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3 years ago

A quarter, a nickel,and a penny are flipped. Find the probability of each of the following:-

1 answer:

3 0

The probability of an event is the measure of the chance that the event will occur as a result of an experiment. The probability of an event A is the number of ways event A can occur divided by the total number of possible outcomes.
a.) since each coin has 50% chance to have heads
(1/2) x (1/2) = 1/4 probability The penny and nickel shows head

b.) All these coins land the same way
(1/2) x (1/2) x (1/2) = 1/8

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Explain why x and 4x - 10 are factors of the expression x(4x - 10)3 rather than terms of the expression. What are the terms of t

andriy [413]

Solution :- Let p(x) be the polynomial such that

$p(x) = x(4x-10)^3\\\text{and let f(x) be another polynomial such that }\\f(x)=4x-10\\\text{To find , Put } f(x)=0\\\Rightarrow4x-10=0\\\Rightarrow4x=10\\\Rightarrow x=5/2\\\text{Now substituting value of x in p(x),we get}\\p(x)=\frac{5}{2} .(4(5/2)-10)^3\\\Rightarrow\frac{5}{2}.(10-10)^3=0\\\text{Similarly let g(x)=x ,we get x=0 by putting g(x)=0}\\\text{now f(x)=0 for x=0}\\\text{So by Factor theorem f(x) and g(x) are the factors of polynomial p(x)}\\$

$\text{Now} p(x) = x(4x-10)^3\\=64x^4-480x^3+1200x^2-1000x\\\text{so the terms of terms of } p(x) \text{are} 64x^4,-480x^3,1200x^2,-1000x\\\text{here, by using Factor theorem x is a factor of all the terms but 4x-10 is not. }$

$\text{And the terms of the factor 4x-10 are 4x and -10}$

3 0

3 years ago

291.87 irrational or rational

aliina [53]

291.87 is rational since the last (decimal) numbers aren't repeating.
If it was repeating (291.877777...) it would be irrational.

4 0

3 years ago

Is 3/4 less than 1/2 or more than 1/2?

nalin [4]

Answer: more than 1/2

Step-by-step explanation: 1/2 equals 2/4 so 3/4 is more.

4 0

3 years ago

Read 2 more answers

a meat pie contains chicken and turkey in the ratio 4:1. The pie contains 200g of Chicken. How much turkey is in the pie?

kogti [31]

Answer:

50 grams

Step-by-step explanation:

From the above question:

Chicken : Turkey

= 4:1

Sum Proportions = 4 + 1 = 5

We have to find the weight in grams of the entire pie

Let us represent the weight in grams of the entire pie = x.

The pie contains 200g of Chicken.

Hence:

4/5 × x = 200g

4x/5 = 200g

Cross Multiply

4x = 200g × 5

x = 200g × 5/4

x = 250g

The amount turkey that is in the pie is calculated as:

Total weight of pie - Amount of Chicken in the pie

= 250g - 200g

= 50 g

3 0

3 years ago

2/3 of a pizza was left over. A group of friends divided the leftover pizza into pieces each equal to 1/18 of the original pizza

sasho [114]

There was 10 friends because there if you times 2/3 by 6 you get 12/18 and 10 people eat it then there is 3/18 left and after you simpfly it you get 1/6

4 0

3 years ago