A gymnastics coach records the scores of a gymnast and develops the probability distribution below. What is the
probability the gymnast scores a 9 or 9.5?
Answers
Answer: 0.14
Step-by-step explanation: took the review and got it right
Considering that it is a probability distribution, it is found that there is a 0.14 probability the gymnast scores a 9 or 9.5.
What is the probability distribution?Researching on the internet, the probability of the gymnast getting each score is given by:
P(X = 5) = 0.02.P(X = 5.5) = 0.02.P(X = 6) = 0.06.P(X = 6.5) = 0.1.P(X = 7) = 0.16.P(X = 7.5) = 0.14.P(X = 8) = 0.18.P(X = 8.5) = 0.18.P(X = 9) = x.P(X = 9.5) = 0.02.Considering that it is a distribution, the sum of the probabilities has to be equals to 1, hence:
0.02 + 0.02 + 0.06 + 0.1 + 0.16 + 0.14 + 0.18 + 0.18 + x + 0.02 = 1
0.88 + x = 1
x = 0.12
The probability that the gymnast scores a 9 or 9.5 is:
p = P(X = 9) + P(X = 9.5) = 0.12 + 0.02 = 0.14.
0.14 probability the gymnast scores a 9 or 9.5.
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Related Questions
given x sin y - 2y^3 - 5 = 7x, use implicit differentiation to find dy/dx
Answers
Answer: \(\frac{dy}{dx}\) = \(\frac{ 7 - sin y }{ -6 y^{2} + x cos y }\)
Step-by-step explanation:
Given data,
x sin y - 2y^3 - 5 = 7x
Differentiate with each term with respect to the independent variable,
\(\frac{d}{dx}\) (x sin y) - \(\frac{d}{dx}\) (2y^3) - \(\frac{d}{dx}\) (5) = \(\frac{d}{dx}\) (7x)
Apply to the product rule,
sin y * \(\frac{d}{dx}\) (x) + x * \(\frac{d}{dx}\) (sin y) - \(\frac{d}{dx}\) (2 \(y^{3}\)) - \(\frac{d}{dx}\) (5) = \(\frac{d}{dx}\) (7x)
Apply the chain rule,
sin y * \(\frac{d}{dx}\) (x) + x* \(\frac{d}{dy}\) (sin y) * \(\frac{dy}{dx}\) - \(\frac{d}{dy}\) (2 \(y^{3}\))* \(\frac{dy}{dx}\) - \(\frac{d}{dx}\) (5) = \(\frac{d}{dx}\) (7x)
Take out the coefficients,
sin y * \(\frac{d}{dx}\) (x) + x * \(\frac{d}{dy}\) (sin y) * \(\frac{dy}{dx}\) -2 \(\frac{d}{dy}\) (\(y^{3}\)) * \(\frac{dy}{dx}\) - \(\frac{d}{dx}\) (5) = 7 * \(\frac{d}{dx}\) (x)
Differentiate the constants and power functions,
sin y + x * \(\frac{d}{dy}\) (sin y) * \(\frac{dy}{dx}\) - 2 * 3 * \(y^{2}\) * \(\frac{dy}{dx}\) = 7
Differentiate sin (x),
sin y + cos y * \(\frac{dy}{dx}\) - 2 * 3 * \(y^{2}\) * \(\frac{dy}{dx}\) = 7
Isolate,
\(\frac{dy}{dx}\) = [ 7-sin y ] / (-6 \(y^{2}\) + x cos y )
Therefore,
\(\frac{dy}{dx}\) = \(\frac{ 7 - sin y }{ -6 y^{2} + x cos y }\)
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Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
Answers
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the exact area of each shaded region in the figure. Then find the approximate area of the entire shaded region, rounded to the nearest whole unit.
Answers
An expression for the exact area of each shaded region in the figure include the following:
Shaded area = area of the regular hexagon - area of the regular pentagon + area of the square - area of the equilateral triangle.
How to calculate the area of a regular polygon?In Mathematics and Geometry, the area of a regular polygon can be calculated by using the following formula:
Area of a regular polygon = (n × s × a)/2
Where:
n is the number of sides.s is the side length.a is the apothem.Based on the diagram (see attachment), the area of the first shaded region is given by;
Area of first shaded region = Area regular hexagon - Area regular pentagon
For the area of the second shaded region, we have;
Area of second shaded region = Area of a square - Area of the equilateral triangle
Therefore, the total area of all of the shaded regions is given by;
Total shaded area = {area of the regular hexagon - area of the regular pentagon} + area of the square - {area of the equilateral triangle}.
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Write in standard form: 3.6 x 10^5*
Answers
Standard form is the process of writing down very large or very small numbers easily. The mathematical expression for standard form is shown below.
\(\begin{gathered} x\text{ }\times10^m \\ x\text{ is a positive real number betwe}en1\text{ and 10} \\ m\text{ is real number( both positive and negative)} \end{gathered}\)\(undefined\)360000
Help! Look at the figure. If mzJ = 55, find m
90
35
70
55
Answers
The value of the required missing angle is;
m<JKM = 35°
How to find the missing angle of the triangle?We know from geometry that the sum of angles in a triangle sums up to 180 degrees.
Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.
We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.
Thus to find the angle m<JKM, we can write the name expression as;
m<JKM = 180 - (90 + 55)
m<JKM = 35°
Thus that's the value of the required missing angle.
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Triangles WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
John has 66 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of each color does he have?
Answers
Answer:
Black socks 35
White socks 31
Step-by-step explanation:
Point C has a coordinate of (-4, -6) and point D has a coordinate of (1, -6), how far are they apart?
Answers
The distance between points C and D is given as follows:
5 units.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The coordinates for this problem are given as follows:
(-4, -6) and (1, -6).
Hence the distance is given as follows:
\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)
D = 5 units.
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Find the area of a circle whose radius is
52 km. Round to nearest tenth
Answers
Answer:
8494.87 is the actual answer but the rounded version is 8494.9
Step-by-step explanation:
3.142×52^2=8494.866535
8494.9 nearest tenth
Could someone please help me with this?
Answers
Answer: yes, 1/3, 1/3x
Step-by-step explanation:
Does x vary directly with y?
This basically means is this a linear function and the answer is yes it is.
What is the constant of variation?
The constant of variation is 1/3 because you have to multiply each x value by 1/3 to get the y value
What is the function rule?
y = 1/3x
Interactive Practice: Understand Statistical Questions and Data Distributions
Each day for three weeks, Isaias records the number of eggs his chickens lay. The frequency table
shows his data.
Which statement describes the data distribution?
The frequency increases as the number
of eggs increases.
The value with the greatest frequency is
6 eggs.
The range is 8 eggs.
The distribution is spread from 2 eggs to
7 eggs.
Number of Eggs
4
5
6
7
8
||||
11
Y
X
Answers
Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.
These questions typically ask about a population or group of individuals and are often related to trends or patterns.
Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.
To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.
This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.
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If each of $A,$ $B,$ $C$ stands for a nonzero digit in the following addition, then find the three-digit number $ABC.$
\[
\begin{array}{cccc}
& A & C & B \\
& B & A & C \\
& B & C & A \\
& C & A & B \\
+ & C & B & A \\ \hline
1 & 2 & 2 & 3
\end{array}
\]
Answers
Answer:
Here the pic
Step-by-step explanation:
Find the measure of <5.
45 = [?]
699
45
Enter
![Find the measure of <5.45 = [?]69945Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/kNP3kCBonfmKSbOIhWgI3yGLl8biJznT.png)
Answers
Answer:
Step-by-step explanation:
Answer:
Solution given:
<5+69°=180°[co- interior angle]
<5=180°-69°=111°
<5=111°
Grains of sand are very small, there being about 3000 grains in one cubic centimeter (cm3) of sand. A cm3 is a small cube measuring one cm on each side and is about the size of your little finger from the fingernail onward. Given that there are one million cubic centimeters (cm3) in one cubic meter (m3), how many grains are there in 1 m3of sand
Answers
Answer:
The value is \(x = 3.000 * 10^9 \ grains\)
Step-by-step explanation:
From the question we are told that
\(1m^3 = 10^6 cm^3\)
And that
\(3000 \ grains \ of \ sand \ is \ in \ 1cm^3\)
So the number of sand grain that is in \(1m^3\) is mathematically evaluated as
\(x = 3000 * 10^6 \ grains\)
=> \(x = 3.000 * 10^9 \ grains\)
Help me please I’ll give brainliest
Answers
Answer:
x = 5
Step-by-step explanation:
70 - 4x = 30 + 4x
Add 4x on both sides of the equation,
70 - 4x + 4x = 30 + 4x + 4x
70 = 30 + 8x
Subtract 30 from both sides of the equation to isolate 8x,
70 - 30 = 30 + 8x - 30
40 = 8x
Divide both sides of the equation by 8 to solve for x,
40 ÷ 8 = 8x ÷ 8
5 = x
Answer:
= 5 groups.
Step-by-step explanation:
Solve the equation 70 - 4x = 30 +4x 70 - 30 = 4x + 4x 40 = 8x x = 52. Substitute the equation
Classroom A = 70 STUDENTSClassroom B = 30 STUDENTS.70 - 20 = 30 + 20 50 = 5020 students from classroom A in groups of 4 = 20 divide by 4.= 5 groups.
The bakery’s expenses and receipts will both total $_____ after ___ hours
PLEASE HELP ♡
Answers
Expenses and receipts will total $2800 after 200 hours.
==============================================================
Explanation:
x = number of hours
Ron spends $11 an hour for operating costs. He spends 11x dollars on top of the $600 he spent on the equipment. The cost expression is 11x+600
On the flip side, Ron earns (on average) $14 an hour from the receipts or revenue. Overall, he earns 14x dollars.
Often in business applications, the owner is curious when s/he will break even. This is the point where the profit is 0 dollars, ie when cost = revenue.
So we'll set the two expressions equal to one another and solve for x.
cost = revenue
11x+600 = 14x
600 = 14x-11x
600 = 3x
600/3 = x
200 = x
x = 200
At the 200 hour mark is when Ron is likely to break even.
This x value leads to:
cost = 11x+600 = 11*200+600 = 2200+600 = 2800 dollarsrevenue = 14x = 14*200 = 2800 dollarsWe get the same cost for each expression, helping to confirm that x = 200 is correct.
The bakery's expenses and receipts will total $2800 after 200 hours.
Determine the domain and range of the quadratic function. \(f(x)=2x^{2}-4x+2\)
Answers
The domain of a quadratic function is (-∞, +∞), and the range depends on the coefficient a and can be [c, +∞) or (-∞, c] depending on the direction of the parabola.
To determine the domain and range of a quadratic function, we consider the characteristics of the function and its graph.
The domain of a quadratic function, represented by the variable x, is the set of all possible input values for which the function is defined. Since quadratic functions are defined for all real numbers, the domain of a quadratic function is (-∞, +∞) or the set of all real numbers.
The range of a quadratic function, represented by the variable y or f(x), is the set of all possible output values that the function can take. For a quadratic function in the form f(x) = ax^2 + bx + c, where a ≠ 0, the range depends on the coefficient a. If a > 0, the parabola opens upward, and the range is [c, +∞). If a < 0, the parabola opens downward, and the range is (-∞, c].
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Jose purchased a delivery van for his business through an online auction. His winning bid for the van was $34,750. In addition, Jose incurred the following expenses before using the van: shipping costs of $1,470; paint to match the other fleet vehicles at a cost of $1,590; registration costs of $4,836, which included $4,600 of sales tax and an annual registration fee of $236; wash and detailing for $141; and an engine tune-up for $318.
Required:
What is Jose’s cost basis for the delivery van?
Answers
Answer:
Jose's cost basis for the delivery van = $42,410
Step-by-step explanation:
Cost basis of a fixed asset can be described the original value of an asset for tax purposes which includes the purchase price, shipping, installation, sales tax, and other costs incurred that are related to the purchase of the fixed asset and to make it be in conformity with other assets in its class.
Based on this explanation, Jose's cost basis for the delivery van can be calculated as follows:
Jose's cost basis for the delivery van = Winning bid + Shipping costs + Cost of painting to match other fleet vehicles + Sales tax = $34,750 + $1,470 + $1,590 + $4,600 = $42,410
Ian gets $9.00 for each hour he works. He also gets $10.00 for each day he works. He made the equation y=9x+10x where x is the number of hours he works.
Explain why his equation will not tell him how much he makes in a day.
Answers
Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
30 + 15 x greater-than-or-equal-to 90
Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.
Answers
Hey there! I'm happy to help!
The only thing we have to do is solve our inequality to find the answer!
30+15x ≥ 90
We subtract 30 from both sides.
15x ≥ 60
Finally, we divide both sides by four.
x ≥ 4
Therefore, Deepak can only accept jobs that last 4 or more hours.
I hope that this helps! Have a wonderful day!
The solution for the inequality is x≥4. Therefore, option A is the correct answer.
Given that, Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The inequality for the given situation is 30+15x≥90
Subtract 30 on the both the sides of an inequality, which is
30+15x-30≥90-30
⇒ 15x≥60
Divide 15 on the both the sides of an inequality, that is
15x/15≥60/15
⇒ x≥4
The solution for the inequality is x≥4. Therefore, option A is the correct answer.
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- Which statement about negative numbers is NOT true? *
A. A negative number is always less than its opposite.
B. Negative numbers are less than postive numbers.
C. Negative numbers are located to the left of zero on a number line.
D. The absolute value of a negative number is negative.
Answers
Answer:
D
Step-by-step explanation:
Absolute values are always positive
The Fahrenheit temperature readings on 66 Spring mornings in New York City are
summarized in the table below. Construct and label a frequency histogram of the data
with an appropriate scale.
Temp (°F) Number of Days.
30-39
2
40-49
26
50-59
28
60-69
8
70-79
2
Graph answer Click and drag to make a rectangle. Click a rectangle to delete it.
Answers
To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.
The temperature ranges and their corresponding frequencies are as follows:
30-39: 2 days
40-49: 26 days
50-59: 28 days
60-69: 8 days
70-79: 2 days
To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.
Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.
Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.
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what is the derivative of sqrt(9x^2-1)
Answers
Answer:
900
Step-by-step explanation:
because I know answer
How many hours is equal to 1 1\2 days
Answers
Answer: 132 hours
Step-by-step explanation:
First you divide 11/2 which equals 5.5 then you multiply it with 24, which is equal to 132
151 3/16 divided by 10 1/4
Answers
Answer: 59/4 or 14 3/4
Step-by-step explanation:
151 3 /16 ÷ 10 1 /4
2419 /16 ÷ 41 /4
2419/16 × 4/41
2419 × 4 /16 × 41
9676 /656
Divide both sides by 164
9676 ÷ 164 / 656 ÷ 164
59 /4 = 14 3 /4
18+ 4(28) use the properites of operations to evaluate this expressions?
Answers
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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What is a good practice to remember when adding transitions to a presentation?
Answers
A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.
Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.
finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.
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Ms. Smith bought a 5 pound bag of candy for her 6 grade classroom. She gave away 2 pounds of candy to her students during the first unit of
instruction and ate 6 ounces of candy during planning.
How many ounces of candy does Ms. Smith still have in her bag?
Note: (1 pound = 16 ounces)
A 38 ounces
o
B. 42 ounces
O c. 48 ounces
D. 54 ounces
Answers
Answer:
42 ounces or B
Step-by-step explanation:
5 pounds - 2 pounds=3 pounds
3 pounds=48 ounces
48 ounces-6 ounces=42 ounces
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
Answers
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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Plot A of Astan Apple Orchard's produced an average of 246.343 bushels of apples over the last 5 years. The average number of bad bushels in the same period was 20.12. The approximate percentage of bad bushels was
Answers
Answer:
The approximate percentage of bad bushels was 8.17%.
Step-by-step explanation:
The percentage of bad bushels is given by the average number of bad bushels multiplied by 100 and divided by the average of bushels.
We have that:
Average number of bushels: 246.343
Average number of bad bushels: 20.12
The approximate percentage of bad bushels was
20.12*100%/246.343 = 8.17%
The approximate percentage of bad bushels was 8.17%.