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tiny-mole [99]
3 years ago
13

A reading list contains 3 historical books and 4 science-fiction books. What is the probability that Tena will randomly choose a

historical book for her first repost and a science-fiction book for her second?
a. 12/49

b.2/9

c.2/7

d.1 2/7
Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0
There are 7 books all in all. Since the order is important, there are 7P2 (permutation of 7 taken 2) ways in which Tena can do the repost. If she picks historical books first then followed by the science-fiction, there are
                                        3 x 4 = 12 ways. 
The probability is therefore equal to 12/(7P2) which is equal to 2/7. The answer is letter c. 
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9, 2, 1, 5, 9, 7, 1, 2, 2, 5, 6<br> Question<br> What is the median for the set of data
fenix001 [56]
Count:11Sum:49Mean:4.4545454545455Median:5Mode:2
6 0
3 years ago
Read 2 more answers
Find the domain of h(x)= 1/ 3x^2-15x
Schach [20]

Hello!

To find the domain of the function h(x), we need to find the values of x where it is undefined.

We can begin by factoring the denominator of the rational function, h(x).

h(x) = 1/(3x² - 15x) (factor 3x from the binomial)

h(x) = 1/3x(x - 5)

After factoring the denominator, apply the zero product property.

3x = 0 (divide both sides by 3)

x = 0

x - 5 = 0 (add 5 to both sides)

x = 5

The values of 0 and 5 cause h(x) to be undefined. The function h(x) comes from negative infinity to zero, where there is an asymptote. Also, from zero to five, there is also an asymptote. Finally, the function h(x) also goes to infinity from five.  

So therefore, the domain of the function h(x) is: (-∞, 0) ∪ (0, 5) ∪ (5, ∞).

8 0
3 years ago
Read 2 more answers
The answer to the question below is 8/15 right?
ioda
When you have something like this, to simplify the exponent you multiply them together, so the exponent is 1/3 x 1/5. 
1/3 x 1/5 is 1/15, so the simplified expression is: 
m^{ \frac{1}{15} } 
Hope this helps!
3 0
3 years ago
Read 2 more answers
Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t
Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

<h3>What is sequence ?</h3>

Sequence is collection of  numbers with some pattern .

Given sequence

a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20

We can see that

\frac{a_1}{a_2}=\frac{-10}{5}=-2\\

and

\frac{a_2}{a_3}=\frac{20}{-10}=-2\\

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now n^{th}  term of this Geometric progression can be written as

T_{n}= 5\times(-2)^{n-1}

So summation of 15 terms can be written as

\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0
3 years ago
Which is the answer?
BabaBlast [244]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
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