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lara [203]
2 years ago
6

There are 9 red gumballs, 5 green gumballs, 8 yellow gumballs, and 8 blue gumballs, what is the probability of choosing green th

en yellow. please explain how you got your answer.
Mathematics
1 answer:
Alex777 [14]2 years ago
3 0
9+5+8+8=30  <-- all balls

The probability of choosing green ball is \dfrac{5}{30}=\dfrac{1}{6}
The probability of choosing yellow ball is \dfrac{8}{30}=\dfrac{4}{15}

So, the probability of choosing green ball and then yellow one is \dfrac{1}{6}\cdot\dfrac{4}{15}=\dfrac{2}{45}


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Please help me with this problem​
eimsori [14]

Find the equation of the first line using the two given points: (1,-1) (-1,-5)

Slope = change in Y over change in x:

Slope = (-5-(-1)) / (-1-(1) = -4/-2 = 2

Now find y intercept: y - y1 = m(x-x1) = y -(-1) = 2(x-1)

Simplify to get y = 2x-3

Now a perpendicular line has a opposite reciprocal slope.

The perpendicular line would be y = -1/2x - 3

You are told the y intercept is -4 units greater, so add -4 to -3 to get -7

The answer would be A. y = -1/2x-7

6 0
3 years ago
Hey can anyone help pls and thank you
MrRissso [65]

Answer:

5x+28=7x-4

5x+32=7x

32=2x

x=16

Hope This Helps!!!

4 0
2 years ago
Read 2 more answers
There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of frui
aleksklad [387]

Answer:

The probability is 1/8

Step-by-step explanation:

We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:

Probability = Number of nectarines / Total pieces = 2 / 16

To find the fraction in the simplest form, we divide the numerator and denominator by 2:

Probability = (2/2) / (16/2) = 1/8

3 0
3 years ago
A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is
Nata [24]

the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75

<u>Step-by-step explanation:</u>

Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.

Let the cost of each pound of trail mix is $y.

and  the cost of each pound of jelly beans is $x.

According to question,

For   3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.

⇒ 3x+2y=11  →  (1)

For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23

⇒ 5x+6y=23 →  (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒3(3x+2y)-5x-6y=3(11)-23

⇒9x+6y-5x-6y=10

hence,

⇒4x=10

⇒x=2.5

Putting x=2.5 in  3x+2y=11  we get ;

⇒  3x+2y=11

⇒  3(2.5)+2y=11

⇒  2y=11-7.5=3.5

⇒  y=1.75

Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .

6 0
3 years ago
The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000
ANEK [815]

Answer:

see the explanation

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in hours

y ----> the distance in miles

<em>Find the value of k</em>

For the point (4,2268)

k=\frac{2,268}{4}=567\ mph

The slope represent the speed of the airplane

so

The linear equation is

y=567x

Part 1 :

The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.

Part 2 :

The  point  (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

3 0
3 years ago
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