Find the values of a b and c in the table

Answer:

These are all right answers, just pick the one that matches an answer choice

n^2 * (n-1)/3

(n^3-n^2)/3

((n-1)n^2)/3

Step-by-step explanation:

The general area for a square pyramid is base * height/3

Since we know the edge is n units, we can subsitute the base for:

n*n = n^2 = b

The height is n-1, so lets plug that into the formula too:

n^2 * (n-1)/3

Its a bit hard to tell what the answer choices are, since your formatting is a bit strange, So in the answer section, I will list a couple of different expressions that are all equal, so that I get the right answer choice included.

Answer:

-17.85

Step-by-step explanation:

=> y-x+z

Putting y = 4, x = 22 and z = 0.15

=> 4-22+0.15

=> -18+0.15

=> -17.85

Answer:

the answer is -17.85

Step-by-step explanation:

to find the answer first substitute x, y and z by the numbers 22, 4 and 0.15 respectively.

y-x+z

4-22+0.15

-18+0.15=-17.85

Answer:

(-1,9)

Step-by-step explanation:

y=-3x + 6

y= 9

Set the two equations equal

-3x + 6 = 9

Subtract 6 from each side

-3x+6-6 = 9-6

-3x =3

Divide by -3

-3x/-3 = 3/-3

x =-1

y = 9

(-1,9)

The solution to the system of equations is (-1, 9). Therefore, option C is the correct answer.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=-3x+6 ----(i) and y=9 ----(ii).

From equation (i) and (ii), we get

9=-3x+6

-3x=3

x=-1

Substitute x=-1 in equation (i), we get

y=-3(-1)+6

y=3+6

y=9

So, the solution is (-1, 9)

Therefore, option C is the correct answer.

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Answer:

1) Null hypothesis:[tex]p \geq 0.4[/tex]  

Alternative hypothesis:[tex]p < 0.4[/tex]  

2) [tex]z=\frac{0.38 -0.4}{\sqrt{\frac{0.4(1-0.4)}{500}}}=-0.913[/tex]  

3) [tex]p_v =P(z<-0.913)=0.1806[/tex]  

4) For this case since the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly less than 0.4

a. Fail to reject the null hypothesis

Step-by-step explanation:

Information given

n=500 represent the random sample taken

[tex]\hat p=0.38[/tex] estimated proportion of if the people they are confident of meeting their goals  

[tex]p_o=0.4[/tex] is the value to test

represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Part 1

We want to test if the true proportion is less than 0.4, the system of hypothesis are.:  

Null hypothesis:[tex]p \geq 0.4[/tex]  

Alternative hypothesis:[tex]p < 0.4[/tex]  

a. left-tailed

Part 2

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.38 -0.4}{\sqrt{\frac{0.4(1-0.4)}{500}}}=-0.913[/tex]  

Part 3

The p value for this case can be calculated like this:

[tex]p_v =P(z<-0.913)=0.1806[/tex]  

Part 4

For this case since the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly less than 0.4

a. Fail to reject the null hypothesis

Answer:

The meat production per animal obtained from a non-superior breed pig = 4.8 kg of meat per non superior breed of pig.

Producția de carne pe animal obținută de la un porc de rasă non-superioară = 4,8 kg de carne pe o rasă de porc non-superioară.

Step-by-step explanation:

English Translation

A quarter of the number of pigs on the farm, being of superior breed, bring at the end of the year, on average, a production of 9.6 kg of meat per animal. The production thus obtained represents half of total meat production, Determine the meat production per animal obtained from a non-superior breed pig.

Solution

Let the meat production per animal for the non superior breed of pig be y

Let the total number of pigs be x

A quarter of the pigs are superior breed, 0.25x, bring in 9.6 kg of meat per superior breed of pigs.

Total amount of meat produced by the superior breed of pigs = 0.25x × 9.6 = (3.6x) kg

This means that there are three quarter pigs from the less superior breed, 0.75x, making y kg of meat per animal.

Total amount of meat produced by the non superior breed of pigs = 0.75x × y = 0.75xy kg

Total meat production = (3.6x + 0.75xy) kg

It is then given that the total amount of meat from the superior breed is half of the total meat production.

That is,

3.6x = (3.6x + 0.75xy)/2

7.2x = 3.6x + 0.75xy

7.2x - 3.6x = 0.75xy

3.6x = 0.75xy

y = (3.6/0.75) = 4.8 kg

Hence, the meat production per animal obtained from a non-superior breed pig = 4.8 kg of meat per non superior breed of pig.

In Romanian/In limba romana

Permiteți producția de carne pe animal pentru rasa non superioară de porc

Fie numărul total de porci x

Un sfert din rasa superioară, 0,25x, aduce 9,6 kg de carne pentru fiecare rasă superioară de porci.

Un sfert din porci sunt de rasa superioară, 0,25x, aduc 9,6 kg de carne pe rasă superioară de porci.

Cantitatea totală de carne produsă de rasa superioară de porci = 0,25x × 9,6 = (3,6x) kg

Aceasta înseamnă că există trei sferturi de porci de la rasa mai puțin superioară, 0,75x, ceea ce face y kg de carne pe animal.

Cantitatea totală de carne produsă de rasa non superioară de porci = 0,75x × y = (0,75xy) kg

Producția totală de carne = (3,6x + 0,75xy) kg

Se consideră că cantitatea totală de carne de la rasa superioară este jumătate din producția totală de carne.

Acesta este,

3,6x = (3,6x + 0,75xy) / 2

7,2x = 3,6x + 0,75xy

7,2x - 3,6x = 0,75xy

3,6x = 0,75xy

y = (3,6 / 0,75) = 4,8 kg

Prin urmare, producția de carne pe animal obținută de la un porc de rasă non-superioară = 4,8 kg de carne la o rasă de porc ne superioară.

Hope this Helps!!!

Sper că acest lucru vă ajută!!!

Answer:

1. Peer pressure: Choosing a red and black sweater because those are school colors.

2. Cultural: Wearing a Santa Claus

sweater because Christmas is approaching.

3. Price: Buying a sweater after winter is over because of a clearance sale.

Step-by-step explanation:

Peer pressure is a direct influence from groups or institutions an individual belong to.

Cultural elements relates to the customs, beliefs and behavior of a group of people in a society.

Price is the amount of money paid by an individual or organizations in acquiring goods and services.

Answer:

27 Marbles

Step-by-step explanation:

Alan first had 5 marbles, and then added 4 to the collection.

5 + 4 = 9    

He went to the store and tripled the number of marbles he had.

9 x 3 = 27

Hence, he now has 27 marbles.                                            

Answer: think for yourself

Answer:

This statement would be false.

Step-by-step explanation:

The given equations have slopes that are positive and negative. Therefore, we know that they will intersect at some point because the slopes are not the same. In fact, they intersect at the point (9 3/4, 1 1/2).

I have attached an image of the graph of these two equations for your reference.

Answer:

2.94

Step-by-step explanation:

A = 6a²

6 × .7² = 2.94

.7 × .7 = .49

6 × .7 = 2.94

[tex] a = 6a {}^{2} [/tex]

a is the side

area -6 x 0.7

Answer: 2.5 ft

Step-by-step explanation:

Ok, we know that the catcher is located in the y-axis.

As you know, the y-axis cuts the x-axis at x = 0, so the catcher is located at x = 0.

To see the heigth of the ball at x = 0 we can see the table, where we can see that when x = 0, f(x) = 2.5 ft

Then the correct option is the second one, 2.5 ft.

Answer:

The answer is  A. 2.5

The first option

Step-by-step explanation:

If we look at the question you'll see this phrase "X represents the horizontal distance the ball travels in feet" and "f(x) represents the height of the ball in feet."

The question is "The pitcher releases the ball at the highest point in the curve, and the catcher is located at the y-axis. According to the table, how high is the ball when it reaches the catcher?" the underlined words are your clue.

When the graph hit zero, its hit its mark "The catcher" it REACHES the catcher.

so, alas, the answer is 2.5 ft

Answer:

AP = 14

Step-by-step explanation:

According to secant-secant theorem

(CP)(PD)=(BP)(AP)

7×12=6×AP

AP = 84/6

AP = 14

Answer:

Total cooking time = 20t + 15

The expression 15t + 20 is wrong.

Step-by-step explanation:

weight of chicken = t lbs

cook time per lb = 20 minutes

This means that:

1 lb weight requires a cooking time of 20 minutes

1 lb = 20 minutes

∴ t lbs = 20 × t = 20t minutes.

We were also told that each chicken required an extra cooking time of 15 minutes, in addition to the total cooking time due to the weight. Therefore, the total cooking time is calculated thus:

Total cooking time = cooking time due to weight + 15 minutes

Total cooking time = 20t + 15

Hence the expression 15t + 20 is wrong, due to the explanation given above.

Answer:

hope this helps you

Answer:

14 ft - 8 ft = 6 ft

Step-by-step explanation:

You basically just need to subtract it! :)

Answer: A=286.2 m²

Step-by-step explanation:

The surface area of a cone is [tex]A=\pi r(r+\sqrt{h^2+r^2} )[/tex].

We are given h=11 m and r=5 m. With these values, we can plug them into the equation to find the surface area.

[tex]A=\pi (5)(5+\sqrt{11^2+5^2} )[/tex]

[tex]A=5\pi (5+\sqrt{146} )\\[/tex]

[tex]A= 268.2 m^2[/tex]

Answer:

The cone pictured has a surface area of_268.2___a0 square meters

Step-by-step explanation:

SA of a cone = πr² + πrs

s = slant height

s = √h² +r²

so combined together

SA of a cone = πr² + πr(√h² + r²) = πr(r +√h² + r²)

SA of a cone = 3.14*5(5+[tex]\sqrt{11^{2}+ 5^{2} }[/tex] ) =268.2038

We know that imaginary roots always come in pairs, so we already know 4 solutions

-2, 2, 4 + i and a pair of 4 + i

Since imaginary roots always come in pairs we wont have more than 2 imaginary roots, since its a fifth degree root and we can only have 5 roots

So for sure, we will have 3 real roots and 2 imaginary roots

Last option, f(x) has three real roots and two imaginary roots

Answer: ITS D (f(x) has three real roots and two imaginary roots)

Answer:

5 filters

Step-by-step explanation:

1 filter = 1 million remain

2 filter =100,000 remain

3 filter =10,000 remain

4 filter =1,000 remain

5 filter  = 100 remain which is below to 500

To reduce the pollutant to below 500 particles per gallon, the water would need to be filtered through 13 filters.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Let's first define a variable, p, to represent the number of filters. We can then say that the number of particles remaining in the water after the first filter is applied is 0.9 x 10,000,000 = 9,000,000 particles per gallon.

After the second filter is applied, the number of particles remaining is 0.9 x 9,000,000 = 8,100,000 particles per gallon, and so on.

This equation would be [tex]0.9^p \times 10,000,000[/tex]. We want to find the smallest value of p that makes this expression less than 500.

We can solve this by setting the expression equal to 500 and solving for p. This gives us the equation [tex]0.9^p \times 10,000,000=500[/tex].

Solving for p, we get p = log(500/10,000,000) / log(0.9), which is approximately 12.39.

Since we can only use a whole number of filters,

Thus, we would need to use 13 filters to reduce the pollutant to below 500 particles per gallon.

Learn more about Expressions here :

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Answer:

v1 = 1

Step-by-step explanation:

Solve for v1:

3 v1 - 3 = 0

Add 3 to both sides:

3 v1 + (3 - 3) = 3

3 - 3 = 0:

3 v1 = 3

Divide both sides of 3 v1 = 3 by 3:

(3 v1)/3 = 3/3

3/3 = 1:

v1 = 3/3

3/3 = 1:

Answer: v1 = 1

Answer:

19.4ft

Step-by-step explanation:

A parallelogram has two sides parallel and equal meaning the top and bottom length are the same;

Meaning if the top is C, the bottom is C.

Similarly the length at the right side equals that on the left;

That means the the left = 60.4ft

Perimeter means distance round

And perimeter =157.6ft

Meaning if we start from the Top, it means:

C+ 60.4ft + C + 60.4ft= 157.6ft

C + C + 60.4ft+ 60.4ft = 157.6ft

2C + 120.8 = 157.6

2C = 157.6 - 120.8

2C= 36.8

C = 36.8/2

C= 19.4ft

You can calculate C from here

Answer:

  see below

Step-by-step explanation:

The point-slope form of the equation of a line is ...

  y -h = m(x -k)

for a line with slope m through point (h, k).

Comparing this to the given equation, you see that ...

  h = -2, m = 1, k = -4

The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.

__

You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.

  y = x +2

This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.

Hey!!!!

Hope it helps.....

Good luck on your assignment

__________________________________________

Answer:

The probability is 0.19.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Odds in favor of a win are given as 19 to 81.

This means that for each 19 + 81 = 100 games played, there are expected to be 19 wins.

Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

Desired outcomes:

19 wins, so D = 19.

Total outcomes:

100 games, so T = 100:

Probability:

[tex]p = \frac{D}{T} = \frac{19}{100} = 0.19[/tex]

The probability is 0.19.

Answer:

576 students choose cheeseburgers

Step-by-step explanation:

Given: In a survey, it was determined that 40% of students preferred pizza, 32% of students preferred cheeseburgers, and 28% of students preferred tacos.

To find: Number of students out of 1800 who choose cheeseburgers

Solution:

Percentage of students who preferred cheeseburgers = 32%

Total number of students = 1800

Number of students out of 1800 who choose cheeseburgers = [tex]\frac{32}{100}(1800)=576[/tex]

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

a) Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1043

p = 14% = 14/100 = 0.14

q = 1 - 0.14 = 0.86

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Therefore, margin of error is 1.96√(0.14)(0.86)/1043

Margin of error = 0.021

b) i) The pollsters are 95% confident that the margin of error contains the true proportion of adults who approve of attempts to clone a human.

c) iv) A 99% confidence interval requires a larger margin of error. In order to increase confidence, the interval must be wider.

d) The z score for 99% confidence interval is 2.58

margin of error is 2.58√(0.14)(0.86)/1043

Margin of error = 0.028

e) smaller samples would produce smaller margins of error.

Answer:

Perimeter= 176

Step-by-step explanation:

If one length is 32, then the length parallel to it, is also 32. Meaning the side lengths altogether equal 64. The width, is 56, so then the width parallel to it is also 56. This means the width of each equals 112 altogether.

64+112=176.

P= 176 feet

Hey!!!!

Here's your answer

Solution:

Length(l)=32 feet

Breadth(b)=56 feet

Now,

Perimeter of rectangle=2(l+b)

=2(32+56)

=2*88

=176

So the right answer is 176 feet

Hope it helps ...

Good luck on your assignment

Answer:

15 possible outcomes

Step-by-step explanation:

Given;

A frozen yogurt shop offers scoops in cake cone, waffle cones, or cups.

N1 = 3 possible options

You can get vanilla, chocolate, strawberry, pistachio, or coffee flavored frozen yogurt.

N2 = 5 possible options

The total number of possible outcomes in the sample space when you order a scoop of yogurt is the product of the available options;

N = N1 × N2 = 3 × 5

N = 15 possible outcomes

Answer:

A. too much

Step-by-step explanation:

If we are only looking for how much water she drinks, we do not need to know the amount of hay or the amount of fruit

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval [tex](x_{s}, x_{f})[/tex] will be given by the following equation:

[tex]S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}[/tex]

In this problem, we have that:

[tex]B(t) = 1000(1.02)^{t}[/tex]

Find the average rate of change in the balance over the interval t = 0 to t = 5.

[tex]B(0) = 1000(1.02)^{0} = 1000[/tex]

[tex]B(5) = 1000(1.02)^{5} = 1104.08[/tex]

Then

[tex]S = \frac{1104.08 - 1000}{5-0} = 20.82[/tex]

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Answer:

(7÷2)-(4.5*3)+8

(3.5)-(13.5)+8

3.5-5.5=-2