Answer:
u = -225
Step-by-step explanation:
36 - u = 261
-u = 261 - 36
-u = 225
u = -225
Find the slope of the line that passes through (1, 14) and (4,10),
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer: the slope is -4/3
Step-by-step explanation:
answer asap please!!
Answer:
61.6 units
Step-by-step explanation:
C (-8,-10)
D (8,10)
E (-8,10)
find the distance between the following points
CD = 25.6
DE = 16
EC = 20
Add them all up
61.6 units
A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 3 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 3 workers has the same chance of being selected as does any other group (drawing 3 slips without replacement from among 24).
Required:
a. How many selections result in all 5 workers coming from the day shift?
b. What is the probability that all 5 selected workers will be from the day shift?
c. What is the probability that all 5 selected workers will be from the same shift?
d. What is the probability that at least two different shifts will be represented among the selected workers?
e. What is the probability that at least one of the shifts will be unrepresented in the sample of workers?
Answer:
252 ; 0.00593 ; 0.0074 ; 0.9926 ; 0.347
Step-by-step explanation:
A.)
n = 10 ; r = 5
Required outcome :
nCr = n! ÷ (n-r)!r!
10C5 = 10! ÷ (10-5)!5!
(10*9*8*7*6) / (5*4*3*2*1)
= 252
B.)
Total possible outcome : 24C5 = 42504
P(all will be from day shift) = 252 / (24C5) = 0.00593
C.)
P(all will be from the same shift) :
[(10C5)+(8C5)+(6C5)] ÷ 24C5
(252 + 56 + 6) / 42504 = 0.0074
D.)
Probability that at least 2 different shift will be represented :
1 - P(all will be from the same shift)
1 - 0.0074 = 0.9926
D.)
Probability that atleast one of the shift will be unrepresented :
(10+6C5) + (8+6C5) + (10+8C5) - (10C5)+(8C5)+(6C5)
[16C5 + 14C5 + 18C5 - 10C5 + 8C5 + 6C5] ÷ 24C5
(4368 + 2002 + 8568 - 252 + 56 + 6) / 42504
= 14748 / 42504
= 0.347
Ally bought 5 different cakes for her birthday. His friends ate 3 1/4 of the amount of cake. Then he gave 1/2 of the cake to his grandmother. How much cake does Ally have left?
Answer:
7/8 of a cake
Step-by-step explanation:
4 4/4 - 3 1/4 = 1 3/4
7/4 x 1/2 = 7/8
Help needed with this
Answer:
Choice 3 is not a function.
For a set of coordinates to be a function, there must be exactly one y-value for every x-value.
For choice 3, we see that the x-coordinate of "1" has two y-values, 3, and 7.
This means, that choice 3 is NOT a function.
Let me know if this helps!
What is the 8th term of the sequence 12, 17, 22, 27, 32,…?
A. 47
B. 42
C. 52
D. None of these choices are correct.
Answer:
A. 47
Step-by-step explanation:
Hope it helps! If you want an explanation, ask in the comments and I'll give you one!
which integer is 3 less than 7
Answer:
b
Step-by-step explanation:
Why is it reasonable to use the same units to describe circles and measure of angles?
Answer:
The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°.
Explanation:
The unit circle, or trig circle as it's also known, is useful to know because it lets us easily calculate the cosine, sine, and tangent of any angle between 0° and 360° (or 0 and 2π radians)
20 PTSS !!!
PLEASE HELPP !!
Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).
So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.
Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.
The area is 150 square units
(b)
In how many months will Rs 4800 amount to Rs 5760 at 2 paisa per rupee per
month?
Answer:
This amount will be reached in 1 year and 2 months, that is, in 14 months.
Step-by-step explanation:
Given that 1 paisa is 1 cent of a rupee, at an increase of 2 paisa per rupee per month we are talking about an interest of 2% per month, which annualized is equal to 24% per year (12 x 2).
Thus, given that the initial amount is Rs $ 4800, to determine the period of time in which said interest will take the amount to Rs $ 5760 it is necessary to perform the following calculation:
4800 x 1.02 x X = 5760
4896 x X = 5760
X = 5760/4896
X = 1.17
Thus, this amount will be reached in 1.17 years, with which to calculate the number of months the following calculation must be performed:
1 = 12
0.17 = X
0.17 x 12 = X
2 = X
Thus, this amount will be reached in 1 year and 2 months, that is, in 14 months.
Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $184, $35, $92, $142, $175, $9, and $57. Let yi denote the amount spent on groceries by a single customer in a single visit. Find the following (give the answers without commas):
a. ∑y
b. (∑y)^2
c. ∑y^2
Answer:
a) 910
b) 828100
c) 144320
Step-by-step explanation:
a. ∑y
This is the sum of all values of y. So
[tex]\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910[/tex]
b. (∑y)^2
This is the square of the sum, so the square of 910, that we found in the previous item.
910² = 828100
c. ∑y^2
This is the sum of the squares of each amount spent. So
[tex]\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320[/tex]
D'Andre earns some money by helping people with their yards. It takes him an average of 2 hours to weed a flowerbed and an average of 1.5 hours to mow and edge a lawn. He can work no more than 6 hours a day. He charges $60 to weed a flowerbed and $75 to mow and edge a lawn. He needs to cover his expenses of $150 to make a profit. Write a system of inequalities that would help determine how many flowerbeds and lawns he could complete on a given day.
______________________________
plz help its due like rn so I'll give brainliest
Answer:
3 flowerbeds and 5 lawns.
Step-by-step explanation:
I promise.
2/4 - 1/4 please hep i know im not that good
for asking this
Find the perimeter, in inches, of the parallelogram
perimeter of a parallelogram
= 2(l + b)
= 2(8 inches + 6 inches)
= 2(14 inches)
= 28 inches
Step-by-step explanation:
length = 8 inches breadth = 6 inchesperimeter of parallelogram = 2 ( length + breadth )= 2( 8 + 6 )= 2 ×14= 28 inches MARK ME AS BRAINLISTWhat is 288/-32 in its standard form
Answer:
[tex] \frac{288}{ - 32} = \frac{ - 9}{1} \\ = - 9[/tex]
Answer:
the simplest form of 288/-32 is 91.
Step-by-step explanation:
hope this helps sorry if im wrong
Which statement is true about compound interest?
The interest is figured on the principal only.
The amount in the account grows slower than with simple interest of the same rate.
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
Compound interest is the interest calculated using the principal and the interest over a period of time.
The statements that are true about compound interest are:
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + rn)^{nt}[/tex]
P = principal
r = rate
t = time in years
n = number of times compounded in a year.
We have,
The interest is figured on the principal only.
This is not true because we calculate the compound interest on the interest as well.
The amount in the account grows slower than with simple interest of the same rate.
This is not true because we are calculating the interest on the principal and interest together.
The amount with compound interest will be more than the amount with simple interest.
The interest can be compounded over different time intervals.
This is true because we can have different time intervals such as,
monthly compounded, quarterly compounded, bimonthly compounded, and yearly compounded.
The interest in most banks is not calculated using compound interest.
This is true because banks don't calculate using compound interest.
Thus,
The statements that are true about compound interest are:
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ2
When a system of linear equations has no solution the graph will
a - have parallel lines
b- be the same line
c- have intersecting lines
Answer:
A
Step-by-step explanation:
there is no intersection which means no solution...i dont knwo how to explain sorry
Pl help it’s for a grade
Answer:
c
Step-by-step explanation:
Calcula el área de los rombos.
Answer:
xbxbkzkdkdjd
Step-by-step explanation:
bz va yJnzz
A circular plate has circumference 22 inches. What is the area of this plate? Use 3.14 for it.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
38.5 in squared
Step-by-step explanation:
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1051 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 19 and a standard deviation of 4.7. It is assumed that the two tests measure the same aptitude, but use different scales.
Required:
a. If a student gets an SAT score that is the 62-percentile, find the actual SAT score.
b. What would be the equivalent ACT score for this student?
c. If a student gets an SAT score of 1563, find the equivalent ACT score.
Answer:
The answer is "1110, 20.4, and 31.408"
Step-by-step explanation:
For point a:
Given:
[tex]\to mean\ ( \bar{x})=1051\\\\\to standard \ deviation \ (\sigma)=194\\\\\to P(Z<=z)=0.62\\\\\to z=0.3055\\[/tex]
Calculating the SAT score:
[tex]=1051+0.3055 \times 194 \\\\ =1110.267 \approx 1110[/tex]
For point b:
Given:
[tex]\to mean \ \bar{x}=19\\\\ \to standard \ deviation \ (\sigma) =4.7\\\\[/tex]
Calculating the equivalent ACT score:
[tex]=19+0.3055 \times 4.7 \\\\ =20.43585 \approx 20.4[/tex]
For point c:
[tex]\to SAT \ Score =1563\\\\\to z=\frac{(1563-1051)}{194}= \frac{512}{194}=2.64\\\\[/tex]
Calculating equivalent ACT score:
[tex]=19+2.64 \times 4.7 \\\\=31.408[/tex]
A study is done by a community group in two neighboring colleges to determine which college graduates students with more math classes. College A samples 11 graduates. Their average is 4 math classes with a standard deviation of 1.5 math classes. College B samples 9 graduates. Their average is 3.5 math classes with a standard deviation of 1 math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Test at a 1% significance level.
A. Is this a test of two means or two proportions? Are the populations dependent or independent?
B. Are the populations' standard deviations known or not?
C. Which distribution is to be used?
D. What is random variable?
E. Hypothesis
F. Test is two tailed or one tail
G. Test value=_____.
H. Use P-value method) to reach to the conclusion.
Answer:
A) It is a test of two proportions and the populations are independent of each other
B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1
C) The distribution to be used is 1 distribution
D) The Random variable is the size of the community group
E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2
F) Test is one tailed
G) Test Value > significance level
F) when; P value > significance level ( 0.01 ) we do accept Null hypothesis
when ; P value < significance level ( 0.01 ) we reject Null hypothesis
Step-by-step explanation:
College A :
sample size = 11
x ( mean ) value = 4
std = 1.5
College B :
sample size = 9
x ( mean value ) = 3.5
std = 1
A) It is a test of two proportions and the populations are independent of each other
B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1
C) The distribution to be used is 1 distribution
D) The Random variable is the size of the community group
E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2
F) Test is one tailed
G) Test Value > significance level
F) when; P value > significance level ( 0.01 ) we do accept Null hypothesis
when ; P value < significance level ( 0.01 ) we reject Null hypothesis
solve
1. 1/3n=4
what is n?
5th grade math. Correct answer will be marked brainliest.
Drag steps into order to correctly solve the equation x−27=62 for x.
Answer:
x - 27 + 27 = 62 + 27
x - 0 = 89
(annex rule)
x = 89
Step-by-step explanation:
please mark brainlist
12.5(7) + 11.9(8)=?
Answer:the answer is 182.7
Step-by-step explanation:brainliest please Sans Undertale out
██████████▀▀▀▀▀▀▀▀▀▀▀▀▀██████████
█████▀▀░░░░░░░░░░░░░░░░░░░▀▀█████
███▀░░░░░░░░░░░░░░░░░░░░░░░░░▀███
██░░░░░░░░░░░░░░░░░░░░░░░░░░░░░██
█░░░░░░▄▄▄▄▄▄░░░░░░░░▄▄▄▄▄▄░░░░░█
█░░░▄██▀░░░▀██░░░░░░██▀░░░▀██▄░░█
█░░░██▄░░▀░░▄█░░░░░░█▄░░▀░░▄██░░█
██░░░▀▀█▄▄▄██░░░██░░░██▄▄▄█▀▀░░██
███░░░░░░▄▄▀░░░████░░░▀▄▄░░░░░███
██░░░░░█▄░░░░░░▀▀▀▀░░░░░░░█▄░░░██
██░░░▀▀█░█▀▄▄▄▄▄▄▄▄▄▄▄▄▄▀██▀▀░░██
███░░░░░▀█▄░░█░░█░░░█░░█▄▀░░░░███
████▄░░░░░░▀▀█▄▄█▄▄▄█▄▀▀░░░░▄████
███████▄▄▄▄░░░░░░░░░░░░▄▄▄███████
Please Help, 20 points and brainiliest, URGENT.
Answer:
Step-by-step explanation:
∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.
∠D = ∠B
∠A = ∠E
△ABC and △EDC are similar because they have the same angles.
Define Love in 10 words. Don't me with this question rn XD
Answer:
uh...love is when you feel a certain way around someone
Step-by-step explanation:
1. The temperature of a body rises from -6°c to 5°c. By how much degrees does it rises?
when doing the increasing function do we use the exact point?
Answer:
Step-by-step explanation:
According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
Hope this helps!!