Chloe and Charlie are taking a trip to the pet store to purchase some items for their new puppy. They know they need a bag of food that costs $7, and they also want to purchase some new toys for the puppy. They find a bargain barrel containing toys that cost $2 each. If Chloe has $30 with her and Charlie has one-third of this amount with him, what is the maximum number of toys they can purchase?

Using permutation, the number of ways she can rank the 2 DJs is 42.

A permutation of a set is, broadly speaking, a rearranging of its elements if the set is already ordered, or arranging its members into a sequence or linear order.

The bride interviewed 7 DJs to play at her wedding.

She asks her fiance to select 2 DJs using permutation.

ₙPₐ = n! / ( n - a )!

P( 7, 2 ) = 7!/( 7 - 2 )!

P( 7, 2 ) = 7!/5!

P( 7, 2 ) = (7 × 6 × 5 × 4 × 3 × 2) / (5 × 4 × 3 × 2)

P( 7, 2 ) = 7 × 6

P( 7, 2 ) = 42

The number of ways in which she ranks the 2 DJs is 42.

The correct option is (e) 42 ways.

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The population includes the sample. Therefore, only some of the variables—not all—are used when we calculate central tendency or spread values.

What does the standard deviation of the sample mean?

According to question

    The sample may not be a good representation of the population due to various biases that could have been introduced during sample calculation, such as self-selection and non-response.

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Answer:

i think its 20

Step-by-step explanation:

Answer:

the value of x is 2

Step-by-step explanation:

if you subtract 3 from 15 you get 12 which you then divide by 6 which leaves with with 2

Using degree of freedom,

Two degrees of freedom would we report when we report the results of our study is (2,24).

Degree of freedom:

The statistical degrees of freedom (DF) indicate the number of independent values that can be changed in the analysis without violating the constraints.

degrees of freedom is the number of independent values that can be estimated in a statistical analysis. It can also be thought of as the number of values that are free to vary when estimating the parameters

DF = N – P

Where:

N = sample size

P = the number of relationships

We given that,

Number of groups , k = 3

Number of total participants, n = 27

Degrees of freedom for F-test is F(k-1,n-k)

= F(3-1 , 27-3)

= F(2,24)

Hence, (2,24,) are required two degrees of freedom.

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Answer:

Step-by-step explanation:

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

13 = x

answer is C

Answer:

13

Step-by-step explanation:

Answer:

it is answer two

Step-by-step explanation:

i only answered because the other person just spoke jibberish

Answer:

a  c   d

Step-by-step explanation:

Answer:

ACD

Step-by-step explanation:

Answer:

r = 1/2n + 3

Step-by-step explanation:

Are there answer choices to choose from?  

This is how you would isolate the r:

4r = 2n + 6 + 6 so 4r = 2n + 12

Solve for r by dividing both sides by 4  so r = 1/2n + 3

Answer:

-2=2n+6

2n=2-6

2n=-4

n=-2

Answer:

3(x+5)≡3x +a

3x + 15≡ 3x +a ⇒ a=15

I hope you understood!

Answer:

3(x+5)=3x+a

3x+15=3x+a

a=3x-3x+15

a=+15 ........ans

Answer:

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left.

Step-by-step explanation:

5.25% = .0525

Kono Dio Da

Answer:

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.

Step-by-step explanation:

The p-value of the z-test statistic is 0.177.

To find the p-value for the z-test statistic, we need to calculate the area under the standard normal curve to the left of -1.35.

Since the alternative hypothesis is µ < $21,706, we are looking for the probability of obtaining a z-value less than -1.35.

Using a standard normal distribution table or a calculator, we can find that the area to the left of -1.35 is approximately 0.0885.

Since the z-test is a two-tailed test, we need to double the p-value to account for both tails. Thus, the p-value is 2 * 0.0885 = 0.177.

Therefore, the p-value of the z-test statistic is 0.177.

Based on the given data and using a significance level of α = 0.05, we do not have enough evidence to reject the null hypothesis.

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Answer:

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

2/3 - 1/3 would equal 1/3. Since it is a negative 1/3 you would subtract that from the equation.

The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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Answer:

60 sq m

Step-by-step explanation:

Area of the figure

= Area of top rectangle + Are of the bottom rectangle

= 5*3 + 5*(3+3+3)

= 15 + 5*9

= 15 + 45

= 60 sq m

Answer:

60 m²

Step-by-step explanation:

Area of the figure

= Top rectangle vertical + Bottom rectangle horizontal

= 3 x 5 + 5 x 9

= 15 + 45

= 60 m²

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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Answer:8

Step-by-step explanation:

You are wanting a negative 1

So you start by getting to zero would take 7 “jumps”

Then u need to get into the negative by one

So when you go back one you get 8 jumps total

The 95% confidence interval of voters not favoring the incumbent is (0.0706, 0.1294).

Sample size, n=400

Sample proportion, p = 40 / 400

= 0.1

We use normal approximation, for this, we check that both np and n(1-p) >5.

Since n*p = 40 > 5 and n*(1-p) = 360 > 5, we can take binomial random variable as normally distributed, with mean = p = 0.1 and standard deviation  = root( p * (1-p) /n )

= 0.015

For constructing Confidence interval,

Margin of Error (ME) =  z x SD = 0.0294

95% confidence interval is given by Sample Mean +/- (Margin of Error)

0.1 +/- 0.0294 = (0.0706 , 0.1294)

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Answer:

if its just in parenthesis then its 19 - 10 = 9

Answer:

−4803390

Step-by-step explanation:

159 (19-10)

159 * 19= 3021

159 * -10= -1590

3021 * -1590= −4803390

Answer:

C = \(\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right]\)

Step-by-step explanation:

A = B+ C then

C = A - B

C = \(\left[\begin{array}{ccc}2&-5\\-1&4\\\end{array}\right]\) - \(\left[\begin{array}{ccc}4&-1\\0&3\\\end{array}\right]\) (subtract corresponding elements )

   = \(\left[\begin{array}{ccc}2-4&-5-(-1)\\-1-0&4-3\\\end{array}\right]\)

   = \(\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right]\)

Answer:

I think it is 2.

Step-by-step explanation:

The single transformation that maps shape a onto shape b is \(\left[\begin{array}{c}-5&-5\end{array}\right]\)

From the figure, we have the following highlights

The above highlights mean that the triangle A must be translated 5 units left and 5 units down to get triangle B.

This is represented as:

(x,y) -> (x - 5, y - 5)

By vector representation, we have:

\(\left[\begin{array}{c}-5&-5\end{array}\right]\)

Hence, the single transformation that maps shape a onto shape b is \(\left[\begin{array}{c}-5&-5\end{array}\right]\)

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The relationship between the variance and standard deviation is: option a)The standard deviation is the square root of the variance.

The variance of a random variable from its true population or sample mean is expected in probability theory and statistics. The term "variance" refers to a measurement of how widely apart a group of numbers are from one another.

Here,

Variance and standard deviation are both measures of spread. They calculate the deviation of each data point from the mean. The range of data increases with increasing variation. Using the original unit of measurement, the standard deviation measures the same thing as the variance (whereas variance is the original unit squared).

Therefore ,The relationship between the variance and standard deviation is: option a)The standard deviation is the square root of the variance.

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Answer:  The graph becomes narrower

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k   where

A vertical stretch means the curve gets narrower.

A vertical shrink/compression means the curve gets wider.

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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To create a 4x4 elementary matrix E that performs the row operation R2 - 3R1 → R2, you can follow this structure:
E = [1, 0, 0, 0]

     [-3, 1, 0, 0]
     [0, 0, 1, 0]
     [0, 0, 0, 1]

The 4 × 4 elementary matrix E that will carry out the row operation R2-3R, → R2 is:
1 0 0 0
-3 1 0 0
0 0 1 0
0 0 0 1

In this matrix, the entry in the second row and the first column is -3 because we are subtracting 3 times the first row from the second row. The other entries on the diagonal are 1 because we are not scaling those rows. The other entries in the second row are 0 because we are not adding or subtracting anything from those rows. The other entries in the matrix are also 0 because we are not modifying those rows. This matrix will perform the desired row operation when multiplied on the left of the original matrix.

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