The unknown length can be found using the Pythagorean theorem.


The theorem states that the of the squares of the legs is the square of the hypotenuse.


The missing length is feet.

Answer:

3/4

Step-by-step explanation:

Final answer:

The probability of Odell winning, which happens when 'A' is not spun at all, is 9 out of 16 possible outcomes when the spinner is spun twice. We calculate this by counting the number of outcomes without 'A' (9) and dividing by the total number of outcomes (16).

Explanation:

To find the probability that Odell wins, we first need to list all the possible outcomes when Gerardo spins the spinner twice. Since the spinner has four equal sections labeled A, B, C, and D, we can list the sample space (S), which includes every combination of two spins:

AA

AB

AC

AD

BA

BB

BC

BD

CA

CB

CC

CD

DA

DB

DC

DD

For Gerardo to win, A must appear at least once. We can identify the outcomes in which A does not appear at all, which would be the cases where Odell wins:

BB

BC

BD

CB

CC

CD

DB

DC

DD

There are 9 outcomes where A does not appear. Since each combination is equally likely, we can calculate the probability (P) that Odell wins by determining the ratio of these 9 outcomes to the total 16 outcomes in the sample space:

P(Odell wins) = Number of Odell winning outcomes / Total outcomes = 9 / 16

Therefore, the probability that Odell wins is 9/16.

Answer:

5 right triangle

6 not a right triangle

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = 13^2

25+144 = 169

160 = 169

This is true so this is a right triangle

15^2 +16^2 = 18^2

225 +256 = 324

481 does not equal 324

This is not a right triangle

Answer:

5. Yes

6. No

Step-by-step explanation:

5. 13² = 12² + 5²

169 = 144 + 25

169 = 169

Satisfies pythagoras theorem, so it is a right angle triangle

6. 18² = 16² + 15²

324 = 256 + 225

324 = 481 (false)

Doesn't satisfy the pythagoras theorem, so it is not a right angle triangle

Answer:

x - 5y

Step-by-step explanation:

Let's solve your question together,

6x - 8y - 5x + 3y

first arrange them according to their variable.

6x - 5x - 8y + 3y

Now, solve

x - 5y

Hope this helps :)

Answer:

0.027 to the nearest thousandth.

Step-by-step explanation:

There are 14 marbles in the bag, so:

Prob( a blue on the first draw) = 5/14.

Prob( a blue on the 2nd draw) = 4/13.

Prob( a blue on the 3rd draw) = 3/12 = 1/4.

So the required probability is 5/14 * 4/13 * 1/4

= 20/ 728

= 0.02747.

To calculate the probability of drawing three blue marbles without replacement, multiply the probabilities of drawing a blue marble in each draw. The final probability to the nearest thousandth is approximately 0.043.

To find the probability that all three marbles drawn will be blue, we use the formula for calculating the probability of successive independent events (drawing without replacement). We calculate the probability of drawing a blue marble each time and then multiply these probabilities together.

Calculating this, we get approximately 0.043 when rounded to the nearest thousandth. So, the probability that all three marbles drawn will be blue is 0.043.

Answer:

A) 8 and 3

B) no change

C) 10.3

Answer:

0.2

Step-by-step explanation:

Answer:

Using the data from the table, what is P(3)?

Answer: 0.2

What is the mean of the probability distribution?

Answer: 2.0

Step-by-step explanation:

Answer:

OK, well, I believe that the answer is 3 5/8.

And for the equation, try 3 + 3/8 + 2/8

Hope this was helpful :)

STAY SAFE!! :D

Answer:

it is B i hoped i helped`

As per the given table of values, we have identified that the function that is most likely increasing quadratically is f(x).

Let's examine the given values in the table:

x f(x) g(x)

1 3 3

2 6 9

3 9 27

4 12 81

5 15 243

For a quadratic function, the differences between consecutive values of f(x) should increase by a constant amount. Let's calculate the differences between consecutive f(x) values:

x f(x) Difference (∆f(x))

1 3

2 6 6 - 3 = 3

3 9 9 - 6 = 3

4 12 12 - 9 = 3

5 15 15 - 12 = 3

The differences (∆f(x)) between consecutive f(x) values are constant and equal to 3. This indicates that the function f(x) is increasing quadratically.

Now, let's examine the differences between consecutive g(x) values:

x g(x) Difference (∆g(x))

1 3

2 9 9 - 3 = 6

3 27 27 - 9 = 18

4 81 81 - 27 = 54

5 243 243 - 81 = 162

The differences (∆g(x)) between consecutive g(x) values are not constant; they are increasing exponentially. This suggests that the function g(x) is increasing exponentially.

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Answer:

7%

Step-by-step explanation:

To work this out you would simply multiply 0.07 by 100, which gives you 7. This is because percentages are out of 100.

Answer: 7%

Step-by-step explanation:

We have been given an image of a trapezoid. We are asked to find the area of the given trapezoid.

We will use area of trapezoid formula to solve our given problem.

[tex]A=\frac{1}{2}(a+b)\times h[/tex], where,

A = Area of trapezoid,

a and b = Parallel sides or bases of trapezoid.

h = Height of trapezoid.

We can see that one base is 45 feet. The other base would be 45 plus 15 feet that is [tex]45+15=60[/tex].

Now we will use Pythagoras theorem to find the height of the trapezoid as:

[tex]h^2=17^2-15^2[/tex]

[tex]h^2=289-225[/tex]

[tex]h^2=64[/tex]

[tex]\sqrt{h^2}=\sqrt{64}[/tex]

[tex]h=8[/tex]

[tex]A=\frac{1}{2}(45+60)\times 8[/tex]

[tex]A=(105)\times 4[/tex]

[tex]A=420[/tex]

Therefore, the area of the given trapezoid is 420 square feet.

Answer:

You can't simplify it. 637 over 1000 simplified is 637/1000, unless you can put a decimal?

Step-by-step explanation:

We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.

We will use proportions to solve our given problem.

[tex]\frac{\text{Figure A}}{\text{Figure B}}=\frac{3}{8}[/tex]

Upon substituting the ratio between figure A and figure B, we will get:

[tex]\frac{3}{8}=\frac{x}{24}[/tex]

[tex]\frac{3}{8}\cdot 24=\frac{x}{24}\cdot 24[/tex]

[tex]\frac{3}{1}\cdot 3=x[/tex]

[tex]9=x[/tex]

Therefore, the value of x is 9.

In the given problem we have scale factor of Figure A and Figure B. We have to use proportion rule to solve the problem.

The value of [tex]x[/tex] is 9.

Given:

The ratio of figure A and figure B is [tex]3:8=\dfrac{3}{8}[/tex].

Write the equation for proportion.

[tex]\dfrac{3}{8}=\dfrac{x}{24}[/tex]

Apply the cross multiplication rule.

[tex]3\times24=8\times x[/tex]

Further solve for the [tex]x[/tex].

[tex]x=\dfrac{3\times 24}{8}\\x=9[/tex]

Thus, the value of [tex]x[/tex] is 9.

Learn more about proportion here:

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It’s biased because he is asking people who left a country concert and usually people who go to concerts go because it’s the type of music that they like, so the chances of someone saying they like a different kind of music probably won’t happen.

Answer:

We divided the figure into 1 triangle and 2 rectangles.

Adding up the area of them, we get the total area:

A = area of triangle + area of 2 rectangles

   =  base x height/2 + length1 x width1 + length2 x width2

   = 7 x (15 + 2 - 6 - 2)/2 + 8 x 15 + 5 x 2

   = 161.5

Hope this helps!

:)

Answer: c

Step-by-step explanation:

Took i

the test

All values above 48 are in the solution set, so everything to the right of the circle is shaded, the correct option is C.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let x be the height required for the ride.

Guests must be at least 48 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 48.

x ≥ 48

Since, 48 is included in the solution set, therefore there is a closed circle at 48.

All values above 48 are in the solution set, so everything to the right of the circle is shaded.

Learn more about graph

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Answer: 31/50

Step-by-step explanation: 0.62= 62/100. After we must find the Greatest Common Factor which is two.

62/2=31  100/2=50

Answer:

31/50

Step-by-step explanation:

Final answer:

The inequality to determine the minimum amount each cheerleader needs to raise to cover the team fee and individual entry fees is m >= $50.99. This is calculated by dividing the team fee of $99 and the total individual fees of $818.82 by 18 cheerleaders, and summing those amounts.

Explanation:

The question asks to find an inequality to determine the minimum amount of money, m, each cheerleader needs to raise to cover both the team fee and individual fees. Coach Walker's cheerleading team has a total team fee of $99 and individual fees amounting to $818.82 for 18 cheerleaders.

To find the equation that expresses the total cost, we start with the total individual fee for the cheerleaders, which is $818.82. This fee needs to be divided among the 18 cheerleaders, and when added to the team fee that is split equally, it gives the amount each cheerleader should raise.

The inequality should ensure that the total amount raised by each cheerleader, m, is enough to cover both their share of the team fee and their individual fee. The equation for the team fee per cheerleader is $99 divided by 18. We can add the individual fee of $818.82 divided by 18 to this amount to find the minimum amount each cheerleader should raise.

Setting up the Inequality

First, calculate the per person cost for the team fee: $99 / 18 = $5.50 per cheerleader.

Second, calculate the per person individual fee cost: $818.82 / 18 = $45.49 per cheerleader.

Now, we add both of these to find the total minimum amount each cheerleader should raise: $5.50 (team fee per cheerleader) + $45.49 (individual fee per cheerleader) = $50.99.

The inequality that represents the minimum amount each cheerleader needs to raise is:

m >= $50.99

This inequality ensures that each cheerleader raises at least enough to cover their portion of the fees.

Answer:

3 kg = 105.82 ounces

Step-by-step explanation:

We have,

1 ounce = 28.35 g

and

1 kg = 2.21 lb

If we want to the value of 3 kg to ounces. The direct relation between kilogram to ounce is as follows :

1 kg = 35.274 ounces

It means,

3 kg = 105.82 ounces

So, the value of 3 kg is equal to 105.82 ounces.

Answer:

“Although she set up the conversion correctly, she is not correct. She must have made an error when multiplying and dividing”

Step-by-step explanation:

Edge <3

Answer:

Check the explanation

Step-by-step explanation:

Journal entries are as follows:-

Date                 Account Titles                Debit                     Credit

Oct-01.            8% Note Receivable      $35,000.00

                                  Land                                                     $30,000.00  

                             Gain on sale                                             $5,000.00

                             (Sale of Land)  

Dec-31                 Interest Receivable          $700.00

                            Interest Revenue                                         $700.00

            (Interest revenue on Note for 3 mon. recognized)    

                      ($35,000 * 8% *3/12 = $700)  

Answer:

The length of the wire in millimeters is 9 × 10² mm.

Step-by-step explanation:

1 meter is equal to 1000 millimeters. This is the ratio that we use to convert a length in meters to one in millimeters.

0.9 m × (1000 mm/ 1 m) = 900 mm = 9 × 10² mm (we round off to 1 significant figure)

Answer: I will try my best to help, just let me know if this is wrong.

Step-by-step explanation: Subtraction and Addition are related to one another in the way that they both change the initial value of a particular number, by acting upon it with another number. Subtracting something and Adding something both end in the overall decrease or increase (change in value) of a number. Sorry if this didn't help, but if its due tomorrow I at least wanna try.

Answer:

a. 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes

b. 16 empanadas

Step-by-step explanation:

Since each of these ingredients is needed and the recipe is for a single empanada, each ingredient in the recipe must be multiplied by 6 since they are 6 empanadas, like this:

1/4 kg tuna * 6 = 6/4 = 3/2 kg tuna

1/6 kg of onion * 6 = 6/6 = 1 kg of onion

1/8 kg of red pepper * 6 = 6/8 = 3/4 kg of red pepper

2/5 kg of tomatoes * 6 = 12/5 kg of tomatoes

Therefore 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes need it.

Now, with 2 kg of red pepper, what we should do is divide this quantity by the quantity for a recipe, like this:

2 / (1/8) = 16

that is to say that with 2 kg of red pepper, a total of 16 empanadas would be made

Answer:

72

Step-by-step explanation:

Divide x2 x 2 by 1 1 . Divide 72 72 by 2 2 . Take the square root of both sides of the equation to eliminate the exponent on the left side. The complete solution is the result of both the positive and negative portions of the solution.

Answer:

15.2 feet

Step-by-step explanation:

We use Pythagorean Theorem to find the height.

The hypotenuse of the formed triangle =  length of ladder = 16 feet

base = 5 feet

let h = height of house

16 ^2 = 5^2  +  h^2

256 = 25 + h^2

231 = h^2

h = root(231) = 15.1986 feet

Answer: 8

Step-by-step explanation: 7.874007874011811 rounded is 8

Answer:

Step-by-step explanation:

If you don't want to use a calculator, then you must know your square roots

The first step is to think, "what is the closest number to 62, that when squared rooted, it would be a whole number?"

The closest numbers would be 49 (square root is 7)and 64 (square root is 8). But 64 is wayyy closer so by knowing the square root, you can work your way down to solve.

So you know that the square will inevitably be a decimal, and that the whole number will have to be 7 ( it can't be 8 because then it'll be higher than 64) and the decimal would have to be really high, like in between 5 and 9 bc 62 and 64 are really close.

Now this is just an estimate is it doesn't have to be exact. but I'm guessing the root would be around 7.8ish (rounded to nearest tenth)

but you can have a different answer, maybe closer :)

** if anything didn't make sense pls tell me !

Answer:

1.)4/9

2.)4

3.)9

4.)1/2

5.)-2/9

6.)-1

7.)1

8.)7/4

Step-by-step explanation:

Answer:A

Step-by-step explanation:

The student's question addresses the probability of selecting marbles of specific colors from a bag, which involves using combinatorics and probability theory, such as hypergeometric and multinomial distributions, for calculation.

The student's question pertains to the calculation of the probability of selecting marbles of a certain color from a bag, given a total number of marbles and the number of marbles of each color. The problems require knowledge of combinatorics and probability theory to solve.

Example 1

If a bag contains 50 marbles and 15 of them are green, the probability of choosing exactly 3 green marbles out of 10 selected can be calculated using the hypergeometric distribution. This involves using combinations to find out how many ways 3 green marbles can be chosen from 15, and how many ways 7 other marbles can be chosen from the remaining 35. These results are then divided by the number of ways to choose any 10 marbles from 50.

Example 2

When considering a bag with different colored marbles and drawing without replacement, the probability changes after each draw because the composition of the bag changes. The probability of drawing two specific colors in sequence requires multiplying the probability of drawing the first color with the probability of drawing the second color after the first has been removed.

Example 3

In scenarios where marbles are replaced after drawing, like with James and the blue and white marbles, the probability remains the same for each draw because the composition of the bag does not change.

Example 4

The multinomial distribution is used when we want to find the probability of a combination of outcomes happening over a series of events, such as drawing different color marbles a certain number of times with replacement.

Answer:

8

Step-by-step explanation: