a researcher has collected the following sample data.512685675124the median is _____.a. 6b. 8c. 7d. 5

I think this is one of those trick questions!

I'm going to say the answer is... 90°

because it states within the question that ∠A and ∠B are vertical angles

That is my educated guess. I hope it's helpful!

Pls let me know if my answer is incorrect.

Answer:

a. 25.12 cm^2

Step-by-step explanation:

Area = π * r^2

a = π * 4^2

a = π * 8

a = 25.12

Answer:

1078.73721

Step-by-step explanation:

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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Answer:

see explanation

Step-by-step explanation:

Given

4x³ + x² - 8x - 2 ( factor the first/second and third/fourth terms )

= x²(4x + 1) - 2(4x + 1) ← first option on list

Finishing the factoring by factoring out (4x + 1) from each term

= (4x + 1)(x² - 2)

Answer:

x2(4x + 1) – 2(4x + 1)

Step-by-step explanation:

it's A on edg

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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Let R be a Regular Expression, ε be the empty string, and Ø be the empty set, then the correct statement isεR = Rε = R.

In particular, we have:

εR = Rε = R

This is since every expression R accepts a string of length 0, which is the empty string ε, and concatenating ε to the end of any string has no impact on its value.

The second statement is incorrect because the empty set Ø contains no string, and thus the expression ØR does not include any strings, while RØ will still result in Ø even if R generates a set of strings.

As a result, the correct statement is option 2) εR = Rε = R.

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Answer:

0.3333333333333333....

1/3 of the pizza is left. 1/3 of the 1/3 was eaten

so

1/3 × 1/3 = 1/9

same ate 1/9 of the pizza

Because is likely that the first outcome affected the second one, we can conclude that the events are dependent.

Two events are independent if the outcome of one can't affect the outcome of the other.

Here, first, she chooses a blue marker from one box and then a yellow one from another, these are the two events.

Now, these are independent or dependent?.

Well, the fact that she chooses a blue marker first, means that she probably would not want to choose another blue marker for the second one. So yes, the first outcome does affect the second outcome, meaning that the events are dependent.

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The angle of refraction is approximately 46.4°, which is close to but not exactly 47°.

When light passes from one medium to another, its path changes due to a phenomenon known as refraction. Snell's Law describes the relationship between the angle of incidence and the angle of refraction when light travels between two media with different indices of refraction. The law is given by:

n1 * sin(θ1) = n2 * sin(θ2)

Here, n1 and n2 are the indices of refraction of medium A and B, respectively, θ1 is the angle of incidence (36° in this case), and θ2 is the angle of refraction.

It is given that the index of refraction of medium A (n1) is 1.25 times that of medium B (n2). Therefore, n1 = 1.25 * n2.

Substituting this relationship into Snell's Law:

(1.25 * n2) * sin(36°) = n2 * sin(θ2)

Dividing both sides by n2:

1.25 * sin(36°) = sin(θ2)

To find the angle of refraction θ2, we can take the inverse sine (arcsin) of both sides:

θ2 = arcsin(1.25 * sin(36°))

Calculating the value:

θ2 ≈ 46.4°

The angle of refraction is approximately 46.4°, which is close to but not exactly 47°.

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The assumptions of the two-sample t-test for comparing two population means:

1. The two samples are independent of one another.

2. The two populations have equal variance or spread.

3. The two populations are normally distributed.

The Wilcoxon test is based upon ranking the nA +nB observations of the combined sample. Each observation has a rank: the smallest has rank 1, the 2nd smallest rank 2, and so on. The wilcoxon rank-sum test statistic is the sum of the ranks for observations from one of the samples.

The Wilcoxon signed rank test is a non-paracontinuouse-level test, in contrast to the dependent samples t-test.

Wilcoxon tests have about 95% of the power of a t-test if the data really are normal, and are often far more powerful if the data is not, so just use a Wilcoxon.

The Wilcoxon test may produce misleading results if many measurements are the same value. When many values are the same, their relative ranks are the same, and this has the effect of diluting the test.

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Answer: x=2

Step-by-step explanation: Subtract

3

3

3

from both sides of the equation

2

+

3

=

+

5

2

x

+

3

=

x

+

5

2x+3=x+5

2

+

3

−

3

=

+

5

−

3

2

x

+

3

−

3

=

x

+

5

−

3

2x+3−3=x+5−3

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

+

2

2

x

=

x

+

2

2x=x+2

3

Subtract

x

x

from both sides of the equation

2

=

+

2

2

x

=

x

+

2

2x=x+2

2

−

=

+

2

−

2

x

−

x

=

x

+

2

−

x

2x−x=x+2−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

The probability that out of 6 classes, 4 of them have male teachers can be calculated using the binomial probability formula.

To calculate the probability, we use the binomial probability formula: P(X = k) = (nCk) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful trials, p is the probability of success, and (nCk) represents the number of combinations.

In this case, we want to find the probability of having exactly 4 classes with male teachers out of 6 classes. Thus, n = 6 and k = 4. The probability of having a male teacher in a class is given as 38%, or 0.38.

Substituting these values into the binomial probability formula, we get P(X = 4) = (6C4) * (0.38^4) * (1-0.38)^(6-4).

Calculating the combinations and simplifying the expression, we have P(X = 4) = 15 * 0.38^4 * 0.62^2 ≈ 0.2619.

Therefore, the probability that out of 6 classes, 4 of them have male teachers is approximately 0.2619, or 26.19%.

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The conditional probability P(B|A) is approximately 0.83.

To find the conditional probability P(B|A), we can use the formula:

P(B|A) = P(A and B) / P(A)

Given that P(A and B) = 0.25 and P(A) = 0.30, we can substitute these values into the formula:

P(B|A) = 0.25 / 0.30

Performing the calculation:

P(B|A) = 0.8333...

Rounding the answer to two decimal places:

P(B|A) ≈ 0.83

Therefore, P(B|A) is approximately 0.83.

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Answer:

1. C= 2(pi)(d/2)

2. C= 2(pi)r

Step-by-step explanation:

The first answer is where you would have to find the radius of the circle if you know the diameter. And to find the radius, you would have to divide the diameter by 2 to get the radius. Welp.... I wish you luck! ;)

Answer:

The answer is 103,776

Step-by-step explanation: I took the k12 test.

The critical value that should be used in constructing the 90% confidence interval is 1.645.

To find the critical value, we need to use a standard normal distribution table or a calculator. Since we want to construct a 90% confidence interval, we need to find the critical value that leaves 5% in each tail of the distribution. The area to the right of the critical value (which is the same as the area to the left of the negative of the critical value) is 0.05.

Using a standard normal distribution table or a calculator, we can find that the critical value that leaves 5% in the right tail of the distribution is approximately 1.645 (to three decimal places). Therefore, the critical value that should be used in constructing the 90% confidence interval for the mean noise level at such locations is 1.645.

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Answer:

4

Step-by-step explanation:

20 = 2c + 12

20 - 12 = 2c

8 = 2c

2c = 8

c = 8/2 = 4

Answer:

20=2c+12

c=4

2c=8

20=8+12

Answer:

\(y=\frac{2}{3}x+2\)

Step-by-step explanation:

The equation for a line is:

y=mx+b

m=slope

b=y-intercept

x,y=(x,y) coordinate pair

Start by finding the slope. The equation for slope is...

\(Slope=\frac{y_2-y_1}{x_2-x_1}\)

Plug in the given coordinates into the equation

\(Slope=\frac{8-6}{9-6}=\frac{2}{3}\)

Now, we can use the slope and an x,y coordinate pair to find the y-intercept...

y=mx+b

6=2/3(6)+b

6=12/3+b

6=4+b

Subtract 4 from both sides

b=2

Therefore the equation is...

\(y=\frac{2}{3}x+2\)

Answer:

3.2

Step-by-step explanation:

Answer:

91/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines).

So, looking at the chart in the picture and description ^:

1) Corresponding

2) Vertical

3) Alternate Exterior

4) Alternate Interior

5) Consecutive Interior

Can't clearly read the numbers for 6 and 7.

Answer:

Step-by-step explanation:

Answer:

113 feet

Step-by-step explanation:

I will assume you meant h = -4.9t^2 + 135; "t2" is incorrect.

To answer this question, to find the height of the ball after 2.1 seconds, substitute 2.1 for t in the above equation:

h(2.1) = -4.9(2.1)^2 + 135.  This becomes -21.6 + 135, or 113.4.

The closest result to the height of the ball after 2.1 seconds is 113 feet.

Step-by-step explanation:

THE POINT WHERE

\(f( - 4) = ( { - 4})^{2} + 1 \\ f( - 4) = 16 + 1 \\ f( - 4) = 17\)

Now we have point (-4,17)

the gradient of the tangent line at that point of f(x) is the first derivative f'(x)=2x at that point

f'(x) =m

f'(-4)=2(-4)

f'(-4)=-8

The gradient therefore is -8

the general equation of a straight line is given by

\(y = mx + c \\ 17 = ( - 8)( - 4) + c \\ 17 = 32 + c \\ c = 17 - 32 \\ c = - 15 \\ \\ y = - 8x - 15\)

HOPE THIS HELPS!!

Answer:

Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:

2x + 31 = 7x - 24

-5x = -55

x = 11°.

Answer:

\(f'(x)=\displaystyle -\frac{e^x}{(1+e^x)^2}\cos\biggr(\frac{1}{1+e^x}\biggr)\)

Step-by-step explanation:

Recall the power series \(\sin(x)=\displaystyle \sum\limits^\infty_{n=0}(-1)^n\frac{x^{2n+1}}{(2n+1)!}\).

In this case, \(x\) is replaced with \(\displaystyle \frac{1}{1+e^x}\), so our power series actually works out to be \(\displaystyle \sin\biggr(\frac{1}{1+e^x}\biggr) =\sum\limits^\infty_{n=0}(-1)^n\frac{\bigr(\frac{1}{1+e^x}\bigr)^{2n+1}}{(2n+1)!}\)! Amazing, huh?

Now, we find the derivative of the function by using the chain rule:

\(\displaystyle \frac{d}{dx}\sin\biggr(\frac{1}{1+e^x}\biggr)=\frac{d}{dx}\biggr(\frac{1}{1+e^x}\biggr)*\cos\biggr(\frac{1}{1+e^x}\biggr)=-\frac{e^x}{(1+e^x)^2}\cos\biggr(\frac{1}{1+e^x}\biggr)\)

You didn't specify if you just wanted the derivative of the series to be a function or a series, so I'm going to assume you want the function. Let me know if there's more to your problem.

The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

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Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

2(x+5)=(x-4)  Equation/Question

Step 2

2(x+5)=(x-4)  Remove parenthesis

2x+10=x-4

Step 3

2x+10=x-4  Subtract 1x from sides

x+10=-4

Step 4

x+10=-4  Subtract 10 from sides

answer

x=-14

Hope this helps

\(\text {Hi There! Let's Solve this Problem!}\)

\(\text {\underline {The First Step is to Simplify}}\)

\(\text {2*x=2x}\\\text {2*5=10}\)

\(\text {Your New Problem Is: 2x+10=x-4}\)

\(\text {\underline {The Next Step is to Subtract x}}\)

\(\text {2x+10-x=x-4-x}\)

\(\text {Your New Problem Is: x+10=-4}\)

\(\text {\underline {The Final Step is to Subtract 10}}\)

\(\text {x+10-10 (Crosses Out)}\\\text {-4-10}\)

\(\text {Your Answer Would Be:}\)

\(\Huge\boxed {x=-14}\)

\(\text {Best of Luck!}\)

Answer:

1

Step-by-step explanation:

-3/4 \  - 3 1\4  = 1