Point M is on line segment overline LN . Given LN = 11 and LM = 4 , determine the length MN.

A basket contains 13 pieces of fruit: 5 apples, 5 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket

lisabon 2012 [21]

Use formula for theoretical probability:

$Pr=\dfrac{\text{the number of favorable outcomes}}{\text{the number of possible outcomes}}.$

1. The probability that Jonas will get an orange is

$Pr(\text{Jonas gets orange})=\dfrac{5}{13}.$

2. Ben is taking a piece second and he has 12 piecies left, among them 5 apples, 4 oranges and 3 bananas. The probability that Ben will get an apple is

$Pr(\text{Ben gets apple})=\dfrac{5}{12}.$

3. Use the product rule to determine

$Pr(\text{Jonas gets orange and Ben gets apple})=\dfrac{5}{13}\cdot \dfrac{5}{12}=\dfrac{25}{156}.$

Answer: correct choice is A.

7 0

3 years ago

Read 2 more answers

Written in standard form, when will a quadratic equation have a local maximum?

diamong [38]

Answer:

If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum. For example, if you have the function 2x^2+3x-5, the function has a minimum because the x^2 coefficient, 2, is positive.

8 0

3 years ago

What’s the product of 7 and 8

Sveta_85 [38]

Answer:

The result of multiplying 7 with 8 is called the product. Thus, the product of 7 and 8 is as follows:

56

In other words, we find the product of 7 and 8 by simply calculating 7 times 8 which equals 56. Pretty easy huh?

If someone asks you, "What is the product of 7 and 8?", your answer will be:

7 x 8 = 56

To find any product in the future on your own, just remember that the product is the answer you get when you multiply numbers together.

3 0

3 years ago

Read 2 more answers

Use the information in the graph to answer the following.

Anit [1.1K]

Answer:

Ff

Step-by-step explanation:

5 0

3 years ago

Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 5?

umka21 [38]

<h2>Answer:</h2>

The statement which best describes the effect of replacing the function f(x) with g(x) is:

The graph shifts 7 units up.

<h2>Step-by-step explanation:</h2>

The function f(x) is given by :

$f(x)=2x-2$

The function f(x) is a linear function with positive slope.

and the function g(x) is given by:

$g(x)=2x+5$

The function g(x) is a linear function with same positive slope.

Also, we know that any transformation of the type:

f(x) → f(x)+k

is a translation transformation such that it if k>0 then it is a shift k units upwards and if k<0 then it is a shift k units downward.

Here we have:

g(x)=2x+5-2+2

i.e.

g(x)=2x-2+7

i.e.

g(x)=f(x)+7

Hence, the function g(x) is a translation of the function f(x) 7 units upward.

5 0

3 years ago