(d) 34% is the percentage of the data between 75 and 100.
A set of data is normally distributed with a mean of 100 and a standard deviation of 25. To find the percentage of the data which is between 75 and 100, we have to standardize both values. It means we will convert 75 and 100 into z-scores.
The z-score is calculated using the formula: z = (x - μ) / σ
Where:
x = raw score
μ = population mean
σ = population standard deviation (SD)
Let's convert 75 and 100 into z-scores:
For x = 75:
z₁ = (x₁ - μ) / σ
z₁ = (75 - 100) / 25
z₁ = -1
For x = 100:
z₂ = (x₂ - μ) / σ
z₂ = (100 - 100) / 25
z₂ = 0
So, the values of z₁ and z₂ are -1 and 0 respectively.
Now, we have to find the area between these two z-values. It means we have to find the area from z₁ to z₂ in the standard normal distribution table.
In the standard normal distribution table, the area from -1 to 0 is 0.3413.
So, the percentage of the data between 75 and 100 is 34.13%.
Hence, the correct option is (d) 34%.
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Sassan finds that 2 pints 1 cup of water has evaporated from the class aquarium. How many pints of water are left in the aquarium
The pints of water left in the aquarium is 2.5 pints
Converting cups to pintUsing the conversion rule sho below:
1 cup = 0.5 pint
If Sassan finds that 2 pints 1 cup of water have evaporated from the class aquarium, the total pint that evaporated is expressed as:
Total pint = 2 pints + 0.5 pint
Total pint = 2.5 pints
Hence the pints of water left in the aquarium is 2.5 pints
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Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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Please help 13 points geometry!!
1, 140 °
2, 40°
3, 100 °
4, 100°
5, 40°
6, 90 °
7, 120 °
8, 130 °
Step-by-step explanation:
1, BOA IS EQUAL TO FOH = 140°
2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°
3, BOA° + GOF° =40° + 60° = 100 °
4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°
5, COD = HOG =40 °
6, EOD= AOG = 90°
7, AOD = GOE + COD = 100° + 40 ° = 140°
8, BOG = 140 °
I need this to raise my grade
Answer:
PLease send a cclearer pic
Step-by-step explanation:
let the ratio of two numbers x+1/2 and y be 1:3 then draw the graph of the equation that shows the ratio of these two numbers.
Step-by-step explanation:
since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:
(x + 1/2)/y = 1/3
This can be simplified to:
x + 1/2 = y/3
To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:
x + 1/2 = 6/3
x + 1/2 = 2
x = 2 - 1/2
x = 3/2
So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.
(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)
Indica el exponente de X
Answer:
x=56
Step-by-step explanation:
A public parking garage charges $5, plus an additional $2 per hour.
Choose the graph of the line.
Answer:
2nd one
Step-by-step explanation:
Graph-2 is correct line that represents the parking charge of the public garage.
What is a linear equation?A linear equation is an equation where the variable has the highest degree of 1.
Given, a public parking garage charges $5, plus an additional $2 per hour.
For 1 hour, the total cost will be = $(5 + 2 × 1) = $7.
For 2 hours, the total cost will be = $(5 + 2 × 2) = $9.
For 3 hours, the total cost will be = $(5 + 2 × 3) = $11.
For 4 hours, the total cost will be = $(5 + 2 × 4) = $13.
For 5 hours, the total cost will be = $(5 + 2 × 5) = $15.
Here, the increase in parking cost is in the form of linear equation and it increases $2 with the increase in every hour.
Therefore, graph-2 represents the actual line of cost of the parking charge and time.
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The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80,find both numbers
Answer:
Step-by-step explanation:
13 and 67
Relationship between the sines and cosines of complementary angles
The trigonometric ratios have been determined and the angles T and U are complementary.
What are Trigonometric Ratios?Trigonometric Ratios are ratios of the side of a right-angled triangle. These are used to find the missing sides and angles of a right-angled triangle.
A right-angled triangle is a triangle with a measure of one of the angles as 90 degrees.
The triangle TUV is a right-angled triangle, the sides of the triangle are t, u, and v.
Part 1:
The angle T is not equal to angle U.
But by the angle sum property,
T + U + V = 180
T + U = 90
Both the angles are complementary.
Part 2:
The trigonometric ratios are as follows:
sin T = t/v
cos T = u/v
sin U = u/v
cos U = t/v
Part 3:
From the data in part 2,
Options C and D are the correct statements.
sin T = cos U
cos T = sin U
Part 4:
sin 37 = cos ( 90-37)
sin 37 = cos 53
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Find a vector function r(t), that represents the curve of intersection of the two surfaces. the cylinder x2 y2=36 and the surface z=4xy
Given:
\(\begin{aligned}&x^2+y^2=16 \\&z=x y\end{aligned}\)
Express 16 as \(4^{2}\): \(x^2+y^2=16\)
\(x^2+y^2=4^2\\x^2+y^2=4^2 \times 1\)
Trignometry,
\(\cos ^2(t)+\sin ^2(t)=1\)
Now, substitute \(\cos ^2(t)+\sin ^2(t)\) for 1:
\(\begin{aligned}&x^2+y^2=4^2 \times 1 \\&x^2+y^2=4^2 \times\left[\cos ^2(t)+\sin ^2(t)\right]\end{aligned}\\x^2+y^2=4^2 \times \cos ^2(t)+4^2 \times \sin ^2(t)\)
Law of indicates:
\(\begin{aligned}&x^2+y^2=[4 \times \cos (t)]^2+[4 \times \sin (t)]^2 \\&x^2+y^2=[4 \cos (t)]^2+[4 \sin (t)]^2\end{aligned}\\x^2=[4 \cos (t)]^2 \text { and } y^2=[4 \sin (t)]^2\)
Taking positive square roots as follows:
\(x=4 \cos (t), y=4 \sin (t)\)
Recall that, z = xy.
Now, we have:
\(\begin{aligned}&z=4 \cos (t) \times 4 \sin (t) \\&z=16 \cos (t) \cdot \sin (t)\end{aligned}\)
Now, substitute the values:
\(r(t)=x_t i+y_t j+z_t k\)
So, the vector r(t) is: \(r(t)=(4 \cos (t)) i+(4 \sin (t)) i+(16 \cos (t) \cdot \sin (t)) i\)
Therefore, the vector function r(t) is written as: \(r(t)=x_t i+y_t j+z_t k\)
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Please answer this quickly
which test should be used to determine if a difference exists between the proportion of all ucf and usf students who prefer to use hand sanitizer?
the proportion of all ucf and usf students who prefer to use hand sanitizer is in between 2.646% and 7.65%
What is z test?
If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.
When there are multiple alternatives accessible, hypothesis testing is utilised. To decide whether to accept or reject the null hypothesis, the z test is performed in the mean, which determines the t value. This value is then compared with the p value. The alternate explanation in this case is mu, which is represented. For P1 and P2, the 90% confidence interval is (- 0.0765, 0.02646).
Hence, the proportion of all ucf and usf students who prefer to use hand sanitizer is in between 2.646% and 7.65%
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S=(1,2,3,4,5,6); A=(1,2,3,4); B= (3,4,5) c = (6). Solve P (A U C)
Finding the union of the sets A and C is the first step in solving P(A U C). Since set C only contains the number 6, the union of A and C has the elements 1, 2, 3, 4, and 6. A U C thus equals 1, 2, 3, 4, and 6.
The power set of A U C, which comprises all conceivable subsets of 1, 2, 3, 4, and 6, must then be located. If all conceivable subsets are listed, the power set of A U C, designated as P(A U C), will be discovered.
P(A U C) = { {}, {1}, {2}, {3}, {4}, {6}, {1,2}, {1,3}, {1,4}, {1,6}, {2,3}, {2,4}, {2,6}, {3,4}, {3,6}, {4,6}, {1,2,3}, {1,2,4}, {1,2,6}, {1,3,4}, {1,3,6}, {1,4,6}, {2,3,4}, {2,3,6}, {2,4,6}, {3,4,6}, {1,2,3,4}, {1,2,3,6}, {1,2,4,6}, {1,3,4,6}, {2,3,4,6}, {1,2,3,4,6}}.
There are 31 subsets in the power set P(A U C) that result from the union of sets A and C.
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find the average value of the function on the given interval. (round your answer to two decimal places.)
f(x) = {x+2; [1,4]
a. 2.64
b. 2.11
c. 3.17
d. 1.58
The average value of the function f(x) = {x+2; [1,4]} is 3.17(rounded to two decimal places).
To calculate the average value of the function f(x) = {x+2; [1,4]}, we have to use the formula given below;Average value of function f(x) on interval [a,b] = (1/(b-a)) ∫f(x) dx where a = 1 and b = 4∫f(x) dx = ∫(x+2) dx = [(x²)/2 + 2x] [4,1]∫f(x) dx = [(4²)/2 + 2(4)] - [(1²)/2 + 2(1)]∫f(x) dx = 18
Average value of function f(x) on interval [1,4] = (1/(4-1)) (18) = 6
Average value of function f(x) on interval [1,4] = 6/2 = 3.17
Therefore, the average value of the function f(x) = {x+2; [1,4]} is 3.17 (rounded to two decimal places).
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c.) In a class of 28 sophomores and juniors, 16 are
juniors. What percent of the class are sophomores?
The percent of the sophomores in the class of 28 sophomores and juniors is 42.86%.
According to the question,
We have the following information:
Total number in a class including sophomores and juniors = 28
Number of juniors in the class = 16
Now, we have the number of sophomores in this class:
Total number in the class- Number of juniors in the class
28-16
12
Now, we can easily find the percent of sophomores in the class by following the given steps:
Number of sophomores*100/Number of sophomores and juniors
1200/28
42.86%
Hence, the percent of the sophomores in the class of 28 sophomores and juniors is 42.86%.
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2x + 5y = 8
x - 2y = -5
Simultaneously pleasee
Answer:
(- 1, 2 )
Step-by-step explanation:
2x + 5y = 8 → (1)
x - 2y = - 5 → (2)
multiplying (2) by - 2 and adding to (1) will eliminate x
- 2x + 4y = 10 → (3)
add (1) and (3) term by term to eliminate x
0 + 9y = 18
9y = 18 ( divide both sides by 9 )
y = 2
substitute y = 2 into either of the 2 equations and solve for x
substituting into (1)
2x + 5(2) = 8
2x + 10 = 8 ( subtract 10 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
solution is (- 1, 2 )
Answer:
3
Step-by-step explanation:
i need step by step and graphed please
The roots of the quadratic equation is x²+4x +7 =0
What is a quadratic equation?recall that a quadratic equation is a second-degree algebraic expression of the form ax² + bx + c = 0, where a, b, and c are real numbers and a The term "quadratic" comes from the Latin word "quadratus" meaning square, which refers to the fact that the variable x is squared in the equation
The given quadratic equation is
y=(x+2)² +3
y=(x+2)(x+2)+3
y=x²+2x+2x+4+3
y=x² + 4x+7
x²+4x +7 =0
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_____ is another way of referring to a non-equity mode of entry with an alliance partner. [ choose ] _____ is another way of referring to an equity mode of entry including, but not limited to, an acquisition. [ choose ] a _____ grants the right or permission to use the property, including intellectual property, of another. [ choose ] _____ is an agreement between at least two parties to join their efforts in attempt to sell a product or service. [ choose ] the two main types of these are sponsored and collaborative.
Distribution agreements involve both parties mutually contributing to the distribution efforts.
A joint venture is another way of referring to a non-equity mode of entry with an alliance partner. An acquisition is another way of referring to an equity mode of entry, including, but not limited to, an acquisition. A license grants the right or permission to use the property, including intellectual property, of another. A distribution agreement is an agreement between at least two parties to join their efforts in an attempt to sell a product or service. The two main types of distribution agreements are sponsored and collaborative. In a sponsored distribution agreement, one party sponsors the other party's product or service, while in a collaborative distribution agreement, both parties work together to sell the product or service.
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PLEASE HELP!!! I WILL MARK BRAINLY AND ITS WORTH 15 POINTS!!!
its 10 points
c and d cause each Px = 4 for c and 10 for d.
The EPV of a life annuity due (one payment per year) for someone aged x is ax =12.32. The survival probability is px =0.986, and the rate of interest effective per year is 4%. What is ax+1?
The EPV of a life annuity due for someone aged x+1 ≈ 0.1797.
To calculate the EPV (Expected Present Value) of a life annuity due for someone aged x+1, we can use the formula:
ax+1 = ax * (1 - px) * (1 + i)
Where:
ax is the EPV of a life annuity due for someone aged x
px is the survival probability for someone aged x
i is the effective interest rate per year
We have:
ax = 12.32
px = 0.986
i = 4% = 0.04
Substituting the provided values into the formula, we have:
ax+1 = 12.32 * (1 - 0.986) * (1 + 0.04)
ax+1 = 12.32 * (0.014) * (1.04)
ax+1 = 0.172 * 1.04
ax+1 ≈ 0.1797
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solve using quadratic equation
Answer:
±5 is your answer
Step-by-step explanation:
x²-25=0
comparing above equation with ax²+bx+c
we get
a=1
b=0
c=-25
by using quadratic equation
x=(-b±√(b²-4ac))/2a=(-0±√(0²-4×1×-25))/2×1
=±{√(100)}/2=±(√10²)/2=±10/2=±5
Answer:
5, - 5
Step-by-step explanation:
x^2 = 25
x = ± √25
= ± 5
x = 5, - 5
336,765=3,14×0.55×(l+0.55) please help
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
Triangle QRS has coordinates Q(–12,10), R(–8,8), S(–1,9). Give the coordinates of each vertex of the image after triangle QRS is dilated by a scale factor of 2.
Q’( , ) R’( , ) S’( , ).
Answer:
Q' = (-24, 20), R' = (-16, 16), and S' = (-2, 18).
Step-by-step explanation:
Recall that if a figure is dilated by a scale factor k (about the origin), then its coordinates become:
\((x, y) \rightarrow (kx, ky)\)
In other words, we simply multiply each coordinate by the scale factor.
Triangle QRS with coordinates Q(-12, 10), R(-8, 8), and S(-1, 9) is dilated by a scale factor of two.
And we want to determine the coordinates of Triangle Q'R'S'.
Multiply each coordinate by the scale factor (two). Hence:
Q' = (-24, 20),
R' = (-16, 16), and
S' = (-2, 18).
Note: This method is only true when the figure is dilated about the origin.
Which function is graphed?
Select the correct numbers on the number line. Which points on the number line are 8 units away from 0?
Answer:
8 and -8
Step-by-step explanation:
0-8= -8
0+8= 8
Both 8 jumps from 0
what is the degree sequence of the bipartite graph km,n where m and n are positive integers? explain your answer.
The degree sequence of a graph is the list of degrees of its vertices arranged in non-increasing order.
For a bipartite graph $K_{m,n}$ with $m$ vertices in the first partite set and $n$ vertices in the second partite set, every vertex in the first partite set is connected to all vertices in the second partite set and vice versa. Therefore, the degree of each vertex in the first partite set is $n$ and the degree of each vertex in the second partite set is $m$.
So, the degree sequence of the bipartite graph $K_{m,n}$ is $n,n,\ldots,n$ (repeated $m$ times) followed by $m,m,\ldots,m$ (repeated $n$ times). In other words, the degree sequence consists of two blocks, each of length $m+n$, where the first block contains the degree $n$ repeated $m$ times and the second block contains the degree $m$ repeated $n$ times.
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Complete the point-slope equation of the line through (-1, 6) and (1,5).
Use exact numbers.
y - 6=
Answer:
-1/2 (x + 1)
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 6 / 1 - (-1)
-1/2
y - 6 = -1/2 (x + 1)
Please hurry I will mark you brainliest
What is the equation of the line through the point (2, 3) with slope -2?
Answer:
y = -2x+7
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2x+b
Using the point
3 = -2(2)+b
3 = -4+b
3+4 = b
7=b
y = -2x+7
He science club has 4 members. The club bought b bumper stickers to split among its members. Write an expression that shows how many bumper stickers each member will get
Answer:
b / 4
Step-by-step explanation:
If you are splitting b bumper stickers between 4 members, you must divide the number of bumper stickers by the number of members, which is 4! Dividing is just like if you were to divvy something up between people, but it is a mathematical term! This will give you b / 4.
PLZZZ help asap will give the brain and 70 points!!!!! For 2x^2+5=-x, choose the correct substitution for a, b, and c in the standard form of ax^2+bx+c=0. A. a=2,b=1,c=5 B. a=2,b=1,c=-5 C. a=2,b=-1,c=5 D. a=2,b=5,c=-1
Answer:
A. a=2, b=1, c=5
Step-by-step explanation:
Given:
2x^2+5=-x
Rearrange to have the format
ax^2+bx+c=0
2x^2+5=-x
Add x to both sides
2x^2 + 5 + x = - x + x
2x^2 + 5 + x = 0
2x^2 + x + 5 = 0
ax^2 + bx + c = 0
Where
a= coefficient of x ^2
b = coefficient of x
c= constant
Therefore,
a= 2
b = 1
c= 5
A. a=2,b=1,c=5 is the correct answer
Answer:
\(\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}\)
\(\rule[225]{225}{2}\)
Step-by-step explanation:
2x² + 5 = -x
The quadratic equation is in the form :
ax² + bx + c = 0
Rewriting the equation by adding x to both sides :
2x² + 1x + 5 = 0
The value of a is 2.
The value of b is 1.
The value of c is 5.
\(\rule[225]{225}{2}\)