Answer:
The daily rate is: 17500 units per day
Step-by-step explanation:
Given
[tex]R = 1700x - 2x^2[/tex]
[tex]\frac{dx}{dt} = 25[/tex]
Required
Find [tex]\frac{dR}{dt}[/tex] when [tex]x = 250[/tex]
We have:
[tex]R = 1700x - 2x^2[/tex]
Differentiate both sides with respect to time
[tex]\frac{dR}{dt} = 1700\frac{dx}{dt} - 4x\frac{dx}{dt}[/tex]
Factorize
[tex]\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}[/tex]
Substitute: [tex]\frac{dx}{dt} = 25[/tex] and [tex]x = 250[/tex]
[tex]\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}[/tex]
[tex]\frac{dR}{dt} = (1700- 4*250)*25[/tex]
[tex]\frac{dR}{dt} = (1700- 1000)*25[/tex]
[tex]\frac{dR}{dt} = 700*25[/tex]
[tex]\frac{dR}{dt} = 17500[/tex]
Jane earns a 5.5% commission on the selling price of each home she sells. She earned $9,020 in commission on the sale of a home. What was the selling price of the home?
Answer:
"$164000" is the appropriate answer.
Step-by-step explanation:
Let the selling price be "s".
As per the question,
If Jane take 5.5% of selling price i.e.,
= [tex]0.055\times s[/tex]
Given commission,
= $9,020
then,
The selling price will be:
⇒ [tex]0.055\times s=9020[/tex]
[tex]s=\frac{9020}{0.055}[/tex]
[tex]=164000[/tex] ($)
If a rectangle has a length of 10 cm and a width of 12 cm, what is it's perimeter () and area
Answer:
p=44,A=120
Step-by-step explanation:
P=10+12+10+12
P=44cm
A=10*12
A=120cm^2
Clara goes miniature golfing. She pays $7.50 for
admission ticket and $6.25 for each round she golfs.
The total amount Clara pays for admission and the
number of rounds she golfs is $26.25. Which equation
can be used to determine the number of rounds, x, that
Clara golfs?
A) 6.25x + 7.50 = 26.50
B 6.25x = 7.50 = 26.25
C) 7.50x + 6.25 = 26.25
D) 7.50x - 6.25 = 26.25
Answer:A
Step-by-step explanation:
She has to pay 7.50 for admission and golf is 6.25 each round. We don’t know how many rounds she golfs so it will be 6.25x.
A binomial experiment is given. Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S. adults and ask them whether they have been to court.
Answer:
Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.
The mean is of 11.1 and the standard deviation is of 2.64.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Using the normal distribution to approximate the binomial distribution.
This is possible if:
[tex]np \geq 10, n(1-p) \geq 10[/tex]
A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S.
This means that [tex]p = 0.37, n = 30[/tex]
Test if it is possible:
[tex]np = 30*0.37 = 11.1[/tex]
[tex]n(1-p) = 30*0.63 = 18.9[/tex]
Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.
Mean and standard deviation:
[tex]E(X) = np = 30*0.37 = 11.1[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.37*0.63} = 2.64[/tex]
The mean is of 11.1 and the standard deviation is of 2.64.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6). Robin thinks the probability is 136 based on the tree diagram they created. Steven disagrees and argues that the probability of rolling double sixes is 16. John counts twelve outcomes and claims the probability is 112.
Who correctly found the probability of rolling double sixes using the tree diagram?
A
Robin because there are 36 outcomes and only one is (6, 6).
B
Steven because there are 6 outcomes and only one is (6, 6).
C
Steven because there are 36 outcomes and six of them are (6, 6).
D
John because there are 6 outcomes for each and only one is (6, 6).
Answer:
A. Robin because there are 36 outcomes and only one is (6, 6).Step-by-step explanation:
You would get the probability of double sixes as:
P(6, 6) = 1/6*1/6 = 1/36Correct choice is A
The Robin because there are 36 outcomes and only one is (6, 6) is the correct option.
We have given that,
Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6).
Robin thinks the probability is 136 based on the tree diagram they created.
Steven disagrees and argues that the probability of rolling double sixes is 16.
John counts twelve outcomes and claims the probability is 112.
What is the probability?The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes
You would get the probability of double sixes as:
P(6, 6) = 1/6*1/6 = 1/36
Correct choice is A.
Therefore the Robin, because there are 36 outcomes and only one is (6, 6).
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Avery spent 10 minutes outside. If
she spent 64 minutes riding her bike,
48 minutes on the trampoline, and the
rest of the time swimming, how many
minutes did Avery spend swimming?
Answer:Cannot be solve how much time did she spend all together but adding it all together would be 122 minutes/ she never went swimming
Step-by-step explanation:
Plz help me well mark brainliest if correct....????
Answer:
C
Step-by-step explanation:
18 boys
Answer:
i think 18 msy be
Step-by-step explanation:
A basket holds n apples. You pick 2n-3 apples, and your friend picks n + 4 apples. Write an expression that represents the number of applies you and your friend picked. Interpret the expression
Answer:
a
Step-by-step explanation:
hii :)
so we cant add n numbers and not n numbers.
knowing this, we have to somehow put them together.
2n-3+n+4
adding the 2n and n together: 3n-3+4
add -3+4=1
resulting in
3n+1, so the answer is A because n is a full basket and 3 times that is 3 full baskets. (with an extra 1 apple)
i hope this was easy to understand!
Let x stand for the percentage of an individual student's math test score. 64 students were sampled at a time. The population mean is 78 percent and the population standard deviation is 14 percent. What is the standard deviation of the sampling distribution of sample means?
Answer:
[tex]\sigma_x= 1.75\%[/tex]
Step-by-step explanation:
Given
[tex]n = 64[/tex]
[tex]\mu = 78\%[/tex]
[tex]\sigma = 14\%[/tex]
Required
The sample standard deviation
This is calculated as:
[tex]\sigma_x= \frac{\sigma}{\sqrt n}[/tex]
This gives:
[tex]\sigma_x= \frac{14\%}{\sqrt {64}}[/tex]
[tex]\sigma_x= \frac{14\%}{8}[/tex]
[tex]\sigma_x= 1.75\%[/tex]
A giant tortoise can travel 0.19 miles in 1 hour. At this rate, how long would it take the tortoise to travel 1 mile?
Answer:
5.26 hours or 315.6 minutes
Step-by-step explanation:
If he travels 0.19 miles in 1 hour
Then 1 mile is traveled (1x1)/0.19
5.26 approx. hours or 5.26 x 60 mins = 315.6.
Plz help me well mark brainliest if correct.....???
Answer:
A) Lydia
Step-by-step explanation:
If x varies inversely as v, and x = 35 when v = 3, find x when v = 15
Answer:
x = 7
Step-by-step explanation:
Given that,
x varies inversely as v.
When v = 3, x = 35.
We need to find x when v = 15
ATQ,
[tex]x=\dfrac{k}{v}[/tex]
Put v = 3, x = 35,
[tex]k=3\times 35\\\\k=105[/tex]
Now put v = 15 and k = 105
[tex]x=\dfrac{105}{15}\\\\x=7[/tex]
So, the required value of x is equal to 7.
which graph is the graph of f(x) = 2 + 2?
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
an area that is 21 metre wide and 9 metre long is divided evenly into squares . what the greatest possible side length the squares that the area can be evenly divided into
Answer:
47 squares
Step-by-step explanation:
Looking at your question was quite confusing.
So, I'll assume that you're looking for the amount of squares that can fit within the specified area.
To find area: we would do A = L x W
So, our values are 21W and 9L.
Plug it in.
A = 21 x 9
A = 189 square meters
Then, we would find the number of squares that could fit in the area.
A square meter is a square with a side length of 1 meter on each side.
So, 1 x 4 = 4
Divide 189 by 4.
189/4 = 47.25
1/4 is the remainder.
So, our total is 47 squares.
Do please, tell me if I did it incorrectly, since the context is quite vague.
Exercise 21.4
Write each of the following quadratic expressions in the form afx+p+
2. 6-2
1. 2r-58-12
4. 4-9-9
3. 20+ 6x-2
5. 3x² - 7x + 4
6. 7y + 19y-6
8. 107 + 9x + 2
7. 22 +51-42
9. 6 + 16x + 10
10.12716
5 Construction and simplification of formulae ar
quatil
inno
Answer:
B
Step-by-step explanation:
Sjdxdbnjenide because x029w09
IF ITS RIGHT ILL MARK BRAINLIEST
Answer:
Answer is 12
Step-by-step explanation:
angle BCF+angle CFE=180(being co-interior angle)
4x+11x=180
15x=180
x=180/15
x=12
Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this has changed, so he is going to take a random sample of adults in his city and see what percent of them bike to work. Let p represent the proportion of adults in Elliot's city that bike to work.
Required:
What is an appropriate set of hypotheses for his significance test?
Answer:
The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]
Step-by-step explanation:
Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.
At the null hypothesis we test if the proportion is still the same, that is, of 6%. So
[tex]H_0: p = 0.06[/tex]
At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So
[tex]H_1: p \neq 0.06[/tex]
What is an appropriate set of hypotheses for his significance test?
The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]
CORRECT (SELECTED)
z=\dfrac{0.1-0.06}{\sqrt{\dfrac{0.06(0.94)}{240}}}z=
240
0.06(0.94)
0.1−0.06
Select ALL ordered pairs that are located in the first quadrant of the coordinate plane.
A (-3,8)
B (9,-7)
C (5,4)
D (2,6)
Answer:
C, D
Step-by-step explanation:
in the first coordinate plane, both numbers in a coordinate must be positive
the sum of 12 and one-tenth of x
Answer:
12 + 1/10x
that would be the expression
Step-by-step explanation:
Fatimah has 40 coins. Some of the coins are 50c coins and the rest are 20c coins. The total value is $16.10. How many 50c coins does Fatimah have?
Answer:
number of 50c = x
number of 20c = y
total coins 40
x +y = 40 ------(1)
0.5x + 0.2y = 16.10 ------(2)
from (1) => x = 40 - y
substitute x in (2)
0.5(40 -y) + 0.2y = 16.10
20 - 0.5y + 0.2y = 16.10
-0.3y = -3.9
y = 13
from (1) => x = 27
Answer: number of 50c = 27 coins
Which of the following is a major difference between a
hypothesis test with the t statistic formula and the test with a z‐
score?
a) You must know the population variance (or standard
deviation) for the z‐score but not for the t statistic.
b) You use the unit normal table to find critical values for
the z‐score test but not for the t test.
c) You must calculate the sample variance (or standard
deviation) for the t statistic but not for the z‐score.
d) All of the other options are major differences.
Answer:
What's the key difference between the t- and z-distributions? The standard normal or z-distribution assumes that you know the population standard deviation. The t-distribution is based on the sample standard deviation.
The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is,
⇒ You must know the population variance (or standard deviation) for the z‐score but not for the t statistic.
What is Standard deviation?Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
We have to given that;
To find the major difference between a hypothesis test with the t statistic formula and the test with a z‐ score.
Now, We know that;
The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is the population variance (or standard deviation) for the z‐score but not for the t statistic.
Thus, The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is,
⇒ You must know the population variance (or standard deviation) for the z‐score but not for the t statistic.
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plss help!!sorry if i asked alot
Answer:
[tex] \frac{2 }{3} [/tex]
Step-by-step explanation:
Formula is
y=mx+c So,2by 3 is m and x is there and 2 at last is c .
answer is 2 by 3
Pls help ill give u brainlest!! 40 points
Hakeem owns seven less than 3/5 the number of DVDs that Manuel owns. Hakeem owns 20 DVDs. How many DVDs does Manuel own? Show your work.
Answer:
Manuel owns 5 DVDS
Step-by-step explanation:
3/5 = 12/20
12 - 7 = 5
you watch seven deadly sins?
Find the missing side lengths. leave your answer as radicals simplest form
Answer:
Step-by-step explanation:
Both of the triangles are special 30-60-90 triangles
and the side lenghts for these angle mesurements are followed : q, q√(3),2q
q is given as 3 from the 9th question
so a = 6 (because it's 2q) and
b = 3
For the 10th question
the side length that sees 30 degrees is 3 which means q = 3 again
and x = 6
y = 3√(3)
The parks department plans to cover a rectangular field
in a park with grass and must find the area of the field.
The field is 10 m longer than it is wide. The width of the
field is 25 m. What is the area to be seeded?
ASAP rn
Answer: 875 m²
Step-by-step explanation:
Find 14.32 ÷ 3.5. Round your answer to the nearest hundredth.
Answer: 4.09
Step-by-step explanation:
4.09142857 rounded to the nearest hundredth is: 4.09
Which types of triangles can have three angles that measure less than 90°?
acute triangle
equilateral triangle
right triangle
isosceles triangle
Answer:
An acute triangle
Step-by-step explanation:
Please answer for brainliest [answer number 2]
Answer:
4
Step-by-step explanation:
Givin the equilateral triangle below find the value of y
Answer:
15°
Step-by-step explanation:
All angles in an equilateral triangle are equal.
Angle sum property of triangle = 180°
<1 + <2 + <3 = 180°
<1 = <2 = <3 = 60°
4y = 60
y = 60/4
y = 15°