Rei is barricading a door to stop a horde of zombies. She stacks boxes of books on a table in front of the door. Each box weighs 30 kilograms, and the table with 8 boxes on top weighs a total of 310 kilograms.
The total weight W of the barricade in kilograms is a function of x, the number of boxes Rei stacks on the table.
Write the function's formula.
W, equals

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

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:$59.50

Step-by-step explanation:

15/100*70= $10.50

$70 - $10.50= $59.50

Explanation: The power rule tells us that when we have a power taken to another power, we keep the base the same and we multiply the exponents.

So we have p¹⁰ which is our final answer.

Answer:

-9/2

Step-by-step explanation:

Answer:

x = -4.5

Step-by-step explanation:

90 = -20x

-90 = 20x

-90/20 = x

x = -4.5

Leave a like and mark brainliest if this helped

Answer:

The answer is D

Step-by-step explanation:

If you look at image you can see that is is on both lines but you always start on the origin (the middle) and go left or right to get your first number. which is 6 next you'll start at the origin and go up and down, once you stop at where you're positive the dot is place the two numbers together and you got your answer (6,-4)

Answer:

Trechelle's reasoning is incorrect.

Step-by-step explanation:

the cost is $88.2. hope it helps bye.

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:

10

Step-by-step explanation:

Answer:

my answer isn't on the list, but doing the math the median increased from 39 to 40, but the mean decreased from 49.16 to 45.57

Answer:

Step-by-step explanation:

Consider the figure as 3 parts: semicircle with radius of 4 in, rectangle with 7x9 in and rectangle 6x14 in.

Area of semicircle:

Area of rectangles:

Total area:

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.

Answer:

Step-by-step explanation:

15% indicates "unlikely."

5% indicates "very unlikely."

80% indicates "likely."

Answer:

216

Step-by-step explanation:

There are 26 letters in the alphabet and 10 numbers on a keyboard, add them together 26 + 10 = 36, multiply that by 6 because 6 is the maximum amount of characters, 36 x 6 = 216

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.

For more such questions on deposit

https://brainly.com/question/29053212

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Answer:

1. DB = 10 as diagonals of isosceles trapezoid are congruent

2. ∠DAB and ∠BCD are supplementary angles

3. ∠BCD is congruent with ∠ADC as trapezoid is isosceles

4. AB = 15, DC = 25,

5. m∠ADC = 2x - 10, m∠ABC = 3x + 40

These are supplementary, find x first:

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

Answer:

50

Step-by-step explanation:

You add the 25 + another 25 and that adds up to 50. Hope this helps!

Answer:

1.4 Inches Each

Step-by-step explanation:

This problem is fairly simple. Just divide 7 by 5 and put the correct units(inches) with the answer.

length of licorice each student will get is 1.875 inches.

A mathematical expression gets simpler when it is transformed into an equivalent, frequently shorter statement. One strategy for promoting uniformity in job effort, cost, and time is procedure simplification. It lessens diversity and variation that is harmful, unwanted, or unneeded.

Given, A licorice rope is 7 inches long. If four 5th graders share the licorice equally amongst themselves.

Since every 5th grader is sharing the rope equally.

Thus everyone will get = 7/4

Every 5th grader will get = 1.875 inches

Therefore, every 5th grader will get 1.875 inches length of licorice.

Learn more about simplification here:

brainly.com/question/24242989

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Answer:

3

Step-by-step explanation:

2,6>>>1,3

the answer is

0.5

Answer:

[tex]18\sqrt{3}[/tex]

Step-by-step explanation:

Please see the attached image

I'm assuming you've already learned the special properties of a 30-60-90 triangle.

By drawing a 30-60-90 triangle by constructing line BC, and using the special proportions that come from it, we can find that

AB=AC/2=36/2=18

and

BC=AB*[tex]\sqrt{3}[/tex]=[tex]18\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

Average Speed = Total Distance / Total Time

Total Distance = 50+ 70 + 10 + 60 = 190 Miles

Total Time = 1 + 1 + 1/2 + 1/2 =  3 hours

Average speed = 190 / 3 = 63.3 mph

Answer:

Michael should get $0.25 from the clerk.  

Step-by-step explanation:

Add $1.25+$0.50 together which equals $1.75 and multiply $0.25x8 which equals $2.00 and subtract $1.75 from $2.00 and that equals $0.25.

Answer:

.25 = 1 quarter

Step-by-step explanation:

8 x .25 = $2.00

1.25 + .50 = $1.75

2.00 - 1.75 = .25

Answer:

The scale factor is 8.

Segment AC is congruent to segment FD, and the other 2 sides are congruent because this is an isosceles triangle.

Triangle ABC can transform to Triangle DEF after a scale factor (multiplying each side by the same value) of 8.

Hope this helps!

Out of 5 trials, "at least one failure" = " at most four successess", so the probability you're looking for is

[tex]P(X\le 4) = \displaystyle\sum_{x=0}^4 \binom5x 0.30^x (1-0.30)^{5-x} \approx 0.99757 \approx \boxed{99.8\%}[/tex]

Answer:

35

Step-by-step explanation:

Answer:

psst whats wrong??

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: 2.25

2.25 x 4 = 9, and a square has 4 sides, so 2.25 is your answer ! : )

Answer:

3024.

Step-by-step explanation:

9! / 5!

=  9*8*7*6*5*4*3*2*1

   -------------------------

         5*4*3*2*1

We can cancel out  the 5*4*3*2*1 to give:    

9*8*7*6

=  3024