Which expression is equivalent to (6^-2)^3
Sarah Turned on the soaker hose in her flower bed. The hose releases 192 gallons of water every 4 hours. If she leaves the hose on for 30 minutes how much water will be used?
Answer:
24 gallons
Step-by-step explanation:
set up a proportion and cross-multiply:
g = # gallons
192/4 = g/0.5*
4g = 96
g = 24
*30 minutes = 0.5 hours
The first sequence rule is multiply by 2 starting from 7. The second sequence rule is add 2 starting from 8. What is the first number that appears in both sequences?
Question 3 options:
10
14
18
28
The first and the second sequence are arithmetic and geometric sequence, respectively
The first number in both sequences is 14
How to determine the first number?From the question, we have the following rules
Rule 1Start = 7
Multiply by 2
Rule 2Start = 8
Add = 2
So, the numbers in the sequence are:
Rule 1: 7, 14, 28, 56......
Rule 2: 8, 10, 12, 14, .....
By comparing the numbers in the sequence, we can see that the first number in both sequences is 14
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Salaries for various positions can vary significantly, depending on whether or not thecompany is in the public or private sector. The U.S. Department of Labor posted the2007 mean salary for human resource managers employed by the federal governmentas $76,503. Assume the annual salaries for this type of job are normally distributedand have a standard deviation of $8850.a)What is the probability that a randomly selectedhuman resource manager received over $100,000in 2007?
Answer:
0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.
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.
Mean of 76503, standard deviation of 8850.
This means that [tex]\mu = 76503, \sigma = 8850[/tex]
a)What is the probability that a randomly selected human resource manager received over $100,000 in 2007?
This is 1 subtracted by the pvalue of Z when X = 100000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{100000 - 76503}{8850}[/tex]
[tex]Z = 2.66[/tex]
[tex]Z = 2.66[/tex] has a pvalue of 0.9961
1 - 0.9961 = 0.0039
0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.
Express the following as a single fraction in its simplest form: 12/y x y/3x
Answer:
by cancellation method we can cancel both the y's
so the leftover digits are, 12/3x
when simplifying, we will get 4/x
∴ the final answer is 4/x
hope this answer helps you.....
HELP PLEASE!!!!!!!!!!!
Answer:
x = 4
Step-by-step explanation:
7.5 + 7.5 = 15
[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]
cross multiply
15x = 60
divide
x = 4
or
since the bigger one is 2x smaller
8/2 = 4
find the value of x
help pleaee
Answer:
x = 180 - 57 - 79 = 44°
. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points
Answer:
45
Step-by-step explanation:
I just took test and got 100%Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?
Answer:
231 dollars
Step-by-step explanation:
216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231
brainliest plz
You roll a 6-sided die. What is P(even)?
If 25% is 14, what is 100%?
Answer:
56
Step-by-step explanation:
25% = 14
Therefore,
25%*4 = 14*4
100% = 56
3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3
Answer:
D. -3
Step-by-step explanation:
Sana nakatulong
A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test?
a. H0:β1=0 Ha:β1≠0
b. H0:β1=0 Ha:β1>0
c. H0:β1=0 Ha:β1<0
d. H0:β1≠0 Ha:β1=0
e. H0:b1=0 Ha:b1≠0
The correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The correct hypotheses for testing the linear relationship between two variables can be stated as:
H0: β1 = 0 (there is no linear relationship between the number of contacts and the number of texts sent)
Ha: β1 ≠ 0 (there is a linear relationship between the number of contacts and the number of texts sent)
Therefore, the correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0
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PLEASE HELP I ONLY HAVE AN HOUR LEFT !!!!!!
Answer:
1,3, and 4
Step-by-step explanation:
21.79 + x = 25
make sure to do a explanation
Answer:
x= 3.21
Step-by-step explanation:
25- 21.79= 3.21
the equation equals to 25 so you need to find what x is by subtracting the other value
Hope this helps
pls help me giving brainless.
here's the question
Answer:
it is 2
Step-by-step explanation:
pls make me blanliest
Sometimes Zach's teammates arrive late to basketball practice. The following dot plot shows how many times each teammate was late to practice last week.
Find the mean number of times Zach's teammates were late to practice last week.
BRAINLIEST!!!!!
Answer:
3.5.
Step-by-step explanation:
Zach's teammates were late to practice last week. According to Khan Academy the answer is 3.5.
The mean number of times Zach's teammates were late to practice last week is 3.5
What is dot plot?A dot plot visually groups the number of data points in a data set based on the value of each point.
Given that, the following dot plot shows how many times each teammate was late to practice last week.
We need to find mean,
Total elements = 2 + 4 + 4 + 4 = 14
Data points = 4
Mean = 14 / 4 = 3.5
Hence, the mean number of times Zach's teammates were late to practice last week is 3.5
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Pls help mark barinlist
Answer:
okay sure Barnyst comingup
Step-by-step explanation:
Writing Activity: Analysis.
Several major events occur in Black Ships Before Troy. Choose one event to analyze, explaining how the plot unfolds and how the characters respond or change. Be sure to cite evidence from the text.
First, summarize the key event and the conflict that takes place.
Take notes on what the main characters are like and what they think and do.
Use your summary and notes as you write your essay. Include evidence from the text to support your ideas
Answer:
12345678910111213141516171819202122232425262728293031323334353637383940142434445446
Step-by-step explanation:
my name jeff
In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.
Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Randomly select 10 cars
This means that [tex]n = 10[/tex]
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]
Calculate the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]
[tex]t = 3.24[/tex]
The test statistic is t = 3.24.
which is equivalent to 3/8^1/4? 8^3/4
A.10
B.6
C.5
D.2
Answer:
B I'm pretty sure..............
help me plz...............
Answer:
2. 7.6
3. .057
4. Nine and three tenths
5. Forty two hundredths
6. Ninety two thousandths
Step-by-step explanation:
Answer:
1. 0.16
2. 7.6
3. 0.057
4. nine and three tenths
5. forty two hundredths
6. ninety two thousandths
I hope this helped
How much simple interest would Alexis earn if he deposits $2450 in a savings account with a simple interest rate of 12% for 15 years.
Answer:
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀
Step-by-step explanation:
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
Pls answer i will give brainliest pls
Answer:
B
Step-by-step explanation:
In the slope intercept equation of the line the number that not multiplies the x or the y indicates where the line intercept the y axis
so in this cas the line intercept the y axis in the point (0,2)
so the answer is B
2 = x - 3
whats the answer?
Answer:
x=1
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
Answer:
5
Step-by-step explanation:
We need to find the value of x
add 3 to both sides
5= x
so 5
Help me pls I really need help
I think is 200 minutes
Find the surface area of the prism
Answer:
192 km²
Step-by-step explanation:
Surface Area of the triangular prism = 2(Base Area) + Perimeter of Base*height of the prism
✔️Base Area = ½*bh
b = 6 km
h = 8 km
Base area = ½*6*8 = 24 km²
✔️Perimeter of base = 6 + 8 + 10 = 24 km
✔️Height of prism = 6 km
Plug in the values into the equation:
Surface area = 2(24) + 24*6 = 48 + 144
Surface area = 192 km²
PLEASE HELP ME !!
acellus : chords and arcs find the value of x
Answer:
8Step-by-step explanation:
since all the sides are equal then that means that x is going to equal 8.
Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
Write your answer as a coordinate point (hats, profit). HELP PLZ WHAT ARE THE EQUATIONS??
9514 1404 393
Answer:
(8, 1)
Step-by-step explanation:
Let x represent the number of hats sold by each seller.
__
Kenny's cost: $3
Kenny's revenue: $0.50x
Kenny's profit = revenue - cost: y = 0.50x -3
__
Ben's cost: $1
Ben's revenue: $0.25x
Ben's profit = revenue - cost: y = 0.25x -1
__
The profit and sales will be the same when the same (x, y) values satisfy both profit equations.
y = 0.50x -3
y = 0.25x -1
0.50x -3 = 0.25x -1 . . . . . substitute for y
0.25x = 2 . . . . . . . . . . . add 3-0.25x
x = 8 . . . . . . . . . . multiply by 4
y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation
The profit and sales will be the same for ...
(hats, profit) = (8, 1)