The segment below is dilated by a scale factor of 22 to form I ′J ′ What is the measure of I ′J ′ ?

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

[tex]\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910[/tex]

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

[tex]\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320[/tex]

Answer:

38.5 in squared

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

3 flowerbeds and 5 lawns.

Step-by-step explanation:

I promise.

Answer:

252 ; 0.00593 ; 0.0074 ; 0.9926 ; 0.347

Step-by-step explanation:

A.)

n = 10 ; r = 5

Required outcome :

nCr = n! ÷ (n-r)!r!

10C5 = 10! ÷ (10-5)!5!

(10*9*8*7*6) / (5*4*3*2*1)

= 252

B.)

Total possible outcome : 24C5 = 42504

P(all will be from day shift) = 252 / (24C5) = 0.00593

C.)

P(all will be from the same shift) :

[(10C5)+(8C5)+(6C5)] ÷ 24C5

(252 + 56 + 6) / 42504 = 0.0074

D.)

Probability that at least 2 different shift will be represented :

1 - P(all will be from the same shift)

1 - 0.0074 = 0.9926

D.)

Probability that atleast one of the shift will be unrepresented :

(10+6C5) + (8+6C5) + (10+8C5) - (10C5)+(8C5)+(6C5)

[16C5 + 14C5 + 18C5 - 10C5 + 8C5 + 6C5] ÷ 24C5

(4368 + 2002 + 8568 - 252 + 56 + 6) / 42504

= 14748 / 42504

= 0.347

Answer:

xbxbkzkdkdjd

Step-by-step explanation:

bz va yJnzz

Answer:

This amount will be reached in 1 year and 2 months, that is, in 14 months.

Step-by-step explanation:

Given that 1 paisa is 1 cent of a rupee, at an increase of 2 paisa per rupee per month we are talking about an interest of 2% per month, which annualized is equal to 24% per year (12 x 2).

Thus, given that the initial amount is Rs $ 4800, to determine the period of time in which said interest will take the amount to Rs $ 5760 it is necessary to perform the following calculation:

4800 x 1.02 x X = 5760

4896 x X = 5760

X = 5760/4896

X = 1.17

Thus, this amount will be reached in 1.17 years, with which to calculate the number of months the following calculation must be performed:

1 = 12

0.17 = X

0.17 x 12 = X

2 = X

Thus, this amount will be reached in 1 year and 2 months, that is, in 14 months.

Answer:

Choice 3 is not a function.

For a set of coordinates to be a function, there must be exactly one y-value for every x-value.

For choice 3, we see that the x-coordinate of "1" has two y-values, 3, and 7.

This means, that choice 3 is NOT a function.

Let me know if this helps!

Answer:

A

Step-by-step explanation:

there is no intersection which means no solution...i dont knwo how to explain sorry

Answer:

A) It is a test of two proportions and the populations are independent of each other

B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1

C) The distribution to be used is 1 distribution

D) The Random variable is the size of the community group

E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2

F) Test is one tailed

G) Test Value  > significance level

F) when;  P value > significance level ( 0.01 ) we do accept Null hypothesis

   when ; P value < significance level ( 0.01 ) we reject Null hypothesis

Step-by-step explanation:

College A :

sample size = 11

x ( mean ) value = 4

std = 1.5

College B :

sample size = 9

x ( mean value ) = 3.5

std = 1

A) It is a test of two proportions and the populations are independent of each other

B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1

C) The distribution to be used is 1 distribution

D) The Random variable is the size of the community group

E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2

F) Test is one tailed

G) Test Value  > significance level

F) when;  P value > significance level ( 0.01 ) we do accept Null hypothesis

   when ; P value < significance level ( 0.01 ) we reject Null hypothesis

Answer:

68°

Step-by-step explanation:

90°(right angle)-22°(angle 5 measurement) = 68°

perimeter of a parallelogram

= 2(l + b)

= 2(8 inches + 6 inches)

= 2(14 inches)

= 28 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Hope this helps!!

Answer:

[tex] \frac{288}{ - 32} = \frac{ - 9}{1} \\ = - 9[/tex]

Answer:

the simplest form of 288/-32 is 91.

Step-by-step explanation:

hope this helps sorry if im wrong

Answer:

The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°.

Explanation:

The unit circle, or trig circle as it's also known, is useful to know because it lets us easily calculate the cosine, sine, and tangent of any angle between 0° and 360° (or 0 and 2π radians)

Answer:the answer is 182.7

Step-by-step explanation:brainliest please Sans Undertale out

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Answer:

x - 27 + 27 = 62 + 27

x - 0 = 89

(annex rule)

x = 89

Step-by-step explanation:

please mark brainlist

Answer:

A. 47

Step-by-step explanation:

Hope it helps! If you want an explanation, ask in the comments and I'll give you one!

Compound interest is  the interest calculated using the principal and the interest over a period of time.

The statements that are true about compound interest are:

The interest can be compounded over different time intervals.

The interest in most banks is not calculated using compound interest.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + rn)^{nt}[/tex]

P = principal

r = rate

t = time in years

n = number of times compounded in a year.

We have,

The interest is figured on the principal only.

This is not true because we calculate the compound interest on the interest as well.

The amount in the account grows slower than with simple interest of the same rate.

This is not true because we are calculating the interest on the principal and interest together.

The amount with compound interest will be more than the amount with simple interest.

The interest can be compounded over different time intervals.

This is true because we can have different time intervals such as,

monthly compounded, quarterly compounded, bimonthly compounded, and yearly compounded.

The interest in most banks is not calculated using compound interest.

This is true because banks don't calculate using compound interest.

Thus,

The statements that are true about compound interest are:

The interest can be compounded over different time intervals.

The interest in most banks is not calculated using compound interest.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ2

Answer:

7/8 of a cake

Step-by-step explanation:

4 4/4 - 3 1/4 = 1 3/4

7/4 x 1/2 = 7/8

Answer: the slope is -4/3

Step-by-step explanation:

Answer:

61.6 units

Step-by-step explanation:

C (-8,-10)

D (8,10)

E (-8,10)

find the distance between the following points

CD = 25.6

DE = 16

EC = 20

Add them all up

61.6 units

Answer:

b

Step-by-step explanation:

Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).

So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.

Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.

The area is 150 square units

Answer:

uh...love is when you feel a certain way around someone

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.

∠D = ∠B

∠A = ∠E

△ABC and △EDC are similar because they have the same angles.