Please answer this correctly

Answer:

The total percentage increase in the country's population over the three year period is 7.6%.

Step-by-step explanation:

Let x be the original population of a country.

It is provided that the population increased by 3%, 2.6%, and 1.8% in three successive years.

Compute the population of the country after three years as follows:

[tex]\text{New Population}=\text{Origibal Population}\times I_{1}\%\times I_{2}\%\times I_{3}\%[/tex]

                         [tex]=x\times [1+\frac{3}{100}]\times [1+\frac{2.6}{100}]\times [1+\frac{1.8}{100}]\\\\=x\times 1.03\times 1.026\times 1.018\\\\=1.07580204\cdot x\\\\\approx 1.076\cdot x[/tex]

The new population after three years is 1.076 x.

Compute the total percentage increase in the country's population over the three year period as follows:

[tex]\text{Total Increase}\%=\frac{\text{New Population}\ -\ \text{Original Population}}{\text{Original Population}}\times 100[/tex]

                         [tex]=\frac{1.076x-x}{x}\times 100\\\\=0.076\times 100\\\\=7.6\%[/tex]

Thus, the total percentage increase in the country's population over the three year period is 7.6%.

Answer:

28x - 23y - 21z = 3  

Step-by-step explanation:

First, we need to find two vectors in the plane as:

vector PQ = Q - P = (1, 2, -1) - (-2, 2, -5) = (3, 0, 4)

vector PR = R - P = (-1, -5, 4) - (-2 ,2 ,-5) = (1, -7, 9)

Then, we need to find a normal vector to the plane as:

PQ x RQ = ((0*9)-(4*-7), -(3*(9)-(4*1), (3*-7)-(0*1))

PQ x RQ = (28, -23, -21)

Finally, the equation of a plane is:

A(x-x0) + B(y-y0) + C(z-z0) = 0

Where (A,B,C) is a normal vector to the plane and (x0, y0, z0) is a point in the plane. So, replacing (A,B,C) by (28, -23, -21) and (x0, y0, z0) by P0(-2,2,-5), we can write the equation of the plane as:

28(x+2) - 23(y-2) - 21(z+5) = 0

Solving, we get:

28x + 56 - 23y + 46 - 21z - 105 = 0

28x - 23y - 21z - 3 = 0

28x - 23y - 21z = 3  

Answer:

-10

Step-by-step explanation:

5(12 + x) = 10

60 + 5x = 10

5x = -50

x = -10

Answer:

$24

Step-by-step explanation:

2/5 — dress

3/5 — remainder

1/2 of remainder = 1/2 × 3/5 = 3/10 — doll

rewrite fraction spent on dress: 4/10

dress - doll = $8

4/10 - 3/10 = 1/10

1/10 = $8

fraction of money left = 10/10 - 4/10 - 3/10

= 3/10

amount of money left = $8 × 3

$24

Answer:

2/5

Step-by-step explanation:

There are 20 fish, 8 of which are small and blue.  Therefore, the probability of randomly selecting a small blue fish is 8/20 = 2/5.

Answer:

(a)

[tex]\left[\begin{array}{ccc}110\\4\\20\\2\end{array}\right] x+\left[\begin{array}{ccc}130\\3\\18\\5\end{array}\right] y=\left[\begin{array}{ccc}295\\9\\48\\8\end{array}\right][/tex]

(b)

[tex]\left[\begin{array}{ccc}110&130&295\\4&3&9\\20&18&48\\2&5&8\end{array}\right][/tex]

1.5 servings of cheerios and 1 serving of Quaker 100% natural cereal will give the desired mixture.

Step-by-step explanation:

Given the mixture of cereals below:

[tex]\left|\begin{array}{c|c|c}&$General Mills &$Quaker \\$Nutrient&$Cherrios &100\% $Natural Cereal\\----&---&---\\$Calories&110&130\\$Protein (g)&4&3\\$Carbhydrate (g)&20&18\\$Fat (g)&2&5\end{array}\right|[/tex]

Suppose a mixture of these two portions of cereals is to be prepared that contain exactly 295 calories, 9 g of protein, 48 g of carbohydrate, and 8 g of fat.

(a)Let x be the number of servings of Cheerios

Let y be the number of servings of Natural Cereal

From the table above, we have

[tex]110x+130y=295\\4x+3y=9\\20x+18y=48\\2x+5y=8[/tex]

Then a vector equation for this problem is:

[tex]\left[\begin{array}{ccc}110\\4\\20\\2\end{array}\right] x+\left[\begin{array}{ccc}130\\3\\18\\5\end{array}\right] y=\left[\begin{array}{ccc}295\\9\\48\\8\end{array}\right][/tex]

(b) Next, we obtain an equivalent matrix equation of the data

[tex]\left[\begin{array}{ccc}110&130\\4&3\\20&18\\2&5\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}295\\9\\48\\8\end{array}\right][/tex]

This is of the form AX=B. To solve for X we, therefore have an equivalence matrix:

[tex]\left[\begin{array}{ccc}110&130&295\\4&3&9\\20&18&48\\2&5&8\end{array}\right][/tex]

Next, we row reduce the matrix using a calculator to obtain the matrix:

[tex]\left[\begin{array}{ccc}1&0&1.5\\0&1&1\\0&0&0\\0&0&0\end{array}\right][/tex]

Therefore:

1x+0=1.5

0x+y=1

x=1.5 and y=1

To get the required mixture, we use 1.5 servings of cheerios and 1 serving of Quaker 100% natural cereal.

Answer:

d. Two sample t procedure for two means.

Step-by-step explanation:

The study have a treatment group, which is the group of women that are taking the high dose of green tea extract, and a control group, in order to compare. They are assigned randomly to each group.

Then, the difference fo the two sample means is calculated and a t-test is performed in order to conclude if the two populations means are significantly different.

Apparently they are significantly different, as this is the conclusion with a P-value of 0.025.

Answer:

(a)

(b)Discrete

(c)Ratio Scale and Discrete Variable

(d) Experimental Method

Step-by-step explanation:

The psychologist wants to evaluate the claim that omega-3 fatty acids can help improve memory in normal adult humans.

(a)In the study, the participants in the two groups were given fish extracts containing Omega-3 (500 mg) and no Omega-3 (0 mg).

The memory test involves measuring the number of items each participant remembers from the past three weeks of news.

Therefore:

(b) The dependent variable is discrete since the number of news items remembered can only be whole numbers.

(c)The independent variable is in milligrams of Omega-3 where the placebo is 0 mg. This is a ratio scale since it has an absolute zero.

Since the dosage is given in multiples of 50mg, it is a discrete variable.

(d)Since the psychologist seeks to manipulate the conditions of the study by introducing Omega-3 to some of the participants and placebo to other participants, it is an experimental distribution.

Answer:

y=1

Step-by-step explanation:

7-y=6

6+1=7

7-1=6

Hope this helps:)

Stay Safe

Answer:

y =1

Step-by-step explanation:

7 - y = 6

Subtract 7 from each side

7 - y-7 = 6 -7

-y = -1

Multiply each side by -1

-y*-1 = -1 *-1

y = 1

Answer:

r = l / π/180× θ

11.6 cm

Step-by-step explanation:

l = π/180 × r × θ

r = l / π/180× θ

r = 12.5 / π/180× 62

r = 11.55156845

Answer:

100

Step-by-step explanation:

4 tens +  6 tens = 10 tens = 10*10 = 100

Answer:

3.3

Step-by-step explanation:

18x-5x=13+20

13x=33

x=2.5

Answer:

[tex] z=\frac{3.43 -3.46}{\frac{0.15}{\sqrt{30}}} = -1.095[/tex]

[tex] z=\frac{3.49 -3.46}{\frac{0.15}{\sqrt{30}}} = 1.095[/tex]

And we can find this probability using the normal standard table and we got:

[tex] P(-1.095<z<1.095) = P(z<1.095) -P(z<-1.095) =0.863 -0.137= 0.726[/tex]

Step-by-step explanation:

Let X the random variable that represent the price of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(3.46,0.15)[/tex]  

Where [tex]\mu=3.46[/tex] and [tex]\sigma=0.15[/tex]

And for this case we want to find the following probability:

[tex] P(3.43 \leq \bar X \leq 3.49)[/tex]

And we can use the z score formula given by:

[tex] z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

If we find the z score for the limits we got:

[tex] z=\frac{3.43 -3.46}{\frac{0.15}{\sqrt{30}}} = -1.095[/tex]

[tex] z=\frac{3.49 -3.46}{\frac{0.15}{\sqrt{30}}} = 1.095[/tex]

And we can find this probability using the normal standard table and we got:

[tex] P(-1.095<z<1.095) = P(z<1.095) -P(z<-1.095) =0.863 -0.137= 0.726[/tex]

Answer:

by using the quadratic formula

Step-by-step explanation:

negative b plus or minus the square root of b squared minus 4ac, then all divided by 2a

Answer:

Below

Step-by-step explanation:

8,8,6,9,8,3,12,9,3,12,5,0,4,8,5,11,5,8. Answers are in order from the first to the last

Answer:

(0.0706, 0.1294)

Step-by-step explanation:

Confidence interval of a proportion is:

CI = p ± CV × SE

where p is the proportion,

CV is the critical value (z score or t score),

and SE is the standard error.

The sample is large enough to estimate as normal.  For 95% confidence level, CV = z = 1.96.

Standard error for a proportion is:

SE = √(pq/n)

SE = √(0.1 × 0.9 / 400)

SE = 0.015

The confidence interval is:

CI = 0.1 ± (1.96)(0.015)

CI = (0.0706, 0.1294)

Round as needed.

Answer:

i don't know if this is right or not i did to much work to put it all down but i pretty sure it's C.

Answer:

1/5

Step-by-step explanation:

i had a similar question

For each roll you start with paying 2 dollars and you only with 10 dollars one out of 6 rolls (on average). 

So the cost for one play is 2 dollars and your win is 10/6. 

Value is -2+10/6=-1/3 dollars

So you lose 1/3 dollars on average with each game

since you have no limited rolls u put 1/5

this from another question but both same just different numbers

Answer:

Step-by-step explanation: 6z=-2-10

6z= -12

z=-12/6

then z= -2

Answer:

The age of the pottery bowl is 12,378.7 years

Step-by-step explanation:

The amount of C-14 after t yeas is given by the following equation:

[tex]N(t) = N(0)e^{-kt}[/tex]

In which N(0) is the initial amount and k is the decay rate.

In this question, we have that:

[tex]k = 0.0001[/tex]

So

[tex]N(t) = N(0)e^{-0.0001t}[/tex]

Age of the pottery bowl:

29% of its original amount of C-14. So we have to find t for which N(t) = 0.29N(0). So

[tex]N(t) = N(0)e^{-0.0001t}[/tex]

[tex]0.29N(0) = N(0)e^{-0.0001t}[/tex]

[tex]e^{-0.0001t} = 0.29[/tex]

[tex]\ln{e^{-0.0001t}} = \ln{0.29}[/tex]

[tex]-0.0001t = \ln{0.29}[/tex]

[tex]t = -\frac{\ln{0.29}}{0.0001}[/tex]

[tex]t = 12378.7[/tex]

The age of the pottery bowl is 12,378.7 years

Note: The first file attached contains the clear and complete question

Answer:

a) The times at which the graph of A(t) has horizontal tangent are t = 1 and t = 7

A(t) has a local maximum at t=7

A(t) has a local minimum at t=1

b) The times at which the graph of D(t) has horizontal tangent are t = 1.59 and t = 7.74

D(t) has a local maximum at t=1.59

D(t) has a local minimum at t=7.74

c) A(t) = (-t^3) + 8(t^2) -21t + 40

d) The water level in vat A is rising most rapidly at t = 4 hrs

e) 138 gallons

f) 18 gallons per hour

g) 98 gallons

Step-by-step explanation:

For clarity and easiness of expression, the calculations are handwritten and attached as files below.

Each step is neatly expressed and solutions to each part of the question are clearly written

Answer:

  yes, they are parallel; the general form equation differs only in the constant.

Step-by-step explanation:

Subtract y from the first equation and multiply by 2.

  y -y = 1/2x -y +3

  0 = x -2y +6

  x -2y +6 = 0 . . . . . put in general form

Compared to the second equation, we see the only difference is in the constant, +6 vs. -8.

This means the lines are parallel.

Answer:

[tex] y(2) = 1400[/tex]

Using this condition we got:

[tex]1400= -300*2 +b[/tex]

And solving for b we got:

[tex] b= 1400+ 600= 2000[/tex]

So then our linear function is given by:

[tex] y = -300x +2000[/tex]

Where y is the amount of fluid left and x the number of hours ellapsing

Step-by-step explanation:

We want to set up a linear function like this one:

[tex]y = mx+b[/tex]

Where y is the amount of fluid left, m the slope and b the initial amount. From the info given we know thatm = -300. And we also have the following condition:

[tex] y(2) = 1400[/tex]

Using this condition we got:

[tex]1400= -300*2 +b[/tex]

And solving for b we got:

[tex] b= 1400+ 600= 2000[/tex]

So then our linear function is given by:

[tex] y = -300x +2000[/tex]

Where y is the amount of fluid left and x the number of hours ellapsing

Answer:

a. An experiment

b. No

Step-by-step explanation:

a. Robin's research method can be concluded to be an experiment because she has a testable group (pots of water with salt) and a control group (pots of water without salt).

2. Based on this alone, she cannot conclude that the salt caused the

difference in temperature because she has not set some appropriate conditions which are to be met for this test.

Answer:

11e+5f

Step-by-step explanation:

Combine like terms:

4e+7e+6f-f

11e+5f

Answer:

11e   +5f

Step-by-step explanation:

4e + 6f + 7e - f​

Combine like terms

4e+7e      +6f-f

11e   +5f

Answer:

since n is an integer you substitute n with all the integers. But since that is too much you should use infinity.

n=[-∞,+∞] where -∞ is a negative infinity which stands for negative numbers and +∞ is a positive infinity where it stands for positive numbers.

an integer contains negative and positive numbers so above is the answer.

Step-by-step explanation:

Answer:

For an overall profit, we need at least 97 people to go mushroom hunting.

Any number of people that is more than the socially optimal number should go mushroom hunting on any given day.

Step-by-step explanation:

The socially optimal number of people that will go mushroom hunting is the number where amount spent to go mushroom hunting equally balances the amount obtained by selling the mushrooms obtained.

If x people go mushroom hunting in a day, the total cost of hunting for that day = 200x

The amount of mushroom obtained is given as

M = (100x - x²) in pounds

The selling price of 1 pound = $60

The cost of M pounds = 60M = 60(100x - x²)

= (6000x - 60x²)

At socially optimal number,

200x = 6000x - 60x²

60x² - 6000x + 200x = 0

60x² - 5800x = 0

x(60x - 5800)

x = 0 or (60x - 5800) = 0

x = 0 or x = (5800/60) = 96.67

Socially optimal number of people = 0 or 96.67

For realistic purposes, we take the socially optimal number of people that went mushroom hunting as 96.67

Any number above this number will result in an overall profit, and any number below it results in an overall loss.

So, for an overall profit, we need at least 97 people to go mushroom hunting.

Hope this Helps!!

Answer:

48 people

Step-by-step explanation:

When allocating resources to a particular task it is important to assign optimal units of resources.

In this scenario if the people hunting mushrooms are too many they will not make profit. But an optimal number will guarantee everyone makes positive profit.

Optimal = (M÷x)Px - 200= 0

Optimal= {(100x -x^2) ÷ x} * 60 = 200

Optimal = 6000 - 60x = 200

x= 96.666~ 97 people

However to maximise profit MTB = MTC

Socially Optimal quantity = 60(100x - x^2) -200

∂(Socially Optimal amount) ÷ ∂ x= 6000 - 120x - 200

x = 48.33~ 48 people

So 48 more people go mushroom hunting than is socially optimal

Answer:

  27x^6y^9

Step-by-step explanation:

The outside exponent multiplies all of the inside exponents. The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

__

  (3x^2y^3) = (3^3)(x^(2·3))(y^(3·3)) = 27x^6y^9