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lorasvet [3.4K]
3 years ago
15

Find the length of the third side. If necessary, write it in simplest radical form.

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

a = sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 +3^2 = 4^2

a^2 +9 = 16

a^2 = 16-9

a^2 = 7

Taking the square root

a = sqrt(7)

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A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are d
Kipish [7]

Answer:

z=\frac{0.05 -0.06}{\sqrt{\frac{0.06(1-0.06)}{97}}}=-0.415  

Now we can find the p value with the following probability:

p_v =P(z  

Step-by-step explanation:

Information given

n=97 represent the random sample taken

\hat p=0.05 estimated proportion of defective

p_o=0.06 is the value to verify

z would represent the statistic

p_v represent the p value

Hypothesis to tests

We want to tet if the true proportion is less than 6%, the system of hypothesis are:  

Null hypothesis:p\geq 0.06  

Alternative hypothesis:p < 0.06  

The statistic is given by:

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

Replacing the info given we got:

z=\frac{0.05 -0.06}{\sqrt{\frac{0.06(1-0.06)}{97}}}=-0.415  

Now we can find the p value with the following probability:

p_v =P(z  

3 0
3 years ago
Round off 10001 to nearest 1000​
oksano4ka [1.4K]

Answer:

The answer is 10,000

3 0
3 years ago
A tank can contain 40 gallons of gas, but it is not completely full. How much gas is in the tank if 6.5% of the tank is empty?
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To find this, we have to multiply the total amount of gas the tank can hold (40 gallons) by how much gas is in the tank (93.5% or .935 as a decimal). When we do this we get the amount of gas 37.4 gallons.
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3 years ago
Annabelle went to the grocery store and bought bottles of soda and bottles of juice.
lora16 [44]

Answer:

120 = 3y + t

Step-by-step explanation

because you purchase 3 times as many y then t. Overall, your answer should end up as 120 by using an equation like this.

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What is the value of the expression (−2 4/5)÷(−1.4)
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Answer:

2

Step-by-step explanation:

3 0
4 years ago
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