Answer:
C.
Step-by-step explanation:
If you know how much each class is selling tickets for and how much they've already raised then you take those two values and set them equal to each other.
2.5t + 350 = 3t + 225
To actually find the number of tickets each class would have to sell you would just solve for t.
Consider the statement: 4 − 3 + 5 = −6 + 8 + 4. This is a mathematically
correct sentence.
Answer:
yes it is true
Step-by-step explanation:
they both equal 6
Answer:
no.
Step-by-step explanation:
4-3+5= -6+8+4
-4 does not equal 6
7. A stereo speaker in the shape of a triangular pyramid
has a height of 12 inches. The area of the base of the
speaker is 22 square inches.
What is the volume of the speaker in cubic inches?
Answer:
88
Step-by-step explanation:
memorize this formula:
V = 1/3AH
a is base area
h is height
so V = 1/3 *22*12= 88
can anyone solve this problem?
Answer:
\( \sqrt{2 + \sqrt{2 + \sqrt{81 + 2 \sqrt{1568} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 2 \times 28 \sqrt{2} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 56 \sqrt{2} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 79.2} } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{160.2} } } \\ = \sqrt{2 + \sqrt{2 + 4 \sqrt{10} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + \sqrt{2} \sqrt{10} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + \sqrt{20} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + 2 \sqrt{5} } } \\ = \sqrt{2 + \sqrt{2} \times \sqrt{5.5} } \\ = \sqrt{2 + \sqrt{11} } \\ = \sqrt{2 + 3.3} \\ = \sqrt{5.3} = 2.3\)
\(thank \: you\)
Answer:
1 + √2Step-by-step explanation:
Start with the inner root:
81 + 2√1568 = 49 + 2*28√2 + 32 = 7² + 2*7*4√2 + (4√2)² = (7 + 4√2)²Move to next one:
2 + 7 + 4√2 = 1 + 2*2√2 + 8 = 1² + 2*2√2 + (2√2)² = (1 + 2√2)²The last one:
2 + 1 + 2√2 = 1 + 2√2 + 2 = 1² + 2*1*√2 + (√2)² = (1 + √2)²The root of the last one is:
1 + √25 questions. ill give brainliest to the best answer
Answer:
pls mark me brainliest
Step-by-step explanation:
1 term85+5th one i wont be able to do
Step-by-step explanation:
285+9x=9×3=277x-4=21-4=17
11+x=11+0=11
9x=9×0=0
7x-4=7×0-4=0-4=-4
11+x=11+(-2)=11-2=9
9x=9×(-2)=-18
7x-4=7×(-2)-4=-14-4=-18
11+x=11+5=16
9x=9×5=45
7x-4=7×5-4=35-4=31
Please mark as brainliest !!
Assume that direct labor-hours is used as the overhead allocation base. what is the variable overhead efficiency variance?
The variable overhead efficiency variance is a measure of the difference between the actual hours of direct labor used and the standard hours of direct labor allowed for producing a certain level of output.
It indicates whether the actual usage of direct labor hours was more or less efficient than the standard set for the given level of production.
The variable overhead efficiency variance is a component of variance analysis used in cost accounting. It is calculated by subtracting the standard hours of direct labor allowed from the actual hours of direct labor used, and then multiplying the difference by the standard variable overhead rate. The formula for the variable overhead efficiency variance is as follows:
Variable Overhead Efficiency Variance = (Actual Hours - Standard Hours) × Standard Variable Overhead Rate
The variable overhead efficiency variance provides insight into the efficiency of utilizing direct labor hours in the production process. If the actual hours of direct labor used are greater than the standard hours allowed, it indicates an unfavorable variance, suggesting that more labor hours were consumed than necessary for the given level of output. On the other hand, if the actual hours are less than the standard hours allowed, it results in a favorable variance, indicating that the labor hours were used more efficiently than expected.
By analyzing the variable overhead efficiency variance, managers can identify areas where labor utilization can be improved and take appropriate actions to reduce inefficiencies. This variance helps in monitoring and controlling production costs by assessing the effectiveness of labor utilization in relation to the standards set for the production process.
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Use Newton's method with initial approximation
x1 = −2
to find x2, the second approximation to the root of the equation
x3 + x + 6 = 0.
Use Newton's method with initial approximation
x1 = −2
to find x2, the second approximation to the root of the equation
x3 + x + 6 = 0.
x2 = -2.0000. In this way, we get x2, the second approximation to the root of the equation using Newton's method with an initial approximation x1 = −2.
Newton's method is one of the numerical methods used to estimate the root of a function.
The following are the steps for using Newton's method:
Let the equation f (x) = 0 be given with an initial guess x1, and let f′(x) be the derivative of f(x).
Determine the next estimate, x2, by using the formula x2 = x1 - f (x1) / f'(x1).
Therefore, the given equation is x³ + x + 6 = 0.
Let us use Newton's method to solve the given equation. We have x1 = -2, which is the initial approximation.
Therefore, f(x) = x³ + x + 6, and f'(x) = 3x² + 1.
To find x2, the second approximation to the root of the equation, we need to substitute the values of f(x), f'(x), and x1 into the formula x2 = x1 - f (x1) / f'(x1).
Substituting the given values in the above equation we get, x2 = x1 - f (x1) / f'(x1) = -2 - (-2³ - 2 + 6) / (3(-2²) + 1) = -2 - (-8 - 2 + 6) / (3(4) + 1) = -2 - (-4) / 13 = -2 + 4 / 13 = -26 / 13
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if there's a 3% chance of something happening when one thing happens, how do you calculate the chances when doing the thing multiple times?
To calculate the chances of something happening when doing the same thing multiple times, given a 3% chance of it happening each time, you can use the concept of probability and multiply the individual probabilities together.
If there is a 3% chance of something happening in one trial, it means there is a 0.03 probability of it occurring. To find the probability of it happening in multiple trials, you multiply the individual probabilities together.
For example, if you want to know the chances of this event happening in two trials, you would multiply 0.03 by 0.03:
0.03 * 0.03 = 0.0009
So, there is a 0.09% chance (0.0009 probability) of this event occurring in two trials.
Similarly, if you want to know the chances of it happening in three trials, you would multiply 0.03 by itself three times:
0.03 * 0.03 * 0.03 = 0.000027
So, there is a 0.0027% chance (0.000027 probability) of this event occurring in three trials.
In general, if you want to calculate the chances of this event happening in 'n' trials, you would multiply 0.03 (or the decimal equivalent of the percentage) by itself 'n' times.
Keep in mind that this assumes the events are independent, meaning that the outcome of one trial does not affect the outcome of subsequent trials.
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Please help me please
Answer:
c i think
Step-by-step explanation:
, when substituted for the variable, makes the equation 5 x − 3 = 7 true?
Answer:
x should equal 2
Step-by-step explanation:
5x2=10
10-3=7
3x = 9х
What does x =
x = 0
here's an explanation
3x = 9x
subract 9x from both sides
3x - 9x = 6x 9x - 9x = 0
this gives you
6x = 0
divide 6x on both sides
6x/6 = x 0/6 = 0
x = 0
question help please
Answer:
x = 25
Step-by-step explanation:
The sum of the three interior angles of a triangle is always 180°.
4x + 2x + 30 = 180
6x + 30 = 180
6x = 150
x = 25
Answer:
sum of the interior angles of a triangle =180
2× + 4× + 30=180
6× + 30= 180
6× + 30 = 180
6× = 180-30
6× =150
6×/6=150/6
×= 25
Marty and Ethan both wrote a function, but in different ways.
Marty
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.
Ethan
A two column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 9.2, 9.6, 10, 10.4.
Whose function has the larger slope?
Answer:
Marty's function has larger slope as compared to Ethan's slope.
Step-by-step explanation:
Marty function:
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.
Writing in mathematical form: \(y+3=\frac{1}{3}(x+9)\)
Marty has written expression in point-slope form: \(y-y_1=m(x-x_1)\) where m is slope
So, comparing Marty's equation with general point-slope form equation we get slope \(m=\frac{1}{3}\:or\: 0.3\)
Now, Ethan has a table
x y
-4 9.2
-2 9.6
0 10
2 10.4
We can find slope using formula: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)
Using any two points, we can find slope of Ethan's equation
\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{9.6-9.2}{-2-(-4)} \\Slope=\frac{0.4}{-2+4} \\Slope=\frac{0.4}{2} \\Slope=0.2\)
So, we get Marty's slope = 0.3
Ethan's slope = 0.2
So, Marty's function has larger slope as 0.3 is greater than 0.2
Answer:
C
Step-by-step explanation:
What is 1 with an exponent of 0?
Answer:
1
Step-by-step explanation:
Anything (besides 0) to the 0 power is 1.
The Point class represents x,y coordinates in a Cartesian plane. Which line of code appears completes this operator which transforms a Point by dx and dy? (Members written inline for this problem.) class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return _________________________;}
The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.
The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`
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Two computer monitors sitting side by side on a shelf in an appliance store have the same screen height. One has a screen that is 7 in. Wider than it is high. The other has a wider screen that is 1. 8 times as wide as it is high. The diagonal measure of the wider screen is 3 in. More than the diagonal measure of the smaller screen. What is the height of the screens, correct to the nearest 0. 1 in. ?
The height of the screens is 11.1 inches, correct to the nearest 0.1 inch.
How to measure the heightLet's call the height of the screens "H" and the width of the smaller screen "W". We know from the question that the width of the smaller screen is 7 inches wider than the height, so W = H + 7.
We also know that the width of the wider screen is 1.8 times the height, so 1.8H = W + 3.
Now we can use the Pythagorean Theorem to find the diagonal measure of each screen. For the smaller screen, the diagonal measure is √(H² + W²) and for the wider screen, it is √(H² + (1.8H)²).
Since the diagonal measure of the wider screen is 3 inches more than the diagonal measure of the smaller screen, we can set up an equation: √(H² + W²) + 3 = √(H² + (1.8H)²).
Substituting W = H + 7 into the equation, we get √(H² + (H + 7)²) + 3 = √(H² + (1.8H)²).
Squaring both sides of the equation and simplifying gives us H² + H² + 14H + 49 + 9 = H² + 3.24H².
Combining like terms and solving for H gives us H = 11.1 inches.
So the height of the screens is 11.1 inches, correct to the nearest 0.1 inch.
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HELP PLS 60 POINTS , Math Law Identification.
The first law is called the Law of Detachment. The law states that if p → q and p is true, then q is true.
The second law is the Law of Syllogism. It states that If p → r and q → r, then p → r is true.
What is the use of the Law of Detachment?It is to be noted that the Law of Detachment is the most often employed deductive reasoning theory.
In other words, if a conditional statement and its hypothesis are true, the conclusion is likewise true. In other words, the conclusion may be "separated" from the conditional.
In the above instance, p is synonymous with having a cat; while q is synonymous with it chasing a rat.
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• Identify all of the following that are prime numbers. (5 points)
12
197
11
27
031
142
59
163
072
81
Answer:
11
31
59
163
djdhxnwnxnwjsnhsd
what is the answer to 6x+6-3(x-2)=x+4
need step by step explanation
Answer:x = -4
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x+6-3*(x-2)-(x+4)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
((6x + 6) - 3 • (x - 2)) - (x + 4) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x + 8 = 2 • (x + 4)
Equation at the end of step
3
:
2 • (x + 4) = 0
STEP
4
:
Equations which are never true:
4.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
in a frequency distribution for a numerical variable, the total number of intervals in a frequency distribution usually ranges from to .
The total number of intervals in a frequency distribution for a numerical variable can vary depending on the range and nature of the data, typically ranging from a minimum of 5 to a maximum of 20 intervals.
A frequency distribution is a representation of data that organizes values into intervals or bins and shows the number of occurrences or frequencies within each interval. The choice of the number of intervals depends on the characteristics of the data and the desired level of detail in the distribution. Generally, it is recommended to have at least five intervals to capture the overall pattern of the data. Too few intervals may oversimplify the distribution, while too many intervals may result in excessive detail and difficulty in interpretation.
The maximum number of intervals, often around 20, is determined by the data range and the desired level of granularity. When the range of values is large or the data contains outliers, more intervals may be needed to capture the variations accurately. On the other hand, if the range is small or the data is relatively homogenous, a smaller number of intervals may suffice. Balancing the level of detail with the readability and interpretability of the distribution is essential to effectively communicate the information contained in the data.
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A frequency distribution for a numerical variable is a statistical tool that groups the data into intervals and counts the frequency of observations within each interval. The total number of intervals typically ranges from 5 to 20. However, the choice of how many intervals to use depends on the total number of observations in the dataset and the need to balance detail with complexity.
Explanation:In the realm of statistics, creating a frequency distribution for a numerical variable is a common task. In a frequency distribution, data is grouped into intervals or classes, and the frequency of observations within each interval is counted. When determining the number of intervals, it often depends on the total number of observations in the dataset.
Typically, the total number of intervals in a frequency distribution may range from 5 to 20. These are rough guidelines though, and the number of intervals you decide upon should best represent the data and make it easier to interpret.
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The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion.
Which statements are true?
Select each correct answer.
The car makes a complete revolution in 5 s.
The maximum height of the Ferris wheel is 64 ft.
The radius of the Ferris wheel is 30 ft.
If the car is loaded at 0 s, then people are loaded at the lowest point of the Ferris wheel.
The table of values:
Time (seconds) Height (feet)
0 34
2.5 64
5 34
7.5 4
10 34
12.5 64
15 34
17.5 4
20 3
Answer:
The maximum height of the ferris wheel is 64 ft.
The radius of the ferris wheel is 30ft.
Step-by-step explanation:
i took the test :)
True statements are:
'The car makes a complete revolution in 5 s.'
'The maximum height of the Ferris wheel is 64 ft.'
'The radius of the Ferris wheel is 30 ft.'
What is Ferris wheel ?An amusement ride consisting of a rotating upright wheel with multiple passenger-carrying components attached to the rim in such a way that as the wheel turns, they are kept upright, usually by gravity is called a Ferris wheel. Wheel is of circle shape having axle joint to the rim with spikes.
Given table
Time (seconds) Height (feet)
0 34
2.5 64
5 34
7.5 4
10 34
12.5 64
15 34
17.5 4
20 34
statements,
a) The car makes a complete revolution in 5s,
It's true, because the car reaches at the same height in every 5 seconds.
b) The maximum height of the Ferris wheel is 64 ft,
it's true, because observing the table, maximum height is 64 ft.
c) Radius of the Ferris wheel = 30 feet,
It's true because, the height of the car is 4 feet and it achieves maximum height = 64 feet
Diameter of wheel = 64 - 4 = 60 ft
Radius = 60/2 = 30 ft.
d) If the car is loaded at 0 s, then people are loaded at the lowest point of the Ferris wheel.
It's false because the lowest point is 4 ft. but at 0 second height is 34 feet.
Hence, statements,
'The car makes a complete revolution in 5 s.'
'The maximum height of the Ferris wheel is 64 ft.'
'The radius of the Ferris wheel is 30 ft.'
are true.
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Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
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9. Find the area of the right triangle with
height of 3 2/3 feet and a base of 2 feet.
Step-by-step explanation:
Area= 1/2 * b*h
h= 3 2/3 = 11/3
Area = 1/2*2*11/3 = 11/3 square feet or 3 3/2 square feet
!!PLEASE HELPPP!!
Is the first question right?
And
I need help with the second question :(
a. The total amount Christian paid for FICA taxes (Social Security and Medicare) is $7,607.70
b. The main difference between how Social Security and Medicare are paid is in their funding sources.
Employers and workers both contribute a portion of an employee's income to Social Security through payroll taxes.
Medicare, on the other hand, is paid for by a combination of beneficiary premiums, payroll taxes, and general government income.
Furthermore, Medicare benefits are determined by age and eligibility requirements, whereas Social Security benefits are determined by a person's contributions and employment experience.
What is social security?Social Security is the commonly used term for the federal Old-Age, Survivors, and Disability Insurance program and is administered by the Social Security Administration.
The amount Christian paid for Social Security taxes is therefore:
$87,000 x 0.071 = $6,177
To calculate the amount Christian paid for Medicare taxes, we simply multiply his total income by the Medicare tax rate:
$98,600 x 0.0145 = $1,430.70
Therefore, the total amount Christian paid for FICA taxes (Social Security and Medicare) is:
$6,177 + $1,430.70 = $7,607.70
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The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?
Answer:
3 feet by 7 feet
Step-by-step explanation:
perimeter = 20 feet
area = 21 feet²
If the desk is a rectangle:
perimeter = 2l + 2w = 2 (l+w) = 20
2 (l+w) = 20 , divide both sides by 2
l+w = 10
area = l · w = 21
What numbers we know that have sum as 10 and their product as 21?
l + w = 10
l · w = 21
factors of 21 are 1,3,7
3+7 = 10
3 ·7 = 21
The dimensions of the desk could be 3 feet by 7 feet.
Which triangles could not be similar to triangle ABC ?
Right triangle ABC where angle B is the right angle. side AB is 4 cm. side BC is 3 cm. Side AC is 5 cm.
Select each correct answer.
a.) Right triangle D E F with right angle at E. D E is 44 centimeters. E F is 33 centimeters. D F is 55 centimeters.
b.) Right triangle J K L with right angle at K. J K is 21 centimeters. J K is 29 centimeters. K L is 20 centimeters.
c.) Right triangle G H I with right angle at H. G H is 24 centimeters. G I is 25 centimeters. H I is 7 centimeters.
d.) Right triangle G H I with right angle at H. G H is 24 centimeters. G I is 25 centimeters. H I is 7 centimeters.
Right triangle M N O with right angle at N. M N is 10 centimeters. N O is 7.4 centimeters. M O is 12.5 centimeters.
Answer:
B & C &D&E
Step-by-step explanation:
The only triangle similar to ΔABC in the given options is ΔDEF. The correct option is (A).
How to find the similarity between two triangles?The similarity can be found in many ways such as by SAS, ASA, AAA and SSS rules. Two similar triangles have same shape but not the same size.
The given triangle ΔABC is shown in the diagram as below,
The given options are examined one by one as follows,
(a) In this option the ratio between the corresponding sides of ΔABC and ΔDEF can be found as,
AB/DE = 4/44 = 1/11
BC/EF = 3/33 = 1/11
AC/DF = 5/55 = 1/11
Since, all the corresponding ratios are equal. ΔABC and ΔDEF are similar.
(a) In this option the ratio between the corresponding sides of ΔABC and ΔDEF can be found as,
AB/DE = 4/44 = 1/11
BC/EF = 3/33 = 1/11
AC/DF = 5/55 = 1/11
Since, all the corresponding ratios are equal. ΔABC and ΔDEF are similar.
(b) In this option the ratio between the corresponding sides of ΔABC and ΔJKL can be found as,
AB/JK = 4/21
BC/KL = 3/20
AC/JL = 5/29
Since, all the corresponding ratios are not equal. ΔABC and ΔJKL are not similar.
(c) In this option the ratio between the corresponding sides of ΔABC and ΔGHI can be found as,
AB/GH = 4/24 = 1/6
BC/HI = 3/7
AC/GI = 5/25 = 1/5
Since, all the corresponding ratios are not equal. ΔABC and ΔGHI are not similar.
(D) In this option the ratio between the corresponding sides of ΔABC and Δmno can be found as,
AB/MN = 4/10 = 2/5
BC/NO = 3/7.4
AC/MO = 5/12.5 = 2/5
Since, all the corresponding ratios are not equal. ΔABC and ΔMNOare not similar.
Hence, the triangle similar to ΔABC is ΔDEF.
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Find the geometric mean of 3 and 48.
Answer:
12
Step-by-step explanation:
ion even know how to do this tbh
Perimeter of square
4×side4(12)48mPerimeter of two sides of triangle:-
10+1020mPerimeter of circle excluding diameter line
πd-d(π-1)d(3.14-1)122.14(12)25.7mTotal perimeter
48+20+25.768+25.793.7mhow do u find midpoint
Answer:
The midpoint is the middle of two segments (which can be congruent)
Step-by-step explanation:
To find the midpoint you have to add up the two values and divide by 2!
what is the probability of a goal given that wayne took the shot?
The probability of a goal given that Wayne took the shot would depend on various factors,
To determine the probability of a goal given that Wayne took the shot, we would need to know the success rate of Wayne's shots.
If we have that information, we can use it to calculate the conditional probability of a goal.
For example,
If we know that Wayne has a 20% success rate on his shots, then the probability of a goal given that Wayne took the shot would be 0.2 (or 20%).
The probability of a goal given that Wayne took the shot would depend on various factors, such as Wayne's skill level, the position he took the shot from, the opposition team's defense, the weather conditions, and many other factors.
If you have more information about these factors or any other relevant details, please provide them, and I will try my best to help you with the calculation.
However,
If we don't have any information on Wayne's success rate, it would be difficult to calculate the probability accurately.
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(Using trig to find an angle)
Solve for x. Round to the nearest tenth of a degree, if necessary.
Step-by-step explanation:
For a RIGHT triangle Sin = opposite LEG / Hypotenuse
sin x = 45/ 83
x = arcsin (45/83) = use calculator = 32.8 degrees