The region bounded by chord and arc is called ________.

Select one:
a. Sector
b. Segment
c. Both a and b
d. None of the above

The total number of red blood cells produced by human body in each minute is given by [ 1.2 × 10^8​ ] red blood cells

Number of red blood cells produced by human body = 4. 8 × 10^6

Time taken by human body to produce 4. 8 × 10^6 red blood cells

= 4×10^(−2)​ minute

Number of red blood cells produced by human body in one minute are :

4 × 10^(−2)​ minute = 4. 8 × 10^6 red blood cells

⇒ 1 minute =  [ 4. 8 × 10^6 / 4 × 10^(−2)​ ] red blood cells

⇒ 1 minute =  [ 1.2 × 10^( 6 - (−2) )​ ] red blood cells

⇒ 1 minute =  [ 1.2 × 10^( 6 + 2) )​ ] red blood cells

⇒ 1 minute =  [ 1.2 × 10^8​ ] red blood cells

Therefore, total number of red blood cells produced by human body in one minute is equal to [ 1.2 × 10^8​ ] red blood cells.

The above question is incomplete, the complete question is:

The human body produces about4. 8×10^6​ red blood cells in 4×10^(−2)​ minute. How many red blood cells does the body produce each minute? Write your answer in scientific notation and in standard form.

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Answer:

c

Step-by-step explanation:

The pooled standard deviation will be True

The average range of all data points about their group mean is known as the pooled standard deviation (not the overall mean). It is the weighted average of the standard deviations for each group. Larger groups have a proportionately greater impact on the overall estimate because to the weighting.

Compare the ratio of the two sample standard deviations as a quick way to verify this. The ratio would be 1, or, in the event that the two are equal. However, we cannot anticipate the ratio to be exactly 1, as they are samples and as a result, there will be some mistake. A decent Rule of Thumb to apply is to see if the ratio falls between 0.5 and 2 when the sample sizes are nearly equal (granted, "nearly equal" is a bit imprecise, so frequently if sample sizes are small one requires they be equal). In other words, neither sample's standard deviation is greater than its counterpart.

Therefore, the pooled standard deviation will be True

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Answer: 7.3

Step-by-step explanation:

Do the parentheses first!

4-7= -3

Then, multiply -3 by 2

-3×2= -6

Next,

-6-6.7= -12.7

Then, add -12.7 to 20

-12.7+20=7.3

Your answer is 7.3

Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

Answer:

1/3

Step-by-step explanation:

\(\sqrt[4]{4x+10}\) = 4x+10 ^1/4

\(\sqrt[4]{9+7x}\)= 9+7x^1/4

Since they are under the same root, you can combine them under the root.

Then you change the +/- sign of one side of the equation to move to the other side of the equation.

To get....\(\sqrt[4]{-3x+1}\)=0

^4 both sides to get..

-3x+1=0

Move 1 to the other side...

-3x=-1

divide both sides by -3

x=1/3

The probability mass function (pmf) of the random variable x is:

Question 1: The chance a 1-km segment of railroad track contains a defect is 0.01. Assume the 1-km segments of track are independent. a. Compute the probability that exactly 125 km of track need to be tested before a defect is found. b. On average, how many 1-km segments of railroad track have to be tested before a defect is found?

Answer 1: a. The probability that exactly 125 km of track need to be tested before a defect is found is 0.000148. b. On average, 125.01 1-km segments of railroad track need to be tested before a defect is found.

Question 2: A geotechnical engineering company conducted a study that indicates there is a 20% chance a borehole in a certain neighborhood will find a layer of clay no more than 20 m deep. a. Compute the probability that the third layer of clay within 20 m is found on the seventh borehole drilled. b. Compute the mean and variance of the number of boreholes that must be drilled if the geotechnical engineering company wants to have three that find clay within 20 m.

Answer 2: a. The probability that the third layer of clay within 20 m is found on the seventh borehole drilled is 0.02. b. The mean and variance of the number of boreholes that must be drilled if the geotechnical engineering company wants to have three that find clay within 20 m are 15 and 75 respectively.

Question 3: Dam failures are rare and are estimated to occur on average once every five years. a. Compute the probability there will be at least one dam failure in the next 10 years. b. Draw a pmf that describes the random variable x.

Answer 3: a. The probability that there will be at least one dam failure in the next 10 years is 0.8187. b. The probability mass function (pmf) of the random variable x is:

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The ratio of the volume of cylinder C to the volume of cylinder D is ∛6:1.

To determine the ratio of the volume of cylinder C to the volume of cylinder D, we need to consider the relationship between the scale factors of the cylinders.

Given that the ratio of the volume of cylinder A to the volume of cylinder B is 5:1, we can infer that the scale factor between A and B is the cubic root of the volume ratio, which is ∛(5/1) = ∛5.

Similarly, the scale factor between cylinder B and cylinder D is 3:1, which implies that the cubic root of the volume ratio is ∛(3/1) = ∛3.

Now, we know that cylinder A is similar to cylinder C with a scale factor of 2:1. This means that the scale factor between A and C is 2:1, and the cubic root of the volume ratio is ∛(2/1) = ∛2.

By combining the scale factors, we can find the ratio of the volume of cylinder C to the volume of cylinder D:

Ratio of C to D = (Ratio of A to C) * (Ratio of B to D)

= ∛2 * ∛3

= ∛(2*3)

= ∛6

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Answer:

20,608 dollars

Step-by-step explanation:

16 x 4 = 64 was made for each student

64 x 322 = 20,608 dollars

Answer:

$20,608

Step-by-step explanation:

Because 322 * 16 = 5152 tickets

5152 * 4 = 20608

The total cost C as a function of the number of units produced is C(x) = 248000 + 68.28x, the revenue function is R(x) = 98.96x and the profit function is P(x) = 98.96x - 248000 - 68.28x

The given parameters are

Fixed cost = $248,000

Variable cost = $68.28

Hence, the total cost C as a function of the number of units produced is C(x) = 248000 + 68.28x

Here, we have

Selling price = $98.96

This means that

R(x) = Selling price * x

Hence, the revenue function is R(x) = 98.96x

This is calculated as:

P(x) = R(x) - C(x)

So, we have:

P(x) = 98.96x - 248000 - 68.28x

Hence, the profit function is P(x) = 98.96x - 248000 - 68.28x

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Answer:

5/12

Step-by-step explanation:

Answer:

Explanation:

From the graph, the points are best modeled using an exponential function.

Among the given options, Options 3 and 4 are exponential functions.

The third and fourth functions are tested below:

Option 3

Option 4

From the above, we can see that the function that best fits the data shown in the scatterplot is:

Answer:

$10

Step-by-step explanation:

This question has missing details.

The given parameters from the complete question is:

\(Slushy\ Cup = \$5\)

\(Refill = \$1\)

Required

Total amount for 1 cup and 5 refills

Let

\(x \to\) Slushy Cup

\(y \to\) Refill

So, the expression for the total amount is:

\(Total = 5x + y\)

\(x =1\) -- 1 cup

\(y = 5\) -- 5 refills

So, the total is:

\(Total = 5 * 1 + 5\)

\(Total = 5 + 5\)

\(Total = 10\)

Answer:

Ok:

Step-by-step explanation:

For a 45-45-90 triangle, the ratio between the sides are 1 – 1 – \(\sqrt{2}\). This can be proven by the pythagorean theorem. Therefore, if we let one of the sides by x, it means that x*\(\sqrt{2\\}\) = 3 or x = \(\frac{3}{\sqrt{2} }\).

Ricardo has to save for a minimum of 44 weeks.

For the salary earner, the way of savings is the way that he or she may be able to achieve the gals of life. In the case of the question that we have here, at his current job, he makes $1,000 per week, and spends $300 each week on his expenses.

The target amount that he wants to save is  $30,800.

Total income per week = $1,000

Expenses per week = $300

Amount saved per week = $700

To save  $30,800;

700n =  $30,800

n = Number of weeks

n =  $30,800/700

n = 44 weeks

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A graph of the solution of the inequality is: graph F.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given inequality by making x the subject of formula as follows;

x - 5 < 14

By adding 5 to both sides of the inequality, we have the following:

x - 5 + 5 < 14 + 5

x < 19

Note: The line on a number line should be open when the inequality symbol is greater than (>) or less than (<).

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Using the properties of unit rate we can calculate that Casey can alter 18 costumes in 1 hour.

In mathematics, a rate is the ratio of two related variables expressed in distinct units. If one of these variables is expressed as a single unit in the ratio's denominator, and it is assumed that this quantity can be modified on a regular basis (i.e., is a variable and the independent), the ratio's numerator expresses the comparable rate of change in another (dependent) variable.

A rate is generally thought of as an output-input ratio or a benefit-cost ratio. Miles per hour, for example, is the output (or profit) in terms of miles travelled from travelling somewhere for a few hours (a cost in time) (at this velocity).

Rate at which Casey can alter the clothes = 4 per hour. this is the unit rate.

Now the time allotted to Casey is 4.5 hours. So we multiply the time with the unit rate.

Number of costumes altered = 4 × 4.5 = 18 costumes .

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Answer:

The correct answer is 1.

Step-by-step explanation:

In order to solve the problem \(\frac{3}{9}\)  + \(\frac{2}{3}\), we need can use two methods.

Method 1: Make the denominators the same.

3/9 + 2/3 =

3/9 + 6/9 =

9/9 =

1

Method 2: Turn both fraction into decimals (by dividing the numerator by the denominator.)

3/9 or 3 ÷ 9 = 0.3 (when rounded to the nearest tenth)

2/3 or 2 ÷ 3 = 0.7 (when rounded to the nearest tenth)

0.3 + 0.7 = 1

Therefore, the answer to this question is 1.

The equivalent fraction for 2/3 and 8/11 is 22/33 and 24/33.

What is least common denominator?

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.

Given fractions are

2/3 and 8/11

L.C.M of 3 and 11 is 33.

We get,

2/3 ×11/11 = 22/33

and

8/11×3/3 = 24/33

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Answer:

1:7 is the ratio

Step-by-step explanation:

the difference between 21 and 14 is 7. it also goes into 35.

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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Answer:

A:(5,6)

Step-by-step explanation:

change the x to eqaul 5

John will pay $1194.54 in interest over one year at a 12% per annum interest rate compounded monthly.

To calculate the amount of interest John will pay in one year at a 12% per annum interest rate compounded monthly

\(A = P(1 + \frac{r}{n} )^{(nt)}\)

Principle = $9000

rate = 0.12 (12% as a decimal)

number = 12 (monthly compounding)

time = 1 (one year)

John borrowed $9000 at an annual interest rate of 12%

Substitute the values in the formula,

\(A = 9000(1 + \frac{0.12}{12} )^{(12*1)}\\\\A = 9000(1.01)^{12}\)

A = $10,194.54

So the total amount that John will have to pay back after one year is $10,194.54.

Interest = $10,194.54 - $9000

Interest = $1194.54

Therefore, John will pay $1194.54 in interest over one year at a 12% per annum interest rate compounded monthly.

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The solution to the given differential equation is \(y(x) = -x^4/25 + x^2/15 - (3/25)e^(-3x) + (1/2)x^4cos(x) + (1/2)x^2sin(x) + C1e^(-3x) + C2\), where C1 and C2 are arbitrary constants.

To solve the given differential equation using the method of undetermined coefficients, we assume a particular solution of the form \(y_p = A(x^4 + Bx^2e^(-3x) + Csin(x))\), where A, B, and C are undetermined coefficients.

Step 1:

Differentiating y_p with respect to x, we obtain \(y_p' = 4Ax^3 + 2Bx(e^(-3x) - 3xe^(-3x)) + Ccos(x).\)

Taking the second derivative, we have \(y_p" = 12Ax^2 + 2B(e^(-3x) - 3xe^(-3x)) + 2Bx(-3e^(-3x) + 9xe^(-3x)) - Csin(x).\)

Step 2:

Substituting y_p, y_p', and y_p" into the given differential equation, we get:

\((12Ax^2 + 2B(e^(-3x) - 3xe^(-3x)) + 2Bx(-3e^(-3x) + 9xe^(-3x)) - Csin(x)) + 5(4Ax^3 + 2Bx(e^(-3x) - 3xe^(-3x)) + Ccos(x)) = 2x^4 + x^2e^(-3x) + sin(x).\)

Simplifying the equation and grouping the like terms, we have:

\((12A + 20Ax^3) + (-6B + 10Bx)e^(-3x) + (-15Bx^2 + 9Bx^3) + (12A + 10C)cos(x) + (-C + 2Bx)sin(x) = 2x^4 + x^2e^(-3x) + sin(x).\)

Comparing the coefficients of the terms on both sides, we can determine the values of A, B, and C. Equating the coefficients of each term, we obtain:

\(12A + 20Ax^3 = 2x^4,\)

\(-6B + 10Bx = x^2e^(-3x),\)

\(-15Bx^2 + 9Bx^3 = 0,\)

12A + 10C = 0,

-C + 2Bx = sin(x).

Solving these equations, we find A = -1/25, B = 1/15, and C = 0.

Therefore, the particular solution is \(y_p = (-1/25)x^4 + (1/15)x^2e^(-3x) + (1/2)x^2sin(x).\)

To obtain the general solution, we add the particular solution y_p to the complementary function y_c, where y_c is the solution of the homogeneous equation y" + 5y' = 0. The general solution is given by y(x) = y_c + y_p.

The complementary function can be found by solving the homogeneous equation:

y" + 5y' = 0.

The characteristic equation associated with the homogeneous equation is r^2 + 5r = 0. Solving this quadratic equation

, we find two distinct roots: r = 0 and r = -5.

Therefore, the complementary function is \(y_c = C1e^(-5x) + C2\), where C1 and C2 are arbitrary constants.

Finally, the general solution to the given differential equation is:

\(y(x) = C1e^(-5x) + C2 - (1/25)x^4 + (1/15)x^2e^(-3x) + (1/2)x^2sin(x).\)

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Answer:

Step-by-step explanation:

Remark

What you want to do is get r on one side of the equal sign and everything else on the other.

Givens

V = pi r^2 h

Solution

Divide by pi

V/pi = pi r^2 h/pi

V/p = r^2 * h

Divide by h

V / h pi = r^2 h / h              Cancel h on the right side. Turn equation around

r^2 =  V / h pi

Take the square root of both sides

√r^2 = √(V / h pi )

r = √ (V / h pi)

Answer r =√ (V / h pi)

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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The F-distribution is used to test the significance of the population coefficient of determination (option D).

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.

To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.

The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.

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Answer:

\(0\)

Step-by-step explanation:

\( \frac{8 - m}{n + p {}^{2} } = \frac{8 - 8}{2 + 49} = \frac{0}{51} = 0\)

Answer:

a. 25%

b. 6.5%

c. 20%

Step-by-step explanation: