simplify:(-5/8x3/7x4/-15)+(4/7x-21/8)​

Answer:

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

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:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Assume the probability that a given registered voter will vote in the presidential election is 61%.

This means that [tex]p = 0.61[/tex]

152 registed voters:

This means that [tex]n = 152[/tex]

Mean and Standard deviation:

[tex]\mu = E(X) = 152*0.61 = 92.72[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{152*0.61*0.39} = 6.01[/tex]

Probability that no less than 95 out of 152 registered voters will vote in the presidential election.

This is, using continuity correction, [tex]P(X \geq 95 - 0.5) = P(X \geq 94.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 94.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94.5 - 92.72}{6.01}[/tex]

[tex]Z = 0.3[/tex]

[tex]Z = 0.3[/tex] has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Answer:

Hello your question has some missing information below is the complete question

answer :

[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]

Step-by-step explanation:

Red car and Blue car take up 2 spaces each

Green cars take up 1 space

lets determine the number of ways of filling up the parking spaces

i) First lets assume the last space is filled by Green car then there will be [tex]n^{th}[/tex] space occupied hence there will be ( n - 1 ) spaces left to be filled in [tex]a_{n-1}[/tex] ways

ii) lets assume the last space is filled by either a Red car or a Blue car then there will be [tex]n^{th} + ( n -1 )^{st}[/tex]  parking space occupied hence there will be

( n - 2 ) spaces left to be filled in [tex]a_{n-2}[/tex] ways

Hence A closed formula for [tex]a_{n}[/tex]

[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]

where : a1 = 1 way ,  a2 = 3 ways

Answer:

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

Step-by-step explanation:

Proportion of oil tankers that had spills.

Number of tankers with spills divided by the total number of tankers.

In this question:

211 tankers

146 did not have spills, so 211 - 146 = 65 had

Proportion:

[tex]p = \frac{65}{211} = 0.308[/tex]

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

Answer:

Step-by-step explanation:

33x > -38

x > -38/33

Answer:

Here are two ways to help with dilation as cm counting can help and so can division.

Step-by-step explanation:

1. Image of a Button enlarged 5 times and shows it is 6cm image is divided by 5 and shows a decimal 1.2   etc. so you write 1.2cm

2. Coordinates shown of A : B : C can be found from their cm measurement we measure the AB and BC measure being; Adjacent (m1) and Hypotenuse (m2) in cm and include any decimals. alternately if they are difficult to count then we take coordinates of AB BC or any adjacent and hypotenuse coordinates to suit y2-y1 / x2-x1 and enter those as our measure and just ensure they are turned positive to enter into calculator.

Note m = measure here found after the above is done.

Then Calculate Adjacent / Hypotenuse = m1/m2 = multiplier

Then input the multiplier to cos-1 found on your shift button.

Answer:

A sample of 151 cans must be selected.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The standard deviation of fill volumes is 0.05 ounce.

This means that [tex]\sigma = 0.05[/tex]

How large a sample of cans must be selected to estimate the population mean fill volume with a 95% confidence interval that has a margin of error of 0.008 ounce?

We need a sample of n.

n is found when M = 0.008. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.008 = 1.96\frac{0.05}{\sqrt{n}}[/tex]

[tex]0.008\sqrt{n} = 1.96*0.05[/tex]

[tex]\sqrt{n} = \frac{1.96*0.05}{0.008}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.05}{0.008})^2[/tex]

[tex]n = 150.1[/tex]

Rounding up:

A sample of 151 cans must be selected.

Answer:

4 3/8

Step-by-step explanation:

1. We can use the formula

Area = L (length) x W (width)

2. The area is unknown so we can substitute it for a

  The length and width are both known, so we can plug them in.

a= 2 1/2 x 1 3/4

3. Solve by multiplying

a=4 3/8

Area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

Rectangle is a quadrilateral with four right angles

Area of the rectangle = Length × Width

Length of the rectangle = [tex]2\frac{1}{2} =\frac{5}{2}[/tex]

Width of the rectangle = [tex]1\frac{3}{4}=\frac{7}{4}[/tex]

Area of the rectangle = [tex](\frac{5}{2}).(\frac{7}{4})=\frac{35}{8}=4\frac{3}{8}[/tex] meter square

Hence, the area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square

Learn more about Area and rectangle here

https://brainly.com/question/9655204

#SPJ2

Answer:

x = 12 ft, y = 24 ft

12 ft x 24 ft

Step-by-step explanation:

12 x 24 = 288 ft²

2(12) + 24 = 48 ft fencing

Answer: D - 5 1/4

Step-by-step explanation:

7/8 x 6 = 5.25

5.25 = 21/4

21/4 = 5 1/4

Answer:

D) 5 1/4

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

I think like 70 precent sure

Answer:

1.375 pounds

Step-by-step explanation:

have a nice night mate

:)

mark brainliest please :)

Answer:

Place value of 1st digit=7,000,000

,,. ,,,. ,,,. of 2nd digit= 70

Difference= 7,000,000-7

You get 6,999,930

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

I'm not sure but I believe it is than 0=4/5

Answer:

C.) 37%

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] as a percentage is 37.5%

[tex] \purple{ \huge{\mathtt{✨Answer✨}}}[/tex]

C. 37%

Answer:

156

Step-by-step explanation:

39 * 4 = 156

Answer:

Yes, indeed it is one of the most important examinations.

Answer:

3.6

Step-by-step explanation:

Answer:

9m

Step-by-step explanation:

volume = length x width x height so

432 / 12 / 4 = 9

Answer:

What do you need to know?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

there is no picture for us to see so we can't answer it.

Step-by-step explanation:

sorry

Answer:

C: step 2 (Took the test on edge got 100%)

Step-by-step explanation:

Your question was incomplete you have forgotten to include the graph necessary to answer.

Answer:

x = 17.2

Step-by-step explanation:

cos 35 = x/21

0.8192(21) = x

x = 17.2

Answer:

SSS

Step-by-step explanation:

Answer:

Step-by-step explanation:

sss

Answer:

500% increase

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

1+3=4

9514 1404 393

Answer:

  8. (c)  34

  9. 38 women

Step-by-step explanation:

8. The price for s songs is ...

  A = 10 +0.89s

  B = 1.19s

We want A < B, so ...

  10 +0.89s < 1.19s

  10 < 0.30s

  33.33... < s

Lola would have to purchase 34 songs for Company A to be the cheaper option.

__

9. Let m represent the number of men. Then the number of women (w) is ...

  w = 4m+2

The total of men and women is 47, so we have ...

  m + w = 47

  m + (4m +2) = 47

  5m = 45 . . . . . . . . . subtract 2

  m = 9 . . . . . . . . . . . .divide by 5

  4m +2 = 4(9) +2 = 38 . . . . find the number of women

The PTA has 38 women in it.

Answer:

3. -1/4

Step-by-step explanation:

Similar to doing 0.5-0.75 which ends up as -0.25 which is equal to -1/4

Answer:

Step-by-step explanation:

a)

5.75x + 3.25y ≤ 625

b)

55 youth shirts

5.75x + 3.25 (55) ≤ 625

5.75x + 178.75 ≤ 625

5.75x  ≤ 446.25

x ≤ 77.6086....

so 77 adult t-shirts