Answer:
$462.5
Step-by-step explanation:
Given the cost function expressed as;
C = 37000/100−p
To get C(20), we will substitute p = 20 into the expression and get C as shown;
C(20) = 37000/100-20
C(20) = 37000/80
C(20) = 462.5
Hence the cost needed to clean 20% of the stream is $462.5
In circle C with mZBCD = 106 and BC = 6 units find area of sector BCD.
Round to the nearest hundredth.
D
с
B
Answer:
33.30 units²
Step-by-step explanation:
Central angle = m<BCD = 106°
Radius (r) = 6 units
Area of sector BCD = central angle/360° × πr²
Plug in the values into the formula
Area of sector BCD = 106/360 × π × 6²
Area of sector BCD = 106/360 × π × 36
Area of sector BCD = 33.3008821
Area of sector BCD = 33.30 units² (nearest hundredth)
Find the amount after the specified time. A population of 1,236 grows 1.3% per year for 10 years.
Answer:
1,406
Step-by-step explanation:
p = a(1 + r)^t
p = 1,236(1.013)^10
p = 1,406.4131692427
p = 1,406
PLZ HELP ASAP!!! What is the area of sector DEF in terms of pi ?
120°
3 cm
E
Answer:
Area of the sector : D.
3π cm²
PLEASE HELP! I WILL GIVE BRAINLIEST!?!
how to do u write 10*10*10*10*10 as word form
Answer:
One hundred thousand
Step-by-step explanation:
It would be one hundred thousand because 10*10*10*10*10 is 100,000, hence 100,000 would be, well, one hundred thousand.
Answer:
ten times ten times ten times ten times ten or one hundred thousand
Step-by-step explanation:
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)
Answer:
40π in^2
Step-by-step explanation:
360°/72°=5
so, each of the two shaded regions are 1/5 of the circle.
the formula for finding the area of a circle is πr^2, so:
area for one of the shaded regions:
1/5πr^2
1/5π(10)^2
1/5π100
20π in^2
this means that the area for one of the shaded regions is 20π. however, since there are two of them:
2(20π)=40π
so, the area of the shaded regions is 40πin^2
Workings please......
Answer:
21.142
Step-by-step explanation:
not sure it's correct
Sandi randomly selects a single bill from an envelope containing 8 ones, 5 fives, 4 tens, and 3 twenties. What is the expected value of the money she selects
Answer:
The expected value of the money she selects is 6.65.
Step-by-step explanation:
Expected value:
Sum of each outcome multiplied by its probability.
We have:
8 + 5 + 4 + 3 = 20 total bills.
8 are ones, so P(X = 1) = 8/20 = 0.4.
5 are fives, so P(X = 5) = 5/20 = 0.25.
4 are tens, so P(X = 10) = 4/20 = 0.2
3 are twenties, so P(X = 20) = 3/20 = 0.15.
What is the expected value of the money she selects?
[tex]E(X) = 0.4*1 + 0.25*5 + 0.2*10 + 0.15*20 = 6.65[/tex]
The expected value of the money she selects is 6.65.
Question 6
1 pts
A baby weighed 7.2 pounds at birth. Her weight was recorded at each of her infant
doctor appointments. The records for her appointments from birth to six months are
shown in the table below. Use the line of best fit to estimate the baby's weight at 1
year (12 months)?
Months
Weight (lbs)
Answer:
24.4
Step-by-step explanation:
Given the data :
Month (X) : 0, 1, 2, 4, 6
Weight (Y) : 7.2, 9.4, 10.5, 13.2, 15.9
To obtain the predicted weight at 1 year, we fit the data to obtain the regression model. Using technology, the regression model obtained is :
y = 7.6 + 1.4X1
Substituting x = 1 year into the regression model, we obtained the predicted weight at 1 year ;
1 year = 12 months, hence, x = 12
y = 7.6 + 1.4(12)
y = 7.6 + 16.8
y = 24.4
find rational numbers between
( -7 and 1/3)
5/9 and 2/3
[tex] \frac{ - 2}{5} and \frac{ - 3}{7} [/tex]
Answer:
i know there's a lot of explanation. but it helps u for sure :)
Step-by-step explanation:
1)
[tex]-7 \ and \ \frac{1}{3} = \frac{-7}{1} \ and \ \frac{1}{3}\\\\LCM \ of \ 1 \ and\ 3 = 3\\\\\frac{-21}{3} \ and \ \frac{1}{3}\\\\To \ find \ rational \ numbers \ between \ \frac{-21}{3} \ and \ \frac{1}{3} \ write \ any \ number \ between \ -21 \ and \ 1 \ with \ denominator \ 3. \\\\That \ is, \ \frac{-20}{3}, \frac{-19}{3}, \frac{-18}{3}.....[/tex]
2)
[tex]\frac{5}{9} \ and \ \frac{2}{3}\\\\Similarly \ take \ LCM \ of \ 9 \ and \ 3 = 9\\\\Since \ it \ is \ still \ complicated \ to \ find \ rational \ number \ between \ \frac{5}{9} \ and \ \frac{6}{9},[/tex]
[tex]because \ there \ exists \ no\ natural \ number \ between \ 5 \ and \ 6.[/tex]
[tex]We \ will \ multiply \ numerator \ and \ denominator\ by\ 10. \\\\Therefore\ \frac{5}{9} \ and \ \frac{6}{9} \ becomes \ \frac{50}{90} \ and \ \frac{60}{90}.[/tex]
[tex]Keeping \ denominator \ 90 \ write \ numbers \ from \ 50 \ to \ 60 \ in \ the\ numerator.\\\\That \ is , \frac{51}{90}, \frac{52}{90}, \frac{53}{90}, \frac{54}{90}, .\ .\ .[/tex]
3)
[tex]LCM \ of \ 5 \ and \ 7 = 35\\\\\frac{-2}{5} \ and \ \frac{-3}{7}\ becomes \ \frac{-14}{35} \ and \ \frac{-15}{35}\\\\Now \ multiply \ denominator \ and \ numerator \ by \ 10\\\\\frac{-140}{350} \ and \ \frac{-150}{350}.\\\\Rational \ numbers \ are \frac{-141}{350}, \frac{-142}{350}, \frac{-143}{350}, . \ . \ . \[/tex]
Tip :
1. Make the denominator same.
2. Multiply numerator and denominator by 10 , 100 or 1000
3. Just write the natural numbers between the 2 numerators keeping denominator same.
Emily has plum trees in her backyard.
Eeach year she uses the fruit to make jelly.
Here are the ingredients for her recepie.
4 pounds of pluma
3 pounds of sugar
1 cup of water
This recepie makes 6 pounds of jelly.
How many pounds of plums will she need to make 24 pounds of jelly?
Show how you figured this out.
Answer:
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
she needs 4 pounds of pluma to make 6 pounds of jelly.
so 4 pounds of pluma x 4 = exactly 24 pounds of jelly. 4×4=16
At the neighborhood block party, Hassan served 3 gallons of hot chocolate and 1/2 of a gallon of apple cider. How much more hot chocolate than apple cider did Hassan serve?
Write your answer as a fraction or as a whole or mixed number.
Answer:
2 gallons and 1/2
Step-by-step explanation:
You just have to subtract 1/2 from 3.
3 - 1/2 = 2 1/2
or
3 - .5 = 2.5
And 2 1/2 is how much more he served.
Answer: 5 times more hot chocolate
Step-by-step explanation:
a baker made cakes, cookies, and buns, of the total number of baked products he made, 28% more cookies. The number of cakes was three times the number of buns. He made 270 cakes. He sold 40 buns and 120 cakes. how many cookies must he sell that The ratio of the number of buns left the number of cakes to the number of cookies left is 1 : 3 : 2. HELP PLEASEEE
Answer:
40 cookies was sold
Step-by-step explanation:
Let x represent the number of cakes baked, y represent the number of cookie baked and z represent the number of buns baked.
He made 270 cakes. Therefore x = 270
28% of the total baked products where cookies, hence:
0.28(270 + y + z) = y
75.6 + 0.28z = 0.72y
0.72y - 0.28z = 75.6 (1)
The number of cakes was three times the number of buns. Hence:
x = 3z
3z = 270
z = 90
Put z = 90 in equation 1:
0.72y - 0.28(90) = 75.6
0.72y -25.2 = 75.6
y = 140
Therefore 270 cakes was baked, 140 cookies was baked and 90 buns was baked.
He sold 40 buns and 120 cakes, the number of buns and cakes left is 50 buns and 150 cakes. Let us assume that number of cookies left was a. Since the ratio of left buns to cakes to cookies is 1:3:2. Hence:
(1/6) * (50 + 150 + a) = 50
300 = 200 + a
a = 100
Therefore 100 cookies was left. The number of sold cookies = 140 - 100 = 40
easy question for alot points
Answer:
B) 2meter line segment
Step-by-step explanation:
3.28ft=1m
Then an easy way to find the answer is to multiply 3.28 by 2
to if the 6.3ft line is under or over 2m
3.28 multiplied by 2 equals 6.56
6.56>6.3
therefore, the 6.3ft. line segment is just a little shorter than 2m
If you double the demensions of the right cylinder what is the approximate surface area of the new cylinder
Answer:
What are the original demensions?
Step-by-step explanation:
I did this question (5 a) on sketching transformations, but when I graphed it it was incorrect. What did I do wrong?
- 3 is for vertical displacement sis.
( Sorry about my bad graphing and bad quality of the pic )
AABC - DEF. What sequence of transformations will move A ABC onto A DEF? 10 8 A(0.4) B(0,0) C(3.0) -10 -8 -6 -4:1-2 6 8 10 -2D(0.2) 24 8 -10 E(0.-10) F( 6-10)
Answer:
Option B
Step-by-step explanation:
It's clear from the graph attached,
ΔABC has been dilated and shifted downwards.
Length of segment AB = 2 units
Length of segment DE = 4 units
Scale factor by which the dilation has been done = [tex]\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}[/tex]
Scale factor = [tex]\frac{DE}{AB}[/tex]
= [tex]\frac{4}{2}[/tex]
= 2
Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.
Lets consider a point B(0, 0) from the given graph and analyze the transformations done.
If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,
B(0, 0) → E(0 + h, 0 + k)
Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.
Therefore, (0 + h) = 0 ⇒ h = 0
0 + k = -10
k = -10
Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)
Option B is the correct option.
Kelly is making a quilt out or "3 square yards of white fabric and 's square yards of yellow fabric. What is the unit rate of yellow
fabric to white fabric?
СА.
3 square yards of yellow fabric to 1 square yard of white fabric
Ов
of a square yard of yellow fabric to 1 square yard of white fabric
OC
of a square yard of yellow fabric to 1 square yard of white fabric
OD
square yards of yellow fabric to 1 square yard of white fabric
Answer:
c
Step-by-step explanation:
I think it is c
I need help can someone help me and please explain it
5) If Gwen's book has 597 pages and she plans to read 25 pages each night, how many nights will it take her to finish reading the book?
Answer:
twenty-four nights
Step-by-step explanation:
597 divided by 25 will give you 23.88 which i rounded up to 24.
SOMEONE HELP PLEASE!!!
Answer:
0=0 1=1 2=0 3=0 4=1 5=3 6=1 7=0 8=0 9=1 10=2 11=1 12=2 13=0 14=0 15=3 16=0
Step-by-step explanation:
There was no question so here above is the Dollars spent graph in numbers not dots!
the average number of mosquitos caught in 64 mosquito traps in a particular environment was 700 per trap . the standard deviation of mosquitos caught in the entire population of traps is 100 mosquitos. what is the 99% condidence interval for the true mena number of mosquitos caught in all mosquito traps
Answer:
the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )
Step-by-step explanation:
Given the data in the question;
sample mean x' = 700
sample size n = 64
the standard deviation σ = 100
99% confidence interval for the true mean number of mosquitos caught in all mosquito traps = ?
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Z-critical [tex]Z_{\alpha /2[/tex] = 2.575 { from table }
So, to get the 99% confidence interval;
⇒ x' ± [tex]Z_{\alpha /2[/tex] ( σ / √n )
we substitute
⇒ 700 ± 2.575 ( 100 / √64)
⇒ 700 ± 2.575( 12.5 )
⇒ 700 ± 32.1875
⇒ ( 700 - 32.1875 ), ( 700 + 32.1875 )
⇒ ( 667.81, 732.19 )
Therefore, the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )
Norton can mow the large lawn in about 5 hours. When he works with
Jesse, they can mow the same lawn together in about 3 hours. Which of
the following equations can be used to determine how long it would
take Jesse to mow the lawn by himself?
total. jobs
job. A
time. together time time
job. B
Answer:
7.5 hours
Step-by-step explanation:
The key here is to find out how much can be done in the same amount ot time
the least common multiple of 5 hrs and 3 hrs is 15hrs
In 15 hours:
- At 5 hours per lawn Norton could mow 15/5 = 3 lawns
- At 3 hours per lawn together thay could mow 15/3 = 5 lawns
In 15 hours Jesse would mow 5 - 3 = 2 lawns
15 hours/ 2 lawns = 7.5 hours per lawn
7.5 hours
--------------------
Here's the math
1 lawn/5hrs + x = 1 lawn / 3hrs
1/5 + x = 1/3
Subtract 1/5 from both sides
x = 1/3 - 1/5
x = 5/15 - 3/15
x = 2/15
x = 2lawns/15 hrs
15hrs/2lawns = 7.5 hrs per lawn
7.5 hours
Suppose the salaries of university professors are approximately normally distributed with a mean of $65,000 and a standard deviation of $7,000. If a random sample of size 25 is taken and the mean is calculated, what is the probability that the mean value will be between $62,500 and $64,000? a. .1465 b. .0827 c. .0371 d. .2005
Answer:
0.2005
Step-by-step explanation:
Mean, m = 65000
Standard deviation, σ= 7000
Sample size, n = 25
Let X = random variable of salary
Recall:
Z = (μ - x) /(σ/√n)
P(62500 ≤ x ≤ 64000) =?
Pr((65000 - 62500)/7000/√25 ≤ z ≤ (65000 - 64000) / 7000/√25)
P(2500 / 1400 ≤ z ≤ 1000/1400)
P = (1.79 ≤ z ≤ 0.714)
Using the normal distribution table or a Z probability calculator
0.4633 - 0.2624
= 0.2009
A company want to find out if there is a linear relationship between indirect labor expense (ILE), in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 10 months are given. Approximately what percentage of the variation in indirect labor expenses is explained by the regression model you derived?
DLH(X) ILE(Y)
20 361_0
25 400
22 376
23 384
20 361_0
19 360
24 427.2
28 458.4
26 450_8
29 475.2
Answer:
y = 115.0977+12.2992X
91.59%
Step-by-step explanation:
Given :
DLH(X) ILE(Y)
20 361_0
25 400
22 376
23 384
20 361_0
19 360
24 427.2
28 458.4
26 450_8
29 475.2
DLH (X) : Direct Labor Hours
ILE (Y) : Indirect Labor Expense
The regression model obtained by fitting the data using technology is :
y = 115.0977+12.2992X
Where ;
Intercept = 115.0977 ;
Slope = 12.2992
The Coefficient of determination, R² gives the proportion of explained variance due to the regression line.
For the data given above, the Coefficient of determination R² obtained using the Coefficient of determination calculator is 0.9159 ; which means that (0.9159 * 100%) about 91.59% of the variation in indirect labor expense is explained by the regression line while 8.41% is due to other factors.
The height of the triangle is 4 inches less than four times its
base. The area of the triangle is 112 in2. What is the height of
the triangle?
Answer:
Let base = b
Given height, h is 4inches less than base. So h = b - 4
[tex]Area = \frac{1}{2} \times base \times height\\\\112 = \frac{1}{2} b \times(b-4)\\224 = b(b -4)\\b^2 - 4b -224 = 0\\\\b= \frac{4 \pm \sqrt{16 - (4\times -224)} }{2} \\\\\\b= \frac{4 + \sqrt{16 +896 } }{2} , b= \frac{4 - \sqrt{16 +896} }{2} \\\\\\b = 17.099 , -13.099[/tex]
Since length can't be negative, we take b = 17.099inches
Height ,h = b - 4 = 13.099 inches ≈ 13.1 inches
Can somebody please tell me the answer of this?
Answer:
20
Step-by-step explanation:
[tex]15^2+b^2=25^2\\225+b^2=625\\625-225=b^2\\b^2=400\\\sqrt{400}=20[/tex]
Find the value of x for the right triangle. Round your answer to the nearest hundredth.
450
19
Answer:
450 foe
Step-by-step explanation:
W varies directly with the square of n and when n = 3, W = 117. Find n when W = 637
n =
Answer:
n = 7
Step-by-step explanation:
Varies directly
w/n² = k
---------------------------
when n = 3, W = 117
k =117/3²
k = 117/9
k = 13
-------------------------
Find n when W = 637
637/n² = 13
637 /13 = n²
49 = n²
7 = n
alice does a sponsored walk se starts from home on monday 8am she arrives back home 55 hours later work out when she arrives back home
Answer: Alice returns on Wednesday, 3 pm.
Step-by-step explanation: One day is 24 hours long. 55 hours is 2 days and 7 hours. So Alice comes back home on Wed , add 8 am 7 hours and you get 3 pm
The time that Alice would arrive home from the sponsored walk given the the time she starts the walk is Wednesday by 3pm.
What time would Alice arrive home?The first step is to divide 55 hours into days. This can be done by dividing 55 hours by 24.
55/24 = 2 days 7 hours
The second step is to add 2 days 7 hours to 8am: Monday 8am + 2 days 7 hours = Wednesday 3pm
To learn more about how to calculate time, please check: https://brainly.com/question/26290873