Answer:
4x+1
Step-by-step explanation:
Ok, so it will be easier to write it out. "The sum of one and the product of four and x" written out is like this: 4x+1, because 4 is the coefficient with x. I am assuming you need the algebraic expression. Hope this helps!
There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
<h3>What is a statistical hypothesis?</h3>
A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:
The null hypothesis:
![\mathbf{H_o \leq 283}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_o%20%5Cleq%20283%7D)
The alternative hypothesis:
![\mathbf{H_i > 283}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_i%20%3E%20283%7D)
From the population deviation, the Z test for the true mean can be computed as:
![\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}](https://tex.z-dn.net/?f=%5Cmathbf%7BZ%20%3D%20%5Cdfrac%7B%5Chat%20X%20-%20%5Cmu%20_o%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%7D)
![\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}](https://tex.z-dn.net/?f=%5Cmathbf%7BZ%20%3D%20%5Cdfrac%7B283%20-280%7D%7B%5Cdfrac%7B37%7D%7B%5Csqrt%7B87%7D%7D%7D%7D)
Z = 0.756
Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:
P(z > 0.756)
P = 0.225
Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
Learn more about hypothesis testing here:
brainly.com/question/16251072
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Answer:
The square root of 244 is 15.62 ( up-to 2 decimal places)
Step-by-step explanation:
Following is the division method for square root of 244 with rules as follows:
- Make pairs of the given digit starting from right (unit place). They will be calculated one by one as formed in pairs/singles.
- Digit added for divisor and quotient will be same at each step.
- Each next dividend will be formed by subtracting product of divisor and quotient from first digit/pair.
- Each next divisor will be formed by taking two times of previous quotient and annexing it with suitable digit that gives equal to or less than the dividend.
Following solution gives square root of 244:
I hope it will help you!
Answer:
- 6 bunches of bananas
- 7 pounds of apples
Step-by-step explanation:
We have to assume that a "piece of fruit" is either a bunch of bananas or a pound of apples. Without that assumption, there is insufficient information to work the problem.
Let B represent the number of bunches of bananas. Then 13-B is the number of pounds of apples. The total cost is ...
6B +8(13 -B) = 92
-2B + 104 = 92 . . . . . eliminate parentheses
B = -12/-2 = 6 . . . . . . subtract 104, then divide by the coefficient of B
13-B = 7 . . . . . . . . . . . the number of pounds of apples
The customer bought 6 bunches of bananas and 7 pounds of apples.
_____
<em>Comment on the solution</em>
You will note that finding the value of the variable involved arithmetic with negative numbers. If you want the numbers to stay positive, then you can choose the variable to represent <em>the most expensive</em> of the items: the number of pounds of apples.