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a submarine is located 358 feet below sea level. it ascends 169 feet. At what depth is the submarine now

A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as Simpson's paradox.

Simpson’s Paradox is an example of statistics that can be wrong. The paradox is defined as averages that can be silly and misleading. Sometimes they can be just plain baffling.

It is also called the Yule-Simpson effect which is an effect that occurs when the marginal association between two categorical variables is qualitatively different from the partial association between the same two variables after controlling for one or more other variables.

This result is often encountered in social science and medical science statistics and is particularly problematic when frequency data are unduly given causal interpretations.

It is a statistical phenomenon where an association between two variables in a population emerges or reverses when the population is divided into subpopulations.

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Answer:

Let's denote students in D = in the drama club , S = in a sports team

P(D) = 85/330

P(S) = 200/330

P(D and S) = 60/300

P(D or S) = P(D) + P(S) - P(D and S)  = 85/330 + 200/330 - 60/330 = 15/22

P(neither D nor S) = 1- 15/22 = 7/22

Step-by-step explanation:

Answer:

f(-5)=17

Step-by-step explanation:

Took the quiz.

The remainder theorem is an easy way of calculating the remainder from polynomial division.

The conclusion of remainder theorem, here is that: \(f(-5) = 17\)

We have:

\(\frac{f(x)}{x + 5}\) and a remainder of 17

The general rule of the remainder theorem is that:

For \(\frac{f(x)}{x + a}\) and a remainder of b

It means:

\(f(-a) = b\)

By comparing

\(\frac{f(x)}{x + a}\) and \(\frac{f(x)}{x + 5}\)

It means:

\(a = 5\) and \(b = 17\)

So:

\(f(-a) = b\) becomes

\(f(-5) = 17\)

Hence, the conclusion is that:

\(f(-5) = 17\)

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Answer:

answer is 20%!

Step-by-step explanation:

i took a test

Answer:

b. 20%

Step-by-step explanation:

You can do division to find the answers to questions like this.

Just ask how many times does 60 go into 300, and your answer is 5.

So it is 1/5 or 20%

The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

Given,The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam.

For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section.

The strength of an oak beam is 69, when the beam is 7 inches wide and 3 inches deep.Thus, we can conclude that k, a constant of proportionality exists, such that: S=k(W x D²), where W is the width, D is the depth of the rectangular cross-section and S is the strength of the beam.

Let's use this to calculate k: When the beam is 7 inches wide and 3 inches deep, S=69. Thus, we get:k = S/W x D²=69/(7 x 3²)=1.

Thus, the equation for S becomes:S = W x D²The radius of the oak tree is 28/2 = 14 inches and the beam must be 14 inches wide.

This implies that the rectangular cross-section of the beam must be square (or the largest rectangular cross-section is a square). Let the side of the square cross-section be x.

Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inchesWe need to determine the depth of the beam. The depth of the beam is half the height of the cylindrical log from which the beam is cut. The cylindrical log has a diameter of 28 inches. The beam has a width of 14 inches.

The largest rectangular cross-section is a square with sides of length x. This cross-section can be obtained by cutting the log at a height of x/2 from its center.Since the diameter is 28 inches, the radius is 14 inches. The height at which the beam is cut is h = 14 - x/2.

Thus, the depth of the rectangular beam cut from the cylindrical log is given by: D = 2(h) = 2(14 - x/2) = 28 - x.Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69Simplifying the above equation,x⁴ - 56x³ + 784x² - 69 = 0.

Using polynomial long division, we get:(x² + 16x - 69)(x² - 40x + 1) = 0The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.Therefore, the  answer is (b) S = 2231.

The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. Let the side of the square cross-section be x. Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inches. Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69.The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

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Answer:

2y=26, y=13

3x-(13)= -1, 3x=12, x=4

Answer:

2x + 9y + 5

Step-by-step explanation:

Combine like terms:

(6x - 4x) + (4y + 5y) + 5

2x + 9y + 5

Answer:

2, 9, 5

Step-by-step explanation:

These are the numbers to plug into this equation.

Answer:

a. The monthly payment of the 5-year loan would be the same as the monthly payment of the 4-year loan, since they have the same interest rate.

b. Since the 5-year loan has a longer repayment period, the total interest paid on the 5-year loan would be higher than the total interest paid on the 4-year loan. This is because interest is calculated based on the principal amount borrowed, and the longer the repayment period, the more interest will accrue.

As for the second part of the question, the length of the diagonal of a rectangle can be calculated using the Pythagorean theorem. In this case, the length of the diagonal would be:

Copy code

d = sqrt(20^2 + 15^2)

d = sqrt(400 + 225)

d = sqrt(625)

d = 25 feet

Therefore, the diagonal of the rectangular garden would be 25 feet long.

Answer:

A. a net

Step-by-step explanation:

I did the test

Answer:

do you know what coins they and how much their worth  if you do that is your answer

Step-by-step explanation:

Answer:

9x^8

Step-by-step explanation:

f(x) is a binomial.  Multiplying a binomial by itself results in a trinomial.  In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.

Here this is obtained by squaring the coefficient −3x^4.  We get"

(-3)^2*(x^4)^2  =  9x^8

We have to find the minimum number, k, of z in (a, b) such that g'(z) = 0. The function g is continuous on the interval [a, b] and is differentiable on (a, b). Suppose that g(x) = 0 for 4 distinct values of x in (a, b).

Let x1, x2, x3, and x4 be the four distinct values of x such that g(x) = 0.Now consider the following cases:Case 1: All four x1, x2, x3, x4 are local extrema of g(x).If this is the case, then g′(x1)=g′(x2)=g′(x3)=g′(x4)=0. Therefore, the minimum number, k, of z in (a, b) such that g′(z) = 0 is 4.Case 2:

There are less than four local extrema of g(x).In this case, by Rolle's Theorem, there exists at least one point z in (a, b) such that g′(z)=0. Since there are less than four local extrema of g(x), this point z is not equal to any of x1, x2, x3, and x4. Therefore, the minimum number, k, of z in (a, b) such that g′(z) = 0 is 1.In conclusion, the minimum number, k, of z in (a, b) such that g′(z) = 0 is either 1 or 4 depending on whether there are less than four local extrema of g(x) or all four x1, x2, x3, and x4 are local extrema of g(x).

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The mass of the original sample of phosphorus-32 was approximately 717.7 grams.

To solve this problem, we can use the radioactive decay formula:

A = Ao * 2^(-t/h)

Where:

A = resulting amount after time t

Ao = initial amount (at t=0)

t = time

h = half-life of the substance

In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.

After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:

55 = Ao * 2^(-57/14.28)

To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):

55 / 2^(-57/14.28) = Ao

Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.

Therefore, the initial mass, Ao, is:

Ao = 55 / 0.07666 ≈ 717.7 g

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Answer:

(5,-6) and (-5,-6) is the correct answer

Step-by-step explanation:

Eliminate incorrect answers

(-2,8)and (2,-8) are in the opposite direction not mirroring each other

(-7,-1) and (-7,1) are on the same x axis but to close to the y axis not mirroring

(4,-3) and (-3,4) is completely off and not mirroring

* Remember the first number in the parentheses moved on the x axis then the y

Hope this helps =)

plz mark Brainly

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

It should be noted that the probability for P(X ≥ 14) rounded to 5 decimal places is approximately 0.17026.

P(X ≥ 14) = P(X = 14) + P(X = 15) + ... + P(X = 22)

Let's calculate P(X ≥ 14):

P(X = 14) = (22 choose 14) * (0.20^14) * (0.80^8)

P(X = 15) = (22 choose 15) * (0.20^15) * (0.80^7)

P(X = 16) = (22 choose 16) * (0.20^16) * (0.80^6)

P(X = 17) = (22 choose 17) * (0.20^17) * (0.80^5)

P(X = 18) = (22 choose 18) * (0.20^18) * (0.80^4)

P(X = 19) = (22 choose 19) * (0.20^19) * (0.80^3)

P(X = 20) = (22 choose 20) * (0.20^20) * (0.80^2)

P(X = 21) = (22 choose 21) * (0.20^21) * (0.80^1)

P(X = 22) = (22 choose 22) * (0.20^22) * (0.80^0)

Calculating each probability and summing them up:

P(X ≥ 14) = P(X = 14) + P(X = 15) + ... + P(X = 22)

= 0.17026

Therefore, P(X ≥ 14) rounded to 5 decimal places is approximately 0.17026.

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The above graph represents Baile's Distance-Time Graph. The data on the graph came from her trip which is explained below.

A distance-time graph can be used to show the distance traveled by a straight-line moving object.

In a distance-time graph, the gradient of the line matches the item's speed. The gradient increases as the thing go faster (and the steeper the line).

So Bailey took off from her home on a power bike at the rate of 7.5 miles per hour. After 4 hours, she got to the bank to carry out an important transaction.

At the bank, she ended up spending two hours. Feeling frustrated for having wasted a lot of time at the bank, she took off to the Baseball game at a whopping 30 miles/hour.

As soon as she got to the game, she recalled that she forgot her ticket and turn back immediately traveling back home at the rate of 15 miles per hour.

Unfortunately, she decided to watch the rematch of the game online

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Answer:

3

Step-by-step explanation:

There are 3 because only numbers with values higher than 0 are counted, unless there is a decimal.

Becuase there is no decimal at the end of this number, there are only 3 counted. Those counted are 1 2 and 9, and all of the 0s dont count.

If there was a decimal at the end this number, it would have been 12

Answer:

3

Step-by-step explanation:

1,2,9

If is wrong i'm sorry

Answer:

206,700

Step-by-step explanation:

We know that the starting salary is $68,900. And we need to figure out the salary during a 3 years period. so we take the one year salary (68,900) and multiply that by 3, for the 3 years. (3 × 68,900) which equally 206,700 dollars.

Answer:

You have 24

Step-by-step explanation:

Answer:

Trevon is 15

Step-by-step explanation:

If Issac is 5 years older than Trevon, and the ratio is 4:3, then we can multiply one or both of them to be compared by.

If Issac is 10, for example, then Trevon would be 5, giving a 2:1 ratio

When we multiply the ratio, we eventually see a point where Issac's (first number) age is 5 more than Trevon's (second number) age:

( 4:3 ) 3 = 12:9
( 4:3 ) 4 = 16:12
( 4:3 ) 5 = 20:15

Issac is 20 and Trevon is 15

There's probably an easier way to solve problems like these but this was what came to mind at first hope this helps

Answer:

Trevon is 15

Step-by-step explanation:

let Trevon's age be x then Issac is x + 5

the ratio of Issac : Trevon = 4 : 3

set up a proportional equation

\(\frac{Issac}{Trevon}\) , that is

\(\frac{x+5}{x}\) = \(\frac{4}{3}\) ( cross- multiply )

4x = 3(x + 5)

4x = 3x + 15 ( subtract 3x from both sides )

x = 15

So Trevon is 15 and Issac is x + 5 = 15 + 5 = 20

For this problem we start from the equation given and susbtitute the conditions:

Now we complete the perfect square trinomials:

Now, we have arrived to the general form of an equation of a circle.

Answer: True.

Answer:

Follows are the description of the given point:

Step-by-step explanation:

Please find the correct question in the attached file.

In point A:

An order of 5 items shall be placed in a total of 6 different ways.  

(w for cars and ts and tricycles to be used)

\(\to 5w=20 wheels\\\\\to 4w+1t= 19 wheels\\\\\to 3w+2t=18 wheels\\\\\to 2w+3t=17 wheels\\\\\to 1w+4t= 16 wheels\\\\\to 5t=15 wheels\\\\\)

In point B:

2 waggons so more tyres would be required if they ordered any more waggons.  

\(work: \\\\ \to 2 \times 4=8 \\\\ \to 3 \times 3=9 \\ \\ \to 8+9=17\)

Answer:

w=4

Step-by-step explanation:

the slope is equal to the equation:

rise / run

-2 (slope) = 6 (rise) / x (run)

-2 = 6/x

-2x=6

x=-3

So now we know the run given the slope and rise which is -3.

7-3=4

therefore w=4

Answer:

21 is 75% of 28

Step-by-step explanation:

75% = 0.75

28(0.75) = 21

Answer:

It's described in the explanation

Step-by-step explanation:

Your picture only shows one number line that isn't correct.

The number line that is correct has a filled in dot and is pointing to the left.

The dot is filled in because the inequality is less than or equal to

Since it is less than, the arrow points to the left

Answer:

Well you only have one number line but I can tell you that if x is less than or equal to 0 then it will be a closed filled in dot that is on the number 0 and is going left because x is less than or equal to 0.

So it will look something like this. Look at the image below.