What is the inverse of the given relation?

y = 3x + 12

Answer:

w-(v+4)

Step-by-step explanation:

please give brainliest

Answer:

1(2)+3=5

Step-by-step explanation:

Answer:

more information

Step-by-step explanation:

Answer:

-50y+(-80)

Step-by-step explanation:

Answer:

No, this can not be a triangle because if you use the Pythagorean theorem 5 squared plus 2 squared doesn't equal 10 squared.

Step-by-step explanation:

You take 5 squared and 2 squared and add them, you then find the square root and that should equal 10, if not its not a triangle.

Answer:

a) 0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.

b) 0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.

c) 0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.

d) 0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.

Step-by-step explanation:

To solve this question, we use the binomial probability distribution, and also it's approximation to the normal 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.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

62% of owned dogs in the United States are spayed or neutered.

This means that [tex]p = 0.62[/tex]

48 owned dogs are randomly selected

This means that [tex]n = 48[/tex]

Mean and standard deviation, for the approximation:

[tex]\mu = E(x) = np = 48*0.62 = 29.76[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{48*0.62*0.38} = 3.36[/tex]

a. Exactly 30 of them are spayed or neutered.

This is P(X = 30), which is not necessary the use of the approximation.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 30) = C_{48,30}.(0.62)^{30}.(0.38)^{18} = 0.1180[/tex]

0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.

b. At most 33 of them are spayed or neutered.

Now we use the approximation. This is, using continuity correction, [tex]P(X \leq 33 + 0.5) = P(X \leq 33.5)[/tex], which is the pvalue of Z when X = 33.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{33.5 - 29.76}{3.36}[/tex]

[tex]Z = 1.11[/tex]

[tex]Z = 1.11[/tex] has a pvalue of 0.8665

0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.

c. At least 31 of them are spayed or neutered.

Using continuity correction, this is [tex]P(X \geq 31 - 0.5) = P(X \geq 30.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 30.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 29.76}{3.36}[/tex]

[tex]Z = 0.22[/tex]

[tex]Z = 0.22[/tex] has a pvalue of 0.5871

1 - 0.5871 = 0.4129

0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.

d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.

This is, using continuity correction, [tex]P(24 - 0.5 \leq X \leq 30 + 0.5) = P(23.5 \leq X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 23.5.

X = 30.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 29.76}{3.36}[/tex]

[tex]Z = 0.22[/tex]

[tex]Z = 0.22[/tex] has a pvalue of 0.5871

X = 23.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{23.5 - 29.76}{3.36}[/tex]

[tex]Z = -1.86[/tex]

[tex]Z = -1.86[/tex] has a pvalue of 0.0314

0.5871 - 0.0314 = 0.5557

0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.

Answer:2440

Step-by-step explanation:

Answer:

Option C, [tex]y = -2x + 7[/tex]  

Step-by-step explanation:

1) Slope-intercept format is represented by the formula [tex]y = mx + b[/tex]. By looking at the options, we can see that all of them follow this format.  

So, first, we can identify which equations have a slope of -2 to narrow down our options. In slope-intercept form, the coefficient of the x-term, or [tex]m[/tex], represents the slope. So, this narrows the answer down to options b and c because they are the only ones that have [tex]m[/tex] as -2.  

2) Next, in order to find which equation is the right answer, we can substitute the x and y values of the given point (4, -1) into both equations, then simplify. Whichever equation results in a true statement must be the answer. Let's try option c first. Substitute 4 for x and -1 for y:

[tex]-1=4(-2)+7\\-1 = -8+7\\-1=-1[/tex]

-1 does equal -1, so this statement is true. Thus, option c must be the answer.

The equation of the straight line will be -

y = -2x + 7

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have an equation of the line that passes through the point (4,-1) and has a slope of -2.

Assume the equation of the line to be -

y = -2x + c

The line passes through the point (4,-1), so we can write -

-1 = -2 x 4 + c

-1 = -8 + c

c = -1 + 8

c = 7

Therefore, the equation of the straight line will be -

y = -2x + 7

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Answer:

Y=1/4x+33/4

Step-by-step explanation:

Y=1/4x+b

9=1/4(3)+b

9=3/4+b

8.25=33/4=b

Y=1/4x+33/4

Answer: G

Step-by-step explanation:

Its g because its on the same side of the cube

Answer: G

Step-by-step explanation:

Answer:

An method would be ASA

Step-by-step explanation:

Answer:

13b

Step-by-step explanation:

Answer:

The correct Answer is B: 13B

Step-by-step explanation:

Have A Nice Day.

Answer:

38 miles per gallon

Step-by-step explanation:

465 miles / 12 gallons

38 miles / gallon

Answer:

i think 80

Step-by-step explanation:

Answer:

there is no expression

Step-by-step explanation:

Answer:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

[tex]i^2 = -1[/tex]

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]

Output of 40 when x=1

This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So

[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]

[tex]40 = a(20)(2)[/tex]

[tex]40a = 40[/tex]

[tex]a = 1[/tex]

The polynomial is:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Answer:

x= - 8

Step-by-step explanation: Are you solving for X if so here is the answer

Answer:

15, y = 1/2x + 3.75

Step-by-step explanation:

Am not 100% sure but for #15

cuz I graphed it & it looks alike

Answer: 16

Step-by-step explanation:

there are 3 feet in one yard so divided 48 by 3 and you get 16

Answer:

16

Step-by-step explanation:

Answer:

put the data in ascending order

not sure if it's correct

Answer:

I believe it is -6

Step-by-step explanation:

Answer:

here's the link to the answer

Step-by-step explanation:

WWW.math.com/int.etg

9514 1404 393

Answer:

  (b)  10.5 in

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h . . . . . . for radius r and height h

Then the height is ...

  h = 3V/(πr²)

Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...

  h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in

The height of the cone is about 10.5 inches.

Answer:

16 units²

Step-by-step explanation:

Area of the right triangle = ½ × base × height

base = 8

height = 4

Substitute

Area = ½ × 8 × 4

Area = ½ × 32

Area = 16 units²

Answer:

4*3/4* 7=21 bones per week

Answer:

= 4 ¾ × 7

= 33.25 snack bones

Answer:

an equilateral triangle have equal angles and equal sides.

so, side x and side bc are 12.

Answer:

It's going to be 12, so is the other size.

Step-by-step explanation:

You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D