50,60,72 find the 8th term airthmetic and geometric sequence

The regular expression excludes strings like "1000" or "100000" because they have an even number of 0s following the 1.

The set of all bit strings made up of a 1 followed by an odd number of 0s can be represented by the regular expression:

1(00)*

Breaking down the regular expression:

1: The string must start with a 1.

(00)*: Represents zero or more occurrences of the pattern "00". This ensures that the 1 is followed by an odd number of 0s.

Examples of valid bit strings in this set include:

10

100

10000

1000000

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Answer:

see picture... In simpler terms, take each point and count Ys down to the line (P=1) (don't count the line) then count that many down from the line.
Works the same with vertical lines except do Xs not Ys.

Step-by-step explanation: given P=1... orange line is the origin, don't forget to count it

coordinates of old shape

red (-2,7)

green (-6,8)

Blue (-6,6)

Black (-4,4)

NEW SHAPE

red (-2,-4)

green (-6,-5)

blue (-6,-3)

black (-4,-1)

Answer:

0.68 because probability has to be out of 1, therefore 1 - 0.32 = 0.68

The diagram can be drawn as,

The surface area of the base is

The lateral surface area can be determined as,

The total surface area can be determined as,

Thus, the total surface area is 20 sq km.

Answer:

4 1/2 tiles are needed to cover this area

Step-by-step explanation:

Mathematically, the area of a parallelogram is the product of the base and the height

We have this as;

24 * 10 = 240 cm^2

So the area of a tile is this

The number of tiles that will cover the given area will be;

1080/240 = 4.5 tiles

The probability that Walmart's quality standard will be satisfied by average weight of a random sample of 10 bags of the Frito-Lay Fiery Mix Variety Pack is calculated using the properties of normal distribution.

The average weight of a random sample of 10 bags from the Frito-Lay Fiery Mix Variety Pack follows a normal distribution with the same mean as the individual bags (556.8g) but with a standard deviation equal to the original standard deviation divided by the square root of the sample size \(\(\frac{{1.2g}}{{\sqrt{10}}}\)\). To find the probability that the average weight falls within Walmart's demanded range (556g to 558g), we need to calculate the area under the normal curve between these two values.

To do this, we can standardize the values by subtracting the mean from each limit and dividing by the standard deviation of the sample mean. This will give us the z-scores for each limit. Using a standard normal distribution table or a statistical calculator, we can find the corresponding probabilities for each z-score. The probability between these two limits represents the chance that Walmart's quality standard will be satisfied.

Please note that the specific decimal value for the probability may vary depending on the z-table or calculator used, but it will typically be a small probability since the demanded range is relatively narrow.

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Answer:

A (3,1) B (1,4) C (4,3)

Step-by-step explanation:

Answer:

x = 15units

Solving steps:

QS = 16 + 9

QS = 25

Cos(QSR) = RS/QS

Cos(QSR) = x/25

Cos(RST) = ST/RS

\( \frac{x}{25} = \frac{9}{x} \)

=> \(x {}^{2} = 225\)

=> \(x = \sqrt{225} \)

=> x = 15

Answer: 12

Step-by-step explanation:

Because a translation is a rigid motion, we know that YZ corresponds to GH (and they will have the same length).

Now, we can the fact that EFGH is a rectangle to obtain that EF=GH=12 (since opposite sides of a rectangle are congruent)

Hence, YZ=12.

The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

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B and B simple math and simplification of the problems : (2x-5y)(2x-5y) and (x+7)(x+7)

The volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.


To find the volume of the solid, we can use the method of cylindrical shells. The region bounded by y = x^2 and y = 6 in the first quadrant is a parabolic shape above the x-axis.
To set up the integral for the volume, we consider an infinitesimally small vertical strip of thickness Δx at a distance x from the line x = -3. The height of the strip is given by the difference between the two curves: h = 6 – x^2. The circumference of the cylindrical shell is given by the formula 2πr, where r is the distance between x and the line x = -3, which is r = x + 3.

The volume of the infinitesimal shell is then given by dV = 2π(x + 3)(6 – x^2)Δx. Integrating this expression from x = 0 to x = 3, we obtain the volume V = ∫[0,3] 2π(x + 3)(6 – x^2)dx. Evaluating this integral, we find V ≈ 481.39 cubic units.
In summary, the volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.

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Answer:

Distance between -23 & 17 = 40

Step-by-step explanation:

Answer: the answer is 0=0

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:Step 1: Simplify both sides of the equation.

8x−5(4x+3)−(3−2x)=4−4(2x−3)−(9−3x)

8x−5(4x+3)+−1(3−2x)=4−4(2x−3)+−1(9−3x)(Distribute the Negative Sign)

8x+−5(4x+3)+(−1)(3)+−1(−2x)=4+−4(2x−3)+(−1)(9)+−1(−3x)

8x+−5(4x+3)+−3+2x=4+−4(2x−3)+−9+3x

8x+(−5)(4x)+(−5)(3)+−3+2x=4+(−4)(2x)+(−4)(−3)+−9+3x(Distribute)

8x+−20x+−15+−3+2x=4+−8x+12+−9+3x

(8x+−20x+2x)+(−15+−3)=(−8x+3x)+(4+12+−9)(Combine Like Terms)

−10x+−18=−5x+7

−10x−18=−5x+7

Step 2: Add 5x to both sides.

−10x−18+5x=−5x+7+5x

−5x−18=7

Step 3: Add 18 to both sides.

−5x−18+18=7+18

−5x=25

Step 4: Divide both sides by -5.

−5x −5 = 25 −5

x=−5

The probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

What is Poisson distribution?

The Poisson distribution refers to a probability distribution expressing the probability of a specific number of events occurring in a fixed interval of time, if these events occur with a known constant mean rate and independent of the occurrence of the last event.

P(E) = Probability of occurrence of E in a fixed interval 'x', with constant mean = \(\frac{e^{-mean}. mean^{x}}{x!}\)

Step-by-step explanation:

Let A be the number of lightning strikes in a year at the top of particular mountain. Here, A follows Poisson distribution with mean = 2.1.

According to the question, x = 4, mean = 2.1

Thus, putting it in the formula for Poisson distribution, we get:

P(A) = \(\frac{e^{-2.1}(2.1)^{4} }{4!}\) = \(\frac{0.122(19.44)}{24}\) = 0.098

=> P(A) = 0.098

Hence, the probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

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Answer:

twenty five square meters

Step-by-step explanation:

100 divided by four

The area of the given triangle is 87.55 square centimeter.

From the given triangle, base=17 cm and height=10.3 cm.

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here, area of a triangle = 1/2 ×17×10.3

= 87.55 square centimeter

Therefore, area of the given triangle is 87.55 square centimeter.

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Answer:

4x+4

Step-by-step explanation:

F(x)=3x+1, h(x)=x+3

f(x)+h(x) = 3x+1 +x+3

             =4x+4

Answer:

The digit 6 in 46.12 is in the tenths place. Therefore, 1/10 the value of 6 in 46.12 is simply 6/10 or 0.6.

Answer:

4050 cubic feet

Step-by-step explanation:

We would break this figure down into the square pyramid on the top and the cube on the bottom.

Volume of the cube:

l*w*h

= 15*15*15

= 3375.

Volume of the square pyramid:

a^2*(h/3)

= 15^2*(9/3)

= 225*3

= 675

Now we add the two to get the final answer:

3375+675=4050

The figure is 4050 cubic feet.

I hope this helped! :D

Answer:

Step-by-step explanation:

Cube:

Volume = length x width x height

V = 15 * 15 * 15

(Simplified version): 15³

V = 3,375ft³

Triangle:

Volume = 1/2 * base * height * length

V = 1/2 * 15 * 9 * 15

V = 1,012ft³

Add them both up to get our answer

3,375ft³ + 1,102ft³

4,477ft³

Therefore the volume of the figure is 4,477ft³

In a simple linear regression model, the standard error of the estimate (also known as the standard deviation of the residuals) measures the variability or scatter of the observed data points around the sample regression line.

It is an important measure of the accuracy of the regression model and helps us to estimate the uncertainty in making predictions.

If all of the data points fall exactly on the sample regression line, then the residuals (i.e., the differences between the observed values and the predicted values) will be zero for each data point. This means that there is no variability or scatter in the data points around the regression line, and hence the standard error of the estimate will also be zero.

However, this scenario is highly unlikely in real-world situations, as there will always be some random error or measurement noise that affects the observed data points. Therefore, it is important to interpret the standard error of the estimate in the context of the data and the regression model. A smaller standard error of the estimate indicates a better fit of the regression line to the data, whereas a larger standard error of the estimate indicates more variability or scatter in the data points around the regression line.

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The probability of the ball landing on a red slot on the next spin is still 18/38 or approximately 0.4737 or 47.37%.

The probability of the ball landing on a red slot on a single spin of a standard roulette wheel is 18/38 or approximately 0.4737 or 47.37%. This is because there are 18 red slots out of a total of 38 slots on the wheel.

The outcome of the previous 210 spins has no effect on the probability of the ball landing on a red slot on the next spin. Each spin is an independent event, and the probability of the ball landing on a red slot remains the same for each spin.

Therefore, even though the ball has landed on a red slot for the past 210 spins, the probability of it landing on a red slot on the next spin is still 18/38 or approximately 0.4737 or 47.37%.

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Answer:

Hey there. I will just tell u how to do it. First find the altitude of all the right angles triangles. Then find the area of the triangles and then add them. That will be the area of the quadrilateral.

Hope u can solve it!

Answer:

m=2

Step-by-step explanation:

Answer: its this

y = 1/4x +15

Answer:

slope = 1

y-intercept = (0 , -4)

x - intercept = (4 , 0)

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

Note that there is no number besides the x. When this happens, the slope is to be assumed as 1.

The number (and sign) that replaces the b is the y-intercept. In this case, it is (0 , -4).

The x-intercept is the point in which you intercept the y-line at 0. Plug in 0 for y, and solve for x:

0 = 1(x) - 4

0 = x - 4

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

x = 4

x-intercept = (4 , 0)

As given by the question

There are given that the expression

Now,

The value of the given expression is:

Hence, the correct option is C.