-2(2+8n)=92 CAN YOU PLEASE HELP ME FIND THAT MATH PROBLEM

Answer:

Midpoint of AB              = (0 + 2a / 2 , 0 + 0 / 2) = (2a / 2 , 0 / 2) = (a,0)

x coordinate of point c = a

                                  N = (0 + a / 2 , 0 + b / 2) = (a / 2 , b / 2)

                                  M = ( 2a + a / 2 , 0 + b / 2) = (3a / 2 , b / 2)

                                MA = √(3a / 2 - 0)² + b / 2 - 0)²

                                       = √(3a / 2 )² + (b / 2) = 9a² / 4 + b² / 4

                                NB = √(a / 2 - 2a)² + (b / 2 - 0 )²

                                      = √( a / 2 - 4a / 2)² + (b / 2 - 0)²

                                      = √(-3a / 2)² + (b / 2)² = √9a² / 4 + b² / 4

Step-by-step explanation:

I tried my best hope its correct :0

According to the information here is the frequency distribution table based on the given data:

Class Interval Frequency

45-54 1

55-64 4

65-74 11

75-84 16

85-94 12

95-104 3

105-114 3

To construct the frequency distribution table, we first determine the class intervals based on the given data. The class intervals used here are 45-54, 55-64, 65-74, 75-84, 85-94, 95-104, and 105-114.

Next, we count the frequency of occurrences within each class interval. For example, there is 1 value falling within the range of 45-54, 4 values falling within the range of 55-64, and so on.

By organizing the data in this manner, we can easily see the distribution of child births across different class intervals. This frequency distribution table provides a summary of the data, allowing us to analyze and interpret the information more effectively.

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The most important details are that a club consisting of 11 men and 12 women needs to choose a committee with one more women than the number of men on the committee, and that the sum of prime numbers that divide N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119. The sum of prime divisors of N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119.

A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. To find the sum of the prime numbers that divide N, the approach is as follows: Let k represent the number of men on the committee, then the number of committees with k men is given by: 12Ck  11C(k-1) + 12C(k+1)  11Ck + 12C(k+2)  11C(k+1) +  + 12C23  11C22. The sum of prime divisors of N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119. The answer is 119.

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Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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Answer:

$39

Step-by-step explanation:

Substitute 4 into the x variable in the equation. From there, multiply.

9.75 x 4 = y

y = 39

Answer: -7

Step-by-step explanation:

The equation is in slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept

Therefore, the m value is -7 and it is the slope

Answer: 40

Step-by-step explanation:

Answer: 20

Step-by-step explanation:
5x^2

5 ( 2 )^2 (substituting the value of x)

5 ( 2 x 2) (working out the exponents of x)

5 (4) (solving the brackets)

20

Answer:48.125

Step-by-step explanation:

This will give us a single value that is the best-predicted test score for a person who studies 4.5 years.

Based on the significant linear correlation between years of study and test scores, we can use regression analysis to find the best predicted test score for a person who studies 4.5 years. The regression equation can be represented as:

predicted test score = a + bx

where "a" is the y-intercept (the predicted test score when years of study is 0), "b" is the slope (the change in predicted test score for every additional year of study), and "x" is the number of years of study.

Assuming we have the necessary data and calculations for the regression equation, we can substitute x = 4.5 into the equation to find the predicted test score:

predicted test score = a + b(4.5)

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Answer:

There is about 4,164/4,165 chances of not getting getting a four of a kind. So, it is extremely unlikely or even borderline impossible in that situation to get a four of a kind.

But in the long run, it can be increased only if you keep drawing.  So, the awnser would have to be. D  

Step-by-step explanation:

A. It does mean that if you are dealt 4165 five‑card poker hands, one will be four‑of‑a‑kind.

B.  It does not mean that all will be four‑of‑a‑kind. The probability is actually saying that only on the 4165 the poker hand will you get a four‑of‑a‑kind, not just on any of the 4165 poker hands.

C. The probability is actually saying that in the long run, with a large number of five‑card poker hands, the fraction in which you will be dealt a four‑of‑a‑kind is 1 / 4165.

D. The chance you will be dealt four‑of‑a‑kind is 1 / 4165 only on the first hand. This chance will then increase with each new hand you are dealt until you eventually win

The area of one petal of the polar curve r = 5 sin 2θ would be 25π/4.

Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.

Then summing all those pieces' area gives us the area of the main big region.

The polar curve r = 5sin 2θ

When r = 0, θ = 0, π/2 which corresponds to one loop.

We need the limits to provide r=0 or cos(5x) =0 so:

Therefore the area of the region enclosed by this curve is

\(A = \dfrac{1}{2} \int\limits^a_b {r^{2} } \, d\theta \\\\\\A = \dfrac{1}{2} \int\limits^{\pi /2}_0 {25sin^{2}2\theta } \, d\theta \\\\\\A = \dfrac{1}{2} \times 25\int\limits^{\pi /2}_0 {sin^{2}2\theta } \, d\theta \\\\\\A = \dfrac{1}{2} \times 25\int\limits^{\pi /2}_0 \dfrac {1-cos^{2}4\theta } {2}\, d\theta\\ \\\\A = \dfrac{25}{2}( \theta - \dfrac {sin4\theta} {2})\, d\theta |^{\pi /2}_0\\\\\\A = \dfrac{25}{2} \times \dfrac{\pi }{2} \\\\\\A = \dfrac{25\pi }{4}\)

Thus, the area of one petal of the polar curve r = 5sin 2θ would be 25π/4.

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The equation relating L to D is; L = 9 + D

Please find attached the graph of L = 9 + D, created with MS Excel

An equation is a statement of equivalence between two expressions, and a function maps a value in a set of input values to a value in the set of output values.

The initial length of the road = 9 miles

The length of road the construction crew is adding each day = 1 mile

The length in mile of the road after D days = L

The equation for the length is therefore;

The graph of the length of the road can therefore be obtained from the equation for the length by plotting the ordered pairs obtained from the equation.

Please find attached the graph of the equation created using MS Excel.

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The probability exactly two of the appeals were successful is 0.9536

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

\(P(X=r)={}^{n}C_{r}(p)^r(1-p)^r\) where \(x=0,1,2,3.....\)

where,  n = number of trials (samples) taken = 10

            r = number of success

            p = probability of success which in our question is % of first-round

                  appeals that were successful, i.e.; 40%

So, here X ~ Binom(n=10 , p=0.40

Probability that at least two of the appeals will be successful = P(X>=2)

   P(X >= 2) = 1 - P(X = 0) - P(X = 1)

                    = 1 - \(^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}\)

                     = 1 - 0.00605 - 0.0403

                     = 0.9536

Hence, the probability exactly two of the appeals were successful is 0.9536

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Answer:

D

Step-by-step explanation:

You are looking for a triangle that has the sides 14mm and 15mm forming an angle of 100 degrees

First, you can eliminate A and B because they don't have an angle that is 100 degrees!

Now all you have left is C and D

In figure C, the sides 14 and 15 do not make up the angle of 100 degrees

But 14 and 15 make a 100 degree angle in figure D!

Therefore the answer is D

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:1/7

Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.

Answer:

142

Step-by-step explanation:

if m angle A = 109, then arc DCB = 2(109)= 218

360 - 218 = 142

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Answer:

6

Step-by-step explanation:

6 is the most common lol

Answer:

I'll say 5

Step-by-step explanation:

Hoped this helped!

The function family based on the information is a linear function.

A linear function is a type of mathematical function that has the form:

f(x) = ax + b

where a and b are constants, and x is a variable. The variable x is often called the independent variable, and the variable f(x) is called the dependent variable.

The value of a determines the slope of the line, while the value of b determines the intercept of the line with the y-axis. The slope of the line represents the rate of change of the dependent variable with respect to the independent variable, and the intercept represents the value of the dependent variable when the independent variable is zero.

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Answer: 98.6

Step-by-step explanation:

5.8 can be broken down into 5 & 0.8

17 timed 5 = 85

17 timed 0.8 = 13.6

85+13.6 = 98.6

Answer:

-3/9

Step-by-step explanation:

The equation would be: x * 9 + 5 = 2

Subtract 5 from each side: x * 9 = -3

Divide each side by 9: x = -3/9

I hope this helped, please mark Brainliest, thank you!!

Answer:

Hope this helps in every way!

The probability that the first two are red and the third is white is 9/55.

There are 9 red marbles and 3 white marbles in a box, and three marbles are drawn from the box one after the other. We must find the probability that the first two are red and the third is white.

There are a total of 12 marbles in the box. The first marble's probability of being red is 9/12, or 3/4. If a red marble is drawn, there will be 8 red marbles and 3 white marbles remaining in the box. The second marble's probability of being red is 8/11, since there are now 11 marbles left in the box, and 8 of them are red marbles.

Therefore, the probability of drawing two red marbles in a row is (3/4) × (8/11) = 24/44 = 6/11.

The probability of drawing a white marble on the third draw is 3/10 since there are now 10 marbles left in the box, and 3 of them are white marbles.

The probability that the first two are red and the third is white is thus (6/11) × (3/10) = 18/110 or 9/55.

Thus, the answer is 9/55.

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On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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The  smallest such $n$ is $12$.

To solve the problem, we can start by expanding $(n+r)^3$ and approximating it by ignoring the term $r^3$, since $r$ is small.

We  then want to find the smallest positive integer $n$ such that there exists a positive real number $r$ less than $1/1000$ satisfying the equation. We can try different values of $n$ starting from $n=1$ and incrementing by $1$ until we find a value of $n$ that works.

By  testing a few values, we find that $n=12$ works, giving us $1728 + 1296r + 324r^2$, which is less than $(12+1/40)^3$. Therefore, the smallest such $n$ is $12$.

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Answer:

-2x + 6

Step-by-step explanation:

Step 1: Write expression

3(x + 2) - 5x

Step 2: Distribute

3x + 6 - 5x

Step 3: Combine like terms

-2x + 6

Answer:

-2x+6

Step-by-step explanation:

first multiply the 3(x+2)

that equals 3x+6-5x

Add like terms

-2x+6