Tracey paid $135 for an item that was originally priced at $260. What percent of the original price did Tracey pay?
Round your percentage answer to two decimal places.
Do NOT include a
%
symbol with your answer

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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The number of grams of cocoa is 50.9 grams

This is the mass of an object

Since we have that a chocolate bar contains 53% cocoa and the weight of the chocolate bar is 96 grams.

Let

So, we have that

x = pW

Given that

Substituting the values of the variables into the equation, we have that

x = pW

x = 0.53 × 96 grams

x = 50.88

x ≅ 50.9 grams

So, the number of grams of cocoa is 50.9 grams

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Answer:

the answer is 8 oz

Step-by-step explanation:

well it says for the first ounce is $0.49 so $0.49 is your first number, then you're trying to figure out how many $.21

2.then to make this easier you subtract $0.49 from $1.96 and that's is $1.47

3.then all you need to do is divide $1.47 By .21 cents anand you should get 7.

4.but don't forget the $0.49 for the first ounce, then 1 ounce add it to the 7 and It will equal 8 oz in total

Step-by-step explanation:

Step-by-step explanation:

hey mate!

you can use gauth math

you can easily find the answer and practice

there are tickets to find tutors who are brilliant at math .

it is so helpful

it is like photo math

first click the photo there is an option and get started!

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

x = 1, x = 5

Step-by-step explanation:

Solutions to a graph are where x=0 or where the function crosses the x axis. It is difficult to see the numbers but if we assume it goes up one number for each line we find that the line crosses the x axis at 1 and 5.

Answer:

So, I know that we will have to find the Area of the "Shape" And I see a *Unlabeled/Unknown* Shape that we have to find the answer of/to.

Step-by-step explanation:

To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet. Volume is also how loud a sound is.

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Maybe the Definitions Can help, Have a nice day

In given fractions 8/9 is 1/36 large than 31/36

Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.

We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).    

If the denominators are the same then it is easy to compare the fractions.

Here we have

31/36 and 8/9

To find the largest fraction convert both denominators into the same  

Here LCM(36, 9) = 36  

Now multiply both numerator and denominators of fractions with a number to change the denominators  

=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)  

=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)  

From the above calculations given fractions are 31/36 and 32/36

Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)  

Therefore,

In given fractions 8/9 is 1/36 large than 31/36

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Answer: The S-intercept, 400, is the amount of Cherie's weekly salary when she makes no sales.

Step-by-step explanation:

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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Answer:

[(3*8)+2]+6-2

PEMDAS

There are parentheses so solve what is in them

3*8=24

[24+2]

26+6-2

Do the addition

32-2

30 is your answer

30 steps

Answer:

D. 48 feet

Step-by-step explanation:

Ladder (50 ft) = hypotenuse

Floor distance (14 ft) = b

Wall (unknown) = a

\(a^2+b^2=c^2\)

\(a^2+14^2=50^2\)

\(a^2+196=2500\)

\(a^2=2500-196\)

\(a=\sqrt{2304}\)

\(a=48\)

Hope this helps!

Answer:

48 feet

Step-by-step explanation:

Here,

c = 50 ft

b = 14 ft

To find : the height of the wall that the ladder reaches ( a ) = ?

Formula : -

a² + b² = c²

a² = c² - b²

= 50² - 14²

= ( 50 x 50 ) - ( 14 x 14 )

= 2500 - 196

= 2304

= 48 x 48

a² = 48²

a = 48 feet

Answer:$6,000

Step-by-step explanation:

The solution to a trignometric equation sin²x - 1 = 0 is x = { π/2,  3π/2}

Consider a trignometric equation,

sin²x - 1 = 0

We need to solve this trigonometric equation  for all values of angle x such that 0≤ x < 2π

Consider equation,

sin²x - 1 = 0

sin²x = 1

Takin square root,

sin(x) = ±1

when sin(x) = 1, then x = π/2

and when sin(x) = -1 then x = 3π/2

Therefore, required values of angle x = { π/2,  3π/2}

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Answer:

Going from bottom to top, left to right:

3804

5005

8118

15094

13391

28485

27422

Step-by-step explanation:

1) Create a real-world problem involving a related set of two equations

George bought 5 apples and 2 peaches, he pays $22.00. Isabella bought 10 apples and 2 peaches, she pays $32.00. a) How much does an apple cost? b) How much does a peach cost?

2)Write the system of equations that would be used to solve them.

Let x be the cost of an apple

Let y be the cost of a peach

George bought 5 apples and 2 peaches, he pays $22.00:

Isabella bought 10 apples and 2 peaches, she pays $32.00:

System of equations:

3) Show how to solve the same system using ALL 3 methods:

• Graphing

Find two points (x,y) for each equation:

-First equation:

-Second equation:

Use each pair of points to graph the corresponding line: Put the point in the plane and draw a line that passes through the corresponding pair of points:

The solution is the point of intersection (2,6)

• Substitution:

1. Solve x in the first equation:

2. Substitute x in the second equation with the value you get in the first step:

3. Solve y:

4. Use the value of y to solve x:

The solution is (2,6)

• Elimination:

1. Subtract the equations:

2. Solve x:

3. Use the value of x to solve y:

The solution is (2,6)

4) Identify your solution & explain what it means in the context of your word problem!

Answer: 6

Step-by-step explanation: Solution: Perimeter of the triangle is the sum of the lengths of its sides. Thus, perimeter = 10 cm. 6.

Answer:

24/40

Step-by-step explanation:

You can multiply both the numerator and denominator by any number

Option #3: Lets multiply by 1/2 since when you multiply 6*1/2 it equals 3 and that is the same numerator as option #3 and so now let's do the same again to the denominator 10*1/2 equals 5 and that is NOT equal to 6 in the denominator for option #3 and you can't get 3 any other way than multiplying by 1/2 (same as *.5) and so it is wrong.

Now since we know how to do it I'll just do the math for the rest.

Option 1:

6/10

6*2/10*2

12/20 and that doesn't match so it's wrong.

Option 2:

6/10

6*4/10*4

=

24/40

It matches so it's correct let's try option 4 just to check.

Option 4:

6/10

6*2/10*2

12/20

that doesn't match so it's wrong (you could have tried multiplying by decimals by I doubt you are there to that kind of math yet.)

Answer: 24/40

Answer:

16

Step-by-step explanation:

KEEP CHANGE FLIP

10/1 divided by 5/8 turns into

10/1 multiplied by 8/5, which is

80/5 = 16

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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Answer:

670.05

Step-by-step explanation:

Rounding to the nearest dollar, Serina will have $515 at the end of five years. Therefore, correct option is A.

To calculate the amount Serina will have at the end of five years, we can use the formula for compound interest:

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

Where:

A = the future value of the investment/loan, including interest

P = the principal amount (initial deposit)

r = the annual interest rate (in decimal form)

n = the number of times that interest is compounded per year

t = the number of years the money is invested for

In this case, Serina deposits $500 with an annual interest rate of 5%, compounded semiannually (n = 2), and keeps the money in her account for three years (t = 3).

Plugging in the values, we get:

A = 500(1 + 0.05)⁶

A = 500(1.005)⁶

A ≈ 500(1.030)

A ≈ $515

Therefore, correct option is A.

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The probability that the first success occurs on trial number n = 3 is 0.032

Given:

probability of success on a single trial p = 0.80

trial number, n = 3

Recall the formula for the Geometric Probability Distribution

P(n) = p(1 - p)ⁿ⁻¹

where n is the number of the binomial trial on which the first success occurs and p is the probability of success on each trial

P(n) = p(1 - p)ⁿ⁻¹

P(3) = 0.8(1-0.8)³⁻¹

P(3) = 0.8(0.2)²

P(3) = 0.032

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The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

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Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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Answer:

yes

Step-by-step explanation:

hey can both be expressed as the quotient of two integers

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

11% of people preferred outside and non-fiction

Step-by-step explanation:

Table attached,
10/90 = 0.11

0.11 = 11% 

The percent of students in the survey that prefer outdoor activities given they prefer non-fiction is 11%.

The first step is to determine the total number of people that like fiction: 24 + 30 = 54

Now, determine the total number of people that like non-fiction: 90 - 54 = 36

The third step is to determine the total number of people that like indoor activities and non-fiction: 50 - 24 = 26

The fourth step is to determine the total number of people that like outdoor activities given they prefer non-fiction: 36 - 26 = 10

Percentage of people that prefer outdoor activities given they prefer non-fiction = (10 / 90) x 100 = 11%

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The equation of the line in slope-intercept form is:

y = 4x + 9

The slope-intercept form of the equation of a line is:

y = mx + b

where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

In this case, we know that the line passes through the point (-4, -7) and has a slope of 4. So, we can plug in the values of x, y, and m into the slope-intercept form and solve for b:

-7 = 4(-4) + b

Simplifying the right side:

-7 = -16 + b

Adding 16 to both sides:

9 = b

So the y-intercept is 9. Therefore, the equation of the line in slope-intercept form is:

y = 4x + 9

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As there is sufficient evidence to conclude that the population mean weight is at least 16 ounces.

What is standard deviation ?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.

The following null and alternative hypotheses need to be tested

H0 :  µ  = 16

Hα :  µ  < 16

This corresponds to a left-tailed test , for which a z-test for one mean, with known population standard deviation will be used.

Based on the information provided, the significance level is α = 0.1, and the critical value for the left-tailed test is \(Z_{c}\) = -1.28

The rejection region for this left-tailed test is R = {z : z < -1.282}

The z-statistics is computed as follow

\(z = \frac{X - µ _{0} }{sigma / \sqrt{n} }\)

   = (15.84 - 16) / (0.4 / √16)

   = -1.6

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