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3 years ago

Functions f(x) and g(x) are shown below:

Mathematics

1 answer:

hoa [83]3 years ago

6 0

f(x) is a multiple of the cosine function. g(x) is a multiple of the sine function. Both the cosine function and the sine function have a maximum value of 1, so the magnitude of the multiple will determine which function has the largest maximum value.

The multiple for f is 2; the multiple for g is 3, which is greater than 2. Hence g(x) has a larger maximum value than f(x).

You might be interested in

Which statement correctly describes this expression?<br> 2m^3 - 11

Nady [450]

Answer:

The cube of twice a number decreased by 11

6 0

3 years ago

A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanks

klio [65]

Answer:

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor of making the Tuesday before Thanksgiving a holiday, or they are against. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

So, the binomial probability distribution has two parameters, n and p.

In this problem, we have that $n = 1000$ and $p = \frac{700}{1000} = 0.7$ . So the parameter is

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

8 0

3 years ago

Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74^{\circ}

MissTica

Answer:

8.27 ft.

Step-by-step explanation:

Using trigonometry of a right angled triangle:

cos 74 = x / 30 where x is the required distance

x = 30 cos 74

= 8.269 ft

3 0

2 years ago

Which expression is equivalent to 3m1-m?<br> A) 2+m-1+m<br> B) 1+m<br> C) 3m-1<br> D) 3m

valkas [14]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Brandon has 32 stamps. He wants to display the stamps in rows, with the same number of stamps in each row. How many different wa

aniked [119]

Find all the factors of 32, as they come in pairs.
The pairs will give you how many rows you can have, as well as the number of stamps in each row.
1x32 would be 1 row, 32 stamps each
2x16 would be 2 rows, 16 stamps each.
4x8 would be 4 rows, 8 stamps each.
Once you reach the point that it flips around, you can count up all those ways as well.
8x4 is 8 rows with 4 stamps each
16x2 is 16 rows with 2 stamps each
32x1 is 32 rows with 1 stamp each
The total number of factor pairs is 6, meaning he can display the stamps in 6 different ways that follow his want of having the same number of stamps in each row.

8 0

3 years ago

Read 2 more answers