Calculate the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria: 95% confidence, within 5 percentage points, and a previous estimate of 0.25 288.12 0/2 pts Question 16 Calculate the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria: 95% confidence, within 5 percentage points, and a previous estimate is not known 384

Answer:

The complement of 63° is the angle that when added to 63° forms a right angle (90° ).

Step-by-step explanation:

I assume this is the answer u want, if not I apologize.

Answer:

a5 = 2604

Step-by-step explanation:

a1 = 4

a2 = -5(4)-1 = -21

a3 =-5(-21)-1 = 104

a4 = -5(104)-1 =-521

a5 =-5(-521)-1 = 2604

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's solve ~

\(\qquad \tt \dashrightarrow \:a1 = 4\)

Now, let's proceed next till we get\( \tt a_5 \)

\(\qquad \tt \dashrightarrow \: a_2 = - 4a_{(2 - 1)}+ 5\)

\(\qquad \tt \dashrightarrow \: a_2 = - 4a_{1}+ 5\)

\(\qquad \tt \dashrightarrow \: a_2 = (- 4 \times 4)_{}+ 5\)

\(\qquad \tt \dashrightarrow \: a_2 = - 16_{}+ 5\)

\(\qquad \tt \dashrightarrow \: a_2 = - 11\)

Similarly,

\(\qquad \tt \dashrightarrow \: a_3 = 49\)

\(\qquad \tt \dashrightarrow \: a_4= - 191\)

Now, let's solve for \(\tt a_5 \)

\(\qquad \tt \dashrightarrow \: a_5= - 4( - 191) + 5\)

\(\qquad \tt \dashrightarrow \: a_5= 764 + 5\)

\(\qquad \tt \dashrightarrow \: a_5= 769\)

5 km = 5000 meters

66 minutes = 3960 seconds

Meters per second = 5000/3960 = 1.26

The answer is A.1.26

Answer:

The answer is 1 9/19

Step-by-step explanation:

Answer:

a₄ = - 26

Step-by-step explanation:

Substitute n = 4 into the nth term formula

a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26

Answer:

d is correct

Step-by-step explanation:

Answer: dark blue

8 for a cd and start with $15

Step-by-step explanation: Here, notice that the value that we

don't know is how many CDs are purchased.

Since CD's cost $8, we multiply 8 by our variable, which is x.

So we have 8 times x or 8x.

In addition, since there is a one time fee

of $15 to begin, we add 15 to 8x.

So we have 8x + 15.

Ellen can make a maximum of 6 batches of Cardamom cookies with her 2 fluid ounces of cardamom.

Ellen has 2 fluid ounces of cardamom in a jar. Her recipe requires 3/10 of a fluid ounce of cardamom for each batch of cardamom cookies.

We can use division to find the number of batches of cardamom cookies that Ellen can make with all of her cardamom:

2 fluid ounces ÷ (3/10 fluid ounce per batch) = (2/1) ÷ (3/10)

= (2/1) x (10/3)

= 20/3

= 6 2/3

Therefore, Ellen can make 6 batches of cardamom cookies with her 2 fluid ounces of cardamom, with 2/3 of a batch remaining.

Since she cannot make a fraction of a batch, Ellen can make a maximum of 6 batches of cardamom cookies with her 2 fluid ounces of cardamom.

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Answer:

6

Step-by-step explanation:

Answer:

5-7-8-4'683

Step-by-step explanation:

5565674565343

The zeros of the given function y = 3p³ – 8p² + 4p are p = 0, p = 2, and p = 2/3

The zeros of a function are the values of the independent variable (in this case, p) for which the function equals zero.

To find the zeros of the function y = 3p³ – 8p² + 4p, we need to set y equal to zero and solve for p.

y = 3p³ – 8p² + 4p = 0

3p³ – 8p² + 4p = 0

We can factor this as p(3p-2)(p-2) = 0

So, the zeros of the function are p = 0, p = 2, and p = 2/3

In the context of the situation, these zeros represent the values of plastic pollution (p) at which the population size of mackerel (y) reaches 0. Therefore, the zero p = 1 represents the amount of plastic pollution that causes the mackerel population to reach p = 0, p = 2, and p = 2/3  represent the solutions.

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Answer:

x = 1 if the perimeter is 42

Step-by-step explanation:

Given

s = 4x + 10

when Perimeter = 42, what is x?

Solution

Perimeter = 3s

Perimeter = 3(4x +10)                Remove the brackets

Perimeter = 12x + 30

Let the Perimeter = 42

42 = 12x + 30                              Subtract 30 from both sides

42-30 = 12x + 30-30                   Combine

12 = 12x                                        Divide by 12

12/12 = 12x/12

x = 1

The nominal rate of interest is the rate of interest that is not adjusted for inflation. It can be calculated from the real rate of interest and the expected inflation rate using the Fisher equation:

(1 + nominal rate) = (1 + real rate) * (1 + inflation rate)

In this case, the real rate of interest is 3.5%, or 0.035, and the expected inflation rate is 3.5%, or 0.035. Substituting these values into the Fisher equation, we get:

(1 + nominal rate) = (1 + 0.035) * (1 + 0.035)
                  = 1.071225

Solving for the nominal rate, we get:

nominal rate = 1.071225 - 1
            = **0.071225**

Therefore, if the annual real rate of interest is 3.5% and the expected inflation rate is 3.5%, then the nominal rate of interest would be approximately **7.1225%**, or **7%** when rounded to the nearest whole percent. This corresponds to answer choice (d).

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Answer:

−8x − 12y − 18q − 42p

Step-by-step explanation:

-4 x 3y = -12y and only number 2 is correct

The solution is Option B.

The value of the equation is A = -8x - 12y - 18q - 42p

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A = -4 ( 2x + 3y ) - 6 ( 3q + 7p )

Now , on simplifying the equation , we get

A = -4 ( 2x ) - 4 ( 3y ) - 6 ( 3q ) - 6 ( 7p )

The  value of A = -8x - 12y - 18q - 42p

Therefore , the value of A is -8x - 12y - 18q - 42p

Hence , The value of the equation is A = -8x - 12y - 18q - 42p

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The solution of the expression is,

⇒ S = - 5100

Since, An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

We have to given that;

Sequence is,

⇒ ∑ n = 1 to n = 4 [ 100 (- 4)ⁿ⁻¹ ]

Now, We get;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

Replace n to n + 1;

⇒ a (n + 1) = 100 (- 4)ⁿ

And, For n = 1;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

⇒ a (1) = [ 100 (- 4)¹⁻¹ ]

⇒ a (1) =  100

And, Common ratio = - 4

Hence, The sum of geometric ratio is,

⇒ S = 100 (1 - (- 4)⁴) / (1 + 4)

⇒ S = 100 (1 - 256) / 5

⇒ S = - 5100

Thus, The solution of the expression is,

⇒ S = - 5100

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The number of freshmen that are students is 738

Let y represent the number of students that are freshmen

The freshmen class is made up of 480 female students

This number represents 65% of the freshmen class

Therefore the total number of students that are freshmen can be calculated as follows

y × 65/100= 480

65y/100= 480

Cross multiply both sides

65y= 480 × 100

65y= 48000

y= 48000/65

y= 738.4

≅ 738

Hence 738 students are freshmen

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Answer:

volume is L × W x

Step-by-step explanation:

15 x 12 x 6

see attached I wrote down for you.

Answer:

360 ft³

Step-by-step explanation:

Volume of a rectangular pyramid = (lwh)/3 = (12x6x15) / 3 = 1080/3 = 360 ft³

V = (length x width x height) ÷ 3

By using the concept of Permutation and Combination, Counting Principle  Phyllis can make 168 ways to select students.

Permutation and Combination are about making arrangements and making selections on the basis of certain formulas

The re-arranging of any given sorted/ordered set is called a permutation. The “permutation” word actually tells us that change the linear order of the ordered set.

Selecting items from a large collection without taking any care about their order is called combinations.

We need to select one freshman out of 12 freshmen. So selecting r things from n things we can do selection in nr ways, so we can do a selection of freshmen in 12c1 ways

Similarly, we need to select one sophomore out of 14 sophomores, so we can do a selection of sophomores in 14c1 ways

We know that ncr is equivalent to \(\frac{n!}{r!(n-r)!}\)

So, using this concept total number of ways to select a student

= ((12c1)×(14c1))

=12×14

=168 ways

Hence Phyllis can select students in 168 ways

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90 points where at least two of the circles intersect.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

Given,

Four distinct circles are drawn in a plane.

Start with two circles; they can only come together in two places. The third circle contacts each of the previous two circles in two spots each, bringing the total number of intersections up to four with the addition of a third circle. The total number of intersections will rise by another 6 when a fourth circle intersects the first three. And the list goes on.

As a result, we get a recognizable, regular pattern: for each additional circle, there are two more intersections overall than in the circle before it.

The total number of intersections can be expressed as the sum because the maximum number of intersections of 10 circles must occur when each circle contacts every other circle in 2 places each.

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90.

90 points where at least two of the circles intersect.

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Answer:

\(L=\dfrac{4}{5}\)

Step-by-step explanation:

\(3L=5L-\dfrac{8}{5}\)

Add 8/5 to both sides:

\(3L+\dfrac{8}{5}=5L\)

Subtract 3L from both sides:

\(\dfrac{8}{5}=2L\)

Divide both sides by 2 to isolate L:

\(L=\dfrac{4}{5}\)

Hope this helps!

Answer:

4/5.

Step-by-step explanation:

3L = 5L - 8/5

8/5 = 5L - 3L

2L = 8/5

L = 8/10 = 4/5.

Answer:

it shows the unit rate of the graph in miles per hour.

Step-by-step explanation:

Answer:

It shows the unit rate of the graph in miles per hour

Step-by-step explanation:

...

Answer:

Answer: The formula solved for L is E/100M = L. Step-by-step explanation: So far we have the givens: E, is measured by the formula E = 100M/L, where M = number monsters and L= level of monsters and solve for L. Thus, isolate L to solve for it. E = 100M/L. Divide each side by 100M to get rid of it and to free L. E/100M = L. Hence your answer!

Step-by-step explanation:

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

An angle is formed when two or more lines intersect at a point. Types of angles are acute, obtuse, and right angled.

Two lines are said to be perpendicular if there is a 90 degrees angle between them.

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

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Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.

In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.

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It will take 112.5 minutes to mow a lawn that measures 6000 sq ft .

In the question ,

it is given that ,

the time taken to mow 800 sq ft of the given lawn is = 15 minutes ,

So , the time taken to mow 1 sq ft of lawn is = 15/800 minutes .

to find the time taken to mow 6000 sq ft , we multiply by 6000 ,

We get ,

time taken to mow 6000 sq ft of the lawn is = 6000*(15/800)

on solving , we have

= 90000/8000

Simplifying further ,

we get ,

= 112.5 minutes

Therefore , 6000 sq ft lawn will be mowed in 112.5 minutes .

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Given:

Four students took a math test on decimals before being tutored. After attending tutoring sessions for a week, they took another test to see if they could improve their scores.

Required:

Here we have to find who's score was lower after tutoring.

Explanation:

Now by considering the red and blue bar in the given figure, we can say that

Kim score was lower after tutoring.

Final Answer:

Kim score was lower after tutoring.

Answer:

10

Step-by-step explanation:

given :

length WX ≅ (congruent means equal) length XY

therefore ,  WX = 3

WZ = WX + XZ

WZ = 3 + 7

WX = 10

For the given Problem, The correct option giving Rachel's height in inches is (D) 70.

A z-score, also called standard score, can be used to measure- how much an observation or data point deviates from the mean of the distribution. By Subtracting the mean of the given distribution from the observation and after that dividing it by the standard deviation will give us the z-score for given observations.

Given:

Mean height (μ) = 65 inches

Standard deviation (σ) = 2 inches

Percentile (P) = 99%

The Z-score, commonly known as the standard score, helps in quantifying how much a data point deviates from the mean. It can be computers as:

\(Z = (X - \mu) / \sigma\)

where X is the value of the data point.

We can rearrange the equation to solve for X:

\(X = Z * \sigma + \mu\)

We may use a regular normal distribution table or a Z-table to obtain the Z-score corresponding to the 99th percentile. The Z-score for the 99th percentile is roughly 2.33.

\(X = 2.33 * 2 + 65\\\\X = 4.66 + 65\\\\X = 69.66\\\\{X}\;\approx70\; inches\)

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Answer:

Ok,first write the 2 points

(0,6)(9,3)

Second,find the slope with this formula

\(m=\frac{3-6}{9-0}\)

\(m=\frac{-3}{9}\)

\(m=\frac{-1}{3}\) this is the slope

The slope intercept form for 2 points is:

y-y1=m(x-x1)

\(y-6=\frac{-1}{3} (x-0)\) This is the final equation.

I hope this help :)