There are 250 students who went to the homecoming dance, 300 students who went to the prom and 200 students who went to both dances. find the probability that someone went to homecoming or prom.

Answer:

a is the answer

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

my friend theres nothing on the world that will say that 96 - 15 = 9x

because 96-15= 81 and 81 + 15 equals 96

Answer:

see the attachment photo!

Statement A is correct: P(X < 5) is the same as P(X ≤ 5). In a continuous distribution, the probability that a random variable X is less than a specific value is the same as the probability that X is less than or equal to that value.

In a continuous distribution, the probability is associated with the area under the probability density function (PDF) curve. Since the PDF is a continuous function, the probability of any specific point having a non-zero probability is infinitesimally small. Instead, the probability is represented by the area between two values on the curve.

When considering P(X < 5), we are calculating the probability of X being less than 5. This involves calculating the area under the curve from negative infinity to 5, denoted as P(X ≤ 5). Since the probability of X taking any specific value is infinitesimally small, the area between X and 5 is essentially the same as the area between X and 5 plus the infinitesimally small region at X itself. Thus, the probabilities P(X < 5) and P(X ≤ 5) are equal in a continuous distribution.

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Given:

Lamont has purchased 20 trading cards.

He wants to have at least 50 trading cards.

To find:

The inequality for the number of trading cards Lamont needs and solve it.

Solution:

Let x be the number of trading cards Lamont needs.

He has 20 trading cards. So,

Total cards = x + 20

It is given that, he wants to have at least 50 trading cards. It means, total card must be greater than or equal to 50.

\(x+20\geq 50\)

Subtract 20 from both sides.

\(x+20-20\geq 50-20\)

\(x\geq 30\)

Therefore, the required inequality is \(x+20\geq 50\) and solution is \(x\geq 30\).

The number of trading cards that Lamont needs will be at least 30 trading cards.

From the information given, we are informed that Lamont has purchased 20 trading cards and wants to have at least 50 trading cards.

Therefore, the number that will be needed more will be:

= 50 - 20 = 30

Therefore, he'll need at least 30 more cards.

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The solution to the inequality expression x + 1 ≥ 3 and 4/3x < -8 in interval notation is (-6, 2]

The inequality expression is given as

x+1 >_ 3 or 4/3x < -8

Rewrite the given expression properly

So, we have the following representation

x + 1 ≥ 3 or 4/3x < -8

Evaluate the like terms in the above expression

This gives

x ≥ 2 or 4/3x < -8

Make the coefficient of x 1

So, we have

x ≥ 2 or x < -6

Rewrite as

2 ≤ x or x < -6

Combine the inequalities

2 ≤ x < -6

Express as interval

(-6, 2]

Hence, the solution is (-6, 2]

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Answer

Option A is correct.

The experiment had 6 treatments.

Explanation

The number of treatements multiplies the number of subsection under each section being tested for.

U

Answer:

5.

Step-by-Step explanation:

Distance = √ [(6-3)^2 + (8-4)^2) ]

= √(9 + 16)

= √25

= 5.

Answer:

y ≤ 2x-6

Step-by-step explanation:

First find the equation of the line

The y intercept is -6

The slope is 2

y = 2x-6

The line graphed is solid so we know that there is an equal sign

We are graphing below the line

y ≤ 2x-6

\(\huge\text{Hey there!}\)

\(\large\boxed{\mathsf{\dfrac{1}{2}a = 7}}\\\\\large\text{MULTIPLY 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{2\times\dfrac{1}{2}a= 2\times7}}\\\\\large\text{CANCEL out: }\rm{2\times\dfrac{1}{2}}\large\text{ because it gives you 1.}\\\large\text{KEEP: }\rm{2\times7}\large\text{ because it helps you get your a-value}\\\\\large\boxed{\mathsf{a = 2\times7}}\\\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{a = 14}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{a = 14}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

I would go with D

carried from place to place

I think that it is most likely D.

Answer:

It has no solution.

Answer:

Actually i think it does have a solution, if it does it would be a=1/4, 3

If i'm wrong i am very sorry..... So, if that not right then your answer is that it has no solution.....

Stay safe and have a Merry Christmas!!!!!!! :D

A bit is a unit of information in computing that can have two values, typically represented as 0 and 1. A bit string of length 9 is a sequence of 9 digits, each of which is either 0 or 1.

(a) How many bit strings of length 9 or less are there?

To find the number of bit strings of length 9 or less, we can sum the number of bit strings of each length from 0 to 9.

For a bit string of length 0, there is only one possible string - the empty string.

For a bit string of length 1, there are two possible strings - 0 or 1.

For a bit string of length 2, there are four possible strings - 00, 01, 10, or 11.

For a bit string of length 3, there are eight possible strings - 000, 001, 010, 011, 100, 101, 110, or 111.

And so on, up to length 9.

That is:

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256= 511.

There are 511 bit strings of length 9 or less.

(b) How many bit strings of length 9 or less are there, including the empty string of length zero?

To find the number of bit strings of length 9 or less, we can use the same method as above, but exclude the strings of length 10:

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256= 511

There are 511 bit strings of length 9 or less, including empty string.

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Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

x = 53.5°

Hope this helps... Have a good day!!

Answer:

56.25%

Step-by-step explanation:

First, we need to find the total number of possible outcomes. We do this by multiplying the total number of plants by the total number of pots like so...

4 * 4 = 16 outcomes

Now we need to do the same but removing the cactus and clay pot from the list...

3 * 3 = 9 outcomes.

Now, to find the probability we need to divide the number of outcomes that do not include cactus and clay pot by the total original number of outcomes.

9 / 16 = 0.5625 or 56.25%

Finally, we can see that the probability of not getting a clay pot or cactus is 56.25%

Answer:

9/16

Step-by-step explanation:

I got this answer from Khan Academy :)

Answer;

Explanation:

Here, we want to get the product of the given expression

Since the base are the same,, we use the indices rule which is:

We apply that in this same problem as follows:

Given the length and perimeter, the width of the rectangle is 38 inches.

Hence, option A) 38inches is the correct answer.

The perimeter of a rectangle is expressed mathematically as;

P = 2( l + w )

Given the data in the question;

Let "x" represent the width of the rectangle.

To determine the width of the rectangle, plug the given values into the formula above and solve for x.

P = 2( l + w )

220  = 2( (2x - 4) + x )

220 = 2( 2x - 4 + x )

220 = 2( 3x - 4 )

Apply distributive property

220 = 2( 3x - 4 )

220 = 2(3x) + 2(-4)

220 = 6x - 8

Collect like terms

220 + 8 = 6x

228 = 6x

6x = 228

x = 228/6

x = 38

Now, since "x" represent the width of the rectangle,

The width of the rectangle w = x = 38 inches.

Given the length and perimeter, the width of the rectangle is 38 inches.

Hence, option A) 38inches is the correct answer.

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well, for the piece-wise function, we'd like to know f(-2), or namely what is f(x) when x = -2?

well, f(x) is 2 for x = -1

f(x) is 4 for x > -1

keeping in mind that in the negative side of the number line, the closer to 0, the larger, thus -1 is much larger than -1,000, so  hmmm -2 is farther from 0 than -1 is, so -1 is larger than -2, so when x = -2, x < -1, and the function that applies when x < -1 is -(x+1)² + 4, so then

\(f(x)= \begin{cases} -(x+1)^2 + 4&\stackrel{-2}{x} < -1\\\\ 2&x=-1\\\\ 4&x > -1 \end{cases} \\\\\\ f(-2)\implies -(~~(-2)+1~~)^2 + 4\implies -(-1)^2+4\implies -(-1)(-1)+4 \\\\\\ -(1)+4\implies -1+4\implies \text{\LARGE 3}\)

Answer: f(-2)=3

Step-by-step explanation:

\(f(x)=\left\{\begin{array}{ccc}-(x+1)^2+4\ for\ x < -1\\2\ \ \ \ for\ \ x=-1\\4\ \ \ for \ \ \ x > -1\end{array}\right\)

\(-2\in(-\infty,-1)\\Hence,\)

\(f(-2)=-(-2+1)^2+4\\f(-2)=-(-1)^2+4\\f(-2)=-1+4\\f(-2)=3\)

Answer:

Its (1.0, 1.4)

Step-by-step explanation:

Cuz i said soo :3

Answer:

b

Step-by-step explanation:

just took the test : )

The required function is f(x) = \(\sqrt[3]{x-8}\) +3.

Given the curve of the function represented on the x-y plane.

To find the required function, consider the point on the curve and check which function satisfies it.

Let P1(x, f(x)) be any point on the curve and P2(0, 1).

1. f(x) = \(\sqrt[3]{x-8}\) +3

To check whether P2(0, 2) satisfies the equation by substitute x = 0 in the equation and check whether f(0) = 1.

f(0) = \(\sqrt[3]{0-8}\) +3.

f(0) = \(\sqrt[3]{-8}\) + 3.

f(0) = -2 + 3

f(0) = 1

This is the required function.

2. f(x) = \(\sqrt[3]{x - 3}\) +8

To check whether P2(0, 2) satisfies the equation by substitute x = 0 in the equation and check whether f(0) = 1.

f(0) = \(\sqrt[3]{0 - 3}\) + 8.

f(0) = \(\sqrt[3]{-3}\) + 8.

f(0) = \(\sqrt[3]{-3}\) + 8 ≠ 1

This is not a required function.

3. f(x) = \(\sqrt[3]{x + 3}\) +8

To check whether P2(0, 2) satisfies the equation by substitute x = 0 in the equation and check whether f(0) = 1.

f(0) = \(\sqrt[3]{0 + 3}\) + 8.

f(0) = \(\sqrt[3]{3}\) + 8.

f(0) = \(\sqrt[3]{3}\) + 8 ≠ 1

This is not a required function.

4. f(x) = \(\sqrt[3]{x+8}\) +3

To check whether P2(0, 2) satisfies the equation by substitute x = 0 in the equation and check whether f(0) = 1.

f(0) = \(\sqrt[3]{0+8}\) +3.

f(0) = \(\sqrt[3]{8}\) + 3.

f(0) = 2 + 3

f(0) = 5 ≠ 1

This is not a required function.

Hence, the required function is f(x) = \(\sqrt[3]{x-8}\) +3.

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The probability that the largest of n random samples is greater than the population median M is bounded above by\(1 - F(M)^(n-1) \times F(X(n))\).

Assumptions about the population and the sampling method.

Let's assume that the population has a continuous probability distribution with a well-defined median, and that we are taking independent random samples from this population.

Let \(X1, X2, ..., Xn\) be the random samples that we take from the population, where n is the sample size.

Let M be the population median.

The probability that the largest of these random samples, denoted by X(n), is greater than M.

Cumulative distribution function (CDF) of the population distribution to calculate this probability.

The CDF gives the probability that a random variable takes on a value less than or equal to a given number.

Let F(x) be the CDF of the population distribution.

Then, the probability that X(n) is greater than M is:

\(P(X(n) > M) = 1 - P(X(n) < = M)\)

Since we are assuming that the samples are independent, the joint probability of the samples is the product of their individual probabilities:

\(P(X1 < = x1, X2 < = x2, ..., Xn < = xn) = P(X1 < = x1) \times P(X2 < = x2) \times ... \times P(Xn < = xn)\)

For any x <= M, we have:

\(P(Xi < = x) < = P(Xi < = M) for i = 1, 2, ..., n\)

Therefore,

\(P(X1 < = x, X2 < = x, ..., Xn < = x) < = P(X1 < = M, X2 < = M, ..., Xn < = M) = F(M)^n\)

Using the complement rule and the fact that the samples are identically distributed, we get:

\(P(X(n) > M) = 1 - P(X(n) < = M)\)

= \(1 - P(X1 < = M, X2 < = M, ..., X(n) < = M)\)

=\(1 - [P(X1 < = M) \times P(X2 < = M) \times ... \times P(X(n-1) < = M) \times P(X(n) < = M)]\)

\(< = 1 - F(M)^(n-1) \times F(X(n))\)

Probability depends on the sample size n and the distribution of the population.

If the population is symmetric around its median, the probability is 0.5 for any sample size.

As the sample size increases, the probability generally increases, but the rate of increase depends on the population distribution.

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Answer:its 5

Step-by-step explanation: cuz

Answer:

4x+12 ≤ 0 or 4x+1>3

4x ≤ -12 or 4x+1 > 3

x ≤-3 or x >1/2

-3x+2y=23

Yes, the above equation is linear equation.