Pls help. The probability of choosing a red marble out of a bag of marbles is 3/10. What are the odds in favor of choosing a red marble?

(Justify your answer)

Answer:

B. 75

Step-by-step explanation:

According to vertical angles theorem, angles that are opposite of one another with shared lines will be equal, so we can set 5x = x +60.

Solving for x, we get x = 15, and substituting into the angle we get 15 + 60 = 75 degrees.

Answer:

840cm^3

Step-by-step explanation:

Given data

Length= 20cm

Width= 3cm

Height= 14cm

The expression for the volume/capacity of the container is

Volume= L*W*H

Volume= 20*3*14

Volume= 840cm^3

Answer:

Up to eight times

Step-by-step explanation:

[tex](30 - 13) \div 2 \\ 17 \div 2 = 8.5[/tex]

Answer: 13 is a rational number

Step-by-step explanation: By definition, a rational number is a number q that can be written as a fraction in the form q=a/b where a and b are integers and b≠0. So, 1/3 is rational because it is exactly what you get when you divide one integer by another.

Answer:

392

Step-by-step explanation:

I would separate this into 2 shapes a triangle and a square. So first take the area of the square

area of square = base x height

16x19=304

Than take the area of the triangle

area of triangle = 1/2(base x height)

you can find the height of the triangle by subtracting 19 from 30 which is 11, and the base is the same as the base of the square which is 16

1/2(16x11)= 88

Add them together

304+88=392

Answer:

yes

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data.

because not every father would be born on the same day this is a statistical question.

i think this question answer is 734.76cm^3

Answer:

the Pythagorean theorem states:  

a^2 + b^2 = c^2  in your case a=24 and c=40

Step-by-step explanation:

24^2 + b^2 = 40^2

24x24 + b^2 = 40x40

(576 + b^2 = 1600)  

b^2 = 1600 - 576

b^2 = 1024

b= √1024

b = 32

Final answer: 32

The length of b is 32 units in triangle ΔABC.

Pythagoras theorem states that, a right-angled triangle, the square of the one side is equal to the sum of the squares of the other two sides.

a² + b² = c²

Given data as :  a=24 and c=40

Substitute the values of a and c in the equation,

24² + b² = 40²

24x24 + b² = 40x40

(576 + b² = 1600)  

b² = 1600 - 576

b² = 1024

b= √1024

b = 32

Hence, the length of b is 32 units.

Learn more about Pythagoras theorem here:

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Answer:

3x

Step-by-step explanation:

Answer:

the answer would be c

Step-by-step explanation:

≤ less than or equal to sign

2by some number take away 4 is less than or equal to 26

Answer:

the answer is c

Step-by-step explanation:

twice a number

we don't know the number so it's x

so 2x

then we decrease it by 4

so 2x-4

then Less than or equal to is ≤

then you put 26

so 2x-4≤26

Answer:

2x^2-4x-16

Step-by-step explanation:

2(x^2-2x-8)=2x^2-4x-16

Answer:

13.74

Step-by-step explanation:

Answer:

13.74

Step-by-step explanation:

Add 0.4+0.3 = 0.7, so the equation now looks like this: 12.95+0.7+0.09

Add 0.7 + 0.09 = 0.79, so the equation now looks like this: 12.95 + 0.79

Add 12.95 + 0.79, so now you are left with: 13.74

hope this helps, ask me if you need more explanation

Answer:

Answer is Option B.

That is the nth term of the sequence.

1/8 + 1/16 + 1/32....

You notice that all the numerators are the same. Which is (1).

so we have to both about getting the nth term of the denominator

Since all the denominator are divisible by 2... and Your intuition should tell you that they'd multiples of 2

So Lets go with 2^n

2^n

let n be all Integers

let take 1,2,3

2¹ = 2

2² = 4

2³ = 8

Now Observe that

If you multiply all these by 4... We will have all the values of the denominator

which are 4,16,32

So thats our nth term

1/4(2^n)

as n approaches positive Infinity.

The expression is [tex]\lim_{n \to \infty} \frac{1}{4(2^{n}) }[/tex] , so option (B) is the correct expression.

"A series expansion is an expansion of a function into a series or infinite sum. It is a method for calculating a function that cannot be expressed by just elementary operators (addition, subtraction, multiplication, and division)".

For the given situation,

The series is given as [tex]\frac{1}{8} +\frac{1}{16}+ \frac{1}{32}+ \frac{1}{64}+ \frac{1}{128}+......[/tex]

In the series, all the numerators are 1 and the denominators are even numbers so multiples of 2.

Now, we examine the denominators alone.

[tex]8,16,32,64,128[/tex]

⇒ Multiples of 2. So we get [tex]2^{n}[/tex] multiplied by some integers.

Put [tex]n=1,[/tex]

⇒ [tex]2^{1}[/tex] × [tex]4=8[/tex]

Put [tex]n=2,[/tex]

⇒ [tex]2^{2}[/tex] × [tex]4=8[/tex]

Put [tex]n=3,[/tex]

⇒ [tex]2^{3}[/tex] × [tex]4=32[/tex]

Put [tex]n=4,\\[/tex]

⇒ [tex]2^{4}[/tex] × [tex]4=64[/tex]

Put [tex]n=5[/tex],

⇒ [tex]2^{5}[/tex] × [tex]4=128[/tex]

Thus [tex]2^{n}[/tex] expression becomes [tex]2^{n}(4)[/tex] .

Hence we can conclude that the expression is [tex]\lim_{n \to \infty} \frac{1}{4(2^{n}) }[/tex] . So option (B) is the correct expression.

Learn more about the series expansion here

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Answer: 97

Step-by-step explanation:

394 / 4 = 98.5, so the 4 numbers must be around 98.5.

97 + 98 + 99 + 100 = 394

Answer: the answer is  |x-5,if x<5|

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

-9x^2+x-10

Step-by-step explanation:

Answer:

I think its D

Answer:

Corresponding angles...

1 and 5

2 and 6

3 and 7

4 and 8

Alternate Interior Angles

3 and 6

4 and 5

Alternate Exterior angles

1 and 8

2 and 7

x equals to 10.............

Answer:

Infinitely many solutions.

Step-by-step explanation:

4(x-8)+9=4x-23

4x-32+9=4x-23

4x-23=4x-23

infinitely many solutions.

Answer:

12

Step-by-step explanation:

Use the pythagorean theorem ([tex]a^2+b^2=c^2[/tex]). A and b are the two legs of the triangle, and c is ALWAYS the hypotenuse. Plug in the values for a and c

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

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

[tex]b^2=144[/tex]

[tex]b=12[/tex]

Answer:

b = 12m

Step-by-step explanation:

5^2 + b^2 = 13^2

25 + b^2 = 169 --> *subtract 25 form both sides*

b^2 = 144 --> find square root of 144*

b = 12

Answer:

x = 19

Step-by-step explanation:

The two angles form a right angle

A right angle has a measure of 90 degrees

Thus, x + 14 + 3x = 90

               ^This is the equation we will use to solve for x

x + 14 + 3x = 90

step 1 combine like terms

x + 3x = 4x

we now have 4x + 14 = 90

step 2 subtract 14 from each side

90 - 14 = 76

14 - 14 cancels out

we now have 76 = 4x

step 3 divide each side by 4

4x / 4 = x

76 / 4 = 19

we're left with x = 19

Answer:

A. (-4, 6 )

Step-by-step explanation:

Signals of x and y in each quadrant:

Suppose we have a point P(x,y).

In the first quadrant, we have that both are positive, that is, x > 0, y > 0.

In the second quadrant, x is negative, while y is positive, that is, x < 0, y > 0.

In the third quadrant, both are negative, that is, x < 0, y < 0.

In the fourth quadrant, x is positive while y is negative, that is, x > 0, y < 0.

In this question:

In the second quadrant, we have x negative and y positive, so the ordered pair that best describes is given by option A.

Answer:

42 total amount of butter Katy used on all 3 days

Step-by-step explanation:

1 day she used 14 butter stick

2 day she used another 14 butter stick

3 day she used another 14 butter stick

14 x 3 = 42

Answer:

569.

Step-by-step explanation:

Answer:

12+8+2+21+31×12√2

BODMAS

so start with multiplication

12+8+2+21+372√2 = 43+372√2=569.09

Answer: B. Completely Randomized Design

Step-by-step explanation:

A completely randomized design is an experimental design such that treatments are assigned at random completely in order for each experimental unit to have same chance of receiving treatment.

In this scenario, since all the dogs are randomly assigned treatment by picking a card without taking into consideration other factors, then we can infer that thus is a completely randomized design.