The speed of a baseball pitcher's fastball is 84.2 miles per hour. His fastball is 10%

What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles, 16 red marble

boyakko [2]

Option B

Probability of drawing yellow marble followed by a red marble is $\frac{32}{301}$

<em><u>Solution:</u></em>

Given that a bag containing 12 yellow marbles, 16 red marbles, and 15 green marbles

So total number of marbles = 12 + 16 + 15 = 43

To find: probability of drawing yellow marble followed by a red marble if the first marble is not replaced

<em><u>The probability of an event is given as:</u></em>

$probability =\frac{\text { number of favorable outcomes }}{\text { total number of possible outcomes }}$$

<em><u>probability of drawing yellow marble followed by a red marble if the first marble is not replaced:</u></em>

First we pick up yellow marble.

Number of favorable outcomes = 12 yellow marbles

Total number of possible outcomes = 43 marbles

$\text{ probability} = \frac{12}{43}$

Now we have to pick red marble

But first marble is not replaced

So we have 43 - 1 = 42 number of possible outcomes

Favorable outcomes = 16 red marbles

$\text{ probability} = \frac{16}{42}$

So probability of drawing yellow marble followed by a red marble is:

$\text[ probability } = \frac{12}{43} \times \frac{16}{42} = \frac{32}{301}$

Thus probability of drawing yellow marble followed by a red marble is $\frac{32}{301}$

7 0

3 years ago

Im confused, not sure how to do this. Please help me it is geometry, specifically perpendicular lines with an equation and a poi

marishachu [46]

The line y = -3 is a horizontal line. The perpendicular line will be vertical, so will have an equation of the form
x = c
for some constant c.

You want the vertical line to go through the point (4, -6), so the required value of c is the x-value of that point: 4

Your equation is
x = 4

7 0

3 years ago

Two bikers are riding a circular path.

kolbaska11 [484]

<h2> $\huge \mathfrak \orange{Question}$ </h2>

Two bikers are riding a circular path.

The first rider completes a round in 12

minutes. The second rider completes

a round in 18 minutes. If they both

started at the same place and time

and go in the same direction, after

how many minutes will they meet

again at the starting point?

<h2> $\huge \mathfrak \orange{Solution}$ </h2>

$\huge \mathsf \blue{Given}$

First rider takes 12 minutes to complete a round.
Second rider takes 18 minutes to complete a round.

$\huge \mathsf \blue{To\: Find}$

After how many minutes will they meet

again at the starting point?

Take the LCM of 12 and 18

12 = 2 × 2 × 3

18 = 2 × 3 × 3

Thus, the LCM of 12 and 18 is 36.

<h3>So they will meet after 36 minutes again at the starting point.</h3>

8 0

3 years ago

Read 2 more answers

What is the value of h when the function is converted to vertex form?

Rudik [331]

The Vertex Form is $y=(x+5)^2+10$
So $h=5$

Hope this helps!!

7 0

3 years ago

Read 2 more answers

JKL is a straight line.

kirza4 [7]

Answer:

x = 32°

Step-by-step explanation:

∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.

m<KML = m<KLM = 58°

m<MKL = 180 - (58 + 58) (Sum of triangle)

m<MKL = 64°

m<JKM = 180 - m<MKL (linear pair theorem)

m<JKM = 180 - 64 (Substitution)

m<JKM = 116°

∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.

Thus:

x = ½(180 - m<JKM)

x = ½(180 - 116) (Substitution)

x = 32°

3 0

3 years ago