A drone descends into a mining
cave. The graph relates its distance
below ground to time. Write an
equation that describes the
relationship.
Distance (m)
oty
-250
-500
-750
-1000
Drone's Descent
1 2 3 4
Time (s)

The probability that at least one of them is defective if three units are picked at random is 0.8560.

We would define Ai as the event that the i th chosen unit is not defective, for I = 1, 2, 3. We are interested in P (A1 ∩ A2 ∩ A3). Note that

P(A1) = 95/100  

Given that the first chosen item was good, the second item will be chosen from 94 good units and 5 defective units, thus

P (A2 ∣ A1) = 94/99

Given that the first and second chosen items were okay, the third item will be chosen from 93 good units and 5 defective units, thus

P (A3∣ A2, A1) = 93/98

Thus, we have

P(A1∩ A2 ∩ A3) =  P(A1) P(A2∣ A1) P(A3∣ A2, A1)

=95/100*94/99*93/98

=0.8560

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Answer:  -29.3

Step-by-step explanation:  -7y + 2x

-7(-6.3) + 2(-7.4) = -29.3

If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.

Here we start with the polynomial:

\(f(x) = 2x^4 + 2x + 2\)

The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.

Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).

The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.

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The probability that exactly three of the marbles Shelby grabs are red is approximately 27.97%.

To find the probability that exactly three of the marbles Shelby grabs are red, we can use the formula for combinations and probability. The probability can be calculated as follows:

Probability = (Number of favorable outcomes) / (Total possible outcomes)

First, we'll find the total possible outcomes by using the combination formula, which is C(n, k) = n! / (k! (n-k)!) where n is the total number of marbles, and k is the number of marbles being grabbed.

Total marbles = 5 red + 3 green + 6 blue = 14 marbles
Total possible outcomes = C(14, 6) = 14! / (6! * (14-6)!) = 3003

Next, we'll find the number of favorable outcomes. To get exactly three red marbles, Shelby must grab 3 red marbles, 2 non-red marbles (green or blue), and 1 more non-red marble (green or blue). We'll find the combinations for each case and multiply them together.

Favorable outcomes = (C(5, 3) * C(9, 3)) = (5! / (3! * (5-3)!)) * (9! / (3! * (9-3)!)) = 10 * 84 = 840

Finally, we'll calculate the probability:

Probability = Favorable outcomes / Total possible outcomes = 840 / 3003 ≈ 0.2797 or 27.97%

So, the probability that exactly three of the marbles Shelby grabs are red is approximately 27.97%.

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Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

51

Step-by-step explanation:

1000×0.051=51 so your answer is 51

Answer:

1 is the answer.

Step-by-step explanation:

Eat berries and Creams.

Answer:

15/16 + 1/6

= 15 · 3/16 · 3 + 1 · 8/6 · 8

= 45/48 + 8/48

= 45 + 8 /48

= 53/48

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(16, 6) = 48. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 16 × 6 = 96. In the next intermediate step, the fraction result cannot be further simplified by canceling.

The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.

Now,

Hence, The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.

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Answer: y= -3(x+4)

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A kilogram is the same as 1,000 grams.

HTH :)

Answer:

540 SUV's

Step-by-step explanation:

Sales percentage of non SUV's = 100 - 60 = 40%

Let total cars be x

40% of x = 360

\(\dfrac{40}{100}*x=360\\\\\\x=360*\dfrac{100}{40}\\\\\\x = 900\)

Number of SUV's = Total cars -   number of non SUV's

                             = 900 - 360

                              = 540

The bottom right graph should be correct.

Answer:

Step-by-step explanation:

2x2=4 divided by 2 =2

2x2=4

2x4=8

2+4+8=14

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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To find the points (x, y) on the graph of f(x) = 2x^2 - 3x with tangent lines parallel to the line y = 5x + 6, we need to find the values of x where the derivative of f(x) is equal to the slope of the given line (which is 5).

The derivative of f(x) is f'(x) = 4x - 3.

Setting f'(x) equal to 5, we have:

4x - 3 = 5

Solving for x, we get:

4x = 8

x = 2

Substituting x = 2 into the equation f(x) = 2x^2 - 3x, we can find the corresponding y-value:

f(2) = 2(2)^2 - 3(2) = 8 - 6 = 2

Therefore, the point where the tangent line to the graph of f(x) is parallel to y = 5x + 6 is (2, 2).

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Answer: 86,676,480 Visitors!

Step-by-step explanation:

There are 1,440 minutes per day and if there are 60,192 visitors per day, by multiplying 1,440 by 60,192 you would get 86,676,480.

Answer:

a

Step-by-step explanation:

Answer: C  72=9÷1/8

I hope this helps:

Answer:

24

Step-by-step explanation:

The awnser is 24 because you have to multiple 6x4

Step-by-step explanation:

6x4=24

13:13

2 cubes=8

3-1=2

2 squared=4

4+1=5

5+8=13

Answer:

y=2x

Step-by-step explanation:

2-(-2)/3-1

4/2

2

Answer:

I think the answer is 2/1=2.

I hope this helps.\

Slope (m) =  2 / 1 = 2

ΔX = 3 – 1 = 2

ΔY = 2 – -2 = 4

Answer:

\(\frac{2}{n}\)

Step-by-step explanation:

\(\frac{2n}{n^2}\) (exponential rule for fraction is the number subtract each other)

\(2n^{-1}\) (from the top n exponent of 1 minus bottom exponent of2 (1-2=-1))

since the n is a -1 exponent to make it positive you put it in the denominator

\(\frac{2}{n}\)

(the reason it's not n/n^2 is that the two cannot just disappear or be taken away unless you are solving for something and the n/n^2 can also be simplified into the 1/n)

If you have a trend then the process is non-stationary, but if you account for the time trend, it's still stationary around the line.

What is Null hypothesis?

The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.

Consider the given process:

      \(x_{t} = c+\alpha x_{t-1}+\beta _{t} \\E[\beta _{t}]=0\\\)

Obtain mean,

     \(E[x _{t}]=\frac{c}{1-\alpha }\)

This works only when |α|<1. If α=1 this doesn't work, it blows up, because , \(E[x _{t}]\neq E[x _{t-1}]\) i.e. the process is not stationary.

The constant refers to the term c.

The trend is easy too:

    \(x_{t} +c+\alpha t+\alpha x_{t-1} +\beta_{t}\)

In this case,

  \(E[x _{t}]=\frac{c+\alpha t}{1-\alpha }\)

So, if you have a trend then the process is non-stationary, but if you account for the time trend, it's still stationary around the line.

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Answer:

b Ligers can't reproduce.

Step-by-step explanation:

just took the text

Answer:

its B

Step-by-step explanation:

its 100% sure

The constraint that reflects the statement "if project 1 is selected then project 2 must be selected" is x1 ≤ x2.

The constraint x1 ≤ x2 ensures that if project 1 is selected (x1 = 1), then project 2 must also be selected (x2 = 1).

This constraint imposes a logical relationship between the binary variables x1 and x2, indicating that the value of x2 should be at least as large as x1. If x1 is 0 (indicating project 1 is not selected), the constraint does not impose any specific condition on x2.

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Answer:

292,201,338 possible combinations powerball numbers

Step-by-step  explanation:

if your talking about altogether then 292,201,338 but if its specific you need to upload a screenshot of the options

Answer: Well there's no generic number, since the Powerball has so much numbers to choose from the ticket the variety of combinations could be infinte, but no one has time to count them all lol.

Step-by-step explanation:

I know this won't help so give the credit to the person that actually helps :)

Answer:

i would think 16

Step-by-step explanation:

12 ÷ 3 = 4

then add that to the 12 students

i hope this helps!

At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books if you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favontes Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth​

total books=32

the probability is equal to

P=(1/32)*(1/31)*(1/30)

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

If you wanna know how many beats are in a full minute, the answer is 156 beats

Step-by-step explanation:

1/6*6=1

26*6=156