Answer:
$4,000
Step-by-step explanation:
$48,000 ÷ 12 months = 4,000
y = 3x +4
y = -2
A method by solving systems of equations by adding or subtracting to eliminate a variable
What is the equation of the line in slope-intercept form?
Answer:
y = -3x + 4
Step-by-step explanation:
y = mx + b
y = y coordinate
m = slope (rise/run, up/over, change in y/change in x)
x = x coordinate
b = y intercept (where the line crosses the y-axis.
1. Write the equation y = mx + b
2. Substitute the numbers in the proper place. y = 3/1 x + 4
3. Check for the type of slope- (positive or negative) y = -3x + 4
(Downhill slopes are always negative.)
You are the coach of a basketball team that is currently looking for new players. One of the criteria for selection as a player is that the person must be above a particular height. Ideally, you want your next player to be as tall as possible. However, you do not want to rule out any potential players by making the cut-off height too strict. You decide that accepting players within the top 2.5% height bracket will be reasonable for your team. Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in. Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team. you may find this standard normal table useful. Give your answer in inches to the nearest inch.
C= _____ in
Answer:
C = 75 in
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.
This means that [tex]\mu = 69, \sigma = 2.9[/tex]
Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.
This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 69}{2.9}[/tex]
[tex]X - 69 = 1.96*2.9[/tex]
[tex]X = 74.7[/tex]
Rounded to the nearest inch,
C = 75 in
Calculus BC Help - Series
6. Let f be the function defined by f(x)=1x2+9.
(a) Evaluate the improper integral ∫∞3f(x) dx, or show that the integral diverges.
(b) Determine whether the series ∑n=3∞f(n) converges or diverges. State the conditions of the test used for determining convergence or divergence.
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges.
Answer:
So you have a power of x^2, notice if you have a harmonic series, or if it looks familiar, which it should, hint (1/x) Now integrate: let u= x/3 dx=3dunow integral (1/u^2+1) recognize thats arcso you get a result of: arctan(x/3)/3+ca student earn $16 per day for delivering overnight packages. She is paid $7 per day plus .60 for each package delivered. How many more deliveries mush she must make each day to increase her earnings to $28?
9514 1404 393
Answer:
20 more deliveries
Step-by-step explanation:
The student wants to increase her earnings by $28 - 16 = $12 per day. Her earnings increase by $0.60 per package delivered, so she must deliver ...
$12/($0.60/pkg) = 20 pkgs
more each day.
what is -1 3/10 + (-3.8) show your work
Step-by-step explanation:
Sln
-13/10 +(-3.8)(remove bracket)
-13/10-3.8(then divide )
-1.3-3.8
-51
The given term -1 ³/₁₀ + (-3.8) can be simplified as -5.1.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
The given term is,
-1 ³/₁₀ + (-3.8)
First simplify fraction term,
-13/10 + (-3.8)
Solve bracket term,
-13/10 - 3.8
Use least common multiple approach to solve further,
= (-13-38)/10
= -51/10
= -5.1
The expression -1 ³/₁₀ + (-3.8) can be simplified as -5.1.
To know more about Simplification on :
https://brainly.com/question/2804192
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XYZ Corporation recorded the number of employee absences each week over a period of 10 weeks. The result is the data list 5, 3, 4, 1, 4, 7, 2, 6, 3, 5. Find the standard deviation of the number of absences each week.
Answer:
4 ansences
Step-by-step explanation:
40 / 4 is 10 so ans is 10 absences
8x - 142 = 111 - 3x
Answer:
23
ch ch ch f good first off
z + y2
for y = 6 and z = 1
Answer:
37
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
z + y²
y = 6
z = 1
Step 2: Evaluate
Substitute in variables: 1 + 6²Evaluate exponents: 1 + 36Add: 37Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
B = 243°
Step-by-step explanation:
Full revolution = 360°
360 - 117 = 243
Answer:
243 degrees
Step-by-step explanation:
The angle of a full circle = 360 degrees
360 - 117 = 243
Explain your answer !!
Have a nice day
Will give braisnlt
Answer:
x = 4 and y = 1
Step-by-step explanation:
The given equations are :
2x+5y = 13 ...(1)
3x-2y = 10 ...(2)
We can use elimination method to solve the given equations.
Multiply equation (1) by 3 and equation (2) by 2.
6x+15y=39 ...(3)
6x-4y=20 ...(4)
Subtract equation (3) from (4).
6x-4y-(6x+15y) = 20-39
6x-4y-6x-15y = -19
-19y=-19
y = 1
Put the value of y in equation (1).
2x+5y = 13
2x+5=13
2x=8
x = 4
So, the solution of the given equations are x = 4 and y = 1.
if mary smith and karen white have identical sat scores and quality of letter, but mary smiths high school gpa is 1.5 point higher than karen, how much higher will marys college gpa be than karens
Required table is attached below :
Answer:
0.56
Step-by-step explanation:
Since they both have :
SAT score is the same ; quality of letter is the same ;
High school GPA is 1.5 points higher ;
Therefore, to determine how much Mary's GPA will be higher than Karen's :
Multiply the number of points by the Coefficient of high school GPA Given in the regression table attached below :
High school GPA Coefficient = 0.37635
Number of points = 1.5
= 1.5 * 0.37635
= 0.564525
= 0.56
Construct 98% confidence intervals based on the following data: 49, 38, 67, 69, 58, 70, 66, 85.
Answer:
May I have a little more context please?
Step-by-step explanation:
Sam traveled 56 miles in 8 hours. If he traveled at the same rate on the next day,how far can he go the next day,how far could he go in 14 hours.
Answer:
Step-by-step explanation:
56 miles/(8 hours) = 7 miles/hour
14 hours × 7 miles/hour = 98 miles
Question 1
5 pts
(07.01 LC)
What is the value of x in the equation -6 + x = -2? (5 points)
8
-4
-8
4
Answer:
4
Step-by-step explanation:
Tara wants to draw rectangles that each have an area of 24 square inches. The length and width of each rectangle are whole numbers of inches.
Answer:
it could be the width is 8 and the length is 3
Step-by-step explanation:
3 x 8= 24 hope this helps
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
A. obtuse
Step-by-step explanation:
This is because in an obtuse angled triangle one of its angle is greater than 90° and here angle RQS = 112° which is greater than 90°, so it's a obtuse triangle.
Answer:
A. obtuse triangle
Step-by-step explanation:
the degree of RQS is greater than 90º
Question is the answer someone please help me!!!!
Answer:
Min = 3
Max = 11
First Quartile = 6
Median = 7
Third Quartile = 9
Step-by-step explanation:
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Answer:
Your welcome
Step-by-step explanation:
Match each percent with the fraction or decimal equivalent
Which of the following is true concerning the expression 6x + 3 + x? 6x and 3 are like terms. B 6x and x are like terms. C The simplified form of the expression is 6x + 3. D The simplified form of the expression is 10x.
Answer:
Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.
Step-by-step explanation:
Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.
Answer:
9 is the answer because it is the answerr
If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.
Part A
Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]
-----------------------------------------------
Explanation:
Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3
Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3
Apply the pythagorean theorem to find hypotenuse AD
[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]
This points to choice D as the final answer.
===========================================================
Part B
Answer: 7.07-----------------------------------------------
Explanation:
If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.
Since AE = 2n+5, we can solve for n like so
2n+5 = 7
2n = 7-5
2n = 2
n = 2/2
n = 1
Then we can find the length of AD
[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]
Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.
there should be 200g of nuts for every 50g of nuts what will be the amount of fruits if there are 500g of nuts
Answer:
125
Step-by-step explanation:
Help
Don’t use for points or will be reported and take the points back
Answer:
A
Step-by-step explanation:
bc thats the one that makes more sense to me
Answer:
A
Step-by-step explanation:
It’s a, because equiangular triangle means having an equal angles
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 84.584.5; this version has a mean of 66.966.9 and a standard deviation of 1111. Kiersten got a score of 281.8281.8; this version has a mean of 261261 and a standard deviation of 2626. Pierce got a score of 7.697.69; this version has a mean of 7.27.2 and a standard deviation of 0.70.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Tobias should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
The applicant with the highest z-score should be chosen.
Tobias:
Score of 84.5, in a version with mean 66.9 and standard deviation 11. His z-score is found when [tex]X = 84.5, \mu = 66.9, \sigma = 11[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{84.5 - 66.9}{11}[/tex]
[tex]Z = 1.6[/tex]
Kiersten:
Score of 281.8, in a version with mean 261 and standard deviation 26. His z-score is found when [tex]X = 281.8, \mu = 261, \sigma = 26[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{281.8 - 261}{26}[/tex]
[tex]Z = 0.8[/tex]
Pierce:
Score of 7.69, version with mean 7.2 and standard deviation 0.7. His z-score is found when [tex]X = 7.69, \mu = 7.2, \sigma = 0.7[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.69 - 7.2}{0.7}[/tex]
[tex]Z = 0.7[/tex]
Due to the higher z-score, Tobias should be offered the job.
Aliyah is a textbook salesperson. Last week she made $1,200 in commission. If she sold $8,000 worth of text books, what percent is her commission?
Answer:
1200/8000=0.15 so 15%
Step-by-step explanation:
........
A summer picnic is being planned and 96 employees are invited to vote for one of the
following themes: Sun, Surf, or Sand. Seventy-five percent of the employees
participate in the voting.
If there are 19 votes for Sun and 27 votes for Surf, how many employees voted for
Sand?
24
26
Ο Ο Ο Ο Ο
38
42
50
- Kirk is reading a book and found that after 5 days he had read 180 pages.
rate is Kirk reading the book in (b) If the book is 765 pages long, how many
days will it take him to read the book at
the rate you found in (a)?
Answer:
21.25 days
Step-by-step explanation:
We first need to find the rate that he read the book for the first 5 days:
180 (pages)/5 (days)= 36
So he reads 36 pages a day. Now we need to find how many days it will take him to read the whole book, while reading 36 pages a day.
765 (total pages)/36 (pages he reads in a day) = 21.25
Have a wonderful day, my friend.
plz help will give brainliest
The number of cans the soup kitchen has is represented by the equation, y = -63x + 825, where x represents the number of days and y represents the number of cans. How many cans will the soup kitchen have left after 10 days?
Answer:
195 cans
Step-by-step explanation:
Start by multiplying -63 by 10, since 10 should be in place of x. You will get -630. Add 825 to -630 and you will get 195.
PLEASE HELP WILL GIVE BRAINLIEST AND MAX POINTS!!!
(-8) x [tex]\frac{2}{3}[/tex] =
(-8) x (- [tex]\frac{2}{3}[/tex])
-[tex]\frac{18}{3}[/tex] =
[tex]\frac{18}{-3}[/tex] =
[tex]\frac{-18}{-3}[/tex] =
[tex](-8)*\frac{2}{3} = -\frac{16}{3}[/tex]
[tex](-8)*(-\frac{2}{3} ) = \frac{16}{3}[/tex]
[tex]-\frac{18}{3} = -6[/tex]
[tex]\frac{-18}{-3} = 6[/tex]
100 POINTS PLZ HELP ME
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a ratio in simplified form by filling in the boxes.
$$
A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 1 over 4 end fraction comma 3 over 8 end fraction right parenthesis.
Answer:
I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate
Step-by-step explanation:
if you add a graph, ill edit my answer
hope this helps!