The expression 11x2 - 12x - 10 has ___ terms and a constant of __

Aisha collects 1p coins and 2p coins. 24 of these are 1p coins. The probability of choosing a 2p coin at random is 1/2 How much

sdas [7]

Answer:

Aisha has 24 2p coins and 24 1p coins, then she has in total:

2p*(24) + 1*p*(24) = 48p + 24p = 72p

Step-by-step explanation:

Suppose that we have a set of N elements in a bag (if the bag is closed and we put our hand inside to grab one element, we could not distinguish them apart), and K of these elements have a given property (for example, these are red).

The probability of selecting at random one of these red elements is equal to the quotient between the number of elements with that property (K) and the total number of elements in the bag (N)

P = K/N

Now let's go to our problem.

We have 24 1p coins.

We have X 2p coins.

Then the total number of coins is: (24 + X)

We know that the probability of choosing at random a 2p coin is then:

P = X/(24 + X)

And we know that this is equal to 1/2

Then:

X/(24 + X) = 1/2

X = (1/2)*(24 + X) = 24/2 + X/2

X = 12 + X/2

X - X/2 = 12

X/2 = 12

X = 2*12 = 24

Then Aisha has 24 2p coins.

Aisha has 24 2p coins and 24 1p coins, then she has in total:

2p*(24) + 1*p*(24) = 48p + 24p = 72p

7 0

3 years ago

PLZ HELP ASAP LAST SIMMILIAR TRIANGLES

harina [27]

In the given figure we have two similar triangles:

a) Triangle ABC
b) Triangle ADE

Two sides of triangle ABC are 2 and x
The two corresponding sides of triangle ADE are (2+1)=3 and 1

The ratio of corresponding sides of similar triangles is always equal, so we can write:

$2:x=3:1 \\ \\ 
 \frac{2}{x}= \frac{3}{1} \\ \\ 
2=3x \\ \\ 
x= \frac{2}{3}$

Therefore, the measure of x will be 2/3

7 0

3 years ago

The sales tax in one town is 8%. So, the total cost of an item can be written as c + 0.08c. What is the total cost of an item th

frutty [35]

Answer:

12.96

Step-by-step explanation:

6 0

3 years ago

When you roll a standard number cube once, what is the probability of rolling a number divisible by 3?

sashaice [31]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

On a standard cube there are the numbers 1, 2, 3, 4, 5, 6

Only 2 are divisible by 3, that is 3 and 6, hence

P(divisible by 3 ) = $\frac{2}{6}$ = $\frac{1}{3}$

3 0

3 years ago

A machine that manufactures automobile pistons is estimated to produce a defective piston 1% of the time. Suppose that this esti

GenaCL600 [577]

Answer:

Mean: 0.9 pistons

Standard deviation: 0.944 pistons

Step-by-step explanation:

Either a piston is defective, or it is not. This means that for either piston, there can only be two outcomes. This means that we can solve this problem by the binomial distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and each trial can only have two outcomes, with probabilities $\pi$ and $1 - \pi$ .