Answer:
that would depend on how long the project is
A can do a piece of work in 10 days, B in 12 days and C in 15 days. How long will it take them it together to complete it ?
Explanation -:We observe here that A can do the work in 10 days; B can do the same work in 12 days whereas C can do the same work in 15 days. We are asked to calculate how much time will it take if three of them will work together.
We will solve this problem with traditional method.
Let us solve the question.
[tex] \small\pmb{ A's \: 1 \: day's \: work = \dfrac{1}{10}}[/tex]
[tex] \small\pmb{ B's \: 1 \: day's \: work = \dfrac{1}{12}}[/tex]
[tex] \small\pmb{ C's \: 1 \: day's \: work = \dfrac{1}{15}}[/tex]
[tex] \small\sf{ (A + B + C)'s \: 1 \: day's \: work = \frak {\dfrac{1}{10}+\dfrac{1}{12} + \dfrac{1}{15}}}[/tex]
L.C.M of 10, 12 and 15 is 60[tex] \longrightarrow \small\frak{ \dfrac{6 + 5 + 4}{60} } [/tex]
[tex] \longrightarrow \small\frak{ \dfrac{15}{60} = \dfrac{1}{4} } [/tex]
Hence A,B and C can finish the work in 4 days.[tex] \rule{40mm}{3pt}[/tex]
[tex] \huge \star \: \large \underline{ \boxed{\bf{ Additional \: Information }}} \: \huge\star [/tex]
[tex] \small \bf{\frak{ General \: Rules \: for \: Time \: and \: Work : }}[/tex]
If a person can complete a work in x days, then in 1 day the person does 1/x of the work.If a person can complete 1/x of the work in 1 day, then the person requires x days to complete the work.If some persons work together to do a piece of work, then the money paid to them is divided among them in ratio of their one day's work[tex] \overline{ \underline{ \rule{72mm}{4pt}}}[/tex]
2.52343454 + -34355343.99
NEED HELP PLZZZZZZ ASAP
Answer:
5555555555555555555555555555555555555 trust
Step-by-step explanation:
The low weekdays temperature for a city are shown
simple math for 18 points !!
Hi there!
[tex]\large\boxed{C. \text{ } \$ 272.50}[/tex]
To begin, we can find the amount he is paid from his hourly wage:
$12.75 × 6 = $76.5
Calculate the commission by adding up the sales to get the total:
$1200 + $2350 $975 + $375 = $4900
4% of $4900 = 4900 × 0.04 = 196
Add the total wage and commission together:
76.5 + 196 = $272.50
Answer:
c 272.50
Step-by-step explanation:
The local branch of the Internal Revenue Service spent an average of 21 minutes helping each of 10 people prepare their tax returns. The standard deviation was 5.6 minutes. A volunteer tax preparer spent an average of 27 minutes helping 14 people prepare their taxes. The standard deviation was 4.3 minutes. At α = 0.02, is there a difference in the average time spent by the two services? Find the 98% confidence interval for the two means.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
Answer:
The confidence Interval is [- 0.7053 10.4521]
a: The hypotheses are
H0: μ1=μ2 against the claim Ha :μ1≠μ2
b. The critical value for t∝/2 for 17 d.f t > 2.508 and t < -2.111
c. t= -2.8422
d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.
Step-by-step explanation:
When the standard deviations are not the same then the confidence intervals for mean differences are calculated as
(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2
x1`= 21 x2`= 27
n1= 10 n2= 14
s1= 5.6 s2= 4.3
The degrees of freedom is calculated using
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 17
The t∝/2 for 17 d.f = 2.11
Putting the values
(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2
(21-27) - 2.11√5.6²/10+ 4.3²/14 < u1-u2 <(21-27) +2.11√5.6²/10+4.3²/14
6- 2.11*2.111 < u1-u2 < ( 6 ) +2.11*2.111
6- 4.4521 < u1-u2 < ( 6 ) +5.294
- 1.5479 < u1-u2 < 10.4521
The confidence Interval is [- 0.7053 10.4521]
a: The hypotheses are
H0: μ1=μ2 against the claim Ha :μ1≠μ2
The claim is that there is a difference in the average time spent by the two services
b. The critical value for t∝/2 for 17 d.f t > 2.508 and t < -2.111
The degrees of freedom is calculated using
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 17
c. The test statistic is
t= (x1`-x2`) /√s1²/n1 + s2²/n2
t= (21-27) /√5.6²/10+ 4.3²/14
t= -6/2.111
t= -2.8422
d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.
A rectangular book cover is 8cm long and 5cm wide.Find the area of a book cover
Answer:
26cm
Step-by-step explanation:
because you have to add 8cm+8cm +5cm+5cm=26cm
FREE POINT GIVE AWAY!!!!!! Just solve my equation 5*4+2=? (I already know the answer)
Answer:
22
Step-by-step explanation:
I did the math in my head sooo if it's wrong I know why
[tex]s = 2\pi(r + h)[/tex]
find r
What is the mean of the data set?
25, 18, 16, 25
Answer:
21
Step-by-step explanation:
Add all of the numbers and then divide by how many numbers there are.
I need help. I really don't understand this problem
Question 5 of 10
Use the function below to find F(-4).
F(x) = 2x
O A. -16
B. -8
C.
1CO
1
O D.
Answer:
B. -8
Step-by-step explanation:
F(x) = 2x
F(-4) = 2(-4) = -8
Give the coordinates of point A.
Answer: -2,-5
Step-by-step explanation:
The red point is located in the 3rd quadrant in the graph. So that means both the y and the x are negative. So first you go by the x value, the point is located on the 2 space left (-) from the origin (center) of the graph and then you have to go 5 spaced down (-). So point A is located at (-2,-5).
please answer ive been waiting half hour
Every plant bloomed in the spring. The simple subject of this sentence is _____.
every
every plant
plant
bloomed
The subject is the idea,being or thing being discussed.
Should be "plant". Its the Main thing being discussed.
A grading scale is set up for 1000 students' test scores. It assumes the
scores are normally distributed with a mean score of 75 and a standard
deviation of 15.
How many students will score between 48 and 75?
hint: recall how to get the standard deviation. What does that mean in
this context? How could you use that to understand how many test
scores could be in one standard deviation?
464
Answer:
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.
This means that [tex]\mu = 75, \sigma = 15[/tex]
How many students will score between 48 and 75?
First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So
X = 75
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 75}{15}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5
X = 48
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48 - 75}{15}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a p-value of 0.0359
1 - 0.0359 = 0.4641
Out of 1000:
0.4641*1000 = 464
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
44%
Bill needs to build a rectangular sheep pen.
The pen must have a perimeter of 24 m.
Every half metres of fencing cost him £1.20.
a) Work out the cost of fencing used to make
the sheep pen.
The length of the sheep pen is three times its width.
b) Find the length and width of the sheep pen.
Length
metres
Width
metres
Answer:
£57.60
9m
3m
Step-by-step explanation:
cost of fencing = perimeter of the fence x cost of half meter x 2
1.2 x 2 x 24 = £57.60
Perimeter = 2 x ( length + width)
let x = width
length = 3x
2 x (3x + x) = 24
divide both sides of the equation by 2
4x = 12
x = 3
Length = 3 x 3 = 9m
Identify the constant term of
14 - 8x - 7y
Answer:
14
Step-by-step explanation:
Enter the absolute value of 6.2 and -7/2
Answer:
1, 6.2 and 7/2
Step-by-step explanation:
Answer:
6.2 = 6.2
-7/2= 3.5
Step-by-step explanation:
Because I know, mark brainliest please
what is 358 divided by 6
Answer:
59.6
Step-by-step explanation:
:)
Decimal form-59.6
Mixed fraction form-59 2/3
Exact form-179/3
What is the volume of the rectangular prism above?
A.
1/15
B.
1/5
C.
1/12
D.
1/20
Answer: A
Step-by-step explanation:
HxWxL equals 4/60. 4/60 simplified is 1/15.
You deposit $200 in an account earning 2% interest compounded annually how much will you have any account in 10 years
Answer:
$243.80
Step-by-step explanation:
You basically just multiply this by 1.02, then multiply the answer of that by 1.02, etc, until you did it 10 times in total. There is also the formula
P (1 + r/n)^(nt)
Where
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
need help asappppppp
Answer:
for what
Step-by-step explanation:
Which expression has a value greater than 43 ?
PLEASEEE HELP!
Answer:
7^2
Step-by-step explanation:
7*7=49
4^3=43
49>43
I need help ☹️ anybody know if it’s a b c or d
Answer:
C
Step-by-step explanation:
why do we need to consider ethical principles in doing researches
Answer:
Research ethics are important for a number of reasons. They promote the aims of research, such as expanding knowledge. They support the values required for collaborative work, such as mutual respect and fairness. This is essential because scientific research depends on collaboration between researchers and groups
Step-by-step explanation:
please give me brainliest
Research ethics are important for a number of reasons. They promote the aims of research, such as expanding knowledge. They support the values required for collaborative work, such as mutual respect and fairness. This is essential because scientific research depends on collaboration between researchers and groups.
Mr. Zhāng received a shipment that
arrived in a cardboard box in the shape of a
rectangular prism. The volume of the box
was 110 cubic feet. The area of the base of
the box was 20 square feet. What was the
height of the cardboard box?
Please help marking people as brainlist
Can someone please Help me with this ?
Answer:
The answer is A
Step-by-step explanation:
t(x) = (x-4)(x-4)+3
t(x) = (x²-4x-4x+16)+3
t(x) = x²-8x+19
In ancient Egypt, mathematicians and architects used 10 as an approximation for π . The circular floor of an ancient arena is paved with tiles. The floor of the arena has a radius of 100 feet.
HELP PLEASEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
12²+15² is 369. square root of 369 is 3[tex]\s\sqrt{41[/tex] or 19.2
A salesman sold 345
iPods this month and
214 iPads. If he sells this
amount of iPods every
month for the next 12
months, how many iPods
will he sell?
Answer:
2568
Step-by-step explanation:
214x12=2568
help me please I dont know this
Answer:
answer: 384
Step-by-step explanation:
Hello! cubes are very simple! since there all the same measure and 6 faces all we have to do is 8 × 8 = 64 sense we know 1 face is 64 we just have to multiply by 6 cause there is 6 faces so
64 × 6 = 384 Hope this helps you!