A magician performing a magic act has asked for 2 volunteers from the audience to help with his routine. If there are
250 people in the audience, which of the following expressions represents the number of possible pairs of volunteers ?
.

Answer:

acc to ques ...total area=160=area of parallelogram + area of triangle

b×h +1/2×b×h=160

14×10+5x=160.....(let base of triangle =b=x)

5x=20

x=4......

Answer:

7.362

Step-by-step explanation:

Given :

Mean = 35

Score, x value = 23

Zscore = - 1.63

Recall the Zscore formula :

Zscore = (X - mean) / standard deviation

-1.63 = (23 - 35) / standard deviation

-1.63 = - 12 / standard deviation

standard deviation * - 1.63 = - 12

Divide both sides by - 1.63

Standard deviation = - 12 / - 1.63

Standard deviation = 7.362

Answer:

#3= 8   #4=2   #5= 4,3   #6= 5  #7= 8   #8=9

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

-7 - 4 -(-6)

-7 + - 4 - (-6)

-11 - (-6)

-11 + 6 = -5

Step-by-step explanation:

When looking at -7- 4, you can use the KCC rule, Keep, Change, Change. -7 would stay the same, but - would turn into a + and so would 4 to -4.

Now, -7 + - 4 would equal to -11. And bring down the -(-6).

When you look at two negative signs the become a positive sign, so it would now be +6.

Now, you subtract because 11 is the bigger number and you have to take it's sign, which is negative to the answer.

Therefore, your answer is -5. Hope this helps

Answer:65

Step-by-step explanation:

Length of first, second and third piece are 5, 15 ,25 inch

Given that;

Length of board = 45 inch

Second cut is 3 times as long as the first piece

Third cut is 5 times as long as the first piece

Find:

Length of all three piece

Computation:

Assume;

Length of first piece = a

So,

Length of second piece = 3a

Length of third piece = 5a

So,

Length of first piece + Length of second piece + Length of third piece = Total length

a + 3a + 5a = 45

9a = 45

a = 5

So,

Length of first piece = a

Length of first piece = 5 inch

Length of second piece = 3a = 3(5)

Length of second piece = 15 inch

Length of third piece = 5a = 5(5)

Length of third piece = 25 inch

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Answer:

Step-by-step explanation:

Answer:

2 and 2/3 mph

Step-by-step explanation:

The computation of the speed when he wants to keep the same distance is shown below:

Given that

Jenny left her house at 8:00AM

Went for a school at a speed of 2 and 2/3 mph

And, her brother left the house minutes later

So here the speed would be the same i.e.  2 and 2/3 mph

Answer:

4, 802 cans will be collected in two weeks

Step-by-step explanation:

343 aluminum cans = 1 day

? = 2 weeks

2 weeks = 14 days

So, 343 x 14 = 4, 802

Answer:

32 siblings from the class theres a possibility that some students had more siblings and not everyone has one

Step-by-step explanation:

.

The probability that a student chosen randomly from the class has a brother and a sister is [tex]\frac{1}{15}[/tex].

The chance that something will happen, or how likely it is that an event will occur.

probability of an event = [tex]\frac{number of favorable outcomes}{Total number of outcomes}[/tex]

According to the given question

we have total 30 students.

6 have a brother

12 have a sister

and 14 who don't have any siblings

If we se the provided Venn diagram

the number of students who have only sister is 10

and the number of student who have only brother is 4.

because, 6+12+14 = 32

but we have only 30 students

⇒ 2 students has a brother and a sister.

therefore,

the probability that a student chosen randomly from the class has a brother and a sister = [tex]\frac{number of students as a brother and a sister}{total number of students}[/tex]= [tex]\frac{2}{30}[/tex] =[tex]\frac{1}{15}[/tex]

Hence, the probability that  the chosen student from the class has a brother and sister is [tex]\frac{1}{15}[/tex].

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Answer:

[tex]8 .3 \times 2.10.5[/tex]

Step-by-step explanation:

Simplify 6 - 1 to 5.

[tex]8.3 \times 2.10 .5[/tex]

Therefor, the answer is 8.3 × 2.10.5

Answer:

The x graph

Step-by-step explanation:

The x graph

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 4x^2 + 6xy + 2y^2

Step-by-step explanation:

(2x + y)(2x + 2y) =

2x*2x + 2x*2y + y*2x + y^2y =

4x^2 + 4xy + 2xy + 2y^2 =

4x^2 + 6xy + 2y^2

Answer:

4x² + 6xy + 2y²

Step-by-step explanation:

Given

(2x + y)(2x + 2y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x + 2y) + y(2x + 2y) ← distribute both parenthesis

= 4x² + 4xy + 2xy + 2y² ← collect like terms

= 4x² + 6xy + 2y²

Answer:

12s

Step-by-step explanation:

5s + 7s = (5 + 7) s= 12s

This is your answer

Answer:

im pretty sure its 3 plz tell me if im wrong im new here but i think its right

Step-by-step explanation:

Answer:

91.08

Step-by-step explanation:

To find diameter, divide the circumference by pi or 3.14

286/3.14 = 91.0828025

Round to nearest hundredth

answer:

haha my teacher saw my screen ( since im in-school ) and he said that you were a trapezoid

i would have answered this question in more detail but i didnt know how to, hope this help tho! :)

Answer:

A. 15

Step-by-step explanation:

Answer:

it is 12+3x your welcome

The sum of two trinomials is 4x³ + 3x then one trinomial is x³ + 2 then the other is written as 3x³ + 3x.

Let's assume the two trinomials are A and B. We are given that the sum of these two trinomials is equal to 4x³ + 3x. Mathematically, we can represent this as:

A + B = 4x³ + 3x

Now, we are also given one of the trinomials, which is x³ + 2, and we need to find the other trinomial (B).

To find B, we need to isolate it on one side of the equation. Let's rearrange the equation:

B = 4x³ + 3x - A

Now, we need to determine the value of A. We can do this by comparing the given trinomial with the general form of a trinomial, which is ax³ + bx^2 + cx.

From the given trinomial x³ + 2, we can identify that a = 1 (coefficient of x³) and b = 0 (coefficient of x²), since there is no x² term. The coefficient of x is c = 0 (since 3x = 3x¹, there is no constant term in this expression).

Now, we can write A in terms of its coefficients:

A = 1x³ + 0x² + 0x

A = x³

Now, we can substitute the value of A back into the equation for B:

B = 4x³ + 3x - x³

B = 3x³ + 3x

So, the other trinomial (B) is 3x³ + 3x.

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Complete Question:

The sum of two trinomials is 4x³ + 3x then one trinomial is x³ + 2 then the other is

Answer:

yu and justin

Step-by-step explanation:

Answer:

- 12°C

Step-by-step explanation:

Given :

Temperature in the morning = - 8°C

In the afternoon, temperature drops an additional 4°C

A temperature drop mean a reduction in the initial temperature :

Afternoon temperature = morning temperature - 4°C

Afternoon temperature = - 8°C - 4

After oon temperature = - 12°C

Answer:

the correct anwser is b b cause they both are positive y intercepts

Answer:

A)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The solution to this is to add the two vertically opposite arcs and take 1/2 of the result to get the intersecting angle of the chords.

Solution

<x = 1/2 (arc measure of 116 + 74)

<x = 1/2 (190)

<x = 95

Answer:

11.5

Step-by-step explanation:

-1*-11.5=11.5

uv= u times v

-1 times -11.5 equals 11.5

Answer:

Slope of the line of best fit = -0.34868

Step-by-step explanation:

From the figure attached,

Coordinates of the points lying on the given line are (2, 3), (2, 5), (2, 6), (3, 5), (4, 3), (5, 4) and (7, 3)

By using the linear regression calculator,

Equation of the line of best fit → y = -0.34868x + 5.38816

Comparing this equation with, y = mx + b

Slope of the line of best fit → m = -0.34868