If p=-4 and q=5 evaluate the following:

pq-(p-q)
= -11
p^2+3q​

Answer:

Step-by-step explanation: scale factor is 1/10 the length of a is 1 the length of b is 8.5

The scale factor is 1/10, the length of A is 1 cm and the length of B is 8.5 cm.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

From the given figure,

Scale factor = 6.2/62

= 1/10

The length of A = 1/10 ×10 cm

= 1 cm

The length of B = 1/10 ×85 cm

= 8.5 cm

Therefore, the scale factor is 1/10, the length of A is 1 cm and the length of B is 8.5 cm.

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Answer:

The value is [tex]P(X = 3) = 0.1798[/tex]

Step-by-step explanation:

From the question we are told  that

    The rate is  [tex]\lambda = 8.6 \ hr ^{-1}[/tex]

General probability distribution for Poisson distribution is mathematically represented

                [tex]P(X = x) = \frac{(\lambda * t)^{x} }{x!} * e^{-\lambda * t}[/tex]

Given that is in per hour then the unit of t is in hours

Generally  30 minutes   = [tex]0.5 \ hours[/tex]

Generally the probability that 3 customers arrive in the first 30 minutes is mathematically represented

        [tex]P(X = 3) = \frac{( 8.6 * 0.5 )^{3} }{3!} * e^{-8.6 * 0.5 }[/tex]

=>      [tex]P(X = 3) = 0.1798[/tex]

Answer:

21.715 degrees.

Step-by-step explanation:

There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.

Answer:

[tex]P(X\geq 2) = 0.375[/tex]

Step-by-step explanation:

Given

X   ------0 --------1 -------- 2--------- 3

P(X) --.1875 -.4375 ---.3125 --- .0625

Required

Determine [tex]P(X\geq 2)[/tex]

This is calculated as:

[tex]P(X\geq 2) = P(X = 2) + P(X = 3)[/tex]

[tex]P(X\geq 2) = 0.3125 + 0.0625[/tex]

[tex]P(X\geq 2) = 0.375[/tex]

Answer:

zx = 5g(2x-c)              

zx = 10gx - 5gc

zx - 10gx = - 5gc

answer is x = 5cg/10g-z

Step-by-step explanation:

im sorry if its not the right answer but i think its right

Answer:

the answer would be 3.73

Step-by-step explanation:

all you gotta do is subtract 39.51 and 35.78 and you get your answer

Answer:

Step-by-step explanation:

let the total cost be y

and let the number of weeks be x

Daily Info charges

y=650+80x---------1

People's Paper charges

y=145x---------------2

equating 1 and 2 to solve for x we have

650+80x=145x

650=145x-80x

650=65x

x=650/65

x=10

Therefore the answer is 10 weeks

Answer:

The question is not complete, below is the completed question:

These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor.

1. Triangle G and Triangle F

2. Triangle G and Triangle B

3. Triangle B and Triangle F

4. Triangle F and Triangle H

5. Triangle G and Triangle H

6. Triangle H and Triangle B

Answer:

1. Triangle G and Triangle F  = 4 times

2. Triangle G and Triangle B  = 0.2 times

3. Triangle B and Triangle F  = 16 times

4. Triangle F and Triangle H  = 0.11 times

5. Triangle G and Triangle H  = 0.44 times

6. Triangle H and Triangle B = 0.56 times

Step-by-step explanation:

using the image of the triangles attached to this solution, let us calculate the area of each pair of triangles

1. Area of Triangle = [tex]\frac{base\ \times\ height}{2}[/tex]

[tex]F = \frac{6 \times 8}{2} = \frac{48}{2} = 24\\B = \frac{\frac{3}{2} \times 2 }{2} = \frac{3}{2} = \frac{3}{2}\\ G = \frac{3 \times4}{2}= \frac{12}{2} = 6\\ H = \frac{2 \times \frac{8}{3} }{2} = \frac{16}{6} = \frac{8}{3}[/tex]

To find by how many times the second triangle is larger than the first, we will calculate the ratio of the areas of the second triangle to the first

1. Triangle G and Triangle F  = 24:6 = 4

∴ The area of triangle F is 4 times larger than triangle G

2. Triangle G and Triangle B  = 3/2 : 6 = [tex]\frac{1}{4}[/tex] = 0.2

∴ The area of triangle B is 0.2 times larger than triangle G

3. Triangle B and Triangle F  = [tex]24 : \frac{3}{2} = 16[/tex]

∴ The area of triangle F is 16 times larger than triangle B

4. Triangle F and Triangle H  = [tex]\frac{8}{3} : 24 = \frac{1}{9} = 0.11[/tex]

∴ The area of triangle H is 0.11 times larger than triangle F

5. Triangle G and Triangle H = [tex]\frac{8}{3} : 6 = \frac{4}{9} = 0.44[/tex]

∴ The area of triangle H is 0.44 times larger than triangle G

6. Triangle H and Triangle B = [tex]\frac{3}{2} : \frac{8}{3} = \frac{9}{16} = 0.56[/tex]

∴ The area of triangle B is 0.56 times larger than triangle H

Answer: 0.2254

Step-by-step explanation:

Let E= Event of getting of female lives in a dorm.

F = Event of getting of female lives in a 'Other'.

From the table , n(E) = 276  and n(F) = 99

and n(E∩F) = 0  [E and F are Mutually exclusive]

Now, n(E∪F)=  n(E) + n(F) - n(E∩F)

= 276+99-0

= 375

also, n(S) =1664       (Sample size)

Required probability : [tex]P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}[/tex]

[tex]=\dfrac{375}{1664}\approx0.2254[/tex]

Hence, the  probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254

Answer:331.5

Step-by-step explanation:

Multiplication is the process of multiplying. The amount that is made by Joe last week is $331.5.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 39 hours last week. Therefore, the amount that is made by Joe Mathis in the last week is,

Amount made by Joe = Amount paid per hour × Number of hours

                                 = $8.50 per hour × 39 hours

                                 = $331.5

Hence, the amount that is made by Joe last week is $331.5.

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Answer:

put one point at (0,3)

put another point at (1,-3)

draw a line between them

Step-by-step explanation:

could u vote me brainliest plz? thx :)

The standard formula for calculating the equation of a line is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept of the line

Given the equation to graph expressed as g(x) = 3 - 6x

First, we need to get the x and y-intercept of the line expressed as:

For the x-intercept, y = 0

0 = 3 - 6x

6x = 3

x = 0.5

The x-intercept is at (0.5, 0)

For the y-intercept, x = 0

y = 3 - 6(0)

y = 3

The y-intercept is at (0, 3)

Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;

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Answer:

99.7%

Step-by-step explanation:

Empirical rule formula states that:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question, we have mean of 98.18 F and a standard deviation of 0.65 F

The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 ​F is

μ - 3σ

= 98.18 - 3(0.65)

= 98.18 - 1.95

= 96.23 F

μ + 3σ.

98.18 + 3(0.65)

= 98.18 + 1.95

= 100.13 F

Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 ​F which is within 3 standard deviations of the mean is 99.7%

Answer:

c

Step-by-step explanation:

the number line says less than 4 so if you solce for all the equations c will be x<4

Answer:

1040

Step-by-step explanation:

Answer:

(x+2)+(x-6)=16

Step-by-step explanation:

the center of the circle is (h, k)

In this case it's (-2,6)

the radius is 4 which is known as r

the formula is: (x-h) + (x-k)= r^2

then you just plug it in

Answer:

are we looking for the intercept

Step-by-step explanation:

ex. an analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

x=00s

Step-by-step explanation:

Answer:

It is 0

Step-by-step explanation:

Answer:

1-1 is 0 if it was 1-2 it would be -1

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

8/13

Step-by-step explanation:

In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).

P(A∪B)=P(A)+P(B)-P(A∩B)

There are 26 black cards in a standard deck so,

P(A)=26/52.

There are 12 face cards in a standard deck so,

P(B)=12/52.

There are 6 cards that are black face cards.

P(A∩B)=6/52.

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=26/52+12/52-6/52

P(A∪B)=38/52-6/52

P(A∪B)=32/52

P(A∪B)=8/13

Thus, probability of drawing a black card or a face card is 8/13.

Answer:

Sophia is not correct

Step-by-step explanation:

The given situation represent the problem of a ratio and it is predicted to do the simplify the ratio by determining the smallest possible values

Here it can be presented 60:36 as a fraction i.e. [tex]\frac{60}{36}[/tex]

Now the fraction should be fall by dividing both the numerator and denominator by a common factor i.e. 6

Now after dividing it, the fraction would be [tex]\frac{10}{6}[/tex]

Now it can be further reduced by a common factor i.e. 2

So now the fraction is [tex]\frac{5}{2}[/tex]

Thus, the ratio is 5:2

Hence, she is not correct

Answer:

x=-7

Step-by-step explanation:

[tex]2x - x = - 4 - 3[/tex]

[tex]x = - 7[/tex]

i think this is the answer

Answer:

x = -7

Step-by-step explanation:

subtract 3 from both sides and subtract x from both sides

x = -7

Answer:

7.19

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

-28+53

Hope this helps! :)

Yes and opposite and an absolute value of an integer will be the same.