The graph of a sinusoidal function has a minimum point at (0,-10) and then has a maximum point at (2,-4)
Write the formula of the function, where x is entered in radians.

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

-2/5 this is the answer to 6^2x+2•6^3x=1

Answer: 57.8

Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8

The dimensions of the window that minimize the perimeter are h = 1.40625w and T = 1.5w.

Given that the window is in the shape of a rectangle of height h surmounted by a triangle having a height T that is 1.5 times the width w of the rectangle.

Let the width of the rectangle be ‘w’.We have to find the height of the rectangle ‘h’ and the width of the rectangle ‘w’ that minimize the perimeter of the window.

Using the given diagram, the height of the rectangle is h and the base of the triangle is 1.5w, therefore the height of the triangle is 1.5w/2 = 0.75w.

Area of the rectangle = hw and area of the triangle = 0.5 (1.5w) × 0.75w = 0.5625w²

The total area A is given by A = hw + 0.5625w² = w(h+0.5625w) …….(1)

Let the perimeter of the window be P. Then P = 2l + 2w + T …….(2)

Substitute T = 1.5w in (2) to get, P = 2l + 4.5w + 2h …….(3)

Solve (1) for h to get, h = (A/w) – 0.5625w …….(4)

Substitute (4) into (3) to get, P = 2l + 4.5w + 2((A/w) – 0.5625w) …….(5)

Differentiating (5) w.r.t ‘w’ and equating to zero to get the minimum value,

∂P/∂w = 4.5 – 2A/w² + 0.5625 = 0 ⇒ 2A/w² = 4.5 – 0.5625 = 3.9375 ⇒ A/w² = 1.96875

From (1), A = w(h+0.5625w)

Substitute A/w² = 1.96875 in the above equation to get,

1.96875w² = w(h+0.5625w) ⇒ h = 1.96875w – 0.5625w = 1.40625w

Therefore the dimensions of the window that minimize the perimeter are h = 1.40625w and T = 1.5w.

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Answer:

77 m

Step-by-step explanation:

The 2 situations are similar , so the ratios of corresponding sides are equal.

let h be the height of the tower, then

\(\frac{2.9}{h}\) = \(\frac{1.77}{47.25}\) ( cross- multiply )

1.77h = 137.025 ( divide both sides by 1.77 )

h ≈ 77 m ( to the nearest metre )

Option B is correct, in constructing a unique triangle we need to provide  all three sides or the measure of the hypotenuse and a side in a right triangle.

In order to construct a unique triangle, you need to provide either all three sides or the measure of the hypotenuse and a side in a right triangle.

These two conditions are sufficient to determine a unique triangle.

Providing two sides and the included angle is enough, but this is not true. Two sides and an included angle can form multiple different triangles, so it does not guarantee a unique triangle.

Providing two angles and the included side is enough, but this is also not true.

Two angles and the included side can form multiple different triangles, so it does not guarantee a unique triangle.

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If testing shows that there is less than a 5% chance the results were random, the study is considered statistically significant.

In statistical hypothesis testing, researchers often set a significance level, denoted as α (alpha), which is typically 0.05 or 5%. This significance level represents the threshold below which the researchers consider the results to be statistically significant. If the p-value, which is a measure of the evidence against the null hypothesis, is less than the chosen significance level, it indicates that the results are unlikely to have occurred by chance alone.

When testing shows that there is less than a 5% chance (or any chosen significance level) that the results were random, the study is considered statistically significant. This means that the observed data provides evidence to reject the null hypothesis in favor of the alternative hypothesis. The results are deemed significant because the probability of obtaining such extreme or more extreme results under the assumption of randomness is very low.

Statistical significance is an important criterion in research as it helps researchers draw valid conclusions and make inferences from their data. However, it is essential to note that statistical significance does not imply practical significance or the magnitude of the effect observed. Additional considerations, such as effect size and contextual relevance, are necessary to fully interpret the implications of a statistically significant result in practical terms.

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Answer:

Step-by-step explanation:

Answer: 13?

Step-by-step explanation:

I need help under standing

Answer:

x+6

Step-by-step explanation:

The formula for area is:

\(Area=l*w\)

First, let's factor the area. We need to find two numbers that have a product of -24 and a sum of 2.

-4*6=-24

-4+6=2

We can substitute 2x with -4x and 6x:

\(x^2-4x+6x-24\)

Factor each half separately:

\(x(x-4)+6(x-4)\)

Since x and 6 both are being multiplied by x-4, we can combine them to get:

\((x-4)(x+6)\)

Now, we can substitute this back into the original area equation to solve for the length:

\((x-4)(x+6)=(x-4)length\)

Divide both sides by x-4

\(l=x+6\)

Answer:

1/5 is the exact form

0.2 decimal form

Step-by-step explanation:

The probability that a randomly selected gas station customer on that day did not purchase gasoline is 10/27.

We know that, the probability of any event is the ratio of the number of favorable case to that event to the total number of cases.

The total number of customers in that Gas Station on that day = 135

According to the data table,

Number of customers did not purchase gas but purchased beverage = 35

Number of customers neither purchase gas nor beverage = 15

So total number of customers did not purchase gas = 35 + 15 = 50

Here number of favorable cases = 50

So the probability that a randomly selected gas station customer on that day did not purchase gasoline = 50/135 = 10/27.

Hence the required probability is 10/27.

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The given question is incomplete. The complete question is -

"On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?

Customer Purchases at a Gas Station"

Answer:

6/5 = 1.2 is the answer for the question

The question is 21/400 * 21/400 * 21/400 * 21/400. We can rephrase this as 21^4/400^4 for simplicity. 21^4 = 194,481, and 400^4 = 25,600,000,000. 194,481/25,600,000,000 = 7596.91406 * 10^8

The absolute extrema for the function f(x) = -5x² + 20x + 5 on the interval [-3, 9] are: Absolute maximum: (2, 25), Absolute minimum: (-3, -100).

In this problem, we are given a function f(x) = -5x² + 20x + 5 defined on the interval [-3, 9], and we need to find the absolute extrema of the function on this interval.

To find the absolute extrema, we need to evaluate the function at the critical points and endpoints of the interval.

Critical points:

To find the critical points, we take the derivative of f(x) and set it equal to zero:

f'(x) = -10x + 20

-10x + 20 = 0

x = 2

Endpoints:

We evaluate f(x) at the endpoints of the interval [-3, 9]:

f(-3) = -5(-3)² + 20(-3) + 5 = -45 - 60 + 5 = -100

f(9) = -5(9)² + 20(9) + 5 = -405 + 180 + 5 = -220

Evaluate f(x) at the critical point:

f(2) = -5(2)² + 20(2) + 5 = -20 + 40 + 5 = 25

Comparing the values, we have:

Absolute maximum: (2, 25)

Absolute minimum: (-3, -100)

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\([Hello,BrainlyUser]\)

I think you meant 5 1/5 + 4 3/5

Answer:

9 4/5

Step-by-step explanation:

Since the denominator are the same we don't need to change it.

Hence, whole number add = \(5 + 4=9\)

Then, \(\frac{1}{5}+\frac{3}{5}=\frac{4}{5}\)

Next, \(9+\frac{4}{5}=9 \frac{4}{5}\)

\([CloudBreeze]\)

equation of a line : y=mx+b

Answer : y= -1x+2

Answer:

your sample in statistics has to represent or be pulled from the population you are interested in.  If your population was all the drivers on highway 10 it wouldn't make sense to draw a sample from the local grocery store.  The sample has to be pulled from the population

Step-by-step explanation:

Answer:

\(h = \frac{4}{n}\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that do not contain the variable.

Hence, you get the following answer:

\(h = \frac{4}{n}\)

The time interval when the speed is decreasing 0< t<3

Instatenous speed is the speed of a object in motion at any given moment of time.

When the speed starts deceasing the instatenous acceleration dv/dt<0

differentiating the distance with time with second order

dv/dt= d^2x/dt^2

dv/dt= 18t- 54

dv/dt<0

18t-54<0

18t<54

t<3

Therefore the time interval when the speed start deceasing is 0 to 2

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Step-by-step explanation:

In this form, x = 5.

so we'll substitute 5 in for x...

f(5) = -9(5) -10

f(5) = -45 -10

f(5) = -55

essentially saying, when x = 5, y = -55

So, by fraction, number of times he will have to fill the smaller measuring cup to equal 1 3/4 cups is 7 times.

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

Glass holds = 1(3/4) cups of water

One cup holds = 1/4 cup of water

number of 1/4 cups needed to fill the 1(3/4) cups of water glass.

\(\frac{1}{4xC}=1(\frac{3}{4})\\\\\frac{C}{4} = \frac{7}{4} \\\\C=\frac{7}{4x4}\\ \\C= 4\)

number of times the smaller cup fills the glass is 7.

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Complete Question: Quentin is filling a glass that holds 1 3/4 cups of water. he is using 1/4 cup measuring cup. how many times will he have to fill the smaller measuring cup to equal 1 3/4 cups?

Assuming a 10% rate of orders that are incorrect. The accuracy rate seems to be satisfactory.

Definition of accuracy-The accuracy formula provides accuracy as a difference of error rate from 100%. To find accuracy we first need to calculate the error rate. And the error rate is the percentage value of the difference of the observed and the actual value, divided by the actual value.

Given: A study of the accuracy of fast food drive-through orders, one restaurant had 37 orders that were not accurate among 333 orders observed. Significance level-0.05

Explanation: Assuming a 10% rate of orders that are incorrect. The accuracy rate seems to be satisfactory.

Let a be the population proportion of the orders that were not accurate.

Then according to the claim we have,

\(H_{o} :\)  \(p\) = \(0.10\)

\(H{a} :p\) ≠ \(0.10\)

Since the alternative hypothesis is two-tailed so the hypothesis test is a  two-tailed test.

For example,

n = 333

The proportion of the orders that were not accurate =  \(p{'}\)\(=\frac{37}{333}\) ≈\(0.112\)

Test statistics for population proportion:-

Assuming a 10% rate of orders that are incorrect. The accuracy rate seems to be satisfactory.

Let a be the population proportion of the orders that were not accurate.

Then according to the claim we have,

\(H_{o} :p=0.10\)

\(H_{a} :p\) ≠ \(0.10\)

Since the alternative hypothesis is two-tailed so the hypothesis test is a  two-tailed test.

For example,

n = 333

The proportion of the orders that were not accurate =  \(p^{'} =\frac{37}{333}\) ≈ \(0.112\)

Test statistics for population proportion:-

\(z=\frac{p-p'}\sqrt{p(1-p)/\sqrt{n}\)\(=\frac{0.112-0.10}\sqrt{0.10(0.90)}/ {333}\) ≈ \(0.75\)

By using the standard normal distribution table,

The p-value : \(2(z > 0.75)=2.55\)

Since the p-value is greater than the significance level (0.05), so we do not reject the null hypothesis.

Hence, we conclude that the accuracy rate appears to be​ acceptable and satisfactory.

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The given statement is true.

Consider linearly independent vectors of \(R_{n}\)

Where n = 2

\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)  

\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)

Now product of these vectors

UV = 4x5 + 2x6

     = 32

Hence these vectors are not orthogonal.

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function is increasing on the interval [0, 2.029) and decreasing on the interval (2.029, 7].

A) [0,1.077) only

To answer this question, we must find the critical points of f'.

The critical points of f' occur when f'(x) = 0. We can solve this equation for x to find the critical points:

f'(x) = 0

sin x + x cos x

= 0

x = 0 (which is not in the given domain)

x = ±(1 + √2)

Since we are given that 0 < x < 7, we can ignore the negative value and use x = 1 + √2 = 2.029 as our only critical point in the given domain.

Therefore, function is increasing on the interval [0, 2.029) and decreasing on the interval (2.029, 7].

The answer is therefore A) [0,1.077) only

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