The cylinder has a surface area of 972cm. Find x. Round to the nearest whole number.
diameter: 2x
height: 5x

Answer:

You need to find the slope of the two points given, then you need to add or subtract (depending on if the slope is increasing or decreasing). Once you find the slope add or subtract the answer onto R or S.

Step-by-step explanation:

SLOPE FORMULA-

y2-y1 / x2-x1

Answer:

Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability

Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability

Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability

Step-by-step explanation:

The probability of the given events is:

According to the question,

Number of outcomes = 8

Event A:

Having the alternative even and odd numbers.

→ [tex](EOE, OEO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event B:

No even number and last two rolls.

→ [tex](EOO,OOO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event C:

Exactly on odd number:

→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]

Thus the above approach is correct.

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Answer:

1670.8 cm³

Step-by-step explanation:

Volume of square Pyramid = ⅓*a²*h

h = 15.3 cm

a = 18.1 cm

Plug in the values

Volume of the pyramid = ⅓*18.1²*15.3

Volume = 1670.81 ≈ 1670.8 cm³ (nearest tenth)

Domain is the x value which is the left to right values.

The line starts at 0 and ends at 100

The domain would be 0 <= x <= 100

Answer:

x = -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

9

Step-by-step explanation:

221/13=17

So $17 for one hour

153/17=9

I dunno if this is right :)

Answer:

Carmen has to work 9 hours to make $153.

Step-by-step explanation:

Well first we would need to find out how much she makes an hour, so to do that we would divide the 221 by 13 hours and get 17. Then you just keep multiplying until you have the right number.

17x4=68

17x5=85

17x6=102

17x7=119

17x8=136

17x9=153

Answer:

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

Step-by-step explanation:

Step(i):-

The  proportion of the first sample

      [tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{23}{53} = 0.43396[/tex]

The proportion of the second sample

      [tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{48}{178} = 0.2696[/tex]

Step(ii):-

Standard Error of ([tex]p^{-} _{1} - p^{-} _{2}[/tex]) is determined by

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{p^{-} _{1} (1-p^{-} _{1} )}{n_{1} }+\frac{p^{-} _{2}(1-p^{-} _{2} ) }{n_{2} } }[/tex]

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{0.43396) (1-0.43396 )}{53 }+\frac{0.2696(1-0.2696 ) }{178} }[/tex]

on simplification, we get

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

Answer:

n = -4

Step-by-step explanation:

2 - 1/2 n = 3n + 16

Combine the constants by subtracting 2 from both sides.

-1/2n = 3n + 14

Combine the variable by subtracting 3n from both sides.

-7/2n = 14

Multiply both sides by 2 to simplify the fraction.

-7n = 28

Isolate n by dividing by -7 on both sides.

n = -4

Check.

2 - 1/2(-4) = 3(-4) + 16

2 + 2 = -12 + 16

4 = 4

Your answer is correct.

Answer:

2-16=3n+1/2n

-14=(6n+n)/2

-28=7n

n=-4

Answer:

$102

Step-by-step explanation:

First calculate the number of hours for morning and afternoon.

[8:15 - 12:15] 12 - 8 = 4 hours for the morning

[13:00 - 17:30] (17 - 13) + 1/2 an hour = 4.5 hours

Giving us a total of 8.5 hours.

12 x 8.5 = 102

Answer:

-1/2x

Step-by-step explanation: negative reciprical

Answer:

18.

Explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The value of 'x' in two similar triangles is 6.46.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in similar triangles the ratio of their corresponding sides are equal.

Therefore, The equation to determine the value of 'x' should be,

(2x - 6)/20 = 36/(x + 6).

36(2x - 6) = 20(x + 6).

72x - 216 = 20x + 120.

72x - 20x = 120 + 216.

52x = 336.

x = 336/52.

x = 6.46.

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Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)

Cheryl wrote 14 posts, because 21 - 7 = 14

Hope this helps <3

1. We have chosen a variable 'x' to represent the number of posts by Kevin.

2. Subtraction applies to this situation.

3. The number of posts written by Cheryl is (x - 7).

4.  If Kevin wrote 21 posts, Cheryl wrote 14 posts.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Let, Kevin writes 'x' number of posts,

Therefore, Cheryl writes (x - 7) posts.

We could have chosen any letters for the number of posts Kevin writes,

And as Cheryl writes fewer posts than Keving we subtracted the number.

If Kevin writes 21 posts, 'x' is 21, And hence Cheryl has written,

(21 -7).

= 14 posts.

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Answer:

m= -4.5

Step-by-step explanation:

Let's solve your equation step-by-step.

6m−3=5−(m+39.5)

Step 1: Simplify both sides of the equation.

6m−3=5−(m+39.5)

6m−3=5+−1(m+39.5)(Distribute the Negative Sign)

6m−3=5+−1m+(−1)(39.5)

6m−3=5+−m+−39.5

6m+−3=5+−m+−39.5

6m−3=(−m)+(5+−39.5)(Combine Like Terms)

6m−3=−m+−34.5

6m−3=−m−34.5

Step 2: Add m to both sides.

6m−3+m=−m−34.5+m

7m−3=−34.5

Step 3: Add 3 to both sides.

7m−3+3=−34.5+3

7m=−31.5

Step 4: Divide both sides by 7.

7m

7

=

−31.5

7

m=−4.5

Step-by-step explanation:

6m-m=5-3+39.5

5m=-37.5

m=7.5

Answer:

The ratio would be 30:23

Step-by-step explanation:

It cannot be simplified ''pretty'' so it would stay as 30:23.

Answer:

biggest size is 115 inches.

smallest size is 40 inches

Step-by-step explanation:

the biggest size will be

Tmax= 2(168)/3 + 3

= 115 inches..

the smallest size

Tmin= 168/4 - 2= 40 inches

Answer: x = -2

Step-by-step explanation:

first, we move the constant to the right.

3x = -7 + 1

then, we calculate that.

3x = -6

finally, we divide both sides.

x = -2

The solution to the equation 3x - 1 = -7 is x = -2.

To solve the equation 3x - 1 = -7, we need to isolate the variable x on one side of the equation.

Here are the steps to solve it:

Step 1: Start with the given equation: 3x - 1 = -7.

Step 2: To eliminate the constant term (-1) on the left side, we can add 1 to both sides of the equation:

3x - 1 + 1 = -7 + 1.

Simplifying, we get: 3x = -6.

Step 3: Now, we want to isolate x, so we need to get rid of the coefficient 3 in front of x.

We can do this by dividing both sides of the equation by 3:

(3x)/3 = (-6)/3.

Simplifying further, we have: x = -2.

Step 4: We have found the solution to the equation: x = -2.

Therefore, the solution to the equation 3x - 1 = -7 is x = -2.

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Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

-1 = 0 + b

-1 = b

∴ y = (2/3)x - 1

Answer:

1.9x+2(1.5)>30

Step-by-step explanation:

1.9(15)+2(1.5)

28.5+3

31.5 dollars

therefore the equation is grater than 30 dollars

Answer:

1/ 5²

Step-by-step explanation:

= 5³ × 1/5⁵

= 125 × 1/5⁵

= 125/3125

= 1/25 or 1 / 5²

Answer:

[tex]\boxed{\sf The\: slope\: is \: 0}[/tex]

Step-by-step explanation:

[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

____________

[tex]\sf \left(x_1,\:y_1\right):\left(-1,\:3\right)[/tex]

[tex]\sf \left(x_2,\:y_2\right):\left(3,\:3\right)[/tex]

[tex]\sf Slope\:(m)=\cfrac{3-3}{3-\left(-1\right)}[/tex]

[tex]\sf m=0[/tex]

Answer:

13

Step-by-step explanation:

(24 + 2) / 2

26/2

=13

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

1/4 = x

18    252

18x = 252(1/4)

18x = 63

x = 63 / 18

x = 3.5

Answer:

ANSWER IS -3

Step-by-step explanation:

HOPE THIS HELPS

ANSWER IS -3

have a good day

Answer:

attached below

Step-by-step explanation:

Applying the rule of logical equivalences

attached below  is a detailed solution ( written as a numbered sequence of statements )

Answer:

identity laws, domination laws, commutative laws, double negation laws these are some laws from logical equivalence.

What is logical equivalence?

A tautology is a claim that is true no matter what the truth values of the propositional variables it includes are.Contradictions and absurdities refer to a group of propositions that are all untrue.It's also known as a contingency when a composite proposition contains neither a tautology nor a contradiction.What does this imply in actuality, though?To make sense of this, go to the following truth table.

Contradiction and tautology

Inconsistency, contradiction, and tautology So a tautology is when every single statement in a column is true, as defined by Oak Ridge National Laboratory, and is often indicated by a bold-faced capital T. When the entire column is untrue, a contradiction, which is often denoted by a boldface capital F, exists.

However, why is this significant?

We may better understand propositional equivalences, or assertions that are equivalent in logical reasoning, by using tautologies and contradictions, which are necessary in establishing or verifying mathematical arguments. Our task will be to confirm the logical equivalentity of propositions like p and q.

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Answer:

0.0323 = 3.23% probability that it will not be discovered

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Has emergency locator

Event B: Probability it will not be discovered.

Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.

So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].

90% of the aircraft not discovered do not have such a locator.

So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]

Probability of having the locator:

75% of 80%(Discovered).

10% of 20%(Not discovered). So

[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]

If it has an emergency locator, what is the probability that it will not be discovered?

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]

0.0323 = 3.23% probability that it will not be discovered

Answer:

the probability that sales will be less than 81,000 packages is 0.6681

Step-by-step explanation:

Given that;

Average sales μ = 87,000

standard deviation σ = 4,000

x' = 81,000

P( x < 81,000) = ?

so

P( x < 81,000) = P( x - μ / σ )

we substitute

P( x < 81,000) = P( 81,000 - 87000 / 4000 )

P( x < 81,000) = P(  - 6000 / 4000 ) = -1.5

from table;

P( z < 1.5 ) = 0.6681

Therefore the probability that sales will be less than 81,000 packages is 0.6681

Answer:

ELM Ridge is growing at a faster rate

Step-by-step explanation:

To obtain the solution, we calculate the growth rate of both cities

Given :

Nadia : Preston

Population Last Year 5,589

This Year 5,702

Growth rate:

[(this year population - Last year population) / last year population] * 100%

[(5702 - 5589) / 5589] * 100%

(113 / 5589) * 100%

= 0.0202182 * 100%

= 2.02%

ELM Ridge

Last Year 1,870

This Year 1,926

Growth rate:

[(this year population - Last year population) / last year population] * 100%

[(1926 - 1870) / 1870] * 100%

(56 / 1870) * 100%

= 0.0299465 * 100%

= 2.994%

= 3%