Find the inequality represented by the graph

Answer:

x = 41°

Step-by-step explanation:

Using the cofunction identity

sinx = cos(90 - x) , then

sin49° = cos(90 - 49)° = cos49°

with x = 41°

The correct solution is: dh/dt = -1/9π m/sec.

Given,

The cylinder is leaking water at a rate of 4 m³/sec.

The cylinder has a height of 10 m and a radius of 2 m.

When the height is 3 m, we need to find out at what rate is the height of the water changing.

To find dh/dt when h = 3 m, we need to use the formula for the volume of a cylinder, that isV = πr²h

Here, h = height of water, r = radius of the cylinder.

We need to differentiate both sides of the formula with respect to time t, that is, dV/dt = πd/dt (r²h)

From the given information, we know that dV/dt = -4 m³/sec (because water is leaking out)

Radius of the cylinder, r = 2 m

Volume of the cylinder, V = πr²h = π × 2² × 10 = 40π m³

Differentiating the formula, we get:dV/dt = π[(d/dt)(r²h)]d/dt(r²h) = [dV/dt] / [πr²]

We need to find dh/dt, so substitute the values in the above formula:

d/dt(r²h) = [dV/dt] / [πr²]d/dt(2² × h) = -4 / [π × 2²]

dh/dt = -4 / [4π]h²dh/dt = -1 / [πh²]When h = 3 m, we get

dh/dt = -1 / [π × (3)²] = -1 / (9π)

Therefore, dh/dt = -1/9π m/sec.

Answer: dh/dt = -1/9π m/sec.

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No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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-17 19 55 91 127 163

36 36 36 36 36

6^2 6^2 6^2 6^2 6^2

It's a second degree sequence

Answer: (y - 5)² = y² - 10y + 25

Concept:

There are in total three general types of parentheses-squared method:

Solve:

Given = (y - 5)²

Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].

(a - b)² = a² - 2ab + b²

(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25

Hope this helps!! :)

Please let me know if you have any questions

Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

Let's call the greater number "x" and the lesser number "y". According to the problem, we know that:

x - y = 48  (since the difference between the two numbers is 48)

y = (1/3)x   (since the lesser number is one third of the greater number)

Now we can substitute the second equation into the first equation:

x - (1/3)x = 48

Simplifying this equation, we get:

(2/3)x = 48

Multiplying both sides by 3/2, we get:

x = 72

Now that we know x, we can use the second equation to find y:

y = (1/3)x = (1/3)(72) = 24

So the two positive numbers are 72 and 24.

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Answer:

\(40... = = > > < .01\)

Each type of interviewer should be hired in order to maximize the number of interviews are 0 undergraduate students, 16 graduate students, and 4 faculty members and the maximum number of interviews is 644 according to the statistics given.

If n = the number of interviews, then let x = the number of undergraduate students hired, y = the number of graduate students employed, z = the number of faculty members hired.

The purposeful action is:

maximization of n = 30x + 32y + 33z

The limitations are: x + y + z 20; 100x + 150y + 200z 3200; and 0;

The answer is 644 because x = 0, y = 16, z = 4.

To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics given.

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The key difference between hypergeometric distribution and the binomial is which with the hypergeometric distribution,the probability of success changes from trial to trial.

The hypergeometric distribution is used when sampling without replacement whereas the binomial distribution is used when sampling with replacement.

We know in the hypergeometric distribution,

Each trial affects the probability of success for the remaining trials which is not the case in the binomial distribution where the trials are independent of each other.

The random variable in both distributions is discrete, not continuous.

There is no need for the probability of success to be less than 0.5 in either distribution.

Hence,

The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution, the probability of success changes from trial to trial.

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Answer:

75%

increase

Answer:

36

Step-by-step explanation:

8*9=72 72/2=36

Answer:

(x-4)(x-3)

Step-by-step explanation:

quadratic equation is always squared so I will squared it myself

Answer:

y = -4

Step-by-step explanation:

6 - 3y = 6

now were going to get the variable and the numbers on different sides

6 - 3y - 6 = - 3y

6 + 6 = 12

now divide each side by -3

-3y / -3 = y

12 / -3 = -4

y = -4

Answer:

D

Step-by-step explanation:

Answer:

Below,...!

Step-by-step explanation:

#1 = 5 / 3 * 2 = 3.333...

#2 = 2 / 9 * 12 = 2.666...

#3 = 8 / 5 * 4 = 6.4

#4 = 7 / 4 * 10 = 17.5

Chow,...!

Answer:

3.33 ( 5 over 3 times 2 )

2.66 ( 2 over 9 times 12 )

6.4 ( 8 over 5 times 4 )

17.5 ( 7 over 4 times 10 )

Step-by-step explanation:

hope this helps

Answer:

1027202

Step-by-step explanation:

1,027,202

You are in high school you should know how to add.

Answer:

341 = 273k - 79 or 273k - 79 = 341

If two lines lie in the same plane and are perpendicular to the same line they are perpendicular is TRUE.

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines.

Parallel lines are those lines in which slopes are the same and the distance between them remains constant.

If a line is perpendicular to another then they will make 90 degrees at the intersection.

So if another line is also making 90 degrees it means both lines must be in the same direction so they will be parallel as given in the image below.

Hence "If two lines lie in the same plane and are perpendicular to the same line they are perpendicular is TRUE".

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Let sides be n

Central angle is divided by n sides of polygon

Hence

It has sides as 9

Answer:

4921/90

Step-by-step explanation:

The probability that a randomly selected junior biology major has taken either a statistics or a computer course is 0.68

To find the probability that a randomly selected junior biology major has taken either a statistics or a computer course (or both), we'll use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

Where:
- P(A) is the probability of having taken a statistics course (52% or 0.52)
- P(B) is the probability of having taken a computer course (23% or 0.23)
- P(A and B) is the probability of having taken both courses (7% or 0.07)

Now, plug in the values:

P(A or B) = 0.52 + 0.23 - 0.07
P(A or B) = 0.68

So, the probability that a randomly selected junior biology major has taken either a statistics or a computer course (or both) is 0.68, or 68%.

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Answer:

Up 6 over 8, 6/8, or .75/100

Step-by-step explanation:

I'm not sure how to explain it but yeah I'm pretty sure this is it

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Answer:

<B =121

Step-by-step explanation:

If the angles form a linear pair, they add to 180

6x-19 + 11x-22 = 180

Combine like terms

17x -41 = 180

Add 41 to each side

17x-41+41 = 180+41

17x = 221

Divide by 17

17x/17 =221/17

x =13

<b = 11x-22 = 11*13 -22 = 143-22 =121

Step-by-step explanation:

y=5(x+1/5)² -36/5

y=5(x+1/5)² -36/5

Answer:

(-infinity,1/2) union (3/4,+infinity)...hope it helped you

Answer:

c = -1068

d = -1000

Step-by-step explanation:

c = -89 × 12

c = -1068

d × 88 = - 88,000

d = - 88,000 ÷ 88

d = - 1000

Hope this helps!

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Since the object is in free fall the acceleration of the object is approximately

The value of h(x) at x = 2 is 3.

Given that f(x) and g(x) are differentiable functions with f(2) = 5, g(2) = 3, f′(2) = 1/2, and g′(2) = 2, and the new function h(x) is defined as h(x) = 3f(x) − 4g(x), we can find h'(2) by using the derivative rules for sums and products:

h'(x) = 3f'(x) - 4g'(x)

By plugging in the given values for f'(2) and g'(2), we get:

h'(2) = 3(1/2) - 4(2) = 3/2 - 8 = -6.5

Therefore, the derivative of h(x) at x = 2 is -6.5.

To find h(2), we can plug in the given values for f(2) and g(2) into the equation for h(x):

h(2) = 3f(2) - 4g(2) = 3(5) - 4(3) = 15 - 12 = 3

In conclusion, the derivative of h(x) at x = 2 is -6.5 and the value of h(x) at x = 2 is 3.

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