Find the missing length. The triangles in each pair are similar

Conditions of the binomial distribution include a fixed number of independent trials, each trial having two possible outcomes, and constant probabilities of success and failure. Experiments that do not meet these conditions do not follow a binomial distribution. For example, if the probability of success varies across trials, it's not a binomial distribution.

The binomial distribution has several key conditions, and a statistical experiment is classified as a binomial experiment if it meets these conditions. Some of these conditions include the following:

Therefore a circumstance not meeting these conditions would not fit the binomial distribution. For example, if the conditions for each trial are not consistent, such as the probability of success changes from trial to trial, then it would not be classified as a binomial distribution.

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Answer:

a)  The amount of edging needed = 7.54 meters

b)  Cost to edge the garden = $32.80

Step-by-step explanation:

a)

the amount of edging needed is basically the circumference (perimeter) of the circle. It has the formula:

[tex]C=2\pi r[/tex]

Where

C is the circumference

r is the radius

Given, diameter = 2.4, radius is HALF of it, so

r = 2.4/2 = 1.2

Now, finding circumference:

[tex]C=2\pi r\\C=2\pi (1.2)\\C=7.54[/tex]

The amount of edging needed = 7.54 meters

b)

$4.35 is needed to edge 1 meter, since we need 7.54 meters, we find the total cost by multiplying 4.35 with 7.54, so we have:

4.35*7.54 = $32.80

Cost to edge the garden = $32.80

5x + 9 = x - 23

move x to the other side

sign changes from +x to -x

5x-x+9= x-x-23 ( combine like terms)

5x-x+9= -23

4x+9= -23

move -9 to the other side

4x+9-9= -23-9

4x= -23-9

4x= -32

divide both sides by 4 to get x by itself

4x/4= -32/4

answer:

x= -8

Answer:

Step-by-step explanation:

[tex]_{\bold{METHOD\ 1}}\\\\\begin{array}{ccc}100\%&-&106\\\\84\%&-&x\end{array}\qquad\text{cross multiply}\\\\\\100x=(84)(106)\\\\100x=8904\qquad\text{divide both sides by 100}\\\\\dfrac{100x}{100}=\dfrac{8904}{100}\\\\x=89.04[/tex]

[tex]_{\bold{METHOD\ 2}}\\\\p\%=\dfrac{p}{100}\to84\%=\dfrac{84}{100}=0.84\\\\84\%\ of\ 106=0.84\cdot106=89.04[/tex]

Answer:

∠B = 130°

Step-by-step explanation:

The opposite angles of a parallelogram are congruent, thus

∠D = ∠B, that is

10x - 20 = 9x - 5 ( subtract 9x from both sides )

x - 20 = - 5 ( add 20 to both sides )

x = 15

Hence

∠B = 9x - 5 = (9 × 15) - 5 = 135 - 5 = 130°

Answer:

15

Step-by-step explanation:

9x-5=10x-20

X-20=-5

X=15

Answer:

B. She subtracted the end time from the start time and

D. She did not account for a.m. and p.m. in the start and end times.

Step-by-step explanation:

The school started at 8:05 a.m. and ended at 2:40 p.m.

And the length of the school day is calculated by Erica and it is shown in the attached photo.

See the attached photo.

Erica has done two errors which are  

B. She subtracted the end time from the start time and  

D. She did not account for a.m. and p.m. in the start and end times. (Answer)

Answer:

hope it helps :):):)

Step-by-step explanation:

you need to find the common number for both numerator and denominator to multiply to  

the answer will be 72/27

where by multiplying 8 and 3 by 9 gives us 72/27

To find a ratio that forms a proportion with 8/3, a common multiplier needs to be applied. Examples or cross-multiplication can be used to confirm whether two ratios are proportional by comparing products or multipliers.

To determine which ratio forms a proportion with the ratio 8/3, we need to find a common multiplier that can be applied to 8/3 to get the other ratio. A proportion occurs when two ratios are equal to each other after a certain multiplier is applied. To demonstrate this with an example, if we have a ratio of x/y that we want to be proportional to 8/3, we are looking for a multiplier 'k' so that x/y = k*(8/3).

Let's use a concrete example.

If we take the ratio 16/6, we might suspect that this forms a proportion with 8/3.

By finding a common multiplier, we can show this by dividing each part of the second ratio by the corresponding part of the first ratio (16/8 and 6/3) to see if they equal the same number.

In this example, both 16/8 and 6/3 result in the multiplier 2, confirming that 16/6 is proportional to 8/3.

Another way to approach this is to form a cross-multiplication.

If we cross-multiply 8/3 and x/y and both x times 3 and y times 8 yield the same product, then the ratios form a proportion.

For example, 8/3 and 16/6 would form a cross-multiplication of 8*6 and 3*16, both of which are equal to 48, thus confirming the proportionality.

Answer:

4

Step-by-step explanation:

if x = 32 and y = 2, then you just have to substitute the numbers in:

[tex]\frac{32}{4 * 2}[/tex]

so,

[tex]\frac{32}{8}[/tex]

then you simplify

[tex]\frac{4}{1}[/tex]

so the answer is 4

Answer:

2

Step-by-step explanation:

Replace the variables with the real numbers

32/4 2

Multiply

4 x 3 = 12

Divide

32 / 12 = 2⅔

2⅔ ≈ 2

Answer: 2

Edit: Instead, go with D.) 4

Answer:

24.(24)

Step-by-step explanation:

(x+x/10)+x/5=x*24.(24)%

Answer:

-3

Step-by-step explanation:

start at the y axis where x= 0, go over one and down till your reach the next intersection of the graph, this is over one down three, or -3 for every x over

Option A: SU, TU, ST is the right answer

Step-by-step explanation:

In a triangle

So using the above axioms we can observe the triangle.

So the sides in order from least to greatest are: SU, TU, ST

Hence,

Option A: SU, TU, ST is the right answer

Keywords: Geometry, Triangles

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Answer:

x = 3

Step-by-step explanation:

The diagonals of a rhombus bisect each other at right angles, thus

BE = ED, that is

4x + 2 = 3x + 5 ( subtract 3x from both sides )

x + 2 = 5 ( subtract 2 from both sides )

x = 3

Since diagonals of rhombus bisect each other,

AC bisects BD into two equal parts

ie,

⇒BE=ED

⇒4x+2=3x+5

⇒4x-3x=5-2

⇒x=3

Answer:

x=5, y=8. (5, 8).

Step-by-step explanation:

3x+5y=55

5x+4y=57

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

5(3x+5y)=5(55)

-3(5x+4y)=-3(57)

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

15x+25y=275

-15x-12y=-171

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

13y=104

y=104/13

y=8

3x+5(8)=55

3x+40=55

3x=55-40

3x=15

x=15/3

x=5

Answer:

1115 is what I got im pretty sure im right because after I finished I checked my calculator. This is how you get it. You do 5.50 times 200. then you add 15. Simple. :)

Answer:

x = 8

Step-by-step explanation:

x/x+4=2/3

3x = 2x + 8

x = 8

Answer: -16

Step-by-step explanation:

slope=rise/run

slope=2-(-4)/-3-(-2)=6/-1=-6

y=mx+b

2=(-6)-3+b

b=-16

Answer:

3_561938 you are your

Step-by-step explanation:

3AM said

The equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) is P = R - 10

The profit is $15 million when revenue is $25 million

Step-by-step explanation:

The formula of the profit is P = R - E, where

If a company’s expenses were $10 million, wee need to write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) and then find the profit when revenue is $25 million

∵ P is the profit in millions of dollars

∵ R is the revenue in millions of dollars

∵ The expenses E were $10 million

∵ Profit = Revenue - Expenses

∴ P = R - 10

The equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) is P = R - 10

∵ The revenue R = $25 million

∵ P = R - 10

- Substitute the value of R in the equation

∴ P = 25 - 10

∴ P = 15

∴ The profit is $15 million

The profit is $15 million when revenue is $25 million

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Answer:

[tex]\displaystyle y = \frac{1}{3}x[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 - 4}{9 - 12} = \frac{1}{3}[/tex]

Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula since you get it done much swiftly that way. It does not matter which ordered pair you choose:

−4 = ⅓[−12] + b

−4

[tex]\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x[/tex]

_______________________________________________

−3 = ⅓[−9] + b

−3

[tex]\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x[/tex]

**You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

Answer:

The answer is...

Step-by-step explanation:

y = 1/3x

--or--

y = x/3

Both forms of writing are equivalent, so either choice would be correct. I hope this helps!

Answer:

In 20 weeks they will have the same amount of money.

Step-by-step explanation:

Answer:

G -8, -6, -4, -2

Step-by-step explanation:

integers are ...-2,-1,0,1,2,3 ... and so on but

whole numbers are 1,2,3,4,5,6 ... so on

so the only one thats right is the negative numbers

Answer:

11) x = 11

12) x = 11

Step-by-step explanation:

11) Δ RQP and Δ RLK are similar.

Hence, the ratios of the corresponding sides of the two triangles will be constant.

So, [tex]\frac{RK}{PR} = \frac{RL}{QR}[/tex]

⇒ [tex]\frac{x - 4}{49} = \frac{11}{77}[/tex]

⇒ [tex]\frac{x - 4}{49} = \frac{1}{7}[/tex]

⇒ x - 4 = 7

⇒ x = 11 (Answer)

12) Δ QRS and Δ QDC are similar.

So, [tex]\frac{QD}{QR} = \frac{QC}{QS}[/tex]

⇒ [tex]\frac{2x - 14}{32} = \frac{6}{24}[/tex]

⇒ 2x - 14 = 8

⇒ 2x = 22

⇒ x = 11 (Answer)

Answer:

10

Step-by-step explanation:

3 3/4=15/4

(15/4)/(3/8)=(15/4)(8/3)=30/3=10

Answer:

x = 2

Step-by-step explanation:

The 2 coordinate points have the same x- coordinate of 2

This indicates that the line passing through them is vertical with equation

x = c

Where c is the value of the x- coordinates the line passes through, thus

x = 2 ← equation of line

Answer:

10 hats and 30 scarves

Step-by-step explanation:

Let h be the number of hats Kaelyn makes and s be the number of scarves she makes.

Kaelyn wants to make 3 times as many scarves as hats, so

s = 3h

Each hat uses 0.2 kilograms of yarn, then h hats use 0.2h kg of yarn.

Each scarf uses 0.1 kilograms of yarn, then s scarves use 0.1s kg of yarn.

Kaelyn wants to use 5 kilograms of yarn, thus

0.2h + 0.1s = 5

You get the system of two equations:

[tex]\left\{\begin{array}{l}s=3h\\ \\0.2h+0.1s=5\end{array}\right.[/tex]

Substitute the first equation into the second

[tex]0.2h+0.1\cdot 3h=5\\ \\0.2h+0.3h=5\\ \\0.5h=5\\ \\5h=50\\ \\h=10\\ \\s=3\cdot 10=30[/tex]

Answer:

s=3h

0.2h+0.1s=15

Step-by-step explanation:

Answer:

1/4 of the brownies were eaten

there were 1 - 1/4 = 3/4 of brownies left

2/3 of the 3/4 were eat or: (2/3)(3/4) = 1/2 of the whole pan of brownies were eaten

the total of brownies eaten is: 1/4 + 1/2 = (1*1 + 2*1)/4 = 3/4 of the whole pan of brownies were eaten.Step-by-step explanation:

John ate half or 50% of the original whole pan of brownies. This is calculated by multiplying 3/4 (the remaining brownies after 1/4 had been eaten) by 2/3 (the fraction John ate of the remaining amount).

Firstly, the question pertains to the proportion of brownies that were consumed. Initially 1/4 of the brownies were eaten, implying that 3/4 of the brownies were left on the counter. John ate 2/3 of the remaining brownies, so we will calculate 2/3 of 3/4 to determine how much of the whole pan of brownies John ate:

Step 1: Convert 3/4 and 2/3 to decimal points (0.75 and 0.67 respectively).

Step 2: Multiply 0.75 (the remaining brownies) by 0.67 (the fraction that John consumed). This equals approximately 0.50.

Step 3: The result 0.50 implies that John consumed 50% or half of the original brownies amount.

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The center of the ellipse is (10 , -4) and its vertices are (17 , -4) , (3 , -4)

Step-by-step explanation:

The standard form of the equation of an ellipse with center (h , k)  

and major axis parallel to x-axis is [tex]\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1[/tex]  

∵ The equation of the ellipse is [tex]\frac{(x-10)^{2}}{49}+\frac{(y+4)^{2}}{4}=1[/tex]

- Compare it by the standard form of the equation of an ellipse

∴ h = 10 and k = -4

∴ a² = 49 and b² = 4

∵ The center of the ellipse is (h , k)

∴ The center of the ellipse is (10 , -4)

∵ Its vertices are (h + a , k) and (h - a , k)

∵ a² = 49

- Take square root for both sides

∴ a = 7

∵ h = 10 and k = -4

- Substitute the values of h , a , k in the vertices above

∴ Its vertices are (10 + 7 , -4) and (10 - 7 , -4)

∴ Its vertices are (17 , -4) and (3 , -4)

The center of the ellipse is (10 , -4) and its vertices are (17 , -4) ,

(3 , -4)

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Henry's balloon was farther from the town at the beginning, but Tasha's balloon traveled more quickly.

To determine which balloon was farther from the town at the beginning, we need to compare the initial distances of Henry's and Tasha's balloons from the town. Henry's balloon begins 30 miles from the town, while Tasha's balloon is represented by the function y = 8x + 20, where x is the time in hours. Plugging in x = 0 into the function, we can find that Tasha's balloon was 20 miles from the town at the beginning.

To determine which balloon traveled more quickly, we can compare their speeds. Henry's balloon travels at a constant speed of (48 miles - 30 miles) / 2 hours = 9 miles/hour. Tasha's balloon has a constant speed of 8 miles/hour since it follows the equation y = 8x + 20. Therefore, Henry's balloon traveled more quickly.

Therefore, the correct answer is OC. Henry's balloon was farther from the town at the beginning, but Tasha's balloon traveled more quickly.

Answer:

15 hours of work would both plumbers  charge the same amount of money for the job.

Step-by-step explanation:

Let us assume the number of hours Richard works = m

Per hour charge = $45

So, the charge for working m hours = m x $45 = 45 m ....... (1)

Let us assume the number of hours Spiro works = m

Per hour charge = $35

So, the charge for working m hours = m x $35 = 35 m

Also, the charge for parts = $150

So, total amount Spiro charges  = Cost for m hours  +  Charge for parts

= 35 m + $150 ......  (2)

Now, for m hours as they charge the SAME AMOUNT.

⇒ From (1) and (2), we get

45 m = 35 m + $150

or, 45 m - 35 m = 150

or, 10 m = 150

⇒ m = 150/10 = 15

or, m = 15

Hence, 15 hours of work would both plumbers  charge the same amount of money for the job.

Answer:

[tex]m = -6 \ or \ m = -\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{m^2+7m+6}+\frac{m+3}{m^2+7m+6}= \frac{5}{m+6}\\[/tex]

Simplifying the above equation we get:

Step 1: Solving for common denominator term we get;

[tex]\frac{1+m+3}{m^2+7m+6}= \frac{5}{m+6}\\\\\frac{m+4}{m^2+7m+6}= \frac{5}{m+6}[/tex]

Step 2: Multiplying denominators on both side we get;

[tex](m+4)(m+6)=5(m^2+7m+6)\\m^2+6m+4m+24 = 5m^2+35m+30\\m^2+10m+24 = 5m^2+35m+30\\5m^2+35m+30-m^2-10m-24=0\\4m^2+25m+6=0[/tex]

Step 3: Now we need to find the factors of m.

[tex]4m^2+25m+6=0\\4m^2+m +24m+6=0\\m(4m+1)+6(4m+1)=0\\(4m+1)(m+6)=0[/tex]

Step 4: Solving for both terms we get;

[tex]4m+1=0\\4m =-1\\m= - \frac{1}{4}[/tex]

Also,

[tex]m+6=0\\m=-6[/tex]

Hence [tex]m = -6 \ or \ m = -\frac{1}{4}[/tex]

Answer:

The distance between the points ( 5 , - 9 ) and ( - 3 , - 1 ) is 4[tex]\sqrt{8}[/tex]

Step-by-step explanation:

Given points as :

Point A = ( 5 , - 9 )

I.e (x_1 , y_1) = ( 5 , - 9 )

Point B = ( - 3 , - 1 )

I.e( x_2 , y_2) =  ( - 3 , - 1 )

Let The distance between points A and B = AB

So From distance formula

Distance AB = [tex]\sqrt{(y_2 - y_1)^{2} + (x_2 - x_1)^{2}}[/tex]

So, Distance AB = [tex]\sqrt{( - 1 + 9)^{2} + ( - 3 - 5)^{2}}[/tex]

Or, Distance AB = [tex]\sqrt{(8)^{2} + (- 8)^{2}}[/tex]

Or, Distance AB = [tex]\sqrt{64 + 64}[/tex]

Or, Distance AB = [tex]\sqrt{128}[/tex]

∴ Distance AB = 4[tex]\sqrt{8}[/tex]

Hence The distance between the points ( 5 , - 9 ) and ( - 3 , - 1 ) is 4[tex]\sqrt{8}[/tex]  Answer

Answer:

8√2

Step-by-step explanation:

delta math gave me the right answer after I got it wrong