Solve for the other variable. (2 points: 1 point for the answer, 1 for showing the work)
4. Combine the two equations to eliminate one of the variables, and then solve for the other. (3 points: 1 for eliminating one variable, 1 for the answer, and 1 for showing your work)

12x4=48

48-32=16

4-2=2

16 divided by 2=8 birds

Answer:

4 cats, 8 birds

Step-by-step explanation:

make a system of equations and solve.

Answer:

82.4 cm

Step-by-step explanation:

The computation of the height is given below:

As we know that each right triangle contains the top angle of 20 degrees

So, the right angle & the bottom corner angle equivalent to

= 180 - 90 - 20

= 70 degrees

Now the height is

tangent = opposite leg ÷ adjacent leg

tan (70°) = height ÷ 30 cm

height = 30 cm × tan (70°)

= 82.4 cm

Answer:

a) 0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.

b) 0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway.

Mean of 12 potholes per mile, which means that in a quarter-mile stretch, the mean is [tex]\mu = \frac{12}{4} = 3[/tex]

This probability is:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*(3)^{0}}{(0)!} = 0.0498[/tex]

[tex]P(X = 1) = \frac{e^{-3}*(3)^{1}}{(1)!} = 0.1494[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992[/tex]

0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.

b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway.

This is

[tex]P(X > 1) = 1 - P(X < 2)[/tex]

We have that [tex]P(X < 2) = 0.1992[/tex]

So

[tex]P(X > 1) = 1 - P(X < 2) = 1 - 0.1992 = 0.8008[/tex]

0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.

Answer:

The variable of interest is the proportion of flips that land the correct way when flipped randomly.

The necessary conditions [tex]n\pi \geq 10[/tex] and [tex]n(1-\pi) \geq 10[/tex] are present.

The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).

Step-by-step explanation:

Variable of Interest:

Proportion of flips that land the correct way when flipped randomly.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Necessary conditions:

The necessary conditions are:

[tex]n\pi \geq 10[/tex]

[tex]n(1-\pi) \geq 10[/tex]

You observe 2180 random, independent flips, and 325 land the correct way.

This means that [tex]n = 2180, \pi = \frac{325}{2180} = 0.149[/tex]

Necessary conditions

[tex]n\pi = 2180*0.149 = 325 \geq 10[/tex]

[tex]n(1-\pi) = 2180*0.851 = 1855 \geq 10[/tex]

The necessary conditions [tex]n\pi \geq 10[/tex] and [tex]n(1-\pi) \geq 10[/tex] are present.

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.33[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 - 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.131[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 + 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.167[/tex]

The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).

Answer:

Step-by-step explanation:

Correct choice is D

It's the rectangle and squares(answer)

Step-by-step explanation:

Squares can be rectangles but rectangles cant be squares.

Answer: 38

Step-by-step explanation: i dont know

Answer:

38

Step-by-step explanation:

hey there!

so if you didn't know ll means absolute value

the absolute value of -35 is 35

the absolute value of 7 is 7

the absolute value of-5 is 5

the absolute value of -4 is 4

and -(-5) the two negative signs cancel out to make it +5

now we have 35+7-5-4+5

35+7=42

42-5=37

37-4=33

33+5=38

so the answer would be 38

ANSWER: 0.0000643 x 10^0

Answer:

14/29. reduced form............

Answer:

Answer:

Trinomial

degree of polynomial:2nd degree - Quadratic

Step-by-step explanation:

Answer:14.5% of 19 is 13.05, so the value of n would actually be 13.05

Answer:

I would say the answer is 2

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

It's either x-6 or x+6 I wanna say that it is x-6 because they moved the shape down, but it could also have been moved up. I was assuming that the green one was the original, which would make the answer x-6.

Step-by-step explanation:

Answer:he is wiring the answer would be x+6 and the bike is the original because it does not have primes on the numbers

Step-by-step explanation:learn your mad bro

Answer:

First I need to know how much chores she does because I can't get the money that she makes with the word SOME I need to know how many chores she makes.

Step-by-step explanation:

Answer:

16 inches or 1 1/3 foot

Step-by-step explanation:

4 feet = 48 inched

48/3 = 16 inches

The reflected coordinates of the triangle along y = 3 are  X'(0, - 1), U'(3, - 1) and L'(3, - 5).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, a triangle is reflected along y = 3.

First, the coordinates (x, y) of the triangle are X(0, 5), U(-3, 5) and L(-3, 1).

We know reflected along the y-axis is (-x, y) so reflection along y = 3 is

(-x, y - 2×3).

∴ X'(0, - 1), U'(3, - 1) and L'(3, - 5).

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Answer:

0.5625 = 56.25% probability that at least 3 flies have to be checked for eye color to observe a white-eye fly.

Step-by-step explanation:

A sequence of independent Bernoulli trials is 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.

[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.

What is the probability that at least 3 flies have to be checked for eye color to observe a white-eye fly?

This is the probability of no white-eyes during the first two flies, that is, [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]

Probability of white-eyes is 1/4

This means that [tex]p = \frac{1}{4} = 0.25[/tex]

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

[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]

0.5625 = 56.25% probability that at least 3 flies have to be checked for eye color to observe a white-eye fly.

Answer:

mean

Step-by-step explanation:

the mean is the average

Answer:

the correct answer is "mean"

Step-by-step explanation:

Answer:

No, it is not a function because they should be going to their designed areas Hope this helped/.

Step-by-step explanation:

The correct answer is,

(a) Very unlikely. It will almost certainly never happen.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The winning number in a Pick 4 lottery was 1234 two days in a row.

Now,

Since, there is a 1 in 10,000 chance of drawing any particular four-digit number in a single drawing, there is very little chance that the same number will be picked twice in a row in a Pick 4 lottery.

Even less likely, at one in 100,000,000,000, is the same number being selected three times in a row.

So, (a) Very unlikely is the correct response. It's almost probably never going to happen.

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Answer: 50

Step-by-step explanation:

(7*8) - 6

56 - 6 = 50

Function:

A. x times 60 = the amount of squirrels in that year

Answer

B. 6 X 60 = 360

Step-by-step explanation

Years   | Squirrels

______________

 1          |       60

---------------------------

   2      |       120

-------------------------

   3      |        180

-------------------------

  4      |        240

-------------------------

   5     |     300

-----------------------

   6    |     360

Answer: B

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

srry took a sec

Answer:

Step-by-step explanation:

yes can you tell me the step by step explanation