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KonstantinChe [14]
3 years ago
10

2x-5y=15 -2x-3y= -23

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0
Y = 1 and x = 10

To solve this you cancel out the x's and get -8y=-8.
You find y as 1, plug it back into the equation to get 2x-5=15. Solve and get x=10.
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a baseball helmet cost $42 coach Rodger said he would pay $274 for 7 helmets is the exact answer reasonable
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No cause if I helmet cost $42 , 7 helmets will be $294.
$42 = 1 helmet
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MATH HELP PLEASE! (show work)
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John has one rope that is 48 feet long. How many 8-foot pieces of rope can John make out of his one rope?
Over [174]

Answer:6

Step-by-step explanation:

Total length=48feet

How many 8 foot can be gotten from the total length

48 ➗ 8=6

3 0
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2 years ago
Of the total population of the United States, 20% live in the northeast. If 200 residents of the United States are selected at r
Snezhnost [94]

Answer:

0.0465 = 4.65% probability that at least 50 live in the northeast.

Step-by-step explanation:

I am going to use the normal approximation to the binomial 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:

n = 200, p = 0.2

So

\mu = E(X) = np = 200*0.2 = 40

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.2*0.8} = 5.65685

Approximate the probability that at least 50 live in the northeast.

Using continuity correction, this is P(X \geq 50 - 0.5) = P(X \geq 49.5, which is 1 subtracted by the pvalue of Z when X = 49.5. So

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

Z = \frac{49.5 - 40}{5.65685}

Z = 1.68

Z = 1.68 has a pvalue of 0.9535

1 - 0.9535 = 0.0465

0.0465 = 4.65% probability that at least 50 live in the northeast.

3 0
3 years ago
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