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Artist 52 [7]
3 years ago
15

The spinner is divided into equal parts. Use a tree diagram to find the probability that the spinner will land on a consonant th

e first time and a vowel the second time if the spinner is spun twice
A:2/3
B:2/9
C:3/4
D:5/9
Mathematics
1 answer:
otez555 [7]3 years ago
7 0
In this case, we will first find out the individual probabilities of the events:

Probability (consonant on first spin)  = 1/3 

Probability (vowel on second spin) = 2/3 

Now,
Using the two probabilities we can find out the required probability.

Probability (consonant and vowel) = 1/3 × 2/3 

Probability (consonant and vowel) = 2/9

Therefore,
The best answer choice is:

<span>B: 2/9</span>
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3 years ago
What is six over eight plus four over eight
solniwko [45]
Answer: 5/4

Explanation:
We have the same denominator so we can just add the numerator.

= 6/8 + 4/8
=10/8
10/8 can be simplified
=5/4
5 0
3 years ago
If WZYX is equal to PMLN describes two quadrilaterals, which other statement is also true? I NEED THIS ANSWER ASAP
kondor19780726 [428]

Answer:

C.WXYZ equal to PNLM

Step-by-step explanation:

Look at the given statement, WZYX is equal to PMLN.

WZYX is equal to PMLN.   W corresponds to P.

WZYX is equal to PMLN.   Z corresponds to M.

WZYX is equal to PMLN.   Y corresponds to L.

WZYX is equal to PMLN.   X corresponds to N

Now look in the choices. The letters must correspond like they do above.

W must correspond to P.

WXYZ equal to P...

X must correspond to N.

WXYZ equal to PN...

Y must correspond to L.

WXYZ equal to PNL...

Z must correspond to M.

WXYZ equal to PNLM

Answer: C.WXYZ equal to PNLM

8 0
3 years ago
Read 2 more answers
Write the equation from the graph in slope intercept form​
Oxana [17]

Answer:

y=2/3x−4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be
Oksana_A [137]
<h2>Hello!</h2>

The answers are:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

<h2>Why?</h2>

To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.

So,

Tet be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

x_{FirstCar}=x_o+v*t

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

x_{SecondCar}=x_o+(v+14mph)*t

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles,  so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours

Writing the equation:

264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph

So, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

Have a nice day!

7 0
3 years ago
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