A symmetrical binomial distribution with large sample size can be approximated by a _________

A triangle has an angle that measures 40°. The other two angles are in a ratio of 11:17. What are the measures of those two angl

Feliz [49]

<span>The measure of one angle of a triangle is 108. The measures of the other two angles are in a ratio of 1:5
108 + x + 5x = 180</span>

8 0

3 years ago

Find the side length of triangle.

Llana [10]

Answer:

x=4

Step-by-step explanation:

Let's solve the equation:

3x+12=4x+8

12=4x-3x+8

12=x+8

12-8=x

4=x

x=4

The way i got this answer was by solving the equation using the following steps. Since you're solving for one side and have two different equations, put an equal sign in between the two equations to get the equation set up above. Then you need to have the x variable on one side, instead of both sides, so you take 3x and subtract it from both sides, leaving x on one side, because 4x-3x is equal to 1x, or just x. Then we need to have what is not attached to a variable on the other side to make it easier to solve, so you would need to subtract 8 from both sides to get rid of the 8 on the side with the variable, because if you subtract 12 from both sides, it will just make it more confusing to solve, and then 12-8 is equal to 4, so you get x is equal to 4.

3 0

3 years ago

Find the next three terms in the sequence.

Lynna [10]

It would be OD because it is going down by 8 each time and you can see that D goes down by 8 each time

5 0

3 years ago

Read 2 more answers

Consider the probability that no less than 96 out of 145 people will not get the flu this winter. Assume the probability that a

dsp73

Answer:

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

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:

$n = 145, p = 0.61$

So

$\mu = E(X) = np = 145*0.61 = 88.45$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{145*0.61*0.39} = 5.87$

Consider the probability that no less than 96 out of 145 people will not get the flu this winter.

More than 95 people, which is the same as 1 subtracted by the pvalue of Z when X = 95. So

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

$Z = \frac{95 - 88.45}{5.87}$

$Z = 1.115$

$Z = 1.115$ has a pvalue of 0.8676

1 - 0.8676 = 0.1324

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

6 0

3 years ago

Find watch percent increase. round to the nearest percent.

Oksana_A [137]

Hey You!

1. 5 - 8 / 5 × 100 = 60

From $5 to $8 is 60% increase.

2. 20 - 30 / 20 × 100 = 50

From 20 students to 30 students is a 50% increase.

3. 86 - 150 / 86 × 100 = 74.4186046511628 Round to 74.

From 86 books to 150 books is a 74% increase.

4. 3.49 - 3.89 / 3.49 × 100 = 11.461318051575958 Round to 11.

From $3.49 to $3.89 is 11% increase.

8 0

3 years ago

A symmetrical binomial distribution with large sample size can be approximated by a __________