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victus00 [196]
3 years ago
14

The sum of a number and fourteen is less than or equal to three times the number

Mathematics
1 answer:
Arlecino [84]3 years ago
6 0
I assume we are writing the equation. The sum of a number and 14 is less than or equal to three times the number.

Let's put in a few values.
The sum of a number = x and + 14 is less than < or equal to = three times 3 * the number.

Now we have: x + 14 is < or = 3 * the number.

We can just remove the "is" and "or", because this is normal math patterns.

x + 14 <= 3 * the number. 

"The Number" is referring to the "a number" at the very beginning. So we can replace that with the same variable.

x + 14 <= 3x
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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us
gregori [183]

Answer and Step-by-step explanation: The null and alternative hypothesis for this test are:

H_{0}: s_{1}^{2} = s_{2}^{2}

H_{a}: s_{1}^{2} > s_{2}^{2}

To test it, use F-test statistics and compare variances of each treatment.

Calculate F-value:

F=\frac{s^{2}_{1}}{s^{2}_{2}}

F=\frac{1.26^{2}}{0.93^{2}}

F=\frac{1.5876}{0.8649}

F = 1.8356

The <u>critical value of F</u> is given by a F-distribution table with:

degree of freedom (row): 20 - 1 = 19

degree of freedom (column): 20 - 1 = 19

And a significance level: α = 0.05

F_{critical} = 2.2341

Comparing both values of F:

1.856 < 2.2341

i.e. F-value calculated is less than F-value of the table.

Therefore, failed to reject H_{0}, meaning there is <u>no sufficient data to support the claim</u> that sham treatment have pain reductions which vary more than for those using magnets treatment.

4 0
3 years ago
Find the output why when the input x is 2 <br><br> y=
Tom [10]

Answer:

2x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Arrange a number line between three and five with 3.5 4.5 3.25 4.25 and 4.75
scZoUnD [109]
3.25, 3.5, 4.25, 4.5, 4.75
8 0
3 years ago
The sum of 3 consecutive even integers is 576. Find the integers
alisha [4.7K]
You can write the equation
x+1+x+3+x+5=576
Combine like terms
3x+9=576
Subtract 9 from both sides
3x+9-9=576-9
3x=567
Divide both sides by 3
3x/3=567/3
x=189
 The first integer is 190, the second is 192 and the third is 194 (enter it into the original equation to get those answers)
4 0
3 years ago
Jason bought 6 movie tickets and four bags of popcorn Michael bought two movie tickets and three bags of popcorn each bag of pop
svlad2 [7]

Answer:

Equation is 8M  + 7P = 131

M = \$12

Step-by-step explanation:

Given

Jason: 6 Movies and 4 popcorn

Michael: 2 Movies and 3 Popcorn

1 Popcorn = $5

Total = $131

Required

- Write an equation to solve

<em>Represent Movie with M and Popcorn with P</em>

For Jason, we have:

6M + 4P

For Michael, we have:

2M + 3P

Add these parameters together

Jason + Michael = $131

6M + 4P + 2M + 3P = 131

Collect Like Terms

6M  + 2M+ 4P + 3P = 131

8M  + 7P = 131

Hence the equation is 8M  + 7P = 131

From the question, we have that

P = \$5

Substitute 5 for P

8M + 7 * 5 = 131

8M + 35 = 131

Solve for M

8M = 131 -35

8M = 96

M = \frac{96}{8}

M = \$12

3 0
3 years ago
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