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aev [14]
3 years ago
14

Sally climbed 575 steps in 11.5 minutes. How many steps did she average per minute?

Mathematics
2 answers:
irga5000 [103]3 years ago
7 0

Answer:

50

Step-by-step explanation:

575/11.5=50

Alexxx [7]3 years ago
3 0

Answer:

50 steps averaged per minute

Step-by-step explanation:

If you divide 575 by 11.5 you will find the end result of 50

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Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are f
Deffense [45]

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

P(A) = 0.1*0.8 + 0.25*0.2 = 0.13

Probability that a student is foreign and undergraduate:

10% of 80%. So

P(A \cap B) = 0.1*0.8 = 0.08

What is the probability that the student is an undergraduate?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154

0.6154 = 61.54% probability that the student is an undergraduate

8 0
3 years ago
Find the inverse of the given relation.
il63 [147K]

Answer:

The answer is B.

Step-by-step explanation:

To obtain the inverse of a relation you simply interchange the x and y coordinates of each pair.

Here:

(3,1) becomes (1,3)

(3,1) becomes ((1,3)

(7, -7) becomes (-7,7) and

(12, -15) becomes (-15, 12)


6 0
4 years ago
What is 8(3+a)? Please answer
alisha [4.7K]

The Answer is

<h2>24 + 8a</h2>

or, 8a + 24

To get the answer we have to distribute the 8, which means we have to multiply both terms in the parentheses by 8.

8 x 3 = 24

8 x a = 8a

So the answer is 24 + 8a

<h3><u></u></h3>
7 0
2 years ago
Read 2 more answers
Evaluate each geometric series described<br> 1-4+16-64...., n=6
xz_007 [3.2K]

Answer:

- 819

Step-by-step explanation:

The sum to n terms of a geometric series is

S_{n} = \frac{a(r^n-1)}{r-1}

where a is the first term and r the common ratio

Here a = 1 and r = - 4 ÷ 1 = - 4, thus

S_{6} = \frac{1((-4)^6-1)}{-4-1} = \frac{4096-1}{-5} = \frac{4095}{-5} = - 819

5 0
3 years ago
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A chef has 10 spice jars, but his new spice rack only holds 8 spice jars.
miskamm [114]
This is a statistics problem on permutation and combination. To differentiate this, permutation involves on the arrangement in which order doesn't matter. For combination, order matters.

For example, if you arrange A, B and C, for permutation it could be AB, BA, CA, AC, BC and CB. But for combination, it would just be AB, AC and BC. 

So, in this problem where he is asked to arrange 8 jars in which order doesn't matter. It is permutation. You can solve this just by calculator. The formula would be nPr, where n is the total number of items while r is the number of items to be sorted. Thus,

nPr = 10P8 = 1, 814,400

Thus, the answer is B.
5 0
3 years ago
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