A dart is tossed and hits the dart board shown.
The dart is equally likely to land on any point on
the dart board. Find the probability, as a percent
to the nearest tenth, that the dart lands in the
ring surrounding the bullseye.

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:

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:

When you find the volume of the cylinder you square instead which isn't equal to multiplying so the answer will be more then doubled.

Step-by-step explanation:

Answer:

The volume of the first is not 2 * volume of the second. They both have the same volume.

Step-by-step explanation:

The 2 cylinders described are identical. The diameter = 2 times the radius, so the radius of the first cylinder = 1/2 * 7 = 3.5 in,  which is the same as the radius of the second one. Also the heights are the same so the volumes are the same too.

Final answer:

To solve for angle B in triangle ABC, you can use the Law of Cosines. Rearrange the equation to isolate the cosine of angle B and then take the inverse cosine to find the value of angle B. The value of angle B is approximately 99.99 degrees.

Explanation:

To solve for angle B in triangle ABC, you can use the Law of Cosines. The Law of Cosines states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

In this case, you are given the lengths of sides AB, BC, and AC as 4.1 cm, 2.7 cm, and 4.5 cm respectively. You are also given the equation 4.1 = 4.5 + 2.7 - 24.3cos B. To solve for angle B, you can rearrange the equation to isolate the cosine of angle B and then take the inverse cosine to find the value of angle B.

Let's go step-by-step:

Start with the equation 4.1 = 4.5 + 2.7 - 24.3cos B

Subtract 4.5 and 2.7 from both sides: 4.1 - 4.5 - 2.7 = -3.1 - 24.3cos B

Combine like terms: -3.1 - 24.3cos B = -7.1

Add 7.1 to both sides: -3.1 - 24.3cos B + 7.1 = -7.1 + 7.1

Simplify: -3.1 + 7.1 - 24.3cos B = 0

Subtract -3.1 + 7.1 from both sides: -3.1 + 7.1 - 3.1 + 7.1 - 24.3cos B = -3.1 + 7.1

Simplify: -24.3cos B = 4.0

Divide both sides by -24.3 to isolate cos B: (-24.3cos B) / -24.3 = 4.0 / -24.3

Simplify: cos B = -0.1645

Take the inverse cosine of -0.1645 to find the value of angle B: B = cos-1(-0.1645)

Using a calculator, you can find that angle B is approximately 99.99 degrees.

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:

1/48 try simplfig that

Step-by-step explanation:

Answer:

I think it's none of the above

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

Learn more about calculating algebraic expression here:

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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

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:

$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:

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.

Answer: step 1

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

It has to be bigger than 2/3 which is equivalent to 6/9.It cannot be a half which is too less.1 or above is too much.B. is just right.

Answer:

57.453 ft

Step-by-step explanation:

Glad to help ! :)

Answer:

the answer is 57.5

​

Answer:

127 females chose rap.

Step-by-step explanation:

Just did edge.

Answer:

A. 20

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Plug in the numbers

[tex]15^{2} + b^{2} = 25^{2}[/tex]

Simplify the equation

225 + b = 625

Subtract both sides by 225

625 - 225 = 400

Your equation should look like

b = 400

Because you squared it, now you have to get it back to the formula you started with first. To do this, just find the square root.

The square root of 400 is 20

[tex]15^{2}+ 20^{2} =25^{2}[/tex]

Answer:

Oof...

Step-by-step explanation:

What is the Question?

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: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 = 2   or  x = 4

Step-by-step explanation:

Solve:   2 log x = log 2 + log(3x - 4)

log (x^2) =  log 2 + log (3x - 4)

log (x^2) = log [2*(3x - 4)]

x^2 =  2*(3x - 4)

x^2 = 6x - 8

x^2 - 6x + 8 = 0

factor:

(x - 2 )(x - 4) = 0

x = 2   or  x = 4

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:

parellel lines = 7

function = 3

independent variable = 6

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.

For more on the binomial distribution you can check https://brainly.com/question/24863377

Answer:

Lower quartile: 72

Upper quartile: 84

Step-by-step explanation:

Follow the instructions in the hint to solve the problem.

First, divide the data set into halves:

70, 70, 72, 75, 79

80, 80, 84, 89, 95

Now, find the median of the two sets.  The median of set #1 is 72, as that is the number in the middle of the data.

The median of set #2 is 84 for the same reason.

Upper and lower quartiles are just different words for upper and lower medians. The upper quartile is the higher number, and the lower quartile is the lower number.

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

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:

pi

Step-by-step explanation:

Theta is 1/2 of a circle

A circle is 360 degrees or 2pi radians

Take 1/2 of that for a semi circle

180 degrees or pi radians

Answer:

pi

Step-by-step explanation:

Arc length = r × theta

8pi = 8 × theta

theta = 8pi/8

= pi radians

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: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: 8

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