Consider the value of t such that 0.01 of the area under the curve is to the right of t. Assuming the degrees of freedom equals 27, determine the t value. Round your answer to three decimal places.

Answers

Answer 1
To be honest,, I don’t know his but round your answer to three decimal places might get.

….

.01
Answer 2

The t-value that satisfies the condition is t = 2.797 (rounded to three decimal places).

To determine the t-value such that 0.01 of the area under the curve is to the right of it, we need to use a t-distribution table or a statistical software.

The t-distribution is characterized by its degrees of freedom, which in this case is given as 27.

To find the t-value corresponding to an upper tail probability of 0.01, we need to locate the critical value in the t-distribution table.

Since we're looking for the right tail, we want to find the t-value that corresponds to a cumulative probability of 1 - 0.01 = 0.99.

Let's denote this critical value as t(critical).

Using the t-distribution table or a statistical software, we find that the t-value for a cumulative probability of 0.99 with 27 degrees of freedom is approximately 2.797.

Therefore, the t-value that satisfies the condition is t = 2.797 (rounded to three decimal places).

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Related Questions

The total number of vertices adjacent to the vertex is called?

Answers

Answer:

The degree of vertex is the total number of vertices adjacent to the vertex .

The total number of vertices adjacent to the vertex is called degree of the vertex.

What is vertex?

" Vertex is defined as when two adjacent side meet at one point."

According to the question,

The degree of a vertex is always as the total number of adjacent side to the vertex.

If adjacent sides far away from each other degree is more.

If adjacent sides near to each other degree is less.  

Hence, the total number of vertices adjacent to the vertex is called degree of the vertex.

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Karl wants to raise money for charity. He designs a game for people to play.
Karl uses a ten sided dice for the game. The dice is numbered 1 to 10.
Each person will roll the dice once. A person wins the game if the dice lands on a multiple of 4.
Ali plays the game once,
a) Work out the probability that Ali will win the game.
(2 m

Answers

Answer:

0.2 = 20% probability that Ali will win the game.

Step-by-step explanation:

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

Total outcomes:

The 10 sides that the dice can land, which means that [tex]T = 10[/tex]

Desired outcomes:

Sides that are multiple of 4, that is, side 4 and side 8, so [tex]D = 2[/tex]

Work out the probability that Ali will win the game.

[tex]p = \frac{D}{T} = \frac{2}{10} = 0.2[/tex]

0.2 = 20% probability that Ali will win the game.

What is the percent discount if a 12,500 car is now on special for 10,250?

Answers

Answer:

Step-by-step explanation:

the answer is 2250 percent is = 22.5

Answer:

18% discount

Step-by-step explanation:

Percent discount is found by the following formula:

[tex]\frac{original-discount}{original}[/tex]

In this scenario, the original is 12500 and the discount, or special is 10250.

We can plug this into the formula to get

[tex]\frac{12500-10250}{12500}[/tex]

We can simplify the numerator by subtracting, and we get that answer as 2250.

We get the remainder of the answer as 2250 divided by 12500. We divide that, and get the answer as 0.18, which can be rewritten as 18%.

Plan production for the next year. The demand forecast is: spring, 20,600; summer, 9,400; fall, 15,400; winter, 18,400. At the beginning of spring, you have 69 workers and 1,030 units in inventory. The union contract specifies that you may lay off workers only once a year, at the beginning of summer. Also, you may hire new workers only at the end of summer to begin regular work in the fall. The number of workers laid off at the beginning of summer and the number hired at the end of summer should result in planned production levels for summer and fall that equal the demand forecasts for summer and fall, respectively. If demand exceeds supply, use overtime in spring only, which means that backorders could occur in winter. You are given these costs: hiring, $130 per new worker; layoff, $260 per worker laid off; holding, $21 per unit-quarter; backorder cost, $9 per unit; regular time labor, $11 per hour; overtime, $17 per hour. Productivity is 0.5 unit per worker hour, eight hours per day, 50 days per quarter.
Find the total cost of this plan. Note: Hiring expense occurs at beginning of Fall. (Leave no cells blank - be certain to enter "O" wherever required.) Fall 15,400 Winter 18,400 15,400 30,800 77 18,400 36,800 77 Spring Summer Forecast 20,600 9,400 Beginning inventory I 1,030 Production required 9,400 Production hours required 39,140 18,800 Regular workforce 69 47 Regular production Overtime hours Overtime production Total production Ending inventory Ending backorders Workers hired Workers laid off Spring Summer Fall Winter Straight time Overtime Inventory Backorder Hiring Layoff Total Total cost

Answers

why is this so long
Answer: end of summer

the cost of 2 pairs of trousers and 3 shirts is $825 it shirt cost $50 less than the trouser. find the cost of each shirt and trouser

Answers

Answer:

a pair of trousers cost = x = 195 $

one shirt costs = x - 50 = 145 $

Step-by-step explanation:

let the cost of trouser be x.cost of shirt = (x - 50)

2 pairs of trousers cost = 2x 3 shirts cost = 3(x - 50)

= 3x- 150

2 trousers and 3 shirts cost = 825

=> 2x + 3x - 150 = 825

=> 5x = 975

x = 195

a pair of trousers cost = x = 195 $

a pair of trousers cost = x = 195 $ one shirt costs = x - 50 = 145 $

√12 + √10 − √2) is

(a) A positive rational number

(b) Equal to zero

(c) An irrational number

(d) A negative integer

Answers

Hello!

[tex] \bf \sqrt{12} + \sqrt{10} - \sqrt{2} = [/tex]

[tex] \bf \sqrt{ {2}^{2} \times 3} + \sqrt{10} - \sqrt{2} = [/tex]

[tex] \bf \sqrt{ {2}^{2} } \sqrt{ 3} + \sqrt{10} - \sqrt{2} = [/tex]

[tex] \bf \boxed{ 2 \sqrt{3} + \sqrt{10} - \sqrt{2}} [/tex]

Answer: (c) An irrational number

Good luck! :)

find the differential equation of this function and indicate the order y = e^3x (acos3x +bsin3x)​

Answers

Answer:

y"-6y'+18y=0

Second order

Step-by-step explanation:

Since there are 2 constants, the order of the differential equation will be 2. This means we will need to differentiate twice.

y = e^(3x) (acos3x +bsin3x)​

y'=3e^(3x) (acos3x+bsin3x)

+e^(3x) (-3asin3x+3bcos3x)

Simplifying a bit by reordering and regrouping:

y'=e^(3x) cos3x (3a+3b)+e^(3x) sin3x (3b-3a)

y"=

3e^(3x) cos3x (3a+3b)+-3e^(3x) sin(3x) (3a+3b)

+3e^(3x) sin3x (3b-3a)+3e^(3x) cos(3x) (3b-3a)

Simplifying a bit by reordering and regrouping:

y"=

e^(3x) cos3x (9a+9b+9b-9a)

+e^(3x) sin3x (-9a-9b+9b-9a)

Combining like terms:

y"=

e^(3x) cos3x (18b)

+e^(3x) sin3x (-18a)

Let's reorder y like we did y' and y".

y = e^(3x) (acos3x +bsin3x)

y=e^(3x) cos3x (a) + e^(3x) sin3x (b)

Objective is to find a way to combine or combine constant multiples of y, y', and y" so that a and b are not appearing.

Let's start with the highest order derivative and work down

y"=

e^(3x) cos3x (18b)

+e^(3x) sin3x (-18a)

We need to get rid of the 18b and 18a.

This is what we had for y':

y'=e^(3x) cos3x (3a+3b)+e^(3x) sin3x (3b-3a)

Multiplying this by -6 would get rid of the 18b and 18a in y" if we add them.

So we have y"-6y'=

e^(3x) cos3x (-18a)+e^(3x) sin3x (-18b)

Now multiplying

y=e^(3x) cos3x (a) + e^(3x) sin3x (b)

by 18 and then adding that result to the y"-6y' will eliminate the -18a and -18b

y"-6y'+18y=0

Also the characteristic equation is:

r^2-6r+18=0

This can be solved with completing square or quadratic formula.

I will do completing the square:

r^2-6r+18=0

Subtract 9 on both sides:

r^2-6r+9=-9

Factor left side:

(r-3)^2=-9

Take square root of both sides:

r-3=-3i or r-3=3i

Add 3 on both sides for each:

r=3-3i or r=3+3i

This confirms our solution.

Another way to think about the problem:

Any differential equation whose solution winds up in the form y=e^(px) (acos(qx)+bsin(qx)) will be second order and you can go to trying to figure out the quadratic to solve that leads to solution r=p +/- qi

Note: +/- means plus or minus

So we would be looking for a quadratic equation whose solution was r=3 ×/- 3i

Subtracting 3 on both sides gives:

r-3= +/- 3i

Squaring both sides gives:

(r-3)^2=-9

Applying the exponent on the binomial gives:

r^2-6r+9=-9

Adding 9 on both sides gives:

r^2-6r+18=0

Hi can someone answer this question please thank you

Answers

Answer:

25

Step-by-step explanation:

5:20  

We want to get the second number to 100

100/20 = 5

Multiply each term by 5

5*5 : 20*5

25 : 100

x is 25

Given that,

→ 5 : 20 :: x : 100

Then we have to,

find the second number to 100.

→ 100/20

→ 5

Now multiply each term by 5 in 5:20,

→ 5 × 5 : 20 × 5

→ 25 : 100

→ x = 25

Now these ratio will be,

→ 5 : 20 :: 25 : 100

Hence, the value of x is 25.

Question 14 please show ALL STEPS

Answers

Answer:  

List of possible integral roots = 1, -1, 2, -2, 3, -3, 6, -6

List of corresponding remainders = 0, -16, -4, 0, 0, 96, 600, 1764

Check out the table below for a more organized way to represent the answer. The x values are the possible roots while the P(x) values are the corresponding remainders.

====================================================

Explanation:

We'll use the rational root theorem. This says that the factors of the last term divide over the factors of the first coefficient to get the list of all possible rational roots.

We'll be dividing factors of 6 over factors of 1. We'll do the plus and minus version of each. Since we're dividing over +1 or -1, this means that we're basically just looking at the plus minus of the factors of 6.

Those factors are: 1, -1, 2, -2, 3, -3, 6, -6

This is the list of possible integral roots.

Basically we list 1,2,3,6 with the negative versions of each value thrown in as well.

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

From there, you plug each value into the P(x) function

If we plugged in x = 1, then,

P(x) = x^4 - 3x^3 - 3x^2 + 11x - 6

P(1) = (1)^4 - 3(1)^3 - 3(1)^2 + 11(1) - 6

P(1) = 1 - 3 - 3 + 11 - 6

P(1) = 0

This shows that x = 1 is a root, since we get a remainder 0. Do the same for the other possible rational roots listed above. You should find (through trial and error) that x = -2 and x = 3 are the other two roots.

3.3.C-1
If one tablet of calcium pantothenate contains 0.5 gram, how much is contained in
n 2 1/4 tablets? How many tablets are needed to make up 2.3 grams?

Answers

Reduce the fraction into decimal numbers
Simply divide the top by the bottom of the fraction. If the division has no remainder, the decimal number is called a terminating decimal.
Now start the division process as below


Therefore,

A fraction calcium pantothenate contains 0.5 gram of a tablet 5 tablets to make up 2.3 grams.

To calculate the amount of calcium pantothenate contained in a given number of tablets, use the given information that one tablet contains 0.5 grams.

Amount in n 2 1/4 tablets:

To calculate the amount of calcium pantothenate in n 2 1/4 tablets, we need to calculate the total amount for each part (whole tablets and the fraction of a tablet) and then sum them up.

Amount in n whole tablets: n tablets × 0.5 grams/tablet

Amount in 1/4 tablet: (1/4)× 0.5 grams

So, the total amount in n 2 1/4 tablets would be:

Total amount = n ×0.5 + (1/4) ×0.5 grams

Tablets needed to make up 2.3 grams:

To calculate the number of tablets needed to make up 2.3 grams of calcium pantothenate, set up a proportion using the given tablet amount (0.5 grams/tablet).

Let x be the number of tablets needed.

0.5 grams/tablet = 2.3 grams / x tablets

Cross-multiply:

0.5 × x = 2.3

x = 2.3 / 0.5

x = 4.6

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Can anyone help with problem 5?

Answers

Answer:

Other leg: 25 cm

Hypotenuse: 25√2 cm

Step-by-step explanation:

Hi there!

We are given a 45°-45°-90° triangle, and one leg (a side that makes up the right triangle) measures 25 cm

We want to find the length of the other sides

First, let's find the length of the other leg

A 45°-45°90° triangle is actually an isosceles triangle, and if it was to be drawn, the base angles are 45 and 45 degrees

That means the legs of the right triangle are actually the legs in the isosceles triangle as well

So the other leg is also 25 cm

Now, let's find the length of the hypotenuse, which is the side OPPOSITE from the 90° angle

You can solve for the other side using Pythagorean Theorem if you wish, however, there is a shortcut to finding the hypotenuse

In a 45°-45°-90° triangle, if the length of the legs are a, then the hypotenuse is a√2 cm

So that means the length of the hypotenuse in this case is 25√2 cm

Hope this helps!

Avery made 6 litres of hot chocolate for the 4th annual bonfire with his family. If
each cup holds of a litre of liquid, how many cups can Avery fill?

Answers

Answer:

Avery can hold 6 cups

Step-by-step explanation:

so you have a 6 litre of hot chocolate and for every cup you remove 1 litre of hot chocolate wich makes you get 6 cups of hot chocolate

please help, it’s urgent !!!

Answers

Answer:

1. purple graph

2. orange graph

3. green graph

4. blue graph

mmmmmmmm ur mom!!’my moma a mild

A sofa is on sale for $703, which is 26% less than the regular price what is the regular price?

Answers

Answer:

$950

Step-by-step explanation:

26% less than the regular price = 74%

set up the dimensions as:

part/whole = part/whole

$703 goes in part 74% goes in part

703/? = 74%/100%

Then multiply 100 by 703

100 x 703 = 70300

Finally divided by 74

70300 divided by 74 = 950

••••••••••••••••••••••••••••••••••••

The regular price = $950

703/950 = 74%/100%

Of the delegates at a convention, 60% attended the breakfast forum, 70% attended the dinner speech and 40% attended both events. If a randomly selected delegate is known to have attended the dinner speech, the probability that he also attended the breakfast forum is

Answers

Answer:

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Attended the dinner speech.

Event B: Attended the breakfast forum.

70% attended the dinner speech

This means that [tex]P(A) = 0.7[/tex]

40% attended both events.

This means that [tex]P(A \cap B) = 0.4[/tex]

The probability that he also attended the breakfast forum is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714[/tex]

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

how many itegers from 15 to 85, inclusive are multibles of 8

Answers

Answer:

9 multiples

Step-by-step explanation:

16,24,32,40,48,56,64,72,80

9

What's the equivalent expression.
(2-7. 5)² =?

Answers

Answer:

The Answer of the above question is 30.25

Step-by-step explanation:

Hope it helps you.

Answer: 30.25


Step 1: Rewrite equation

To start off, I find it helpful to rewrite the equation. This will give you a better understanding of the problem. Let’s do this now.

(2-7.5)²

Step 2: Understand PEMDAS

Now that we have written down the equation, let’s solve using PEMDAS. In case you are unfamiliar, I will write down what each letter stands for. Keep in mind that the letters go in the order you need to solve.

P- Parentheses
E- Exponent
M- Multiplication
D- Division
A- Addition
S- Subtraction

Step 3: Solve

Finally, we can solve the equation. Using the knowledge from step 2, we will be able to solve in the correct order. Let’s start with parentheses, and find the answer for 2-7.5.

(2-7.5)²
-5.5²

Now let’s move on to the next letter and solve using the exponent. We will multiply -5.5 by itself. This will be the final step; although there are other letters in PEMDAS, the equation will end after this step since we will already have the answer.

-5.5²
30.25


Hope this helps! Comment below for more questions.

Use calculus to find the absolute maximum and minimum values of the function. f(x) = 5x − 10 cos(x), −2 ≤ x ≤ 0 (a) Use a graph to find the absolute maximum and minimum values of the function to two decimal places.

Answers

Answer:

gkg8fyaueajrkvxogogzoggkdggkdyyskyyeykektkykyksskysysskkyky

Answer:

The absolute maximum is about -5.84 at x = -2.

And the absolute minimum is about -11.28 at x = -π/6.

Step-by-step explanation:

We want to find the absolute maximum and minimum values of the function:

[tex]\displaystyle f(x) = 5x-10\cos x\text{ for } -2\leq x\leq 0[/tex]

First, we should evaluate the endpoints of the interval:

[tex]\displaystyle f(-2) = 5(-2) - 10\cos (-2) \approx -5.8385[/tex]

And:

[tex]f(0) = 5(0) -10\cos (0) = -10[/tex]

Recall that extrema of a function occurs at its critical points. The critical points of a function are whenever its derivative is zero or undefined.

So, find the derivative of the function:

[tex]\displaystyle f'(x) = \frac{d}{dx}\left[ 5x - 10\cos x\right][/tex]

Differentiate:

[tex]\displaystyle f'(x) = 5 + 10\sin x[/tex]

Set the function equal to zero:

[tex]\displaystyle 0 = 5+10\sin x[/tex]

And solve for x:

[tex]\displaystyle \sin x = -\frac{1}{2}[/tex]

Using the unit circle, our solutions are:

[tex]\displaystyle x = \frac{7\pi}{6} + 2n\pi\text{ or } \frac{11\pi}{6} + 2n\pi \text{ where } n\in \mathbb{Z}[/tex]

There is only one solution in the interval [-2, 0]:

[tex]\displaystyle x = \frac{11\pi}{6} - 2\pi = -\frac{\pi}{6}\approx -0.5236[/tex]

Thus, we only have one critical point on the interval.

Substituting this back into the function yields:

[tex]\displaystyle\begin{aligned} f\left(-\frac{\pi}{6}\right) &= 5\left(-\frac{\pi}{6}\right) - 10\cos \left(-\frac{\pi}{6}\right) \\ \\ &=-\frac{5\pi}{6} - 5\sqrt{3}\\ \\ &\approx -11.2782 \end{aligned}[/tex]

In conclusion, the absolute maximum value of f on the interval [-2, 0] is about -5.8385 at x = -2 and the absolute minimum value of f is about -11.2782 at x = -π/6.

We can see this from the graph below as well.

How far will fiona jog (in feet)

Answers

Answer:

1780 ft

Step-by-step explanation:

We need to find the perimeter of the rectangle, given by

P= 2(l+w)  where l is the length and w is the width

The units need to be the same

Change 230 yds to ft

230 yd * 3 ft/ y = 690 ft

P = 2(690+200)

P = 2(890)

P =1780

Plsss HELP!!!
*image included

Answers

I’m so sorry I’ll work that out and give u the real answer

If Bob gains 15 pounds, then the ratio of Bob's weight to Tom's weight would be 7 to 5. If Tom weighs 115 pounds, what is Bobs weight now?

Answers

Answer:

Step-by-step explana:

-115/5= 23

-23x7=16 1

-161-15=146

Answer:

146 pounds.

Step-by-step explanation:

7 : 5 = 12

? : 115 = ?

115 / 5 = 23

23 x 7 = 161

161  - 15 = 146

The answer is 146.

The terminal side of θ passes through the point (8,−7).

What is the exact value of cosθ in simplified form?

Answers

Answer:

8√113 / 113

Step-by-step explanation:

Representing the information on a triangle :

From trigonometry :

Cos θ = Adjacent / hypotenus = AC / AB

AB = hypotenus :

Using Pythagoras :

AB² = AC² + BC²

AB² = 8² + (-7)²

AB² = 64 + 49

AB = √113

Cos θ = AC / AB = 8 / √113

RATIONALIZE :

8/√113 * √113/√113 = 8√113 / 113

the vertex of this parabola is at (2,-4). when the y-value us -3, the x-value is -3. what is the coefficient of the squared term in the parabolas equation?​

Answers

Answer:

The coefficient of the squared term is 1/25.

Step-by-step explanation:

We are given that the vertex of a parabola is at (2, -4). We also know that y = -3 when x = -3.

And we want to determine the coefficient of the squared term of the equation.

Since we are given the vertex, we can use the vertex form of the quadratic:

[tex]\displaystyle y = a(x-h)^2+k[/tex]

Where (h, k) is the vertex and a is the leading coefficient. The leading coefficient is also the coefficient of the squared term, so we simply need to find the value of a.

Since the vertex is at (2, -4), h = 2 and k = -4. Substitute:

[tex]\displaystyle y = a(x-2)^2-4[/tex]

y = -3 when x = -3. Solve for a:

[tex]\displaystyle (-3) = a((-3)-2)^2-4[/tex]

Simplify:

[tex]\displaystyle 1 = a(-5)^2\Rightarrow a = \frac{1}{25}[/tex]

Therefore, our function in vertex form is:

[tex]\displaystyle f(x) = \frac{1}{25}\left(x-2)^2-4[/tex]

Hence, the coefficient of the squared term is 1/25.

Answer:

-5

Step-by-step explanation:

from a p e x

Rewrite the following expanded notation in standard form. 600,000 + 80,000 + 1,000 + 400 + 70 + 5

Answers

Answer:

this is the answer

681,474

the answer is 681,475

An experiment to investigate the survival time in hours of an electronic component consists of placing the parts in a test cell and running them under elevated temperature conditions. Six samples were tested with the following resulting failure times (in hours): 34, 40, 46, 49, 61, 64. (a)Calculate the sample mean and sample standard deviation of the failure time. (b)Determine the range of the true mean at 90% confidence level. (c)If a seventh sample is tested, what is the prediction interval (90% confidence level) of its failure time

Answers

Answer:

a) The sample mean is of 49 and the sample standard deviation is of 11.7.

b) The range of the true mean at 90% confidence level is of 9.62 hours.

c) The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.

Step-by-step explanation:

Question a:

Sample mean:

[tex]\overline{x} = \frac{34+40+46+49+61+64}{6} = 49[/tex]

Sample standard deviation:

[tex]s = sqrt{\frac{(34-49)^2+(40-49)^2+(46-49)^2+(49-49)^2+(61-49)^2+(64-49)^2}{5}} = 11.7[/tex]

The sample mean is of 49 and the sample standard deviation is of 11.7.

b)Determine the range of the true mean at 90% confidence level.

We have to find the margin of error of the confidence interval. Since we have the standard deviation for the sample, the t-distribution is used.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.0.150

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample. So

[tex]M = 2.0150\frac{11.7}{\sqrt{6}} = 9.62[/tex]

The range of the true mean at 90% confidence level is of 9.62 hours.

(c)If a seventh sample is tested, what is the prediction interval (90% confidence level) of its failure time.

This is the confidence interval, so:

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 9.62 = 39.38 hours.

The upper end of the interval is the sample mean added to M. So it is 49 + 9.62 = 58.62 hours.

The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.

Classify the following triangle 120 degrees
options
a. acute
b.Scalene
c.isosceles
d.obtuse
e.right
f. equilateral

Answers

Answer:

I think it is Obtuse.

Step-by-step explanation:

120 Degrees - Obtuse

for every 5 people who bought $9.75 tickets to the football game, 3 people bought $14.50 tickets. If each of 35 people bought a $9.75 ticket, how many people bought the more expensive ticket?

Answers

9514 1404 393

Answer:

  21

Step-by-step explanation:

The number who bought expensive tickets is 3/5 of the number who bought cheap tickets.

  (3/5)(35) = 21

21 people bought the more expensive ticket.

Answer:

21 people

Step-by-step explanation:

       $9.75      $14.50

  5 people to 3 people

 35 people to ? people

consider the proportions: 5/3 = 35/?

we need the equivalent fraction of 5/3 that has 35 on the denominator

so 5/3 = (5/3)(7/7)  because 7/7 =1, and 5*3 =35

5/3 = 5*7/3*7 = 35/21

4. Write the number 3.8 in the form using integers, to show that it is a rational number. 8 11 38 10 10 38 100

Answers

Answer:

38 divided by 10 equals 3.8

Match each equation to its graph.

1. y= x-2
2. y= -2x
3. x= -2
4. y= -2

Answers

1 equation goes with the graph one, 2nd equation goes with 4th graph , 3rd equation goes with 3rd graph, and 4th equation goes with graph graph 2.

If the equation is...

y=c, where c is a constant, the line is horizontal across that c value, on y axis. x=c the line would be vertical across that c, on x axis.

The equation of the graph is : x = -2

What is a graph?

A graph is a pictorial representation of the locus of a certain point.

How to draw a graph?

A graph can be drawn by picking some fixed points from the locus of the point.

Here, the straight line passes through the points are : (-2,1); (-2,2); (-2,-5);(-2,-5).

Hence, the straight line is to be parallel to the x-axis and the equation of the graph is x= -2.

Learn more about graph here :

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This table shows the ratio of number of people to liters of Find the missing values in the ratio table
ginger ale needed.
A=
People
Ginger Ale

Answers

Answer:

A= 2  B= 6

Step-by-step explanation:

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