a. The cost for a 100-mile radius for 3 weeks is $585, and there are 98 resumes within this radius, so the average cost per resume would be:
$585 / 98 = $5.96 per resume
b. The cost for a 150-mile radius for 3 weeks is $675, and there are 208 resumes within this radius, so the average cost per resume would be:
$675 / 208 = $3.25 per resume
c. If an employer opts for the 150-mile radius option instead of the 100-mile radius option, they would pay an extra $90 ($675 - $585) to see an additional 110 resumes (208 - 98).
The average cost to the employer for looking at each extra resume would be:
$90 / 110 = $0.82 per resume
d. An advantage of opting for the more expensive plan is that the employer would have access to a larger pool of potential candidates, which could increase the likelihood of finding a qualified applicant.
A disadvantage is that the employer would have to pay more money, which could be a significant expense for smaller businesses or those with limited budgets.
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Find the areas bounded by the curve y= 8-x^3 and the axis
The area bounded by the curve y = 8 − x³ and the x-axis is 15.5 square units.
The area bounded by the curve y = 8 − x³ and the x-axis is illustrated below. We need to determine the region's bounds and the integral to solve for the area.We need to determine the x-intercepts of the curve y = 8 − x³. Because the curve passes through the origin, it must have at least one x-intercept.
To find x, we set y = 0, 0 = 8 − x³, x³ = 8, x = 2.
The region is bounded by the curve y = 8 − x³, the x-axis, and the lines x = 0 and x = 2.
We have:∫₀² (8 - x³) dx
The area is calculated as follows:∫₀² (8 - x³) dx= [8x - (1/4) x⁴]₀²= (8(2) - (1/4)(2⁴)) - (8(0) - (1/4)(0⁴))= 15.5 square units
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Solve the Proportion.
10/a = 15/24
a=?
Answer:
a=16
Step-by-step explanation:
10/a=15/24, a≠0
10/a=5/8
80=5a
5a=80
a=16,a≠0
a=16
determine which equations have the same solution set as startfraction 2 over 3 endfraction minus x plus startfraction 1 over 6 endfraction equals 6 x. – x
The equation 2/3 - x + 1/6 = 6x - x has the same solution set as the equation x = 5/36.
To determine which equations have the same solution set as the given equation, let's simplify and rearrange the terms.
Starting with the given equation:
2/3 - x + 1/6 = 6x - x
We can simplify the left side by finding a common denominator for 2/3 and 1/6, which is 6:
(4/6) - x + (1/6) = 6x - x
Combining like terms on the left side gives us:
(5/6) - x = 6x - x
Further simplifying, we can combine the x terms on the right side:
(5/6) - x = 5x
To isolate the x term on one side, we can add x to both sides:
(5/6) = 6x
Next, we can divide both sides by 6 to solve for x:
5/36 = x
Therefore, the equation 2/3 - x + 1/6 = 6x - x has the same solution set as the equation x = 5/36. Any equation that simplifies and rearranges to x = 5/36 will also have the same solution set as the given equation.
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What is the perimeter of the triangle?
2(x+3)
6x
4(x – 10)
Answer:
Step-by-step explanation:
12x-34
Add all the sides together
2(x+3) + 6x + 4(x – 10)
distribute:
2x+6 + 6x + 4x-40
and add:
12x-34
There are three dials on a combination lock. Each dial can be set to one of the numbers 1, 2, 3, 4, 5, 6.
The three digit number 536 is one way the dials can be set as shown in the diagram.
a) Work out the number of different three digit numbers that can be set for the combination lock.
b) How many of the possible three digit numbers have three different digits?
Answer:
because it was not that much
Solve the following quadratic function
by utilizing the square root method.
y = 25x2 - 100
x = +[?]
Answer:
x = ±√(y/25 + 4)
Step-by-step explanation:
Given the expression;
y = 25x² - 100
We are to make x the subject of the formula;
-25x² = -y - 100
25x²= y + 100
x² = y/25 + 100/25
x²= y/25 + 4
x = ±√(y/25 + 4)
This give the value of x
Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function.
r(u,v)=ui+vj+v/2k
a) Identify the surface.
b) Sketch its graph.
To identify the surface, we first need to eliminate the parameters u and v from the vector-valued function r(u, v) = ui + vj + v/2k. This plane intersects the yz-plane along the line y = 2z, and extends infinitely in the x-direction.
r(u, v) = We can rewrite the components of the vector as follows:
x = u
y = v
z = v/2
Now, to eliminate the parameters, we can simply express v in terms of z:
v = 2z
Thus, the rectangular equation for the surface is given by:
x = u
y = 2z
b) To sketch the graph of the surface, we can plot the equation in the xyz-coordinate system. Since x = u and y = 2z, we see that the surface is a plane. The equation y = 2z describes the plane where x can take any value, and the y-coordinate is twice the z-coordinate at any point on the plane. This plane intersects the yz-plane along the line y = 2z, and extends infinitely in the x-direction.
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determine whether the statement is true or false. if f is continuous on [a, b], then b 5f(x) dx a = 5 b f(x) dx. a true false
The given statement is FALSE. Explanation:According to the given statement,f is continuous on [a, b], then b 5f(x) dx a = 5 b f(x) dx.This statement is not true. Therefore, it is false. The right statement is ∫a^b kf(x)dx= k ∫a^b f(x)dx, k is the constant and f(x) is the function, a, and b are the limits of integration.
The property of linearity of integrals states that:∫a^b [f(x) + g(x)]dx = ∫a^b f(x)dx + ∫a^b g(x)dxThis property is useful in the case where the integral of f(x) + g(x) is difficult to find but integrals of f(x) and g(x) are simpler to calculate.
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Which situation can not be represented by the equation x 10 45?
Step-by-step explanation:
So, the variable x can not represent adults and students because they tell us that 45 are clearly students.
Edna has a new St. Bernard puppy. He found a mud puddle on their last walk, so Edna needs to give him a bath. She buys a bottle of dog shampoo that costs $3.99. The bottle contains 28.5 ounces of shampoo. What is the cost per ounce of shampoo?
Answer: 7.142857142857143
Step-by-step explanation: all you have to do is divide 28.5 by 3.99
The cost per ounce of shampoo is 7.15 ounce.
Assume that the cost per ounce of shampoo is ${x}.
Total cost of bottle of a dog shampoo is $3.99.
Amount of shampoo in the bottle is 28.5 ounces.
So, we can write the cost per ounce of shampoo as
x = 28.5/3.99
x = 7.15 ounce
The cost per ounce of shampoo is 7.15 ounce.
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Estimate $10.01 + $7.07 using front-end estimation.
Answer:
17
Step-by-step explanation:
You would make the 10.01 a 10 and the 7.07 a 7.
Which of the following equations represents a proportional relationship? A. x=2.9 B. x+y=2.9 C. y=2.5/x D. y/x=2.5
The equation that represents a proportional relationship is y/X = 2.5. That is option D.
What is proportional relationship?A proportional relationship is the type of relationship that exist when between two variables which can be represented as y and x where a constant of proportionality exists between the two variables as k.
The relationship between these two variables can either be directly proportional or indirectly proportional.
The relationship that exists between X and y is a direct proportional relationship with a constant of proportionality of 2.5.
y = 2.5 X
= y/X = 2.5. Where 2.5 is the constant.
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Help please
1. What equation is in this figure?
y + 1 = -2/3(x - 3)
y - 3 = 3/2(x + 1)
y + 2 = -3/2(x - 2)
y - 4 = -2/3(x + 2)
Evaluate the function. f(x) = –x² - 3x Find f(10)
We have the function
\(f(x)=-x^2-3x\)then
\(\begin{gathered} f(10)=-(10)^2-3(10) \\ =-100-30 \\ =-130 \end{gathered}\)therefore f(10)=-130.
Suppose we are making a 95% confidence interval for the population mean from a sample of size 15. What number of degrees of freedom should we use?.
The number of degrees of freedom we should use is 14 for makin95% confidence interval.
Degrees of freedom of an estimate is the number of independent pieces of information that went into calculating the estimate. It’s not quite the same as the number of items in the sample. In order to get the df for the estimate, you have to subtract 1 from the number of items.
Degree of freedom of sample size of n : n -1
When we don't have any idea about population standard deviation,
and also, the sample size is less than 30 .
We use t-distribution to calculated the statistics.
According to the question,
We are making a 95% confidence interval
The sample is 15 (<30) . So , we have to adjust and use a t-value instead of a Z score in order to account for the smaller sample size and using the sample SD.
Note that the t-value depends on the degrees of freedom (df) as a reflection of sample size. When using the t-distribution to compute a confidence interval, df = n-1.
So , making 95% confidence interval for population mean from sample size 15 , we need degree of freedom of 14
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Write 6.45 as a mixed number in simplest form.
Answer:
6 9/20
Step-by-step explanation:
6.45=645/100 = 129/120
= 6 9/20
i am horrible in math. help a girl out . 20 points for giving me answers
i am horrible in math. help a girl out . 20 points for giving me answers
Represent "The product of 5 and a number z" mathematically.
Answer:
5z
Step-by-step explanation:
Answer:
5z
Step-by-step explanation:
'The product of 5 and a number' would be 5 * n.
Since the number in the question would be 'z', we will write it as '5 * z'.
However, the most ideal way to write this is '5z'. So, "The product of 5 and a number z" would be '5z'.
Hope this helps.
2. which conditions must hold for inferential procedures to be valid for this scenario? select all that apply. a. the expected count for each level of the categorical variable must be at least 5. b. the two sample groups must be independent of each other. c. the data distribution for both men's and women's hemoglobin levels must be normally distributed or each sample size must be larger than 30. d. the observations within each sample must be independent. e. there must be 10 successes and 10 failures in each sample.
The conditions that must hold for inferential procedures to be valid for this scenario are:
(b) the two sample groups must be independent of each other, (c) the data distribution for both men's and women's hemoglobin levels must be normally distributed or each sample size must be larger than 30, and (d) the observations within each sample must be independent.
(b) The two sample groups must be independent of each other because the samples should not be related in any way that could influence the results.
(c) The data distribution for both men's and women's hemoglobin levels must be normally distributed or each sample size must be larger than 30. If the data is not normally distributed, then the Central Limit Theorem can be applied if the sample size is greater than 30.
(d) The observations within each sample must be independent to avoid bias in the results. This means that each observation should not be influenced by any other observation.
(a) The expected count for each level of the categorical variable must be at least 5. This condition is relevant for Chi-square tests of independence, which are not being used in this scenario.
(e) There must be 10 successes and 10 failures in each sample. This condition is relevant for tests of proportions, which are not being used in this scenario.
So b,c and d are correct options.
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you perform an hypothesis test and the null hypothesis was not rejected at an alpha level of 0.05. you want to perform the same test using an alpha of 0.25. what will be your conclusion?
Answer:
The null hypothesis would not be rejected at an alpha level of 0.25.
Explanation:
When performing a hypothesis test, the alpha level (also known as the significance level) is the threshold for determining whether the null hypothesis should be rejected. If the p-value (the probability of observing the data given that the null hypothesis is true) is greater than the alpha level, then the null hypothesis is not rejected.
In your question, you stated that the null hypothesis was not rejected at an alpha level of 0.05, which means that the p-value was greater than 0.05. If you increase the alpha level to 0.25, this means that you are setting a higher threshold for rejecting the null hypothesis. Therefore, if the null hypothesis was not rejected at an alpha level of 0.05, it will also not be rejected at an alpha level of 0.25.
south carolina makes license plates with the configuration digit, letter, digit, letter, digit, digit. how many different license plates can south carolina produce?
South Carolina can produce 26x26x10x10x10 = 676,000 different license plates with the configuration digit, letter, digit, letter, digit, digit.
Permutations are arrangements of objects in a specific order. For example, if you have the letters A, B, and C, the possible permutations are ABC, ACB, BAC, BCA, CAB, and CBA. Permutations are often used to calculate the total number of possible combinations for a given set of objects, as each permutation is a unique combination. For example, if you have three letters and three digits, the total number of permutations is 26x10x10x26x26x10 = 17576000.
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A large university accepts 50% of the students who apply. Of the students the university accepts, 25% actually enroll. If 30000 students apply, how many actually enroll? Can you helpppppppp pleaseeeeeeeee
Answer:
3750 students
Step-by-step explanation:
50% of 30000 students are accepted.
so
50%*30000=(50/100)*30000=50*300=15000
25% of 15000 enroll
so
(25/100)*15000=25*150=3750
A pizza shop is having a special on meat and
cheese pizzas. A customer may choose one of 3
different crusts, one meat topping, and one
cheese topping. There are 7 different meat
toppings and 8 different cheese toppings
available.
Part A: How many different meat and cheese
pizzas can the shop make?
Answer:
168
Step-by-step explanation:
what is 50/277 decimal to the nearest hundredth?
Answer:
50/277 is also the same as 50 ÷ 277, so just divide those two numbers.
50 ÷ 277 = 0.181
Now we find out 0.181 to the nearest hundredth
To the nearest hundredth when rounding the answer will be 0.18
So your answer is 0.18
Hope I helped! :)
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)
what is the equation of the line that contains the point (2,3) and has a slope of - 3/2
equation of line
y=mx+b
If m=-3/2
we have
\(\begin{gathered} y=mx+b \\ y=-\frac{3}{2}\cdot x+b \end{gathered}\)From points (2,3), we find b
\(\begin{gathered} y=-\frac{3}{2}\cdot x+b \\ 3=-\frac{3}{2}\cdot2+b \\ 3=-3+b \\ b=6 \end{gathered}\)Therefore
\(y=-\frac{3}{2}\cdot x+6\)
Can you use the lengths of the hypotenuse and a leg to show right triangles are congruent?
In other words, the triangles are consistent if the hypotenuse and one of the legs of one right triangle agree with the hypotenuse and one of the legs of another right triangle.
What is meant by congruent triangles?Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them. Two triangles must have the same angles and, as a result, must be congruent if their sides are the same.
Two right triangles are supposed to be consistent on the off chance that they are of a similar shape and size. All in all, two right triangles are supposed to be consistent in the event that the proportion of the length of their comparing sides and their relating points is equivalent.
Right triangles are harmonious in the event that both the hypotenuse and one leg are a similar length. These triangles are harmonious by HL or hypotenuse leg.
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I will give Brainliest to the first person
Answer:
x^3
Step-by-step explanation:
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B.
please help
Answer:
Hi, hope this will help :-)
Coordinate of the endpoint B is equals to (1,-3) as per given midpoint and one endpoint.
What is midpoint?" Midpoint is defined as the point which divides the line segment into two equal parts."
Formula used
Endpoints with coordinates are
\(A(x_{1}, y_{1})\) and \(B(x_{2}, y_{2})\)
Midpoints coordinates are
\(M(x,y) = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})\)
According to the question,
Given coordinates of line segment AB,
Coordinates of endpoints \(A (-5,7)\)
Coordinates of midpoints \(M (-2,2)\)
Substitute the value in the formula of midpoint we get,
\(M(-2,2) = (\frac{-5+x_{2}}{2} , \frac{7+y_{2}}{2})\)
For \(x_{2}\) coordinate
\(-2 = \frac{-5+x_{2} }{2}\)
⇒ \(x_{2} = -4+5\)
⇒ \(x_{2} =1\)
For \(y_{2}\) coordinate
\(2 = \frac{7+x_{2} }{2}\)
⇒ \(y_{2} =4-7\)
⇒ \(x_{2} =-3\)
Hence, coordinate of the endpoint B is equals to (1,-3) as per given midpoint and one endpoint.
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Measure
Angle
48°
А
B
(6. - 28)
(2x)
С
Find the value of x. Then find the measures of angles B and C
Enter your answers in the boxes.
mZB=
O
mZC =
o
Answer:Measure
Angle
48°
А
B
(6. - 28)
(2x)
С
Find the value of x. Then find the measures of angles B and C
Enter your answers in the boxes.
mZB=
O
mZC =
o
Step-by-step explanation: