A bag with 12 marbles has 12 blue marbles. A marble is chosen from the bag at random. What is the probability that it is blue?
Write your answer as a fraction in simplest form.

Answer:

There are 14 dimes and 17 nickels.

Step-by-step explanation:

Let x be number of nickels and let y be number of dimes.

Given that the total is $2.25 and there are 31 coins, we know that:

[tex]0.05x +0.10y = 2.25[/tex]

[tex]x+y = 31[/tex]

Solving for x yields:

[tex]x=31-y[/tex]

We then proceed by plugging that back into the previous equation:

[tex]0.05(31-y)+0.10y=2.25[/tex]

[tex]1.55 - 0.05y +0.10y = 2.25\\[/tex] --> Distribute

[tex]1.55 +0.05y=2.25[/tex] --> add y's together

[tex]0.05y=0.7[/tex] --> subtract 1.55

[tex]y=14[/tex] --> divide by 0.05

Therefore, x must equal 17, which means you have 14 dimes and 17 nickels.

The mean and standard deviation of the random variable X if 60 percent of city residents support the proposal is 1200 and 21.9 respectively.

From the information given, the mean of the binomial variable x will be:

= 2000 × 60%

= 2000 × 0.6

= 1200

The standard deviation will be:

= ✓n × ✓p(1 - p)

= ✓1200 × ✓0.4

= ✓480

= 21.9

Also, the mean and standard deviation to determine the values of k1 and k2 will be -3 and 3.

Lastly, the test statistic will be:

= (0.65 - 0.60)/(✓0.60 × (0.40) /2000

= 0.05/✓0.24/2000

= 0.05/0.011

= 4.55

The z value at 5% significance level is 1.64. This supports the funding of the proposal.

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Answer:

135 Cubic Inches

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Answer:

g + a = 24. 2 g + a = 42.

Step-by-step explanation:

Each goal gets 2 points and each assist gets 1 point

If # of goals = g , and you get 2 points for each goal, then points acquired by goals can be represented by 2g

If # of assists = a, and you get 1 point for each assist, then points acquired by assists can be represented by a

The total # of points the player had was 42. This means that 2g + a = 42 (this is the first equation)

We are also told the player scored a total of 24 goals and assists. If g = # of goals and a = of assists, then g + a = 24 (this is the second equations)

So the two equations are g + a = 24. 2 g + a = 42.

Answer:

g + a = 24. 2 g + a = 42.

Step-by-step explanation

trust

Answer: Choice C  

Mean = 37.1

==================================================

Explanation:

Refer to the table below. The colum labeled "M" is the midpoint for each age interval. To find the midpoint, add up the endpoints and divide by 2. For example, the midpoint of 18 and 24 is (18+24)/2 = 42/2 = 21. Notice how the values of M are increasing by 7 each time.

The column labeled fM refers to multiplying the frequency f with the midpoint M. Example: fM = 6*21 = 126 in the first row.

Add up everything in the column labeled fM and you should get 1484. Divide this over the sum of the frequencies (40) and the mean is 1484/40 = 37.1

Answer:

c is the right answer

Step-by-step explanation:

hope i helped

Answer:

1.3

Step-by-step explanation:

To find what x equals, you need to first divide by 48 and 37.

This is because that x is being multiplied by 37.

48 ÷ 37 = 1.297.......

The 97 in 1.297 is repeating and goes on forever.

Rounding the the nearest tenth would create the number 1.3 as the correct answer.

Answer: £198.27

Step-by-step explanation:

Answer:

6x+4y=16

Step-by-step explanation:

2 ( 3x)  + 2 (2y) = 2 (8)

   6x + 4y = 16     <===== add this equation to the top equation to get

11x = 22

then x = 2    use this value of x in any of the equations to calculate y

5(2) - 4y = 6

10 - 4y = 6

    -4y = -4

        y = 1

Answer:

x = [tex]\frac{b-c}{b}[/tex]

Step-by-step explanation:

c = b - bx ( add bx to both sides )

bx + c = b ( subtract c from both sides )

bx = b - c ( divide both sides by b )

x = [tex]\frac{b-c}{b}[/tex]

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &\$0.55\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &20\\ \end{cases} \\\\\\ A=0.55(1 + 0.05)^{20}\implies A=0.55(1.05)^{20}\implies A\approx 1.46[/tex]

Answer:

Therefore, the GCF of 15 and 50 is 5.

Step-by-step explanation:

Solution:

The greatest number that divides 15 and 50 exactly is their greatest common factor, i.e. GCF of 15 and 50.

⇒ Factors of 15 and 50:

Factors of 15 = 1, 3, 5, 15

Factors of 50 = 1, 2, 5, 10, 25, 50

Therefore, the GCF of 15 and 50 is 5.

Answer: -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the width as below

Substitute the values and solve for w

Now find the volume

Answer:

width = 3ft

volume = 144 ft³

Step-by-step explanation:

Pythagoras Theorem

[tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

The diagonal of the base of the aquarium, its height, and the length from the top corner to the opposite bottom corner forms a right triangle.  As we know two of the lengths, we can use Pythagoras Theorem to calculate the unknown length (diagonal of base).

Given:

[tex]\implies \sf 12^2+b^2=13^2[/tex]

[tex]\implies \sf b=\sqrt{13^2-12^2}[/tex]

[tex]\implies \sf b=5[/tex]

Now we know the length of the diagonal of the base, we can again use Pythagoras Theorem to find the width of the aquarium.

Given:

[tex]\sf \implies 4^2+b^2=5^2[/tex]

[tex]\sf \implies b=\sqrt{5^2-4^2}[/tex]

[tex]\sf \implies b=3[/tex]

Therefore, the width of the aquarium is 3 ft.

As the aquarium is modeled as a rectangular prism:

[tex]\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf width \times length \times height\\ \implies \textsf{Volume of aquarium} & = \sf 3\:ft \times 4\:ft \times 12\:ft\\& = \sf 144 \:\:ft^3\end{aligned}[/tex]

X = 5 boxes

figure out the X for each person

Lizzy sold: 5 * 5 = 25 boxes

Suzy sold: 5 * 1 = 5 boxes

John sold: 5 * 3 = 15 boxes

Mark sold: 5 * 8 = 40 boxes

Lamar sold: 5 * 4 = 20 boxes

→ How many boxes did Lamar sell?

Answer: 20 boxes

→ How many more boxes did John sell than Suzy?

Answer: 10 boxes

workout: 15 boxes - 5 boxes = 10 boxes more

→  How many more boxes would Lizzy have to sell to equal how many Mark sold?

Answer: 15 boxes

workout: 40 boxes - 25 boxes = 15 boxes more

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

Each Cross (X) represents 5 boxes

Now, let's move on to questions :

-) 4 Cross = 4 × 5 = 20 boxes

-) (4× Cross) - (1 × cross)

-) (3 × 5) - (5)

-) 25 - 5 = 10more boxes than Suzy

-) (8 × Cross) - (5 × Cross)

-) (8 × 5) - (5 × 5)

-) 40 - 25

-) 15 more boxes to be sold to get equal to the number of boxes mark sold.

Answer:

25,645

________________________________________________________

First, find 4,695 × 10

[tex]4,695 * 10 = 46,950[/tex]

Next, do 2,132 × 10

[tex]2,132 * 10 = 21,320[/tex]

Now, subtract by 15.

[tex]21,320 - 15 = 21,305[/tex]

Lastly, subtract by the product you found earlier.

[tex]46,950 - 21,305 = 25,645[/tex]

________________________________________________________

Ask in comments box.

Using it's concept, it is found that there is a 0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Starting at floor 15, these are the following outcomes that result in the elevator being at floor 18 in 5 seconds, each with [tex]0.5^5[/tex] probability:

5 outcomes, hence the probability is:

[tex]p = 5 \times (0.5)^5 = 0.1563[/tex]

0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.

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Answer:

x= 5× 17

= 85milimetres

y= 65÷ 5

=13milimetres

29/30

2x + y - 3z

2 x 2/5 + 2/3 - 3x1/6

4/5 + 2/3 - 3/6

x 3 x 5

12/15 + 10/15 - 3/6

22/15 - 3/6

x2. x5

44/30 - 15/30

= 29/30

Hope this helps!

You have to multiply the Diameter, times Pi.(3.14)

7. 21.98

8. 62.8

9.75.36

10. 59.66
11. 84.78
12. 3082.2

 I dunno the last one. I probably do but
Hope This Helped!

Answer:

A

Step-by-step explanation:

square is the correct answer

Answer:

y=6

Step-by-step explanation:

When you put the points on a plane, you can see it is a horizontal line, therefore the slope is 0

Remember that 0 times any other number is 0

So, instead of having y=0x+6 you can simplify the 0x and you have y=6

keeping in mind that two dozen cookies is just 24 cookies, then

[tex]\begin{array}{ccll} eggs&cookies\\ \cline{1-2} 3 & 24\\ x& 2 \end{array} \implies \cfrac{3}{x}=\cfrac{24}{2}\implies \cfrac{3}{x}=12\implies 3=12x \\\\\\ \cfrac{3}{12}=x\implies \cfrac{1}{4}=x[/tex]

Answer:

3 or it could also be 1 ( also like demon slayer me tooo )

Answer:

I've done this b4

(0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)

The probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour is 0.0833 or 8.33%.

Your computer sends a request for the file to a Web server, and the Web server sends back a response.

For one particular Web server, the time X (in seconds) after the start of an hour at which a randomly selected request is received has the uniform distribution shown in the figure.

The probability of finding value less than the X is,

[tex]P(X < x)=\dfrac{x-a}{b-a}[/tex]

Here, a and b are two bonds of uniform distribution.

The probability distribution of X can be modeled by a uniform density curve on the interval from 0 to 3600 seconds, as shown in the given figure.

The probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour has to be found out. Thus,

[tex]P(X < x)=\dfrac{300-0}{3600-0}\\P(X < x)=0.0833\\P(X < x)=8.33\%[/tex]

Thus, the probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour is 0.0833 or 8.33%.

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