Brand B costs less for 6 packs of compost. It costs $5.99 less.
To discover which brand costs less for 6 sacks of compost, let's calculate the fetched of 6 packs of each brand:
Brand A:
6 sacks * $2.99/bag = $17.94
Brand B:
y = 1.99x
For 6 packs of compost, x = 6:
y = 1.99 * 6 = $11.94
In this manner, Brand B costs less for 6 sacks of compost, and it costs $5.99 less.
Brand B costs less for 6 packs of compost. It costs $5.99 less.
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Answer: 0.0010
Step-by-step explanation:
Given the following :
Population Mean(m) = 4.2 years
Sample mean (s) = 3.9
Standard deviation (sd) = 0.6
Number of samples (n) = 38
Calculate the test statistic (z) :
(sample mean - population mean) / (sd / √n)
Z = (3.9 - 4.2) / (0.6 / √38)
Z = (- 0.3) / (0.6 / 6.1644140)
Z = -0.3 / 0.0973328
Z = - 3.0822086
Z = - 3.08
From the z table :
P(Z ≤ - 3.08) = 0.0010
The probability that the mean replacement time of a random sample of 38 laptops is 3.9 years or less, assuming the true mean replacement time is 4.2 years, is approximately 0.0038 or 0.38%
To solve this problem, we will use the formula for the Z score of a sample mean:
Z = (x - µ) / (σ/ √n)
In this case, the mean µ is 4.2 years, the standard deviation σ is 0.6 years, the sample mean x is 3.9 years, and the sample size n is 38.
Substituting the given values into the formula, we get:
Z = (3.9 - 4.2) / (0.6/√38) = -2.67.
We can then look up this Z score in the Z score table or use statistical software to find the corresponding probability. The probability associated with Z = -2.67 is approximately 0.0038. This means there's about a 0.38% chance that the mean replacement time of a random sample of 38 laptops will be 3.9 years or less, assuming the true mean replacement time is 4.2 years.
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Answer:
It measures the probability of observing your test statistic, assuming the null hypothesis is true.
Step-by-step explanation:
The p-value, also known as the probability value measures the probability of observing your test statistic, assuming the null hypothesis is true.
A low p-value means a higher chance of the null hypothesis to be true.
It lies between 0 and 1. A small p-value indicates fewer chances of the null hypothesis to be true.
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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The first questionsanswer:
Given (0, -4), 4x - y = 7. I converted the equation into slope intercept form and I got: y = 4x - 7. Once I had gotten that I put (0, -4) and the equation into Point-Slope Form and solved it: y - (-4) = 4(x + 0), y + 4 = 4x, y = 4x - 4 is the slope intercept form of your equation and point :)
Answer:
14
Step-by-step explanation:
2^3=8
6^1=6
8+6=14
Answer:
2^3+6^1
8+6
14
Step-by-step explanation:
2^3 can be expanded to 2x2x2 which equals 8
6^1 can be expanded to 6x1 which is 6
2^3+6^1 can be simplified to to 8+6
8+6 is 14