: 40 = 5x.
40 = 5x
There is only one other thing we need to do, and that's divide by 5.
40/5 = x
x = 8
The value of x in this case is 8, which is A.
How do I round up this number 86,088
Answer:
86,000
Step-by-step explanation:
You look at the 88 and 88 would round up to one, but since 1 is less than four the number becomes 86,000
School ends at 3:15 pm. The school provides after -school care for a maximum of 150 minutes after school ends. When is the latest time for pick up?
The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm
How can minutes be converted into hours?Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.
The time that school ends = 3:15 pm
The latest time for pick up after school care = 150 minutes after school ends
Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes
60 minutes = 1 hour
150 minutes = (1/60) × 150 = 2.5
The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm
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Find the midpoint of the line segment joining the points P₁ and P2. P₁ = (2,-5); P₂=(4, 5) The midpoint of the line segment joining the points P₁ and P₂ is ___
The midpoint of the line segment joining the points P₁ and P₂, where P₁ = (2,-5) and P₂ = (4, 5), can be found. To find the midpoint of a line segment joining two points, P₁ and P₂, we can use the midpoint formula.
To find the midpoint of a line segment, we use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) between two points (P₁ and P₂) can be calculated by taking the average of the corresponding x-coordinates and the average of the corresponding y-coordinates.
Given that P₁ = (2,-5) and P₂ = (4, 5), we can calculate the midpoint as follows:
The x-coordinate of the midpoint (Mx) = (x-coordinate of P₁ + x-coordinate of P₂) / 2
Mx = (2 + 4) / 2 = 6 / 2 = 3
The y-coordinate of the midpoint (My) = (y-coordinate of P₁ + y-coordinate of P₂) / 2
My = (-5 + 5) / 2 = 0 / 2 = 0
In geometric terms, the midpoint is the point that lies exactly halfway between P₁ and P₂ along the line segment. It can be visualized as the point that divides the line segment into two equal halves. The x-coordinate of the midpoint, 3, represents the average position of the x-coordinates of P₁ and P₂, while the y-coordinate of the midpoint, 0, represents the average position of the y-coordinates of P₁ and P₂.
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Find the midpoint of the line segment joining the points P₁ and P₂. P₁ = (2,-5); P₂=(4, 5) The midpoint of the line segment joining the points P₁ and P₂ is ___.
The total length of a road trip was 13.2 hours. If highway signs are posted every 0.06 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?
There will be 221 highway signs on the road trip.
What is Total Length?
Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).
The total length of the road trip is 13.2 hours.
Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:
(number of signs) = (total length of road trip) / (interval between signs) + 1
Substituting the values, we get:
(number of signs) = 13.2 / 0.06 + 1
(number of signs) = 220 + 1
(number of signs) = 221
Therefore, there will be 221 highway signs on the road trip.
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Write the numbers in expanded form.
78......
157......
293......
Answer:
70-8, 100-50-7, 200- 90-3
A rectangular garden has an area of 80m^2. Its length is 2 meters longer than its width. How much fencing is needed to enclose the garden
Answer:
Step-by-step explanation:
Formula
A = L * w
P = 2*L + 2*w In Effect, you are trying to find P
Givens
A = 80 m^2
w = x
L = x + 2
Solution
x*(x + 2) = 80 Remove brackets
x^2 + 2x = 80 Subtract 80 from both sides
x^2 + 2x - 80 = 80-80 Combine
x^2 + 2x - 80 = 0 Factor the quadratic
(x - 8)(x + 10) = 0
x + 10 is an extraneous solution: x would = -10 which can't exist
x - 8 = 0
x = 8
w = 8
L = 8 + 2 = 10
L = 10
Fencing
P = 2L + 2w
P = 2*10 + 2*8
P = 20 + 16
P = 36 meters
Answer
36 meters of fencing is needed
Which explanation correctly tells whether these ratios are equivalent and why?
Yes because 3 x 2 = 6 and 14 x 2 = 28.
No because there is no scale factor to get from 3 to 14.
Yes because 3 x 5 = 14 and 6 x 5 = 28.
No because when I use the cross products, 3 x 14 = 42 and 6 x 28 = 168.
Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.
Step-by-step explanation:This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.
=> Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.=> Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.Hoped this helped.
\(BrainiacUser1357\)
5. Write an equation that models exponential decay.
Answer:
Step-by-step explanation:
y = ab^x where 0<b<1 for exponential decay
an example would be y = 3(1/7)^x
Please answer this!!!! Please answer this correctly or I will not mark you as a BRAINLIST!
1)
a) 1/20
b) 19/20
c) 12/20
d) not sure
e) 8/20
2)
a) 3/6
b) 2/6
c) not sure
d) 3/6
Please mark brainlist took 5 minutes to do
??? Answers please.....
Write the following equation in slope intercept form.
6x+5y=-15
Which set of statements shows the correct steps to find 45 percent of 75?
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 1.67.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 16.7.
Answer:
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75
The value of 45 percent of 75 is 33.75 and this can be determined by using the unitary method and the given data.
Given :
Number --- 75
The following steps can be used in order to determine the 45 percent of 75:
Step 1 - The unitary method can be used in order to determine the 45 percent of 75.
Step 2 - According to the given data, the given number is 75 which is 100%.
Step 3 - So, if 100% is 75 then the value of 45% is:
\(=\dfrac{45}{100}\times 75\)
Step 4 - Simplify the above expression.
= 33.75
Therefore, the correct option is A).
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in a box are four cards numbered 5, 10, 15, 20. two cards are taken out at random without replacement, and x is the total; of the numbers on the two card
By using the formula for mean and variance, it can be calculated that
Mean of X = 25
Variance of X = 51.67
What is mean and variance?
Suppose there is a data set. Mean gives the average of the values of the data set
Variance is the square of the sum of deviation from mean.
Let x be the total; of the numbers on the two card
Possible values of X= 15, 20, 25, 30, 35
P(X = 15) = \(\frac{2}{12}\)
P(X = 20) = \(\frac{2}{12}\)
P(X = 25) = \(\frac{4}{12}\)
P(X= 30) = \(\frac{2}{12}\)
P(X = 35) = \(\frac{2}{12}\)
Mean of X =
\(15 \times \frac{2}{12} + 20 \times \frac{2}{12} +25 \times \frac{4}{12} + 30 \times \frac{2}{12} + 35 \times \frac{2}{12}\\\\\frac{300}{12}\\\\25\)
Variance of X =
= \((225 \times \frac{2}{12} + 400 \times \frac{2}{12}+625 \times \frac{4}{12}+900 \times \frac{2}{12}+1225 \times \frac{2}{12}) - (25)^2\\\\\frac{8000}{12} - 625}\\\\666.67 - 625\\\\51.67\)
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Complete Question
In a box are four cards numbered 5, 10, 15, 20. two cards are taken out at random without replacement, and X is the total; of the numbers on the two card. Find the mean and variance of X .
2. Will you consider these mathematical phrases as polynomials? Why
or why not?
Yes, mathematical phrases can be considered as polynomials. Because the mathematical sentences conform to the definition of polynomial.
Will you consider these mathematical phrases as polynomials? Why or why not?A polynomial is a mathematical expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
Mathematical phrases, such as:
"3x^2 + 2x - 5" or "2y^3 - 4y + 1"
Are examples of polynomials because they only involve the operations of addition, subtraction, multiplication, and non-negative integer exponents. Therefore, mathematical phrases can be considered as polynomials.
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I beg you to help me .
Answer:
16+3=y
y=19
Step-by-step explanation:
In the figure below lines ac and ef are parallel lines BE and CF are parallel m
The measure of angle CFD is 165 degrees.
In the given figure, we have lines AC and EF that are parallel, and lines BE and CF that are parallel as well.
We are given that the measure of angle BCF is 67° and the measure of angle GAR is 98°. We need to determine the measure of angle CFD.
Due to the parallel lines AC and EF, we can establish that angle BCF and angle ACF are corresponding angles and hence have equal measures.
Therefore, angle ACF is also 67°.
Now, angle CFD is an exterior angle formed when line CF intersects with transversal line GD.
According to the Exterior Angle Theorem, the measure of the exterior angle is equal to the sum of the measures of the two interior angles that are adjacent to it.
In this case, angle CFD is the sum of angle ACF and angle GAR.
Substituting the known values, we have angle CFD = 67° + 98° = 165°.
∠CFD = 165°
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Please help me ! Thanks in advance ❤️
Answer:2,610,000,000
Step-by-step explanation:
Can you provide the solution for this exercise?
Let u(w) = −(b − w)c. What restrictions on w, b, and c are required to ensure that u(w) is strictly increasing and strictly concave? Show that under those restrictions, u(w) displays increasing absolute risk aversion.
under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.
To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.
To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.
Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.
In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.
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Miguel builds a model airplane with the scale 1 in. = 6 ft. If the actual airplane wing is 36 feet long how many feet is the model air planes wing?
Answer:
6 in or 0.5 ft
Step-by-step explanation:
6 ft = 1 in so
36 ft = 6 in
because 36 / 6 = 6 and 1 * 6 = 6
What is 100 raised to the sixth power?
"100 raised to the sixth power" can be written in an algebraic expression as follows:
\(100^6\)Meaning that we have to multiply 100 six times:
\(100^6=100\times100\times100\times100\times100\times100\)We can simplify by multiplying each 100 (adding the 0 of the next one hundred to the previous one) as follows:
0. Adding the 0 of the second 100 to the first
\(100^6=10,000\times100\times100\times100\times100\)2. Adding the 0 of the third (now second from the previous operation) 100 to the first:
\(100^{6}=1,000,000\times100\times100\times100\)3. Adding the 0 of the fourth (now second from the previous operation) 100 to the first:
\(100^{6}=100,000,000\times100\times100\)4. Adding the 0 of the fifth (now second from the previous operation) 100 to the first:
\(100^6=10,000,000,000\times100\)5. Adding the 0 of the sixth (now second from the previous operation) 100 to the first:
\(100^6=1,000,000,000,000\)Answer:
\(100^6=1,000,000,000,000=1\times10^{12}\)The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.
\(15 + (7 - 10\)equals what?a: 13b: 36c: 12
we solve the absolute value first
\(\begin{gathered} 15+|-3| \\ 15+3 \end{gathered}\)and do the sum
\(15+3=18\)