Answer:
C,H,I..............
Tanya has 26 quarters and 18 dimes.
Given that Tanya has 44 quarters and dimes which worth $8.30, we need to find the number of each coin type,
To find the same we will use the concept of system of Linear equations,
Let's solve this problem step by step.
Let's assume Tanya has x quarters and y dimes.
The value of x quarters is 25x cents.
The value of y dimes is 10y cents.
According to the given information, the total value of the quarters and dimes is $8.30, which is equivalent to 830 cents. So we have the equation:
25x + 10y = 830 ...........(Equation 1)
Tanya has 44 coins in total:
x + y = 44 ...........(Equation 2)
Now, we can solve this system of equations (Equation 1 and Equation 2) to find the values of x and y.
Multiplying Equation 2 by 25, we get:
25x + 25y = 1100 ...........(Equation 3)
Subtracting Equation 3 from Equation 1, we eliminate the x term:
25x + 10y - (25x + 25y) = 830 - 1100
-15y = -270
Dividing both sides by -15, we get:
y = (-270)/(-15) = 18
Substituting the value of y back into Equation 2, we can find x:
x + 18 = 44
x = 44 - 18 = 26
Therefore, Tanya has 26 quarters and 18 dimes.
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Note: Not drawn to scale
Parallel lines are defined to be two lines that will never intersect even when they go on infinitely. Think of it like railroad tracks. The rails must always be parallel, or the train will gets stuck. By observing lines L and M, you'll notice both lines make perfect railroad tracks, and they will never intersect. These lines are parallel.
Answer:
She washed 21 cars
Step-by-step explanation:
Answer:
Jan washed 21 cars
Step-by-step explanation:
120.75 / (Divided) 5.75=21
If you were to times 5.75 by 21 you will get the amount she rasied at the car wash
Pour answer
I
Answer:
ea
Step-by-step explanation:
ffh
The value of x for the given triangle side in the parallelogram will be 4.
A basic quadrilateral with two sets of parallel sides is known as a parallelogram.
A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
The area of a parallelogram is given as,
(1/2)(sum of parallel sides)(distance between parallel lines)
Area of parallelogram = (1/2)(14 + 14)(10) = 140 square meter.
The area of the right angle triangle = (1/2)base x height.
Area of triangle = (1/2)x × 10 = 5x
Total area = 140 + 5x
160 = 140 + 5x
5x = 20
x = 4
Hence "The value of x for the given triangle side in the parallelogram will be 4".
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The given question is missing a parallelogram as attached below,
Answer:
80x2
Step-by-step explanation:
.
a. Z-test of a population mean
b. Z-test of a population proportion
c. t-test of population mean
d. t-test of a population proportion
The Z-test of a population mean is used here because it is given that the population standard deviation is $75. The correct option is a).
Given :
Let is the daily average revenue. So:
Null Hypothesis is,
The Alternate Hypothesis is,
Here, the Z-test of a population mean is used because it is given that the population standard deviation is $75.
where is the sampleaverage revenue, is the standard deviation and n is the sample size.
Therefore, the correct option is a).
For more information, refer to the link given below:
Answer:
We would use Z-test of a population mean.
Step-by-step explanation:
We are given that an entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625.
And we have to test the hypothesis that the daily average revenue was $675.
Firstly, as we know that testing is always done on the population parameter.
So, let = daily average revenue over the pat 5 years
So, Null Hypothesis, : = $675
Alternate Hypothesis, : $675
Here, null hypothesis states that the owner's claim of average daily revenue was $675 over the past 5 years is correct.
And alternate hypothesis states that the owner's claim of average daily revenue was $675 over the past 5 years is not correct.
The test statistics that will be used here is Z-test of a population mean because here we have knowledge of population standard deviation of $75.
Test statistics = ~ N(0,1)
where, = sample average revenue = $625
= population standard deviation = $75
n = sample of days = 30
Therefore, to test the null hypothesis that the daily average revenue was $675, we should use Z-test of a population mean.