Answer:
-6x
check the attachment i provided
Step-by-step explanation:
\(-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x\)
Answer:
-6x
Step-by-step explanation:
All you have to do is subtract the constants, because the variable is going to be there always
the number of assists per match for the setter on your school's volleyball team has a mean of 55 and a standard deviation of 8. how many standard deviations from the mean is an outing with 74 assists?
2.375 number of standard deviation from mean outing with 74 assists.
Data dispersion in regard to the mean is quantified by a standard deviation, or "σ"
By figuring out how far off from the mean each data point is, the standard deviation may be determined as the square root of variance.
The deviation within the data set is bigger when the data points are more away from the mean.
According to the question,
Mean of the number of assists per match is 55
Standard deviation of the same is 8
Let x be the number of standard deviation from mean outing with 74 assists
=> 55 + 8x = 74
Solving for x
=> 8x = 74 - 55
=> 8x = 19
=> x = 19 / 8
=> x = 2.375
Hence, 2.375 number of standard deviation from mean outing with 74 assists.
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a variable that cannot be measured in numerical terms is called a . a. qualitative variable b. non-measurable random variable c. dependent variable d. constant variable
A qualitative variable is a variable that cannot be measured in numerical terms, but rather, is characterized by qualities or attributes that are not numerical. Option A is the correct answer.
Qualitative variables are also called categorical variables because they represent categories or groups. Examples of qualitative variables include gender, nationality, religion, and occupation.
In contrast, quantitative variables can be measured in numerical terms, such as age, height, weight, income, and test scores. Understanding the nature and characteristics of different types of variables is important for selecting appropriate statistical methods and techniques to analyze and interpret data.
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I just need help on this please
Answer:
the slope is mx+b so 3
Step-by-step explanation:
mx+b
Question 6 of 15 If there are 36 successful outcomes in a sample with a size of 80, what is the sample proportion? O A. 0.45 OB. 0.55 O c.0.22 D. 0.36 SUBMIT
The sample percentage (p) represents the proportion of people in a sample who have a particular attribute or trait. The correct option is A.
What is the definition of a sample proportion?The sample percentage (p) represents the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or objects) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.
Given there are 36 successful outcomes in a sample with a size of 80. Therefore, the sample proportion is,
Sample proportion = 36/80 = 0.45
Hence, the correct option is A.
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what is another term used for discovery sampling? a. stop-and-go b. statistical random sampling c. probability sampling d. investigative sampling
The term used for discovery sampling is statistical random sampling.
What is statistical random sampling?
A simple random sample is a subset of individuals chosen at random, all with the same probability, from a larger set of individuals. It is a method of choosing a sample at random.
Here,
We have to find another term for discovery sampling.
We concluded that another term that is used for discovery sampling is statistical random sampling.
Hence, the term used for discovery sampling is statistical random sampling.
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How would you write the expression three times a number plus 5?
Answer: 3x + 5
Step-by-step explanation:
First, we need to understand that x is a variable, an unknown number. Think back to how you would do multiplication with numbers that you know. Here are some examples:
If you want to multiply 2 by 3, you would write 3 × 2.
If you want to multiply 3 by 256, you would write 3 × 256.
If you want to multiply 3 by x, you would write 3 × x.
If you want, you can simplify 3 × x to 3x. 3x just means that you are multiplying three by x.
Now we have finished the first step. 3x means three times a number. Now, what about the plus 5?
For the next part, we need to add five to this expression. Think back to how you know how to do addition.
If you want to add 5 to 9, you would write 9 + 5.
If you want to add 5 to 24, you would write 24 + 5.
If you want to add 5 to x, you would write x + 5
If you want to add 5 to 3x, you would write 3x + 5.
In conclusion, 3x + 5 means three times a number (x) plus five. If this doesn't make sense yet, don't worry. You have got this. Don't give up. For more information, search "How to write an expression."
y is directly proportional to the square of x. find the percentage increase when x is increased by 5%
The change in percentage of y when x increases by 5% will be 25%
What is direct proportion?Direct proportion is a mathematical comparison between two numbers where the ratio of the two numbers is equal to a constant value.
Given that, y is directly proportional to the square of x. we need to find the percentage increase when x is increased by 5%
Since, Y varies directly as the square of x.
Therefore, the general equation to show the direct variation :-
Y = kx²
Let the value of x be 25
25 will be x as 100%. therefore when x is 100% the value of y will be
Y = 25²k
= 625k
Increasing the value of x by 5%,
(105x25)/100 = 26.25
Therefore, 105% of 25 = 26.25.
Applying the variation equation, we obtain
Y = (26.25)²k
= 689.0625k
We will find the percentage change in y caused by an increase of x by 5%
(689.0625x100)/625 = 110.25%
Therefore, to find the percentage change in y when x increases by 5% will be,
(110.25-100)% =10.25%
Hence, the change in percentage of y when x increases by 5% will be 25%
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Names of TV shows taped in New York are an example of which type of data? Answer a. Qualitative b. Statistic c. Quantitative d. Parameter
Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.
It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.
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For the solved question below, I am still unclear on how the PV Factor is figured out. What is the PV Factor formula?
The PV factor formula is given below: The formula for PV factor is: PV Factor = [1 - (1 + r)⁻ⁿ] / r
where r = discount rate, and n = number of periods.
PV factor can be used to calculate the present value of an annuity. If the amount of each payment and the number of periods are known, the present value of the annuity can be calculated using the following formula:
Present value of annuity = Payment × PV factor.
For example, suppose that you have an annuity that pays $1,000 per year for 5 years.
The discount rate is 8%. We can calculate the PV factor using the formula:
PV factor = [1 - (1 + r)⁻ⁿ] / r= [1 - (1 + 0.08)⁻⁵] / 0.08= 3.9936
The present value of the annuity can be calculated by multiplying the payment by the PV factor:
Present value of annuity = Payment × PV factor= $1,000 × 3.9936= $3,993.6
Therefore, the present value of the annuity is $3,993.6.
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a spinner has eight equally sized regions labeled from 1 to 8. we spin the spinner twice. what is the probability that the first spin is no more than 6 and the second spin is no less than 7? write your answer as a simplified fraction.
Probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
probability that first spin is grey = 6/8probability that second spin is blue = 2/8probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16learn more about probability click here:
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what is the output value for the following function if the input value is 1?
y=3x + 1
Answer:
The output value is 4
Step-by-step explanation:
The output value is the y value, so y=3(1)+1
y=3+1
y=4
Can someone please explain how to get the answer i've looked it up several times and i'm still stuck. I'm in algebra 2 with trig and doing my summer math packet: "The length of a rectangle is two feet less than four times the width. Find the length and width if the area is 38.2 square feet. let w= width of the rectangle" Btw websites say w is 19.1 but my answer key says its 3.35. Thanks!
Answer:
Step-by-step explanation:
Let L be the length of this rectangle
The length of a rectangle is 2 feet less than four times the width
● L+2 = 4w
The area of this rectangle is 38.2 ft^2
● L*w = 38.2
The system of equations is
L+2 = 4w => L-4w =2
L*w = 38.2 => L= 38.2/w
Replace L by 38.2/w in L-4w =2
● L-4w = 2
● (38.2/w)-4w = 2
●(38,2-4w^2)/w = 2
● 38.2-4w^2 = 2w
● 38.2-4w^2-2w = 0
● -4w^2-2w+38.2 =0
Multiply by -1 to reduce the - signs
● 4w^2+2w-38.2 =0
This is a quadratic equation so we will use the discriminant
□□□□□□□□□□□□□□□□□
The discriminant is b^2-4ac
● b= 2 (2w)
● a= 4 (4w^2)
● c= -38.2 (the constant term)
b^2-4ac =2^2-4*4*(-38.2) = 615.2 > 0
The discriminant is positive so we have two solutions w and w' :
●●●●●●●●●●●●●●●●●●●●●●●●
w= (-2-24.8)/8 = -3.35
24.8 is the root square of 615.2(the discriminant)
●w is negative
● a distance is always positive so this value isn't a solution
w'= (-2+24.8)/8 =2.85 > 0
So this value is a solution for our equation
■■■■■■■■■■■■■■■■■■■■■■■■■■
w= 2.85 feet
Answer:
w=3.35
Step-by-step explanation:
The length of a rectangle is two feet less than four times the width:
length=4W-2
A=L*W
A=(4W-2)(W)
38.2=4W^2-2W
4W^2-2W-38.2=0 complete the square to find the solution add term(b/2)²
4W²-2W+1/4=38.2+1/4
4(W²-W/2+1/16)=38.45
4(w-1/4)^2=38.45
(w-1/4)²=38.45/4=9.6125
w-1/4=+ or -√9.6125 ( since it is width it has to be positive
w=√9.6125+1/4 = 3.35
Shapes A and B are similar. What is the length of side w? Give your answer as an integer or as a fraction in its simplest form. A 72 cm W B 9 cm 6 cm Not drawn accurately
Answer:
\(\huge\boxed{\sf w = 48}\)
Step-by-step explanation:
Statement:If two figures are similar, the measures of their corresponding sides are proportional.Solution:According to the statement,
\(\displaystyle \frac{w}{6} = \frac{72}{9} \\\\\frac{w}{6} = 8\\\\Multiply \ both \ sides \ by \ 6\\\\w = 8 \times 6\\\\w = 48\\\\\rule[225]{225}{2}\)
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It costs a player £1.40 for a turn.A player can win £6 or £3 as in the diagrams:If 216 people are to play, how much profit can Ayo expect to make?
Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.
The expected value is given by the sum of each outcome multiplied by it's respective probability.
In this problem:
The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is \(\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}\).The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is \(\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}\)In the other cases, Ayo wins £1.40, with \(1 - \frac{18}{72} = \frac{54}{72}\) probability.Hence, his expected profit for a single game is:
\(E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583\)
For 216 games, the expected value is:
\(E = 216(0.2583) = 55.8\)
Ayo can be expected to make a profit of £55.8.
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A right pyramid with a square base has a base edge length of 24 feet and a slant height of 20 feet. What is the height of the pyramid? 4 feet 8 feet 12 feet 16 feet.
The height of the pyramid is 16 feet.
What is Pythagoras Theorem?
Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
We can use the Pythagorean theorem to find the height of the pyramid.
The slant height of the pyramid is the hypotenuse of a right triangle whose legs are the height of the pyramid and half the length of the base of the pyramid. Since the base is a square, half the length of the base is 12 feet.
Using the Pythagorean theorem:
height² + 12² = 20²
height² = 20² - 12²
height² = 256
height = 16 feet
Therefore, the height of the pyramid is 16 feet.
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two pumps working together can empty a swimming pool in 4 hours. working alone, pump a can empty the pool in 1 hour less than pump b could when working alone. how long would it take pump a to empty the pool by itself?
Pump A will take 1 hour and 30 minutes to empty the pool by itself. This is a work time relationship based question.
In the question, we have given the following information:
• Pump A and B empty the pool together in 4 hours.
• The time taken by pump A to empty the pool is
1 hour less than the time taken by pump B for the same work.
So, from above, we conclude that
The rate at which both pumps empty the pool is 14 pool per hour.
Let pump B empty the pool by itself in x hours, then pump A will take (x - 1) hours for the same work.
Time taken by pumps when working together is (2 x 1) hours. But we have given that value as 4 hours.
Then, 2x-1 = 4; x = 5/2 hours.
Thus, pump B will empty the pool in 2 hours, 30 minutes. By using the relation between their times, we conclude that pump A will take 1 hour and 30 minutes to empty the pool by itself.
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Which point is on the graph of f(x) = 3.4x
Answer:
D(1,12)
Step-by-step explanation:
See attached graph.
find the direction of the force on side 1, that runs from (0,l) to (l,l)
The direction of the force on side 1 is 45° downwards from the positive x-axis. The direction of the force is the opposite of the angle obtained in step 3, which is 45° downwards from the positive x-axis.
1. Draw a right triangle, with the two points of the side as the vertices.
2. Using the Pythagorean theorem, calculate the length of the side.
3. Use the inverse tangent function to calculate the angle between the two points.
4. The direction of the force is the opposite of the angle obtained in step 3, which is 45° downwards from the positive x-axis.
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A restaurant employs 16 people, 8 of whom are women. If five employees are chosen randomly to receive tickets to a concert, what is the probability (to two decimal places) that three of them will be women
The probability that three out of the five employees chosen will be women is approximately 0.36
The probability of three out of five randomly chosen employees being women, we can use the concept of combinations.
The total number of ways to choose five employees out of the 16 is given by the combination formula:
C(16, 5) = 16! / (5! × (16-5)!)
= 4368
Now, we need to calculate the number of ways to choose three women from the 8 available, multiplied by the number of ways to choose two men from the remaining 8 employees:
C(8, 3) × C(8, 2) = (8! / (3! × (8-3)!) × (8! / (2! × (8-2)!))
= 56 × 28
= 1568
Therefore, the probability of choosing three women and two men is:
P(3 women and 2 men) = 1568 / 4368 ≈ 0.359
So, the probability that three out of the five employees chosen will be women is approximately 0.36.
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25 points:)
question 2-3
Answer:
2) r=73
Step-by-step explanation:
all 4 sided shapes add up to 360.
so 90+90=180
180+107=287
360-287=73
so r=73
Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
39.2
39.0
35.2
39.1
44.0
Answer:
The answer is B. 39.0
Step-by-step explanation:
To find the average we add all the numbers then divide it by the total amount of numbers
= 23 + 33 + 33 + 27 +25 + 68 + 27 + 44 + 72/9
= 352/9
= 39.111111111
Round it of to the nearest tenth
= 39.0
Calculate the length of AB in each of the following right-angled triangles:
Answer:
AB= 12 AB=18
Step-by-step explanation:
sin(30)=AB/AC
=> AB=Sin(30)*AC
sin(30)=0.5
=>AB=0.5*24=15
sin(30)=AB/AC
=> AB=Sin(30)*AC
sin(30)=0.5
=>AB=0.5*36=18
Answer:
part a: AB = 12cm
part b: AB = 18cm
Step-by-step explanation:
sin(angle)=OPP/HYP
sine of an angle is a ratio of two sides of a right triangle. For sine, the ratio is the opposite side over the hypotenuse. In part a the marked angle is 30° and AB is the opposite side. The hypotenuse is given, 24cm.
So the sin 30°
= opp/hyp
= AB / 24
also given is the fact that sin30°=.5
Substitute that into our equation also.
sin30° = AB/24
.5 = AB/24
multiply both sides by 24.
.5×24 = AB
12 = AB
AB is 12 cm.
Part b is an identical calculation except the hypotenuse is 36cm.
sin30° = AB/36
.5 = AB/36
.5×36 = AB
18 = AB
AB is 18cm.
They may be trying to lead you to discover some shortcut patterns in a 30°-60°-90° triangle. That is that the short leg is HALF the hypotenuse OR the hypotenuse is double the short leg.
Factor the linear expression 50x - 30 using the greatest common factor of
the terms
A. 5(10x+6)
B. 50(x-3)
C. 10(5x+3)
D. 10(5x - 3)
Answer:
The answer is D.
Step-by-step explanation:
hope this helps
3c + 2 = 3c + 2
please help me
Answer:
3c+2=2+3c
Step-by-step explanation:
7. Given a series k=1 a 1 2k (a)Develop a formula for Sn (the sum of the first n terms) (b)Prove the formula is true by induction (c)Prove the series converge to 1
The sum of the first n terms, Sn of the series is given by; Sn = (2n - 1)a1. The formula is true for all positive integers n. The series diverges and doesn't converge to 1.
(a) Formula for Sn (the sum of the first n terms):The sum of the first n terms, Sn of the series is given by; Sn = (2n - 1)a1
(b) Proving the formula is true by induction:
It can be observed that the formula is true for n = 1. For n = 1, the sum is given by:S1 = a1 = (2.1 - 1)a1 = a1
Let us assume the formula is true for n = k; that is, Sk = (2k - 1)a1
Now we need to prove that the formula is also true for n = k + 1. Therefore, S(k+1) = S(k) + a2k+1
Substituting for S(k) in the above equation, we get; S(k+1) = (2k - 1)a1 + a2k+1
Simplifying the above equation, we have; S(k+1) = (2k + 1)a1
Since the formula is true for n = 1, and it is also true for n = k + 1, then it is true for all positive integers n.
(c) Proving the series converge to 1:
We know that for a series to converge, the limit of the terms of the sequence should approach zero. Thus, let a_n = a1(2n - 1).Then, lim_{n->∞} a_n = lim_{n->∞} a1(2n - 1) = ∞
Therefore, the series diverges and doesn't converge to 1.
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The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K), and the familiarity with the jokes (denoted by F) using this formula:
Answer:
L = f(J, K, F)
L = (JK²)/F
So, as the formula appears, the appropriate units will be option A.
Unit for number of laughs = (jokes*knowledge²) / familiarity
Just like the formula suggests.
Step-by-step explanation:
Complete Question
The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K) and the familiarity with the jokes (denoted by F) using this formula: L = (JK²)/F
Select an appropriate unit for number of laughs:
A) (jokes*knowledge²) / familiarity
B) familiarity / (jokes*knowledge²)
C) familiarity² / (jokes*knowledge)
D) (jokes*knowledge) / familiarity²
Solution
L = f(J, K, F)
where
L = number of laughs
J = number of jokes
K = amount of knowledge about the joke material
F = familiarity with the jokes
Analysing how the dependent variable depends on each of the independent variables.
- Number of jokes
The number of laughs will increase with the number of jokes and vice versa. It can be stated that there is a direct variation between the number of laughs and number of jokes.
- Amount of knowledge about the joke material
The more one understands the joke material, the funnier the joke. In fact, the joke can be termed funnier when one understands the joke material deeply. The direct variation of number of laughs to knowledge about joke material isn't just enough, the number of laughs varying directly as the square of the knowledge of joke material seems more fitting.
- Familiarity with the joke
The more familiar one is with a joke, the less funny it is. Hence, it's an inverse relationship between number of laughs and the familiarity with the joke.
L = (JK²)/F
So, as the formula appears, the appropriate units will be
(jokes*knowledge²) / familiarity
Just like the formula suggests.
Hope this Helps!!!
The question is incomplete. Here is the complete question.
The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K) and the familiarity with the jokes (denoted by F) using this formula: \(L = \frac{J.K^{2} }{F}\).
Select an appropriate unit for number of laughs:
(jokes*knowledge²) / familiarity
familiarity / (jokes*knowledge²)
familiarity² / (jokes*knowledge)
(jokes*knowledge) / familiarity²
Answer: Unit for number of laughs is (jokes*knowledge²) / familiarity
Step-by-step explanation: Number of laughs (L) is related to jokes (J), knowledge (K) and familiarity (F) according to the proportion: \(L = \frac{J.K^{2} }{F}\)
The unit for L will be: L = (jokes.knowledge²).familiarity⁻¹
or
L = \(\frac{jokes*knowledge^{2} }{familiarity}\)
Solve: startfraction 2 over 3 endfraction minus 4 x plus startfraction 7 over 2 endfraction equals negative 9 x plus startfraction 5 over 6. endfraction. â€"" 4x = â€""9x x = x equals negative startfraction 3 over 2 endfraction. x = x equals negative startfraction 2 over 3 endfraction. x = x equals startfraction 2 over 3 endfraction. x = x equals startfraction 3 over 2 endfraction.
The solution to the equation is x = -2/3.
To solve the equation:
(2/3) - 4x + (7/2) = -9x + (5/6)
We can simplify it by combining like terms:
-4x + (7/2) = -9x + (5/6) - (2/3)
To eliminate the fractions, we can multiply every term by 6 to get rid of the denominators:
6 * (-4x) + 6 * (7/2) = 6 * (-9x) + 6 * (5/6) - 6 * (2/3)
Simplifying further:
-24x + 21 = -54x + 5 - 4
Combining like terms:
-24x + 21 = -54x + 1
To isolate the variable x, we can bring all terms containing x to one side and the constant terms to the other side:
-24x + 54x = 1 - 21
30x = -20
Finally, we solve for x by dividing both sides of the equation by 30:
x = -20/30
Simplifying the fraction:
x = -2/3
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help with my geometry please
Answer:
x = 11
z = 86
Step-by-step explanation:
8x + 6 and 10x-16 are vertical angles
Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.
To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:
8x + 6 - 6 = 10x - 16 - 6
8x = 10x - 22
Now we can subtract 8x from both sides of the equation:
8x - 8x = 10x - 22 - 8x
0 = 2x - 22
To solve for x, we can add 22 to both sides of the equation:
0 + 22 = 2x - 22 + 22
22 = 2x
Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2
x = 11
Therefore, the solution to the equation is x = 11.
Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)
Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.
First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94
180 - 94 = z
z = 86
A group of students was randomly divided into two subgroups. One subgroup
did a fitness challenge in the morning, and the other did the same challenge
in the afternoon. This table shows the results.
Morning
Afternoon
Total
Pass Fail Total
401050
23 27 5 0
63 37 100
50
Compare the probability that a student will pass the challenge in the morning
with the probability that a student will pass the test in the afternoon. Draw a
conclusion based on your results.
The pass rate in the afternoon subgroup is greater than 1, we cannot draw a reliable conclusion without further investigation or clarification of the data.
To compare the probability that a student will pass the challenge in the morning with the probability that a student will pass the challenge in the afternoon, we need to calculate the proportion of students who passed in each subgroup.
The proportion of students who passed the challenge in the morning subgroup is:
Pass rate in the morning subgroup = Number of students who passed in the morning subgroup / Total number of students in the morning subgroup
Pass rate in the morning subgroup = 40 / 60
Pass rate in the morning subgroup = 0.67
The proportion of students who passed the challenge in the afternoon subgroup is:
Pass rate in the afternoon subgroup = Number of students who passed in the afternoon subgroup / Total number of students in the afternoon subgroup
Pass rate in the afternoon subgroup = 50 / 40
Pass rate in the afternoon subgroup = 1.25
that the pass rate in the afternoon subgroup is greater than 1, which is not possible as probabilities must be between 0 and 1. This implies that there might be a data error.
Assuming the data is correct, we can conclude that the probability of passing the challenge in the afternoon subgroup is higher than the probability of passing the challenge in the morning subgroup. However, since the pass rate in the afternoon subgroup is greater than 1, we cannot draw a reliable conclusion without further investigation or clarification of the data.
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Jada also estimates the perimeter of her garden by rounding the length and width to the nearest tenth. Which equation shows this estimate?
A. 12.6 + 3.2 + 12.6 + 3.2 = 31.6 meters
B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters
C. 12.5 + 3.5 + 12.5 + 3.5 = 32 meters
D. 12.7 + 3.3 + 12.7 + 3.3 = 32 meters
Answer:
B
Step-by-step explanation:
According to Albert Einstein (one of the smartest person) and Jeff Bezos (the richest person on earth)...the answer is B and will always be B ;0.