Max tossed a fair coin 3 times. What is the probability of getting heads in the first two trials and tails in the last trial?

 

 

Answers

Answer 1
Answer: When you toss a coin 3 times here is what can happen:
H=heads
T= Tails
HHH                        TTT
HHT                        TTH
HTH                        THT
HTT                        THH
Since 8 things can happen and only one of them is what you want, the probability is 1/8
Another way to think about it is each toss has 1/2 of coming up as you want it to.
Three tosses are 1/2 x 1/2 x 1/2 which is 1/8
                   
Answer 2
Answer: P\left( E \right) =\frac { 1 }{ 2 } * \frac { 1 }{ 2 } * \frac { 1 }{ 2 } =\frac { 1 }{ 8 }

You could get this answer by creating a tree diagram or by thinking about the possibilities that exist.

Realm of possibilities with one toss:

H or T.

Realm of possibilities with two tosses:

H, H
H, T
T, H
T, T

Realm of possibilities with three tosses:

H, H, H
H, H, T <--- 1/8 chance of taking place
H, T, T
T, T, T
T, T, H
T, H, H
T, H, T
H, T, H

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Sophina brought 3 yards of trim to put around a rectangular scarf. She does  not want the scarf to be wider than 12 inches or narrower than 6 inches .Using whole numbers , if she uses all the trim, what are the possible dimensions of her scarf in inches.
PLEASE HELPPP!! Triangle HJK and triangle PMK are similar right triangles.The coordinates of all the vertices are integers.Which statement is true about the slope of HK and the slope of PK?A) The slope of HK is less than the slope of PK, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for HK than it is for PK. B) The slope of HK is equal to the slope of PK, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for HK as it is for PK. C) The slope of HK is greater than the slope of PK, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for HK than it is for PK. D) The relationship between the slope of HK and the slope of PK cannot be determined, because the triangles are congruent.
What is square root of 1/25
Please, help I don’t understand what im supposed to do.

In a salad recipe, the ratio of carrots to cucumbers must remain constant. The table below shows some possible combinations of carrots and cucumbers.If only whole vegetables can be used, what is the fewest number of vegetables that can be used to make this salad?
A.) 1
B.) 3
C.) 4
D.) 12

Answers

Answer: Hello there!

The pairs in the table are: 3 carrots to 9 cucumbers, (dividing both sides by 3, we get 1 carrot to 3 cucumbers) wich has a ratio of 1:3.

after we got 4 carrots to 12 cucumbers, we could divide both sides by 4, and we also get a ratio of 1:3

And we can see this for all the pairs in the table, you always need to use cucumbers equal to three times the amount of carrots tat you used.

So if you use one carrot you need to use 3 cucumbers; wich ads to a total of 4 vegetables.

This is the less amount of vegetables that you can use because you can't use less than one carrot. (because you need to use whole vegetables)

Then the correct option is C.

Answer:

4

Step-by-step explanation:

The ratio of carrots to cucumber is 1:3.

The sum of their fewest amount is 4

Pls help me with #'s 13 and #15 with work pls so I know how u got it

Answers

13. linear functions alwasys have x^1 as highest exonent for placeholder
we see that in D, we have 6x^2 which is quadratic, not linear

D is ansre

15. isolate y
emember you can do anything to an equaiton as long as you do it to both sides

12x-4y=20
add 4y to both sides
12x+4y-4y=20+4y
12x+0=4y+20
12x=4y+20
minus 20 both sides
12x-20=4y+20-20
12x-20=4y+0
12x-20=4y
divide both sides by 4
12/4x-20/4=4/4y
3x-5=1y
3x-5=y
y=3x-5
why is it not listed, there is an error in the question, report the erre

One of the factors of 3p^5-12p^3 is

Answers

Answer: 3p^3 (p+2)(p-2)

4 √(40)  + 7 √(160)

Answers

Answer:

Step-by-step explanation:

44√(40) + 7 √(160) = 4√(2*2*2*5)  + 7√(4*4*5*2)\n  = 4*2√(10)  + 7*4√(10)\n = 8√(10) + 28√(10) \n

= (8 + 28)√10

= 36√10

Answer:

36√(10)

Step-by-step explanation:

Using the rule of radicals

√(a) × √(b)√(ab)

Simplifying the radicals in the expression

√(40)

= √(4(10))

= √(4) × √(10) = 2√(10)

√(160)

= √(16(10))

= √(16) × √(10) = 4√(10)

Thus

4√(40) + 7√(160)

= 4 × 2√(10) + 7 × 4√(10)

= 8√(10) + 28√(10)

= 36√(10)

Match the mean, median, mode, and range for the data set below.19, 18, 16, 6, 8, 18, 14, 14, 13

Answers

Answer:

hello :) mean is 14, median is 14, mode is 14 and 18, range is 13

Step-by-step explanation:

for mean add all numbers and divide by how many numbers there are, for median put the numbers in order then find the middle one, for mode find the number(s) that appear the most, and for range subtract the smallest number from the biggest.

hope this helps and im sorry if im wrong but i tried :)

Answer: the mean is 13.4

Step-by-step explanation:

Can a quadratic function ever be an odd function? Explain why.

Answers

no, odd functions are odd degrees
quadratic functions are to 2nd degree (Even)