Suppose you have a bag of red, blue, and yellow marbles. If the probability of picking a red marble is start fraction 1 over 6 end fraction and the probability of picking a yellow marble is one-half, what is the probability of picking a blue marble? A. one-fourth B. one-third C. two-thirds D. one-eighth

The seat is 99 feet off the ground when it is at the top of the Ferris

wheel.

The height of a seat on a Ferris wheel can be modeled by the function H(t) = 47 sin((π/30)t + (3π/2)) + 52, where t is the time in seconds and H(t) is the height in feet.

To find how far off the ground the seat is when it is at the top of the Ferris wheel, we need to find the maximum value of the function. We know that the sine function has a maximum value of 1, which occurs when the input to the function is (π/2) + kπ, where k is an integer.

Since the input to our function is ((π/30)t + (3π/2)), we need to solve for t when this expression is equal to (π/2) + kπ.

((π/30)t + (3π/2)) = (π/2) + kπ

Multiplying both sides by 30, we get:

πt + 45π = 15π + 30kπ

Subtracting 15π from both sides and simplifying, we get:

t = 30k - 30

This means that the function H(t) will have a maximum value every 30 seconds. To find the maximum height, we can substitute t = 30k - 30 into the function:

H(30k - 30) = 47 sin((π/30)(30k - 30) + (3π/2)) + 52

Simplifying, we get:

H(30k - 30) = 47 sin(kπ - π/2) + 52

Since sin(kπ - π/2) =\((-1)^k\), we can write:

H(30k - 30) =\(52 - 47(-1)^k\)

When k is even, H(30k - 30) is at its maximum height of 99 feet (52 + 47).

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Answer:

4 weeks

Step-by-step explanation:

We can determine how many more weeks Kyle will need to save than Lisa in order to have enough money to go to the soccer camp that costs $210. We can do this by solving the equation s = 10w + 30 for w when s = 210 to find out how many weeks it will take Kyle to save enough money:

s = 10w + 30 = 210

  = 10w + 30 - 30 = 210 -30

  = 10w = 180

  = 10w = 180/ 10

  = w = 18

This means that Kyle will need to save for 18 more weeks in order to have enough money to go to the soccer camp. Since Lisa is saving $15 per week, we can find out how many weeks it will take her to save enough money by dividing the total cost of the camp by her weekly savings: 210 / 15 = 14. This means that Lisa will need to save for 14 weeks in order to have enough money to go to the soccer camp.

Therefore, Kyle will need to save for 18 - 14 = 4 more weeks than Lisa in order to have enough money to go to the soccer camp.

The height of the bars in the remaining three categories should be determined by the frequency of the data points in those categories.

A histogram is a graphical representation of the distribution of numerical data. The bars of the histogram are drawn with their bases on the horizontal axis, and the height of each bar represents the frequency of the data points in that category.

To determine the height of the bars in the remaining three categories, the team should calculate the frequency of the data points in those categories and scale the height of the bars accordingly. The vertical axis should be labeled with a suitable scale that accommodates the maximum frequency observed in the data.

This will allow for an accurate representation of the distribution of the data points.

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The 2 linear equation which passes through point (-5,3) are:

so option A and B is correct

in order to check the answer we will check for all options which satisfies the the given point (-5,3)

putting the values in equation 1

 3 = 5*-2+13 so 3 =3 and the given points satisfies the above equation.

 putting the vlaues in equation 2

 LHS = y= 3

 RHS = -(-5) -2 =5-2 = 3

 so LHS = RHS  this equation also satisfies

putting the vlaues in equation 3

 LHS = y= 3

 RHS = 3*-5 -5 = -20

 so LHS ≠ RHS  so, this equation not satisfies

 putting the vlaues in equation 4

 LHS = y= 3

 RHS = -0.5 *5 + 6 = 3.5

 so LHS ≠ RHS  so, this equation not satisfies

 putting the vlaues in equation 5

 LHS = y= 3

 RHS = -2*-5- 2=8

 so LHS ≠ RHS  so, this equation not satisfies

 so only equation i and ii is true for the given point

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Complete question :

On a coordinate plane, a point is at (negative 5, 3). to which linear equations is the coordinate a solution? select two options.

A. y = 2x + 13

B. y = –x – 2

C. y = 3x – 5

D. y = negative one-half * 6

E . y = –2x – 2

Answer:

AAAYYEEE MY BUDDY MY BUD have we met before? no BUT I CAN FEEL A CONNECTION HERE BUDDY hope this connection stays when I cop these pts <3 look man it's hours later you have your answer at this point my moral is still intact

Answer:

4y+10=-5

4y=-5-10

4y=-15

y=-15/4

y=3.25

The image of the point after the transformations is (0, -2)

We can see that the original coordinates of point R are at (-3, 2).

A rotation of 180° means that we need to change the signs of the two components, then we will get (3, -2)

Finally, we apply a translation of 3 units to the left, so we need to subtract 3 units from the x-component of the point.

Then we will get (3 - 3, -2) = (0, -2)

That is the image of the transformations.

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Answer:

-3,970.9(0.47)= -1,866 years

i'll edit my answer afterwards, but what are the options for the second question?

Step-by-step explanation:

Solution

For this case the only collection method thats satisfy very well the definition given is:

d. sample survey

Answer: 9(2x-1)

Step-by-step explanation:

To find the limit of cos(x)/(1-sin(x)) as x approaches (π/2)+, we can use l'Hospital's Rule.

First, we can take the derivative of both the numerator and denominator with respect to x: lim cos(x)/(1 − sin(x)) x → (π/2)+ = lim [-sin(x)/(cos(x))] / [-cos(x)] x → (π/2)+ = lim sin(x) / [cos(x) * cos(x)] x → (π/2)+

Now, plugging in (π/2)+ for x, we get: lim sin(π/2) / [cos(π/2) * cos(π/2)] x → (π/2)+ = 1 / (0 * 0) = undefined

Since the denominator approaches 0 as x approaches (π/2)+, and the numerator is bounded between -1 and 1, the limit does not exist.

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Answer:

3x - y +5=0

Step-by-step explanation:

Slope:-

=> m = 2-8/-1-1 = -6/-2

=> m = 3

Using point slope form :-

=> y - 2 = 3 ( x - (-1))

=> y - 2 = 3x + 3

=> 3x - y +5 = 0

Answer:

y=3x+5

Step-by-step explanation:

first find the gradient

m=y2-y1/x2-x1

from the coordinates you are given x one is -1,x two is1,y one is 2,y two is 8

8-2/1-(-1)

=3

therefore the gradient is 3

after finding the gradient use the equation

y-y1=m(x-x1)

substitute x1,y1 and the gradient..y and x are constant

y-2=3(x-(-1))

y-2=3x+3

y=3x+3+2

y=3x+5

The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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According to the question a) Average rate of change of value for the first 3 years: Approximately \(168.109\). b) Rate at which the investment is growing at ten years: Approximately \(790.800\).

a) Average rate of change of value for the first 3 years:

To find the average rate of change of value for the first 3 years, we differentiate \(\(V\)\) with respect to \(\(n\)\) and evaluate it for \(\(n = 3\)\).

Differentiating \(\(V\)\) with respect to \(\(n\)\):

\(\[\frac{dV}{dn} = 1000 \cdot \frac{d}{dn}(1.06^n)\]\)

Using the power rule of differentiation,

\(\(\frac{d}{dn}(1.06^n) = 1.06^n \cdot \ln(1.06)\).\)

Substituting \(\(n = 3\)\) into the expression:

\(\[\frac{dV}{dn} = 1000 \cdot 1.06^3 \cdot \ln(1.06)\]\)

To solve the expression \(\(\frac{dV}{dn} = 1000 \cdot 1.06^3 \cdot \ln(1.06)\)\), we can calculate the numerical value by substituting the appropriate values.

Using a calculator, we can evaluate the expression as follows:

\(\(\frac{dV}{dn} = 1000 \cdot 1.06^3 \cdot \ln(1.06) \approx 168.109\)\)

Therefore, the average rate of change of value for the first 3 years is approximately 168.109.

b) Rate at which the investment is growing at ten years:

To find how fast the investment is growing at ten years, we differentiate \(\(V\)\) with respect to \(\(n\)\) and evaluate it for \(\(n = 10\).\)

Differentiating \(\(V\)\) with respect to \(\(n\)\):

\(\[\frac{dV}{dn} = 1000 \cdot \frac{d}{dn}(1.06^n)\]\)

Using the power rule of differentiation,

\(\(\frac{d}{dn}(1.06^n) = 1.06^n \cdot \ln(1.06)\).\)

Substituting \(\(n = 10\)\) into the expression:

\(\[\frac{dV}{dn} = 1000 \cdot 1.06^{10} \cdot \ln(1.06)\]\)

To solve the expression \(\(\frac{dV}{dn} = 1000 \cdot 1.06^{10} \cdot \ln(1.06)\)\), we can calculate the numerical value by substituting the appropriate values.

Using a calculator, we can evaluate the expression as follows:

\(\(\frac{dV}{dn} = 1000 \cdot 1.06^{10} \cdot \ln(1.06) \approx 790.800\)\)

Therefore, the rate at which the investment is growing at ten years is approximately 790.800.

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Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Step-by-step explanation:

Answer:

0.01(66)

Step-by-step explanation:

i dunno, i just did it. also have a gugul calculator lol

The average income of the after school job for the given weekly paychecks in dollars is equal to $38.55 per week.

Weekly paychecks (in dollars) after school job is equal to,

44.50, 69, 50, 39.50, 28, 29, 26, 35, 42, 35.50, 25.50​.

Total number of weekly paychecks from your after school job = 11

To find the average income also known as the mean of the after school job,

we need to add up all the weekly paychecks and divide by the total number of paychecks.

Sum of all the weekly paychecks is equal to

= 44.50 + 69 + 50 + 39.50 + 28 + 29 + 26 + 35 + 42 + 35.50 + 25.50

= 424

There are 11 paychecks in total, so we divide the sum by 11

Average income of after school job

= Sum of all the weekly paychecks / total number of paychecks

= 424 / 11

= 38.5454

= 38.55

Therefore, the average income of the after school job is $38.55 per week.

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The given question is incomplete, I answer the question in general according to my knowledge:

 Your weekly paychecks (in dollars) from your after school job: 44.50, 69, 50, 39.50, 28, 29, 26, 35, 42, 35.50, 25.50​. What is average income of after school job?

The statement provides constraints on the values of a negative number p and a positive number s, where 0 < s < |p|.

Inequality is a mathematical expression that describes a relationship between two values that are not equal. It is represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to). Inequality can be used to compare numbers, variables, expressions, and equations, and it plays a fundamental role in algebra, calculus, and other branches of mathematics

The given statement can be written as:

p < 0 and 0 < s < |p|

Here, p is a negative number, which means it is less than zero. The second part of the statement shows that s is greater than zero (since it is given that 0 < s), and it is also less than the absolute value of p, denoted as |p|, which means that s is between 0 and |p|.

Overall, the statement is providing certain constraints on the values of p and s, which can be useful in solving a mathematical problem or proving a theorem.

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Answer:

5%

Step-by-step explanation:

Percent error = (actual - estimated) / actual x 100

(240 - 228) / 240 x 100 = 5%

Answer:

48.3 miles

Step-by-step explanation:

"each" is the key word here. When you see "each" in a word problem, you should know to multiply. 6.9 times 7 is 48.3.

Answer:

48.3 miles in 7 days

Step-by-step explanation:

Step 1:

6.9 miles × 7 days          Equation

Step 2:

6.9 × 7        Multiply

Answer:

48.3 miles in 7 days

Hope This Helps :)

The probability of rolling a number greater than 4 is approximately 0.333.

The probability of rolling a number greater than 4 can be calculated by determining the number of favorable outcomes (rolling a 5 or 6) and dividing it by the total number of possible outcomes (6).

Favorable outcomes: Rolling a 5 or 6 (2 outcomes)

Total outcomes: Rolling any number from 1 to 6 (6 outcomes)

Probability = Favorable outcomes / Total outcomes = 2 / 6 = 1/3 ≈ 0.333

Therefore, the probability of rolling a number greater than 4 is approximately 0.333, rounded to three decimal places.

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The volume of a sphere with a radius of 3cm is 113.04 cm³, which is approximately equal to 36π cm³. So, the correct option is D).

The formula for calculating the volume of a sphere, V = 4/3πr³, is used to find the amount of space enclosed by a sphere with a given radius. In this case, the sphere has a radius of 3cm. By substituting this value into the formula, we can solve for the volume of the sphere.

V = 4/3πr³

V = 4/3 × 3.14 × 3³ = 113.04 cm³

= approximately 36π cm³

The result is 113.04 cm³, which is approximately equal to 36π cm³. This calculation is important in many applications, such as engineering, physics, and mathematics. The correct answer is D).

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_____The given question is incomplete, the complete question is given below:

What is the volume of sphere r = 3cm? responses A 8π cm³ 8 pi, cm³  B 16π cm³ 16 pi, cm³ C 27π cm³ 27 pi, cm³ D 36π cm³

Answer:

Step-by-step explanation:

For number 2 first thing you do is take (3,3)

                                                                ( -3,7)

And y1-y2

        x1-x2

the equation would be y= -2/3 x + 5

I can't really see the other point for number 3                        

Answer:

A is False because 45/100x72=32.4 and 45/72x100=62.5 which is not equivalent.

Step-by-step explanation:

45/100x72=32.4

45/72x100=62.5

Answer:

i gotchu homie

hope this helps :)

Step-by-step explanation:

Answer:

(First put the numbers with the same values together)

or, 6a - 12a + (-4b) + 13b

or, -6a - 4b + 13b

or, -6a + 9b ans.

Answer:

a: 2 cm; b: 34 cm; c: 46 cm^2

Step-by-step explanation:

the missing side length is 2

9 - (4 + 3) = 2

when you add them all together you get

5 + 4 + 2 + 2 + 3 + 3 + 6 + 9 = 34

the perimeter is 34

you can split the shape up in multiple ways

you can split it into three rectangles

(5 * 4) + (2 * 4) + (3 * 6)

20 + 8 + 18 = 46

Answer:

a) 2 cm

b) 34 cm

c) 44 cm²

Step-by-step explanation:

a) 9 cm - 4 cm - 3 cm = 2 cm

b) 9 cm + 5 cm + 4 cm + 2 cm + 2 cm + 3 cm + 3 cm + 6 cm = 34 cm

c) 5 cm × 4 cm + 2 cm × 3 cm + 3 cm × 6 cm = 44 cm²

Answer: 3.75 liters

Step-by-step explanation:

1 liter = 8m^2

area of the wall = l x b (wide x high)

= 10 x 3

= 30m^2

so, quantity of paint needed = 30/8 = 3.75 liters

Hope it helped u,

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