The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 325. i.Write a function that gives the lion population size,P(t), t years from today ii. What will the population be in 4 years. Write an exponential function for all three

Answer:

\(+/-3.05\)

Step-by-step explanation:

The margin of error will be the difference divided by two with a plus and minus sign

So we have;

\(29.5-23.4=6.1\)

Divide by \(2\)

\(6.1\) ÷ \(2=3.05\)

\(=3.05\)

Therefore, The margin error is therefore

\(+/-3.05\)

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Answer:

H0: μ = 5 versus Ha: μ < 5.

Step-by-step explanation:

Given:

μ = true average radioactivity level(picocuries per liter)

5 pCi/L = dividing line between safe and unsafe water

The recommended test here is to test the null hypothesis, H0: μ = 5 against the alternative hypothesis Ha: μ < 5.

A type I error, is an error where the null hypothesis, H0 is rejected when it is true.

We know type I error can be controlled, so safer option which is to test H0: μ = 5 vs Ha: μ < 5 is recommended.

Here, a type I error involves declaring the water is safe when it is not safe. A test which ensures that this error is highly unlikely is desirable because this is a very serious error. We prefer that the most serious error be a type I error because it can be explicitly controlled.

The question about a particular animal that could NOT be answered using only the data collected from the tracking collars would be do the movement patterns of the animal vary according to the weather? That is option C.

A tracking collars is a neck device that usually has a GPS device attached to it which is used by biologists to track the movement of animals that are under study.

The functions of the tracking collars include the following:

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Complete question:

Biologists often attach tracking collars to wild animals. For each animal, the following geolocation data is collected at frequent intervals.

The time

The date

The location of the animal

Which of the following questions about a particular animal could NOT be answered using only the data collected from the tracking collars?

A. Approximately how many miles did the animal travel in one week?

B. Does the animal travel in groups with other tracked animals?

C. Do the movement patterns of the animal vary according to the weather?

D. In what geographic locations does the animal typically travel?

C. Do the movement patterns of the animal vary according to the weather?

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

The domain are the values of x, and if x has to be greater than -2 and less than 4. we get

Answer:

-2<=y<=-7

Step-by-step explanation:

The solution is, he had 68 marvels.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

he added 36 marvels, now, he has 104 in total,

we have to find that, how many he had.

let, he had = x

so, we know, added = 36

i.e. now total is = x+36

ATQ, we get,

x+36 = 104

or, x = 104 - 36

or, x = 68

Hence, The solution is, he had 68 marvels.

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Answer:

utprirtdufyfohxhcf2667566596 y _&÷&8€5697= 34 minutos y el no te

Answer:

→ 12th term of the given AP is -39.

Step-by-step explanation:

Given AP is 16,11,6,1

First term = 16

Common difference =11-16 = -5

We know that

nth term of an AP = an = a+(n-1)d

Now,

12 th term = a12

⇛a12 = a+(12-1)d

⇛a12 = a+11d

⇛a12 = 16+11(-5)

⇛a12 = 16+(-55)

⇛a12 = 16-55

⇛a12 = -39

12th term of the given AP = -39

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In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.

Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.

We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:

3 ml x 3 ml x 3 ml

-------- = ----------

728 ml total, 8 ml overall

If we cross-multiply, we obtain:

8(x) = 3(728)

To find x, we use the formula x = 3(728)/8 = 273

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

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273 milliliters of compound A are needed to make 728 milliliters of the drug.

What are proportions?

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.

Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:

3 : (3+5) or 3:8

This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.

To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:

3/8 = x/728

where x represents the amount of compound A needed.

To solve for x, we can cross-multiply:

8x = 3*728

8x = 2184

x = 273

Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.

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Answer:

16 gallons

Step-by-step explanation:

If she pumped 2 gallons per min, for 8 mins. you would do 8x2=16 let me know if it was helpful

Answer:

Hope the picture will help you

The graph does not represent a function, because is is possible to draw a vertical line that intersects the graph more than once.

An infinite number of nodes or vertices and the connecting edges make up a graph, which is a type of non-linear data structure. When dealing with real-world issues, graphs in data structures are used because they model the issue as a network, similar to social networks, telephone networks, and circuit networks.

In a telephone network, for instance, it might depict a single user as nodes or vertices, with the telephone line connecting them as edges.

The non-linear type of data structure known as a graph is composed of nodes, also known as vertices and edges. In a graph, the nodes, which are also referred to as vertices, are connected by edges.

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Answer:

Its The lengths of segment DE and segment EF are congruent, and their slopes are opposite reciprocals.

Step-by-step explanation:

I took the test

The characteristics should be that The lengths of segment DE and segment EF are congruent, and their slopes are opposite reciprocals.

An Isosceles Right Triangle refer to a right triangle that comprise of two equal length legs.

Also, the two legs of the right triangle should be equivalent in length, the corresponding angles should also be considered as the congruent.

Hence, the last option is correct.

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Answer: 93,220

Step-by-step explanation: Just add a zero to the end to get 93,220.

Answer: 93,220 I hope it was quick enough

Step-by-step explanation:

Answer:

in so in Newton motor out put is rate

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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Answer:

-6

Step-by-step explanation:

-b + c

-(-14) + (-20)

14 – 20

= –6

Answer:

-6

Step-by-step explanation:

-(-14) + (-20)

14 + (-20)

= -6

we have that

Answer:

AC,BC,AB

Step-by-step explanation:

CORRECT ME IF ME WRONG

Answer:

x1 = t, x2 = -t and x3 = 0

Step-by-step explanation:

Given the system of equation

x1 + x2 + x3 = 0 .... 1

x1 + x2 + 9x3 = 0 .... 2

Subtract both equation

x3 - 9x3 = 0

-8x3 = 0

x3 = 0

Substitute x3 = 0 into equation 1

x1 + x2 + 0 = 0

x1+x2 = 0

x1 = -x2

Let t = x1

t = -x2

x2 = -t

Hence x1 = t, x2 = -t and x3 = 0

The probability that a person who tests positive actually has the disease is 0.006%

From the question, we have the following parameters that can be used in our computation:

The probability that a person who tests positive actually has the disease is represented as

Probability = Incidence rate * False positive rate

Substitute the known values in the above equation, so, we have the following representation

Probability = 0.3% * 2%

Evaluate the products

Probability = 0.006%

Hence, the probability is 0.006%

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There is insufficient evidence to say that the population proportion has decreased from 28%.

"Information available from the question"

In the question:

The significance level, α =.01

The sample size, n = 1122

The number of success, x = 291

What are the null and alternative hypotheses?

Now, According to the question;

Let's know:

Significance Level:

The significance level is the area of the rejection region in the hypothesis test. The larger the significance level, the easier is to reject the null hypothesis. The most common significance level used is 5% but in cases where high precision is required significance level is reduced.

\(H_0\) : p \(\geq\) 0.28

\(H_\alpha\) : p < 0.28

The significance level, α =.01

The sample size, n = 1122

The number of success, x = 291

So,

The sample proportion:

p(cap) = x/ n

          = 291/1122

         =  0.2594

Test Statistics:

z = \(\frac{p_c_a_p - p }{\sqrt{p\frac{(1-p)}{n} } }\)

z = \(\frac{0.2594 - 0.28}{\sqrt{0.28\frac{(1-0.28)}{1122} } }\)

z = -0.0206/0.0003396

z = -0.2591

Decision rule:

Reject the null if,

p- value \(\leq\) \(\alpha\)

We can use a z-distribution table, an online tool, or the following excel command to calculate the p-value using excel.

p - value = P(z <  -0.2591)

              = 0.79635

p - value ≈ 0.79635 > \(\alpha\) = 0.01

Fail to reject the null.

Conclusion:

There is insufficient evidence to say that the population proportion has decreased from 28%.

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Answer:

1)

Step-by-step explanation:

1 is the answer

I believe

Answer:

.34, 45, 13/25 im pretty sure

Step-by-step explanation:

Answer:

1 cause its going to be one sometimes

Answer:

x = 9

Step-by-step explanation:

1+1 = x - 7

2 = x - 7

Add 7 to both sides to isolate the x:

2 + 7 = x - 7 + 7

9 = x

Hope this helps!

The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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Answer:

The signficance level is 0.05 and then based in the alternative hypothesis we can find a critical value who accumulates 0.05 of the area in the normal standard curve in the left and we got:

\( z_{\alpha/2}= -1.64\)

Step-by-step explanation:

\(n=8\) the same size given

[te]\sigma\) the population deviation is known

For this case we want to test if the population mean is less than 15 and that represent the alternative hypothesis and the complement would be the null hypothesis. So then the system of hypothesis are:

Null hypothesis: \(\mu \geq 15\)

Alternative hypothesis:  \(\mu <15\)

The signficance level is 0.05 and then based in the alternative hypothesis we can find a critical value who accumulates 0.05 of the area in the normal standard curve in the left and we got:

\( z_{\alpha/2}= -1.64\)

Explanation:

a) Cost of ice cream = $3

Total charge of ice cream with toppings = $3 + 50 cent (per toppings)

50 cent = $0.50

let the number of toppings = t

And the total cost = C

C = $3 + $0.5(t)

The equation that represent the total cost (C) of an ice cream base on the ounce of

toppings (t):

C = 3 + 0.5(t)

b) 3 ounces of toppings: t = 3

Answer:

5

Step-by-step explanation:

Divide 5/6 by 1/6 to get 5 as your answer.

Answer:

your answer will be a= 23.2

Step-by-step explanation:

hope this helps u have a great day ^_^

Answer:

A= 23.2

Step-by-step explanation:

\(a^2=b^2+c^2-2bc CosA\)

\(a^2=11^2+19^2-2(11)(19)Cos 98\)

\(a^2=121+361-418cos98\)

\(a^2=121+361-(-58.17)\)

\(\sqrt{a^2} =\sqrt{540.17}\)

\(a=23.2\)

\(-----------\)

hope it helps..

have a great day!!