Bill used a rain gauge to measure how much rain fell, in centimeters (cm), during a
rainfall.


(ANYONE WANNA HELP ME?)

Using it's concept, it is found that there is a 0.2727 = 27.27% probability that the ball drawn is yellow.

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

In this problem, we have that the probabilities are as follows:

Then, the probability of picking a yellow ball is given by:

[tex]p = \frac{1}{3}\left(\frac{3}{11} + \frac{5}{11} + \frac{1}{11}\right) = \frac{9}{33} = 0.2727[/tex]

0.2727 = 27.27% probability that the ball drawn is yellow.

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Answer:

Step-by-step explanation:

Answer:

The decision tree is a explained as follows

Step-by-step explanation:

Currently two options are available

   3. If he buys a used refrigerator for $200 there is 40% chance that it will work for next three years. $80 ($200 * 40%)

              a. Repair the refrigerator for $150. $90 ($150 * 60%)

              b. Buy a new refrigerator for $600. $360 ($600 * 60%)

Answer:

58 Degrees

Step-by-step explanation:

if <3 is 110 degrees find the number of degrees

Answer:

Option A, 130°

Hope this helps!

Answer:

2/8 - 1/5x

1/4 - 1/5x

5/20 - 4/20x

*all possible answers listed above*

Step-by-step explanation:

Are there choices?

Answer:

1:

6y-3+y

D =7y-3

2.

50C

3.

6÷K

4.

7-x

5.

8p-4p

6.

2g-3

7.

1-7/p

D.(p-7)/p

Answer:

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Step-by-step explanation:

Given:

Side of regular pentagonal prism = 1 cm

Height of regular pentagonal prism = 1 cm

Find:

Volume of regular pentagonal prism

Computtaion:

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]

Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]

Volume of regular pentagonal prism = (0.25)[√5{9.472}]

Volume of regular pentagonal prism = (0.25)[√47.36]

Volume of regular pentagonal prism = (0.25)[6.8818]

Volume of regular pentagonal prism = 1.72045

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Answer:

217.96 or 218.0 in Big Ideas Math

Step-by-step explanation:

volume of the whole prism - smaller inner prism

Bigger Prism (apothem = 4, height = 6)

360/5 = 72   72/2 = 36

4 · tan (36) = 2.906

2.906 · 4 = 11.6247

11.6247 · 5 = 58.1234  ← The area of the Pentagon

58 · 6 = 348.740 ← The Bigger Prism Volume

Smaller Prism (apothem = 3, height = 4)

Keep in mind that the bottom, sides, and top of the box is one centemeters thick ⇒ smaller pentagon ⇒ (apothem = 4-1, height = 6 - 2)

3 · tan (36) = 2.1796

2.1796 · 3 = 6.5389

6.5389 · 5 = 32.6944  ← small Pentagon Area

32.6944 · 4 = 130.7777  ← Small Pentagon Prism Volume

Final Step

Area of big prism - small prism

348.74041 - 130.7777 = 217.9627

Round to the nearest tenth ⇒ 218.0

Answer:

11.2 cm

Step-by-step explanation:

62.72 / 5.6 = 11.2

Answer:

62.83

Step-by-step explanation:

Answer:

Option "B" is the correct answer to the following question.

Step-by-step explanation:

Given:

Joe swim = 3 meter north

Jow swim = 5 meter south

Find:

Distance travel by Joe

Displacemnet by Joe

Computtaion:

The overall travel of an item without consideration to direction is called distance.

So,

Distance travel by Joe = 3 + 5

Distance travel by Joe = 8 meter

The term "displacement" refers to a shift in an object's location.

Displacemnet by Joe = 5 - 3

Displacemnet by Joe = 2 meter South

Answer:

dA/dt = 31  in²/ sec

Step-by-step explanation:

The area of the triangle is:

A(t)  = (1/2)*b*h     where  b is the base and h the height

Differentiation on both sides of the equation we obtain

dA/dt  =  (1/2)* db/dt * h + (1/2)* dh/dt * b   (1)

db/dt  = 3 in/sec

dh/dt =  2 n/sec

b =  10 in

h = 14 in

By substitution in (1)

dA/dt =  0,5* 3*14 +  0,5* 2*10

dA/dt =  21 in² /sec + 10 in²/sc

dA/dt = 31  in²/ sec

Answer: d

Step-by-step explanation:

its d

Answer:

10-15

Step-by-step explanation:

Median is the middle of the numbers (or in this case, number sets)

The middle number set is the third.

Thus, the interval would be 10-15.

Answer: 5-10

Step-by-step explanation:

the median for 11 data points would be the sixth data point which falls into the 5 to 10 years interval

Answer:

x = -4, -5, -6, -7...

Step-by-step explanation:

x = all negative integers less than -3

Answer:

Tangent

Step-by-step explanation:

Tangent - A line that intersects the circle at exactly one place

Answer:

x = 43.4°

Step-by-step explanation:

when two straight line intersects, angles directly opposite of each other has the same value.

Answer:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

Step-by-step explanation:

We have the function:

[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1}[/tex]

Here we have a problem when x = 1, because that makes the denominator to be equal to zero.

For now, let's see what happens to the numerator when x = 1

1^2 + 11*1 - 12 = 12 - 12 = 0

So x = 1 is a root of the numerator.

Let's find the other root of the numerator, here we can use Bhaskara's formula:

[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*1*(-12)} }{2*1} = \frac{-11 \pm 13}{2}[/tex]

Then the two roots are:

x = (-11 + 13)/2 = 1

x = (-11 - 13)/2 = -12

And remember that a quadratic equation:

y = a*x^2 + b*x + c

With roots p and k, can be written as:

y = a*(x - p)*(x - k)

Then we can rewrite our numerator as:

1*(x - 1)*(x - (-12)) = (x - 1)*(x + 12)

Replacing that in the equation for f(x), we get:

[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1} = \frac{(x - 1)*(x + 12)}{(x - 1)} = \frac{x - 1}{x -1} *(x + 12)[/tex]

f(x) = x + 12

And, when evaluated in x = 1, we get:

f(1) = 1 + 12 = 13

Then the correct option is:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

Answer:

C

Step-by-step explanation:

I said so

Answer:

the correct answer is option B

Answer:

17.6369809748oz

Step-by-step explanation:

hope this helps

Answer:

17.637

Step-by-step explanation:

Answer:

19683

Step-by-step explanation:

1. find the ratio

this is geometric so..

54÷18=3

18÷6=3

2. set up the problem

3(3)^9-1

3^8= 6561

6561(3)=19683

The 9th term of a sequence is 39, 366.

In mathematics, a sequence known as a geometric progression (GP) is one in which each following term is generated by multiplying each preceding term by a constant integer, known as a common ratio. This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

We have the series: 6, 18, 54, ...

as, the series in Geometric Progression.

So, the common ratio = 18/6 = 3

and, 54/ 18= 3

Using the formula

[tex]a_n[/tex] = a[tex]r^{n-1[/tex]

So, for n= 9

[tex]a_9[/tex] = a[tex]r^{9-1[/tex]

[tex]a_9[/tex] = a[tex]r^{8[/tex]

[tex]a_9[/tex] = 6 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

[tex]a_9[/tex] = 39,336

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Answer:

Step-by-step explanation:

hi: the second, the third and the last one are true

Answer:

The second, the third and the last statement is true.

Hope this helps!

Answer:

We will begin with the graph of the tangent function, plotting points as we did for the sine and cosine functions. Recall that

tan

x

=

sin

x

cos

x

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on

−

π

2

to

π

2

, we can see the behavior of the graph on one complete cycle. If we look at any larger interval, we will see that the characteristics of the graph repeat.

We can determine whether tangent is an odd or even function by using the definition of tangent.

tan

(

−

x

)

=

sin

(

−

x

)

Step-by-step explanation:

Answer:

it is y=sin x

Step-by-step explanation:

i got it right on the test

Answer:

30.34

Step-by-step explanation:

easy math pppppppppp

According to the question,

The equation will be:

By solving the bracket, we get

→ [tex]2x + 8 - 6 = 5[/tex]

→       [tex]2x +2 = 5[/tex]

By subtracting "2" from both sides, we get

→ [tex]2x+2-2= 5-2[/tex]

→             [tex]2x = 3[/tex]

                [tex]x = \frac{3}{2}[/tex]

Thus the above answer is correct.

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