Which set of absolute values is compared correctly?

What are the steps to this equation. 7 3/7 - 2 5/7

nignag [31]

Here is your answer:

7. 3×1=3
7×1=7

2. 5×1=5
7×1=7

=5 -2/7

Step one: write the equation

Step two: find the common denommarator (which is 7)

Step three: subtract 3-5= which equals to negative 2

Step four: subtract the whole numbers ( 7 and 2) which gives you five

Your answer is...

5 -2/7

3 0

4 years ago

A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52°. How far away is the man from th

GREYUIT [131]

Answer:

61.57 ft

Step-by-step explanation:

Look at the picture. You need to find the base value.

so we can sue the cosine formula here.

cos x° = adjacent / hypotaneous

cos 52 ° = adj / 100

adjacent = 100 cos 52°

=61.57 ft

6 0

3 years ago

Read 2 more answers

Jackson says has an odd number of model cars.he has 6 cars on one shel and 8 cars on another shelf.is jackson correct?explain

grigory [225]

No. It's rather simple, down to addition. Ask yourself, what does 6 + 8 equal? 6 + 8 = 14. Now is this an odd number? No, 14 is an even number.

I hope this helps! If not I'm sorry.

4 0

3 years ago

According to an airline, flights on a certain route are on time % of the time. Suppose flights are randomly selected and the n

neonofarm [45]

Answer:

(a) Explained below.

(b) 0.0294

(c) 0.0173

(d) 0.09827

(e) 0.0452

Step-by-step explanation:

The complete question is:

According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded.

(a) Explain why this is a binomial experiment.

(b) Find and interpret the probability that exactly 16 flights are on time.

(c) Find and interpret the probability that fewer than 16 flights are on time.

(d) Find and interpret the probability that at least 16 flights are on time.

(e) Find and interpret the probability that between 14 and 16 flights, inclusive, are on time.

Solution:

(a)

Let the random variable X be defined as the number of on-time flights.

A Binomial experiment has the following properties:

There are a fixed number of trials (n).
Each trial are independent of the others.
Each trial has only two outcomes: Success and Failure
Each trial has the same probability of success (p).

If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.

All of these properties can be confirmed for the random variable X.

Thus, this is a binomial experiment.

(b)

Compute the probability that exactly 16 flights are on time as follows:

$P(X=16)={25\choose 16}(0.80)^{16}(0.20)^{25-16}$

$=2042975\times 0.0281475\times 0.000000512\\=0.029442375072\\\approx 0.0294$

Thus, the probability that exactly 16 flights are on time is 0.0294.

(c)

Compute the probability that fewer than 16 flights are on time as follows:

$P(X$

$=0.0000+0.0000+....+0.011777\\=0.0173$

Thus, the probability that fewer than 16 flights are on time is 0.0173.

(d)

Compute the probability that at least 16 flights are on time as follows:

$P(X\geq 16)=1-P(X$

$=1-0.0173\\=0.9827$

(e)

Compute the probability that between 14 and 16 flights, inclusive, are on time as follows:

$P(14\leq X\leq 16)=\sum\limits^{16}_{x=14}{{25\choose x}(0.80)^{x}(0.20)^{25-x}}$

$=0.004+0.0118+0.0294\\=0.0452$

Thus, the probability that between 14 and 16 flights, inclusive, are on time is 0.0452.

8 0

3 years ago

If f(x) =3x^2 and g(x) =4x^3 +1 what is the degree of fg (x)

Julli [10]

F°g(x) = f(g(x)) = 3(g(x))² = 3(4x³ + 1)².
Now, when you expand the bracket, you will find that the highest degree or degree of the polynomial is 6.
∴degree of fg (x) = 6

4 0

3 years ago