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4 years ago

Suppose we want to choose 3

Mathematics

1 answer:

Sonja [21]4 years ago

5 0

Answer:

a. 24 ways

b. 4 ways

Step-by-step explanation:

Please check the attached files for explanation

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If a recipe calls for 12tsp of butter and 1 and 1/2 cups sugar, but only 10 tsp is available, then how much sugar will be needed

pashok25 [27]

I hope this helps you!

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4 years ago

Consider the quadratic function f(x) = x2 – 5x + 6.

rusak2 [61]

A = 1
b = -5
c = 6

these values are simply the coefficient of each term

8 0

3 years ago

Use set notation to denote the elements, subsets, and complements of the following given sets.

vlabodo [156]

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.

7 0

3 years ago

A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after th

Citrus2011 [14]

Answer:

Value of k is $\displaystyle\frac{3}{8}$

Step-by-step explanation:

We are given the following information in the question:

$f(x) = kx^2, 0\leq x \leq 2\\~~~~~~~= 0, \text{ otherwise}$

where x is the time elapses between the end of the hour and the end of the lecture.

We have to find the values of k.

Since, f(x) is the pdf, then,

$\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}$

Hence, value of k is $\displaystyle\frac{3}{8}$

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3 years ago

Alex’s printer can print 8 photos in 12 minutes.

nataly862011 [7]

Answer:

B and D

Step-by-step explanation:

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3 years ago