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Brilliant_brown [7]
2 years ago
11

Solve the following, what is 10=4y?

Mathematics
1 answer:
Alex777 [14]2 years ago
7 0

Answer:

y=2.5

Step-by-step explanation:

10=4y

4y=10

y=10/4

y=5/2

y=25/10

y=2.5

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What two equivalent fraction for 1/5​
Julli [10]

Answer:

2 over 10 and 4 over 20

Step-by-step explanation:

3 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
Which matrix represents the system of equations shown below<br> Plz help..<br> See picture
Furkat [3]
Basically

just put the coeficinets of each variable in the apropriate row

example
ax+by=c and
dx+ey=f

would go in like this
\left[\begin{array}{ccc}a&b&|c\\d&e&|f\end{array}\right]

so
3x+1=1 and
0x-1y=5

\left[\begin{array}{ccc}3&1&|1\\0&-1&|5\end{array}\right]

D is answer


4 0
3 years ago
Read 2 more answers
People go to a carnival. Children tickets cost $4.50 and adult tickets cost $7.25. If they bought 28 tickets and spent $59, how
xenn [34]

Answer:

l

Step-by-step explanation:

l

4 0
2 years ago
19-8c&gt;3 what does it equal to
nadya68 [22]
Rearrange 19 × 8 × c-(3)>0

Pull out the like terms (factors) 16- 8c = -8 × (c-2)

Divide each side by. -8

Add 2 to each of the sides

So, C<2 would be your result
7 0
3 years ago
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