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3 years ago

The sum of two numbers is at most 6, and one of the numbers is -2

Mathematics

2 answers:

WARRIOR [948]3 years ago

3 0

Since one of the numbers is -2, we can determine that the other number is 8

-2 + 8 = 6

Hope this helps

-AaronWiseIsBae

Lisa [10]3 years ago

3 0

Answer:

The number can be anything equal then or less than 8.

Step-by-step explanation:

The sum of two numbers is at most 6 (note, one of the numbers is -2), meaning:

x + (-2) ≤ 6

Isolate the x. Add 2 to both sides

x - 2 (+2) ≤ 6 (+2)

x ≤ 6 + 2

x ≤ 8

The number can be anything equal then or less than 8.

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Solve by using square roots. 6x^2−27=39

Bingel [31]

Answer:

Simplifying

x = 11

Step-by-step explanation:

Simplifying

6x + -27 = 39

Reorder the terms:

-27 + 6x = 39

Solving

-27 + 6x = 39

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '27' to each side of the equation.

-27 + 27 + 6x = 39 + 27

Combine like terms: -27 + 27 = 0

0 + 6x = 39 + 27

6x = 39 + 27

Combine like terms: 39 + 27 = 66

6x = 66

Divide each side by '6'.

x = 11

Simplifying

x = 11

6 0

3 years ago

A tree measured 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a height of 57 feet. During the 7 1/2 years, what was th

Elenna [48]

The average yearly growth rate of the height of the tree was 2.2 feet per year during the 7 1/2 years.

3 0

3 years ago

What number gives a result of −8 when 11 is subtracted from the quotient of the number and 6?

natima [27]

It is thirteen because you have to add to 6 till you get eleven and you go up 8 more and then you subtract it all and get your answer

4 0

3 years ago

Janette went to Tire Mart and paid $122.57 per tire for 4 tires and a flat rate fee for installation for a total of before taxes

storchak [24]

136.71-122.57=14.14 BUTTT 136.71+58=194.71

194.71-122.57=72.14

so its 72.14 (if multiple choice question and thats not on there, do 14.14 ONLY IF)

4 0

3 years ago

A researcher tests five individuals who have seen paid political ads about a particular issue. These individuals take a multiple

devlian [24]

Answer:

$t=\frac{46-40}{\frac{5.148}{\sqrt{5}}}=2.606$

The degrees of freedom are given by:

$df=n-1=5-1=4$

The p value wuld be given by:

$p_v =2*P(t_{(4)}>2.606)=0.060$

For this case the p value is higher than the significance level so then we can conclude that the true mean is not significantly different from 40

The distribution with the critical values are in the figure attached

Step-by-step explanation:

Information given

48, 41, 40, 51, and 50

The sample mean and deviation can be calculated with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=46$ represent the mean height for the sample

$s=5.148$ represent the sample standard deviation

$n=5$ sample size

$\mu_o =40$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis to test

We want to test if the true mean for this case is equal to 40, the system of hypothesis would be:

Null hypothesis: $\mu = 40$

Alternative hypothesis: $\mu \neq 40$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing we got:

$t=\frac{46-40}{\frac{5.148}{\sqrt{5}}}=2.606$

The degrees of freedom are given by:

$df=n-1=5-1=4$

The p value wuld be given by:

$p_v =2*P(t_{(4)}>2.606)=0.060$

For this case the p value is higher than the significance level so then we can conclude that the true mean is not significantly different from 40

The distribution with the critical values are in the figure attached

6 0

3 years ago