An Imaginary Poll in June 2021 asked KHS students to list their favorite Marvel comic
character. The responses are shown below.

Spiderman - 45
Hulk - 30
Black panther - 28
Black widow - 17
Rocket raccoon - 5
Total = 125

If we randomly select two different people from this sample, what is the probability that both
chose Black Panther as their favorite character?

a. 2/125
b. 1/250
c. 189/3875
d. 1/15500
e. 756/15625

To estimate the proportion of admitted hospital patients who have type 2 diabetes at Orlando Health Hospitals within a certain margin of error and confidence level,

we can use the following formula to determine the necessary sample size:

\(n = [(Z^2 * p * q) / E^2] / [1 + ((Z^2 * p * q) / E^2N)]\)

where:

n = sample size

Z = z-score for the desired confidence level (in this case, 1.81 for a 93% confidence level)

p = estimated proportion of patients with type 2 diabetes (unknown)

q = 1 - p

E = margin of error (0.06)

N = population size (unknown)

Since we do not know the estimated proportion of patients with type 2 diabetes or the population size,

we can assume a conservative estimate of p = q = 0.5, which maximizes the sample size required.

Plugging in the values, we get:

\(n = [(1.81^2 * 0.5 * 0.5) / 0.06^2] / [1 + ((1.81^2 * 0.5 * 0.5) / 0.06^2N)]\)

Simplifying, we get:

\(n = 1242.95 / [1 + (2.4 / N)]\)

To satisfy the requirements of the problem, we need to round up to the nearest whole number, so we need a sample size of at least 1243 patients.

Note that if we had a better estimate for p or N, we could use those values in the formula to get a more precise sample size.

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Answer:

I believe its c

Step-by-step explanation:

just for reference I can't guarantee

The best described compass tool is a metal instrument with two legs-one with a point and one for a pencil option (c) a metal instrument with two legs-one with a point and one for a pencil.

The magnetic field is defined as the field the magnetic materials generate or when an electric charge moves in a field region that generates the magnetic field.

It is given that:

A tool is a compass tool which is an indicating the north direction.

As we know,

The magnetic field is defined as the field the magnetic materials generate.

A metal object with two legs, one for a pencil and one with a tip.

Thus, the best describes compass tool is a metal instrument with two legs-one with a point and one for a pencil option (c) a metal instrument with two legs-one with a point and one for a pencil.

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The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

Answer:

4.5x6x5.5= 148.5

Step-by-step explanation:

148.5

Answer:

148.5

Step-by-step explanation:

4.5 * 6 * 5.5

=

148.5

The domain of a logarithmic function:

will always be all the positive numbers, that is the domain is:

Answer:

1/5 cup of oil is left in the measuring cup

Step-by-step explanation:

4/5-3/5=1/5

4-3=1

The lights which were on was 48%.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that there were 72 lights on, and 78 lights turned off.

We need to find the percent of the lights turned on.

So, percentage of something =

= number of thing / total number of the thing x 100%

Here, the number of thing = light on = 72

Total = 72 + 78 = 150

So, the percent of light on = 72 / 150 x 100% = 0.48 x 100%

= 48%

Hence the lights which were on was 48%.

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Answer:

336

Step-by-step explanation:

just took the test

The correct answer is 336.

By using the arrangement calculation formula:

⇒ \(A^{3}\)\(^{8}\)  

⇒ 8 × 7 × 6

⇒ 336

The correct answer is 336.

Remember that combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula NCR = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.

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In 84 ways 3 employees can be chosen from the set of 9.

What is combination?

Total 9 employees from that 3 employees can be chosen.

Total number of combination = ⁹C₃

= 9! / (9-3)! 3!

= 9 *8 *7/3*2

=3* 4* 7

= 12 * 7

= 84

Hence, in 84 ways 3 employees can be chosen from the set of 9.

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If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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The assumption that is not necessary for one-way analysis of variance (ANOVA) is:

"The distribution of the response variable is normal for all treatments."

In ANOVA, the primary assumption is that the populations of values of the response variable associated with the treatments have equal variances. This assumption is known as homogeneity of variances.

The other assumptions listed are indeed necessary for conducting a valid one-way ANOVA:

- The samples of experimental units associated with the treatments are randomly selected. Random sampling helps to ensure that the obtained samples are representative of the population.

- The experimental units associated with the treatments are independent samples. Independence is important to prevent any influence or bias between the treatments.

- The number of sampled observations must be equal for all p treatments. Equal sample sizes ensure fairness and balance in the analysis, allowing for valid comparisons between the treatment groups.

Therefore, the assumption that is not required for one-way ANOVA is that the distribution of the response variable is normal for all treatments. However, normality is often desired for accurate interpretation of the results and to ensure the validity of certain inferential procedures (e.g., confidence intervals, hypothesis tests) based on the ANOVA results.

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Answer:

C is the answer

Step-by-step explanation:

Its hard to explain, but i'm 100% sure.

Answer:

All of them

Step-by-step explanation:

if you look closely at the shame and decipher each option they all come into form for that shape.

Hope Hopes^^

Barry

The calculated t-statistic (3.24) is greater than the critical value (1.699), reject the null hypothesis

Since the calculated t-statistic (3.24) is greater than the critical value (1.699), we reject the null hypothesis.
In conclusion, the dentist's claim is supported.

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The correct inequality to find the value of t is: 15 x 3t > 3000.

Let the number of days it takes for the number of people who have liked the video to reach more than 3,000 be t. According to the given statement, The number of people who like a particular video online triples every day after the day the video is posted.

If 15 people like the video on the day it is posted, then the total number of likes the next day is 3 x 15, i.e. 45 (3 times the number of people who like the video).

Therefore, the number of likes increases exponentially by a factor of 3 every day. So, we can write the number of likes in t days as 15 x 3t

To find t such that the number of people who have liked the video reaches more than 3,000, we can use the following inequality: 15 x 3t > 3000

We can simplify the above inequality as follows: 15 x 3t > 3000⇒ 3t > 200⇒ t > log3 200⇒ t > 5.7 (approx)

Therefore, it takes 6 days for the number of people who have liked the video to reach more than 3,000.

The correct inequality to find the value of t is: 15 x 3t > 3000.

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The volume of the solid obtained by rotating the region R, bounded by the graphs of y = 3 - x², y = 3x - 1, and x = 0, about the y-axis is -28π cubic units.

The volume of the solid obtained by rotating the region R, bounded by the graphs of y = 3 - x², y = 3x - 1, and x = 0, about the y-axis can be found using the method of cylindrical shells.

To find the volume, we integrate the circumference of each shell multiplied by its height, summing up all the shells. The height of each shell is the difference between the y-values of the two curves at a given x-value, and the circumference is given by 2πx.

First, let's find the points where the two curves intersect. Setting the equations for y equal to each other, we have:

3 - x² = 3x - 1

Rearranging and simplifying:

x² + 3x - 4 = 0

Factoring the quadratic equation:

(x + 4)(x - 1) = 0

So, x = -4 and x = 1 are the x-coordinates of the intersection points.

Next, we integrate from x = -4 to x = 1. The volume of each shell is given by:

dV = 2πx(y₁ - y₂)dx

where y₁ is the upper curve (3 - x²) and y₂ is the lower curve (3x - 1).

Integrating the expression, we have:

V = ∫[from -4 to 1] 2πx((3 - x²) - (3x - 1))dx

Simplifying further:

V = 2π ∫[from -4 to 1] (4x - x³ - 2x + 1) dx

Integrating term by term:

V = 2π [(2x² - 0.25x⁴ - x² + x)] [from -4 to 1]

Evaluating the definite integral:

V = 2π [(2 - 0.25 - 1 + 1) - (32 - 4 - 16 + 4)]

V = 2π [2 - 16]

V = -28π cubic units

Therefore, the volume of the solid obtained by rotating the region R about the y-axis is -28π cubic units.

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Answer:

£8489.66

Step-by-step explanation:

100% × 2% = 102%

102% = 1.02

£8000 × \(1.02^{3}\) = 8489.664

= £8489.66

Answer:

7 x 21

Step-by-step explanation:

We can say that the dimensions are a and b. Since this is a rectangle, we know that the perimeter will be 2a + 2b. So our first equation is:

2a + 2b = 56.

They also tell us that the length is 3 times its width. So we can say this:

a = 3b.

Now we can substitute, and we can do the full problem with the given info:

2a + 2b = 56

a = 3b

2a = 6b

6b + 2b = 56

8b = 56

b = 7

Now that we know b, we can multiply it by 3 to get a:

b = 7

a = 3b

a = 21.

So our answer is:

a = 21

b = 7

Answer:

Dimensions:

7 x 21

Answer:

Width=7

Length=21

Step-by-step explanation:

p=56 feet

L=3W

P=2L + 2W

56=2(3W)+2W

56=6W+2W

56=8W

W=56/8 = 7 ⇒ Width=7

L=3W

L=3*7

L=21 feet ( length=21 feet)

check : p=2l+2w

P=2(21)+2(7)

p=42+14=56

The width of the frame will be 6 inches.

The area of the rectangle is defined as the space occupied by the rectangle in two dimensional space.

Given that a rectangular picture is 9 inches wide and 12 inches long. the picture has a frame of uniform width. if the combined area of picture and frame is 180 in².

The area of the picture is calculated as:-

Area = L x W

Area =  12 x 9

Area = 108 square inches

The remaining area of the frame is,

Area = 180 - 108

Area = 72 square inches.

The width of the ram is calculated as:-

Area = L x W
72 = 12 x W
W = 72 / 12

W = 6 inches

Therefore, the frame will have a width of 6 inches.

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Answer:

B. 15

Step-by-step explanation:

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.3" was replaced by "(113/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    b-((113/10))>0  

Step by step solution :

STEP

1

:

           113

Simplify   ———

           10  

Equation at the end of step

1

:

      113

 b -  ———  > 0  

      10  

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

         b     b • 10

    b =  —  =  ——————

         1       10  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b • 10 - (113)     10b - 113

——————————————  =  —————————

      10              10    

Equation at the end of step

2

:

 10b - 113

 —————————  > 0  

    10    

STEP

3

:

3.1    Multiply both sides by  10  

3.2    Divide both sides by  10  

     b-(113/10)  > 0

Solve Basic Inequality :

3.3      Add  113/10  to both sides

            b > 113/10

Inequality Plot :

3.4      Inequality plot for

        b  - 11.300  >  0

One solution was found :

b > 113/10

Which number is a solution of the inequality?

b > 11.3

The answers are 15,9,-14, and 4

15

Answer:

Step-by-step explanation:

Step 1: Convert the discounted percent to decimal

20% = 0.2

Step 2: Multiply the discount to the item regularly priced

0.2(65.00) = 13

So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:

Step 3: Subtract the result (the discount Bill received) from the regular price

$65.00 - $13.00= $52.00

Therefore, Bill paid $52.00

Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price

$4.50 × 40% = 1.8

\(\frac{4.50}{x}=\frac{100\%}{40\%}\)

\(\frac{x}{4.50}=\frac{40}{100}\)

x = 1.8

Step 2: Add the result to the wholesale price for the pillow

4.50 + 1.8 = $6.3

Step 3: Round to the nearest cent

Add a zero behind the result = 6.30

Therefore, the price of the pillow in the department store is $6.30

Answer:

Rise/Run

or

\(\frac{rise}{run}\)

Step-by-step explanation:

The formula for slope is referred to rise over run,

Because the fraction consists of the rise (the change in y, going up or down) divided by the run (the change in x, going from left to the right).

A rise over run equation would be formatted like this:

Rise/Run

or

\(\frac{rise}{run}\)

(i used to struggle with slopes, and i understand how much of a pain they are)

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

Work Shown:

\(a \bowtie b = a + \sqrt{b+\sqrt{b+\sqrt{b+...}}}\\\\7 \bowtie g = 7 + \sqrt{g+\sqrt{g+\sqrt{g+...}}} = 9\\\\\sqrt{g+\sqrt{g+\sqrt{g+...}}} = 2\)

After subtracting 7 from both sides.

Note how because we have an infinite sequence of nested radicals, we can let \(x = \sqrt{g+\sqrt{g+...}}\) which means x is equal to 2 as well.

This lets us say

\(\sqrt{g+\sqrt{g+\sqrt{g+...}}} = \sqrt{g+x} = x\)

Solve the equation \(\sqrt{g+x}= x\) for x to get

\(\sqrt{g+x} = x\\\\g+x = x^2\\\\x^2-x-g = 0\\\\x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-g)}}{2(1)}\\\\x = \frac{1\pm\sqrt{1+4g}}{2}\\\\x = \frac{1+\sqrt{1+4g}}{2} \ \text{ or } \ x = \frac{1-\sqrt{1+4g}}{2}\)

Since x is positive, this means we only focus on the first equation in the last line above.

Earlier we let x be equal to the infinite nested radicals involving g, but x is also equal to 2. So plug in x = 2 and use that to find g.

\(x = \frac{1+\sqrt{1+4g}}{2}\\\\2 = \frac{1+\sqrt{1+4g}}{2}\\\\4 = 1+\sqrt{1+4g}\\\\3 = \sqrt{1+4g}\\\\9 = 1+4g\\\\1+4g = 9\\\\4g = 8\\\\g = 2\\\\\)

As a check, we can do the following

\(7 + \sqrt{2+\sqrt{2}} \approx 8.84775906502258\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2}}} \approx 8.96157056080647\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}} \approx 8.9903694533444\\\\\)

we're slowly approaching 9

Answer: \(g = \boxed{2}\)

Step-by-step explanation:

\(\sqrt{g+\sqrt{g+\sqrt{g+...}}}=2\)

implies that

\(\sqrt{g+\sqrt{g+\sqrt{g+...}}}=\sqrt{g+2}=2\).

Squaring both sides of this new equality, we have \(g + 2 = 4 \implies g = \boxed{2}\)

Answer:

Could you please finish the question?? I don't get you.

I think you understand why there is no answer. My apologies!!

✨Thanks!!!✨

Answer:

A. x < 2

Step-by-step explanation:

2x - 8 < 12

2x < 12 + 8

2x < 20

x < 20/10

x < 2

26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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Answer:

hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.

Step-by-step explanation:

Answer:

7.35 pints

Step-by-step explanation:

If we use 1/4 of the 9.8 pints for blue, then the remaining white paint takes up 3/4 of the 9.8 pints of paint. To find how many pints of paint is equal to 3/4 of it, you must multiply that fraction by the amount (9.8).

\(\frac{3}{4}\) * 9.8 (or 0.75 * 9.8) = 7.35

Therefore, 7.35 pints of the total paint used is white.

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