12. Write the equation of a straight line that is parallel to y + 3x = 6 and thatpasses through the point (3,-4).a. y = 3x - 13b. y=-3x+13c. y = 4x +6d. y=-3x - 5e. y=-3x + 5

The probability that the site gets exactly 14 hits in a week is approximately 0.0523 or 5.23%.

To find the probability that a website gets exactly 14 hits in a week using the Poisson distribution method, follow these steps:
Step 1: Identify the given.
The average number of hits parameters per week (λ) is 10, and we need to find the probability of getting exactly 14 hits (x) in a week.
Step 2: Use the Poisson probability formula.
The formula for Poisson probability is:
P(x) = (e^(-λ) * (λ^x)) / x!
Where P(x) is the probability of getting x hits, λ is the average number of hits, e is the base of the natural logarithm (approximately 2.71828), and x! is the factorial of x.
Step 3: Plug in the given parameters.
In this case, x = 14 and λ = 10. Plug these values into the formula:
P(14) = (e^(-10) * (10^14)) / 14!
Step 4: Calculate the probability.
Use a calculator or a software to find the values:
P(14) = (2.71828^(-10) * (10^14)) / 14!
P(14) ≈ (4.53999e-05 * 1e+14) / 87178291200
P(14) ≈ 0.0523

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The exponential formula that shows population is y = y₀ (1.031)ˣ.

An exponential function is a function which can be defined as y = y₀ aˣ, Where 'x' is a variable and 'a' is a constant.

Given that,

The growth of population is exponential.

Also,

The initial population y₀ = 3190.

And after 4 year the population y = 3605.

Use exponential formula

y = y₀ aˣ     (1)

Where x = time

Substitute the values in the formula,

3605 = 3190 a⁴

3605/3190 = a⁴

1.13009  = a⁴

a = 1.031

Substitute the value of a in equation (1),

y = y₀ (1.031)ˣ

The required formula is y = y₀ (1.031)ˣ.

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Step-by-step explanation:

At t = 4   bird is at  6 m

at t= 14 bird is at 29 meters

   bird taveled  29 -6 = 23 meters   in 10 seconds

      velocity = 23 m / 10 s = 2.3 m/ s

The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm

Calculate the volume using the value 22/7. 

Step-by-step explanation:

Answer:

A.

3.25x + 13.50 ≤ 40

Step-by-step explanation:

Answer:

Jack = 30

Lacy = 15

Step-by-step explanation:

Let the age of Lacy be " x ".

Jack Is 2 times as old as lacy,

Age of Jack = 2 * Age of Lacy

Therefore,

Age of Jack = 2x.

8 years from now,

the age of Jack = 2x + 8

the age of Lacy = x + 8

8 years from now the sum of their ages will be 61,

2x + 8 + x + 8 = 61

2x + x + 8 + 8 = 61

3x + 16 = 61

3x = 61 - 16

3x = 45

x = 45 / 3

x = 15

The age of Jack

= 2x

= 2 * 15

= 30 years old.

The age of Lacy

= x

= 15 years old.

Hence,

Now,

the age of Jack is 30 years old.

the age of Lacy is 15 years old.

Answer:

12

Step-by-step explanation:

Mean = 3+22+0+15+9+23=72

72÷6 =12

The samples are {(H, R), (H, W), (H, B), (T, R), (T, W), (T, B)}. Thus, the correct option is D.

Given that:

A coin is tossed.

A spinner has 3 equal sections: Red, White, and Blue.

The samples are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The total number of samples is calculated as,

Total samples = 2 x 3

Total samples = 6

The samples are {(H, R), (H, W), (H, B), (T, R), (T, W), (T, B)}.

Thus, the correct option is D.

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To determine that an item is not in an unordered array of 100 items, total numbers of values which have to linear search examine on average is 100. The correct answer is C.

Linear Search is described as a sequential search algorithm which starts at one end and goes through each element of a list until the needed element is found, otherwise the search continues till the end of the data set. This is the simplest searching algorithm.

Starting at the beginning of the data set, each item of data is examined until a match is made. Once the item is found, the search ends.

Hence, in this case, since there are 100 items, then there will be 100 numbers of values.

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By finding the line and evaluating, we will see that x = 41/11

First, we need to get the line, for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

So here we use the points (-5, -6) and (1, 5), the slope will be:

a = (5 - (-6))/(1 - (-5) = 11/6

So the line is something like:

y = (11/6)*x + b

To get the value of b, we use one of the given points, for example if we use the second point we must have:

5 = (11/6)*1 + b

5 - 11/6 = b

30/6 - 11/6 = b

19/6 = b

So the line is:

y = (11/6)*x + 19/6

Now, to find the value of x, we replace y by 10:

10 = (11/6)*x + 19/6

60/6 - 19/6 = (11/6)*x

41/6*(6/11) = x = 41/11

So the person in the image got it correct, but with other method.

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Lines are colinear so slopes must be equal

Answer:

Step-by-step explanation:

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Using half-angle formula,  the positive value of tan(1/2y), in simplest radical form with a rational denominator, is √(1/11).

To find the value of tan(1/2y), we can use the half-angle formula for tangent:

tan(1/2y) = ±√((1 - cos(y))/(1 + cos(y)))

Given that cos(y) = 5/6, we can substitute this value into the formula:

tan(1/2y) = ±√((1 - 5/6)/(1 + 5/6))

          = ±√(1/6)/(11/6)

          = ±√(1/11)

Since we're looking for the positive value of tan(1/2y) with a rational denominator, the final answer is:

tan(1/2y) = √(1/11) / √(1)

          = √(1/11) / 1

          = √(1/11)

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Answer:

the answer is 2

Step-by-step explanation:

Bcz u choseine option and lose the next bet benefit

Answer:

5^3  y^5

125 y^5

Step-by-step explanation:

5y^3/(5y)^-2​

Distribute the exponent in the denominator

5y^3/(5 ^-2 y^-2)

A negative exponent in the denominator brings it to the numerator

5y^3 5 ^2 y^2​​

Combine like terms

5 * 5^2  * y^3 5^2

We know that a^b * a^c = a^(b+c)

5^(1+2) * y^( 3+2)

5^3  y^5

125 y^5

Answer:

5x+5=10

5x=10-5

5x=5

x=5/5

x=1

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve for x ~

therefore, value of x = 1 ~

Answer: it is a $16,000 increase

Answer:

Step-by-step explanation:

Answer:

2000 meters

Step-by-step explanation:

400 * 5

According to the information we can infer that the total yardage traveled from 0 to 120 seconds is 140 yards.

To calculate the total yardage traveled we have to consider the movement of the O'Connor Panthers. In this case we have to consider that the movement in the y axis.

In this case we can conclude that the total yardage traveled was 140 yards because:

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b.43 is the answer...........

Step-by-step explanation:

.

Answer:

At least 8.96 hours of sleep to be in the top 1%.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 7.45, \sigma = 0.65\)

How many hours of sleep to be on the top 1%?

The top 1% is the 100 - 1 = 99th percentile, which is X when Z has a pvalue of 0.99. So X when Z = 2.327. Then

\(Z = \frac{X - \mu}{\sigma}\)

\(2.327 = \frac{X - 7.45}{0.65}\)

\(X - 7.45 = 0.65*2.327\)

\(X = 8.96\)

At least 8.96 hours of sleep to be in the top 1%.

Answer:

2.31

.12

7.73

Step-by-step explanation:

σx¯=0.653–√0=0.12

By plugging all the numbers into the formula z=x¯−μσx¯ we find that

2.31=x¯−7.450.12

0.28=x¯−7.45

7.73=x¯

Step-by-step explanation:

Part a

P(x) = 0

150x - x^2 = 0

x(150-x)

x=0,150

Laura should sell 150 pies in order to "break-even" on her sales.

Part b

Because the maximum profit occurs at the vertex of the function,

x = -b/2a = -150/-2 = 75

P(75) = 150 * 75 - 75^2 = 5625

Laura maximizes her profit to $5625 when she sells exactly 75 pies.

Answer:

tax is .58

for the pillow so

8.58

Explanation:

The first card isn't put back or replaced, so we have 52-1 = 51 cards left over.

We have 4 queens and 52-4 = 48 non queens.

The probability of picking something that isn't a queen on the second selection is 48/51 = 16/17

\((\stackrel{x_1}{40}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{20}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{20}-\underset{x_1}{40}}} \implies \cfrac{ -2 }{ -20 } \implies \cfrac{ 1 }{ 10 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{ \cfrac{ 1 }{ 10 }}(x-\stackrel{x_1}{40})\implies {\Large \begin{array}{llll} y=\cfrac{1}{10}x+4 \end{array}}\)

Answer:

9

Step-by-step explanation:

36/4=9

Answer: C

Step-by-step explanation:

Please disregaurd this