Which one of the options is the correct simplified one, please help.
I have it attached

If you stretch on the y-axis then you are increasing/decreasing values at a every x.

The new function is therefore:

\(g(x)=3\cdot2^x\)

Hope this helps.

When tossing two dice, each die has six possible outcomes: 1, 2, 3, 4, 5, and 6. Out of these, three are odd numbers: 1, 3, and 5. Thus, the probability of rolling an odd number on one die is 3/6 or 1/2. The probability of rolling a 6 on the other die is 1/6.

To find the probability of rolling an odd number and a 6 in a single toss, we multiply the probabilities of the individual events: (1/2) * (1/6) = 1/12.

In 60 tosses, each toss is an independent event, so we can use the binomial distribution formula to calculate the expected number of successes (odd number and a 6).

The formula is given by nCk * p^k * (1-p)^(n-k), where n is the number of tosses, k is the number of successes, p is the probability of success, and nCk represents the number of combinations.

Substituting the values, we have 60Ck * (1/12)^k * (11/12)^(60-k). Calculating this for k = 1, 2, 3, ..., 60 and summing up the results will give us the expected number of times we will roll an odd number and a 6 in 60 tosses.

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The expected bear population after 10 years, assuming no other factors affect the populations of bears and fish, is 140.

The populations of bears in a forest is 80 and increases by 6 each year. These bears eat fish from a nearby river. The fish population is 10,000 and decreases by half each year.

The bear population grows by 6 each year. Hence, after n years, the bear population can be found using the formula,

Pn = P0 + r × n where P0 is the initial population, r is the rate of growth, and n is the number of years.

After 10 years, the bear population can be found using the formula:

Pn = P0 + r × n

= 80 + 6 × 10

= 80 + 60

= 140

The fish population decreases by half each year. Hence, after n years, the fish population can be found using the formula,

Pn = P0 / 2n where P0 is the initial population, and n is the number of years.

After 10 years, the fish population can be found using the formula:

Pn = P0 / 2n

= 10000 / 210

= 10000 / 1024

≈ 9.77

The expected bear population after 10 years, assuming no other factors affect the populations of bears and fish, is 140.

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Answer:

36

Step-by-step explanation:

7 + 8 × 4 - 6 / 2

7 + 32 - 3

= 36

Answer:

no

Step-by-step explanation:

similar figures means that the corresponding angles are congruent and the corresponding sides are similar. this means if ABCD and EFGH are similar, A=E*x, B=F*x, C=G*x, and D=H*x, so they aren't congruent

a. The correlation coefficient: ≈ -0.184

b. The correlation coefficient r ≈ -0.184, which is close to 0. This suggests that there is a weak negative correlation between the x and y values in the data.'

To find the line of best fit using a linear regression algorithm, we need to find the slope (m) and y-intercept (b) of the equation in the form y = mx + b.

We will start by calculating some statistics from the given data.

First, let's find the means of x and y:

x_mean = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) / 9 = 45 / 9 = 5

y_mean = (8 + 4.037 + 7.200 + 4.180 + 4.763 + 1 + 1.047 + 2.436 + 1.844) / 9 ≈ 34.507 / 9 ≈ 3.834

Next, we need to find the sum of the product of the differences between each point and the mean for both x and y:

Σ((x - x_mean) * (y - y_mean)) = (1 - 5) * (8 - 3.834) + (2 - 5) * (4.037 - 3.834) + ... + (9 - 5) * (1.844 - 3.834) ≈ -8.311

We also need to find the sum of the squared differences between each x and the mean of x:

Σ((x - x_mean)^2) = (1 - 5)^2 + (2 - 5)^2 + ... + (9 - 5)^2 = 60

Now, we can calculate the slope (m):

m = Σ((x - x_mean) * (y - y_mean)) / Σ((x - x_mean)^2) ≈ -8.311 / 60 ≈ -0.1385

To find the y-intercept (b), use the formula:

b = y_mean - m * x_mean ≈ 3.834 - (-0.1385) * 5 ≈ 4.525

Now we have the line of best fit equation:

y = -0.1385x + 4.525

a. To find the correlation coefficient (r), we need to divide the covariance of x and y by the product of the standard deviations of x and y.

First, let's find the covariance:

cov(x, y) = Σ((x - x_mean) * (y - y_mean)) / (n - 1) ≈ -8.311 / 8 ≈ -1.039

Next, find the standard deviations of x and y:

sd_x = sqrt(Σ((x - x_mean)^2) / (n - 1)) = sqrt(60 / 8) ≈ 2.738

sd_y = sqrt(Σ((y - y_mean)^2) / (n - 1))

sd_y = sqrt((8 - 3.834)^2 + (4.037 - 3.834)^2 + ... + (1.844 - 3.834)^2) / 8 ≈ sqrt(33.904) / 8 ≈ sqrt(4.238) ≈ 2.058

Now we can calculate the correlation coefficient:

r = cov(x, y) / (sd_x * sd_y) ≈ -1.039 / (2.738 * 2.058) ≈ -0.184

b. The correlation coefficient r ≈ -0.184, which is close to 0. This suggests that there is a weak negative correlation between the x and y values in the data.'

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The solutions and probabilities are,

(a)

P(X < 100) = 0.748

P(X < 200) = 0.936

P(100 < X < 200) = 0.188

(b) P(X > M+2σ) = 0.0498

(c) Median = 50.01 m

Given data,

Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter,

λ = 0.01386

\(F(x) = 1 - e^-^λ^x\)

(a)

The probability that the distance is at most 100 m is,

\(F(100) = 1 - e^-^0^.^0^1^3^8^*^1^0^0\) = 0.748

The probability that the distance is at most 200 m is,

\(F(200) = 1 - e^-^0^.^0^1^3^8^*^2^0^0\) = 0.936

The probability that the distance is between 100 and 200 m is,

F(200) - F(100) = 0.936 - 0.748 = 0.188

(b)

The probability that distance exceeds the mean distance by more than 2 standard deviations

Mean, μ = 1/λ = 1/0.01386 = 72.1501

Standard deviation, σ = 1/λ = 72.1501

Value more than 2 SD from mean = µ + 2*σ

                                                        = 72.1501 + 2*72.1501 = 216.4503

Probability of greater than 216.4503,

P(X > 216.4503) = e^(-0.0139 * 216.4503)

                          = 0.0498

(c)

The value of the median distance is,

Median = ln(2) / λ

             = ln(2) / 0.0138 = 50.01

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Answer:

15 is 16.67% of 90.

If you round it, it would be 17%.

So As an improper fraction, it is 1667/100

16.67%=16.67100

=0.1667

=0.16671×100000100000

=16670100000

=166710000

Step-by-step explanation:

15 divided by 90. Take your answer then move the deimal 2 places over.

To make a fraction convert, multiply, simplify.

Hope that makes sense, I don't know if I said that right or used the rght words but The work is shown!

Answer:

The slope of the line is  \(\frac{3}{8}\)

Step-by-step explanation:

Given parameters:

                       A(-4, -1) to B(4, 2)​

Unknown:

The slope of the line joining the two points

Solution:

To find the slope of the line;  we use the expression below:

  Slope  = \(\frac{y_{2} - y_{1} }{x_{2} -x_{1} }\)

x₁ = -4

y₁ = -1

x₂ = 4

y₂ = 2

Input the parameters and solve;

      Slope  = \(\frac{2 -(-1)}{4-(-4)}\)

     Slope  = \(\frac{3}{8}\)

The slope of the line is  \(\frac{3}{8}\)

Answer: 166,400,000 1000 bills

$166,400,000,000

Answer:

166,400,000

sry for answering late!

Answer: 1.5miles/hour

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

To find the solution for the system of linear equations shown in the graph, we need to find the point of intersection of the two lines.

The first line passes through the points (0,0) and (1,3). We can find the equation of this line using the slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line can be found using the two given points:

m = (y2 - y1) / (x2 - x1)

m = (3 - 0) / (1 - 0)

m = 3/1

m = 3

The y-intercept of the line is (0,0), so b = 0.

Therefore, the equation of the first line is:

y = 3x

The second line passes through the points (0,2) and (1,1). We can find the equation of this line using the slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line can be found using the two given points:

m = (y2 - y1) / (x2 - x1)

m = (1 - 2) / (1 - 0)

m = -1/1

m = -1

The y-intercept of the line is (0,2), so b = 2.

Therefore, the equation of the second line is:

y = -x + 2

To find the point of intersection of these two lines, we can set their equations equal to each other:

3x = -x + 2

Solving for x, we get:

4x = 2

x = 1/2

Substituting x=1/2 into either equation, we can find y:

y = 3x

y = 3(1/2)

y = 3/2

Therefore, the point of intersection of the two lines is (1/2, 3/2).

So, the solution for the system of linear equations shown in the graph is:

x = 1/2

y = 3/2

Therefore, the correct response is:

one half comma three halves

Answer:

900

Step-by-step explanation:

4500/5

Answer:

6

Step-by-step explanation:

, , , , ,, , , , , , , , ,sssss

The degree measure of the sector is θ = 180°

We know that the area of a sector is nothing but the area inside the section of the circle created by two radii and an arc.

The formula for the area of a sector of the circle is:

area of a sector = \(\frac{\theta}{360} \times \pi \times r^2\)

where θ is the central angle measure in degrees

And πr² is the area of the circle

Here, the area of a sector of the circle A = 32π cm²

and the area of a circle (πr²) =  64π cm²

Using above formula of the area of a sector of the circle,

\(A=\frac{\theta}{360} \times \pi \times r^2\\\\32\pi=\frac{\theta}{360} \times \pi \times r^2\\\\32\pi=\frac{\theta}{360} \times 64\times \pi\\\\\theta=\frac{360}{2}\\\\ \theta=180^{\circ}\)

Therefore, the central angle associated to that sector is 180°

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Answer: 1.5

Step-by-step explanation:

1. Ans;

\(10 {x}^{2} + 25x + 5 \\ 5(2 {x}^{2} + 5x + 1) \)

2. Ans;

\( {x}^{4} {y}^{3} - 8x {y}^{2} + 12 {x}^{2}y \\ xy( {x}^{3} {y}^{2} - 8y + 12x)\)

I hope I helped you^_^

The expected value or average number of times a customer visits the store in a month is 1.60 times. So, the expected value for the average number of times a customer visits the store is 1.6 times.

To find the expected value, we need to multiply each possible outcome by its probability and then add them up. Let's assume that these numbers represent the number of times a customer visits a store in a month. We can see that the probabilities are not given, so we will assume that each outcome is equally likely.

Expected value = (0 x 0.10) + (1 x 0.40) + (2 x 0.30) + (3 x 0.20)
Expected value = 0 + 0.40 + 0.60 + 0.60
Expected value = 1.60

Therefore, the expected value or average number of times a customer visits the store in a month is 1.60 times.

To find the expected value of the average number of times a customer visits the store, you'll need to multiply each visit frequency by its respective probability and then sum up the results. Here's the calculation using the provided data:

Expected Value = (0 * .10) + (1 * .40) + (2 * .30) + (3 * .20)

Expected Value = (0) + (0.4) + (0.6) + (0.6)

Expected Value = 1.6

So, the expected value for the average number of times a customer visits the store is 1.6 times.

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Answer:

1/2

Step-by-step explanation:

do trust me on this one if you dare go head

Answer: 1/2

Step-by-step explanation:

Do the rise over run strategy, go up 1 and then right 2

Answer:

Step-by-step explanation:

-4x+7y=20

y=3x+15

sol

7y/7=20/7+4x7

y=2.857+4/7x

y=3x+15

This measure of central tendency can be considered the most precise in option c. mean

The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.

The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.

However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.

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a) The sample test statistic follows a t-distribution with degrees of freedom df = n1 + n2 - 2. b)The null and alternative hypotheses are: H0: μ1 = μ2 and Ha: μ1 ≠ μ2. c) The sample distribution value is: t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2)) d) the two-sided p-value for t = -3.044 with df = 111 is approximately 0.003.

(a) The requirements for conducting a two-sample t-test are:

The two samples are independent random samples.

Both populations are normally distributed, or the sample sizes are large enough (n1 ≥ 30 and n2 ≥ 30).

The population variances are assumed to be equal, or the sample sizes and standard deviations are roughly equal.

The sample sizes are n1 = 49 and n2 = 64, which are both larger than 30, so the sample sizes are large enough. We do not know whether the populations are normally distributed, but since the sample sizes are large, the Central Limit Theorem applies and the sample means should follow an approximately normal distribution. We assume that the population variances are equal.

The sample test statistic follows a t-distribution with degrees of freedom df = n1 + n2 - 2.

(b) The null and alternative hypotheses are:

H0: μ1 = μ2 (the population means are equal)

Ha: μ1 ≠ μ2 (the population means are different)

(c) The sample means and standard deviations are:

x1 = 10, s1 = 3

x2 = 12, s2 = 4

The sample distribution value is:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2)) = 3.658

and n1 + n2 - 2 = 49 + 64 - 2 = 111

So, t = (10 - 12) / (3.658 * sqrt(1/49 + 1/64)) = -3.044

(d) The p-value of the sample test statistic is the probability of observing a t-value as extreme or more extreme than the one calculated, assuming the null hypothesis is true. Since the alternative hypothesis is two-sided, we use a two-sided p-value.

Using a t-table or a calculator, the two-sided p-value for t = -3.044 with df = 111 is approximately 0.003.

(e) Since the p-value (0.003) is less than the level of significance (0.01), we reject the null hypothesis. There is sufficient evidence to conclude that the population means are different.

(f) We can interpret the results as follows: at a 99% level of confidence, we can conclude that the drug has a statistically significant effect on cholesterol levels, as the mean cholesterol level after three months of taking the drug is significantly different from the initial mean cholesterol level. The sample data provides evidence that the drug is effective in reducing cholesterol levels.

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Answer:

a. 65

b. D

Step-by-step explanation:

The question asks for an expression that solves for the profit that the company will make from each phone. The expression would be 65x, where 65 represents $65 profit from each phone, since $50 is spent and $115 is made, 115-50 gives you the profit, $65

D is the answer because the question asks for the expression that shows the earnings, or how much is made from each phone

Answer:

See Explanation

Step-by-step explanation:

Let us assume that \( \sqrt 3 - \sqrt 5\) is a rational number.

So, it can be expressed in the form of \( \frac{p}{q} \) where p and q are integers.

\(\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}\)

\(\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5\)

\(\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}\)

Squaring both sides:

\( (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 \)

\(\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } \)

\(\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}\)

\(\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq \)

\(\therefore - 2\sqrt 5 pq=p^2 +2q^2 \)

\(\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) \)

\(\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) \)

Since, p and q are integers so \( - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) \) is rational.

\(\therefore \sqrt 5 \) is also rational.

But it contradicts the fact that \(\sqrt 5 \) is irrational.

Hence, our assumption that \( \sqrt 3 - \sqrt 5\) is rational is wrong.

\( \therefore \sqrt 3 - \sqrt 5\) is irrational.

There are three basic methods of graphing linear functions. The first is by plotting points and then drawing a line through the points.

Define pre call?

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Answer:

10yd x 14 yd x 3yd = 420yd ^3

Step-by-step explanation:

When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.

Answer:

Ummmmm ehhhhhh

I need points for a hw

Answer:

m = 1

Step-by-step explanation:

We can use the x & y intercepts.

Rise = 2

Run = 2

m = Rise/Run = 2/2 = 1