Olivia worked a 5-day week for a total of 18 hours. Solve for the average hours she worked per day.​

On average, 50% of athletes are able to begin activity 90 days after a knee operation, with a standard deviation of 15 days.

This means that the median time for 50% of athletes to be able to participate is 75 days, rounded to the nearest day.

The average time for an athlete to begin activity after a knee operation is 90 days, and the standard deviation is 15 days.

Standard deviation is a measure of how spread out the data points are in a data set; a larger standard deviation means that the data points are more spread out.

In this case, 50% of athletes can begin activity within 75 days, which is the median. By rounding to the nearest day, this would be 75 days. Therefore, 50% of athletes are able to participate within 75 days, rounded to the nearest day.

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Answer:

see the attachment hope it helps you

Step-by-step explanation:

Friends is an American television sitcom created by David Crane and Marta Kauffman, which aired on NBC from September 22, 1994, to May 6, 2004, lasting ten seasons.[1] With an ensemble cast starring Jennifer Aniston, Courteney Cox, Lisa Kudrow, Matt LeBlanc, Matthew Perry and David Schwimmer, the show revolves around six friends in their 20s and 30s who live in Manhattan, New York City. The series was produced by Bright/Kauffman/Crane Productions, in association with Warner Bros. Television. The original executive producers were Kevin S. Bright, Kauffman, and Crane.

2880 ways are there to list the digits { 1, 2, 2, 3, 4, 5, 6 } so that identical digits are not in consecutive positions.

The list of the digits is: { 1, 2, 2, 3, 4, 5, 6 }

Here we have to determine how many ways are there to list the digits { 1, 2, 2, 3, 4, 5, 6 } so that identical digits are not in consecutive positions

We have one number in consecutive positions in this question

That is: (2, 2)

Number of ways that (2,2) are in consecutive positions = \($\frac{6!}{2!}\) = 360

The permutation of 1, (2, 2), 3, 4, 5, 6 = 6!

6! = 720

To get the total number of permutations

= \($\frac{7!}{2!}\)

= \($\frac{5040}{2}\)

= 2520

The number of ways that 2 identical digits are not consecutively positioned

= 2520 - 360 + 720

= 2880

There are 2880 ways to list the digits { 1, 2, 2, 3, 4, 5, 6 }.

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hopefully this answer can help you to answer the next question

The altitude of the right circular cone is 13.5 inches.

What is volume?

Volume is a term used in mathematics to describe the volume of three-dimensional space occupied by an object or a closed surface. The measurement of volume is done in cubic units, like m3, cm3, in3, etc. Volume is also referred to as capacity on occasion.

Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base

So our equation for volume becomes

V = c*h*r^2

where 'h' is altitude and

'r' is radius of base and

'c' is constant

Putting the values of V, h, r, in the volume equation.

we get,

154 = c*12*3.5*3.5

  c = 22/21

Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,

 77 = 22/21*h*7/3*7/3

or, h = 13.5 inches

Hence, the altitude of the right circular cone is 13.5 inches.

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Answer:

RV = 19

Step-by-step explanation:

You have a rectangle, therefore you need to know the following facts:

1. The diagonals are =

2. The diagonals bisect each other.

3. Opposite angles are =

RT = SU                  Diagonals are = in a rectangle

5x - 12 = 4x - 2        Solve for x

x - 12 = -2

x = -2 + 12

x = 10        Now you know RT = 5x - 12

                                           RT = 5(10) -12

                                           RT = 50 -12 = 38

Now diagonals of a rectangle bisects each other meaning this RT= RV + VT  and RV = VT  RT =38 so RV =19 and VT =19.

Next  m ∠SVT = 70°.  m ∠SVT = m ∠VUR are vertical angles are =  

RV = VT and SV = VU.  so ΔSVT = ΔVUR are congruent by SAS.  Thus

m ∠SVT = m ∠VUR   Corresponding parts of congruent triangles are ≅ (CPCTC)

These triangles are isosceles (two angles are = to each other.  

70°+ x° + x° = 180°; 70° + 2x = 180° ; 2x = 110°; x = 55°.    I hope this help.

Answer:

RV = 19

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think its c

Answer:

x=(c-k)/3

Step-by-step explanation:

First, subtract k from both sides of the equation to get: 3x=c-k

Next, divide both sides by 3 to get x by itself=> 3x/3=c-k/3

The threes on the left side cancel, giving you x=(c-k)/3

The number of distinct initial possible pairings is determined by the formula (n/2) * ((n-2)/2) * ((n-4)/2) * ... * 1, where the number of terms in the product is (n-1)/2.

In a single-elimination ping-pong tournament, each player gets to play against every other player once. It is a type of tournament in which players are eliminated after losing once until there is only one winner.

The total number of games that need to be played in such a tournament is (n-1), since each game eliminates one player from the tournament.

As a result, we know that the number of games played in a single-elimination ping-pong tournament with n players is (n-1).

The possible pairings for the first game in the tournament are n/2, since the first player may be paired with any of the remaining n-1 players, the second player may be paired with any of the remaining n-2 players, and so on.

Then we may have (n-2)/2 possible pairings for the second game, (n-4)/2 possible pairings for the third game, and so on.

In general, we can see that there are (n-2k)/2 possible pairings for the k-th game.

Because a distinct tournament bracket is generated by each of these distinct initial pairings, the number of distinct initial pairings resulting in a distinct tournament bracket is given by:

(n/2) * ((n-2)/2) * ((n-4)/2) * ... * 1,

where the number of terms in the product is (n-1)/2

Since a distinct tournament bracket is generated by each of these distinct initial pairings, this formula calculates the number of distinct initial possible pairings resulting in a distinct tournament bracket.

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To create a validation rule in Salesforce that automatically selects grade A when the percentage is set to 90, you can use the ISPICKVAL function. This function allows you to check the selected value of a picklist field and perform actions based on the value. By using ISPICKVAL in the validation rule, you can ensure that the grade field is populated with A when the percentage field is set to 90.

To implement this validation rule, follow these steps:

Go to the Object Manager in Salesforce and open the Student object.

Navigate to the Validation Rules section and click on "New Rule" to create a new validation rule.

Provide a suitable Rule Name and optionally, a Description for the rule.

In the Error Condition Formula field, enter the following formula:

AND(ISPICKVAL(Percentage__c, "90"), NOT(ISPICKVAL(Grade__c, "A")))

This formula checks if the percentage field is selected as 90 and the grade field is not set to A.

In the Error Message field, specify an appropriate error message to be displayed when the validation rule fails. For example, "When percentage is 90, grade must be A."

Save the validation rule.

With this validation rule in place, whenever a user selects 90 in the percentage field, the grade field will automatically be populated with A. If the grade is not set to A when the percentage is 90, the validation rule will be triggered and display the specified error message.

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Answer:

Step-by-step explanation:

13

Let S be the subspace of P3 consisting of all polynomials p(x) such that p(0) = 0 and let T be the subspace of all polynomials q(x) such that q(1) = 0.

a) The two vectors are linearly independent and span S which means {x, \(x^{2}\)} forms a basis for S.

b) The two vectors are linearly independent and span T which means \({(x -1),(x - 1)^2}\)forms a basis for T.

c) The vector is linearly independent and spans S∩T which means {x(x−1)} forms a basis for S ∩ T.

We have the information from the question:

Let S be the subspace of \(P_3\) consisting of all polynomials p(x).

We have:

p(0) = 0 and let T be the subspace of all polynomials q(x) such that q(1) = 0.

a) S is all polynomials of the form p(x) = \(ax^2 + bx\) where a, b are

real numbers.

p(0) = \(a(0)^2 + b(0)\) = 0 for all a, b.

I propose that {x, \(x^{2}\)} forms a basis for S.

We must show that:

The vectors x and \(x^{2}\) are linearly independent and span S.

To show they are linearly independent we must show that:

\(\alpha _1(x^2) + \alpha _2(x) = 0(x^2) + 0(x)\)

Only has the solution :

\(\alpha _1=\alpha _2=0\)

Upon grouping the terms we find:

\(\alpha _1=0\\\\\alpha _2=0\)

Thus the two vectors are clearly linearly independent.

Now to show that the two vectors span S we must show that any element

in S which I will represent by p(x) = ax^2 + bx can be written as:

\(\alpha _1(x^2) + \alpha _2(x) = ax^2 + bx\)

where, \(\alpha _1,\alpha _2\) are scalar  vectors.

Upon grouping the terms we find that:

\(\alpha _1=a\\\\\alpha _2=b\)

With this solution we have:

\(\alpha _1(x^2) + \alpha _2(x) = ax^2 + bx\)

which means the two vectors span S.

Thus, the two vectors are linearly independent and span S which means {x, \(x^{2}\)} forms a basis for S.

b)T is all polynomials of the form :

\(q(x) = a(x - 1)(bx + c) =abx^2 + acx - abx - ca = ab(x^2) + (ac - ab)x - ac\)where a, b, c are real numbers.

This is because q(1) = a(1 − 1)(b + c) = 0 for all a, b, c.

Let s = ab and t = ac.

Now we have that T is all polynomials of the form

\(q(x) = sx^2 + (t - s)x - t\)

\({(x - 1),(x - 1)^2}\)forms a basis for S.

In order to confirm this we must show that the vectors x − 1 and \((x - 1)^2\)are linearly independent and span S.

To show they are linearly independent we must show that:

\(\alpha _1((x -1)^2) + \alpha _2(x - 1) = 0(x - 1)(0(x) + 0)\)

only has the solution α1 = α2 = 0

Upon grouping the terms we find:

\(\alpha _1=0\\\\\alpha _2=0\)

Thus the two vectors are clearly linearly independent.

Now to show that the two vectors span T we must show that any element

in T which I will represent by \(q(x) = sx^2 + (t - s)x - t\) can be written as:

\(\alpha _1((x - 1)^2) + \alpha _2(x - 1) = sx^2 + (t - s)x - t\)

Where, \(\alpha _1,\alpha _2\) are scalars.

Upon grouping the terms we find that:

\(\alpha _1=s\\\\\alpha _2=s+t\)

With this solution we have:

\(sx^2 + (t - s)x - t = sx^2 + (t - s)x - t\)

which means the two vectors span T

Thus, the two vectors are linearly independent and span T which means \({(x -1),(x - 1)^2}\)forms a basis for T.

c)  S∩T is all polynomials of the form \(c(x) = a(x-1)(bx) = abx^2-abx\)

where a, b are real numbers.

This is because \(c(0) = a(0 - 1)^2\)

(b(0)) = 0 and

c(1) =\(a(1 - 1)^2\)

(b(1)) = 0 for all a, b.

Let ab = t

This means S∩T is all polynomials of the form \(c(x) = tx^2-tx = tx(x-1).\)

I propose that {x(x − 1)} forms a basis for S ∩ T.

Now, we must show that the vector x(x − 1) is linearly independent and spans S ∩ T.

To show it is linearly independent we must show that:

\(\alpha _1\)(x(x − 1)) = 0(x(x − 1))

only has the solution \(\alpha _1\) = 0.

Upon grouping the terms we find:

\(\alpha _1\) = 0

Thus the two vectors are clearly linearly independent.

Now to show that the vector spans S ∩ T we must show that any element

in S ∩ T which I will represent by c(x) = tx(x − 1) can be written as:

\(\alpha _1\)(x(x − 1)) = tx(x − 1).

where \(\alpha _1\) is a scalar.

Upon grouping the terms we find that:

\(\alpha _1\) = t

With this solution we have:

tx(x − 1) = tx(x − 1)

which means the vector spans S ∩ T.

Thus, the vector is linearly independent and spans S∩T which means {x(x−1)} forms a basis for S ∩ T.

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Answer:

you have to substitute x with 4

Step-by-step explanation:

½×4-4×4+7=

=2-16+7=

=-7

To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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Answer:

11

Step-by-step explanation:

(-3)²-3(-3)-7

9+9-7

11

Answer:

Answer would be 11

I know because it's right on the test I took :)

A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.

The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.

The general format of a proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:

Considering x as the cost before sales tax, the equation is given as follows:

y = x + 0.1x

y = 1.1x.

Meaning that one point is given as follows:

(5,5.5).

Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.

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Answer: FALSE

Step-by-step explanation:

An Irrational number is a decimal t hat is non repeating while a rational number is s repeating decimal.

Answer:

False

Step-by-step explanation:

Because the sum of a rational Number and an irrarional number is still irrational.

Answer:

No, No, Yes, No, Yes, Yes

Step-by-step explanation:

A graph is a function if it passes the vertical line test (in other words, every vertical line that can be drawn intersects the graph at no more than one point).

This is because for a function, each input must map onto no more than one output.

Using system of linear equations he will require 20kg of 15% copper and 30kg of 70% copper to produce an alloy of 48% in 50kg

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

To solve this problem, we need to write a system of linear equations and find the equivalent amount of the metal required to make the desired amount of the alloy.

0.15x + 0.7y = 0.48(50) ..eq(i)

0.15x + 0.7y = 24 ...eq(i)

x + y = 50 ...eq(ii)

solving equation (i) and (ii)

x = 20, y = 30

He needs 20kg of 15% copper and 30kg of 70% copper to get 48% of 50kg of alloy.

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Answer:

7/8 or 0.875

hope that helped <3

Answer:

He stays calm in tense situations.

Step-by-step explanation:

The actions described in the statement reveal that:

He stays calm in tense situations. Option B

Curdie doesn't panic or get paralyzed by terror when he becomes lost in the shadowy goblin tunnel. Instead, he maintains his composure and uses his intuition to find a way out of the difficult and stressful situation.

This character attribute is a sign of someone who can bear pressure and go through challenging situations with clarity and control as seen in this chapter here.

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Answer:

The company can manufacture 135 boxes of stuffed animals for $5000

Step-by-step explanation:

To find b, substitute $5000 for c(x), so

Then subtract 2300 from both sides of the equation, so

Finally divide both sides of the equation by 20, so

To check your answer substitute 135 in as b...

Answer:

1/6, 9/10, 7/5

Step-by-step explanation:

Answer:

I'mnot sure if you're asking for its roots..but here you go :)

Step-by-step explanation:

\( = 6 {x}^{2} + 19 + 9 {x}^{2} - 8 \\ = (6 {x}^{2} + 9 {x}^{2} ) + (19 - 8) \\ = 15 {x}^{2} + 8 \\ 15 {x}^{2} = - 8 \\ {x}^{2} = - \frac{8}{15} \\ \sqrt{ {x}^{2} } = \sqrt{ - \frac{8}{15} } \\ x = \sqrt{ \frac{8}{15}} \times \sqrt{ - 1} \\ x = \sqrt{ \frac{8}{15} } \times i \\ x1 = 0.7302i \\ x2 = - 0.7302i\)

The null hypothesis (H0) in this case would be that the proportion of clients who have high-risk stocks (p) is equal to or greater than 15%. The alternative hypothesis (Ha) would be that the proportion of clients who have high-risk stocks (p) is less than 15%.

To summarize:
Null hypothesis (H0): p >= 15%
Alternative hypothesis (Ha): p < 15%

The null hypothesis assumes that the proportion of clients with high-risk stocks is 15% or higher. This is the initial assumption that we are testing. The alternative hypothesis, on the other hand, suggests that the proportion is less than 15%.

By setting up these hypotheses, the brokerage firm can conduct statistical tests to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. This analysis will help the firm make informed decisions about the proportion of clients with high-risk stocks in their portfolio.

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Given:

(15x - 5)

To factor a number from another number means to divide both number.

If 5 is factored from both terms, we have:

15x ÷ 5 = 3x remainder 0

5 ÷ 5 = 1 remainder 0

Therefore, we have:

5(3x - 1)

Thus, the number that remains in the second term is .

This is because when 5 divides 5, the remainder is zero.

5 ÷ 5 = 1 remainder 0

ANSWER:

After factoring we have: 5(3x - 1)

The remainder in the second term is 0

Answer:

D

Step-by-step explanation:

I am confused but thats my guess

Answer:

Step-by-step explanation:

Độ dài vecto a= căn bậc hai của (-3)*(-3)+4*4=5

Answer:

5

Step-by-step explanation:

Answer:

E) 3/3

Step-by-step explanation:

12/15 ÷ X = 4/5

We need to divide the top and bottom by 3/3

12 ÷3 =4

15÷3 = 5

Answer:

\(-\infty \: < x < \infty\)

or, in interval notation as

\(\left(-\infty \:,\:\infty \:\right)\)

Step-by-step explanation:

The domain of a function \(f(x)\) is the set of all values of \(x\) for which \(f(x)\) is real and defined

The given function is f(x) = x³ + 6x² + 5

There are no undefined points. So the domain is the set of all real numbers that can be expresses as

\(-\infty \: < x < \infty\)

or, in interval notation

\(\left(-\infty \:,\:\infty \:\right)\)