15) Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of
water at the store. How many gallons of liquid did she buy?

Answer:

x = 17.2

Step-by-step explanation:

cos 35 = x/21

0.8192(21) = x

x = 17.2

Answer:

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

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:

156

Step-by-step explanation:

39 * 4 = 156

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:

3.6

Step-by-step explanation:

Answer:

To clean 20 identical rooms 5 people will take 1 hour .

Hope It Helps You.

Answer:

9m

Step-by-step explanation:

volume = length x width x height so

432 / 12 / 4 = 9

Answer:

500% increase

Step-by-step explanation:

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

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:

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

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:

I am unable to see the picture if you type it i can possibly help

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

1+3=4

Answer:

Step-by-step explanation:

33x > -38

x > -38/33

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:

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:

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:

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:

The answer is x = 8

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

Answer:

Step-by-step explanation:

sss

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:

1.375 pounds

Step-by-step explanation:

have a nice night mate

:)

mark brainliest please :)

Answer:

What do you need to know?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(b )

Step-by-step explanation:

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