Workbook Reference:
Perform the indicated operations. Write answer in descending order.
Add -5y and 3y - 5

Answer:

$21,225 , $30,675 , $19,650

The probability that, during a given week, the student will spend between 10 and 20 hours studying the course IMSE 317/BENG364 is approximately 0.8314 or 83.14%.

To calculate the probability that a student will spend between 10 and 20 hours studying the course IMSE 317/BENG364 during a given week, we need to use the properties of the normal distribution.

Given that the time spent studying follows a normal distribution with a mean (μ) of 15.5 hours and a standard deviation (σ) of 3.6 hours, we can standardize the values of 10 and 20 using the z-score formula:

z = (x - μ) / σ

For 10 hours:

z1 = (10 - 15.5) / 3.6 ≈ -1.53

For 20 hours:

z2 = (20 - 15.5) / 3.6 ≈ 1.25

Next, we need to find the cumulative probabilities associated with these z-scores using a standard normal distribution table or statistical software.

The probability of the student spending less than 10 hours is P(X < 10), which is equivalent to P(Z < -1.53). Looking up the z-score in the standard normal distribution table, we find that the cumulative probability is approximately 0.0630.

Similarly, the probability of the student spending less than or equal to 20 hours is P(X ≤ 20), which is equivalent to P(Z ≤ 1.25). Looking up the z-score in the standard normal distribution table, we find that the cumulative probability is approximately 0.8944.

To find the probability of the student spending between 10 and 20 hours, we subtract the probability of spending less than 10 hours from the probability of spending less than or equal to 20 hours:

P(10 ≤ X ≤ 20) = P(X ≤ 20) - P(X < 10) ≈ 0.8944 - 0.0630 ≈ 0.8314

Therefore, the probability that, during a given week, the student will spend between 10 and 20 hours studying the course IMSE 317/BENG364 is approximately 0.8314 or 83.14%.

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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its lang allam ko. human is rescures till hitman

The pair of variables with an inverse relationship is y = 1/x. This relationship can be seen by graphing the two variables on a coordinate plane and observing the shape of the graph.

As x increases, y decreases and as x decreases, y increases. This is because the equation y = 1/x can be written as y = c/x, where c is a constant. Since c is a constant, as the value of x increases, the value of y decreases, and vice versa.

For example, if x = 4, then y = 1/4, or 0.25. If x increases to 8, then y decreases to 1/8, or 0.125. On the other hand, if x decreases to 2, then y increases to 1/2, or 0.5. As can be seen, as x increases, y decreases, and as x decreases, y increases, which shows the inverse relationship between the two variables.

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The equation of parabola will be x^2 = 20y.

The given focus is (0, 5) and the given directrix is y = -5.

Let (x, y) be any point on the parabola.

The distance from (x, y) to the focus (0, 5) is given by:

sqrt((x-0)^2 + (y-5)^2)

The distance from (x, y) to the directrix y = -5 is simply |y - (-5)| = |y + 5|

By definition of a parabola, these distances are equal. Therefore, we have:

sqrt((x-0)^2 + (y-5)^2) = |y + 5|

Squaring both sides, we get:

\((x-0)^{2} + (y-5)^{2} = (y + 5)^{2}\)

Simplifying and rearranging, we get:

\(x^{2}\) = 4(5)y

Therefore, the equation of the parabola with focus (0, 5) and directrix y = -5 is:

\(x^{2}\) = 20y.

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Okay, here we have this:

First we are going to convert the equation to the form slope-intersect:

6x+3y=-18 -6x+3y=-18

3y=-18-6x 3y=-18+6x

y=(-18-6x)/3 y=(-18+6x)/3

y=-2x-6 y=2x-6

Now, if we graph the equations we obtain the following:

The solution to the equation system are the points where the lines intersect, therefore the only solution we obtain is (0, -6)

Answer:

124

Step-by-step explanation:

If you are talking about angles, then the answer is 124 degrees. Question is a little open, though.

I hope this helps!

Answer:

The correct answer is 64

Step-by-step explanation:

we know that,

volume =4x

=4×4×4

=64

Answer:

64

Step-by-step explanation:

Answer:

12 whole hours, 12.857 hours exact

Step-by-step explanation:

560 km/ 8 hr = 70 km/ 1 hour

900 km / 70km = 12.857 hours

Answer:

(900km×8hrs)/560km = 12.9hrs

1 hr = 60 mom

0.9hrs =?

0.9×60 = 54 mins

our answer - 12 hrs 54mins

Answer:

send one

the second one boi

Step-by-step explanation:

pls help

The cost for a person to rent the truck for two days and drive 75 miles will be $62.4.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A moving company rents trucks for $19.95 per day plus $0.25 per mile for the first 50 miles. The company charges $0.40 per mile after the first 50 miles.

Then the cost for a person to rent the truck for two days and drive 75 miles will be

⇒ $19.95 × 2 + $0.25 × 50 + $0.40 × 25

⇒ $39.9 + $12.50 + $10

⇒ $62.4

The cost for a person to rent the truck for two days and drive 75 miles will be $62.4.

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Answer:

100 small fish will be in 200 gallons of water. 40 large fish will be in 200 gallons of water.

Step-by-step explanation:

200/10=20

20*5=100 small fish

200/40=5

5*8=40 large fish

100+40=140 total fish

small fish/large fish=100/40=10/4=5/2 is the ratio

The test statistic is approximately 0.8314 (rounded to 4 decimal places).

To determine if U.S. residents with a high school diploma make significantly more than those with a GED, we can conduct a two-sample t-test.
The null hypothesis (H0) assumes that there is no significant difference in the average yearly income between the two groups.

The alternative hypothesis (Ha) assumes that there is a significant difference.

Using the formula for the test statistic, we calculate it as follows:
Test statistic = (x₁ - x₂) / √((s₁² / n₁) + (s₂² / n₂))
Where:
x₁ = average yearly income of group 1 ($35,621)
x₂ = average yearly income of group 2 ($34,598)
s₁ = standard deviation of group 1 ($3,510)
s₂ = standard deviation of group 2 ($3,510)
n₁ = number of observations in group 1 (100)
n₂ = number of observations in group 2 (120)
Substituting the values, we get:
Test statistic = (35621 - 34598) / √((3510² / 100) + (3510² / 120))
Calculating this, the test statistic is approximately 0.8314 (rounded to 4 decimal places).

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Answer:

\(381 \times 88\% \\ \\ = 381 \times \frac{88}{100} \\ \\ = \frac{33528}{100} \: \: \: \: \: \: \: \\ \\ = 335.28 \: \: \: \: \: \: \: \)

Thank you

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Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

The meaning of the | symbol for the conditional probability is given as follows:

d. Given.

Conditional probability is the probability of one event happening, considering the result of a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

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Answer:

3w - 4 1/2

Step-by-step explanation:

6/2w- 18/4 distribute the 6

3w- 4 1/2 simplify

The data sufficiency question if t and x are integers, so on finding the value of x both the given statements are not sufficient.

It is given that t and x are integers

Statement 1: x²/t² = 4/9

Let us test some values. There are many values of x and t that satisfy statement 1.
Here are two cases:

Case a: Taking x = 2 and t = 3. Noticing that x²/t² = 2²/3² = 4/9. So, here in this case x = 2

Case b: Taking x = 20 and t = 30. Noticing that x²/t² = 20²/30² = 400/900 = 4/9. So, here in this case x = 20

Since we cannot answer the given question with certainty, so statement 1 is NOT SUFFICIENT

Statement 2: It is given that x > 0 and t > 0 Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined

There are many values of x and t that satisfy BOTH statements. Here are two cases:

Case a: Taking x = 2 and t = 3. Noticing that x²/t² = 2²/3² = 4/9. So, here in this case x = 2

Case b: Taking x = 20 and t = 30. Noticing that x²/t² = 20²/30² = 400/900 = 4/9. So, here in this case x = 20

Since we cannot answer the given question with certainty, the combined statements are NOT SUFFICIENT

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Answer:

There is not enough evidence to support the claim that drug is effective at 1%

Step-by-step explanation:

For this we use the pored test as we have dependent test;

Difference :

10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

The mean of d, dbar = Σd / n = 44 / 18 = 2.44

The standard deviation, Sd = 4.45 (using calculator)

The test statistic, T : dbar / (Sd/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

The Pvalue = 0.0326

α = 0.01

Since Pvalue < α ; we fail to reject H0

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Answer:

I THINK ITS MC

Step-by-step explanation:

Answer:

Whats the question

Step-by-step explanation:

also if you are looking for the unit rate its 153.846...

or if you are looking for how many in 2 years then 650,000

Hope this helps

Have a nice day :)

Answer:

I don't know the answer

Step-by-step explanation:

it's hard solve it for me

To determine whether you should take earthquake insurance, you need to compare the utility of reducing your total assets by the cost of the insurance with the expected utility of not taking the insurance. Let's denote the cost of the insurance as C and the probability of an earthquake causing financial loss as P.

If you take the insurance, your total assets will be (x - C), and the utility will be u(x - C) = V1(x - C).

If you don't take the insurance, the expected utility can be calculated as the weighted average of the utility in case of an earthquake (which causes a financial loss) and the utility in case there is no earthquake. Let's denote the financial loss caused by an earthquake as L. The expected utility of not taking the insurance is:

Expected utility = P * u(x - L) + (1 - P) * u(x) = V1(P * (x - L) + (1 - P) * x)

Now, compare the utilities:

- If u(x - C) > Expected utility, then you should take the insurance.
- If u(x - C) < Expected utility, then you should not take the insurance.
- If u(x - C) = Expected utility, then you are indifferent between taking and not taking the insurance.

Use the provided utility function and the specific values for x, C, L, and P to make your decision.

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The value of x is equal to -17/3, that is x = -17/3.

Given that:

Parallelogram ABCD

m∠ACD = (7x – 12)°

And m∠BDC = (10x + 5)°

In a parallelogram, opposite angles are congruent. Therefore, set up an equation using the given angle measures:

m∠ACD = m∠BDC

Substitute the given angle expressions into the equation:

7x - 12 = 10x + 5

Now, solve for x:

Subtract 7x from both sides:

7x - 7x - 12 = 10x - 7x + 5

-12 = 3x + 5

Subtract 5 from both sides:

-12 - 5 = 3x + 5 - 5

-17 = 3x

Finally, divide by 3 to solve for x:

x = -17 / 3

Therefore, the value of  x = -17/3.

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Answer:

excuse me friend, for you to get the next pattern, you have to know what has been done from this number to the other number.

so from 3 to 6 it was a + 3 from 6 to 11 it was a+5 from 11 to 18 it was a + 7.

if you look carefully,2,3 and 7 are odd numbers meaning that the next pattern should be an odd number (9) which will be added to the numbers at the top.

you can still say that they were increasing by 2. (3 to 5 to 7)

so you can add 2 to 7 to get a nine. then,add 9 to 18 to get a 27.

Good day.