a. 8
b. 4
c. 16
d. 12

Answer:

5x^2+3x^2+(3x+1)^2+(2x-4)^2

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Explanation:

Let's label the friends as A,B,C,D.

Person A has a probability of 7/16 when it comes to ordering a certain color of cotton sweatshirt.

Then 6/15 is the probability for person B. Note how the 7 and 16 drop by 1 for each. This is because no repeats are allowed. If person A goes for a blue sweatshirt, then person B cannot select blue as well.

Person C's probability is 5/14 and person D has a probability of 4/13

-------------------------

So we have these fractions: 7/16, 6/15, 5/14, 4/13

Once again, we have the numerators and denominators counting down by 1 each time.

Multiplying those fractions gets us...

(7/16)*(6/15)*(5/14)*(4/13)

(7*6*5*4)/(16*15*14*13)

840/43680

(1*840)/(52*840)

1/52

So if you did 52 trials of this, then you should expect about 1 of those trials is where each friend orders a different color cotton sweatshirt.

1/52 = 0.0192 = 1.92% approximately

So this happens about 1.92% of the time.

Answer:

D. b2 = 22 + 62-2bc.cos(B)

Answer:

See explanation

Step-by-step explanation:

The two linear equations can be solved simultaneously;

4x+3y=8 -----(1)

−2x−3y=−4---(2)

If we multiply equation (1) by 1 and equation (2) by (2)

We have;

4x+3y=8 -----(3)

-4y - 6x = 4 ---(4)

Adding equation (3) and (4)

-3x = 12

x= -4

Substitute x = -4 into equation (1)

4(-4) + 3y = 8

-16 + 3y = 8

3y = 8 + 16

y= 24/3

y= 8

Hence;

x= -4 and y =8

Answer:

I think that ans is A.....

Answer:

x = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Here you have to use the Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

STEP 1: Define your variables

a and b are the legs of the triangle, and c is the hypotenuse

a = 7

b = x

c = 9

STEP 2: Plug the variable into the equation

7^2 + x^2 = 9^2

STEP 3: Solve

7^2 + x^2 = 9^2

49 + x^2 = 81

49 - 49 + x^2 = 81 - 49

[tex]\sqrt{x}[/tex]^2 = [tex]\sqrt{32}[/tex]

x = [tex]\sqrt{32}[/tex]

STEP 4: Simplify

Since the questions asks you to put it in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.

x = [tex]\sqrt{32}[/tex]

x = [tex]\sqrt{16}[/tex] * [tex]\sqrt{2}[/tex]

x = 4[tex]\sqrt{2}[/tex]

Hope this helps

Answer:

16.3

Step-by-step explanation:

i just took the quiz

Answer:

16.3 units

Step-by-step explanation:

Helloo, I just took the quiz too and the answer is 16.3

Answer:

2

Step-by-step explanation:

that is √ 14 which is 27 ×>44.2177

Answer:

V=a cubed

Step-by-step explanation:

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Multiply straight across and reduce.

[tex]\frac{5}{8}[/tex] · [tex]\frac{2}{3}[/tex] = [tex]\frac{10}{24}[/tex] = [tex]\frac{5}{12}[/tex]

Answer:

Perimeter on one face =4× side =8

Hence the side of the cube is 2 units.

So the volume of the cube is (side)^3=(2)^3=8 cubic units

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

If you cut 20 lemons by half and then cut half of these halves by half, then 80  lemon parts we have

A division is a process of splitting a specific amount into equal parts.

Given that 20 lemons are cut by half.

cut half of these halves by half.

We need to find how many lemon parts will you have.

Let us consider a lemon whic is 1

Now let us make it half 1/1/2=2

Now each part is divided to half =2/(1/2)=4

So for one lemon it has 4 parts.

Now let us find for 20 lemons.

Multiply 20 with 4

20×4

80 parts

Hence, If you cut 20 lemons by half and then cut half of these halves by half, then 80  lemon parts will you have

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ5

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

these points lie INSIDE THE CIRCLE

Hope it helps

have a nice day

Answer:

14

Step-by-step explanation:

The diagram is right angle triangle so we can use SOHCAHTOA

So in the diagram we have 62 degree opposite to x and the hypotenuse

Step 1

Sin62=x/16

Step 2

X=16sin62 by cross multiplication

Step 3

X=14.13

X=14

Answer:

xy = 3y² - 4

Step-by-step explanation:

Hope it is helpful....

In the file i have attached, you will find the equation graphed, hope this helps.

Answer:

x = 9

Step-by-step explanation:

The ratios of corresponding sides are equal, that is

[tex]\frac{BC}{MN}[/tex] = [tex]\frac{AB}{LM}[/tex] , substitute values

[tex]\frac{x}{15}[/tex] = [tex]\frac{6}{10}[/tex] ( cross- multiply )

10x = 90 ( divide both sides by 10 )

x = 9

Answer:

statement not complete

Answer:

A. 2(I + w)

Step-by-step explanation:

The space bounded by a rectangle is its perimeter. So, I would use 2(l + w) where l = length of rectangle and w = width of rectangle.

As an example, suppose we have a rectangle of length, l = 40 meters and width, w = 20 meters and seek to find its perimeter that is, the space bounded by the rectangle, we substitute the values of l and w into the equation for the perimeter.

So, P = 2(l + w)

substituting the values of l and w into the equation, we have

P = 2(l + w)

P = 2(40 m + 20 m)

P = 2(60 m)

P = 120 m

So the space bounded by the rectangle is 120 m.

So, to find the space bounded by a rectangle, we use 2(l + w).

So, the answer is A.

Answer:

x = 24

Step-by-step explanation:

mathematically, in a cyclic quadrilateral, two opposite angles are supplementary

what this mean is that they add up to be 180

From what we have in the question, the two angles are supplementary and that means they add up to equal 180 degrees

thus, we have it that;

(4x + 9) + (3x + 3) = 180

4x + 3x + 9 + 3 = 180

7x + 12 = 180

7x = 180-12

7x = 168

x = 168/7

x = 24

Answer:

20.6 m

Step-by-step explanation:

Hi there!

Assuming that the utility pole makes a 90-degree angle with the ground, this scenario creates a right triangle.

The 45 m-long cable is the hypotenuse and the 40 m between the base of the pole and the cable is one of the legs.

We must solve for the height of the utility pole, which is essentially the other leg of the right triangle.

We can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse

Plug in the known information (leg=40, hyp=45)

[tex]40^2+b^2=45^2\\1600+b^2=2025\\b^2=2025-1600\\b^2=425\\b=20.6[/tex]

Therefore, when rounded to the nearest tenth, the height of the utility pole is 20.6 m.

I hope this helps!

Answer:

The point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]

The slope(m) can be calculated using [tex]\frac{y-y_{1} }{x-x_{1}}[/tex]:

[tex](x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3[/tex]

Using Point One, the point-slope form is determined as:

[tex]y-(-3)=3(x-4)\\y+3=3(x-4)[/tex]

The y-intercept(b) can be calculated as:

[tex](5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)[/tex]

Answer:

the answer to the expression is u=4

Answer:

the percentage of 690 out of 800 is 86.25%

Step-by-step explanation:

690/800 = 0.8625

0.8625*100 = 86.25

hope it helped :)

mark me brainliest

Answer:

86.25%

Step-by-step explanation:

Answer:

C)Ok i pick the point (18,4)

this point represents that if this person studied from 18 hours they got a GPA of 4.0

D) the chart below is the scatter plot

Hope This Helps!!!

The question seems incomplete ; as the total number of tickets to be sold isn't given.

Answer:

61 / X

Step-by-step explanation:

Let's take the total Number of tickets to be sold as : X

Number of tickets sold on Thursday = 47

Number sold on Friday = 14

Fraction of tickets available for sale on Saturday :

(Total number of tickets already sold) / Total number of tickets to be sold

(Thursday + Friday sales) / total number of tickets to be sold

Fraction available for sale on Saturday = (47+14) / X

Fraction available for sale on Saturday = 61 / X

Kindly put value of x = total number of tickets available for sale to get the exact fraction.

Answer:

I dont think i dont know this but its 10?

Given:

The interval is [2,9].

To find:

The average rate of change in f(x) over the interval [2,9].

Solution:

The average rate of change in f(x) over the interval [a,b] is defined as:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

In the interval [2,9], the value of a is 2 and the value of b is 9.

Using the above formula, the average rate of change in f(x) over the interval [2,9] is:

[tex]m=\dfrac{f(9)-f(2)}{9-2}[/tex]

[tex]m=\dfrac{f(9)-f(2)}{7}[/tex]

Therefore, the required expression for the average rate of change in f(x) over the interval [2,9] is [tex]\dfrac{f(9)-f(2)}{9-2}[/tex], it is also written is [tex]\dfrac{f(9)-f(2)}{7}[/tex].

Answer:

D

Step-by-step explanation:

right on edge

Answer:

80 ;

10

Step-by-step explanation:

Given :

Total number of students = μ = 140

Let :

Number of students who passed in English = E

Number of students who passed in Nepali = N

n(NnE) = 20

n(E) only = n(E) - n(NnE) = 50 - 20 = 30

Students who passed English only = 30

Number of students who passed in Nepali is twice the number who passed in English

n(N) = 2 * n(E) = 2 * 50 = 100

Number of students who passed in Nepali only

n(N) only = n(N) - n(NnE) = 100 - 20 = 80

Students who passed Nepali only = 80

The number who didn't pass both subjects :

μ - (English only + Nepali only + English and Nepali)

140 - (30 + 80 + 20)

140 - 130

= 10

Answer:

$5.5 per mile

40 miles

Step-by-step explanation:

Given :

Fixed cost = $10

Variable cost = $3

For a journey of 4 miles ;

Cost = fixed cost + Variable Cost

Cost = $10 + $3x

x = number of miles

Cost = $10 + $3(4)

Cost = $10 + $12 = $22

Average cost per mile for a journey of 4 miles

Cost / number of miles

$22 / 4 = $5.5 per mile

Minimum distance if average per mile is to be less Than 3.25

$3.25 = (10 + 3x) / x

3.25x = 10 + 3x

3.25x - 3x = 10

0.25x = 10

x = 10 / 0.25

x = 40 miles