PLEASE HELP!!
Find the length of the diagonal of the rectangle. Round your answer to the nearest tenth.

Answer:

[tex]x = 16[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} (x + 8) - 16 = - 4[/tex]

[tex] \frac{1}{2} x + 4 - 16 = - 4[/tex]

[tex] \frac{1}{2} x + 4 = 12[/tex]

[tex] \frac{1}{2} x = 8[/tex]

[tex]x = 16[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(x + 8 ) - 16 = - 4\\\\\frac{1}{2}*x + 8*\frac{1}{2} - 16 = -4\\\\\frac{1}{2}x + 4 - 16 = -4\\\\\frac{1}{2}x -12 = -4[/tex]

Add 12 to both sides

[tex]\frac{1}{2}x = -4 + 12\\\\\frac{1}{2}x = 8\\[/tex]

Multiply both sides by 2

[tex]x = 8*2\\\\x = 16[/tex]

Answer:

104

Step-by-step explanation:

You deposit $4000 in an account earning 4% interest compounded monthly. After 15 years, you will have approximately $7224.44 in the account.

To calculate the future value of an account with compound interest, we can use the formula:

Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Time)

In this case, the principal (initial deposit) is $4000, the interest rate is 4% (or 0.04 as a decimal), and the compounding is done monthly, so there are 12 compounding periods in a year.

Substituting these values into the formula, we have:

Future Value = $4000 * (1 + (0.04 / 12))^(12 * 15)

Calculating this expression gives us:

Future Value ≈ $4000 * (1.003333)^180

Future Value ≈ $4000 * 1.806111

Future Value ≈ $7224.44

After 15 years, you will have approximately $7224.44 in the account, considering the given interest rate and compounding frequency.

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Answer:

The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School  wrestling team

Step-by-step explanation:

Since the value of absolute deviation in case of Trail Middle School wrestling team and Burlington Middle School  wrestling team is same. Hence, there will be no impact of it while determining the difference in mean deviation of both the team.

Thus, the difference in mean deviation is [tex]150-130 = 20[/tex]

The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School  wrestling team

Find the normal approximation to the chance that the face with six spots appears between 9, 10, or 11 times.

The exact chance that the face with six spots appears 9, 10, or 11 times?

my solution; in one roll of the die P(6 spots)=16 In 60 rolls of the die the expected number of times the face with 6 spots appears is given by E(X)=Mean=606=10 times.

SE(6spots)=SD=SQR(606⋅56)=2.8868

Applying the normal approximation to the chance that the face with six spots appears 10 times, I obtain the following: mean = 10

Standard deviation=2.8868

Using the continuity correction of 0.5 the following z-scores are found: z1=(9.5−10)/2.8868=−0.1732 and z2=(10.5−10)/2.8868=0.1732 Subtracting the cumulative probabilities for the two z-scores gives 0.5688−0.4312=0.1376 which is the approximate chance that the face with six spots appears 10 times. find the six spots appears between 9,10, or 11?

The exact chance that the face with six spots appears 10 times is found from

60C10(16)10×(56)50=0.137 find six spots appears 9, 10 or 11 times

Answer:

For a volume of 60 ounces, the appropriate price is $16

Step-by-step explanation:

Firstly, we need to determine the relationship between volume of popcorn and the price of bag.

Let us try and see if there is a linear relationship

A linear model is of the form ;

y = mx + b

where m is the slope and b is the y intercept

While the price represents the y axis values, the volume represents the x axis values

For the slope;

m = (y2-y1)/(x2-x1)

m = (13.6-11)/(48-35) = 2.6/13 = 0.2

So we have the slope value as 0.2

the equation is;

y = 0.2x + b

to get b, substitute any value of (x,y)

6 = 0.2(10) + b

6 = 2 + b

b = 6-2 = 4

If we had substituted (20,8)

8 = 0.2(20) + b

8 = 4 + b

b = 4

if (48,13.6)

13.6 = 48(0.2) + b

13.6 = 9.6 + b

b = 13.6-9.6

b = 4

Hence we have established linear relationship between the volume in ounces and the price in $

So we have this as

Price = 0.2(volume) + 4

So for volume of 60 ounces;

Price = 0.2(60) + 4

price = 12 + 4

price = $16

The reason why this is appropriate is because it follows the rule of the established linear relationship

Answer:

$16

Step-by-step explanation:

Answer:

3.594417e+19

Step-by-step explanation:

Answer: well if you listened on school you wouldn't need help sooo

Step-by-step explanation: LISTEN IN SCHOOL

Answer:

1/8

Step-by-step explanation:

The probability of getting tails on a single flip is 1/2.

Each of the flips is an independent event so you must multiply the probability of getting tails on each flip together.

So, your answer will look like this

[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] ; which equals;

1/8

Answer:

1/8

Step-by-step explanation:

To calculate the probability you have to name all possible results first. If you mark a result of a single coin flip as  H  for heads or  T  for tails all results of  3  flips can be written as:

Ω = { ( H , H , H ) , ( H , H , T ) , ( H , T , H) , ( H , T , T ) , ( T , H , H ) , ( T , H , T ) , ( T ,T , H ) , ( T , T , T ) }

Each triplet contains results on  1st,  2 nd and  3 rd coin. So you can see that in total there are  8  elementary events in  Ω.

| Ω |  =  8

Now we have to define event  A  of getting tails three times.

The only elementary event which satisfies this condition is  ( T , T , T )  so we can write that:

A  =  { ( T, T , T ) }

| A |  =  1

Now according to the (classic) definition of probability we can write, that:

P ( A )  =  | A|/  | Ω |  =  1 /8

So finally we can write the answer:

The Probability of getting 3 tails in 3 coin flips is  1 /8 .

Answer:

Step-by-step explanation:

im guessing you need the equation of the circle?

plugging it into the standard circle equaition you would get (x+9)^2+y^2=1 and then you would just need to rearaange it into standard form

Answer:

I will make sure he doesnt run out for you.

Step-by-step explanation:

Answer: I think it's 1.80

Answer:

B

Step-by-step explanation:

Answer:

I think the surface area is 382.

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 9x = x + 24 ( subtract x + 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

(x + 2)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 12 = 0 ⇒ x = 12

Answer:

6.8*10^3

Step-by-step explanation:

Answer:

The answer is 6.8 × 103.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

Step-by-step explanation:

Given,

Number of rainy days = 18

Number of cloudy days = 14

Number of sunny days = 29

Therefore,

Number of days either sunny or cloudy = 14 + 29 = 43

So,

Number of more days sunny or cloudy than rainy are

= 43 - 18 = 25

Hence,

Option C 25 is the correct answer.

Answer:

psst whats wrong??

Step-by-step explanation:

Answer:

Kim shears 1560 sheep in 26 days.

Her rate per day is 60.

Step-by-step explanation:

For 26 days:

[tex]\frac{5}{300} =\frac{26}{x} \\\\5x=7800\\x=1560[/tex]

For per day:

[tex]\frac{5}{300} =\frac{1}{x} \\\\5x=300\\x=60[/tex]

Answer:

c. 1/2

Step-by-step explanation:

7 out of 14 contestants did last time, which is 1/2 of the contestants.  You would assume that the same proportion would qualify when there are 10 contestants, so you would assume that 1/2 of 10 would also qualify for the bonus round.

Answer:

30

Step-by-step explanation:

Let the amount of money Taylor spent = x

The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans.

Hence

1/5 × x = 6 jeans

x/5 = 6 jeans

Cross Multiply

x = 5 × 6 jeans

x = 30

The amount of money Taylor spent = 30

Answer:

32 ounces of fruits

Step-by-step explanation:

Given that :

Number of distinct fruits purcahed = 6

Number of ounces of each fruit = 5 1/3

The total ounces of fruits purchased :

(Number of distinct fruits purchased * Number of ounces of each fruit)

6 * 5 1/3 = 6 * 16/3

6 * 16/3 = (16 * 6) / 3 = 96 /3 = 32 ounces of fruits.

E⁣⁣⁣⁣xplanation i⁣⁣⁣⁣s i⁣⁣⁣⁣n a f⁣⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

answer: since they are linear pair therefore

x+34+ 2x+2=180

3x+36=180

3x=144

x=48°

Step-by-step explanation:

second opinion: ex are useless forget them

Answer:

B) x=48

Step-by-step explanation:

Hope it helps

7x9=63/2=31.5

31.5x4= 126

7x7=49

126+49=175

The surface area of the pyramid would be 175cm^2

Answer:

The answer of this question is,

The answer of first question is point 2 and the answer of second question is point 3, look at the picture