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3 years ago

15

Find the gcf of 40 and 60 listing factors for each number in order from least to greatest. report each list of factors, and then

the gcf.

1 answer:

Olegator [25]3 years ago

8 0

Factors of 40: 1,2,4,5,8,10,20,40
Factors of 60: 1,2,3,4,5,6,10,12,15,20,30,60
Greatest common factor of both is 20.

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The forumla f = 3y yards y to feed f and f = (n/12) converts inches n to feet f. write a composition of functions that converts

Solnce55 [7]

Equating the two formulas for f, you have
n/12 = f = 3y
Then multiplying by 12 you get
n = 36y

This formula converts yards (y) to inches (n).

5 0

3 years ago

P(X< ) 1-P(X> ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball

Mashutka [201]

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

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:

$n = 30, p = 0.626$

So

$\mu = E(X) = np = 30*0.626 = 18.78$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65$

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is $P(X \leq 16 + 0.5) = P(X \leq 16.5)$ , which is the pvalue of Z when X = 16.5. So

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

$Z = \frac{16.5 - 18.78}{2.65}$

$Z = -0.86$

$Z = -0.86$ has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

7 0

3 years ago

Shondra buys a bedroom suite on the in-stallment plan. She makes a down payment of $200 and monthly payments of $52 each for thr

Dmitry [639]

Answer:

$2072

Step-by-step explanation:

Note that:

1 year = 12 months

Hence:

1 year = 12 months

3 years = x months

Cross Multiply

x = 3 × 12

x = 36 months

She makes a down payment of $200 and monthly payments of $52 each for three years.

Her total cost is represented by the expression

= $200 + $52 × m

Where m = number of monthly payments.

$200 + $52 × 36

= $200 + $1872

= $ 2072

7 0

3 years ago

F(x) = x2. What is g(x)?

wolverine [178]

Answer:

A

Step-by-step explanation:

when x=2,g(x)=2

g(x)=(2)²/2=2

which is correct.

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2 years ago

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OleMash [197]

Hi, yes ive been struggling with like terms.

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3 years ago