Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Which best explains Mikayla’s sample?

Answer:

There will be 90 ways to reach Greenup from Charleston.

Step-by-step explanation:

Option C: 90 is correct.

Let's name all the ways and try to visualize the roads.

C = Charleston

M = Mattoon

T = Toledo

G = Greenup

Task = Charleston to Greenup. How many different ways to reach?

    1            1          

    2           2           1

C   3     M   3   T      2   G

     4           4           3

     5           5

                   6

So, Refer to this above diagram.

If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.

If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.

It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.

The total number of ways to get from Charleston to Greenup is option C) 90.

To determine this, multiply the number of roads for each section:

Then, multiply the numbers of roads for all the sections: [tex]5 * 6 * 3 = 90[/tex].

Answer:60

Step-by-step explanation: BECAUSE YOU ARE A GREAT PERSON.

Answer:

i dont know sorry

Step-by-step explanation:

i dont know sorry

Answer:

-7 ≤ f(x) ≤7

Why:

The set of values of the dependent variable for which the function is good.

Janice will need to spend $2756.00 on fencing.

Set up the equation for the width:

Width = 2x^2 - 99x + 6 (given in the problem)

Substitute the known length (50 feet) into the equation:

50 = 2x^2 - 99x + 6

Solve the quadratic equation for x (length of the wider side):

This equation can be solved using various methods like factoring, quadratic formula, or online calculators. For example, using an online calculator, we find two solutions: x ≈ 1.59 or x ≈ 49.41.

Since the length cannot be a fraction of a foot, choose the larger solution:

x ≈ 49.41 feet

Calculate the total perimeter of the enclosed area:

Perimeter = 2 (length + width) = 2 (50 feet + 49.41 feet) ≈ 198.82 feet

Find the total cost of fencing:

Total cost = Perimeter * Cost per foot = 198.82 feet * $13/foot ≈ $2756.00

Therefore, Janice needs to spend $2756.00 on fencing to enclose the specified portion of her yard.

Answer:

Loaves of zucchini bread = 3

Loaves of banana bread = 3

Completed question;

What is the number of whole loaves of each type of bread Hayley should make in order to havo the best

amount of the 15 cups of flour and 9 eggs left over?

Given that;

Each Banana bread requires 3 cups of flour and 1 egg

And Each zucchini bread requires 2 cups of flour and 2 eggs.

Loaves of zucchini bread:?

Loaves of banana bread:?​

Step-by-step explanation:

Representing the problem in equation form;

3b + 2z ≤ 15 .......1

b + 2z ≤ 9 .......2

Where;

b is the number of banana bread to be made and

z is the number of zucchini bread to be made

To solve, subtract equation 2 from 1;

3b-b + 2z-2z ≤ 15-9

2b ≤ 6

b ≤ 6/2

b ≤ 3

Substituting into equation 2

3 + 2z ≤ 9

2z ≤ 9 - 3

2z ≤ 6

z ≤ 6/2

z ≤ 3

Loaves of zucchini bread = 3

Loaves of banana bread = 3

3 whole loaves of each type of bread should be made

Represent the banana bread with x, and the zucchini bread with y.

Using the complete question as a guide, we have the following equations

3x + 2y = 15

x + 2y = 9

Subtract both equations

2x = 6

Divide both sides by 2

x ≤ 3

Recall that:

x + 2y = 9

So, we have:

3 + 2y = 9

Subtract 3 from both sides

2y = 6

Divide both sides by 2

y = 3

So, we have:

x = y = 3

Hence, 3 whole loaves of each type of bread should be made

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0.05 written in scientific notation is 5 * 10^-2

The number is given as:

Number = 0.05

Multiply by 1

Number = 0.05 * 1

Express 1 as 100/100

Number = 0.05 * 100/100

Evaluate the product

Number = 5 * 1/100

Express 1/100 as an exponent

Number = 5 * 10^-2

Hence, 0.05 written in scientific notation is 5 * 10^-2

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The correct scientific notation for the decimal 0.05 is 5 x 10^-2, which is the option that correctly shows this number in scientific notation.

The question asks for the correct scientific notation of the decimal 0.05. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It's a way of scaling down or up numbers to make them easier to work with, especially when dealing with very large or very small values.

To write 0.05 in scientific notation, we identify a number between 1 and 10 followed by a power of 10 that will put the decimal in the correct place. We see that 0.05 is the same as 5 moved two decimal places to the left. Therefore, in scientific notation, we write this as 5 x 10-2.

The option showing 0.05 written correctly in scientific notation is 5 x 10-2.

Answer:

C. Bulldogs

Step-by-step explanation:

In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:

3= 3 ^1

5= 5^1

8= 2 * 2 * 2 = 2^3

2= 2^1

We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120

Each number will be:

Tiger= 2/3 * 40/40= 80/120

Redbird = 4/5 * 24/24= 96/120

Bulldogs = 3/8 * 15/15 = 45/120

Titans = 1/2 * 60/60 = 60/120

As you can see, the team with the lowest chance to play is Bulldogs = 45/120

Answer:

bulldogs (i think)

Step-by-step explanation:

Answer:

Step-by-step explanation:

He set the factored expressions equal to eachother

Mathieu made the error of setting the factored expressions equal to each other. In step 3, he incorrectly wrote x + 3 = x + 1. This is not true, and it led him to the incorrect conclusion that x = -2.

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Suppose that we're given that:

Population standard deviation =[tex]\sigma[/tex]

Size of sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

We are given that;

f(x) = x2 + 4x + 3

Now,

To find the x-intercepts of the function f(x) = x^2 + 4x + 3, you need to set the function equal to zero and solve for x:

x^2 + 4x + 3 = 0

You can factor this quadratic equation as:

(x + 3)(x + 1) = 0

Then, you can use the zero product property to find the values of x that make the equation true:

x + 3 = 0 or x + 1 = 0

Solving for x in each equation gives:

x = -3 or x = -1

Therefore, after finding the error step 3 will be f(x) = x^2 + 4x + 3 are (-3, 0) and (-1, 0).

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Answer:

150 units³

Step-by-step explanation:

l * w * h = volume, so...

10*5*3 = volume

150 = volume

Answer: its 150 i took the test

Step-by-step explanation:

Answer:

11,744

Step-by-step explanation:

Answer:

11744

Step-by-step explanation:

Answer:

x^(2)-14=50

Step-by-step explanation:

The word problem 'The difference between a number squared and 14 is 50' translates to the quadratic equation x^2 - 14 = 50 in mathematical terms.

To form an equation, let's denote the unknown number as x. The phrase 'a number squared' can be written as x2, and 'the difference between a number squared and 14' translates to x2 - 14. According to the problem, this difference equals 50. Therefore, the equation representing this situation is:

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Answer: it’s A

Step-by-step explanation:

I took the edge test

9514 1404 393

Answer:

  24°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc.

  48°/2 = 24°, the measure of ∠ABC

Answer:

9d+5e+6f

Step-by-step explanation:

(4d + 7e – 3f) + (5d – 2e +9f)

4d+5d+7e-2e-3f+9f

9d+5e+6f

Answer:

9d+5e+6f

Step-by-step explanation:

(happy to help)

Answer:

the slope

Step-by-step explanation:

Answer:

the answer is 5 inches

Step-by-step explanation:

so for this problem I used the pythagorean theorem which is a^2 + b^2 = c^2.

Answer:

its A

Step-by-step explanation:

i got it right

Answer:A

Step-by-step explanation:

Answer:

19% of 205 = 38.95

Hope this helps love!

Answer:

a

Step-by-step explanation:

Hence the correct answer is Option (A) i.e. 37

The composition of a function is an operation where two functions say f and g generate a new function.

Given,

        [tex]f(x)= x^2+1[/tex]-------------------(1)  

and,  [tex]g(x)= x-4[/tex]

Now ,

          [tex]fog(x)=f[g(x)][/tex]

                     [tex]=f(x-4)[/tex]

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

                     [tex]=x^2-8x+16[/tex][tex]+1[/tex]  

         [tex]fog(x)=x^2-8x+17[/tex]-----------------(2)

Now , we need to find  [tex]fog(10)[/tex]

so, put x=10 in equation 2, we get:

[tex]fog(10) = 10^2 -8(10)+17\\fog(10) = 100-80+17\\fog(10) = 37[/tex]

Hence, the answer is 37

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Answer:

Yes: A, B, F

No: C, D, E

Step-by-step explanation:

2(x + 7) = 36

First divide both sides by 2

(x + 7) = 36/2

x + 7 = 18

Or

2(x + 7) = 36

2x + 14 = 36

Or,

2(x) + 2(7) = 36

The equations that represent the correct first step to the given equation should be Yes for options  A, B, F and No for options  C, D, E

Since the given equation is 2(x + 7) = 36

Here we first divide both sides by 2

So,

(x + 7) = 36 ÷ 2

x + 7 = 18

Or

2(x + 7) = 36

2x + 14 = 36

Or,

2(x) + 2(7) = 36

Therefore, The equations that represent the correct first step to the given equation should be Yes for options  A, B, F and No for options  C, D, E

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Answer:

1/4

Step-by-step explanation: 1/2*2=1/4

The probability of winning two games in a row, with each win having a 1/2 chance, is 1/4 or 25 percent, calculated by multiplying the individual probabilities for each game using the product rule.

The probability that you win a game is given as 1/2, and since the games are independent, the probability of winning both games in a row is found by multiplying the probabilities of each individual game. Using the product rule, P(win game 1 and game 2) = P(win game 1) × P(win game 2).

Since P(win) = 1/2 for each game, we simply calculate:

P(win both games) = (1/2) × (1/2) = 1/4.

Therefore, the probability of winning both games is 1/4 or 25 percent.

Answer:

well i have no idea what ur asking but i think 6+3*2>-3 and 98<1/2*2+1

Step-by-step explanation:

Answer:

a)  [tex]y=12000(2)^{\frac{t}{50}}[/tex]

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

[tex]y=Ab^{\frac{t}{n}}[/tex]

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

[tex]y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}[/tex]

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

[tex]y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76[/tex]

The number of bacteria after 1 hour would approximate be 27,569 bacteria

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

[tex]y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103[/tex]

After about 103 minutes, there will be 50,000 bacteria

Answer:

See below

Step-by-step explanation:

You have not provided the options.

But I will explain how you can work it.

Coterminal angles are two or more angles that have the same terminal side in standard.

If you want to find an angle that is coterminal with 98°, you keep adding or subtracting 360°.

[tex]98 + 360 = 458 \\ 98 + 2 \times 360 = 818[/tex]

[tex]98 - 360 = - 262[/tex]

Therefore 488°, 818°, -262° are examples of angles that are coterminal with 98°

The greatest percent discount is the option where the item is on sale at 60% of the original price. This is because you are paying the smallest percentage (60%) of the original price compared to the other options, representing the largest discount.

The question is pertaining to discounts and how to determine which option gives the greatest percent discount. Finding the greatest percent discount involves comparing the different percentage decreases from the original price. We can ignore any impact of sales tax for this particular comparison.

Here are the discounts rephrased in terms of how much of the original price you would pay:

Now, comparing these percentages (75%, 70%, and 60%), the smallest percentage represents the largest discount. Therefore, option 3, where the item is on sale at 60% of the original price, represents the greatest discount as you're paying the smallest percentage of the original price. The original price does not impact which discount is greater since we are comparing percentages, not absolute values, which means the answer does not depend on the original price.

Final answer:

Comparing percent discounts shows that being on sale at 60% of the original price (Option 3) is effectively a 40% discount, which is the greatest discount among the given options.

Explanation:

The question asks about comparing different percent discounts to determine which one is the greatest. To compare the discounts, we consider a hypothetical original price and apply each discount to see which reduced price is the lowest.

Option 1: 25% off means the sale price is 75% of the original price.

Option 2: A reduction of 30% means the sale price is 70% of the original price.

Option 3: On sale at 60% of the original price means the sale price is exactly that, 60% of the original price.

Option 4: The sale that offers the greatest percent discount does not depend on the original price because percentages are relative, not absolute values.

Considering these options, Option 3, being on sale at 60% of the original price, is equivalent to a 40% discount, which offers the greatest percent discount.

The insect population after 4 weeks will be 160 to the nearest whole number.

The student is asking about the function f(x) = 10(2)ˣ, which models an insect population after x weeks.

To find the population after 4 weeks, we need to substitute x with 4 in the function:

f(4) = 10(2)⁴

Now we calculate the value:

f(4) = 10(16) = 160

So, to the nearest whole number, the insect population after 4 weeks will be 160.

Answer:

x=1

Step-by-step explanation:

To solve this question we will have to open the bracket first

So let's solve

3(x-5)=18

Open the bracket

3x-15=18

Add 15 to both sides

3x=3

Make x the subject of formula by dividing both sides by 3

x=1

So the final answer is 1

Answer:

x = 11

Step-by-step explanation:

First Expand the Brackets

3x-15 = 18

Then add 15 onto both sides

3x = 33

Divide both sides by 3

x = 11

To identify a table representing the recursive formula an = a(n-1) + 6, one should look for a pattern where each term is 6 greater than the previous one.

The recursive formula an = a(n-1) + 6 is a mathematical way of defining a sequence that is created by adding 6 to the previous term. To find out which table represents this formula, look for a pattern where each term is 6 greater than the one before it. For example, if the first term is 2, the second term should be 2 + 6 = 8, the third term should be 2nd term + 6 = 8 + 6 = 14, and so on. By following this pattern, you can identify the table that accurately represents the recursive formula.

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Answer:

First you'll find the equation of the graphed line in slope-intercept form, y = mx+b, and then from there we'll convert it into standard form, ax+by = c. To find the slope of the line you could either use the two points on the line or just look and see.

Step-by-step explanation: