2. Jada saw a music video that her favorite artist recently posted online. The equation
v(t)=450x3^t represents the number of views, v, of the video, t days since Jada saw the video

a. Find v(-2)

Answer:

b. What does v(-2) represent in this situation?

Answer:

The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).

1: Identify the given data

Sample size (n) = 150 students

Sample mean (x) = 2.86

Population standard deviation (σ) = 0.78

Confidence level = 98%

2: Find the critical z-value (z*) for a 98% confidence level

Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).

3: Calculate the standard error (SE)

SE = σ / √n

SE = 0.78 / √150 ≈ 0.064

4: Calculate the margin of error (ME)

ME = z* × SE

ME = 2.33 × 0.064 ≈ 0.149

5: Construct the confidence interval

Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711

Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009

The 98% confidence interval is approximately (2.711, 3.009).

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Exponential smoothing forecast for March is 204.8.

We can use exponential smoothing to forecast the sales for March. Let \(F_t\)be the forecasted value for time t, and \(Y_t\) be the actual value for time t. Then, we can calculate the exponential smoothing forecast as follows:

\(F_t = \alpha Y_t + (1- \alpha ) F_{t-1}\)

where α is the smoothing constant.

We are given that the first forecast value is set to 190, so F_1 = 190. Also, the actual sales data for January, February, and March are 190, 210, and 208, respectively. We are given that α = 0.4.

Using the formula for exponential smoothing, we can calculate the forecast for February as follows:

\(F_2 = 0.4210 + 0.6190 = 202\)

Using the same formula, we can calculate the forecast for March as follows:

\(F_3 = 0.4208 + 0.6202 = 204.8\)

Therefore, the exponential smoothing forecast for March is 204.8.

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The test statistic value for this situation is approximately -2.474.

A hypothesis test comparing the sample mean to the assumed population mean is necessary in order to determine the value of the test statistic. The population mean triglycerides level would be the null hypothesis (H0), and the alternative hypothesis (Ha) would be that the population mean is not 130 units.

The t-statistic, which is calculated as follows, is the test statistic utilized in this circumstance:

t = (test mean - expected populace mean)/(test standard deviation/sqrt(sample size))

Given the data gave, we have:

Expected populace mean (μ): 130 Mean of the sample (x): 122

Test standard deviation (s): 20 (n) sample sizes: 30

Connecting the qualities into the recipe, we can work out the test measurement:

t = (122 - 130) / (20 / sqrt(30)) t = -8 / (20 / sqrt(30)) After calculating this expression, we come to the following conclusion:

t ≈ - 2.474

Hence, the test measurement an incentive for this present circumstance is roughly - 2.474.

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Answer is 10

Explaination:

10x3=30

30-4=26

Perimeter = length times 2 + width times 2

26 x 2= 52

10 x 2= 20

52+20=72

Please mark brainliest

Answer:

1 is 35 and 2 is 42 and 3 i think is 65

Step-by-step explanation:

Answer:

1. 42875 cube root is expresed as \(\sqrt[3]{42875}\) = 35

2. 74088 cube root is expresed as \(\sqrt[3]{74088}\) = 42

3. 274625cube root is expresed as \(\sqrt[3]{274625}\) = 65

A person weighing 173 pounds can burn 10.7 calories per minute.

The given equation is ŷ=2.2+0.05x.

To solve this question, we can use the equation given, ŷ=2.2+0.05x. We can insert the known weight value, 173 pounds, to calculate the anticipated calories burned per minute.

y = 2.2 + 0.05x

y = 2.2 + 0.05 × 173

y = 10.7

Therefore, a person weighing 173 pounds can burn 10.7 calories per minute.

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"Your question is incomplete, probably the complete question/missing part is:"

By observing a set of data values, Thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ=2.2+0.05x

Based on the information gathered by Thomas, select the statement that is true.

a) A person weighing 149 pounds can burn 9.8 calories per minute.

b) A person weighing 134 pounds can burn 8.9 calories per minute.

c) A person weighing 125 pounds can burn 8.3 calories per minute.

d) A person weighing 173 pounds can burn 10.7 calories per minute.

Answer:

A person weighing 134 pounds can burn 8.9 calories a minute.

Step-by-step explanation:

The line intersects the plane at the point (-4, 15, -6).

The line (x, y, z) = (2, -3, 0) + k(-1, 3, -1) can be expressed parametrically as:

x = 2 - k

y = -3 + 3k

z = k

The plane [x, y, 2] = [4, -15, -8] + s[1, -3, 1] + t[2, 3, 1) can be expressed in scalar form as:

x + y - 2z = 14 + s - 2t

To find the intersection of the line and the plane, we can substitute the parametric equations of the line into the scalar equation of the plane:

(2 - k) + (-3 + 3k) - 2k = 14 + s - 2t

Simplifying this equation, we get:

-4k + 3 = 14 + s - 2t

We can also express the line and plane equations in vector form:

Line: r = (2, -3, 0) + k(-1, 3, -1) = (2-k, -3+3k, k)

Plane: r = (4, -15, -8) + s(1, -3, 1) + t(2, 3, 1) = (4+s+2t, -15-3s+3t, -8+s+t)

To find the intersection of the line and the plane, we need to find the values of k, s, and t that satisfy both equations simultaneously. We can do this by equating the vector forms of the line and plane and solving for k, s, and t:

2 - k = 4 + s + 2t

-3 + 3k = -15 - 3s + 3t

k = -8 - s - t

Substituting k into the first equation, we get:

2 + 8 + s + t = 4 + s + 2t

Simplifying this equation, we get:

t = 4

Substituting t = 4 and k = -8 - s - t into the second equation, we get:

-3 + 3(-8 - s - 4) = -15 - 3s + 3(4)

Simplifying this equation, we get:

s = -2

Substituting t = 4 and s = -2 into the first equation, we get:

k = 8 - s - t = 8 + 2 - 4 = 6

Therefore, the line intersects the plane at the point (x, y, z) = (2, -3, 0) + 6(-1, 3, -1) = (-4, 15, -6).

So the line intersects the plane at the point (-4, 15, -6).

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Answer:

\(\sf h(x) = y -4\)

Answer:

3.5

Step-by-step explanation:

7 is hypotenuse, and x is facing the 30 degree angle (bottom left corner) as this is a 30-60-90.

Rules of 30-60-90 say shortest side (30 degree) is x, and hypotenuse is 2x.

7/2 = 3.5

Answer:

b

Step-by-step explanation:

the equation is y= -7/8x +10. -7/8x shows us that the slope is -7/8 and +10 shows us the y-intercept.

Answer: -5/3

Step-by-step explanation:

In an equation y = mx + b, m is the value of the slope. The slope is the same as the rate of change. In this case, m = -5/3, thus the rate of change is -5/3.

Answer:

-3

Step-by-step explanation:

4x+1=2x-5

Get x on one side by subtracting 2x

2x+1=-5

Get x alone by subtracting 1

2x=-6

Simplify by dividing by 2

X=-3

Answer: x=-3

Step-by-step explanation: Pic is Attached. Hope this helps.

Answer:

110/5=2

2,5.5=15

2+15=17

Step-by-step explanation:

Answer:

-6x^3-8x^2+5x+12

Step-by-step explanation:

See attachment

\(e-\frac{1}{e} +\frac{4}{3} 0r 3.687\)  is the value when the equation is to integrate with respect to x or y

we integrate with respect to x

Area = \(\int\limits^b_a{(f(x)-g(x))} \, dx\)

       = \(\int\limits^1_-1{e^{x}-x^{2} +1 } \, dx\)

        =\(e^{x} -\frac{x^{3} }{3} +x\)

   substitute 1 and -1 in place of x

  = \((e-\frac{1}{3}+1-\frac{1}{e} -\frac{1}{3} +1)\)

  = \(e-\frac{1}{e} + \frac{4}{3} or 3.6837\)

The diagram was attached in the given below.

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Answer:

V = 58.7 m^3

Step-by-step explanation:

The formula is V = 1/3 *b*h

where b is the base area

h is the height

From the diagram,

h= 11m

Now we need to find the area of the base.

The base is made of an equilateral triangle, so we know that one of the sides is 8m.

The area of the base is found: 1/2 * a * l

Where a = 8m

l = a/2 = 8m/2 = 4m

So the area of the base is:

b = 1/2 * 8 m* 4m

b = 16m^2

Now plug this into the volume formula:

V = 1/3 b * h

V = 1/3 * 16m^2 * 11m

V = 58.7 m^3

Answer:

Nine and 35 hundredths of water

Step-by-step explanation:

Answer:

9.35 --->  Nine and thirty-five hundredths

Answer:

D.

Step-by-step explanation:

a line that is y= is always horizontal.

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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512 → Choice C

Step-by-step explanation:

\(\begin{aligned}64^{\frac{3}{2}}&=\sqrt[2]{64^3}\\&=8^3\\&=\bf 512\end{aligned}\)

Considering the definition of permutation, in 95,040 different ways he can arrange homes on the lots.

Permutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.

In other words, permutations are ways of grouping elements of a set in which:

To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:

\(m Pn=\frac{m!}{(m-n)!}\)

where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.

In this case, you know:

To obtain the total of ways in which he can arrange homes on these lots, you use the permutation. This is, 12 elements o models can be arranged occupying only the 5 positions:

\(12P5=\frac{12!}{(12-5)!}\)

Solving:

\(12P5=\frac{12!}{7!}\)

12P5= 479,001,600 ÷ 5,040

12P5=95,040

Finally, in 95,040 different ways he can arrange homes on the lots.

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Answer:

y=2x-4

Step-by-step explanation:

Answer:

The value of x is 13°

Step-by-step explanation:

Given: m || n

For a straight line = 180°

Now, by exterior angle

(7x - 1)° + (8x - 14)° = 180°

7x - 1° + 8x - 14° = 180°

15x - 15° = 180°

Now, add 15° both side we get,

15x - 15° + 15° = 180° + 15°

15x = 195°

Now, divide both side by 15

15x/15 = 195°/15

x = 13°

Thus, The value of x is 13°

-TheUnknownScientist 72

The amount of interest charged at the end of the term is approximately $644.75.

To calculate the amount of interest charged at the end of the term, we can use the simple interest formula:

Interest = Principal * Rate * Time

Principal = $6,250

Rate = 4.12% = 0.0412 (decimal form)

Time = 2 years + 6 months = 2.5 years

Plugging in these values into the formula, we have:

Interest = $6,250 * 0.0412 * 2.5

Calculating this expression:

Interest = $6,250 * 0.0412 * 2.5 = $644.75

Therefore, the amount of interest charged at the end of the term is $644.75 (rounded to the nearest cent).

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As per the sampling technique, consider the sampling distribution of the sample proportion. this sampling distribution will have a center equal to the population proportion, or p.

The sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases.

Here for the given question, let us check all the given statements in the options

Here we know that the shape is approximately normal. Then the given option will be false.

Next, it is the collection of all samples taken from the population, So the given option will be false

Standard Deviation

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Now, the sample size increases, the value of n increases. where n is the value on the denominator of the equation of standard deviation.

Therefore, due to an increase in the value of n, then there will be decreases in the standard deviation.

Then the less standard deviation means a small variance.

Therefore, as a result, as the sample size grows, the variation will be minimal.

So, the center is the same as the sample proportion p.

Therefore, this is correct.

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Answer:

<1 and <2

Step-by-step explanation:

Complementary angles are two angles which their measure add up to 90 degrees.

There are only one angle pair that meet this requirement:

angle 2 and angle 1

You can infer causality from a correlational result, but only when the r value is greater than b. 0.5

A correlation coefficient, generally denoted by the symbol "r," is a metric that evaluates the degree and direction of a linear relationship between two variables. r has a value between -1 and 1, with -1 indicating a strong negative correlation, +1 indicating a high positive correlation, and 0 indicating no connection.

A correlation value of 0.5 or above is regarded moderate or strong, and it might indicate that a causal link exists between the two variables. It is crucial to remember, however, that correlation does not imply causation, and that other factors such as confounding variables, spurious correlations, or reverse causality may be contributing to the apparent association.

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The lower the p-value, the more likely it is that the results are not due to chance. In this case, the p-value is 0.0683 This means that the researchers can conclude that drivers are significantly more distracted while driving when using a cell phone than when talking to a passenger in the car.

There is a difference in the proportion of drivers who missed the exit between the two groups.
The conditions required for a two-proportion z-test to be appropriate include that the data is collected independently, both groups are independent, the data should come from a normal population, and the sample sizes should be greater than 10.
The data was collected independently, both groups are independent, and the sample sizes are greater than 10. Therefore, these conditions are met. It is not clear if the data is from a normal population or not, but the test can still be used if the sample sizes are large enough.
The p-value of 0.0683 measures the probability that the results observed are due to chance. Therefore ,the lower the p-value, the more likely it is that the results are not due to chance.

In this case, the p-value is 0.0683, which is considered to be a small enough value that it indicates a statistically significant difference between the two groups.

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Answer:

x = 11

Step-by-step explanation:

The Frequency column has to total 50 ( number of rolls on dice )

Thus total the given frequencies and equate to 50, that is

12 + 8 + 7 + 3 + 9 + x = 50

39 + x = 50 ( subtract 39 from both sides )

x = 11

Answer:

x=11

Step-by-step explanation:

12+8+7+3+9=39

50-39= 11