Missy rode her bicycle 16 miles in 1 1/4 hours. What was her average speed in miles per hour

Two students are selected at random from the class this can be done in 45 ways.

It is necessary for there to be one girl and one boy this is done in 24 ways.

In a given class there are six( 6 ) girls and four( 4 ) boys.

In this case, there are given two cases that two students are selected at random from the class, In how many ways can this be done

And the other case is it necessary for there to be one girl and one boy, how many ways are possible

To solve the two cases we use Combinations;

Total number of students in a class = 6 + 4 = 10

For case ( 1 ):

Two students are selected at random from the class this can be done by;

A = ¹⁰C₂

A = [tex]\frac{10!}{2!*(10-2)!}[/tex]

A = 45

For case ( 2 ):

It is necessary for there to be one girl and one boy thus is done by;

B = ⁶C₁ ˣ ⁴C₁

B = [tex]\frac{6!}{1!*(6-1)!} \\[/tex] ×[tex]\frac{4!}{1!*(4-1)!}[/tex]

B = 6 × 4

B = 24

Two students are selected at random from the class this can be done in 45 ways.

It is necessary for there to be one girl and one boy this is done in 24 ways.

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The equation is x = -4.

Use slope and slope intercept form  y = mx + b,

Slope = y2 - y1/x2 - x1

Slope = 5 - (-2 )/-4 - (-4) = 7/0 = undefined

Equation of point-slope form,

(y-(-2)) = 7/0(x-(-4))

y+2 = 7/0(x+4)

7(x+4) = 0

x = -4

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Answer:

v = -7

Step-by-step explanation:

-38 = -3 + 5v

add 3 to both sides:

-38 + 3 = -3 + 5v + 3

-35 = 5v

divide both sides by 5:

-35/5 = 5v/5

v = -7

If Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. Then after 14 weeks Megan and Connor have saved the same amount.

Two or more expressions with an equal sign is called as equation.

Let  x=the number of weeks

For Megan we have:

50+5.5x

For Connor we have:

18.50+7.75x

Let us equate Megan's and Connor to have same amount.

50+5.5x=18.50+7.75x

Let us take variables on one side and numbers on other side.

50-18.50=7.75x-5.5x

31.5=2.25x

Divide both sides by 2.25

x=14

Hence after 14 weeks Megan and Connor have saved the same amount.

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Answer:

15 pumpkins.

Step-by-step explanation:

Lola is selling 4 pumpkins for $10 which means 1 pumpkin for $2.50, divide $37.50 by $2.50 & you get 15 pumpkins total.

The options that are clearly sources of intentional bias include:

It should be noted that bias in sampling simply gives an inaccurate information about the population.

It should be noted that using news devices for some people and using old devices is a bias that's intentional.

Also, when the test is taken using a computer, those that don't have computers will be affected. This is bias.

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The value that will be equal to 1 is D. 3^0.

It should be noted that this is a straightforward question. In this case, it's important to find the values and get the answer that is equal to 1.

In this case, it should be noted that:

2 + 3 + 4 = 9

It should be noted that:

2 × 1 = 2

It should be noted that:

3¹ = 3

It should be noted that:

3^0 = 1

Therefore, the correct option is D.

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Which of the following is equal to 1

(a) 2 + 3 +4 (b) 2 × 1 (c) (3¹ d) 3^0

PLEAZE HELP

Answer: 0.16 (can I get a brainest point plssssss :)

Step-by-step explanation:

2 of 1250 can be written as:

2

1250

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

2

1250

×

100

100

= (

2 × 100

1250

) ×

1

100

=

0.16

100

Therefore, the answer is 0.16%

If you are using a calculator, simply enter 2÷1250×100 which will give you 0.16 as the answer.

Answer:

6.25%

Step-by-step explanation:

Answer:

Step-by-step explanation:

lol i poopeed

Answer:

ry shortening your search to focus on the most important keywords or phrases.

Step-by-step explanation:

The most appropriate choice for percentage will be given by-

a)Percentage of people arrive at their office before 7 am = 10%

b)Percentage of people arrive at their office after 7:59 am = 64 %

What is percentage?

Suppose, there is ratio of two numbers and it has to be expressed as a fraction of 100, percentage is that ratio.

So percentage is the ratio of two numbers expressed as a fraction of 100.

Here,

a) Number of people arrive at their office before 7 am = 15

Total number of people = 15 + 39 + 75 + 21

                                        = 150

Percentage of people arrive at their office before 7 am = [tex]\frac{15}{150}\times 100[/tex]

                                                                                            = 10%

b)Number of people arrive at their office after 7:59 am = 75 + 21

                                                                                           = 96

Percentage of people arrive at their office after 7:59 am = [tex]\frac{96}{150}\times 100[/tex]

                                                                                              = 64 %

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Answer:

David: $50.00

Pam: $47.50

Step-by-step explanation:

David:

first 10 lb $2 per lb

Additional lbs are $1

When buying 40 pounds:

first 10 lbs: $2 × 10 = $20

other 30 lbs: $1 × 30 = $30

total cost: $20 + $30 =  $50.00

_______________

Pam:

$10 entrance fee

first 10 lb $1.5 per lb

Additional lbs are $0.75

When buying 40 pounds:

Entrance: $10

first 10 lbs: $1.5 × 10 = $15

other 30 lbs: $0.75 × 30 = $22.5

total cost: $10 + $15 + $22.50 =  $47.50

Since the multiplication of the matrices (A x B) x C and A x (B x C) are equal, the multiplication of matrices is associative.

Matrices are multiplied multiplying the lines of the first matrix by the columns of the second matrix.

The multiplication of the matrices being associative means that:

(A x B) x C = A x (B x C).

Hence, applying the rules, of the multiplication of the lines by the columns, we have to solve for the two cases, and find the results.

Then:

[tex](AB)C = \left[\begin{array}{ccc}11&-8&37\\21&28&15\end{array}\right] \times \left[\begin{array}{c}1\\-2\\0\end{array}\right][/tex]

As the multiplication of a 2 x 2 matrix by a 2 x 3 matrix results in a 2 x 3 matrix, and then we multiply by C as follows:

[tex]\left[\begin{array}{ccc}11&-8&37\\21&28&15\end{array}\right] \times \left[\begin{array}{c}1\\-2\\0\end{array}\right] = \left[\begin{array}{c}27\\-35\\\end{array}\right][/tex]

Multiplying the lines by the columns, we have that the first line is, for example:

11 x 1 - 8 x (-2) + 37 x 0 = 27.

In the second case, the multiplication of B and C is given by:

[tex]BC = \left[\begin{array}{c}5\\-8\end{array}\right][/tex]

Multiplying by A, we get the same result as above, hence the multiplication of matrices is associative.

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Answer:

  (d)  y -8 = -5/8(x +8)

Step-by-step explanation:

You want the point-slope equation for the line through the points listed in the table.

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

The first point listed in the table is (h, k) = (-8, 8), so the equation will be of the form ...

  y -8 = m(x -(-8))

  y -8 = m(x +8)

Comparing this form to the answer choices, we see that it matches choices (b) and (d). These have m = -8/5 and m = -5/8, respectively.

The slope of the line is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 7/8 -8)/(-3 -(-8)) = (-3 1/8)/5

Clearly the magnitude of this is less than 1, so cannot match m=-8/5, which has a magnitude greater than 1. The appropriate answer choice is (d):

  [tex]\boxed{y-8=-\dfrac{5}{8}(x +8)}[/tex]

__

Additional comments

The slope can be worked out to be ...

  (-3 1/8)/5 = (-25/8)/5 = -5/8

This confirms our answer choice.

We know the magnitude of (-3 1/8)/5 is less than 1 because 3 1/8 < 5.

Answer:

f(-7) = 58

Write the problem:

f(x) = -x^2 + x + 16

Plug -7 into the equation:

f(-7) = (-7)^2 + (-7) + 16

Solve:

f(-7) = 49 + (-7) + 16

f(-7) = 42 + 16

f(-7) = 58

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The fact that voting might not be compulsory will make the voter ranks the candidate as their proximity, and the median voter wins the vote

The fact that resources are needed to finance reelection campaigns will make the probability of the median voter be in danger

According to median voter model theorem, at-least there must be two candidates

Being that we have two candidates for elected office, let's see how the following may affect the conclusions of the median voter model:

Part a

Voting might not be compulsory:

Here, voter ranks the candidates as per as their proximity, and the median voter will win the vote.

Part b

Resources are needed to finance re-election campaign :

When resources are needed to finance reelection campaign, none can cast their votes and it will distort this strategy. So the probability of median voter is in danger.

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The alternate hypothesis for the directional z-test is:

Local resident's average > National average

A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.

One of the ideas put out in the hypothesis test is the alternate hypothesis.

A researcher wants to know if people in his neighborhood have a better well-being than people nationwide.

The appropriate hypothesis for a one-tailed or directional z test for the test will be that the average local residents are higher than the national average.

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The most appropriate choice for algebraic expressions and like terms will be given by the like terms of [tex]9x^3, 16x^2y, -8x^3,12xy^2,6x^3[/tex] are [tex]9x^3, -8x^3, 6x^3[/tex]

What are algebraic expressions and like terms?

Algebraic expressions are the expressions consisting of numbers, variables and arithmetic operations.

[tex]2x + 3y + z[/tex] is an example of algebraic expression. An algebraic expression consists of one or more terms.

The terms having the same variable are known as like terms.

Here,

The terms of [tex]9x^3, 16x^2y, -8x^3,12xy^2,6x^3[/tex]  having the same variables are

[tex]9x^3, -8x^3, 6x^3[/tex].

So the like terms of [tex]9x^3, 16x^2y, -8x^3,12xy^2,6x^3[/tex] are [tex]9x^3, -8x^3, 6x^3[/tex].

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Complete Question

Find the like terms in [tex]9x^3, 16x^2y, -8x^3,12xy^2,6x^3[/tex].

Using the probability concept, the proportion of times do we expect the practitioner to guess the correct hand is of 0.44.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

The probability can be interpreted as the proportion of times that we expect a trial to happen.

In the context of this problem, this probability is of 44%, as stated for Emily's model, that is, out of 100 trials, the correct answer was obtained in 44 of them, hence the proportion of times do we expect the practitioner to guess the correct hand is of 0.44.

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Answer:

p=  - 50

Step-by-step explanation:

Move the p variables to one side and the constant numbers (intergers) to the other

-91=6p + 9 - 4p

-91 - 9 = 6p- 4p

-100 = 2p

[tex]\frac{-100}{2}[/tex] = [tex]\frac{2p}{2}[/tex]

-50 = p

p= -50

ANSWER: p=50

-91=6p + 9 - 4p solve for p

1. 6p - 4p = 2p

2. -91= 2p + 9

-91-9= 100

3. 100 = 2p

p= 100/2

p= 50

The inequality that represents the values of x that ensure the triangle ABC exists is 0.5 < x < 7.5

Inequality is a term used in mathematics to represent a relation that makes an unequal comparison between two functions.

As the lengths of the sides of the triangle are 6.5 units, 3.5 units, and 2.5 + x units, we can use the property which states that the sum of two sides of the triangle is always greater than the third side, therefore;

6.5 + 3.5 > 2.5 + x

10 > 2.5 + x

10 - 2.5 > x

x < 7.5

Now we use the property which states that the difference between two sides of the triangle is always less than the third side of that triangle as follows;

6.5 - 3.5 < 2.5 + x

3 < 2.5 + x

3 - 2.5 < x

0.5 < x

Now we combine both values as follows;

0.5 < x < 7.5

Therefore the inequality that represents the values of x is 0.5 < x < 7.5

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The rate at which the radius is changing when the radius is 7 centimeters and the height is 6 centimeters is -0.8571 cm/s

dr/dt = -0.8571 cm/s

A cylinder's volume can be calculated using...

V = πr²h

For a constant volume, by differentiating with respect to t, we obtain...

0 = π(2rh·dr/dt + r²·dh/dt)

Finding for dr/dt, we have ...

dr/dt = dh/dt(-r²/(2rh)) = (dh/dt)(-r/(2h))

Filling in the given numbers gives ...

dr/dt = (0.5 cm/s)(-7 cm)/(2·6 cm)

dr/dt = -0.8571 cm/s

Therefore, the rate at which the radius is changing when the radius is 7 centimeters and the height is 6 centimeters is -0.8571 cm/s

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The polynomial in standard form that represents the perimeter of the quadrilateral is 12x - 3

The quadrilateral is a plane that has four sides.

The sides of the quadrilateral are

3x-2, 2x+1, 5x-2 and 2x

The perimeter of the quadrilateral is the sum of all the sides of quadrilateral

The perimeter of the quadrilateral = 3x-2 + 2x+1 + 5x-2 + 2x

Rearrange the terms and add or subtract the like terms

= 3x + 2x + 5x + 2x -2 + 1 - 2

= (3+2+5+2)x - 2+1-2

= 12x - 3

Hence, the polynomial in standard form that represents the perimeter of the quadrilateral is 12x - 3

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The relationship between the cups of flour and the number of healthy muffins baked is C = 11M.

An equation is a representation variable and constants on both sides of the equality showing that terms of both sides of the equality sign are equal.

According to the given Fatima uses 3 cups of flour to bake 33 healthy muffins.

Assuming no. of cups to be C and no. of Muffins to be M.

If we divide M/C we get a scale factor of 11.

∴  The relationship between the cups of flour and the number of healthy muffins baked is C = 11M Or M = C/11.

We can put values of C and M to confirm that our equation is correct.

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Answer:

C  ( third choice )

Step-by-step explanation:

It has two equations with the operator  ' > '   ( due to the dashed lines )

  and one equation with the operator  ' ≤ '   ( due to the solid line)

So that narrows the choices to  B  or C

   C  fits the line on the Left of the graph

         when x = - 4       y = -3 (-4) - 6 = 12 -6 = 6

Answer

(5/4) < 1.3 < 1 (8/25)

Explanation

We are told to order the given numbers from the least to the greatest number.

To do that, we will need to express the numbers in decimal form, so it is evident which one is bigger.

1 (8/25)

= 1 + (0.32)

= 1.32

1.3

= 1.30

(5/4)

= 1.25

We can easily see that

1.25 < 1.30 < 1.32

In the form of the numbers given, we have

(5/4) < 1.3 < 1 (8/25)

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For a sale of $8400 made his gross pay is $373.21

In this question, we have been given Mike Lasueze is guaranteed a minimum salary of $220 per week or 5.5 percent of his total sales, whichever is greater.

We need to find his gross pay for a week in which his total sales were $8,400

weekly pay = $220

commission = 5.5% of sales

                    = 0.055 of sales

Let m be the total sale and his gross pay be represented by y.

So, we get an equation for the total/gross pay:

y = 0.055x + 220

Required is the gross pay y for x = 8400

y = 0.055(8400) + 220

y = 682

Therefore, for a sale of $8400 made his gross pay is $373.21

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Answer:

321

Step-by-step explanation:

14x(4+17)+38-11

(we solve what's in the brackets first)
=14x(21)+38-11

(we solve the multiplication)

=294 + 38 -11

=321

Answer:

140,000

Step-by-step explanation:

math just times and for the 1/⁵ is 16