what is the sum of -3x + 9x​

Answer: B.

Step-by-step explanation:

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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Answer:

a) 25

b) 64

Step-by-step explanation:

a) \(x^{2}\)

Substitute x for 5

= \(5^{2}\)

Simplify

=25

b) \((x+3)^{2}\)=

Substitute x for 5

=\((5+3)^{2}\)

Simplify

=\(8^{2}\)

=64

The domain of a set are the x component values for which the set exists

The x- components are {7, 1, -1}

The range are the corresponding values at the y components of the individual sets. This is expressed according to the set notation;

Range = {1, -8}

Hence;

Domain = {7, 1, -1}

Range = {1, -8}

Answer:

a. 5a + 3b-5

b. 4e^2 + f^2 + f

c. 42xy(z)^2

d. 7x(y)^2

Step-by-step explanation:

I added/subtracted/multiplied/divided like terms.

Answer:

8 squared units

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

Rectangle:

To find the area of the rectangle, we need to mutiply the base and the height. 3 units(base) x 2 units(height) = 6 squared units

Triangle:

To find the area of the triangle is very similar to finding the area of the rectangle. We need to multiply the base and the height and divide it by 2.

Base= 2 units(since it is a rectangle, the opposite side is the same length)

Height = 2 units

Next, we plug it in to this formula: 1/2 bh (b = base and h = height)

multiplying by one half is the same as dividing by 2

The area of the triangle is 2 x 2 = 4

4 divided by 2 = 2 squared units

For the final step, we add the areas together. (6+2 = 8) the label is very important (squared units)

cos B = \(\frac{BC}{BD}\) \(=\frac{4}{8}\) \(=\frac{1}{2}\)   c = [a2 + b2 - 2ab cos C] is the cosine formula used to determine the side of the triangle. a, b, and c are indeed the triangle's three sides. is that response accurate.

How do you calculate sin and cos B?

Formula: Sin (a,b) Cos

Sin a cos b = (1/2)[sin(a + b) + sin(a - b)] is the formula for sin a cos b. Whenever the composite angles (a + b) and (a - b) are available, as well as the quantities of degrees a and b, following equation for sin a cos b may be used.

How does the cosine rule work?

Every triangle that you would like to connect all 3 components to a single angle can benefit from the cosine rule. Knowing the other 2 aspects and indeed the opposing angle are necessary to determine the lengths of a side. It's edge a that you're looking for.

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Answer: These two equations represent two lines that intersect at a single point. Therefore, the classification of this system of equations is intersecting.

Step-by-step explanation:

Step-by-step explanation:

it's definitely intersecting each other

Answer:

4/12

Step-by-step explanation:

Based on a reaction rate coefficient of 0.2/day, the sewage's half-life is 3.46 days. If the starting amount of sewage was one unit, then there would be roughly 0.16 units remaining after 5 days.

The equation: can be used to determine the half-life (t1/2) of a chemical undergoing first-order decay.

t1/2 = ln(2) / k

where k is the reaction rate coefficient and ln(2) is the natural logarithm of 2.

Substituting k = 0.2/day into the equation, we get:

t1/2 = ln(2) / 0.2 = 3.46 days (rounded to two decimal places)

As a result, the sewage has a half-life of roughly 3.46 days.

We can apply the following equation to determine how much sewage would be left after five days:

N(t) = N0 * e(-kt)

where N(t) is the quantity of sewage still present at time t, N 0 is the quantity of sewage present at the beginning, and e is a mathematical constant roughly equal to 2.71828.

Since Suppose it is one unit (e.g. 1 kilogram, 1 gallon, etc.). The equation can then be changed to include N 0 = 1 and k = 0.2/day in order to find N(5):

N(5) = 1 * e(-0.2*5) ≈ 0.16 units (rounded to two decimal places)

Therefore, After 5 days, there would be about 0.16 units of sewage remaining.

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Answer:

A

Step-by-step explanation:

for a function there is only 1 output value for every input and the first option is the only one which meets that requirement

Answer:

g(x) = \(\frac{x+3}{x-3}\)

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = \(\frac{2x}{(x-3)}\)

g(x) = \(\frac{2x}{(x-3)}-1\)

      = \(\frac{2x-(x-3)}{(x-3)}\)

      = \(\frac{(x+3)}{(x-3)}\)

Therefore, g(x) = \(\frac{x+3}{x-3}\) will be the answer.

By using the concept of stratified sampling, it can be concluded that

In this situation, stratified sampling is used.

What is stratified Sampling?

Suppose, there is a population. If it is required to partition the given population into subpopulation, the sampling technique used in this case is called stratified sampling.

A tv station wishes to obtain information on the tv viewing habits in its market area. The market area contains one city of population 170,000 another city of 70,000, and four towns of about 5,000 residents each.

Here,  it is said that the station suspects that the viewing habits may be different in larger and smaller cities and in the rural areas.

So it is advantageous to partition the given population into subpopulation.

So stratified sampling must be used here.

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A relation that assigns to each element x from a set of inputs, or domain, exactly one element y in a set of outputs, or range, is called a  function.

This is further explained below.

Generally, A mathematical function from set X to set Y gives each element of X a unique value in Y. The set X is known as the function's domain and the set Y is its codomain. The original function was a simplification of the relationship between two variables.

In conclusion, A relation is said to be a function if it assigns precisely one element y from a set of outputs to each and every one of the domain's inputs.

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Answer:

This is the in and out box where you can plug in the numbers in the x box into the above equations.

y = 7(6) - 3

y = 39

y = 7(5) - 3

y = 32

y = 7(-9) - 3

y = -66

y = 7(1) - 3

y = 4

y = 7(2) - 3

y = 11

Answer:

y = 1/4x + 4

Step-by-step explanation:

y = mx + b

Since the lines are parallel, the slope is the same. m = 1/4

y = 1/4x + b

Substitute (4,5)

5 = 1/4(4) + b

5 = 1 + b

4 = b

The y-intercept is (0, 4).

y = 1/4x + 4

Answer:

100 ft

Step-by-step explanation:

We need to find the diagonal ( or hypotenuse)

We can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

80^2 + 60^2 = c^2

6400+3600 = c^2

10000 = c^2

Taking the square root of each side

sqrt(10000) = sqrt(c^2)

100 = c

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

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

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Answer:

I think It would be A but I'm not exactly sure

Answer:

It's d no. 5/ x - 2 is the answer of your question

with alpha = .01 the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of -2.769 and 2.769

To calculate the critical region boundaries for a two-tailed t-test with alpha = 0.01 and n = 16 subjects, we need to use the t-distribution table. The table will give us the critical values for the given alpha level and sample size. In the t-distribution table, look up the row that corresponds to alpha = 0.01 and n = 16. This will give us the critical values, which in this case are -2.769 and 2.769. Therefore, the two-tailed critical region for a t-test using a sample of n = 16 subjects would have boundaries of -2.769 and 2.769.

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Answer:

See below.

Step-by-step explanation:

So we have the expression:

\(\sqrt{125a^2b^2}\)

This is the same as:

\(=\sqrt{(5ab)^2\cdot5}\)

Expand:

\(=\sqrt{(5ab)^2}\cdot\sqrt5\)

The left term cancels:

\(=5|ab|\sqrt5\)

Note that we need the absolute value bars because if a and/or b was negative in the original equation, they will turn positive. Thus, to keep things consistent, we must use the absolute value to make sure that a and b stays negative :)

Answer:

there is  google!

Step-by-step explanation:

The circumference of a circle can be found by the formula

this can also be written in function of the diameter

From this formula we can find the diameter

Using the information given, the diameter of the circle is

Answer:

18.75

Step-by-step explanation:

5/v=2/7.5

2v=37.5

Answer:

\(n(x)=x-2\)

Step-by-step explanation:

You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:

Complete Question

Marcus is 5 5/24 feet tall. Ben is 5 5/16 feet tall. Which of the two boys is taller? Give your answer and complete the justification using decimal representations of the mixed numbers. Round decimal entries to four decimal places. (select) is taller because > .

Answer:

Of the two boys, Ben is taller

Step-by-step explanation:

For Marcus

Converting to decimal

5 5/24 feet tall = 5.2083 feet tall

For Ben

5 5/16 feet tall = 5.3125 feet tall

Hence, Of the two boys, Ben is taller

Answer:

18 students.

Step-by-step explanation:

Total amount is 100

Take 68 and add to 60 to get 128.

Subtract from both numbers until you get to 50.

68 needs 18 subtracted to get to 50.

60 needs 10 to get to 50.

18 plus 10 is 28, which is the excess.

Here, 18 people like only football.

Answer:

i think 40

if 68 =likes foot ball

&60=likes volley ball

here there are available the students that likes both because 68+60=128 but the students are 100 so the students that likes both are 128-100=28

threfore the students that like only football are 40

cause the 68 likes football & the28 likes only football

so to know how many students likek foot ball evaluate like this (68-28=40)

i hope helps you

Step-by-step explanation:

When X is - 5 then y is 3

When X is-1 then y is - 2

When X is 3 then y is -4

From the graph we get, when x is - 5 then y is 3, when x is -1 then y is - 2, and when x is 3 then y is -4.

A point is a dot in space used to indicate an exact location in space.

Consider the first line, which has constant y values. its x value ranges from -1 to negative infinity.

The second line is starts from (-1,-2) point and tend towards positive infinity but its y values and x values are varying.

Hence, when x = -5 y is 3 and at x = -1 the y values is -2. Similarly, when x = 3 then y = -4.

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Answer:

  A.  x → ∞, y → ∞

Step-by-step explanation:

You want the end behavior of the linear function illustrated in the table.

The table shows that y-values increase as x-values increase. That means the line has a positive slope.

The end behavior of any odd-degree polynomial will be a tendency toward infinity with the same sign as the leading coefficient (as x goes to +∞). It will tend in the opposite direction when x goes to -∞.

A linear function is a polynomial function of degree 1 (odd). This one has a positive slope (coefficient of x, leading coefficient), so will tend to +∞ as x goes to +∞.

  x → ∞, y → ∞