The perimeter of
the rectangular playground shown
below is 160 feet. What is the area of the
playground?

Answer: 8

Step-by-step explanation: 6+10=16 16/2=8

Answer:

the sum of all possible values of  x is: 2+6 = 8

Step-by-step explanation:

Assume the two points in your question are:

=> The distance between the points A(x,21) and B(4,7) is [tex]10\sqrt{2}[/tex]  

As we know, the distance of two points can be determined by this formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Apply this formula in this situation to find all possible values of x, we have:

[tex]\sqrt{(4-x)^{2} + (7-21)^{2} }[/tex] = [tex]\frac{10}{\sqrt{2} }[/tex]  

<=> [tex](4-x)^{2} + 196 = 200[/tex]

<=> [tex](4-x)^{2} = 4[/tex]

<=> (4-x) = 2 or (4-x) = -2

<=>  x = 2 or x = 6

=> the sum of all possible values of  x is: 2+6 = 8

Answer:

B. No, because the sample was not random.

Step-by-step explanation:

The survey asks to find the favourite sport of the school's students. Not just the school's seventh graders. The seventh graders do not make up a random sample of the student body, and therefore the results of this survey are invalid.

Let's look at the answers:

A - No. We've already discussed why sampling just the seventh graders is wrong.

B - Yes. The entire seventh grade is not a random sample of the entire school and do not yield a valid response.

C - No. The school surveyed every seventh grader, not every seventh student. This is a play on words.

D - No. Every student in the seventh grade was sampled, not just girls.

Answer:

$44.04

Step-by-step explanation:

Multiply how much money it cost for them each by 3. That is the number of people are paying. That times 3 is 44.04.

Answer:

Art 1st

Step-by-step explanation:

If art takes you longest, you should do it 1st. After do what takes you less, then you will get the harder done 1st, and have something that doesnt take you as long after.

:)

Answer:

You should make yourself a tiny schedule, for example, you can work on your art piece for about an hour and then take a 5 minute break and do some of your other assignments for about 1 hour and 30 minutes. What you can also do is per every hour of working on art you did one other assignment. Hope this helps! :)

Answer:True,  becuase every time energy is converted to another form, is  some of it is bled off and it  made unusable.

Step-by-step explanation:

Answer:

x^12 + 9x^4 - 9x^3 - 18

Step-by-step explanation:

When there is a circled in black dot in the middle of f and g, then it means to multiply. Using the distributive property and the FOIL method, the answer should be x^12 + 9x^4 - 9x^3 - 18.

Answer:2 inches

Step-by-step explanation:

8*11=88

176/88=2

Check answer: 2*8*11

Answer:

A) 2 inches

I took the test, picture for proof

Step-by-step explanation:

Answer:

Oof...

Step-by-step explanation:

What is the Question?

Answer:

1.6m

Step-by-step explanation:

The length of the blade is 3.2m

The angle which the blade makes is 30°

Assuming the path of the blade and the length it covers is a right-angled triangle,

The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.

See attached document for better illustration.

Using SOHCAHTOA,

Sinθ = opposite / hypothenus

opposite = x

hypothenus = 3.2

θ = 30°

Sin30 = x / 3.2

X = 3.2sin30

X = 3.2 × 0.5

X = 1.6m

The path which the snow plough clears is 1.6m

Final answer:

Using trigonometry, the width of the path that a snow plough with a 3.2m blade set at a 30 degree angle will clear is approximately 2.77 meters wide.

Explanation:

To determine the width of the path that a snow plough will clear, we can make use of trigonometry. Given that the blade of the snow plough is 3.2 meters wide and is set at an angle of 30 degrees, we can calculate the width of the path cleared (w) by using the following formula derived from the cosine of the angle:

w = blade width × cos(angle)

Therefore, the width of the path cleared is:

w = 3.2 m × cos(30°)

To solve for w, we need to know the cosine of 30 degrees, which is √3/2. So the calculation will be:

w = 3.2 m × (√3/2)

After calculating this:

w = 3.2 m × 0.866

w = 2.7712 m

Therefore, the snow plough will clear a path approximately 2.77 meters wide.

The probability for the sum of two dice to be 9 is 1/9, and the probability for rolling doubles is 1/6. These two events are mutually exclusive; hence their combined probability is the sum of the individual probabilities, which is 5/18.

The probability that the sum of two rolled dice is 9 can be calculated by identifying all possible combinations that result in a sum of 9. There are four such combinations: (3,6), (4,5), (5,4), (6,3). The probability of any one specific outcome when rolling two dice is 1/36, thus the probability of the sum being 9 is 4/36 or simplified, 1/9.

To find the probability of rolling doubles, we identify all the combinations where both dice show the same number. There are six possibilities: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), so the probability of rolling doubles is 6/36 or simplified, 1/6. These two events are mutually exclusive; thus, the total probability is found by adding the two probabilities: 1/9 + 1/6 = 2/18 + 3/18 = 5/18.

Answer:

127 females chose rap.

Step-by-step explanation:

Just did edge.

Answer:

Probability of rolling at least 4 sixes is 0.01696.

Step-by-step explanation:

We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6  times.

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number trials (samples) taken = 6 trials

            r = number of success = at least 4

           p = probability of success which in our question is probability of

                 rolling a “six", i.e; p = 0.20

Let X = Number of sixes on a die

So, X ~ Binom(n = 6, p = 0.20)

Now, Probability of rolling at least 4 sixes is given by = P(X [tex]\geq[/tex] 4)

P(X [tex]\geq[/tex] 4) = P(X = 4) + P(X = 5) + P(X = 6)

=  [tex]\binom{6}{4} \times 0.20^{4} \times (1-0.20)^{6-4}+\binom{6}{5} \times 0.20^{5} \times (1-0.20)^{6-5}+\binom{6}{6} \times 0.20^{6} \times (1-0.20)^{6-6}[/tex]

=  [tex]15 \times 0.20^{4} \times 0.80^{2}+6 \times 0.20^{5} \times 0.80^{1}+1 \times 0.20^{6} \times 0.80^{0}[/tex]

=  0.0154 + 0.00154 + 0.000064

=  0.01696

Therefore, probability of rolling at least 4 sixes is 0.01696.

Using the binomial distribution, it is found that there is a 0.0086 = 0.86% probability of rolling at least 4 sixes.

For each roll, there are only two possible outcomes, either it is a six, or it is not. The result of a roll is independent of any other rolls, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability is:

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{6,4}.(0.1667)^{4}.(0.8333)^{2} = 0.0080[/tex]

[tex]P(X = 5) = C_{6,5}.(0.1667)^{5}.(0.8333)^{1} = 0.0006[/tex]

[tex]P(X = 6) = C_{6,6}.(0.1667)^{6}.(0.8333)^{0} \approx 0[/tex]

Then:

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.0080 + 0.0006 + 0 = 0.0086[/tex]

0.0086 = 0.86% probability of rolling at least 4 sixes.

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Answer:

20 out of the 50 participants are assigned to consume Drink A.

However, it is asking us the probability that a participant did NOT consume Drink A, so there are 30 participants that consumed another drink.

The probability is 30/50, or 60%, that a participant did not sample Drink A.

Answer:

3/5

Step-by-step explanation:

of the 50 participants 20 of them will get drink A. This probability is 20/50 which simplified is 2/5. The other 30 participants will get drinks B, C, or D. As a fraction this is equal to 30/50 or 3/5.  Therefore the probability of a participant not sampling drink A is 3/5.

Answer: step 1

Step-by-step explanation:

Answer:

1/48 try simplfig that

Step-by-step explanation:

Answer:

I think it's none of the above

Answer:

-1.58

Step-by-step explanation:

We have that the mean (m) is equal to 89 and the standard deviation (sd) 2.4

They ask us for P (x <85.2)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd)

We have all these values, replacing we have:

z = (85.2 - 89) / (2.4)

z = -1.58

Answer:

The value of x is -4 and 5.

Step by step explanation:

First, you have to let the expressions equals to 0 and elaborate the equation :

[tex] {x}^{2} - x - 20 = 0[/tex]

[tex] {x}^{2} + 4x - 5x - 20 = 0[/tex]

Next you have to factorize by taking out the like-terms :

[tex]x(x + 4) - 5(x + 4) = 0[/tex]

[tex](x - 5)(x + 4) = 0[/tex]

Lastly, you can solve it :

[tex]x - 5 = 0[/tex]

[tex]x = 5[/tex]

[tex]x + 4 = 0[/tex]

[tex]x = - 4[/tex]

Answer:

-4 and 5

Step-by-step explanation:

When solving quadratic equations it's important to remember that they have 2 solution. We need to work out the factors, sum and the products to successfully factorise the quadratic and solve it. So,

x² - x - 20 = 0

Sum = -1

Product = -20

So we need two number that sum to -1 and multiply together to make -20

Factors = -5 and 4

x² - 5x + 4x - 20

Factor x² - 5x and 4x -20 separately

x² - 5x = x ( x - 5 )

4x - 20 = 4 ( x - 5 )

So

x ( x - 5 ) + 4 ( x - 5 )

We can see a common factor of  ( x - 5 ) and the other bracket would be   ( x + 4).

( x - 5 ) ( x + 4 )

But the question asks us for the solution so

x - 5 = 0

x = 5

x + 4 = 0

x = -4

Debbie can make 12 bows from 2 yards of ribbon, as shown by the division equation (2 ÷ 1/6 = 12) and confirmed by the multiplication equation (12 × 1/6 = 2).

The student is asking about division and multiplication of fractions in the context of making bows from a length of ribbon. To determine how many bows Debbie can make with 2 yards of ribbon, when each bow requires 1/6 yard, we formulate a division equation and a multiplication equation.

The division equation is:

Number of bows = Total yards of ribbon ÷ Yards of ribbon per bow

Number of bows = 2 yards ÷ 1/6 yard

The multiplication equation is the inverse of the division equation, which helps us to check our work:

X bows × 1/6 yard per bow = 2 yards (X represents the number of bows)

By solving the division equation:

Number of bows = 2 yards × (6/1 bows)

Number of bows = 12 bows

So, Debbie can make 12 bows from 2 yards of ribbon. The multiplication equation confirms this since 12 bows × 1/6 yard equals 2 yards.

Answer: 1

Step-by-step explanation: Now, they are asking for which score did the greatest number of people receive

We have numbers 5 to 10 and we know that 10 is the greatest, so when we 10 at the end, on top we see only 1 x,

Answer:

there are 4 layers

mantle

core

outer core

inner core

Step-by-step explanation:

mantle- mostly solid bulk of earths interior

core- very hot, very dense center of our planet

outer core- fluid layer composed of mostly iron and nickel that lies above earths solid inner core and below its mantle

inner core- earths inner core is the innermost geologic layer of the earth

Answer:

  B.  0, 1, 2, 3, 4, 5, 6

Step-by-step explanation:

If you want to represent a 70% chance of success, then 7 of the 10 possible numbers need to represent success. It is convenient to use the numbers 0 to 6 for the purpose.

The solution is : The group which represents a success is

B.  0, 1, 2, 3, 4, 5, 6.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

here, we have,

Given that,

a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.

Total outcomes which are numbers from 0 to 9 = 10

If the probability of success is 60%,

P(success) = 60/100 = 6/10

That is, 6 numbers out of 10 are the outcomes which leads to success.

The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.

Hence the correct option is B

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Answer:

Khalid = 140 mph

Jesse = 150 mph

Jesse has the faster train

Step-by-step explanation:

Khalid is travelling 140 mph because 280/2 is 140

Jesse is travelling at 150 mph because just like the question stated, y=150x where "x" is the total hours they traveled and 150 is the distance she traveled.

Jesse is faster because 150>140

Answer:

i) $2.60 is money he saves each week

ii( iii)  $5.20 to spend on comics and sweets.

You need more info to determine how he spends his money thereafter.

Lets say x = sweets and y = comics.

and lets say he spends under 1/3 on sweets

2(1 1/5x + 1 1/2y) = xy

2 2/5x + 3y = xy

xy = 5 2/5

Step-by-step explanation:

i) 7.80 /3 = 2.60  = $2.60

ii) 7.80-2.6 = 5.20 = $5.20

iii) algebra example or refer to question for more info not shown.

Paul saves a portion of his pocket money which is £2.60  and spends the rest on comics and sweets.

(i) How much does he save?
Paul saves £2.60 each week, which is 1/3 of his pocket money.
(ii) How much is spent on comics?
Paul spends £2.60 on comics, as it is the remaining amount after saving.
(iii) How much does he spend on sweets?
Paul spends the rest of his pocket money, £2.60, on sweets.

Answer:

10/9

Step-by-step explanation:

y increases by 10 while x increases by 9

The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints and dividing it by the difference in the x-values.

The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints of the interval and dividing it by the difference in the x-values.

In this case, we are given the interval 0 ≤ x ≤ 9. We need to find the difference in the function values of g at x = 0 and x = 9, and then divide it by the difference in the x-values, which is 9 - 0 = 9.

So, the average rate of change of g over the interval 0 ≤ x ≤ 9 is (g(9) - g(0)) / (9 - 0).

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Final answer:

The value 8 3/4 (option C) is closest to 8 11/20 because it has the smallest difference when compared to the other options after converting 11/20 to its decimal form.

Explanation:

The value closest to 8 11/20 is 8 3/4 (option C). To determine which value is closest, convert 11/20 to its decimal equivalent by dividing 11 by 20, which is 0.55. When added to 8, this gives us 8.55. Now let's compare the options: Option A (8) is 0.55 away, option B (8 1/2) equals 8.5 and is 0.05 away, option C (8 3/4) equals 8.75 and is 0.20 away, and option D (9) is 0.45 away. Thus, 8 3/4 is the closest value to 8 11/20 since it has the smallest difference.

The solution to the algebraic expression using the product rule is 24a squared minus 18ab

The calculation of algebraic expression using the product rule implies that we multiplied similar variables together.

Given that:

3a (8a minus 6b)

= 3a(8a - 6b)

We cannot subtract the expression in the brackets because they are not of the same variable.

So, by opening the brackets, we have:

=24a² - 18ab

= 24a squared minus 18ab

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