In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays neither a sport nor an instrument?
lou on instrument
Probability that a student chosen randomly from the class plays neither a sport nor an instrument is 0.40
What is an event's probability?The possibility that an event will happen is referred to as the probability of the event. Mathematically, the likelihood of an event happening is represented by a number between 0 and 1.
Theoretically, P(A) represents the likelihood of event A.
In given problem (refer to image attached for table)
Total number of students = 8 + 7 + 3 + 12 = 30 students.
Out of this, Number of Students that neither plays sports as well as instruments are = 12
Let, 'A' be the event when student that neither plays sports as well as instruments gets choosen,
Then, Probability of occurance event A = P(A) = \(\frac{Favourable Outcomes}{ Total Outcomes}\)
Here, Favourable outcomes = 12 and Total outcomes = 30
Therefore, P(A) = 12/30 = 0.40
Hence, Probability that student choosen randomly from the class plays neither a sport nor an instrument is 0.40.
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A side length of a regular nonagon is an integer. The perimeter of the nonagon is 80
when rounded to the nearest ten. Determine the integer side length.
If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.
Step-by-step explanation:
A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.
\(n + n + n + n + n + n + n + n + n = 80\)
or
\(9n = 80\)
Solve for n
\(n = \frac{80}{9} \)
This rounded would make our interger side, 9
an irs representative claims that the average deduction for medical care is $1250. a taxpayer who believes that the real figure is lower samples 32 random families and comes up with a sample mean of $934 and a sample standard deviation of $619. what conditions are met?
Based on the provided information to conduct the hypothesis test the condition met are random sampling, sample size, independence. From this sample, the taxpayer calculates a sample mean of $934 and a sample standard deviation of $619.
To conduct a hypothesis test, we need to ensure certain conditions are met. These conditions are:
1. Random sampling :The taxpayer used a random sample of 32 families, which helps to ensure the sample is representative of the population.
2. Sample size: The sample size is 32, which is considered a large enough sample size for a hypothesis test (generally, a sample size of 30 or more is considered large enough).
3. Independence: Since the sample is random and the sample size is less than 10% of the population (assuming there are more than 320 families), the independence assumption can be considered as met.
4. Approximately normal distribution: With a sample size of 32 (which is considered large), the Central Limit Theorem suggests that the sampling distribution of the sample mean will be approximately normal.
With these conditions met, the taxpayer can proceed with a hypothesis test to compare their sample mean with the IRS representative's claimed average and determine whether the real figure for medical care deductions is likely to be lower than $1,250.
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The sum of two numbers is 16 and their difference is 2 the big number between them is
hello
the answer to the question is:
A + B = 16
A - B = 2
----> A = 9, B = 7
and the number between them is 8
from year to year, monthly data on the number of flu cases seen in a hospital emergency department would likely show consistent increases during certain months, and decreases during others. this is an example of group of answer choices exponential smoothing seasonality holt's method none of the above
The given scenario of monthly data on the number of flu cases seen in a hospital emergency department that shows consistent increases during certain months and decreases during others is an example of seasonality.
Seasonality refers to the predictable pattern of fluctuations in a time series data that occurs at regular intervals over a period of time. In this case, the seasonal pattern is related to the occurrence of the flu virus, which typically peaks during the winter months and decreases in the summer months.
Exponential smoothing is a statistical method used to forecast time series data, which involves assigning weights to past observations that decline exponentially over time. Holt's method is an extension of exponential smoothing that includes a trend component in addition to the level and seasonality components.
However, neither exponential smoothing nor Holt's method directly address seasonality in time series data. Therefore, the correct answer to the given question is "seasonality".
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For the rectangular prism, the length is 312 inches, and the height is 512 inches.
What is the width?
Answer:
I'm very sorry but you would need the volume to find the width.
Step-by-step explanation:
Answer: The answer is 396 in²
Step-by-step explanation:
TRUST ME I AM TRUSTWORTHY PERSON
I need help with these questions
Volume & S.A. of a Cone
1. The surface areas of the cones are;
1) 56.52 in² 2) 565.20ft² 3) 235.50 yd² 4) 898.04ft² 5) 942.00yd²
6) 75.36 in² 7) 1306.24yd² 8) 405.04in² 9. 339.12 ft²
2. The volumes of the cones are;
1) 84.78 in³ 2). 564.15ft³ 3) 4710yd³ 4) 2712.96in³ 5) 20.93ft³ 6) 870.82yd³ 7) 7846.86in³
3. The volume of the cone-shaped Santa hat is 75.36in³.
How do you calculate surface area and volume of a cone?For the normal cones, we use the formula πr² + πrl to calculate the surface area.
(3.14 x 25) + (3.14x10x5) = 235.50 yd²
(3.14 x 121) + (3.14x15x11) = 898.04ft²
However, for cones like the ones in 6 and 8, we use a slightly different formula. √H² + r² = L first and then π x r x (r + L).
For example 6. H= 4in r=3in
⇒ √(4^2 + 3^2) =5
⇒ 3.14 x 3 x (3 + 5) =75.36
To calculate the volume, we use the formula (V) = (1/3) x π x r² x H
For example, H= 9in r=3in ⇒
(1/3) x 3.14 x 3² x 9 = 84.78in³
The answers provided are based on the information in the picture;
1. Find the surface area of each cone. Round your answer to two decimal places ( use π = 3.14)
1. L = 7in r=2in 2. L=11ft r=9ft 3. L=10yd r=5yd 4. L=15ft r=11ft
5. L=20yd r=10yd 6. L= 4in r=3in 7. L=19yd r= 13yd 8. H=14in r= 8in
9. L=12ft r=6ft
2. Find the volume of each cone. Round to 2 decimal places. ( use π = 3.14).
1. H= 9in r=3in 2. H= 11ft r= 7ft 3. H=20yd r=15yd 4. H=18in r= 12in 5. H=5ft r=2ft 6. H=13yd r=8yd 7. H= 17in r= 21
3. For Christmas, Lily make paper cones santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? ( use π = 3.14)
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Antonia incorrectly solves the equation −2(14−54a)=6 . Her work is shown below.
Determine which of her steps are correct based on the work in the previous step. Drag and drop Yes or No into each box to show if her math is correct for each step.
Then, drag and drop the correct solution into the box to make the statement true.
Answer:
For the yes/no bit:
step 1: no
step 2: no
step 3: yes
step 4: yes
step 5: no
for the final answer bit: a = 2 3/5 (the last option)
Step-by-step explanation:
yes/no bit:
step 1 is wrong because she didn't multiply \(-\frac{5}{4}a\) by -2
step 2 is wrong because she subtracted 1/2 instead of adding it
step 3 is correct because 6 - 1/2 = 11/2
step 4 is correct because she correctly multiplied both sides by 4
step 5 is wrong because she added 5 instead of dividing by -5.
for the final answer bit, I've attached an image below with my working out. hope this helps!
How to determine if a graph represents y as a function of x?.
Answer:
Step-by-step explanation:
If it is not possible to draw a vertical line to touch the graph of a function in more than one place, then y is a function of x. For Example: Use the vertical line test to determine if the graph depicts y is a function of x.
Help please. I did my best to find the answer but...
Answer:
24
Step-by-step explanation:
This a special right triangle with angle measures of 30° 60° 90°
The side length that sees angle measure 30° is represented with a, the one that sees 90° is represented by 2a and the one that sees 60° is represented by a√2
AC sees angle B which has an angle measure of 60
(6√2)×(√2) = 24
Which of the following is true based on the graph? Nearly 200
∘
of cancer cases resorted in the U.S. are aithbusabis to smoking Physicat activity is a nsk factor for cancer cases reported in the U'. S. Acohol is a greator risk factoe for cancer cases than smokng
Based on the provided graph, the correct statement is that nearly "200 of the cancer cases reported in the U.S. are attributable to smoking".
The graph visually represents statistical data or relationships between variables by drawing lines or bars that connect data points or present information in a graphical format. In this case, the graph likely shows the attribution of cancer cases to smoking in the U.S.
Smoking is a dangerous practice that is known to be one of the leading causes of cancer worldwide. The link between smoking and cancer is well-established, with tobacco smoke containing various harmful chemicals that can damage DNA and increase the risk of developing cancer. It is estimated that nearly 25% of all cancer cases can be attributed to smoking.
The graph likely presents data indicating the number of cancer cases attributable to smoking in the U.S. Based on the information provided, the graph suggests that nearly 200 cancer cases in the U.S. can be directly linked to smoking.
Therefore, the correct statement is that nearly 200 of the cancer cases reported in the U.S. are attributable to smoking.
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Okay so I’m doing graph questions, so what’s “g(x) = x + 1” and what are the blanks?
Answer:
g(0) = 1, g(1) = 2, g(2) = 3, g(3) = 4, g(4) = 5
Step-by-step explanation:
g(x) is a function meant to modify the variable x.
Basically you take the x value in the table that you want to modify and you plug it into the g(x) function.
If you want 0, you do g(0) = (0) + 1 = 1.
Or if you want 3, you do g(3) = (3) + 1 = 4
Hope this helped!
x | y
-2 | -1
-1 | 0
0 | 1
1 | 2
2 | 3
do you like anime
Which equation has no solution?
Answer: It should be the third one
Step-by-step explanation:
What is the answer???
7( 2b +-8 + c)
Step-by-step explanation:
7*2b=7b
7*-8=-56
7*c7c
7b+-56+7c
How many solutions does the system have y =- 2x 4 7y =- 14x 28?
The given system of equations y = -2x + 4 and 7y = -14x + 28 have Infinite solutions.
We have two equations are y = -2x + 4 and 7y = -14x + 28
We have to find the number of solutions for this set of equations
Let us first solve the given equations
y = -2x + 4 eqn 1
7y = -14x + 28 eqn 2
Substitute eqn 1 into eqn 2
7(-2x + 4) = -14x + 28
-14x + 28 = -14x + 28
0 = 0
This means that given equations y = -2x + 4 and 7y = -14x + 28 have infinitely many solutions.
Therefore, The two lines may have an infinite number of intersecting points (infinite solutions).
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Assume a and b are variables that hold the base and height of a right triangle. The length of the long side (hypotenuse) is calculated as the square root of a^2 + b^2. Which expression calculates the length of the hypotenuse?
The expression that calculates the length of the hypotenuse is c = √a² + b²
Pythagoras theorem:c² = a² + b²
where
c = hypotenuse
a and b are the other legs
Therefore, the expression that calculates the length of the hypotenuse is as follows:
c² = a² + b²square root both sides to get the length of the hypotenuse c.
√c² = √a² + b²
Therefore,
c = √a² + b²
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If P(A) = 0.4 and P(B) = 0.6, then A and B must be collectively exhaustive. True False Could you please explain why?
Therefore, we cannot determine whether A and B are collectively exhaustive just from their probabilities that is the given statement is false.
The statement "A and B must be collectively exhaustive" means that the events A and B together cover all possible outcomes of the experiment. In other words, if A and B are collectively exhaustive, then there are no other possible outcomes of the experiment besides A and B.
In this case, we cannot determine whether A and B are collectively exhaustive just from their probabilities. It is possible that there are other events that could occur in the experiment that are not represented by A or B.
For example, if the experiment is flipping a coin, then A could represent the event of getting heads and B could represent the event of getting tails. In this case, A and B are collectively exhaustive because they cover all possible outcomes of the experiment. However, if there is a third event C that represents the coin landing on its edge, then A and B are not collectively exhaustive because there is another possible outcome of the experiment that is not represented by A or B.
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help me pleaseeeeeeeeeeeee
Answer:
Step-by-step explanation:
1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.
2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.
So 5/4 x 1/2 is 5/8.
3. Lila will need 5/8 cups of raisins.
This figure it made from part of a square and part of a circle. 10 5 10 5 The perimeter of this figure, rounded to the nearest whole number, is units. The area of this figure, rounded to the nearest whole number, is 40 SOuare units.
The given figure is made up of a square, rectangle and an arc as shown in the figure. The perimeter will be 38 units and the area will be 95 square units.
Perimeter the the total length of the boundaries. Here we know all the lengths except the length of the arc.
Length of an arc = θ/360 × 2πr
Here θ = 90
So length = 90/360 × 2× 3.14× 5 = 7.85 units
So perimeter = 10 + 5 + 7.85 + 5 + 10 = 37.85 ≈ 38 units
Area is formed by a rectangle, square and an arc
Area of the given rectangle = l×b = 10× 5 = 50 sq. units
Area of the square = s² = 5² = 25 sq. units
Area of the sector = θ/360 × πr² = 90/360× 3.14× 5² = 19.64 sq. units
So the total area = 50 + 25 + 19.64 = 94.64 ≈ 95 sq. units
So perimeter is 38 units and area is 95 units².
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The complete question is:
This figure is made from a part of a square and a part of a circle.
What is the perimeter of this figure, to the nearest unit?
What is the area of this figure, to the nearest square unit?
Diagram provided as image.
Write an equation of the line passing through the point (5,8) that is parallel to the line 7x + 5y = 3.
Answer:
y-8=-7/5(x-5)
Step-by-step explanation:
find the slope by rewriting the line's equation.
5y=3-7x
5y=-7x+3
y=-7/5x +3/5
since its parallel, the slope will be the same (-7/5)
use the formula y-y1=m(x-x1) for the point (5,8)
y-8=-7/5(x-5)
rearrange in the form y=mx+b if you wish.
A model measured in feet (ft) is composed of two cones joined at their bases, as shown.
2 ft
4 ft
What is the exact surface area, in square feet, of the model?
4
1 ft
26 square feet is the exact surface area of the composed figure with two cones.
The composed figure has two cones.
The formula to find the surface area of cone is A=πr(r+√h²+r²))
Where r is radius and h is height of the cone.
Both the cones have radius of 1 ft and height of 2ft and 4 ft.
Area of cone 1=3.14×1(1+√4+1)
=3.14(1+√5)
=10.16 square fee
Area of cone 2=3.14×1(1+√16+1)
=3.14(1+√17)
=16.01square feet.
Total surface area = 10.16+16.01
=26.17 square feet.
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PLEASEEE ANSWER QUICKK FOR 30 POINTS AND I WILL MARK AS BRAINLIEST
Answer:
x = 138
y = 25
Step-by-step explanation:
You just subtract 180 by the angles and then you get your answer.
for each value of w, determine whether it is a solution to w -39 =10 w = 46 w = 65 w=53 w=50
Answer:
w = 49
Step-by-step explanation:
w - 39 = 10
=> w = 10 + 39
=> w = 49
Please I need help on a true or false
Answer:
True.
Explanation:
When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)
You had $50. You spent 10% of the money on clothes, 20% on games, and the rest on
books. How much money was spent on books?
Answer:35 dollars
Step-by-step explanation:
Find the volume of the cylinder after the conic portion has Ben removed.Answer in term of pi.
Given a cylinder of radius = r = 6 ft, and a height = h = 10 ft
A conic portion removed from the cylinder
So, the volume of the remaining portion =
the volume of the cylinder - the volume of the cone
The volume of the cylinder =
\(\pi\cdot r^2\cdot h\)The volume of the cone =
\(\frac{1}{3}\pi\cdot r^2\cdot h\)so, the answer will be =
\(\pi\cdot r^2\cdot h-\frac{1}{3}\pi\cdot r^2\cdot h=\frac{2}{3}\cdot\pi\cdot r^2\cdot h=\frac{2}{3}\pi\cdot6^2\cdot10=240\pi\)So, the answer is option 3) 240pi
Solve for b.
Give an exact answer.
0.5(5 - 7b) = 8 - (4b + 6)
Answer:
b=-1
Step-by-step explanation:
Let's solve your equation step-by-step.
0.5(5−7b)=8−(4b+6)
Step 1: Simplify both sides of the equation.
0.5(5−7b)=8−(4b+6)
0.5(5−7b)=8+−1(4b+6)(Distribute the Negative Sign)
0.5(5−7b)=8+−1(4b)+(−1)(6)
0.5(5−7b)=8+−4b+−6
(0.5)(5)+(0.5)(−7b)=8+−4b+−6(Distribute)
2.5+−3.5b=8+−4b+−6
−3.5b+2.5=(−4b)+(8+−6)(Combine Like Terms)
−3.5b+2.5=−4b+2
−3.5b+2.5=−4b+2
Step 2: Add 4b to both sides.
−3.5b+2.5+4b=−4b+2+4b
0.5b+2.5=2
Step 3: Subtract 2.5 from both sides.
0.5b+2.5−2.5=2−2.5
0.5b=−0.5
Step 4: Divide both sides by 0.5.
0.5b/0.5=−0.5/0.5
b=−1
estimate the mean amount earned by a college student per month using a point estimate and a 95onfidence interval.
To estimate the mean amount earned by a college student per month, we can use a point estimate and a 95% confidence interval. A point estimate is a single value that represents the best estimate of the population parameter, in this case, the mean amount earned by a college student per month. This point estimate can be obtained by taking the sample mean. To determine the 95% confidence interval, we need to calculate the margin of error and add and subtract it from the sample mean. This gives us a range of values that we can be 95% confident contains the true population mean. The conclusion is that the point estimate and 95% confidence interval can provide us with a good estimate of the mean amount earned by a college student per month.
To estimate the mean amount earned by a college student per month, we need to take a sample of college students and calculate the sample mean. The sample mean will be our point estimate of the population mean. For example, if we take a sample of 100 college students and find that they earn an average of $1000 per month, then our point estimate for the population mean is $1000.
However, we also need to determine the precision of this estimate. This is where the confidence interval comes in. A 95% confidence interval means that we can be 95% confident that the true population mean falls within the range of values obtained from our sample. To calculate the confidence interval, we need to determine the margin of error. This is typically calculated as the critical value (obtained from a t-distribution table) multiplied by the standard error of the mean. Once we have the margin of error, we can add and subtract it from the sample mean to obtain the confidence interval.
In conclusion, a point estimate and a 95% confidence interval can provide us with a good estimate of the mean amount earned by a college student per month. The point estimate is obtained by taking the sample mean, while the confidence interval gives us a range of values that we can be 95% confident contains the true population mean. This is an important tool for researchers and decision-makers who need to make informed decisions based on population parameters.
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What is the radius of the circle x2+(y+3)2=81
Answer:
Step-by-step explanation:
Use the vertex form to determine the values of
a
,
h
, and
k
and use these values to find the direction the parabola opens, vertex, focus, axis of symmetry, and directrix.
what is |37.62 – (-47.87)| simplified
Answer:
85.49
Step-by-step explanation:
Absolute values are positive, just add.