Answer:
m-a = n
Step-by-step explanation:
a=m-n
Subtract m from each side
a-m = m-n-m
a-m = -n
Multiply each side by -1
-a+m = n
m-a = n
Out of 350 applicants for a job, 158 are female and 66 are female and have a graduate degree. Step 2 of 2 : If 110 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree
Answer:
33/55
Step-by-step explanation:
Total applicants, n(T) = 350
Female applicants, n(F) = 158
Female and Graduate applicants, n(FnG) = 66
Graduates, n(G) = 110
Probability of female Given that applicant has graduate degree; this is a conditional probability problem;
Recall :
P(A given B) = P(A|B) = P(AnB) / P(B)
Therefore ;
P(F|G) = P(FnG) / P(G) = 66 / 110 = 33/55
$6300 is invested, part of it at 11% and part of it at 6%. For a certain year, the total yield is $533.00. How much was invested at each rate?
$___ was invested at 11%
Answer:
Invested at 11% : 3100
Invested at 6% : 3200
Step-by-step explanation:
let x= amount invested at 11%
let y= amount invested at 6%
we can write
Equation 1: x+y=6300
Equation2: .11x+.06y=533
Divide equation 2 by .06 to get
1.8333333x+y=8883.33333333
Subtract equation 2 from equation 1
.8333333x= 2583.33333333
x= 3100
Plug in x= 3100 into equation 1
3100+y= 6300
y= 3200
If the height of the tree trunk is 13 feet and the radius is 1.5 feet what is the volume in cubic feet round to the nearest 10th
Answer:
91.8 feet^3
Step-by-step explanation:
We can find out the area of a circle and then multiple that by the height to get the volume of the tree trunk (which is a cylinder).
Area of circle formula: pi x r^2
3.14 x 1.5^2 = 7.065
Now we can multiple it by the height and round to the nearest 10th.
7.065 x 13 = 91.845
91.845 -> 91.8
Hope this helps! Brainliest?
Answer:
Step-by-step explanation:
Givens
h = 13 feet
r = 1.5 feet
pi = 3.14
Equation
V = pi r^2 *h
V = 3.14 * 1.5^2 * 13
V = 91,8 cubic feet.
You used (formula in screenshot) when calculating variance and standard deviation. An alternative formula for the standard deviation that is sometimes convenient for hand calculations is shown below. You can find the sample variance by dividing the sum of squares by n-1, and the sample standard deviation by finding the square root of the sample variance. Complete parts (a) and (b) below.
Answer:
[tex]Varianve = 3.842[/tex]
[tex]SD = 1.960[/tex]
Step-by-step explanation:
Given
See attachment for data
First, calculate [tex]\sum x^2[/tex]
[tex]\sum x^2 = 18^2 + 17^2 +20^2 + 19^2 + 20^2 + 16^2 + 16^2 + 15^2 + 18^2+14^2 +19^2 + 19^2+18^2+17^2 + 16^2+20^2+16^2+18^2+14^2+20^2[/tex]
[tex]\sum x^2 = 6198[/tex]
Calculate [tex]\sum x[/tex]
[tex]\sum x = 18 + 17 +20 + 19 + 20 + 16 + 16 + 15 + 18+14 +19 + 19+18+17 + 16+20+16+18+14+20[/tex]
[tex]\sum x = 350[/tex]
So, we have:
[tex]SS_x = \sum x^2 -\frac{(\sum x)^2}{n}[/tex]
[tex]SS_x = 6198 -\frac{350^2}{20}[/tex]
[tex]SS_x = 6198 -\frac{122500}{20}[/tex]
[tex]SS_x = 6198 -6125[/tex]
[tex]SS_x = 73[/tex]
Solving (a): The variance
[tex]Varianve = \frac{SS_x}{n-1}[/tex]
[tex]Varianve = \frac{73}{20-1}[/tex]
[tex]Varianve = \frac{73}{19}[/tex]
[tex]Varianve = 3.842[/tex]
Solving (b): The standard deviation
[tex]SD = \sqrt{Variance}[/tex]
[tex]SD = \sqrt{3.842}[/tex]
[tex]SD = 1.960[/tex]
Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
Answer:
ASA
Step-by-step explanation:
The two small angles which are the base angles of the small triangle in the middle are marked as equal.
The two large angles of the two triangles are also marked as conguent.
The base of the small triangle in the middle is common to both the larger triangles by the reflexive property (a line is always equal to itself). The line is between two sets of congruent angles. Therefore the two large triangles are congruent by ASA
Explanation:
It might help to peel the triangles apart as I have done so below.
We have two pairs of congruent angles, as shown by the distinct angle markers. Between the congruent angles, we have a pair of congruent sides.
The side (S) is between the angles (A), which is why we use ASA.
Note: SAA is slightly different where the congruent sides are not between the congruent angles.
10) -2(n - 6) = 20
please help!
Answer:
n = 1
Step-by-step explanation:
Answer:
n = -4
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(n − 6) = 20
Step 1: Simplify both sides of the equation.
−2(n − 6) = 20
(−2)(n) + (−2)(−6) = 20(Distribute)
−2n + 12 = 20
Step 2: Subtract 12 from both sides.
−2n + 12 − 12 = 20 − 12
−2n = 8
Step 3: Divide both sides by -2.
[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]
n = -4
Hope this helps, please mark brainliest if possible. Have a great day.
in a system of equations why is the intersection the solution
9514 1404 393
Answer:
It satisfies both equations.
Step-by-step explanation:
The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).
In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.
For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.
pls help for both 12 and 13!!
Answer:
The answer to 12 is 40 cubic units
Step-by-step explanation:
Mathema
8. Leg XY of the right triangle shown in the
diagram below is twice as long as
leg YZ.
Z
Y
х
If the area of the triangle is 36 cm?, what
is the length, in cm, of leg XY?
(1)
6
(2)
9
(3)
12
(4)
18
(5)
24
9514 1404 393
Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
im in need of help for this problem (listing BRAINLIST and giving points) :)
I hope this is help full to you
At the playground, the new sandbox was 10 meters wide and had an area of 60 square meters. How long is the sandbox?
Answer:
6 meters
Step-by-step explanation:
Area is length times width. If the width is 10 and the area is 60, then you would find 10 times ??? equals 60. Or 60 divided by 10. which is 6
Which of the following is an example of quantitative data?
A person's Zip Code
The color of your car
A Person's Height
A person's city of residence
Answer:
a person's height
Step-by-step explanation:
thing that you can count
Answer:
a person's height helpful answer
Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $690, how many of each denomination does he have?
How many $10 coins does he have?
How many $20 coins does he have?
Is the triangle a right angle? Pythagorean Theorem.
Answer:
yes it is
Step-by-step explanation:
hopefully that helps
195ft i think because 10 x 19.5
because 39 divided by 2 is 19.5
so then 19.5 x 10 = 195ft
A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces
of vinegar using the same ratio of oil to vinegar
How much oil should kin use?Complete the Table
Answer:
36 ounces.
Step-by-step explanation:
The ratio being 24:8 can be simplified to 3:1
Multiply the one (the vinegar) by a factor of 12
What happens to one side has to happen to the other
12(3:1)
36 ounces.
Answer:36
Step-by-step explanation:
Please help!
Suppose that a population parameter is 0.1 and many samples are taken from the population. If the size of each sample is 90, what is the standard error of the distribution of sample proportions? O A. 0.032 . B. 0.072 O C. 0.095 O D. 0.055 SUBMIT
Answer:
[tex]\text{A. 0.032}[/tex]
Step-by-step explanation:
Let [tex]\sigma_p[/tex] be the standard error of the distribution of sample proportions.
Formula:
[tex]\sigma_p=\sqrt{\frac{P(1-P)}{n}}[/tex], where [tex]P[/tex] is the population parameter and [tex]n[/tex] is sample size.
What we're given:
[tex]P[/tex] of 0.1[tex]n[/tex] of 90Substituting given values, we get:
[tex]\sigma_p=\sqrt{\frac{0.1(1-0.1}{90}},\\\sigma_p=\sqrt{\frac{0.1\cdot 0.9}{90}},\\\sigma_p=\sqrt{0.001}\approx\boxed{\text{A. 0.032}}[/tex]
Reeba is baking cookies for the bake sale. She bakes 3 ¾ dozen chocolate chip cookies to sell . If Reeba sells ⅔ of the cookies, how many cookies did she sell?
Answer:
30 cookies
Step-by-step explanation:
Reeba sells [tex]\frac{2}{3}[/tex] of [tex]3\frac{3}{4}[/tex] of 12 chocolate chip cookies.
Let us start by finding [tex]3\frac{3}{4}[/tex] of 12. We simply have to multiply the two numbers. However, it would be much easier if we had an improper fraction than a mixed number. Let us make [tex]3\frac{3}{4}[/tex] an improper fraction first.
[tex]3\frac{3}{4} =\frac{15}{4}[/tex]
Ok! Let's multiply.
[tex]\frac{15}{4} *\frac{12}{1} =\\15*3\\=45[/tex]
Ok, Reeba baked 45 cookies in total. We know that she sells [tex]\frac{2}{3}[/tex] of her baked cookies, so we can again multiply the two numbers.
[tex]\frac{2}{3} *\frac{45}{1} =\\2*15=\\30[/tex]
Therefore, Reeba sold 30 cookies.
I hope this helps! Let me know if you have any questions :)
Write the point-slope form of the equation for a line that passes through (-1, 4) with a slope of 2.
The value of xt is
The value of yn is
The point-slope form of the equation is
Answer:
67 f
Step-by-step explanation:
The demand function of a product is q = 7,000 - 50p, where p is the price.
The cost function is given by C = 2,000 + 259. At what price is the break-even
Production attend?
Answer: 139.65 or 25.34.
Step-by-step explanation:
The revenue function will be:
= Price × Quantity
= P × (7,000 - 50p)
= 7000p - 50p²
The coat function is given as:
C = 2,000 + 25q
C = 2000 + 25(7000 - 50p)
C = 2000 + 175000 - 1250p
C = 177000 - 1250p
Then, we'll equate the revenue function to the cost function. This will be:
7000p - 50p² = 177000 - 1250p
-50p² + 7000p + 1250p - 177000 = 0
-50p² + 8250p - 177000 = 0
Divide through by -50
p² - 165 + 3540 = 0
Solving to get the value of P will then give us 139.65 or 25.34.
An animal shelter has enough pens for x small dogs and y large dogs, and can hold up to 36 dogs at a time. It costs the shelter $12 a week to keep a large dog and $7 a week to keep a small dog. The shelter must keep its weekly costs under $350. Which system of inequalities can be used to represent this situation?
Answer:
7x+12y<350
Step-by-step explanation:
7 times each small dog (x) plus 12 times each large dog (y) needs to be less than (<) 350
PLSSSS HELP ASAP !!! PLSSS WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
See below.
Step-by-step explanation:
Angle 7 and Angle 4Angle 1 and Angle 5Answer:4000000
Step-by-step explanation:783
please help! (listing BRAINLIST and giving points)
At Bill’s Burger Barn, every time you buy a burger there is a one in eight chance of winning a free burger. Nicholas bought a hamburger every day for five days. What is the probability that Nicholas wins 1 free hamburger this week?
Answer:
im not sure about this one but my answer is 0.025.
Step-by-step explanation:
if there is a 1 out of 8 chance of getting a free burger, convert that into 1/8. divide that by 5 and you get 0.025.
Help ASAP 100 PTS!!!!
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer. Please show all work and explain it thourougly.
Answer:
39
Step-by-step explanation:
Find the value of f(x) at both points
f(3) = 3(3)³ + 1 = 82
f(1) = 3(1)³ + 1 = 4
---------------------------
Average Rate of Change is just like slope
Divide the change in f(x) by the change in x
r = (82 - 4) / (3 - 1)
r = 78/2
r = 39
A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Match the vocabulary word with its corresponding example.
-
The average recovery time for all heart attack patients that the cardiologist has or will treat
-
All heart attack patients that the cardiologist has cared for or will care for in the future
-
The average recovery time for the 32 heart attack patients
-
The 32 heart attack patients who were observed by the cardiologist
-
The list of all 32 heart attack patients' recovery times
-
The recovery time for a heart attack patient
Answer: See explanation
Step-by-step explanation:
1. The average recovery time for all heart attack patients that the cardiologist has or will treat. = Parameter
2. All heart attack patients that the cardiologist has cared for or will care for in the future = Population.
3. The average recovery time for the 32 heart attack patients = Statistics
4. The 32 heart attack patients who were observed by the cardiologist = Sample
5. The list of all 32 heart attack patients' recovery times = Data
6. The recovery time for a heart attack patient. = Variable
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
To buy a car, you borrow $28,000 with a term of five years at an APR of 5%. What is your monthly payment? (Round your answer to the nearest cent.)
$
How much total interest is paid? (Round your answer to the nearest cent.)
$
9514 1404 393
Answer:
monthly payment: $528.39interest paid: $3,703.40Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where the annual interest rate is r for t years on loan value P.
Filling in the given information, we find the monthly payment to be ...
A = $28000(0.05/12)/(1 -(1 +0.05/12)^(-12·5)) ≈ $528.39
The monthly payment is $528.39.
__
The total amount repaid is ...
($528.39/mo)(60 mo) = $31,703.40
The interest paid is the difference between this and the loan amount:
interest paid = $31,703.40 -28,000 = $3,703.40
The total interest paid is $3,703.40.
find the volume of the rectangular prism with the length 9 cm, width 6 cm, and height 8cm
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided - Length , width & height of the rectangular prism are 9 cm , 6 cm & 8 cm respectively & we're asked to find out the volume of the rectangular prism. Remember : The formula to find the volume of the rectangular prism is l × w × h where l is length , w is width & h is height of the rectangular prism.[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]
[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
The yearbook staff receive 75 submissions for yearbook articles. Paul will acceptſ of all submissions. Currently, Paul plans for the yearbook to have 156
pages.
How many more pages will Paul need to add to the yearbook to have 2 articles on every 13 pages? Show your work and explain your thinking.
Answer:
The correct answer is - 332 pages.
Step-by-step explanation:
Given:
number of articles submissions - 75
number of pages in the yearbook on current plan = 156
pages required for two articles = 13 pages.
The number of pages to add = ?
Solution:
1 article takes pages in the yearbook = 13/2
= 6.5
the number of pages required for 75 articles = 75*6.5
= 487.5
The number of pages to add in the yearbook = 487.5 - 156
= 331.5 or 332.
Thus, the correct answer is - 332 pages.
- ⅘ x = 8.....................
im actually in middle school btw dunno why it says college
Answer:
-10
Step-by-step explanation:
See image below:)
Answer:
x = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-4/5x = 8
Step 2: Solve for x
[Division Property of Equality] Divide -4/5 on both sides: x = 8 / -4/5Divide: x = -10In how many ways can the letters in the word 'Oklahoma' be arranged?
Answer:
720
Hope that this helps!
