Find the mode(s) for the following group of data items.
33, 30, 29, 28, 34, 31, 27, 29
Select the correct choice below and, if necessary, fill in the answer box within your choice.


O A. The mode(s) is/are
(Use a comma to separate answers as needed.)


O. B. There is no mode.

Using it's concept, it is found that the probability that the next trial will result in a 2 and 4 is given by:

A. \(\frac{3}{10}\).

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, the number of outcomes are taken from previous trials.

In this problem, the table states that of 20 trials, 6 resulted in either (2,4) or (4,2), hence the probability is given by:

p = 6/20 = 3/10.

Which means that option A is correct.

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First, I will transform all into a fraction

the answer is 36/25

Answer:

False

Step-by-step explanation:

Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

West University:

15 out of 100, so:

\(p_W = \frac{15}{100} = 0.15\)

\(s_W = \sqrt{\frac{0.15*0.85}{100}} = 0.0357\)

East University:

12 out of 100, so:

\(p_E = \frac{12}{100} = 0.12\)

\(s_E = \sqrt{\frac{0.12*0.88}{100}} = 0.0325\)

Test the difference in driving abilities at the two universities:

At the null hypothesis we test if there is no difference, that is, the subtraction of the proportions is 0, so:

\(H_0: p_W - p_E = 0\)

At the alternative hypothesis, we test if there is a difference, that is, if the subtraction of the proportions is different of 0. So

\(H_1: p_W - p_E \neq 0\)

The test statistic is:

\(z = \frac{X - \mu}{s}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

From the two samples:

\(X = p_W - p_E = 0.15 - 0.12 = 0.03\)

\(s = \sqrt{s_W^2+s_E^2} = \sqrt{0.0357^2+0.0325^2} = 0.0483\)

Value of the test statistic:

\(z = \frac{X - \mu}{s}\)

\(z = \frac{0.03 - 0}{0.0483}\)

\(z = 0.62\)

P-value of the test and decision:

The p-value of the test is the probability that the proportions differ by at least 0.03, which is P(|z| > 0.62), that is, 2 multiplied by the p-value of z = -0.62.

Looking at the z-table, z = -0.62 has a p-value of 0.2676.

2*0.2676 = 0.5352.

The p-value of the test is 0.5352 > 0.05, which means that the difference in driving is not statistically significant at the .05 significance level, and thus the answer is False.

Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

\(v = \frac{ds}{dt} = 6 sin(2t)\) m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

\(\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3\)

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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Answer: i think its d

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

4 ÷ 1/8

make 4 into a fraction

4/1 ÷ 1/8

when dividing a fraction you change the divide into multiply and you flip the second fraction:

4/1 × 8/1 = 32

Answer:

32

Step-by-step explanation:

1/8 = 1 / 8 = 0.125        4 / 0.125 = 32

mad skillz gl cheating on your I-ready test

9514 1404 393

Answer:

  $403.75

Step-by-step explanation:

Joe worked 45 -40 = 5 hours of overtime this week. "Time and a half" means he will be paid for an additional 5/2 = 2.5 hours, so his gross pay this week is ...

  (45 +2.5)($8.50) = $403.75

Answer:

n＝2

Step-by-step explanation:

2n＝4

n＝2

Answer:

= 2

Step-by-step explanation:

Please mark brainliest :)

Hope this helps

Have a great day!!

Answer:

Swap 10 from box A and 15 from box B

Step-by-step explanation:

For calculate the ratio between the boxes we find the mean of the box A and the mean of the box B and divide this two results.

For find the mean of a set you use the next formula  \(\bar{x} = \frac{\text{sum numbers}}{\text{total numbers}}\)

\(\bar{A} = \frac{4+5+9+10+12}{5} = \frac{40}{5}= 8\\\bar{B} = \frac{6+7+13+15+19}{5} = \frac{60}{5}= 12\)

Then the ratio is equal to \(\frac{\bar{A}}{\bar{B}} = \frac{8}{12} = \frac{2}{3}\)

Know the ask us for a ratio of 9:11 then we know two things about the boxes.

If you swap the numbers between them the total of numbers in the mean not change is always 5 and the sum of all the elements in both boxes is always 100. With this we can state the next equation:

The new mean of \(\bar{A}\) is 9 then:

\(\frac{\text{sum of elements in box A}}{5} = 9\)

\(\text{sum of elements in box A} = 45\)

The new mean of \(\bar{B}\) is 11 then:

\(\frac{\text{sum of elements in box B}}{5} = 11\)

\(\text{sum of elements in box B} = 55\)

Now we know what is the sum of the elements in both boxes, but how we find the elements for swap? Well with the next relation.

When you take out a element from the box A this elements is substracted to the total sum of the elements in the box A and get a new sum of total of elements named \(c\) (where \(a\) is the element taken):

\(40 - a = c\)

And when you sum an element to the box A the current sum of total elements in the box change to (where \(b\) is the added element):

\(b + c = 45\)

So replace \(c\) for the first relation and get:

\(b + 40 - a = 45\\b - a = 5\)

From the last equation you can deduct that \(b\) is greater than \(a\) and the different between both values is 5. So the last step is find a number in the box B that substracted to a number from the box A give us 5. These both numbers are 15 and 10 because 15 - 10 = 5.

Answer:

25, 50, and 105.

Step-by-step explanation:

Let the first angle be A, the second angle be B, and the third angle be C.

First, the sum of the three angles in a triangle is 180. Thus:

\(A+B+C=180\)

We know that the measure of A is twice the measure of B. Thus:

\(A=2B\)

And the measure of C is 80 more than the measure of B. So:

\(C=80+B\)

Let's substitute A and C into the original equation:

\(2B+B+80+B=180\)

Now, let's solve for the second angle (B). Combine like terms:

\(4B+80=180\)

Subtract 80 from both sides:

\(4B=100\)

Divide both sides by 4:

\(B=25\)

So, the second angle is 25 degrees.

This means that the first angle is 2(25) or 50 degrees.

And the third angle is 80+25 or 105 degrees.

And we're done!

The angles are 25, 50, and 105.

Step-by-step explanation:

13.70 square inches of the box is empty

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Mrs. Grubbs would get more cookie to eat by choosing the 4 smaller cookies with diameter 5 cm each rather than the single cookie with diameter 14 cm.

To compare the amount of cookie Mrs. Grubbs would get by eating a single cookie with diameter 14 cm and 4 smaller cookies with diameter 5 cm each, we need to consider the total area of the cookies.

The area of a cookie with diameter 14 cm can be calculated as follows:

A = πr^2 = π(7 cm)^2 = 49π cm^2

where r is the radius of the cookie.

On the other hand, the area of a single small cookie can be calculated as follows:

A1 = \(πr^2\) = \(π(2.5 cm)^2\)= \(6.25π cm^2\)

where r is the radius of the small cookie.

Therefore, the total area of 4 small cookies is:

A2 = 4A1 = \(4(6.25π cm^2)\) = \(25π cm^2\)

Comparing the two options, we see that the total area of the 4 small cookies is greater than the area of the single large cookie:

A2 > A

\(25π cm^2 > 49π cm^2\)

It's worth noting that this comparison assumes that the thickness or volume of the cookies is the same for both options. If the cookies have different thicknesses, then the comparison would need to take into account the volume of the cookies instead of just the area.

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To find the answer, you need to subtract the total inches of snow in 2021 by the total inches of snow in 2020.

So 38 -20= 18

Therefore,  from 2020 to 2021. The snow increased by 18 inches.

Hope this helped!

Let D be the CDs and C for the cassetes. We can write the first statement as

and the second statement as

Then, we must solve these equations.

Solving by elimination method.

We can multiply by -2 the second equation. Then, we have the following system of equations:

We can see that if we add both equations, we obtain

because 2D-2D=0. Then, we have

If we move the coefficient -7 of C to the right hand side, we have

Now, we can substitute this value into the first equation in order to find D. It yields,

Then, the answer is C=11 and D=21. So, the cost for the CDS is $21 and for the cassettes is $11.

Answer:

3x-2

Step-by-step explanation:

3 times a number is 3x, if we use x as the number

Two less than (3x) is 3x - 2

Answer:

y=4x+7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substituting the given table values into the desired equation for a line will give two equations in two unknowns. These can be solved for the slope and y-intercept.

Equation we're substituting into:

  y = mx +b

  11 = m(1) +b . . . . . substitute (x, y) = (1, 11)

  15 = m(2) +b . . . . substitute (x, y) = (2, 15)

Subtracting the first equation from the second gives ...

  (15) -(11) = (2m +b) -(m +b)

  4 = m

Substituting this into the first equation gives ...

  11 = 4 +b

  7 = b . . . . . subtract 4

The slope is 4; the y-intercept is 7.

Answer:

c = 3

Step-by-step explanation:

\( 32^{2c} = 8^{c + 7} \)

\( (2^5)^{2c} = (2^3)^{c + 7} \)

\( 2^{10c} = 2^{3c + 21} \)

\( 10c = 3c + 21 \)

\( 7c = 21 \)

\( c = 3 \)

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Answer:

27.88 can be rounded to whatever the question wants you to, coz it needs to be a whole no.---> so I would say 28 weeks, but it depends on what the question asks

Step-by-step explanation:

18w+38= should equal to $540

rephrasing this in a mathematical way would be-

18w+38=$540

18w=$540-38

18w=502

w=502/18

w=27.88

Answer:

The answer is 27. 88 but if this is like a test and not a open end question than the answer is 27 ;)

Answer:

distribute the 4 to the k and -15 so you get 4=4k-60 then add the 60 to the other 4 so its 64=4k then divide 4 to 64 and your answer is 16

Step-by-step explanation:

\(4=4k-60\\4k-60=4\\4k=4+60\\4k=64\\\frac{4k}{4} =\frac{64}{4} \\k=16\)

As solved above k=16

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

9514 1404 393

Answer:

  -3/2

Step-by-step explanation:

Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...

  slope = rise/run = (change in y)/(change in x)

  slope = -3/2

Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Step-by-step explanation:

I think your answer may be 100?

Double Checked on this site, it correct: