In 2010 there were 2000 American lions in a conservation park in Wisconsin. The lion population is decreasing
by 8% every year. Which of the following functions models the lion population after x years?

Answer:

-14

Step-by-step explanation:

substitute 4 for x

28(4) - 9 (2(4)+ 6)​

multiply

112-9(8+6)

add numbers

112-9(14)

multiply

112-126

subtract

-14

Answer:

It Is!

Step-by-step explanation:

"For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages."

Answer: after 5 hours, 75 cupcakes

Step-by-step explanation:

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

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].

11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).

This means that [tex]p = 0.11[/tex]

Random sample of 200 shafts

This means that [tex]n = 200[/tex]

Mean and Standard deviation:

[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]

(a) What is the (approximate) probability that X is at most 30

Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So

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

[tex]Z = \frac{30.5 - 22}{4.42}[/tex]

[tex]Z = 1.92[/tex]

[tex]Z = 1.92[/tex] has a pvalue of 0.9726.

0.9726 = 97.26% approximate probability that X is at most 30

Answer:

the second one or b. :)

Step-by-step explanation:

The coordinate of resulting image after dilation is (-5, -3)

Given the coordinate of an image (-10,-6), dilating the coordinate by 1/2 means reducing the image by multiplying each coordinate by the factor of 1/2.

From the calculation above, you can see that the coordinate of resulting image after dilation is (-5, -3)

learn more on dilation here: https://brainly.com/question/3457976

sorry i answerd the wrong question.

the verified answer is correct

Answer:

B

Step-by-step explanation:

I got u

The explicit formula for the geometric progression is f ( x ) = 3 ( 4 )ˣ⁻¹

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

f ( x + 1 ) = 4 f ( x )

where the second term is a₂ = 12

Now , the explicit formula is given by

f ( x ) = 3 ( 4 )ˣ⁻¹

when x = 2

f ( 2 ) = 3 ( 4 )²⁻¹

f ( 2 ) = 3 ( 4 )

f ( 2 ) = 12

Hence , the GP is f ( x ) = 3 ( 4 )ˣ⁻¹

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Answer:

A) 29

Step-by-step explanation:

Step 1: Find angle G

Since Sin(θ) = Opposite over Hypotenuse:

[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ

θ = 33.896°

Now repeat for just the smaller triangle:

[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]

Answer:

stratified sample

Step-by-step explanation:

The kind of sample that is being described is known as a stratified sample. This would be the type of sample because the researchers are dividing the entire student population that exists into various different categories or groups. The groups that have been created are home-schooled students, private school students, and public school students. All of the students are still part of the student population and therefore represent their groups.

Answer:

3x^2+6x^2= 9x^2

9x^2+4x^2

Step-by-step explanation:

Answer:

I am pretty sure it is most likely answer D.

Step-by-step explanation:

Hope this helps! Have a great day and good luck!

Answer:

Diagram 2, 12 foul balls

Step-by-step explanation:

12/3=4

12-4=8

Answer:

Hey Bud

your answer is x ≤ 8

Step-by-step explanation:

should be closed dot pointing to the negative numbers

Let's solve your inequality step-by-step

Step 1: Simplify both sides of the inequality.

Step 2: Add 13/5 to both sides.

Step 3: Multiply both sides by 5/(-4).

Answer:

11 ! have a great dayy:) !

Answer:

4 feet

Step-by-step explanation:

Let x be the height of the tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals 2 and 1/2. Let us represent this information in an equation.

5/8*x=2 and 1/2

Let us convert our given mixed fraction into an improper fraction.

5/8*x=5/2

Let us multiply both sides of our equation by 8/5.

8/5*5/8*x=5/2*8/5

x=8/2

x=4

Answer:

Week one: 5$ off

Week two: 10$ off

Week three: 15$ off

Week four: 20$ off

Week five: 25$ off

Week six: 30$ off

30-5=25 There is a 25 dollar difference from week one and week six

Step-by-step explanation:

Step-by-step explanation:

y2 - y1 / x2 - x1  

2 = 5 - y / (3 - 1)

4 = 5 - y

y = 1

So the line with slope 2 passes through the points (1,1) and (3,5).

Hope this helps!

2*(8+16/8)-3

= 2*(8+2)-3

2*10-3

20-3

17

Answer:

10x

Step-by-step explanation:

Answer:

10x

Step-by-step explanation:

Answer:

algebraic terms = 4- -4 = 8

Step-by-step explanation:

-4 is our lowest value as 5 is not equal or counted

4 is our highest value and is counted.

Answer:

I. -9 + y = 18

Step-by-step explanation:

Double-check to see if I was correct

The equations I. and III. satisfies the condition when y = 27

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The value of y = 27

So , substituting the value of y in all of the given equations , we get

I.  

-9 + y = 18

when y = 27

Substituting the value of y , we get

-9 + 27 = 18

18 = 18

So , I. satisfies the condition and the equation is TRUE

II.

-18 + y = 45

when y = 27

Substituting the value of y , we get

-18 + 27 = 45

9 ≠ 45

So , II. does not satisfy the condition and the equation is FALSE

III.

5y = 135

when y = 27

Substituting the value of y , we get

5 x 27 = 135

135 = 135

So , III. satisfies the condition and the equation is TRUE

IV.

2y = 49

when y = 27

Substituting the value of y , we get

2 x 27 = 29

54 ≠ 29

So , IV. does not satisfy the condition and the equation is FALSE

Hence , the equations I. and III. are TRUE

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Answer:

Step-by-step explanation:

Any line will add up to 180 degrees. If you subtract the 165 degrees from 180 (total), you will get the x value.

180 - 165 = 15 degrees

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

We are given:

[tex]\displaystyle \frac{w^{-x+4}}{w^{-3}}=w^{2x+1}[/tex]

First, by the quotient property:

[tex]w^{(-x+4)-(-3)}=w^{2x+1}[/tex]

Since they both have the same base, their exponents must be equivalent:

[tex](-x+4)-(-3)=2x+1[/tex]

Solve for x. Simplify:

[tex]-x+7=2x+1[/tex]

Therefore:

[tex]3x=6\Rightarrow x=2[/tex]

Answer:

x=2

Step-by-step explanation:

:]

Answer:

[tex]4^{4}[/tex]×[tex]6^{2}[/tex]

Step-by-step explanation:

There is 2 of the same number 6 and there is 4 of the number 4

I hope this helps

Answer:

Events A and B are independent if and only if P(A and B) = P(A)P(B). If you know these probabilities, you can check to see if this holds.

Step-by-step explanation:

:)