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3 years ago

Someone please help me with number 16

Mathematics

1 answer:

Zinaida [17]3 years ago

3 0

This is a 45-90-45 triangle so in order to find the answer we have to multiply the hypotenuse, 6, by the square root of 2 or radical 2. Then multiply top and bottom by radical 2. Then simplify.
$\frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2}$

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what is 48 35 26 31 27 52 55 63 18 74 35 61 28 42 76 35 38 64 71 26 53 65 47 41 102 38 35 84 41 26 73 62 35 39 62 49 104 62 54 1

Montano1993 [528]

Answer: 7,824

Step-by-step explanation:

What kind of question is this lol, it took me forever.

6 0

4 years ago

A vending machine accepted any combination of nickels, dimes, and quarters that added to $0.40. How many different combinations

wariber [46]

Answer: 1 quarter, 1 dime and 1 nickel.

Step-by-step explanation:

Quarter: 25 cents.

Dime: 10 cents

Nickel: 5 cents

25 + 10 = 35

35 + 5 = 40

Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.

3 0

4 years ago

Read 2 more answers

)) Find the distance between the points

jek_recluse [69]

Answer:

20 units

Step-by-step explanation:

Distance formula uses the Pythagorean Theorem

Distance D = root ( (9 - (-3))^2 + (10 - (-6) )^2 )

D = root ( 12^2 + 16^2 )

D = root ( 144 + 256) = root (400) = 20

6 0

3 years ago

The weights of the fish in a certain lake are normally distributed with a mean of 19 lb and a standard deviation of 6. If 4 fish

Ipatiy [6.2K]

Answer:

67.30% probability that the mean weight will be between 16.6 and 22.6 lb

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X

Central limit theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 19, \sigma = 6, n = 4, s = \frac{6}{\sqrt{4}} = 3$

If 4 fish are randomly selected, what is the probability that the mean weight will be between 16.6 and 22.6 lb

This is the pvalue of Z when X = 22.6 subtracted by the pvalue of Z when X = 16.6.

X = 22.6

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{22.6 - 19}{3}$

$Z = 1.2$

$Z = 1.2$ has a pvalue of 0.8849

X = 16.6

$Z = \frac{X - \mu}{s}$

$Z = \frac{16.6 - 19}{3}$

$Z = -0.8$

$Z = -0.8$ has a pvalue of 0.2119

0.8849 - 0.2119 = 0.6730

67.30% probability that the mean weight will be between 16.6 and 22.6 lb

4 0

3 years ago

I need help with this asap please :)

n200080 [17]

Blank 1: If y is -5 when x is 2, that means the equation here is y = -2.5x. So, if x is 8, that makes the equation y = -2.5(8), which gives you -20.

Blank 2: If y is 3 when x is 1, the equation will be y = 3x. If x is 2, that will give you y = 3(2), which is 6.

Blank 3: If y is -7 when x is -21, the equation will be x = 3y. If y is 9, that will give you x = 3(9), which is 27.

Blank 4: If y is 5 when x is 4, the equation will be y = 1.25x. If y is 18, that makes the equation 18 = 1.25x, which is 14.4.

I hope this all helped!

7 0

3 years ago