koalas sleep for 20hours a day. For what fraction of a day do koalas sleep?

The 95% confidence interval for the standard deviation of the height of students at UH is (1.918, 5.732), which corresponds to option b.

To construct a 95% confidence interval for the standard deviation of the height of students at UH, we will use the Chi-square distribution. Given the sample standard deviation (s) of 3.2 feet, a sample size (n) of 19 students, and assuming normality for the data, we can find the confidence interval as follows:
1. Determine the degrees of freedom: df = n - 1 = 19 - 1 = 18
2. Identify the Chi-square values for the confidence level (95%): χ²_lower = 7.632, χ²_upper = 32.852 (using a Chi-square table or calculator)
3. Calculate the lower and upper bounds of the confidence interval:
Lower bound = sqrt((n - 1) * s² / χ²_upper) = sqrt(18 * (3.2)² / 32.852) ≈ 1.918
Upper bound = sqrt((n - 1) * s² / χ²_lower) = sqrt(18 * (3.2)² / 7.632) ≈ 5.732

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The 95% confidence interval for the standard deviation of the height of students at UH is approximately (1.918, 5.732), Option B.

Construct a 95% confidence interval for the standard deviation of the height of students at UH, we'll use the given data and the Chi-Square distribution.

Here's a step-by-step explanation:
SRS (simple random sample) of 19 students, which means the degrees of freedom (df) = n - 1 = 19 - 1 = 18.
The sample standard deviation (s) is given as 3.2 feet.
Assume normality for the data.
A 95% confidence interval, we'll use the Chi-Square distribution table to find the critical values.

The two tail probabilities are 0.025 and 0.975, so we'll look up the Chi-Square values for 18 degrees of freedom and these probabilities:
\(- X^2_{0.025} = 30.191 (upper limit)\)
\(- X^2_{0.975} = 8.231 (lower limit)\)
Calculate the confidence interval for the population standard deviation (σ):
\(\((\sqrt((n - 1) \times s^2 / X^2_{upper}), \sqrt((n - 1) \times s^2 / X^2_{lower}))\)\)
Plug in the values:
\(- n = 19\)
\(- s = 3.2\)
\(- df = 18\)
\(\(- X^{2} _{upper} = 30.191\)\)
\(\(- X^2_{lower} = 8.231\)\)
Calculate the confidence interval:
\((√((18 \times 3.2^2) / 30.191), \sqrt((18 \times 3.2^2) / 8.231)) \approx (1.918, 5.732)\)

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Answer:

B, 10+ /10 units

Step-by-step explanation:

Answer: 0.4%

Step-by-step explanation:

Total number of people 9000, divide the number of allergic reactions 36 by 9000.

36/9000=0.004

Now multiply 0.004 x 100 to reveal percent allergic reaction

0.004 x 100 = 0.4%

0.4% had allergic reactions

Answer:

98

Step-by-step explanation:

So we have the expression:

\(6x+10y\)

And we want to evaluate it when x is 3 and y is 8.

So, substitute:

\(=6(3)+10(8)\)

Multiply:

\(=18+80\)

Add:

\(=98\)

And we're done!

Answer:

(x - 36) is the measure of the angle A  

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

Answer:

5 minutes to run a kilometer please give me brainlyest

The Laplace transform of a cos(ωt) b sin(ωt) is [(a + ib)s]/[(s^2) + ω^2].

We can use the identity cos(a)sin(b) = (1/2)(sin(a+b) - sin(a-b)) to write:

a cos(ωt) b sin(ωt) = (a/2)(e^(iωt) + e^(-iωt)) + (b/2i)(e^(iωt) - e^(-iωt))

Taking the Laplace transform of both sides, we get:

L{a cos(ωt) b sin(ωt)} = (a/2)L{e^(iωt)} + (a/2)L{e^(-iωt)} + (b/2i)L{e^(iωt)} - (b/2i)L{e^(-iωt)}

Using the fact that L{e^(at)} = 1/(s-a), we can evaluate each term:

L{a cos(ωt) b sin(ωt)} = (a/2)((1)/(s-iω)) + (a/2)((1)/(s+iω)) + (b/2i)((1)/(s-iω)) - (b/2i)((1)/(s+iω))

Combining like terms, we get:

L{a cos(ωt) b sin(ωt)} = [(a + ib)/(2i)][(1)/(s-iω)] + [(a - ib)/(2i)][(1)/(s+iω)]

Simplifying the expression, we obtain:

L{a cos(ωt) b sin(ωt)} = [(a + ib)s]/[(s^2) + ω^2]

Therefore, the Laplace transform of a cos(ωt) b sin(ωt) is [(a + ib)s]/[(s^2) + ω^2].

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The Laplace transform of acos(ωt) + bsin(ωt) is (as + bω) / (s^2 + ω^2).

To find the Laplace transform of a function, we can use the standard formulas and properties of Laplace transforms.

Let's start with the Laplace transform of a cosine function:

L{cos(ωt)} = s / (s^2 + ω^2)

Next, we'll find the Laplace transform of a sine function:

L{sin(ωt)} = ω / (s^2 + ω^2)

Using these formulas, we can find the Laplace transform of the given function acos(ωt) + bsin(ωt) as follows:

L{acos(ωt) + bsin(ωt)} = a * L{cos(ωt)} + b * L{sin(ωt)}

= a * (s / (s^2 + ω^2)) + b * (ω / (s^2 + ω^2))

= (as + bω) / (s^2 + ω^2)

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surface area of a triangle is 1/2 x base x height.

1/2 x 10 x 12 = 60 square inches.

there are 4 triangular sides: 60 x 4 = 240 square inches

area of the base = 10 x 10 = 100 square inches

total surface area = 240 + 100 = 340 square inches

answer: 340 square inches

Answer:

d. vertical line

Step-by-step explanation:

A line with an undefined slope is a vertical line

Slope is the change in y over the change in x

When the slope is undefined, it means that the x does not change, which is a vertical line

Answer:

Line D

Step-by-step explanation:

Slope is defined as rise/run. Since a vertical line has zero run and infinite rise the equation is infinity/0 and anything divided by zero is undefined.

The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Answer:

  y = (4 -x)e^-2

Step-by-step explanation:

You want an equation of the tangent line to the graph of f(x) = xe^−x at its inflection point.

The inflection point on a curve is the point where the second derivative is zero, where the curve changes from being concave downward to concave upward, or vice versa.

We can use the product rule to differentiate f(x):

  (uv)' = u'v +uv'

  f'(x) = 1·e^-x +x·(-1)(e^-x) = (e^-x)(1 -x)

Then the second derivative is ...

  f''(x) = (-e^-x)(1 -x) +(e^-x)(-1) = (e^-x)(x -2)

The second derivative is zero where one of its factors is zero. e^-x is never zero, so we have ...

  (x -2) = 0   ⇒   x = 2

The point of inflection occurs at x = 2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For this problem, we have ...

  m = f'(2) = (e^-2)(1 -(2)) = -e^-2

  (h, k) = (2, f(2)) = (2, 2e^-2)

So, the equation of the tangent line is ...

  y -2e^-2 = -e^-2(x -2)

In slope-intercept form, this is ...

  y = (-e^-2)x +4e^-2

__

Additional comment

We can rearrange the equation to ...

  y = (4 -x)e^-2

Usually a tangent line touches the graph, but does not cross it. The tangent at the point of inflection necessarily crosses the graph.

Answer:

the answer is r (‑1)/​(6*​x)-​2.1

Step-by-step explanation:

Answer:

Answer is the graph below

Step-by-step explanation:

It is the green line by the way.

If this helps, please mark this as brainliest.

Answer:

Domain: {-3,-1,1,4,5}

Range: {-5,0,2,6}

Step-by-step explanation:

The domain is all the x values you are given in the table. They are put in order from least to greatest. The range is all the y values you're given in the table. They are also put in order from least to greatest.

Hope this helps!!

If you have your period every 4 weeks

Thare are 52 weeks in a year

Answer: 5

Step-by-step explanation:

Between F and G: \(\frac{-5-0}{-3-(-2)}=5\)

Between G and H: \(\frac{3-0}{-1-(-2)}=3\)

So, the greater rate of change is 5.

The answer is option B: 54,000,000/mL. The sperm concentration is 0.54 million per cubic centimeter, or 54 million per milliliter.

To calculate the sperm concentration using a Neubauer counting chamber, we can use the following formula:

Sperm concentration = (number of sperm counted ÷ number of counting squares) ÷ dilution factor

In this case, we have:

Number of sperm counted = 54

Number of counting squares = 5

Dilution factor = 1:20

First, we need to calculate the total volume of the diluted sperm sample that was loaded onto the counting chamber. To do this, we can use the following formula:

Total volume = volume of loaded sample ÷ dilution factor

Since the dilution factor is 1:20, this means that the volume of loaded sample is 1/20th of the total volume. The total volume depends on the depth of the chamber and is usually 0.1 mL (or 100 μL) for a standard Neubauer counting chamber. Therefore:

Total volume = 0.1 mL ÷ 20 = 0.005 mL

Next, we can calculate the sperm concentration using the formula above:

Sperm concentration = (54 ÷ 5) ÷ 1/20

Sperm concentration = 54 ÷ 5 × 20

Sperm concentration = 54 ÷ 100

Sperm concentration = 0.54 million/cc

Therefore, the answer is option B: 54,000,000/mL. The sperm concentration is 0.54 million per cubic centimeter, or 54 million per milliliter.

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Your question is incomplete, but probably the complete question is :

Using a 1:20 dilution and the 5 RBC counting squares of the Neubauer counting chamber, an average of 54 sperm is counted. The sperm concentration is:

A. 54,000/cc

B. 54,000,000/mL

C. 108,000/cc

D. 108,000,000/mL

The formula for the perimeter of a triangle is the sum of the length of all the sides of a triangle. For example, if the side lengths of a triangle are 4 cm, 4 cm, and 5 cm, then the perimeter of the triangle will be 4 + 4 + 5 = 13 cm.

I hope this helps!  o(〃＾▽＾〃)o

Answer:

f(x+3) = x² + 5x + 10

Step-by-step explanation:

We are given the following function:

f(x) = x²-x+1;

We have to find f(x+3).

To do so, every value of x on the function f is replaced by x+3. So

f(x) = x²-x+1;

Replacing each x by x+3

f(x+3) = (x+3)²-(x+3)+1 = x²+6x+9-x-3+1 = x² + 5x + 10

f(x+3) = x² + 5x + 10

The simplified equation of 7y + 8 = 9 + 3y + 2y is 2y = 1

The equation can be simplified as follows:

7y + 8 = 9 + 3y + 2y

We have to combine like terms

Hence,

7y + 8  = 9 + 3y + 2y

7y + 8 = 9 + 5y

subtract 5y from both sides

7y - 5y + 8 = 9 + 5y - 5y

2y + 8 = 9

Let's subtract 8 from both sides

2y + 8 - 8 = 9 - 8

2y = 1

Therefore, the simplified equation of 7y + 8 = 9 + 3y + 2y is 2y = 1

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To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Answer:

−19√2

Decimal Form:

−26.87005768…

Step-by-step explanation:

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer:

7/10 or 0.7

Step-by-step explanation:

hope it helps

Set variable bounds: Set the bounds for variables x, y, and z as "Non-negative".

To solve the given linear programming problem using Solver, follow these steps: Define the objective function: Set the objective function as "Max 9x + 5y + z" in the Solver dialog box. Define the constraints:  Add the constraint "2x + 5y + 4z <= 8" as a "≤" constraint. Add the constraint "2x - 3y + 5z <= 9" as a "≤" constraint. Add the constraint "2x - 2y + 12z >= 10" as a "≥" constraint. Set variable bounds: Set the bounds for variables x, y, and z as "Non-negative". Run Solver: Click "Solve" in the Solver dialog box to find the optimal solution.

After running Solver, it will provide the optimal objective value. The optimal objective value for this problem will depend on the specific values of x, y, and z obtained. Please run the Solver with the given LP problem to obtain the optimal objective value.

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Answer

Option C is correct

8x²y³ - 7xy⁴ - 5y

Explanation

The equation to be solved or reduced is

(56x⁴y⁵ - 49x³y⁶ - 35x²y³)/7x²y²

More properly written, the equation is

To solve this, we will break the division down and have each term carry the denominator and use the laws of indices to reduce the powers

Hope this Helps!!!

Answer: -2

Step-by-step explanation:

The information in the question can be used to form an equation which goes thus:

2nd term = a + d = 4 ...... i

5th term = a + 4d = 22 ....... ii

From equation i

a = 4 - d ........ iii

Put equation iii into ii

a + 4d = 22

(4 - d) + 4d = 22

4 - d + 4d = 22

4 + 3d = 22

3d = 22 - 4

3d = 18

d = 18/3

d = 6

Commons difference is 6

Since a + d = 4

a + 6 = 4

a = 4 - 6

a = -2

The first term is -2

The first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22 is -2

Given:

second term:

a + d = 4

fifth term:

a + 4d = 22

where

a = first be term

d = common difference

a + d = 4 (1)

a + d = 4 (1)a + 4d = 22 (2)

subtract (1) from (2)

4d - d = 22 - 4

3d = 18

d = 18 / 3

d = 6

substitute into (1)

a + d = 4 (1)

a + 6 = 4

a = 4 - 6

a = -2

Therefore, the first term of the sequence is -2

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Answer:

D

Step-by-step explanation:

If you put all the points in a xy plot, shown as below picture:

Then you can find it is a hexagon.