Can someone help with this question

What is a rhombus with no right angles

a_sh-v [17]

A quadrilateral I believe.

5 0

3 years ago

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Find a function where f(0)=2 and f(1)=2

xenn [34]

Answer:

Do you want to be extremely boring?

Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?

$f(x) = 2$ is a valid solution.

Want something more fun? Why not a parabola? $f(x)= ax^2+bx+c$ .

At this point you have three parameters to play with, and from the fact that $f(0)=2$ we can already fix one of them, in particular $c=2$ . At this point I would recommend picking an easy value for one of the two, let's say $a= 1$ (or even $a=-1$ , it will just flip everything upside down) and find out b accordingly: $f(1)=2 \rightarrow 1^2+b+2=2 \rightarrow b=-1$

Our function becomes

$f(x) = x^2-x+2$

Notice that it works even by switching sign in the first two terms: $f(x) = -x^2+x+2$

Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2: $f(x) = A cos (kx)$

Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need $A= 2$ , and at that point the first condition is guaranteed; using the second to find k we get $2= 2 cos (k1) = cos k = 1 \rightarrow k = 2\pi$

$f(x) = 2cos(2\pi x)$

Or how about a sine wave that oscillates around 2? with a similar reasoning you get

$f(x)= 2+sin(2\pi x)$

Sky is the limit.

8 0

2 years ago

Answer the following question and will mark Brainliest

spin [16.1K]

a) f(4) = 3*4 - 4

= 8

b) h(-3) = 5 - ( - 3)

= 5 + 3 = 8

c) h(4) - f(-5) = 1 + ( -19)

= -18

have a nice day <3

7 0

2 years ago

At a university, 12% of students smoke. Calculate the expected number of smokers in a random sample of 140 students from this un

Masteriza [31]

Answer:

a) The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.

b) No, it is unlikely that smoking habits and waking up early to go to the gym on Saturday are independent.

Step-by-step explanation:

To calculate the expected numbers of smokers in a sample with size n=140 and proportion p=12%, we use the expected value of the binomial distribution:

$E(x)=n\cdot p=140\cdot 0.12=16.8$

The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.

If we take a sample at the opening of the gym, the sample is not expected to be representative of the population of the students. Most of the students that go to the gym usually have healthy habits, so the proportions of smokers is expected to be lower than the average of the university population.

4 0

2 years ago

There are eight boxes. Each box holds one sweater. There are 3 blue, 2 brown, 1 green, and 2 red sweaters. What is the probabili

Reil [10]

3 + 2 + 1 + 2 = 8, which is the amount of sweaters.
The probability of a brown sweater is 2 / 8 = 0.25
And the probability of a green sweater is 1 / 8 = 0.125.

Multiply the two probabilities together to get the probability of choosing brown then green:
0.25 * 0.125 = 0.03125.

To convert a decimal to fraction, you multiply the numerator and denominator, or in this case $\frac{0.03125}{1}$ by 1000 which gets $\frac{31.25}{1000}$

Which can be simplified to:
$\frac{1}{32}$ .

Hope this helps.

8 0

3 years ago

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