Gonzalez Family Sprinklers used 15 liters and Walkers Family Sprinklers used 40 liters.
What was the water output rate for each sprinkle?From the information, the Gonzalez family's sprinkler was used for 35 hours. The Walker family's sprinkler was used for 40 hours. There was a combined total output of 2125L of water.
Let Gonzalez = g
Let Walker = w
The equation will be:
g + w = 55 .... i
35g + 40w = 2125 ....
From equation i g = 55 - w
Put the above into equation ii
35g + 40w = 2125
35(55 - w) + 40w = 2125
1925 - 35w + 40w = 2125
Collect like terms
5w = 2125 - 1925
5w = 200
Divide
w = 200 / 5
w = 40
Walkers Family Sprinklers used 40 liters.
Since g + w = 55
g + 40 = 55
g = 55 - 40
g = 15
Gonzalez Family Sprinklers used 15 liters.
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Imagine you wish to determine whether the mean number of hours worked per week by men in a sample differs from the national 40-hour average. Use the information below to calculate the t-statisic. Be sure to also specify the degrees of freedom. Weekly Hours Worked by Men Range 60 Minimum value 5 Maximum value 65 Mean 42.31 Standard deviation 10.00 Number of observations 29
Answer:
Step-by-step explanation:
The sample standard deviation (s) divided by the square root of the number of observations in the sample (n).
Given the frequency table what percentage of the students in grade 11-12 like rock music round to the nearest whole percent
Rap rock country row total
Grades 9-10. 40. 30. 55. 125
Grades 11-12. 60. 25. 35. 120
Column totals. 100. 55. 90. 245
A 10%
B. 21%
C. 25%
D 45%
9514 1404 393
Answer:
B. 21%
Step-by-step explanation:
The number of students in grade 11-12 is given in the total column: 120.
The number of those who like rock music is given in the second column: 25.
Then the percentage in 11-12 grade who like rock music is ...
25/120 × 100% ≈ 20.833% ≈ 21%
Find the zeros of the function: p(x)=(x−1)(x^2−2x−2).
Answer:
x = 6, x = -4
Step-by-step explanation:
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. Assuming that the population standard deviation is 3217kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance
Answer:
The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.
Step-by-step explanation:
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year.
This means that the null hypothesis is:
[tex]H_0: \mu = 10941[/tex]
A local power company believes that residents in their area use more electricity on average than EIA's reported average.
This means that the alternate hypothesis is:
[tex]H_a: \mu > 10941[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
10941 is tested at the null hypothesis:
This means that [tex]\mu = 10941[/tex]
To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. The population standard deviation is of 3217kWh:
This means that [tex]n = 115, X = 11425, \sigma = 3217[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{11425 - 10941}{\frac{3217}{\sqrt{115}}}[/tex]
[tex]z = 1.61[/tex]
Pvalue of the test:
Probability of finding a mean above 11425, which is 1 subtracted by the pvalue of z = 1.61.
Looking at the z-table, z = 1.61 has a pvalue of 0.9463.
1 - 0.9463 = 0.0537
The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.
A bottle contains 750mL of fruit punch with a concentration of 50% pure fruit juice. Johan
drinks 100mL of the punch and then refills the bottle with an equal amount of a cheaper
brand of punch. If the concentration of juice in the bottle is now reduce to 48%, what was
the concentration in the punch that Johan added?
Answer:
The juice concentration in the punch that Johan added was 35%.
Step-by-step explanation:
Since a bottle contains 750mL of fruit punch with a concentration of 50% pure fruit juice, and Johan drinks 100mL of the punch and then refills the bottle with an equal amount of a cheaper brand of punch, if the concentration of juice in the bottle is now reduced to 48%, to determine what was the concentration in the punch that Johan added, the following calculation must be performed:
750 = 100
650 = X
650 x 100/750 = X
65000/750 = X
86,666 = X
86.666 x 0.5 + 13.333 x 0.4 = 0.486662
86.666 x 0.5 + 13.333 x 0.39 = 0.4853287
86.666 x 0.5 + 13.333 x 0.35 = 0.4799955
Thus, the juice concentration in the punch that Johan added was 35%.
Pls Help will give brainliest
2) The angle measures and/or side lengths of a triangle are described. Determine whether the conditions given determine a unique triangle (one triangle), determine more than one triangle, or cannot make a triangle. Explain how you know this.
a) 3 in., 6 in., 10 in.
b) 40°, 65°, 75
For questions 1 - 4, which right triangle congruence theorem can be used to show that the two triangles
are congruent?
8
1.
2.
܂
A
B
3.
܂
4.
A
Step-by-step explanation:
1. SAS
2. HL
3. AAS
4 AAS
2. Name the numerator and the denominator in each fraction.
a.
11/12
b. 7512
C.
12/0
d. 978
Answer:
a. N=11
D=12
b. N=1
D=7512
c. N=12
D=0
d. N= 1
D=978
least common denominator for these two rational expressions, 3/y and
1/7y
Answer:
least common denominator = 7y
Step-by-step explanation:
3/y = 21/7y
1/7y and 21/7y have a least common denominator of 7y.
Please hurry! Timed! What is the scale factor in the dilation?
A. 2/5
B. 1/2
C. 2
D. 2 1/2
The area of a rectangle is given by the tri nominal y^2+4y-45. If the Length of the rectangle is y+9, what is the width of the rectangle
Answer:
width = y - 5
Step-by-step explanation:
area = y^2 + 4y - 45
(y + 9)(y - 5)
For the number line shown, which statement is not true?
Answer:
The answer is The First One, IaI > b
Step-by-step explanation:
No scams. Show your work. write answer as a percent and round the nearest whole number if needed.
Answer:
Step-by-step explanation:
we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex] (where r is the radius, NOT the diameter, easy to confuse)
the radius of the inner circle is 2.5. which is half of the diameter of 5
inner circle = [tex]\pi[/tex]*(2.5)^2
inner circle = 19.6349...
outer circle = [tex]\pi[/tex]*(10^2)
outer circle = 314.1592...
the ratio is 19.6349... / 314.1592... = 0.0625
0.0625 = 6.25%
= 6% ( rounded to nearest whole number )
HELP NEEDED ASAP WILL GIVE BRAINLIEST.NO TROLLS
Answer:
what t f do u need?
Step-by-step explanation:
Answer:
WHATS THE QUESTION
Step-by-step explanation:
Solve for f(-3)
f(x)=5-x
f(-3)= ?
pls helpppp
A store sells 12 cans of soup for $21. How much would it cost you to buy 5 cans of soup?
Answer:
8.75$
Step-by-step explanation:
if 12 cans cost $21
1 can cost $21÷12=1.75$
5 cans = 1.75$ ×5
Find the surface area of a triangle prisms
Answer: 544 sq. inch
Step-by-step explanation:
12 x 8 x 0.5 x 2 + 10 x 14 x 2 + 12 x 14 = 544
Approximately how many gallons are in
7 liters? (1 L -0.26 gal.)
A 1.8 gal
C 7.3 gal
B 6.7 gal
D 46 gal
Answer:
A po ang answer kahit icompute pa po.
Step-by-step explanation:
hope it helps you po!
Please help, brainliest for correct answer
Answer:
800
Step-by-step explanation:
3/4*3.14*(14/2)^3 = 807.77
Answer:
1435.99 rounded.
Step-by-step explanation:
Remark
Just as a note, you would be better off using 22/7 for pi
Formula
V = 4/3 * pi * r^3
Givens
Pi = 3.14
d = 14 units
Solution
r = d / 2
r = 14/2
r = 7
Volume = 4/3 * 3.14 * 7^3
Volume = 1.3333 * 3.14 * 7^3
Volume = 1.3333 * 3.14 * 343
Volume = 1435.99 rounded to the nearest 1/100 th.
ALGEBRA
tell whether the given value is a solution of the equation. (yes or no)
1. x+16=20;x+4
2. p-4+28;p+32
3. 4w+44;w=10
4. y/6= 6;y=24
Step-by-step explanation:
1. yes 4+16 = 20
2. yes 32 - 4 = 28
3. yes 4(10) = 40
4. no 24/6 = 4
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
1.yes
2.yes
3.yes
4.no
HELP PLEASEEEEEE IM BEGGING YOUUU (question): Linda is making a line plot of the data below.
11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12
Which line plot represents the data correctly?
A.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 3 dots. 12 has 1 dot. 12.5 has 1 dot. 14.125 has 1 dot.
B.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 2 dots. 12 has 1 dot. 12.5 has 1 dot. 14.125 has 1 dot.
C.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 3 dots. 12 has 1 dot. 12.5 has 1 dot. 13.75 has 1 dot.
D.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 3 dots. 12 has 1 dot. 14.125 has 1 dot. ( PLEASE ANSWER ASAP) (i already made this question once pls dont get it wrong again) ill give 60 if correct!!
The answer is D ...........
Answer:
the answer is Actually A believe me i did the test
Step-by-step explanation:
Mrs. Sleet said he was skinny as a rail and it looked like he hadn’t been ___
right. She gave
him his first pair of _____
please fill in the blank this is from buddy not buddy chapter 11 :)
please help
Answer:
fed, slippers
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Select all of the solutions to the original equation X=4X equals -16 X equals minus 4X equals 16 X equals minus 8X equals minus 1X equals one X equals eight
Answer: i don´t know the answer sorry
Step-by-step explanation:
Please help take a look at this photo will give Brainly
Answer:
60 degrees
Step-by-step explanation:
On the diagram, we can see that the two angles have a dash on each of them. This means that they have the same measure.
So, if angle ABD is 60 degrees, then angle DBC would also be 60 degrees.
I hope this helps!
$1400 is placed in account with an animal interest-rate of 7.25% to the nearest 10th of a year how long will it take for the account value to reach 4600$
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP HELP HELP HELP - A right triangle has a leg length of 21 inches and a hypotenuse length of 29 inches. What is the length of the other leg? *
Answer:
[tex]20[/tex]
Step-by-step-Explanation:
Remember, the Pythagorean Theorem.
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]21^{2} + b^{2}=29^{2}[/tex]
[tex]29^{2} -21^{2} =400[/tex]
sq rt of [tex]400=20[/tex]
If a whole pan of brownies is being sold for $16, how much it cost to purchase 3/4
of the pan?
Answer:
$12
Step-by-step explanation:
We have to do this operation:
(16/4) x 3 = 4 x 3 = $12
Answer:
It will cost $12 to purchase 3/4 of the pan of brownies
Step-by-step explanation:
3/4 of 16 is equal to 12.
Hope this helps! Pls mark brainliest
WILL GIVE BRAINLIEST HELP
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