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romanna [79]
2 years ago
7

What is the solution set of the quadratic inequality?

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

Answer:

\large\boxed{\{x\ |\ -\sqrt5\leq x\leq\sqrt5\}}

Step-by-step explanation:

x^2-5\leq0\qquad\text{add 5 to both sides}\\\\x^2\leq5\iff x\leq\sqrt5\ \wedge\ x\geq-\sqrt5\Rightarrow-\sqrt5\leq x\leq\sqrt5

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Help please bad please ​
Sergio [31]

Answer:

\displaystyle A .20

Step-by-step explanation:

<u>By </u><u>tangent</u><u> </u><u>theorem</u><u> </u>we acquire:

\displaystyle  x + 10 = 9 + 21

simplify addition:

\displaystyle  x + 10 = 30

cancel 10 from both sides:

\displaystyle  x = 20

hence,

our answer is A

4 0
2 years ago
At birth, one puppy weighs 15/16 pounds. A second puppy weighs 1 and 1/8 pounds. How much more did the second puppy weigh?
zvonat [6]

Answer:

3/16 pounds more.

Step-by-step explanation:

It is 1 1/8 - 15/16

= 9/8 - 15/16

= 18/16 - 15/16

=  3/16.

5 0
1 year ago
A random sample of 40 binomial trials resulted in 14 successes. test the claim that the population proportion of successes does
mylen [45]

Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, we test if the proportion of successes equals 0.5, hence:

H_0: p = 0.5

At the alternative hypotheses, we test if it does not equal, hence:

H_1: p \neq 0.5

<h3>What is the test statistic?</h3>

The test statistic is given by:

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

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are given by:

n = 40, \overline{p} = \frac{14}{40} = 0.35, p = 0.5

Hence the test statistic is given by:

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

z = (0.35 - 0.5)/(0.5/sqrt(40))

z = -1.9.

<h3>What is the decision?</h3>

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.

Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ4

5 0
1 year ago
A treasure chest sinks at a rate no less than 20 feet per second. The floor of the ocean is at most at -4,200 feet. Will the tre
Nadya [2.5K]
No, it would only reach -3600 feet
4 0
3 years ago
A rectangle has a length of (x+4) feet and a width of (+7) feet. The expression 2(x+4)+2(x+7) represents the perimeter of the re
Marta_Voda [28]

Answer:

(x+4)+(x+4)+(x+7)+(x+7)

4 0
2 years ago
Read 2 more answers
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