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3 years ago

Help with functions question on math homework (file attatched)

Mathematics

1 answer:

NeTakaya3 years ago

4 0

By using the vertical line test, you can determine if anything graphed is a function.

Take a straight edge and draw vertical lines going through the line. If the vertical line touches the line more than once, it is not a function.

If you do this test correctly, you should find out that the answer is D.

You might think that A could be an answer, but don't be fooled. Option A is undefined.

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How do I solve this problem

VladimirAG [237]

Hi there!

Since, The length of th' tangents drawn from an external point to a circle are equal.

Therefore, we draw following conclusions :-

• CF = EC = 6 cm
• BE = DB = 16 cm
• AD = FA = 12 cm

Now,

According to th' question, Perimeter of ΔΑΒC :-

AB + BC + AC

⇒ AD + DB + BE + EC + CF + FA

⇒ 12 cm + 16 cm + 16 cm + 6 cm + 6 cm + 12 cm = 68 cm

Hence,
The Perimeter of ΔΑΒC is 68 cm

~ Hope it helps!

7 0

3 years ago

Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are nequals7 trials, eac

Ket [755]

Answer:

$P(X < 4)=0.1335+0.3115+0.3115+0.1730=0.9295$

Step-by-step explanation:

Question assumed: Find the probability that the number x of correct answers is fewer than 4.

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=0.25)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want to find this probability:

$P(X < 4)=P(X=0)+P(X=1)+P(X=2)+P(X=3)$

$P(X=0)=(7C0)(0.25)^0 (1-0.25)^{7-0}=0.1335$

$P(X=1)=(7C1)(0.25)^1 (1-0.25)^{7-1}=0.3115$

$P(X=2)=(7C2)(0.25)^2 (1-0.25)^{7-2}=0.3115$

$P(X=3)=(7C3)(0.25)^3 (1-0.25)^{7-3}=0.1730$

$P(X < 4)=0.1335+0.3115+0.3115+0.1730=0.9295$

3 0

4 years ago

Wayne and Winston are scuba diving and are ascending to the surface. The function y = 30x − 105 represents Wayne’s elevation in

arsen [322]

The function that represents Wayne´s elevation:
y = 30 x - 105
The function that represents Winston´s elevation:
- 100 = 0 m + b
b = -100
-16 = 3m - 100
3 m = 84
m = 84 : 3 = 28
y = 28 x - 100
Surface level: y = 0
Wayne:
0 = 30 x - 105
x = 3.5 minutes
Winston:
0 = 28 x - 100
x = 3.57 minutes
If they both ascend at the same rate, Wayne will be first to the surface.

5 0

4 years ago

Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsen

Ilya [14]

Answer:

Texas Texas Texas is I think right

7 0

3 years ago

What is mL <br> 38<br> 69<br> 73<br> 90

Ulleksa [173]

The size of Angle L should be the same as Angle C if the triangles are congruent (or at least similar) Since Angle C = 69o, then Angle L also = 69o. You should be very careful in accepting this assumption because looks can deceive. However if the assumption of congruency is not true, there is no way to solve the problem. L = 69o.

7 0

3 years ago