•FIA: bid 2 =6
2- Given the 12 term of an arithmetic sequence which is 13
and d=2. Find the A1.

Answer:

vertex

Step-by-step explanation:

The rays that form an angle intersect at the vertex of the angle.

In linear function, 2027 is  the year in which the population will reach 15,000.

What is another name for a linear function?

A linear function, also known as a polynomial function of degree zero or one, is a function in calculus and related fields that has a graph that is a straight line.

                        The phrase "affine function" is frequently used to distinguish such a linear function from the other idea.

Let linear function

Since 2004

In 2004, t=0  ,P=6200

6200=a(0)+b

b=6200

In 2009, t=5 ,P =8100

8100=5a+6200

5a=8100-6200

5a=1900

a=1900/5

a=380

a)Substitute value of a and b in linear function equation .

    P = 380t + 6,200

B)In 2013 ,t =2013-2004=9

P=380(9)+6200

P=9620

C) P=15000

15000=380t+6200

380t=15000-6200

t=8800/380

t=23.16

t=23(nearest year)

Year=2004+23=2027

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The probability that there will be less than 4 defects in batch = 0.58

We need to find the probability that there will be less than 4 defects in batch.

Let us assume that x represents the number of defects in a batch and P(x) represents the probability of x number of  defects in a batch.

The probability that there will be less than 4 defects in batch.

i.e., P(x < 4) = P(x = 2) + P(x = 3)

Substitute values P(x = 2) = 0.35 and P(x = 3) = 0.23 in above equation we get,

P(x < 4) = 0.35 + 0.23

P(x < 4) = 0.58

Therefore, the required probability is 0.58

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Find the complete question below.

Answer:

Step-by-step explanation:

B( 3, -3) given the figure

B' ( 3, 3) because the x-axis intersects the mid point between B and B'

A) (x, y) reflected across x-axis becomes ( x, -y)

B) (x, y) reflected across y-axis becomes ( -x, y)

Answer:

DF is 3 and angle B is 28

Step-by-step explanation:

If both are congruent, the measurements are the same.

Answer:

DF = 3, Angle B = 28

Step-by-step explanation:

Look how the congruence statement is written. Ac goes with Df and angle E goes with angle B, so they are congruent.

Answer:

f(x) = 2x+5

f(3) = 2(3) +5 = 6+5 =11

There fore f(3) =11

The first function is correct

Step-by-step explanation:

Given f(2) =9 and given functions are f(x) = 2x+5 and f(x) =4x+5

The fsecond function is not satisfies f(2)=9 because

f(x) = 4x+5

f(2) = 4(2)+5 = 13≠9

f(x) = 2x+5

f(2) = 2(2)+5=9

therefore first function is satifies

f(x) = 2x+5

f(3) = 2(3) +5 = 6+5 =11

There fore f(3) =11

The characteristics of polynomial graphs' intercepts reveal the multiplicity's characteristics. The function is a potential representation of the graph; f(x) = x²·(x - a) (x - a) , ²·(x - b) (x - b),⁴·(x - c) (x - c).

The alternative provides a function that can represent a graph;

f(x) = x²·(x - a) (x - a)

²·(x - b) (x - b)

⁴·(x - c) (x - c)

Reason:

The graph's description is as follows:

Three points on the graph deviate from the x-axis.

Therefore;

The first equation is satisfied by the graph's even multiplicity at three places, such as x2, (x - a)2, and (x - b)4.

The graph once almost linearly crosses the x-axis.

Therefore;

The first equation's function contains a single zero or component, such as (x - c), so;

The function is a potential representation of the graph;

f(x) = x²·(x - a) (x - a)

²·(x - b) (x - b)

⁴·(x - c) (x - c).

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Answer:

B) 0.15 Pr (B)

Step-by-step explanation:

A is the event that a policyholder is classified as low-risk.

B is the event that a policyholder suffered a loss.

P(A∩B) is the probability that a low risk policyholder suffered a loss is 15%.

P(A∩B)= 15%= 15/100= 0.15

P(B∩A) is the  probability that a policyholder who suffered a loss is low-risk is = 5%= 5/100= 0.05

Intersection means finding those elements which are common to both sets. Now we have to find those elements of A which are common to B. This is already given in the statement above and is 15 %.

Hence

P(A∩B)= 15%= 15/100= 0.15

Choice B is the correct answer.

The Answer:

Width = 6

Step-by-step explanation:

Let width be w

(3w + 8) x w = 156

3 \(w^{2}\) x 8n - 156 = 0

(w + 8 x 6) (w-6) = 0

w = 6

9514 1404 393

Answer:

  120

Step-by-step explanation:

The number of permutations of 5 things taken 4 at a time is 120.

__

There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.

120 4-digit codes can be formed using odd digits with no repetition.

Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

Answer: 165 cm^3

Step-by-step explanation:

Formula:

V = (4/3)π r^3

Knowns:

r = 3.4

Work:

- (4/3)π 3.4^3 ≈ 164.64 cm^3

- Now, round .6 to a 1 because it is >4, this turns 164.64 cm^3 into 165 cm^3

Answer:

165 cm^3

Answer:

The probability is \(0.3935\)

Step-by-step explanation:

We know that the time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes.

Let's define the random variable ⇒

\(X:\) '' The time it takes a worker on an assembly line to complete a task ''

We know that \(X\) is exponentially distributed with a mean of 8 minutes ⇒

\(X\) ~ Exp (λ)

Where '' λ '' is the parameter of the distribution.

Now, the mean of an exponential distribution is ⇒

\(E(X)=\) 1 / λ  (I)

We have the value of the mean '' \(E(X)\) '' , then we replace that value in the equation (I) to obtain the parameter λ ⇒

\(8=\) 1 / λ  ⇒

λ = \(\frac{1}{8}\)

Then ,  \(X\) ~ \(Exp(\frac{1}{8})\)

The cumulative distribution function of \(X\) is :

\(F_{X}(x)=P(X\leq x)=0\) when \(x<0\) and

\(F_{X}(x)=P(X\leq x)=\) 1 - e ^ ( - λx) when \(x\geq 0\) (II)

If we replace the value of the parameter in (II) :

\(P(X\leq x)=1-e^{-\frac{x}{8}}\)  when \(x\geq 0\)

We need to calculate \(P(X<4)\)

Given that \(X\) is a continuous random variable :

\(P(X<4)=P(X\leq 4)\)

We use the cumulative distribution function to calculate the probability :

\(P(X\leq 4)=F_{X}(4)=1-e^{-\frac{4}{8}}=0.3935\)

The probability is \(0.3935\)

Answer:

$1,320

Step-by-step explanation:

~Multiply to find how much money he made that week

55 * 30 = $1,650

~Multiply by 20% then subtract

1,650 * 0.2 = 330

1.650 - 330 = 1,320

Best of Luck!

Answer:

$1320

Step-by-step explanation:

Without taxes and SSI, T'challa would make 55x30 = $1650.

20 % of 1650 is equivalent to 1/5 x 1650.

1/5 x 1650 = 1650/5 = 330

Therefore he makes 1650 - 330 = $1320

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Answer:

Total surface area = 1.8985 m²/mailbox × 1937 mailboxes = 3673.26 m²

Rounding up to the next square meter, the company will need 3674 square meters of aluminum to make these mailboxes.

Step-by-step explanation:

Based on the given dimensions, the surface area of one mailbox can be calculated as follows:

Surface area of the rectangular box: 2(0.6 m × 0.4 m) + 2(0.6 m × 0.55 m) + 2(0.4 m × 0.55 m) = 1.32 m²

Surface area of the half-cylinder top: (0.6 m × 0.55 m × 3.14) / 2 = 0.5785 m²

Total surface area of one mailbox = 1.32 m² + 0.5785 m² = 1.8985 m²

To make 1937 mailboxes, the total surface area of aluminum needed can be calculated by multiplying the surface area of one mailbox by the number of mailboxes:

Total surface area = 1.8985 m²/mailbox × 1937 mailboxes = 3673.26 m²

Rounding up to the next square meter, the company will need 3674 square meters of aluminum to make these mailboxes.

Answer:

Step-by-step explanation:

The domain includes all x values, and here, it is [-2, 4].

Final Answer: \(d = 33\)

Steps/Reasons/Explanation:

Question: Solve the equation \(\frac{d}{3} = 11\).

Step 1: Multiply both sides by \(3\).

\(d = 11\) × \(3\)

Step 2: Simplify \(11\) × \(3\) to \(33\).

\(d = 33\)

~I hope I helped you :)~

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

  y = (5/9)(x -2)(x +6)

Step-by-step explanation:

When a polynomial has a zero (p, 0), it has a factor (x -p).

The given zeros mean the factored form of the equation will be ...

  y = a(x -2)(x +6)

The given point will mean the value of 'a' will satisfy ...

  (x, y) = (3, 5)

  5 = a(3 -2)(3 +6) = 9a

  a = 5/9 . . . . . . . . . . . . . . divide by the coefficient of 'a'

The factored equation is ...

  y = (5/9)(x -2)(x +6)

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

first finish multiplying the signs that are out of the brackets

4-2+3-6

remember the BODMAS, addition comes first

4+5-6

9-6

3

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Step-by-step explanation:

Answer:

answer = 20

Step-by-step explanation:

5 X y^2 = 5 X 2^2

---> 5 X 4 = 20

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Answer:

There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

Step-by-step explanation:

The parameters of the music streaming service are;

The average number of households using Apple Music, \(\overline {X}_1\) = 1.73 million

The standard deviation, σ₁² = 0.46 million

The average number of households using Spotify, \(\overline {X}_2\) = 2.17 million

The standard deviation, σ₂² = 0.33 million

The significance level = 0.01

Hypothesis testing with different population standard deviation

\(Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }\)

H₀: \(\overline {X}_1\) ≠ \(\overline {X}_2\)

H₁:  \(\overline {X}_1\) = \(\overline {X}_2\)

\(Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923\)

p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714

Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis

We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

The percent error of the house of the pizza would be 2.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To determine the percent error, we will measure how much percent of the actual value, the error is, in the estimated value.

We have been given that House of Pizza says that their pizzas are 14 inches wide, but when measured, the pizza was 12 inches.

WE know that Error = Actual value - Estimated value

Then Error = 14 - 12 = 2

Therefore, the percent error would be 2.

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Gross Domestic Product (GDP) is a monetary measure of the value of all final goods and services produced within a region over a specific time frame, typically annually.

To compute the number of times larger Canada's GDP was than that of Palau in 2017, we must first convert both figures into the same currency.

Using the 2017 average exchange rate, we will convert the GDP of both nations from Canadian dollars and Palauan dollars to US dollars, which is the world's primary currency.  

Then we can compare these two figures. Let us assume that $1 CAD = 0.770838 USD and $1 PWD = 0.1200 USD:GDP of Canada in US dollars in 2017 = $1.653 trillion CAD x 0.770838 USD/CAD = $1.274 trillion USDGDP of Palau in US dollars in 2017 = $291.5 million PWD x 0.1200 USD/PWD = $34.98 million USDTo get the ratio between the two values, we will divide the GDP of Canada by the GDP of Palau:$1.274 trillion USD / $34.98 million USD = 36.4 (rounded to one decimal place)

Therefore, the gross domestic product of Canada in 2017 was 36.4 times higher than the gross domestic product of Palau in the same year.

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