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3 years ago

Find the missing measure if a and b are the legs of the right triangle and c is the hypotenuse, with a = 11 and c =18.

Mathematics

2 answers:

marishachu [46]3 years ago

5 0

Answer 16

Step-by-step explanation:

never [62]3 years ago

3 0

Answer:

$\sqrt{203}$

Step-by-step explanation:

1. $11^{2} + b^{2} = 18^{2}$

2. $b^{2} =203$

3. b = $\sqrt{203}$

Can't be simplified.

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3 years ago

How much water should we add to 5 gallons of 18% acid solution to dilute it to a concentration of 10%?

KIM [24]

4 gallons of water is needed to dilute to a concentration of 10%.

<u>Step-by-step explanation:</u>

It is given that,

The 5 gallons of water contains 18% of acid solution.

Now, we are asked to find the gallons of water needed to dilute it to a concentration of 10% acid solution.

We obtain the equation by stating that the amount of acid 10% in the water must dilute up to 18%.

For this, x amount of water should be added.

Therefore, the equation is framed as,

⇒ 0.1 (x+5) = 5 (0.18)

⇒ 0.1x + 0.5 = 0.9

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⇒ x = 0.4 / 0.1

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4 years ago

State the null and alternative hypotheses for the statistical test described below. Your answer should be an expression composed

Artyom0805 [142]

Answer:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p>0.3$

Step-by-step explanation:

For this question we need to take in count that the the claim that they want to test is "if the proportion is greater than 0.3". Our parameter of interest for this case is $p$ and the estimator for this parameter is given by this statistic $\hat p$ obtained from the info of sa sample obtained.

The sample proportion would be given by:

$\hat p = \frac{X}{n}$

Where X represent the success and n the sample size selected

The alternative hypothesis on this case would be specified by the claim and the complement would be the null hypothesis. Based on this the system of hypothesis for this case are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p>0.3$

And in order to check the hypothesis we can use the one sample z test for a proportion with the following statistic:

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

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3 years ago

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ivanzaharov [21]

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Step-by-step explanation:

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