*How far can a train travel in 45 minutes if it is traveling at 80 miles per hour.

So the answers to the quartic equation would be x=3, x=3, x= -2 + √3, and x = -2 - √3

work backwards,

e.g. if you had a quadratic function whose zeros are 3 and -4, wouldn't you have two factors, namely

(x-3) and (x+4), and your equation would have to be y = a(x-3)(x+4) , where is a non-zero constant

which would have no effect on the solution.

so form the 4 factors from the given zeros, (yes , two of them are the same)

and y = a(...)(...)(...)(...)

Answer:

The probability of selecting a male is 0.3151.

The events "male" and "driver" are not independent.

The correct option is B.

Step-by-step explanation:

The missing data is as follows:

                    Female          Male          Total

Driver            32759          11715          44474

Passenger      6534           6361          12895

Total              39293         18076          57369

The complete question is:

Determine ​P(​male) and ​P(male​|driver​). Are the events ​"male​" and ​"​driver" ​independent?

Solution:

Compute the probability of selecting a male as follow:

\(P(M)=\frac{n(M)}{N}=\frac{18076 }{57369}=0.3151\)

Thus, the probability of selecting a male is 0.3151.

Compute the probability of selecting a male given that he is a driver as follows:

\(P(M|D)=\frac{P(M\cap D)}{P(D)}=\frac{n(M\cap D)}{n(D)}=\frac{11715 }{44474}=0.2634\)

Two events, say A and B, are independent if:

P (A|B) = P(A)

Here, P (M|D) ≠ P (M)

Thus, the events "male" and "driver" are not independent.

P(female)= .317

Determine P(femaleIpassenger)= .264

No. The occurrence of the event

​"passenger​" affects the probability of the event ​"female​."

The equivalent fraction is 1/-3, so the correct option is D.

We define a fraction as the quotient of two integer numbers a and b, such that is written as:

a/b

Now, a negative fraction can be written in multiple forms, these are:

-(a/b)

(-a)/b

a/(-b)

All these ways are equivalent ways of writing the same fraction.

Then for our fraction -1/3, we can just move the negative sign to the denominator, so we get:

-1/3 = 1/-3

This, we can conclude that the correct option is D.

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Answer:

\(f(0) = 0\)

Step-by-step explanation:

Given

See attachment

Required

Determine f(0)

To solve for f(0), we make use of:

\(f(t) = \frac{t^3}{t + 9}\)

Because: \(t \ge -2\) is true for \(t =0\)

So, we have:

\(f(t) = \frac{t^3}{t + 9}\)

\(f(0) = \frac{0^3}{0 + 9}\)

\(f(0) = \frac{0}{9}\)

\(f(0) = 0\)

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Because the graph only intercepts the x-axis only once, the equation has only one solution. The correct option is the second one.

Here we want to see, based on a graph, how many solutions does the cubic equation:

x³ + 6x² + 12x +8 = 0

The graph of the function:

g(x) = x³ + 6x² + 12x +8

Can be seen below, the number of real solutions that the equation:

x³ + 6x² + 12x +8 = 0

has, will depend on how many times the graph intercepts the x-axis.

We can see that there is only one intercept, so there is one real solution.

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A prime number is a special number because it means that it only has one factor pair and that factor pair is always 1 and the number itself.

In other words, prime numbers are the numbers

divisible by 1 and the number itself.

For example, let us take 2.

2 has only two factors and those are 1 and 2 so it's prime.

Similarly, 7 is also a prime number because it has only two factors

and these are 1 and the number itself which is 7.

Answer:

A number that is only divisible by itself and 1

Step-by-step explanation:

Answer:

7 dollars and 77 cents

Step-by-step explanation:

Can i get brainliest??

Answer:

$ 7 . 77

Step-by-step explanation:

49.77 - 42 = 7.77

Hope this helps dude

Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

Answer:

It would be three coconuts hope this helped

Step-by-step explanation:

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

The missing length of the right triangle is 13.41 inches.

A right angle triangle has one of its angles as 90 degrees.

The side length of a right triangle can be found using Pythagoras theorem.

Therefore,

c² = a² + b²

where

Therefore,

x² = 18² - 12²

x² = 324 - 144

x² = 180

x = √180

x = 13.416407865

x = 13.41 inches

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c. $1,293.40 is the Santos's monthly Social Security benefit, after delaying collecting for 2 years.

If Santos delays collecting his Social Security benefits for 2 years, he will be eligible for delayed retirement credits. The amount of the increase depends on his birth year and the specific rules in place at the time. As of my knowledge cutoff in September 2021, for individuals born in 1943 or later, the delayed retirement credit is 8% per year for each year of delay beyond full retirement age.

Assuming Santos's original benefit at full retirement age was $1,115.00, we can calculate the increase after a 2-year delay:

Increase = Original Benefit * (Delayed Retirement Credits per year * Number of years of delay)

Increase = $1,115.00 * (0.08 * 2)

Increase = $1,115.00 * 0.16

Increase = $178.40

To calculate Santos's monthly Social Security benefit after the 2-year delay, we add the increase to his original benefit:

New Benefit = Original Benefit + Increase

New Benefit = $1,115.00 + $178.40

New Benefit = $1,293.40

Santos's monthly Social Security benefit, after delaying collecting for 2 years, would be approximately $1,293.40. Therefore, Option c is correct.

The question was incomplete. find the full content below:

Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.

a. $1,156.90

b. $1,209.35

c. $1,293.40

d. $1,315.50

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Answer:

the middle term = 70x⁴y⁴

Step-by-step explanation:

Given;

(x+y)⁸

This expression can be expanded as follows, using Paschal triangle;

                                                 1      1

                                               1    2     1

                                             1     3      3      1

                                         1     4       6      4     1

                                    1       5     10    10       5    1

                            1           6      15     20     15     6        1

                    1            7         21      35     35      21     7          1

        1                 8          28        56     70     56    28       8         1

At level 8, the middle coefficient is 70

Also the power of x and y will be equal in the middle term = A(xⁿ yⁿ)

A = 70 ,

n +n = 8

n = 4

Thus, the middle term = 70x⁴y⁴

The most appropriate unit for Nathan to use instead of centimeters per minute is centimeters per year.

An earthquake simply means a rapid motion of the solid layer of the Earth.

In this case, Nathan told his brother that up until a 7.8-magnitude earthquake hit Nepal in 2015, Mount Everest had been moving northeast at a rate of 7.7×10^-6 centimeters per minute.

Since the year is being discussed, the unit should be based on the year.

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Answer:

I don't know

Step-by-step explanation:

EDITED: Answer: Phillip can order 12 different ways of ice cream.

Step-by-step explanation:

Ahem.

He can only have Vanilla or Chocolate. So let's pet them in a separate Row.

Vanilla

Chocolate

1.With Sprinkles

2.With Almonds

3.With Hot Fudge

4.With Sprinkles and Almonds

5.With Sprinkles and Hot Fudge

6.With Almonds and Hot Fudge

Answer:

Hello! answer: 80

Step-by-step explanation:

8 × 4 = 32 32 ÷ 2 = 16 16 × 4 = 64

4 × 4 = 16 64 + 16 = 80 therefore 80 is the answee Hope that helps!

Answer:

\(80~in^2\)

-----------

----------------------

hope it helps...

have a great day!!

Answer:

1 and 2

Step-by-step explanation:

if you flip T2 it will look like T1

Answer:

The correct answer is a D

Step-by-step explanation:

if you look at figures 1 and 3 they are the same only that 3 is bigger

Answer:

Savings Account

Investment Account

a) The mean rainfall from seeded clouds exceeds 25 acre-feet is 1.99

b) As per the normal distribution, with the significance level 0.05 the rainfall is normally distributed.

c) The power of the test if the true mean rainfall is 27 acre-feet is 23.5%

d) The sample size would be required to detect a true mean rainfall of 27.5 acre-feet if we wanted the power of the test to be at least 0.9 is 28 clouds

e) The upper bound is greater than 25 acre-feet, we can support the claim that the mean rainfall from seeded clouds exceeds 25 acre-feet with a level of confidence of 99%.

a) To support a claim that mean rainfall from seeded clouds exceeds 25 acre-feet, we can perform a one-tailed hypothesis test with a significance level of α = 0.01.

Substituting the values, we get:

t = (25.96 - 25) / (4.48 / √20) = 1.99

b) To test if the rainfall is normally distributed, we can perform a normal probability plot and a Shapiro-Wilk test.

Using software, we can create a normal probability plot and perform the Shapiro-Wilk test.

The Shapiro-Wilk test also does not reject the null hypothesis that the data is normally distributed at a significance level of α = 0.05, we can assume that the rainfall data is normally distributed.

c) To compute the power of the test if the true mean rainfall is 27 acre-feet, we can perform a one-tailed hypothesis test with a significance level of α = 0.01. The null hypothesis H0 is that the mean rainfall is less than or equal to 25 acre-feet, and the alternative hypothesis Ha is that the mean rainfall is greater than 25 acre-feet.

Substituting the values, we get:

t = (25.96 - 27) / (4.48 / √20) = -1.43

Using software or a t-distribution table, we find that the probability of rejecting the null hypothesis when the true mean is 27 acre-feet is 0.235. Therefore, the power of the test is 0.235 or 23.5%.

d) To determine the sample size required to detect a true mean rainfall of 27.5 acre-feet with a power of at least 0.9, we can use power analysis.

Substituting the values, we get:

d = (27.5 - 25) / 4.48 = 0.56

Therefore, a sample size of at least 28 clouds would be required to detect a true mean rainfall of 27.5 acre-feet with a power of at least 0.9.

e) To answer the question in part (a) by constructing a one-sided confidence bound on the mean diameter, we can use a one-sided confidence interval with a level of confidence of 99%.

Substituting the values, we get:

x + tα,df * (s / √n) = 25.96 + 2.861 * (4.48 / √20) = 27.23

This means that we can be 99% confident that the true population mean rainfall from seeded clouds is greater than 27.23 acre-feet.

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Answer:

83 There is an elixir

total quantity of elixir = 500 mL

quantity of elixir use in one dose = 6 mL

number of dose in 500 mL = 500/6

83.333

Answer:

The Answer is A. a cylinder                          

The square must be on the y axis in some way, and the square must be oriented such that its sides are parallel to the x and y axis. Rotating said square around the y axis will form a cylinder. Think of a revolving door. The door is the square while it sweeps out a 3D cylinder shape/space as it rotates around. Another example would be a fan or turbine that rotates in a similar fashion.

Answer:

  an = 40 -7(n -1)

Step-by-step explanation:

The given sequence has terms with a common difference, so it is an arithmetic sequence. The formula for the general term of an arithmetic sequence applies:

  an = a1 +d(n -1)

__

The first term of the given sequence is ...

  a1 = 40

The common difference for this sequence is ...

  d = 33 -40 = -7

Using these values in the equation for the n-th term, we have ...

  an = 40 -7(n -1) . . . . . explicit formula for the n-th term

Answer:

Step-by-step explanation:

C E F or just E and F

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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