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Alborosie
3 years ago
12

solve each inequality using addition and subtraction and graph it's solution set on a number line x + 8 > 14

Mathematics
2 answers:
faltersainse [42]3 years ago
7 0
X+8>14

Subtract 8 from both sides-
x>6

Do you need help with the graphing part too?
Svetach [21]3 years ago
6 0

Hi there!

Step-by-step explanation:

First, you subtract by 8 from both sides of an equation.

x+8-8>14-8

Then, you subtract by the numbers from left to right.

14-8=6

The answer must have a positive sign.

<u><em>Answer: →→ x>6</em></u>

Hope this helps!

Have a nice day! :)

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5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g
anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1117}{10} = 111.7

Sum of squares of differences = 642.1

S.D = \sqrt{\frac{642.1}{49}} = 8.44

We are given the following in the question:  

Population mean, μ = 106

Sample mean, \bar{x} = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

H_{0}: \mu = 106\\H_A: \mu > 106

We use one-tailed(right) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135

Now,

t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833

Since,                  

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0
3 years ago
Write y=-3/4x+3 in standard form using integers
ArbitrLikvidat [17]

Answer:

12x+3  /  4x


Step-by-step explanation:


4 0
4 years ago
THE CORRECT ANSWER IS 12 FAVORS!!
Leona [35]

Answer:

yes the answer in 12 fpavers

Step-by-step explanation:

wa

5 0
3 years ago
A 4.5 kg cat requires medication at a dose rate of 5 mg/kg once daily for the next 7 days. The tablets are available in 10 mg st
Marta_Voda [28]

Answer:

<u>Approximately 16 tablets of medicine</u>

Step-by-step explanation:

Based on the information above , we can use a <u>Rule of Three</u> to first figure out how many mg the cat would need to ingest per day.

\frac{5mg}{1kg} = \frac{x}{4.5kg}

\frac{5mg*4.5kg}{1kg} = 22.5mg

Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

22.5 / 10 = 2.25

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

2.25 * 7 = 15.75

She would need to take<u> approximately 16 tablets of medicine</u> during the week .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0
3 years ago
Plz help it would mean a lot
lina2011 [118]

Answer:

proportional/equal

Step-by-step explanation:

doesnt need

6 0
3 years ago
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