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Tatiana [17]
3 years ago
13

2x+4=3y can someone solve it?

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

2x+4=3y

No specific directions were given here. I'll assume that you want to solve y.

Simply divide both sides by 3.

This will isolate y, which is what you want.

(2x + 4)/3 = y

Done!




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What would the unit rates be for a person who jogged 500 meters in 4 minutes?
kozerog [31]
500 meters/4 minutes = 125 meters/minute 

<span>4 minutes / 500 meters = 0.008 minutes/meter</span>
4 0
3 years ago
How do you find the missing variables in this problem please help
andrew-mc [135]

Answer:

x = 55, y = 70, z = 125

Step-by-step explanation:

125 and x are adjacent angles and are supplementary, then

x = 180 - 125 = 55

The triangle is isosceles ( 2 congruent sides ) thus the base angles are congruent, both 55

The sum of the 3 angles in the triangle = 180° , thus

y = 180 - (55 + 55) = 180 - 110 = 70

55 and z are adjacent and supplementary, so

z = 180 - 55 = 125

4 0
3 years ago
Read 2 more answers
Assume that 24.5% of people have sleepwalked. Assume that in a random sample of 1478 adults, 369 have sleepwalked. a. Assuming t
solniwko [45]

Answer:

a) 0.3483 = 34.83% probability that 369 or more of the 1478 adults have sleepwalked.

b) 369 < 403.4, which means that 369 is less than 2.5 standard deviations above the mean, and thus, a result of 369 is not significantly high.

c) Since the sample result is not significant, it suggests that the rate of 24.5% is a good estimate for the percentage of people that have sleepwalked.

Step-by-step explanation:

We 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)}

A result is considered significantly high if it is more than 2.5 standard deviations above the mean.

Normal probability distribution

Problems of normally distributed distributions 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)}.

Assume that 24.5% of people have sleepwalked.

This means that p = 0.245

Sample of 1478 adults:

This means that n = 1478

Mean and standard deviation:

\mu = 1478*0.245 = 362.11

\sigma = \sqrt{1478*0.245*0.755} = 16.5346

a. Assuming that the rate of 24.5% is correct, find the probability that 369 or more of the 1478 adults have sleepwalked.

Using continuity correction, this is P(X \geq 369 - 0.5) = P(X \geq 368.5), which is 1 subtracted by the p-value of Z when X = 368.5.

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

Z = \frac{368.5 - 362.11}{16.5346}

Z = 0.39

Z = 0.39 has a p-value of 0.6517

1 - 0.6517 = 0.3483

0.3483 = 34.83% probability that 369 or more of the 1478 adults have sleepwalked.

b. Is that result of 369 or more significantly high?

362.11 + 2.5*16.5346 = 403.4

369 < 403.4, which means that 369 is less than 2.5 standard deviations above the mean, and thus, a result of 369 is not significantly high.

c. What does the result suggest about the rate of 24.5%?

Since the sample result is not significant, it suggests that the rate of 24.5% is a good estimate for the percentage of people that have sleepwalked.

3 0
3 years ago
If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?
antiseptic1488 [7]
$105 because 35+45+25=105.

I hope this helped you!

:D
5 0
3 years ago
Find the point of intersection of the pair of straight lines<br> Y= -7x - 4<br> -y = 8x + 9
Aleonysh [2.5K]

Answer:

(-5,31)

Step-by-step explanation:

See image.

4 0
3 years ago
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