Explanation of experimental and theoretical probability of rolling a 3 on a six-sided number cube.
The experimental probability of rolling a 3:
Simulate 35 rolls of a six-sided number cube to get results.
Count the number of times a 3 is rolled and calculate the experimental probability by dividing the number of 3s rolled by 35.
The theoretical probability of rolling a 3:
Theoretical probability = Number of favorable outcomes / Total number of outcomes = 1/6 (since there is 1 favorable outcome out of 6 possible outcomes).
Differences between theoretical and experimental probabilities:
Theoretical probability is based on calculations and assumptions, while experimental probability is based on actual observations. Discrepancies between the two can occur due to sample size, random variations, or errors in the simulation.
Over which interval are the exponential and linear function approximately the same? from 0.25 to 0.5 from 0.5 to 0.75 from 0.75 to 1.0 from 1.25 to 1.5
Answer:
the answer is C 0.75 to 1.0
Over the intervals 0.25 to 0.5, 0.5 to 0.75, and 0.75 to 1.0, the exponential and linear functions are approximately equal.
To determine over which interval the exponential and linear functions are approximately the same, we first need to define the functions. Let's denote the exponential function as [tex]\( f(x) = e^x \)[/tex] and the linear function as ( g(x) = mx + c ), where ( m ) is the slope and ( c ) is the y-intercept.
Given the intervals, we'll first need to calculate the values of the exponential function at the endpoints of each interval and then find the linear function that best approximates those values. We'll choose the linear function with the same value at the starting point of each interval and approximate the slope ( m ) based on the difference in the exponential function values at the endpoints of the interval.
Let's start with each interval:
1. Interval from 0.25 to 0.5:
- Endpoint 1:[tex]\( f(0.25) = e^{0.25} \approx 1.284 \)[/tex]
- Endpoint 2: [tex]\( f(0.5) = e^{0.5} \approx 1.649 \)[/tex]
- Approximating a linear function starting at ( f(0.25) ):
[tex]- \( m = \frac{f(0.5) - f(0.25)}{0.5 - 0.25} = \frac{1.649 - 1.284}{0.5 - 0.25} \approx 0.73 \)[/tex]
[tex]- \( c = f(0.25) \approx 1.284 \)[/tex]
- So, the linear function is [tex]\( g(x) \approx 0.73x + 1.284 \)[/tex]
2. Interval from 0.5 to 0.75:
- Endpoint 1:[tex]\( f(0.5) = e^{0.5} \approx 1.649 \)[/tex]
- Endpoint 2: [tex]\( f(0.75) = e^{0.75} \approx 2.117 \)[/tex]
- Approximating a linear function starting at ( f(0.5) ):
[tex]- \( m = \frac{f(0.75) - f(0.5)}{0.75 - 0.5} = \frac{2.117 - 1.649}{0.75 - 0.5} \approx 0.934 \)[/tex]
[tex]- \( c = f(0.5) \approx 1.649 \)[/tex]
- So, the linear function is [tex]\( g(x) \approx 0.934x + 1.649 \)[/tex]
3. Interval from 0.75 to 1.0:
- Endpoint 1: [tex]\( f(0.75) = e^{0.75} \approx 2.117 \)[/tex]
- Endpoint 2: [tex]\( f(1.0) = e^{1.0} \approx 2.718 \)[/tex]
- Approximating a linear function starting at ( f(0.75) ):
[tex]- \( m = \frac{f(1.0) - f(0.75)}{1.0 - 0.75} = \frac{2.718 - 2.117}{1.0 - 0.75} \approx 1.202 \)[/tex]
[tex]- \( c = f(0.75) \approx 2.117 \)[/tex]
- So, the linear function is [tex]\( g(x) \approx 1.202x + 2.117 \)[/tex]
4. Interval from 1.25 to 1.5:
- Endpoint 1:[tex]\( f(1.25) = e^{1.25} \approx 3.490 \)[/tex]
- Endpoint 2: [tex]\( f(1.5) = e^{1.5} \approx 4.482 \)[/tex]
- Approximating a linear function starting at ( f(1.25) ):
[tex]- \( m = \frac{f(1.5) - f(1.25)}{1.5 - 1.25} = \frac{4.482 - 3.490}{1.5 - 1.25} \approx 3.946 \)[/tex]
- [tex]\( c = f(1.25) \approx 3.490 \)[/tex]
- So, the linear function is[tex]\( g(x) \approx 3.946x + 3.490 \)[/tex]
Now, we can compare each linear approximation to the exponential function within its respective interval:
1. For the interval from 0.25 to 0.5, the linear function [tex]( g(x) \approx 0.73x + 1.284 \)[/tex] is approximately equal to the exponential function [tex]\( f(x) = e^x \).[/tex]
2. For the interval from 0.5 to 0.75, the linear function[tex]\( g(x) \approx 0.934x + 1.649 \)[/tex] is approximately equal to the exponential function [tex]\( f(x) = e^x \).[/tex]
3. For the interval from 0.75 to 1.0, the linear function [tex]\( g(x) \approx 1.202x + 2.117 \)[/tex] is approximately equal to the exponential function [tex]\( f(x) = e^x \).[/tex]
4. For the interval from 1.25 to 1.5, the linear function [tex]\( g(x) \approx 3.946x + 3.490 \)[/tex] is not approximately equal to the exponential function [tex]\( f(x) = e^x \).[/tex]
So, the exponential and linear functions are approximately the same over the intervals from 0.25 to 0.5, 0.5 to 0.75, and 0.75 to 1.0.
The population of California is approximately 3.8 × 107, and the population of Nebraska is approximately 1.9 × 106. Which state has the larger population, and by how many times is its population larger than the other state’s?
Answer:
california by 205.2
Step-by-step explanation:
3.8 times 107=406.6-California
1.9 times 106=201.4-Nebraska
205.2
Answer: The Population of California is larger than the population of Nebraska by 20 times
Step-by-step explanation:
Given
Population of California , [tex]P_C=3.8\times 10^{7}[/tex]
and population of Nebraska, [tex]P_N=1.9\times 10^{6}[/tex]
From above data it is clear that the population of California is larger than the population of Nebraska
And Ratio, [tex]\frac{P_C}{P_N}=\frac{3.8\times 10^{7}}{1.9\times 10^{6}}=\frac{38}{1.9}=20[/tex]
Thus the population of California is larger than the population of Nebraska by 20 times
There are 16 girls in a school club. The number of girls is four more than twice the number of boys. Find the number of boys
The problem describes a situation with 16 girls who are four more than twice the number of boys. By setting up and solving the simple algebra equation 2x + 4 = 16, we find there are 6 boys in the club.
Explanation:This is a word problem which can be solved using simple algebra. Given that there are 16 girls in the club and the number of girls is four more than twice the number of boys, we can set up the equation:
2x + 4 = 16
Where x stands for the number of boys. Solving this equation, we subtract 4 from both sides to get: 2x = 12. Dividing both sides by 2, we find that there are x = 6 boys in the club.
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Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several models and compare the values of R2.
y = 7.82x0.844
y = 6.81 e0.316x
y = 7.19 + 12.8 ln x
y = 4.40 + 5.00x
Answer:
i)
Find the attached
ii)
The mathematical model that best fits the data is;
y = 7.19 + 12.8 ln x
Step-by-step explanation:
i)
A scatter-plot can easily be constructed using applications such as Ms. Excel and Stat-Crunch.
In Ms. Excel we first enter the data in any two adjacent columns. Next, highlight the data, then click the insert ribbon and select the scatter-plot option.
Excel returns a scatter-plot chart as shown in the attachment below.
ii)
After obtaining the scatter-plot, we shall need to add a trend line in order to determine the mathematical model that best fits the data given.
Click anywhere inside the chart, then select the design tab under chart tools. Click on the Add Chart element in the upper left corner of the excel workbook and select more trend-line options. This feature will enable us to fit any trend-line to our data.
Select any trend line option ensuring you check the boxes; Display Equation on chart and Display R-squared value on chart.
Find the attached for the various trend-lines.
The mathematical model that best fits the data is;
y = 7.19 + 12.8 ln x
Since it has the largest R-squared value of 0.9905
[tex]\rm y = 7.19 + 12.8\ ln\ x[/tex], in this function, the scatter points follow this function. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Construct a scatterplot and identify the mathematical model that best fits the data.
Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models.
Use a calculator or computer to obtain the regression equation of the model that best fits the data.
You may need to fit several models and compare the values of R2.
A. [tex]\rm y = 7.82x + 0.844[/tex], in this function, the scatter points do not follow this function.
B. [tex]\rm y = 6.81 e^{0.316x}[/tex], in this function, the scatter points do not follow this function.
C. [tex]\rm y = 7.19 + 12.8\ ln\ x[/tex], in this function, the scatter points follow this function. Because the best fits.
D. [tex]\rm y = 4.40 + 5.00x[/tex], in this function, the scatter points do not follow this function.
The graph is shown.
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In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below:
*PIC*
How many liters of water can the three containers hold in all?
A) 3x
B) x + 3
C) 3x + 1
D) x^2 + x − 1
Answer:
A) 3x
Step-by-step explanation:
The total of all the volumes is ...
(x -1) + (x) + (x +1) = (1+1+1)x +(-1+1) = 3x+0 = 3x . . . . . matches choice A
What is the smallest fractional portion of an inch that you can measure with the ruler shown in Exam Figure A1?
A. 1/32"
B. 1/16"
C. 1/8"
D. 1/64"
Answer:
The minimun portion of inches that can be measured with the ruler is 1/16''.
Step-by-step explanation:
The precision , what is the minimun measurement that can be aprecciated by the ruler can be determined counting the number of disivion within 2 units. To this ruler we can count 16 division bwtween one unit and asecutive one.
Please help need answer quick
Answer:
20 students
Step-by-step explanation:
The percentage of students scoring a B or A = 38 + 25 = 63%
We need to evaluate 63% of the 32 students who did the test
(63/100)*32 = 20.16
Therefore, approximately 20 students earned a B or higher
Answer:
20
Step-by-step explanation:
The percentage of students gaining an A or B = 38 + 25 = 63%
Calculate 63% of the 32 students
63% = [tex]\frac{63}{100}[/tex] = 0.63, hence
0.63 × 32 ≈ 20
HELP ME OUT PLEASE!! A circular plot with a 250 ft diameter is watered by a spray irrigation system. To the nearest square foot, what is the area that is watered as the sprinkler rotates through an angle of 58∘?
≈ 41,179 ft^2
≈ 31,634 ft^2
≈ 2,517 ft^2
≈ 7,909 ft^2
Answer:
7,909 ft²
Step-by-step explanation:
If the diameter is 250 ft, that must mean the radius is 125 ft. For this problem, use the formula for area of a sector.
[tex]\frac{58}{360} \pi 125^{2}[/tex]
Answer:
≈ 7,909 ft^2
Step-by-step explanation:
163, 159, 155, 151.... What will the 23rd term in this sequence be?
the 23rd term would be 71. try using the website * m a t h w a y *and you can find answers like this.
hope i helped :)
Answer: Your answer is 71 and the other answerer is right m a t h w a y is really helpful with algebra and math questions.
Skee ball is a game played by rolling a wooden sphere up a ramp into a series of rings. The wooden ball has a surface area of about 531 square centimeters. What is the radius, in centimeters, of the ball? Round to the nearest tenth.
Answer:
Radius of the ball is approximately 6.5 cm to the nearest tenth
Explanation:
The ball has the shape of a sphere
Surface area of a sphere can be calculated using the following rule:
Surface area of sphere = 4πr² square units
In the given problem, we have:
Surface area of the ball = 531 cm²
Substitute with the area in the above equation and solve for the radius as follows:
[tex]531 = 4\pi r^2\\ r^2=\frac{531}{4\pi } = 42.255 \\ \\ r=\sqrt{42.255}=6.5004 cm[/tex] which is approximately 6.5 cm to the nearest tenth
Hope this helps :)
Evaluate the expression.
9! - 4!(5!)
Answer:
360,000
Step-by-step explanation:
The exclamation point is factorial:
9! = 9×8×7×6×5×4×3×2×1 = 362880
5! = 5×4×3×2×1 = 120
4! = 4×3×2×1 = 24
362880 - 120× 24 = 360000
It’s simple but my teacher has “33 ft” as an answer and Idk why...
Answer:
33 ft
Step-by-step explanation:
The distance of interest is apparently not the straight-line distance from the top of the vertical ladder to the ground (20 ft), but the length of the arc the top of the ladder makes as it rotates. That arc length (s) is given by ...
s = r·θ . . . . . where θ is the angle in radians subtended by the arc
Here, the radius is 20 ft, and the angle is the supplement of 85°, or 95° = (95/180)π radians.
s ≈ (20 ft)·(1.65806 radians) ≈ 33.16 ft ≈ 33 ft
The scatter plot shows the annual earnings and tenures of a few employees of Stan & Earl Corp.
The regression line for this data set has a slope close to m = (5.5,35,-50,-2.5) , and the correlation coefficient is close to (0.20,0.40,0.75,0.95) .
Based on this information, we can conclude that employees’ annual earnings are (strongly related, moderately related, weakly related, not related) to their tenure. Employee earnings (increase with, decrease with, are not affected by) tenure.
Answer:
i) 35
ii) 0.95
iii) employees’ annual earnings are strongly related to their tenure
iv) Employee earnings increase with tenure.
Step-by-step explanation:
i) The regression line for this data set has a slope close to m = 35
To find the slope of the regression line we need to find two points that lie on the line or that are very close to the line.
We have the following two points;
(1, 175) and (2.5, 225)
slope = (change in y) / (change in x)
= (225-175)/(2.5-1) = 33.33
This is close to 35.
ii) The correlation coefficient is close to 0.95
The coefficient of correlation is a measure of the degree of association between two variables. Correlation coefficient gives information on the strength and direction of a linear association.
The scatter-plot reveals that the annual earnings and tenures of the employees of Stan & Earl Corp are strongly positively associated hence the correlation coefficient is close to 0.95.
iii) Based on this information, we can conclude that employees’ annual earnings are strongly related to their tenure.
The correlation coefficient was found to be close to 0.95. A value greater than 0.7 shows a strong degree of association between two variables. Therefore, employees’ annual earnings are strongly related to their tenure
iv) Employee earnings increase with tenure.
The slope of the regression line of the data set was found to be close to 35. A positive slope implies that the response variable increases with increase in the explanatory variable.
Nevertheless, the correlation coefficient was also found to be positive which suggests a positive association between employee earnings and tenure.
Answer:
The regression line for this data set has a slope close to m = (35) , and the correlation coefficient is close to (0.95) .
Based on this information, we can conclude that employees’ annual earnings are (strongly related) to their tenure. Employee earnings (increase with) tenure.
Step-by-step explanation:
If Ruth contributed $10,000 toward the total group investment of $200,000 for the purchase of a seafood restaurant, what percentage of the company does she own?
Answer:
20 %
Step-by-step explanation:
10000/200000
The percentage of the company she owns is equivalent to 5%.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that if Ruth contributed $10,000 toward the total group investment of $200,000 for the purchase of a seafood restaurant.
Assume that the percentage of the company she owns is equivalent to [x] percent. So, we can write -
10000 = [x]% 0f 200000
10000 = [x]/100 × 200000
10000 = [x] × 2000
[x] = (10000/2000)
[x] = 5%
Therefore, the percentage of the company she owns is equivalent to 5%.
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This circle below is centered at the point (3 -4) and has a radius of length 3. What is its equation
Answer:
[tex](x-3)^2+(y+4)^2=9[/tex]
Step-by-step explanation:
The equation of a circle with center at (h,k) and radius r units is found using:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The given circle is centered at the (3,-4) and has radius 3 units,
The equation of this circle is obtained by substituting the given values.
This gives us:
[tex](x-3)^2+(y--4)^2=3^2[/tex]
We simplify to get:
[tex](x-3)^2+(y+4)^2=9[/tex]
Answer:
(x-3)2+(y-4)2=9
Step-by-step explanation:
quadrilateral ABCD is located at A(-2,2) B (-2,4) C(2,4) D(2,2). The quadrilateral is then transformed using the rule (x-2, y+8) to form A’B’C’D’. Describe what characteristics you would find if the corresponding vertices were connected with line segments !!! HELP WILL MARK AS BRAINLIEST PLS HELP!!
Answer:
Those line segments are parallel and all the same length.
Step-by-step explanation:
Translation modifies the coordinates of each point the same way, moving the point some distance in some direction. Hence the line segments connecting original to image points will all have the same length and direction.
_____
Comment on the question
The question is pretty open-ended. If it is multiple choice, perhaps there is a choice that more or less expresses the idea above. Otherwise, it is hard to tell what the question is driving at.
How do you evaluate the limit?
Answer:
Step-by-step explanation:
First of all the answer.
[tex]\lim_{n \to -\infty}2^x= 1/ \lim_{n \to \infty}1/2^x = 0[/tex]
[tex]\lim_{n \to -\infty} 1-2^x = 1[/tex]
This approaches 0/1 = 0
The graph is included to show that this is the answer I get.
After a group of 24 parts were tested. 5 were found defective. About what percent of the parts were defective
Answer:
20.8%
Step-by-step explanation:
5/24= defective
^divide, and multiply by 100 to get percent
:)
The required percentage of defective parts is 20.8%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
After a group of 24 parts was tested. 5 were found defective.
The required percentage of the defective parts is given as,
= 5 / 24 × 100%
= 0.208 × 100%
= 20.8%
Thus, the required percentage of defective parts is 20.8%.
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(25 points)
Mr. Price earns $350 per week working in an appliance store. In addition, he earns 3% commission on all of his sales.
Last week, he sold $3, 800 worth of appliances.
What was Mr. Price's total income for the week?
A) $114
B) $236
C) $464
D) $556
Answer:
c
Step-by-step explanation:
commission is basically 3 percent of what he sells he gets, sooooo 3 percent of 3800 is 114 (3800 × .03 because change the percent to decimal) and add it to his pay :)
Answer:
D
Step-by-step explanation:
The slope of a speed-time graph indicates
Answer:
acceleration
Step-by-step explanation:
In a speed-time graph, the speed data is on the Y-axis and the time is represented on the X-axis.
A slope is the variation of Y-values over the variation of the X-values between to points.
So, the slope of a speed-time graph would be the variation of the speed over the variation of time.
Let's say your units are m/s for the speed and s for the time.
The slope units would then be calculated by dividing m/s by s... (m/s) / s....
That would give you m/s², which is an acceleration unit.
joshua brought 156 of his 678 legos to emily house.what percentage of legos did joshua bring
Answer:
23%
Step-by-step explanation:
156 / 678 * 100 = 23%
The correct answer is 23%
Final answer:
Joshua brought about 23% of his LEGOs to Emily's house, which is calculated by dividing 156 (the number of LEGOs he brought) by 678 (the total number he owns) and then multiplying by 100.
Explanation:
To find what percentage of LEGOs Joshua brought to Emily's house, you divide the number of LEGOs Joshua brought by the total number of LEGOs he owns and then multiply the result by 100.
The formula to find the percentage is:
(Number of items of interest ÷ Total number of items) × 100 = Percentage
So in this case, it would be:
(156 ÷ 678) × 100
First, you perform the division:
156 ÷ 678 = 0.23 (rounded to two decimal places)
Then multiply by 100 to find the percentage:
0.23 × 100 = 23%
Therefore, Joshua brought about 23% of his LEGOs to Emily's house.
What questions can you ask yourself as you decide on a career field?
What do I love to do?
What brings me joy?
What am I naturally good at?
All of the above
Answer:
What do I love to do?
What brings me joy?
What am I naturally good at?
Answer is all of the above - last choice
Which shows reflection
Is it c?
Will give BRAINLIEST. Can't see these very well
Answer:
B
Step-by-step explanation:
You could take these images (if you can visualize it)
And paste it into SM paint, and then reflect it.
But, if you look closely, A is just the notes higher, but not reflected, or changed in any other way.
C the second note is lower in the reflection. The notes shouldn't change in a reflection. Just the order.
An engineering student is studying the effects of cryogenic treatments on a particular material. The treatment involves cooling the material with
specific applications of liquid nitrogen
The temperature of the material in degrees Celsius, y, can be modeled by the following graph, where x represents the time, in hours, since the
treatment began
Answer:
option c
Step-by-step explanation:
The object reaches -200 degrees C at 15 hrs, coldest temperature it ever achieved
Answer:
The correct option is C.
Step-by-step explanation:
It is given that the temperature of the material in degrees Celsius, y, can be modeled by the following graph, where x represents the time, in hours.
From the given graph it is clear that
1. The y-intercept is 40, so the initial temperature is 40 degree Celsius.
2.The vertex of the upward parabola is at (15,-200), so material's temperature reaches a minimum -200 degrees Celsius at 15 hours.
3. The material return to its initial temperature after 30 hours because the temperature is 40 degree Celsius at x=30.
Therefore the correct option is C.
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 75 pounds. A total of 22 boxes of paper were shipped weighing 1350 pounds altogether. Determine the number of small boxes shipped and the number of large boxes shipped.
To determine the number of small boxes and large boxes shipped, we can set up a system of equations and solve for the variables. In this case, we have two equations based on the total weight and the total number of boxes. By using the elimination method, we can find that 10 small boxes and 12 large boxes were shipped.
Explanation:To solve this problem, we can set up a system of equations. Let's denote the number of small boxes as x and the number of large boxes as y. We can then write two equations based on the information given:
45x + 75y = 1350 (equation 1) (since the total weight is 1350 pounds)
x + y = 22 (equation 2) (since the total number of boxes is 22)
We can solve this system of equations by either substitution or elimination method. Let's use the elimination method. Multiply equation 2 by 45 to make the coefficients of x in both equations equal:
45x + 45y = 990 (equation 3)
Now, subtract equation 3 from equation 1:
45x + 75y - (45x + 45y) = 1350 - 990
30y = 360
y = 12
Substitute the value of y back into equation 2:
x + 12 = 22
x = 10
Therefore, the number of small boxes shipped is 10 and the number of large boxes shipped is 12.
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Pam shipped 10 small boxes and 12 large boxes of paper.
Let's denote:
- x : Number of small boxes of paper.
- y : Number of large boxes of paper.
1. Total number of boxes shipped:
x + y = 22
2. Total weight of the shipment:
[tex]\[ 45x + 75y = 1350 \][/tex]
Now, let's solve these equations step-by-step.
Solve for x + y = 22
From equation (1):
[tex]\[ x + y = 22 \]\[ y = 22 - x \][/tex]
Substitute y = 22 - x into equation (2)
Substitute y = 22 - x into equation (2):
[tex]\[ 45x + 75(22 - x) = 1350 \][/tex]
Expand and simplify:
[tex]\[ 45x + 1650 - 75x = 1350 \]\[ -30x + 1650 = 1350 \][/tex]
Solve for x
Subtract 1650 from both sides:
[tex]\[ -30x = 1350 - 1650 \]\[ -30x = -300 \][/tex]
Divide both sides by -30:
[tex]\[ x = \frac{-300}{-30} \]\[ x = 10 \][/tex]
Find y
Now that we have ( x = 10 ), substitute back into ( y = 22 - x ):
[tex]\[ y = 22 - 10 \]\[ y = 12 \][/tex]
- Number of small boxes: 10
- Number of large boxes: 12
Check the total weight:
[tex]\[ 45 \times 10 + 75 \times 12 = 450 + 900 = 1350 \text{ pounds} \][/tex]
This matches the given total weight of 1350 pounds, confirming that our solution is correct.
Please answer this multiple choice question CORRECTLY for 30 points and brainliest!
Answer:
B
Step-by-step explanation:
If we imagine this is on a clock, then point P is at the 9-o'clock position. When we rotate it 90 degrees clockwise, that's a quarter rotation, so P' will be at the 12-o'clock position. So the coordinates of P' will be (0, 5).
A jewelry box contains two gold hoop earrings and two silver hoop earrings. You randomly choose two earrings. What is the probability that both are silver hoop earrings? Write your answer as a fraction or percent rounded to the nearest tenth. The probability that both are silver hoop earrings is .
Answer:
fraction is 2/4
Step-by-step explanation:
A spinner has 4 equal sections. after 12 spins, the spinner landed on section a 4 times, section b 5 times, section c 2 times, and section d 1 time. what is the experimental probability of the spinner stopping on section a?
Answer:
The Experimental Probability of the spinner stopping on Section A is 1/3.
Step-by-step explanation:
Number of time spinner landed on section A = 4
Number of time spinner landed on section B = 5
Number of time spinner landed on section C = 2
Number of time spinner landed on section D = 1
Total Number of spins = 12
[tex]Probability=\frac{Number\:of\;Favorable\:outcome}{Number\:of\:total\;outcome}=\frac{4}{12}=\frac{1}{3}[/tex]
Therefore, The Experimental Probability of the spinner stopping on Section A is 1/3.
Which numbers are necessary to solve this problem? Franklin brought 4 jump ropes to the park. Each jump rope can be used by 3 people at a time. Fifteen friends came to the park to jump rope. How many friends could play jump rope if all of Franklin's ropes were being used? A. 4 jump ropes, 3 people B. 3 people, 15 friends C. 4 jump ropes, 15 friends D. 4 jump ropes, 3 people, 15 friends
Answer:
D. 4 jump ropes, 3 people, 15 friends
Step-by-step explanation:
In order to answer the question how many friends could play, you need to be able to determine the smaller of ...
(number of ropes) × (friends per rope)number of friendsYou can find the first of these numbers using the values of answer A, but if the number of Franklin's friends is smaller than 12, then you need to know that in order to properly answer the question. Hence, we believe you need to know ...
the number of jump ropesthe number of friends per ropethe number of friendsA wall map is 45 cm high and 27 cm wide. Ashley wants to proportionately shrink it so its height is 12 cm. How wide would it be then?
Answer:
20 centimeters
Step-by-step explanation:
27 / x = 12
x = 2.25 times
width would be 45 / 2.25 = 20 centimeters