Find a quadratic function associated with vertex (h, k) = (2, 1) and point (x, y) = (6, 7) that the parabola passes through.

Answer: the male sample is more spread than the female sample

Step-by-step explanation:

The mean is the same for both genres, but the standard deviation form males is bigger than the one for females.

This means that the data of the male students is more spread than the female data (so there are more male students that study more hours, but there also are more male students that study less hours).

So the general conclusion is that the male sample is more spread than the female sample

Answer: yes it's correct

Step-by-step explanation: yes it's correct

To determine the equation of a line given two points, calculate the slope and then use one point to write the equation in slope-intercept form. The equation of the line through (3, -6) and (-3, 0) is B. y = -x - 3.

To find the equation of the line that contains the points (3,
-6) and (
-3, 0), we need to calculate the slope (m) of the line using the slope formula:

m = (y2 - y1) / (x2 - x1).

Plugging in the given points:

m = (0 - (-6)) / (-3 - 3)

m = 6 / -6

m = -1.

With the slope now known, we can use one of the points and the slope to write the equation of the line in point-slope form (y - y1) = m(x - x1) and then convert it to slope-intercept form (y = mx + b). Let's use the point (-3, 0):

y - 0 = -1(x + 3)

y = -1x - 3.

Therefore, the correct equation of the line is B. y =
-x - 3.

Answer:

Step-by-step explanation:

B, C and D

Your correct answer is A: it will increase.

Hope this helps. :)

Answer:

perhaps $10 to $10,810

Step-by-step explanation:

We assume Crystal may be willing to babysit for a period of up to 3 months (90 days), so 90×24 = 2160 hours. Her hourly fee for that period will be ...

... (2160 hours) × ($5/hour) = $10,800

That amount added her $10 initial charge may represent the upper limit of her pay. The lower limit will be the $10 initial charge.

_____

Comment on the question

Since no upper limit on hours is given, we conclude the problem is not well-specified.

We can make a variety of different assumptions regarding the upper limit of babysitting time.

Answer:

The required number of total practice jerseys does she need to order is '4y'.            

Step-by-step explanation:

Given : Camelle manages her soccer team. She needs to order 4 practice jerseys for each player. There are y players.

To find :  How many total practice jerseys does she need to order?

Solution :

Let the total practice jerseys does she need to order be 'x'.

According to question,

She needs to order 4 practice jerseys for each player.

Number of players are y.

So, Total jerseys she needs is

[tex]x=4\times y[/tex]

[tex]x=4y[/tex]

Therefore, The required number of total practice jerseys does she need to order is '4y'.

Answer:

The correct answer would be -147

Step-by-step explanation:

By solving the system of linear equations formed from the scenario given, we find that the ice rink sold 34 general admission tickets and 61 youth tickets during the afternoon skating session.

This problem is a simple linear algebra problem. We can represent the total number of tickets with the variable x (for the general admission tickets) and y (for the youth tickets). The scenario provides us with two equations:

To solve the system of equations, we can multiply the first equation by 8 to have both equations involving '8y', which gives us 8x + 8y = 760.

Subtracting the first modified equation from the second gives: 2x = 68. Therefore, solving for x gives us x = 34. That means, there were 34 general admission tickets sold.

Substitute x=34 into x + y = 95, we get 34 + y = 95, which simplifies to, y = 61. That means, there were 61 youth tickets sold.

https://brainly.com/question/35467992

#SPJ2

Answer:

the diameter is 24

Step-by-step explanation:

The true statements are ...

2. All squares are rectangles.

3. Not all parallelograms are rectangles.

_____

The attached diagram shows the relationships between various quadrilataral types. The line connecting a lower box to a higher box means "all of the lower box is a higher box." For example, all square are rectangles, and all rectangles are parallelograms.

However, it is typical for a higher box to have several different lower boxes. That is "a higher box may be any of the list of lower boxes or none of them" For example, a parallelogram may be a rhombus or a rectangle or neither.

Explanation of finding the least common denominator of rational expressions.

The least common denominator of the rational expressions provided is option (d): x(x+3).

To find the LCD, first factor each denominator completely. Then, identify the unique factors and their highest powers. The LCD will be the product of these unique factors raised to their highest powers.

Answer:

6/20 = 3/10

Step-by-step explanation:

Her brother gets the first treat.  There are 2 grape treats out of 3+2 = 5 total; this is a probability of 2/5.

Maggie gets the second treat.  There will still be 3 cherry treats left, but only 5-1 = 4 treats remaining; this is a probability of 3/4.

Together this gives us 2/5(3/4) = (2*3)/(5*4) = 6/20 = 3/10

Answer:

3/10 or 6/20

Step-by-step explanation:

Answer:

[tex]\large\boxed{x=-\sqrt{10}\ or\ x=\sqrt{10}}[/tex]

Step-by-step explanation:

[tex]x^2=10\iff x=\pm\sqrt{10}[/tex]

The solution of the equation is  x = ±3. 162.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.

Given:

x² = 10

Now to solve the above equation we have to take the square root on both side, we get

√x² = √10

x= ±√10

x= ±3. 162 ( because root provides two values one is positive and other is negative)

Hence, the value of x is  ±3. 162.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ6

Answer:

Median is decreased by the outlier or Outlier made median lower.

Step-by-step explanation:

First we calculate median of the data without an outlier:

Data in Ascending or increasing order ,

105 , 108 , 109 , 113 , 118 , 121 , 124

Now there are 7 terms so

Median = [tex]\frac{7+1}{2}^{th}\:term[/tex] = 4th term = 113

Now we find median of the data with outlier:

Data in ascending or descending order,

61 , 105 , 108 , 109 , 113 , 118 , 121 , 124

here no of terms are 8.

So, Median = [tex]\frac{(\frac{8}{2})^{th}+(\frac{8}{2}+1)^{th}}{2}[/tex]

                   = [tex]\frac{4^{th}+5^{th}}{2}=\frac{109+113}{2}[/tex]

                   = 111

So, Median is decreased by the outlier or Outlier made median lower.

For this case we have the following vectors:

[tex]a = 4i - 4j\\b = 4i + 5j[/tex]

We must find the product point of both vectors.

To do this, we multiply component by component and add the results.

We have then:

[tex]a.b = (4) (4) + (-4) (5)\\a.b = 16 -20\\a.b = -4[/tex]

Answer:

The point product of both vectors is given by:

[tex]a.b = -4[/tex]

To determine the time needed for an investment to double at a 5% compounded annual rate, apply the Rule of 72 by dividing 72 by the interest rate, resulting in approximately 14.4 years.

The question pertains to the time it takes for an investment to double in value with compound interest. To calculate this, we can use the Rule of 72. This rule states that you can approximate the number of years it'll take for an investment to double by dividing 72 by the annual interest rate. In this case, with a 5% interest rate, it would be calculated as 72 \/ 5, which equals approximately 14.4 years.

Here's a step-by-step explanation:

Apply the Rule of 72 by dividing 72 by the interest rate: 72 ÷ 5 = 14.4.

Therefore, it will take roughly 14.4 years for the sum of money to double at an annual compounded interest rate of 5%.

This is a quick and efficient way to estimate the power of compound interest and make informed investment decisions.

Suppose there are x number of members in all.

Now we are given that 60% of these are boys.

So number of members who are boys = 0.6x

We are also given that there are 21 boys in the choir.

So making an equation ,

[tex] 0.6x =21 [/tex]

dividing both sides by 0.6,

x= 35

So there are total 35 members in the choir.

The complex number 3, in trig form, would be 3 cos 0 degrees. This is a ray from the center, right, along the x-axis, for a distance of 3 units.

Answer:

Step-by-step explanation:

3(cos(0)+isin(0))