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LUCKY_DIMON [66]
3 years ago
9

The greatest common factor of 30, 48, and 60 is?

Mathematics
2 answers:
Marizza181 [45]3 years ago
8 0

Answer:

6

Step-by-step explanation:

Because 6x5 is 30 and 6x8 is 48 and 6x10 is 60

Natali5045456 [20]3 years ago
5 0

Answer:

6

Step-by-step explanation:

6 goes in 30 5 times.

into 48 six times.

into 60 ten times.

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the sides of a square each have a length of 11x inches write an expression for the perimeter of the square in inches
notsponge [240]

Answer:

  • P = 44x

Step-by-step explanation:

<u>Given </u>

  • a = 11x

<u>Perimeter of a square is:</u>

  • P = 4a

<u>Substitute the value:</u>

  • P = 4(11x) = 44x
4 0
3 years ago
When we toss a coin, there are two possible outcomes: a head or a tail. Suppose that we toss a coin 100 times. Estimate the appr
marin [14]

Answer:

96.42% probability that the number of tails is between 40 and 60.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

100 tosses, so n = 100

Two outcomes, both equally as likely. So p = \frac{1}{2} = 0.5

So

E(X) = np = 100*0.5 = 50

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.5*0.5} = 5

Estimate the approximate probability that the number of tails is between 40 and 60.

Using continuity correction.

P(40 - 0.5 \leq X \leq 60 + 0.5) = P(39.5 \leq X \leq 60.5)

This is the pvalue of Z when X = 60.5 subtracted by the pvalue of Z when X = 39.5. So

X = 60.5

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

Z = \frac{60.5 - 50}{5}

Z = 2.1

Z = 2.1 has a pvalue of 0.9821

X = 39.5

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

Z = \frac{39.5 - 50}{5}

Z = -2.1

Z = -2.1 has a pvalue of 0.0179

0.9821 - 0.0179 = 0.9642

96.42% probability that the number of tails is between 40 and 60.

8 0
3 years ago
True or False: The domain is the input and x-values of a function table.
S_A_V [24]

Answer:

True

The domain is the input and the range is the output.

3 0
3 years ago
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Prove that the difference between squares of consecutive even numbers is always a multiple of 4
jasenka [17]

Answer:

Answer: Proved: the difference between squares of consecutive even numbers is always a multiple of 4. ... From the results above, we can see that 12, 20, and 28 are multiples of 4. Therefore, the difference between squares of consecutive even numbers is always a multiple of 4.

Step-by-step explanation:

5 0
3 years ago
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A ticket to see your favorite baseball team costs ​$43.54. That price decreases by ​$0.33 for every game lost during the regular
jarptica [38.1K]

Answer:

The Price of the ticket will be "30.01"

Step-by-step explanation:

After 41 lost by the team, The price of the ticket will be "13.53".

So Basically you need to subtract "13.53" from the price of a regular ticket.

4 0
3 years ago
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