Evi’s watch is water-resistant up to -15 feet. Mateo’s watch is water-resistant up to 8 times the depth of Evi’s watch. Mateo’s watch is water-resistant to what maximum depth?

The probability of P(X=3) = 0.3249. In summary, we can use the binomial probability formula to calculate the probability of obtaining exactly k=3 successes in a binomial distribution with n=6 trials and a probability of success p=0.47 on a single trial.

Using the binomial probability formula, the probability of getting exactly k successes in n trials is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Plugging in the values, we have:

P(X=3) = (6 choose 3) * 0.47^3 * (1-0.47)^(6-3)

Using the binomial coefficient formula (6 choose 3) = 6! / (3! * (6-3)!), we can calculate the probability:

P(X=3) = (6! / (3! * 3!)) * 0.47^3 * (1-0.47)^(6-3)

Evaluating the expression yields the probability of P(X=3) = 0.3249 (rounded to four decimal places).

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The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

Answer:

k=20/4 or 5

Step-by-step explanation:

k=y/x

k=40/8 or 60/12

k=20/4 or 5

Answer:

the second one

Step-by-step explanation:

Answer:

B,2, or the second one

Step-by-step explanation:

I think it is B because He walked to his home and thought about his day seems like it’s two words combined

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1. In 2008, there were approximately 28.2 million live Christmas trees sold in the U.S

2. The linear regression equation that models the set of data above is C = 0.28t + 27.28.

3. From 2004 to 2011, the number of Christmas trees sold in the U.S. increased by approximately 0.28 million trees each year.

4. In 2008, there were approximately 28.4 million live Christmas trees sold in the U.S.

5. Why is this the case: A. The data are not perfectly linear. The regression equation gives only an approximation.

By using the data values in the table, the number of live Christmas trees that were sold in the year 2008 can be calculated as follows;

t = 0 + (2008 - 2004) years.

t = 4 years.

At t = 4 years on the table, approximately 28.2 million live Christmas trees sold in the U.S.

Part 2.

Based on the table, we can logically deduce that the y-intercept or initial value is (0, 27.1).

y = mx + b ≡ C = mt + b

b = (547.6 - 538.6)/(105 - 72.2)

b = 0.28

Therefore, the required linear regression equation is given by;

C = 0.28t + 27.28

Part 3.

Based on the slope of the above linear regression equation, the number of Christmas trees sold in the U.S. from 2004 to 2011 increased by approximately 0.28 million trees each year.

Part 4.

For the number of live Christmas trees sold in year 2008, we have:

C(4) = 0.28(4) + 27.28

C(4) = 28.4 million.

Part 5.

The answers to parts 1 and 4 are different because the data set do not have a perfectly linear relationship and the linear regression equation gives only an approximated value, not an exact value.

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Answer: wow

               I'd want nothing more than to swim in a pool of saliva.

Answer:

It’s E. 64%

Step-by-step explanation:

Based on the number of people who had a car and the total number of people surveyed, the percentage is E. 64%

The percentage of students with a car is:

= Number of students with cars / Number of students in total x 100%

Solving gives:

= 60 / 94 x 100%

= 63.8%

= 64%

In conclusion, option E is correct.

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Answer:

i think it might be 5... if it is right lease give brainliest!

Step-by-step explanation:

Answer: 1=60°

Step-by-step explanation:

First, let's take our given angle of 30°

30° is in a right triangle, so the angles must be 90°, 60°, and 30°

Now the angle that is 45° makes angle 1 congruent to angle 60°

Meaning angle 1 is 60°

Answer:

m < 1 = 60

Step-by-step explanation:

Since the transversal is perpendicular to m,

it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.

We use vertically opposite angles property to bring m<1 in to the right triangle.

We now use the sum of interior angles property to obtain,

m < 1 + 30 + 90 = 180

This implies that,

m  < 1 + 120 + 180

We group like terms to obtain,

m < 1 = 180 - 120

This means that,

m < 1 = 60

We could have also used corresponding angles property, then

m < 1 + 30 = 90

m < 1 = 90 - 30

m < 1 = 60

The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

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Answer:

45?

Step-by-step explanation:

Answer:

Original Money Earned: $10,000

To increase this by 5 percent, we need to multiply $10,000 by 0.05 (5%).

$10,000 x 0.05 = $500

Allison makes $500 (5% of $10,000) per month, so you would add that to the sum of your answer after every previous month.

Now, let's add that.

Feb : $10,000 + 500 = $10,500

Mar : $10,500 + 500 = $11,000

Apr : $11,000 + 500 = $11,500

May : $11,500 + 500 = $12,000

Jun : $12,000 + 500 = $12,500

Jul : $12,500 + 500 = $13,000

Aug : $13,000 + 500 = $13,500

Sep : $13,500 + 500 = $14,000

Oct : $14,000 + 500 = $14,500

Nov : $14,500 + 500 = $15,000

Dec : $15,000 + 500 = $15,500

Allison can fill a series with a trend function in excel to calculate monthly income.

To calculate Allison's monthly income from February to December using Excel, you can use the fill series with a trend function.

1. Open a new Excel spreadsheet.
2. In cell A1, type "January" and in cell B1, type "$10,000" (without quotes) as Allison's January income.
3. In cell A2, type "February".
4. In cell B2, type the formula "=B1*1.05" (without quotes). This formula calculates the income for February by increasing January's income by 5 percent.
5. Click on cell B2 to select it, then move your cursor to the bottom right corner of the cell until the cursor changes into a small black cross.
6. Click and hold the left mouse button, then drag the cursor down to cell B12, which corresponds to December.
7. Release the left mouse button. Excel will fill the series with a trend, calculating the income for each month from February to December.

Hence, Excel is used to calculate Allison's monthly income from February to December, taking into account the expected 5 percent increase per month.

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Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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Answer:

= 0.2 pound per day

Step-by-step explanation:

This is a fraction equal to

1 pound ÷ 5 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 5

1 pound ÷ 5

5 days ÷ 5

=  

0.2 pound

1 day

=  

0.2 pound

day

= 0.2 pound per day

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

distance is 5 units

Step-by-step explanation:

plug in values

Answer:

10

Step-by-step explanation:

If there is 26 is in class a and altogether you get 36 you must take 26 from 36

Answer:

yes

Step-by-step explanation:

because the lines show that those two sides are congruent,  and because there are two congruent sides, then the third has to be the same to connect the triangles

Answer:

Yes.

Step-by-step explanation:

They have equal angles and line lengths

Answer:

80% :)

Step-by-step explanation:

If 20 = 100% (so here we use 20 as the total coz its ALL)

  16  =  ?  (cross-multiply)

16 * 100 = 1600

1600/20 = 80%

so you were right, unless the question was asking how many times he missed or smthing. but your answer is okay

Using the Central Limit Theorem, the formulas are given as follows:

The Central Limit Theorem states that a random variable X with mean \(\mu\) and standard deviation \(\sigma\) can have the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

A distribution of proportions, with a  proportion p in a sample of size n, also respects the Central Limit Theorem, as the the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation given as follows:

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Answer: I hope this is what you are looking for

Step-by-step explanation:

so the answer is

x=y +v/b

The distance between the ships is changing at a rate of approximately 0.370 knots at 6 PM.

The rate of change of the red car's speed along the road is undefined.

Here, we have,

Let's consider the position of the two ships at a given time t.

Ship A is located at coordinates (-40, 17t) (40 nautical miles due west of the starting point and moving west at 17 knots), and Ship B is located at coordinates (0, 16t) (moving north at 16 knots).

The distance between the two ships can be found using the distance formula:

d(t) = √((x_A - x_B)² + (y_A - y_B)²)

where (x_A, y_A) and (x_B, y_B) are the coordinates of ships A and B, respectively.

Substituting the coordinates, we have:

d(t) = √((-40 - 0)² + (17t - 16t)²)

= √(1600 + t²)

To find how fast the distance is changing, we differentiate the equation with respect to time:

d'(t) = (1/2)(1600 + t²)^(-1/2)(2t)

= t/(√(1600 + t²))

To find the rate at which the distance between the ships is changing at 6 PM, we substitute t = 6 into d'(t):

d'(6) = 6/(√(1600 + 6²))

= 6/(√(1600 + 36))

= 6/(√(1636))

≈ 0.370 knots

Therefore, the distance between the ships is changing at a rate of approximately 0.370 knots at 6 PM.

Regarding the police car and the red car scenario:

Let's denote the distance between the police car and the red car as D(t), where t represents time.

Initially,

D(0) = √((40²) + (200²)) = 20√41 feet.

We are given that the distance between the two cars is decreasing at a rate of 85 feet per second, which means that dD/dt = -85 feet per second.

We want to find the speed of the red car along the road, which we'll denote as V(t).

We need to determine dV/dt.

Using the Pythagorean theorem, we have:

D(t)² = (40 + V(t)t)² + (200 - V(t))²

Differentiating both sides with respect to time, we get:

2D(t)dD/dt = 2(40 + V(t)t)(V(t)) + 2(200 - V(t))(-dV/dt)

Substituting dD/dt = -85 and simplifying, we have:

-170D(t) = 2(40 + V(t)t)(V(t)) + 2(200 - V(t))(dV/dt)

Plugging in the values, we get:

-170(20√41) = 2(40 + V(t)t)(V(t)) + 2(200 - V(t))(dV/dt)

Simplifying, we can solve for dV/dt:

-340√41 = 2(40V(t) + V(t)²t) + 2(200 - V(t))(dV/dt)

dV/dt = (-340√41 - 2(40V(t) + V(t)²t))/(2(200 - V(t)))

To find the actual speed of the red car along the road, we need to evaluate dV/dt when t = 0.

Plugging in t = 0, we get:

dV/dt = (-340√41 - 2(40V(0)))/(2(200 - V(0)))

Given that V(0) = 200 feet per second, we can substitute this value:

dV/dt = (-340√41 - 2(40(200)))/(2(200 - 200))

= (-340√41 - 2(8000))/(2(0))

= (-340√41 - 16000)/0

Since the denominator is zero, the rate of change of the red car's speed along the road is undefined.

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Answer: $2.34 per ounce

Divide 15 ounces by the cost ($2.19) to get the unit price of $2.34

Answer:

(-0.8, 2.2)

Step-by-step explanation:

Where the two lines intersect is the solution to the System of Equations.

Answer:

the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left

Answer:

2

Step-by-step explanation:

100/5 = 20

x⁴ + 4 = 20

x⁴ = 20 - 4

x⁴ = 16

= 2 × 2 × 2 × 2

x⁴ = 2⁴

x = 2

Hence, the value of x is 2.

Answer:

9/8

5/4

Step-by-step explanation:

yan ang napili ko

Answer:

1. 5

2. -3

3. -4

4.  0

Step-by-step explanation:

Substitute the value of x in the equation with each of the x's given in the table.

Example:

When x = -1

y = -1^2 - 4 x -1 = 1 - 4 = -3

When x = 4

y = 4^2 - 4 x 4 = 16 - 16 = 0

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The inequality expression is 8.8t < 55 + 6.6t and your friend will be ahead for at most 25 seconds

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The given parameters are

Your rate, r1 = 6 miles per hour

Your friend's rate, r2 = 6.6 feet per second

Distance apart = 55 feet

Convert your rate to feet per second, we have

Your rate, r1 = 6 * 1.47 feet per second

Evaluate

Your rate, r1 = 8.8 feet per second

To calculate the time that your friend is ahead of you, we use the following expression

r1 * t < distance apart + r2 * t

So, we have

8.8t < 55 + 6.6t

Collect the like terms

So, we have

8.8t - 6.6t < 55

Evaluate the like terms

So, we have

2.2t < 55

Divide both sides by 2.2

So, we have

t < 25

Hence, the inequality expression is 8.8t < 55 + 6.6t and your friend will be ahead for at most 25 seconds

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Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.

Let's denote the running time of the algorithm for an input of size n as t(n).

For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:

t (1) = C1

For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.

Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.

Considering these factors, we can write the recurrence relation for the running time as:

t(n) = 2t(2n/3) + C2

Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:

c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2

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Answer:

1. LP

2. QR

3. LM

4. SNM

Step-by-step explanation:

hope this helps