4−6=−2−16−2 4 k - 6 = - 2 k - 16 - 2 for

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for red, 1/20 fo

VARVARA [1.3K]

Probability helps us to know the chances of an event occurring. The probability of pulling a green or red card is 9 / 100.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

P = $\dfrac{Desired \ outcomes}{Posiible \ outcomes}$

The probabilities of different color cards being pulled are 1/25 for red, 1/20 for green, 1/15 for purple, and 1/10 for black Therefore, the probability of pulling a green or red card is,

Probability = 1/20 + 1/25

= (5 + 4) /100

= 9 / 100

Hence, the probability of pulling a green or red card is 9 / 100.

Learn more about Probability:

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3 0

2 years ago

A bus is going to a museum 135 miles away. The bus will travel at 30 miles per hour. How long will it take the bus to get

TEA [102]

Answer:

4.5 hours

Step-by-step explanation:

distance equals rate times time, a relationship that can be solved for time:

time = distance / rate

Here the time is (135 miles) / (30 mph) = 4.5 hours

The bus requires 4.5 hours to get to the museum.

7 0

2 years ago

Joe has $70 in a savings account. The interest rate is 10% per year and is not compounded,

sladkih [1.3K]

Answer:

$28

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 70 × 0.1 × 4 = 28

I = $ 28.00

The simple interest accumulated

on a principal of $ 70.00

at a rate of 10% per year

for 4 years is $ 28.00.

8 0

3 years ago

Line passing through (2,5) and the m= -5/6

kiruha [24]

Answer:

y - 5 = (-5/6)(x - 2)

y - 5 = (-5/6)x + 10/6

y - 30/6 = (-5/6)x + 10/6

y = (-5/6)x + 20/3

Step-by-step explanation:

5 0

3 years ago

A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The

Vladimir [108]

Using the Sine rule,

$\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}$ $\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}$

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

$A^0+P^0+B^0=180^0$ $\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}$

Using the side rule to find the length of wire BP,

$\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}$

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

4 0

1 year ago