Here is a data set: 51, 47, 48, 51, 50, 8

Answer true or false for the following statements.

If you remove the outlier: 8

- the range will stay the same: false

- the mean will decrease: false

- the median will increase: true

Answer:

1. 20

2. 0

Step-by-step explanation:

1. 20

11 -12÷4+3 (6-2)

Brackets first

11-12÷4+3 x 4

Then division and multiplication

11-3+12

Subtraction next

8+12

Now addition

8+12=20

2. Anything divided by 0 is 0

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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The value of k that renders f(x) a valid density function is 7/6.

(a) Here, the density function is f(x)={ k(3−x^2), −1 ≤ x ≤ 1 0, elsewhere. ​

(i) To make f(x) a valid density function, we need to integrate it over the entire range and the result must be equal to 1.

Mathematically, it can be as follows:∫f(x)dx=1∫k(3−x^2)dx=1 k[3x−x^3/3]−1^1=1 k[(3−1/3)]−(−3k+1/3k)=1

So, k=15/8 (ii) We need to find P(x < 1/2) = P(-1/2 < x < 1/2)

Now, P(-1/2 < x < 1/2) = ∫f(x)dx over the range of -1/2 to 1/2.

Mathematically, it can be represented as follows:

∫-1/2^1/2f(x)dx=∫-1/2^1/2k(3−x^2)

dx=15/8*∫-1/2^1/2(3−x^2)

dx=15/8*[(3x- x^3/3)]|-1/2^1/2=15/8*[6/3-(-6/3) + 1/24 -(-1/24)]=15/8*[12/3+1/12]=15/8*49/12=7/16.

Therefore, P(x < 1/2) = P(-1/2 < x < 1/2) = 7/16.

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Answer:

the base should be a circle

Step-by-step explanation:

Answer: C. 3,500 grams

Step-by-step explanation:

Rodney got D as the answer by because he thought there are three zeros and adding 3 and 5 to the 1,000  35,000.

Because we know the unit rate: 1(kilogram) = 1,000(grams)

Rodney chose the incorrect answer.

Therefore, 3.5 x 1000 = 3,500 is correct

Answer:

The correct answer is C. 3500g

Step-by-step explanation:

3.5kg×1000=3500g

Rodney got answe D. by moving the decimal place of 3.5kg over by 4 places instead of 3.

His equation could have been 3.5kg×10000= 35000

Rodney did NOT choose the correct answer

Answer:

-4a

Step-by-step explanation:

Answer:

23% of 75 is 17.35 ok i hope it helps

The values of a and b in the equations are 100 each

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

The given equations are

a. 5x²/2 when x = 10

By substitution, a= 5(10)²/2

This implies that a=( 5 * 100)/2

a= 200/2 = 100

b = [2x²(x-5)]/10x

Substituting x=10 in the equation we have

b = 2*10²(10-5)]/[10(10)]

200(5)/100

b= 10000/100

Therefore b = 100

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The value of cos θ is equal to 1/3 when sec θ= √6/2.

Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.

Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.

In other words, secθ = 1/cosθ

Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.

cosθ = 1/secθ

We are given that secθ= √6/2

We can use this value to find cosθ= 1/secθ

cosθ = 1 / (√6/2)

To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).

cosθ = ((2/√6) / (√6/2) * (2/√6))

cosθ = (2/√6) / 1

cosθ = (2/√6 * √6/√6)

cosθ = 2/6 = 1/3

Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.

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Answer:

0

Step-by-step explanation:

(-321) * {603 * 0   } = [(-321)*  0 ] * 603 = 0

Property :  Associative property of multiplication

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Answer:

x = 2 pizzas

Step-by-step explanation:

Let

x = number of pizza ordered

Stella’s Pizza charges $16.00 room rental fee and an additional $8.00 for each pizza ordered.

cost for a party at Stella’s Pizza = 16 + 8x

Napoli’s Pizza charges $24 for the room rental fee and an additional $6.00 for each pizza ordered.

cost for a party at Napoli’s Pizza = 24 + 6x

Equate the cost for a party at Stella’s Pizza and cost for a party at Napoli’s Pizza

16 + 8x = 24 + 6x

8x - 6x = 24 - 16

2x = 8

x = 8/4

= 2

x = 2

Answer:

25π

Step-by-step explanation:

C= πd

d=√(24²+7²)=√(576+49)=√625=25

C=25π

Answer:

Step-by-step explanation:

First off, divide 24 by 2 as that would give you the radius of the circle

24cm / 2cm = 12cm

Next, use the formula to calculate the circumference of a circle and plug in radius:

C = 2 x π x r

   = 2 x π x 12cm

   = 75.40cm is the circumference

Answer:

5

Step-by-step explanation:

3-(-2)=5

Two negatives are a positive. So 3-(-2)=3+2. And 3+2 is 5.

Answer:

0

Step-by-step explanation:

-5 + -1 = -6

5 + 1 = 6

-6- 6 = 0

Answer:

y = 5/4x - 4

Step-by-step explanation:

First, find the slope by doing change in y/change in x

You have the points (4, 1) and (0, -4), so the slope would be:

-4 - 1 / 0 - 4 = -5 / -4 = 5/4

Then, find the y-intercept

It gives you that the y-intercept is (0, -4).

Now put the equation in the form y = mx + b where m is the slope and b is the y-intercept.

You have that m = 5/4 and b = -4, so it would be y = 5/4x - 4.

Answer: x = 23

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

Hope this helps :)

The value of the Population Variance is 100.

According to the statement

we have given that the A population of N = 10 scores has μ = 50 and σ = 5. And we have to find the population variance.

So, For this purpose,

we know that the population variance can be defined as the average of the distances from each data point in a particular population to the mean squared, and it indicates how data points are spread out in the population.

Population variance = mean /(standard deviation/number of samples)

Population variance = μ / (σ /N )

Substitute the values in it and then

Population variance = 50 / (5 /10 )

Population variance = 50 / (0.5 )

Population variance = 100.

So, The value of the Population Variance is 100.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

A population of N = 10 scores has μ = 50 and σ = 5. What is the population variance?

a. 10

b. the square root of 5

c. the square root of 50

d. 25

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Answer:

#7 m∠4 = 30°  

#8. m∠5 = 150

#22. A'(-6, -3), B'(-3, 4), C'(3, 5)
*** You may just want to put the coordinate points: (-6, -3), (-3, 4), (3, 5) without the A', B', C'. ***

#23. A'(6, -3), B'(3, 4), C'(-3, 5)

Step-by-step explanation:

#7 Angles 30° and ∠4 are corresponding angles and hence equal

#8 ∠4 and ∠5 are supplementary linear angles and add up to 180° So m∠5 = 180 - m∠4 = 180 - 30 = 150°

#22 Reflection about the x-axis means the x-coordinates do not change but the new y-coordinate is the negative of the original y coordinate

In other words, a point(x, y) in the pre-image becomes (x, -y) in the image

#23 With a 180° rotation both x and y axes change signs. (x, y) becomes (-x, -y)

In hypothesis testing, the critical value is option (d) a number that establishes the boundary of the rejection region

The hypothesis testing is defined as the process of collecting the data and using that as inference draw the calculation about the population parameter.

The reject region of the hypothesis testing is defined as the  set of values for the test statistic for which the null hypothesis is rejected.

Therefore, the critical value is  a number that establishes the boundary of the rejection region of the graph

Hence, in hypothesis testing, the critical value is option (d)  a number that establishes the boundary of the rejection region

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Actually, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y).

To see why, let's substitute y = 0 degrees into the expression:

sin(y)*tan(y) = cos(y)

sin(0)*tan(0) = cos(0)

0*tan(0) = 1

0 = 1

As we can see, the equation does not hold for y = 0 degrees. However, this does not make 0 degrees a counterexample, because 0 degrees is not in the domain of the tangent function.

The tangent function is undefined at odd multiples of 90 degrees (e.g. 90, 270, etc.), because at those angles the denominator of the tangent function becomes zero. Therefore, we cannot substitute y = 0 degrees into the expression sin(y)*tan(y) = cos(y), because it would result in division by zero.

In summary, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y), because it is not in the domain of the tangent function.

To convert an annual interest rate to a daily interest rate based on simple interest, divide the annual interest rate by 365, the number of days in a year.

This way,

The daily interest rate is 0.05%

To get the simple interest in a 30 day period, we use the formula for simple interest and get:

The interest for a 30 day period is $23.15

Answer:

The one that goes up then down

Step-by-step explanation

Answer:

2 seventh graders

Step-by-step explanation:

8:16 simplified=1:2

therefore for every 1 sixth-grader there is 2 seventh graders

Answer:

there is 1 sixth grader for every 2 seventh graders

Step-by-step explanation:

there are 16 seventh graders divided by the 8 sixth graders= 2 seventh graders per sixth grader

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▹ Answer

130°

▹ Step-by-Step Explanation

Total - 180°

180° - 50° = 130°

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

Step-by-step explanation:

We can use the Pythagorean Theorem to find the height of the cylinder

We have

height  = √ [ 5^2 - 2^2 ]  = √[25 - 4]   =  √21  units

Answer:

halo theme is <3

Step-by-step explanation:

no reason to disagree with facts

Answer:

While there is no one Halo "theme song", "Never Forget" was a key theme in their marketing campaign.

Step-by-step explanation:

Yes, there exist infinitely many surfaces that contain the given curve,\(`r(t) = t^2 i + ln(t) j + 1 tk`.\)

Given that \(`r(t) = t^2 i + ln(t) j + 1 tk`\).In order to find the surfaces that contain the curve, we can solve for 't' and get three equations, each missing one of the three variables, giving three equations for surfaces that contain the curve.

They are,\(x = t^2 (y = ln(t) and z = 1/t),\)

\(y = ln(t) (x = t^2 and z = 1/t)\)

\(z = 1/t (x = t^2 and y = ln(t)).\)

These three equations represent the surfaces that contain the curve. But, as you mentioned, there are infinitely many surfaces that contain the curve. This is because we can translate the surface infinitely many times and still have the curve lie on the surface.

For example, the surfaces of the form,x = t^2 + a,

y = ln(t) + b and

z = 1/t + c (a, b, c are constants) also contain the curve.

Hence, there exist infinitely many surfaces that contain the given curve, `r(t) = t^2 i + ln(t) j + 1 tk`.

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So 1st off you divide 25.2 by 36 since it miles is the x and the cost is y

the unit rate is 0.7 since i divided those 2 numbers

now i just have to do 0.7 times 47

The answer is $ 32.9

sorry if its wrong?

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