Calculate the result of applying a reflection across the x-axis to the vector [3 -4]

A. [3 4]
B. [-3 -4]
C. [-3 4]
D. [-4 3]

Step-by-step explanation:

21+3=24

1/3x+9=24

24-9=13

1/3x=13

13×1=13

3x=13

13/3=4.33

x=4.33

Step-by-step explanation:

2x+98=180° (angles in straight line )

2x=180-98

x=2/2

x=1

Answer:

x = 41

Step-by-step explanation:

the 2 angles are adjacent and sum to 180° , that is

2x + 98 = 180 ( subtract 98 from both sides )

2x = 82 ( divide both sides by 2 )

x = 41

The line of the  best fit for the data points plotted in the scatter plot is y = -0.88x + 8

From the question, we have the following parameters that can be used in our computation:

The graph

Using the line of the best fit, we have"

(x, y) = (8, 1) and (0, 8)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 8

Using the points, we have

1 = 8m + 8

This gives

m = -0.88

So, we have

y = -0.88x + 8

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Answer:

The answer is 45 degrees

Answer:

19

Step-by-step explanation:

The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.

The formula for binomial probability is:

\(P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\\)

where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.

The binomial probability formula can be used in a variety of applications, such as:

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Answer:

40

Step-by-step explanation:

the triangle with the missing lenght is being multiplied by 8. 5 times 8 is 40. have a good day

Answer: $82,000

Step-by-step explanation:

4000 multiplied by 9 equals $36000. Add 36000 to 46000 and you get $82000.

Answer:

for those that need the answer to the second step the answer is 4000t+46000.

Step-by-step explanation:

Answer:

(6,6)

Step-by-step explanation:

Hope this helps!

The area under the standard normal curve to the left of the given Z scores can be determined using a standard normal distribution table or a calculator. The values for the given Z scores are -0.2314, 0.9357, 0.8023, and 0.0475, respectively.

Given: Z values = -0.74, 1.51, 0.86, and -1.67

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.Using a standard normal distribution table or calculator, we can find the area to the left of each of these Z scores.

(a) Z = -0.74Using the standard normal distribution table or calculator, we can find that the area to the left of Z = -0.74 is 0.2314.

(b) Z = 1.51Using the standard normal distribution table or calculator, we can find that the area to the left of Z = 1.51 is 0.9357.

(c) Z = 0.86Using the standard normal distribution table or calculator, we can find that the area to the left of Z = 0.86 is 0.8023.

(d) Z = -1.67Using the standard normal distribution table or calculator, we can find that the area to the left of Z = -1.67 is 0.0475

The area under the standard normal curve is a common concept in statistics that involves the use of a standard normal distribution table or calculator.

This concept is used to determine the probability of a given value occurring within a normal distribution. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table or calculator, we can find the area to the left of a given Z score. The area to the left of a Z score represents the probability that a value is less than or equal to the given Z score.

For example, if the area to the left of a Z score of 1.5 is 0.9332, then the probability that a value is less than or equal to 1.5 is 0.9332.

To determine the area under the standard normal curve that lies to the left of a given Z score, we need to find the corresponding area in the standard normal distribution table or calculator.

For example, if we want to find the area to the left of a Z score of -0.74, we can use the standard normal distribution table or calculator to find that the area is 0.2314.

Similarly, we can find the area to the left of Z scores of 1.51, 0.86, and -1.67 by using the standard normal distribution table or calculator.

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Answer:

c = 11.46 yd

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ c² = (8.1)² + (8.1)²

→ c² = 65.61 + 65.61

→ c² = 131.22

→ c = √131.22

→ [ c = 11.46 yd ]

Hence, value of c is 11.46 yd.

Answer:

Step-by-step explanation:

Solution : Given that, n = 363 x = 171 = x / n =171 / 363 = 0.471 1 - = 1 - 0.471 = 0.529

The height of the radio tower is 327.3070 feet.

EXPLANATION

Let's first sketch the problem.

From the sketch above, adjacent = 46 θ=82

opposite = h (height of the radio tower.

Using the trigonometric ratio,

Cross-multiply

h ≈ 327.3070 feet.

Therefore, the height of the radio tower is 327.3070 feet.

Answer:

jzsjdjsndndjddjdbfhfbbfbfhhdhcx0

Step-by-step explanation:

hello hi

hi bye

Answer:

\( m\angle CBD = 35\degree \)

\( m\angle DBE = 92\degree \)

Step-by-step explanation:

\( m\angle CBD = m\angle FBG\)

(Vertical angles)

\( \because m\angle FBG = 35\degree \)

\( \therefore m\angle CBD = 35\degree \)

\( m\angle DBE +m\angle ABD= 180\degree \)

(Linear pair angles)

\( m\angle DBE +m\angle CBD + m\angle ABC = 180\degree \)

\( m\angle DBE + 35\degree + 53\degree = 180\degree \)

\( m\angle DBE + 88\degree = 180\degree \)

\(m\angle DBE = 180\degree -88\degree \)

\( m\angle DBE = 92\degree \)

Answer:

x=3.24

Step-by-step explanation:

cos(29)=x/3.7

x=3.7 cos(29)

x=3.24

Hope it helps!

Answer:

-3/2

Step-by-step explanation:

slope= rise/run = -60/40 = -6/4 = -3/2

Answer:

9/16 quarts of milk

Step-by-step explanation:

1/3 + 1/4 + 1/6

8/24 + 6/24 + 4/24

18/24 = 9/16 qts.

Your welcome!

Kayden Kohl

8th Grade Student

Answer:

f(66) = -3

Step-by-step explanation:

f(x) = 8 - x/6                     Substitute 66 for the vale of x and solve

f(66) = 8 - 66/6

f(66) = 8 - 11

f(66) = -3

The range of the import of goods is 13050.0 million CAD, IQR is 7869.75, and standard deviation is 2485.49. The distribution of data is moderately left-skewed.

Inflation in Canada (2010-2020), Unemployment rates in Canada (2010-2020), Import of goods (2010-2020) are the three variables under discussion.

The given three variables can be discussed as follows:Inflation in Canada (2010-2020): It is the dependent variable under discussion. The mean of the inflation in Canada (2010-2020) is 1.41%, the median is 1.32%, and the mode is 0.9%. The range of inflation is 4.96%, IQR is 0.61, and standard deviation is 1.28.

The distribution of data is moderately right-skewed.Unemployment rates in Canada (2010-2020): It is the independent variable. The mean of unemployment rates in Canada (2010-2020) is 7.53%, the median is 7.44%, and the mode is 7.4%.

The range of unemployment is 4.01%, IQR is 1.63, and standard deviation is 1.03. The distribution of data is almost normally distributed.Import of goods (2010-2020): It is also an independent variable.

The mean of the import of goods (2010-2020) is 41803.4 million CAD, the median is 40223.0 million CAD, and the mode is 40106.0 million CAD.

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Answer:

Below

Step-by-step explanation:

Value will be original value * ( 1 + i)^n      i = decimal annual interest

                                                                      n = years

  Value = 300 ( 1 + .07)^10 = 590.15  (dollars ?)

Answer:

-x-15

Step-by-step explanation:

Expand using the FOIL Method.

add me on Discord for step by step pls

\(\implies {\blue {\boxed {\boxed {\purple {\sf {-(x+15)}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

➺\(\:( {x}^{2} - 5)(x + 3) + (x + 4)(x - {x}^{2} )\)

➺\( \: {x}^{2} (x + 3) - 5(x + 3) + x(x - {x}^{2} ) + 4(x - {x}^{2} )\)

➺\( \: {x}^{3} + 3 {x}^{2} - 5x - 15 + {x}^{2} - {x}^{3} + 4x - 4 {x}^{2} \)

Combining like terms, we have

➺\( \: {x}^{3} - {x}^{3} + 3 {x}^{2} + {x}^{2} - 4 {x}^{2} - 5x + 4x - 15\)

➺\( \: - x - 15\)

➺\(\: - (x + 15)\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.

This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.

As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.

On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.

Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.

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The slope would be Zero.

on a graph the line would be horizontal.

Horizontal lines are zero and vertical ones are undefined.

Answer:

2(x-1)+3

Step-by-step explanation:

Lets solve it

\(\\ \rm\Rrightarrow 2(x-1)+3\)

\(\\ \rm\Rrightarrow 2x-2+3\)

\(\\ \rm\Rrightarrow 2x+1\)

Answer:

\(3 \: more \: than \: means \: add \: 3 \\ then \: 2(x - 1) + 3 \\ = 2x - 2 + 3 \\ =2x + 1 \\ thank \: you\)

Main Answer:The recurrence relation for the power series solution of the given differential equation is:   a_(n+2) = a_n / (n+2)

Supporting Question and Answer:

How can we find the recurrence relation for the power series solution of a differential equation?

To find the recurrence relation for the power series solution of a differential equation, we can assume the solution can be expressed as a power series and substitute it into the differential equation. By equating the coefficients of like powers of x to zero, we can derive the recurrence relation for the coefficients of the power series. This recurrence relation allows us to express the coefficients in terms of previous coefficients, providing a systematic way to compute the coefficients of the power series solution.

Body of the Solution: To find the recurrence relation for the power series solution of the differential equation y′′(1 - x)y = 0, we can assume that the solution can be expressed as a power series:

y(x) = ∑(n=0)^(∞) a_n x^n

First, to find the first and second derivatives of y(x):

y'(x) = ∑(n=1)^(∞) na_nx^(n-1)

=∑(n=0)^(∞) (n+1)×a_(n+1)×(x)^n

y''(x) =∑(n=2)^(∞) n(n-1)a_nx^(n-2)

= ∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^n

Now, substitute these expressions into the differential equation:

∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^n× (1 - x) × ∑(n=0)^(∞) a_n x^n = 0

Expand and collect terms:

∑(n=0)^(∞) [(n+2)(n+1)×a_(n+2) - (n+1)×a_n] ×( x)^n - ∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^(n+1) = 0

Now, equating the coefficients of like powers of x to zero:

For n = 0:

[(2)(1)×a_2 - (1)×a_0] = 0

a_2 = a_0

For n ≥ 1:

[(n+2)(n+1)×a_(n+2) - (n+1)×a_n] - (n+2)(n+1)×a_(n+2) = 0

a_(n+2) = (n+1)×a_n / ((n+2)(n+1)) = a_n / (n+2)

Final Answer: Hence, the recurrence relation for the power series solution of the given differential equation is:

a_(n+2) = a_n / (n+2);where a_0 is a constant representing the coefficient of x^0 in the power series solution.

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The probability of a contestant winning the grand prize after making eight selections is approximately 0.000181.

The probability of finding one prize in one selection is 5/30, as there are five prizes and 30 containers in total. After one prize has been found, there will be 4 prizes and 29 containers left, so the probability of finding another prize in the second selection is 4/29.

Similarly, the probability of finding a third prize in the third selection is 3/28, and so on. To find the probability of winning the grand prize, we need to multiply these probabilities together:

= \(\left(\frac{5}{30}\right)\left(\frac{4}{29}\right)\left(\frac{3}{28}\right)\left(\frac{2}{27}\right)\left(\frac{1}{26}\right)\)

= 0.000181

Therefore, the probability of a contestant winning the grand prize after making eight selections is approximately 0.000181, or 0.0181%. This is a very low probability, as the contestant only has a 1 in 5517 chance of winning the grand prize.

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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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Answer:

2/16

5/40

Step-by-step explanation: