n+2.1 - 12
what is it​

Answer:

B. sammy can use the distance formula to show that all sides are equal

Step-by-step explanation:

Short explanation: I took the test

Actaul explantion:

- Hi! ive been having trouble submitting my answer recently (and for what reason, i have no clue) but attached is the full explantion with step by step help on why the answer is the answer!

- i hope you take the time to read it!

- I hope this helped!! thank you so much for reading my answer :))                 ~addison~

Answer:

Step-by-step explanation:

Sammy can use the distance to show opposite sides have equal slopes

Absolute increase in population will be 2050

And percentage increase will be 56.94 %

We have given population in 2005 is 3600

And population in 2011 is 5650

So absolute increase in population = 5650-3600 = 2050

We have to find the percentage increase in population

So relative percentage increase in population will be 2050/3600 *100 = 56.94  %

So population will increase by 60 %

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Answer:

y=3x-2

Step-by-step explanation:

We know the equation ends in -2 because when x is zero, y is -2

To find the rest of the equation take any other point and take away the -2 from y

Then divide the y by the x to see how may times larger (or smaller) the y is then the x

(I chose -14)

-12÷-4=3

y=3x

the put the -2 back at the end because otherwise, your -14 would be a -12 and that is not a point on the table

I take it it means "increase 80 by 25% of itself", so

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 80}}{\left( \cfrac{25}{100} \right)80}\implies 20\hspace{5em}\underset{ increased }{\stackrel{ 80~~ + ~~20 }{\text{\LARGE 100}}}\)

5/6  is the desired probability.

To calculate the probability that at least one gift will be delivered correctly, we can use the concept of complementary probability.

First, let's determine the total number of possible outcomes,

There are 3! (3 factorial) ways to distribute the gifts, which equals 3 x 2 x 1 = 6.

Next, let's calculate the number of favorable outcomes, which represents the number of ways at least one gift can be delivered correctly.

Finally, we can calculate the number of favorable outcomes by subtracting the number of outcomes where all gifts are delivered incorrectly from the total number of outcomes: 6 - 1 = 5

Probability = Number of Favorable Outcomes / Total Number of Outcomes = 5 / 6.

So the probability that at least one gift will be delivered correctly is 5/6 or approximately 0.8333

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Answer:

2 bottles of water

Step-by-step explanation:

Bottles of water - 2.20

A pizza - 11.99

Total - 16.39

16.39 - 11.99

= 4.40

Bottles of water

b= 4.40/2.20

b = 2 bottles

The given statement can be formulated as follows: A batch of 150 iPads is inspected by choosing a sample of four iPads. Eight of the 150 iPads do not conform to specifications.

How many samples of four contain exactly one non-conforming iPad?

Let's solve the given problem step by step.

Step 1: We have 8 non-conforming iPads and 142 conforming iPads in the batch of 150 iPads. We need to find the number of ways to choose 4 iPads that include exactly one non-conforming iPad.

Step 2: We choose one non-conforming iPad in 8 ways and choose 3 conforming iPads in 142C3 ways, where nCk is the number of ways to choose k objects from n distinct objects without regard to order.

Thus the total number of ways to choose 4 iPads with exactly one non-conforming iPad is given by:

=8 × 142C3

\(8 \times \frac{142 \times 141 \times 140}{3 \times 2 \times 1}\)

= 2,107,280

Therefore, there are 2,107,280 samples of four that contain exactly one non-conforming iPad.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

H. 108

Step-by-step explanation:

Length of the square= 12

S= 1/2 of the length of the square= 6

P=1/2 of the length of the square= 6

Separate the shaded area into two triangles and one square.

Area of a Triangle= 1/2* length* height

Triangles= 2 triangles* 1/2* 6* 6= 36

Line QR= 6*2+ 6*2= c^2 (Pythagorean theorem)

36+ 36= c^2

c= \(\sqrt{72}\)

Area of the square=  \(\sqrt{72}\)* \(\sqrt{72}\)= 72

1 square+ 2 triangles= 72+ 36= 108

Since ⌊200/7⌋ ≈ ⌊28.5714⌋ = 28, there are only 28 terms in the sum:

S = 7 + 14 + 21 + … + 189 + 196

Each term is a multiple of 7, so

S = 7 (1 + 2 + 3 + … + 27 + 28)

Recall that

\(\displaystyle \sum_{n=1}^Nn = 1 + 2 + 3 + \cdots + N = \dfrac{N(N+1)}2\)

Then

S = 7/2 • 28 • 29 = 2842

a. A function representing the amount of the dose that remains is y = 10(0.95)ˣ.

b. The graph of the function is given in the attached image.

c. After 7 minutes, y = 6.98

d. x ≈ 17 minutes.

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

A quantity of insulin used to regulate sugar in the bloodstream breakdown (decreases) by about 5% each minute.

To begin, a body weight-adjusted dose is usually 10 units.

a. A function representing the amount of the dose that remains is,

y = 10(1 - 0.05)ˣ

y = 10(0.95)ˣ

b. The graph of the function is given in the attached image.

c. After 7 minutes,

y = 10(0.95)⁷

y = 6.98

d. 1/4 of the dose = 2.5

log(2.5) = log(10) xlog(0.95)

x = log(2.5)/log(0.95)

x ≈ 17 minutes.

Therefore, all the required values are given above.

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Angle ∠x is 91° smaller than angle ∠y.

Given that:

Angles, ∠x = 27°

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The measure of the angle ∠y is calculated as,

∠x + ∠y + 125° + 90° = 360°

27° + ∠y + 125° + 90° = 360°

∠y + 242° = 360°

∠y = 118°

The difference between the angle ∠x and ∠y is given as,

∠y - ∠x = 118° - 27°

∠y - ∠x = 91°

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Answer:

This is a reflection over the x-axis.

Step-by-step explanation:

As you can see, the in between midway point is across the x-axis.

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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Answer:

B. \(\frac{14}{625}\)

Step-by-step explanation:

Total paper in the hat:

2 blue + 6 red + 10 yellow + 7 purple = 25 total pieces of paper

P(AB) = 7 / 25 x 2 / 25

A is the probability of pulling a purple paper

B is the probability of pulling a blue paper

Answer:

14/625

Step-by-step explanation:

probability = favorable outcomes/total number of outcomes

First find the probability of drawing a purple piece of paper.

There are 7 pieces of purple paper.

Add all the amounts of colored paper together to get the total number of outcomes.

2 + 6 + 10 + 7 = 25

The probability of drawing purple is 7/25

Now find the probability of drawing  blue. There are 2 blue pieces of paper. Since he replaces the purple paper the total stays at 25.

The probability of drawing blue is 2/25

This is a compound probability problem, so multiply the two probabilities together.

7/25 x 2/25

14/625

The solutions of the given Quadratic equations are as follows:

1)

The given quadratic equation is (k + 1)(k − 5) = 0

Setting each factor to zero and solving for k, we get:

k + 1 = 0 or k − 5 = 0

k = −1 or k = 5

So, the solutions are k = −1 and k = 5.

2)

(a + 1)(a + 2) = 0

Setting each factor to zero and solving for a, we get:

a + 1 = 0 or a + 2 = 0

a = −1 or a = −2

So, the solutions are a = −1 and a = −2.

3)

(4k + 5)(k + 1) = 0

Setting each factor to zero and solving for k, we get:

4k + 5 = 0 or k + 1 = 0

k = −5/4 or k = −1

So, the solutions are k = −5/4 and k = −1.

4)

(2m + 3)(4m + 3) = 0

Setting each factor to zero and solving for m, we get:

2m + 3 = 0 or 4m + 3 = 0

m = −3/2 or m = −3/4

So, the solutions are m = −3/2 and m = −3/4.

5)

x^2 − 11x + 19 = −5

Moving all terms to the left-hand side, we get:

x^2 − 11x + 24 = 0

Factoring the left-hand side, we get:

(x − 3)(x − 8) = 0

Setting each factor to zero and solving for x, we get:

x − 3 = 0 or x − 8 = 0

x = 3 or x = 8

So, the solutions are x = 3 and x = 8.

6)

n^2 + 7n + 15 = 5

Moving all terms to the left-hand side, we get:

n^2 + 7n + 10 = 0

Factoring the left-hand side, we get:

(n + 5)(n + 2) = 0

Setting each factor to zero and solving for n, we get:

n + 5 = 0 or n + 2 = 0

n = −5 or n = −2

So, the solutions are n = −5 and n = −2.

7)

n^2 − 10n + 22 = −2

Moving all terms to the left-hand side, we get:

n^2 − 10n + 24 = 0

Factoring the left-hand side, we get:

(n − 6)(n − 4) = 0

Setting each factor to zero and solving for n, we get:

n − 6 = 0 or n − 4 = 0

n = 6 or n = 4

So, the solutions are n = 6 and n = 4.

8)

n^2 + 3n − 12 = 6

Moving all terms to the left-hand side, we get:

n^2 + 3n − 18 = 0

Factoring the left-hand side, we get:

(n + 6)(n − 3) = 0

Setting each factor to zero and solving for n, we get:

n + 6 = 0 or n − 3 = 0

n = −6 or n = 3

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Compare the NPVs of each alternative and select the one with the highest value.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

To analyze the decision problem described, let's create a decision tree to represent the different alternatives and their associated costs and outcomes. The decision tree will help us evaluate the expected cash flows for each alternative and determine which option should be selected.

Here's the decision tree:

Diagram is attached below.

The decision tree represents the three alternatives:

1. Repair the existing dam without any other alterations.

2. Repair the existing dam and redesign the spillway to withstand a 100-year flood.

3. Repair the existing dam and build a second dam upstream.

We need to calculate the expected cash flows for each alternative over the 10-year period, considering the probabilities of different flood events.

Let's assign the following probabilities to the flood events:

- No Flood: 0.80 (80% chance of no flood)

- 50-year Flood: 0.15 (15% chance of a 50-year flood)

- 100-year Flood: 0.05 (5% chance of a 100-year flood)

Next, we calculate the expected cash flows for each alternative and discount them at a 7% interest rate to account for the time value of money.

Alternative 1: Repair the existing dam without any other alterations.

Expected Cash Flow = (0.80 * 0) + (0.15 * $200,000) + (0.05 * $2,000,000) - $250,000 (cost of repair)

Discounted Cash Flow = Expected Cash Flow / (1 + 0.07)¹⁰

Alternative 2: Repair the existing dam and redesign the spillway.

Expected Cash Flow = (0.80 * 0) + (0.15 * $200,000) + (0.05 * ($2,000,000 + $250,000)) - ($250,000 + $250,000) (cost of repair and redesign)

Discounted Cash Flow = Expected Cash Flow / (1 + 0.07)¹⁰

Alternative 3: Repair the existing dam and build a second dam upstream.

Expected Cash Flow = (0.80 * 0) + (0.15 * $200,000) + (0.05 * ($2,000,000 + $2,000,000)) - ($250,000 + $1,000,000) (cost of repair and second dam)

Discounted Cash Flow = Expected Cash Flow / (1 + 0.07)¹⁰

After calculating the discounted cash flows for each alternative, the alternative with the highest net present value (NPV) should be selected. The NPV represents the expected profitability or value of the investment.

Compare the NPVs of each alternative and select the one with the highest value.

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Answer: the answer might be D. The slopes of the two triangles are the same

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-1/5 j + 3/4 - 5/2 j - 7/8 =

= (-2-25)/10 j + (6-7)/8 =

= -27/10 j - 1/8

Answer:

7

Step-by-step explanation:

x + 4y = 12

4y = -x + 12

Line G:

y = -1/4x + 3

Line H:

y = 4x + b

-5 = 4(-3) + b

-5 = -12 + b

7 = b

To determine whether a variable is discrete or continuous, you need to consider the nature and characteristics of the variable.

Here are some guidelines to help you make the distinction:

1. Discrete Variables:

- Discrete variables have a countable or finite number of possible values.

- The values of a discrete variable are often whole numbers or integers.

- Examples of discrete variables include the number of children in a family, the number of cars in a parking lot, or the number of customers in a store at a given time.

2. Continuous Variables:

- Continuous variables can take on any value within a certain range or interval.

- The values of a continuous variable can be infinitely divisible and can include decimal fractions.

- Examples of continuous variables include height, weight, time, temperature, or the amount of rainfall.

However, it's worth noting that some variables may fall in a gray area and can be considered both discrete and continuous depending on the context.

For example, age can be treated as a discrete variable when only whole numbers are considered (e.g., number of years), but it can be treated as continuous when fractional values (e.g., age in years and months) are considered.

When determining if a variable is discrete or continuous, it's important to consider the level of measurement and the nature of the values being observed. Discrete variables typically involve counts or distinct categories, while continuous variables involve measurements along a continuum.

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Answer: a= x+14 /b+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

14 + x = 3a + ab

Solving

14 + x = 3a + ab

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + x = 3a + -14 + ab

Combine like terms: 14 + -14 = 0

0 + x = 3a + -14 + ab

x = 3a + -14 + ab

Reorder the terms:

x = -14 + 3a + ab

Simplifying

x = -14 + 3a + ab

Answer: -3/2

Step-by-step explanation:

To find the slope of the line perpendicular to the given one, we first need to change the equation to y=mx+b to find the original slope.

\(6x-9y=216\)             [subtract both sides by -6x]
\(-9y=-6x+216\)        [divide both sides by -9]
\(y=\frac{2}{3} x-24\)

Now we know slope is 2/3. The slope of the perpendicular line is the opposite sign and reciprocal of the slope.

Opposite would make it -2/3.

Reciprocal would be -3/2.
So the slope is -3/2.

False, The formula for conditional probability is P(B | A) = P(A and B) / P(A), not P(B | A) = P(A and B).

The formula for conditional probability is used to calculate the probability of event B occurring given that event A has already occurred. It is given by:

P(B | A) = P(A and B) / P(A)

To calculate conditional probability, first, find the probability of A and B occurring together (P(A and B)), and the probability of event A occurring (P(A)). Then, divide the probability of A and B occurring together by the probability of A occurring.

For example, if the probability of event A is 0.6 and the probability of event B given that A has occurred is 0.3, we can calculate the conditional probability of B given A as follows:

P(B | A) = P(A and B) / P(A)

P(B | A) = 0.3 / 0.6

P(B | A) = 0.5

Therefore, the probability of event B occurring given that event A has already occurred is 0.5.

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Answer:

3x (x+2) (x−9)

(factored)

hope this helps :D

Answer:

2.3 2 1/3

Step-by-step explanation: you add up all the bikes then divide them by 3 because that's the number of people

Answer:

I think you have it

Step-by-step explanation:

It's not -4.44, and if it was -3.14 it would be closer to the -3 tick on the line. With the negative square root of 17 being 4.12 it's not that either. -11/3 is 3.6666667 or something along those lines so it would be closer to the -4 tick on the line, so I'm pretty sure you got it.

Answer:

75

Step-by-step explanation:

322 = 2(86) + 2w

322 = 172 + 2w

322-172 = 172 +2w -172

150 = 2w

150/2 = 2w/2

w=75

83+34+99+79= 295

Step-by-step explanation: