Find the volume of the sphere shown. Give each answer round to the nearest cubic unit. 15 CM

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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To fidn the surface area of the grain tank you need to find the area of:

Cylinder (without one of the bases as there are just one base exposed), use the next formula:

You have for the given cylinder:

h=12ft

r: as the diameter is 8.4ft the radius is 8.4tf/2=4.2ft

Cone (without the base as the base is not exposed), use the next formula:

You have for the given cone:

r= 4.2ft

s= 5.5ft

The entire exposed surface of the tank is:

The probability that Jamie makes exactly 7 shots out of 10 free throws is 0.214990848.

To find the probability that Jamie makes exactly 7 shots out of 10 free throws, we can use the binomial probability formula. The formula is as follows: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where n is the number of trials, k is the number of successes, p is the probability of success, and (n choose k) is the binomial coefficient that represents the number of ways to choose k successes from n trials.

Now, we can plug in the values that we know into the formula:

n = 10,

k = 7,

p = 0.6 P(X = 7)

= (10 choose 7) * 0.6^7 * (1-0.6)^(10-7)

We need to evaluate (10 choose 7) using the combination formula: (10 choose 7) = 10! / (7! * 3!) = 120Plugging this into the binomial formula,

we get:

P(X = 7) = 120 * 0.6^7 * 0.4^3

= 0.214990848

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Answer:

Amount received by wife = RS 24000

Amount received by father = RS 16000

Step-by-step explanation:

His income is RS 80000

He gave 30% of his income to his wife

That's

\( \frac{30}{100} \times RS \: \: 80000\)

Which is RS 24000

He gave 20% of his income to his father

That's

\( \frac{20}{100} \times RS \: \: 80000\)

Which is RS 16000

Hope this helps you

Answer:

y = 8x - 64

Step-by-step explanation:

Start with y = mx + b, the slope-intercept equation.  Replace m with 8, x with 7 and y with -8:

-8 = 8(7) + b, or

-8 - 56 + b, or

b = -64

Then the desired equation is

y = 8x - 64

-1/2

To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)

Substitute the values given for the xs and ys:

(7-5)/(-1-3)

2/(-4)

simplify: -1/2

Given quadrant equation:

3x² + 9x + 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 3 × 6 = 18

→ Sum of coefficient of x² ans constant term = 3 + 6 = 9

So the given equation can be written as,

⇛3x² + 6x + 3x + 6 = 0

On taking the common terms, we get

⇛3x(x + 2) + 3(x + 2) = 0

On grouping the common terms, we get

⇛(3x + 3)(x + 2) = 0

Here either (3x + 3) = 0 or (x + 2) = 0. So,

⇛3x + 3 = 0 or x + 2 = 0

⇛3x = -3 or x = -2

⇛x = -3/3 or x = -2

⇛x = -1 or x = -2

also read similar questions:- These are the two roots of the equation.

Julian used these steps to solve the equation 9x=?6+3(3x+2) 9 x = - 6 + 3 ( 3 x + 2 ) . Which choice describes the meaning of his result, 0=0 ?

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Answer:

(1,6) and (-4,0)

Step-by-step explanation:

because it has the left unit 2 in resultant image and unit 1 as the upward reaction and both has the 90 degrees clockwise

the answer is B i got it right

Step-by-step explanation:

\( \sqrt{(x + 6) ^{2} } = \sqrt{18} \\ x + 6 = + - \sqrt{18} \\ x + 6 = + - \sqrt[3]{2} \)

If she starts with 6 miles today and add 2 miles each day to her distance until she achieves her goal and  then she has to run 176 miles in total to achieve her 26 miles goal.

Given,

Total distance for the marathon = 26 miles

Distance she add each day =2

She starts with 6 miles

Then,

Equation of nth term in the arithmetic sequence

\(t_{n}=a+(n-1)d\)

Substitute the values and find the value of n

26=6+(n-1)2

26=6+2n-2

26=4+2n

2n=22

n=11

To find the total distance she run to achieve her 26 miles goal, we have to apply the sum of n terms of arithmetic sequence,

\(S=\frac{n}{2}[2a+(n-1)d]\\ S=\frac{11}{2}[2(6)+(11-1)2]\\ S=\frac{11}{2}[12+20]\\ S=\frac{11}{2}[32]\\ S=176\)

If she starts with 6 miles today and add 2 miles each day to her distance until she achieves her goal and  then she has to run 176 miles in total to achieve her 26 miles goal.

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Answer: the answer is B

Step-by-step explanation:

A function is defined as a relation between a set of inputs having one output each.

The value of y when x = 48 is 96.

A function is defined as a relation between a set of inputs having one output each.

The inputs are called the domain of the function.

The outputs are called the range of the function.

We have,

The value of y varies directly with x.

y = 8, when x = 4.

Domain = input = 4

Range = output = 8

Now,

We can say that y is a function.

i.e y = 2x.

Where x = input = domain and y = range = output.

The value of y when x = 48:

y = 2x

y = 2 x 48

y = 96

Thus,

The value of y when x = 48 is 96.

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(a)The levels of production that will yield a profit of $359,400 are approximately 292.36 and 651.64 units. (b)So, it is possible to make a profit of more than $359,400.

(a) To determine the level(s) of production that will yield a profit of $359,400, substitute P=359400 in the equation.6400x−18x^2−400 = 359400Adding 400 to both sides:6400x − 18x² = 359800

Dividing both sides by -2:9x² − 3200x + 179700 = 0

Applying the quadratic formula:

x = (-(-3200) ± √((-3200)² - 4(9)(179700))))/(2(9))

= (3200 ± √(10240000 - 6464400))/18

= (3200 ± √(3785600))/18

= (3200 ± 1946.55)/18x

= 292.36 or 651.64

Thus, the levels of production that will yield a profit of $359,400 are approximately 292.36 and 651.64 units.

(b) To determine if a profit of more than $359,400 can be made, we need to determine the maximum profit by completing the square, and comparing it to $359,400.P=6400x−18x^2−400

Completing the square: P= -18(x - 88.89)² + 710937.2

Maximum profit is $710,937.20, which is more than $359,400.

So, it is possible to make a profit of more than $359,400.

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Answer: C

Answer:

C

Divide both sides by 9.

70% of the population prefers coca-cola over pepsi, the probability that both prefer coca-cola is 0.49.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.

Probability is a way to gauge how likely something is to happen. Several things are difficult to forecast with absolute confidence. With it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.

70% of the population prefers Coca-Cola over Pepsi,

that is 0.7

The probability of the Pepsi is 30% = 0.3

The probability that both prefers coca cola is 0.7 x 0.7 = 0.49.

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The equation in the form ax² + bx + c of the quadratic equation with 7 and 2/5 as it root is x² - 33 / 5 x + 14 / 5

The root of the quadratic equation are 7 and 2/5 .

The equation should be written in the form

ax² + bx + c

where

a, b and c are integers.

Therefore,

x - (7) and x - 2/5

(x - 7)(x - 2/5)

open the bracket

x² - 2/5x - 7x + 14 / 5

x² - 33 / 5 x + 14 / 5

where

a = 1

b = -33 / 5

c = 14 / 5

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Angela made $350 per week 25 years ago and Walker made $200 per week 25 years ago.

Let's assign variables to represent Angela and Walker's salaries 25 years ago. Let A be Angela's salary 25 years ago and W be Walker's salary 25 years ago.

Using the information given in the problem, we can set up two equations:

A + W = 550 (their total salary 25 years ago)
4A + 3W = 2000 (their total current salary)

To solve for A and W, we can use substitution or elimination. Let's use substitution.

From the first equation, we can rearrange to solve for A:

A = 550 - W

Substitute this into the second equation:

4(550 - W) + 3W = 2000

Distribute the 4:

2200 - 4W + 3W = 2000

Simplify:

W = 800

Now that we know Walker's salary 25 years ago was $800, we can plug that into the first equation to solve for Angela's salary:

A + 800 = 550

A = -250

Uh oh, a negative salary doesn't make sense in this context. We made a mistake somewhere.

Let's go back to our original equations and try elimination instead:

A + W = 550
4A + 3W = 2000

Multiplying the first equation by 4, we get:

4A + 4W = 2200

Subtracting the second equation from this, we get:

W = 200

Now we can plug this into either equation to solve for A:

A + 200 = 550

A = 350

So Angela made $350 per week 25 years ago and Walker made $200 per week 25 years ago.

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Answer:

1c

2b

Step-by-step explanation:  i think im not absolutly

shure

Answer: See explanation

Step-by-step explanation:

f=First car seat. s=Second car seat. t=Third car seat

f<=28

15<s<45     ==> Second car seat can hold between 15 and 45 pounds noninclusive.

28<=t<=90   ==> Third car seat can hold between 28 and 90 pounds inclusive.

Answer:

Step-by-step explanation:

This equation has no solution. You have one equation with two variables, so it cannot be solved. If you have another equation having the same variables x and y, then by using simultaneous equations, values of x and y can be solved. But to this equation 4x + 5y = 6, there is no solution for the reason mentioned above.

Hey... The answer is A

False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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Answer

y = f(x) = 3x - 1

Explanation

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

Two lines that are parallel to each other have the same slope.

If the equation of a straight line is written in the form of y = 3x - 6,

,The slope and y-intercept form of the equation of a straight line is given as

y = mx + c

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

c = y-intercept of the line.

So, in y = 3x - 6, the slope = m = 3

So, using the point-slope form,

y - y₁ = m (x - x₁)

m = 3

(x₁, y₁) = (2, 5)

x₁ = 2, y₁ = 5

y - y₁ = m (x - x₁)

y - 5 = 3 (x - 2)

y - 5 = 3x - 6

y = 3x - 6 + 5

y = 3x - 1

In function notation, y = f(x)

So, the equation of the line required is

y = f(x) = 3x - 1

Hope this Helps!!!

The length of the fence in yards, using all 144 feet of material, is 12 yards. Jason will have a fence with a length of 21 yards if he uses all 144 feet of material to build the fence around his rectangular garden.

Let's denote the length of the fence as L in feet. The width of the fence is given as 9 feet. The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

In this case, we have P = 144 feet and W = 9 feet. We want to find the value of L that satisfies the equation 2L + 2W = P.

Substituting the given values, we have:

2L + 2(9) = 144

2L + 18 = 144

2L = 144 - 18

2L = 126

L = 126/2

L = 63

So the length of the fence is 63 feet.

To convert this length from feet to yards, we know that 1 yard is equal to 3 feet. Therefore, to obtain the length in yards, we divide the length in feet by 3:

63 feet / 3 = 21 yards

Therefore, the length of the fence, using all 144 feet of material, is 21 yards.

Jason will have a fence with a length of 21 yards if he uses all 144 feet of material to build the fence around his rectangular garden.

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Answer:

2.5

Step-by-step explanation:

We need to find the product of the following expression.

\(\dfrac{3}{2}\times \dfrac{4}{3}\times \dfrac{5}{4}\times \dfrac{2006}{2005}\)

3 and 4 are there in both numerator and denominator. It will cancel out.

\(\dfrac{1}{2}\times \dfrac{1}{1}\times \dfrac{5}{1}\times \dfrac{2006}{2005}\\\\=\dfrac{5}{2}\times \dfrac{2006}{2005}\\\\= 2.5\)

So, the value of the above expression is 2.5.

The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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Answer:

a-4

Step-by-step explanation: