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kipiarov [429]
2 years ago
12

Solve (x-2<5) u (x+7>6)

Mathematics
1 answer:
grin007 [14]2 years ago
4 0

x= | 1 < x < 3

x + 2 < 5 and x - 7 > -6

x < 5 - 2 and x > -6 + 7

I don't know if I am 100% right.

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This is fairly easy yet i cannot do this
ICE Princess25 [194]

Answer:

( -9, -6)

Step-by-step explanation:

The red dot is the original (6, 9)

The blue dot is when it is rotated 270 degrees clockwise (-9, -6).

7 0
2 years ago
At the kennel, the ratio of cats to dogs is 4:5. There are 27 animals in all.
SpyIntel [72]

Answer:

I don't know how to answer the first question

There are 15 dogs in the kennel

There are 12 cats in the kennel

Explanation:

If there is a 4 to 5 ratio then

12 cats to 15 dogs is linear

3 0
3 years ago
Use the given information to find the p​-value. ​Also, use a 0.05 significance level and state the conclusion about the null hyp
Hatshy [7]

Answer:

We can assume that the statistic is z_{calc}=0.78

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

Step-by-step explanation:

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:  

Null hypothesis:p=3/5  

Alternative hypothesis:p \neq 3/5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

We can assume that the statistic is z_{calc}=0.78

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

7 0
3 years ago
Solve for x: |x − 2| + 10 = 12 (1 point)
Mrrafil [7]

Answer::

A. x= 0 and x= 4

8 0
2 years ago
1) Refer back to Lesson 2, Part A. Assume that the average shoulder width of the people in the line was 1.325 feet. How long wou
igor_vitrenko [27]

Answer:

13,250,000 feet or 13.25 million feet

Step-by-step explanation:

Each person in the line has a shoulder width of 1.325 feet.

For each person, there is a width of 1.325 ft. There are 10 million people.

Since:

10 million = 10,000,000

The total length must be:

1.325 * 10,000,000

1.325 * 10,000,000 = 13,250,000

Answer: 13,250,000 feet or 13.25 million feet

4 0
2 years ago
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