Answer:
133+9x+2=180 (sum of interior angle on the same side of transversal is 180°)
9x=180-135
x=5
g/16 = 16 step by step
Answer:
Below
Step-by-step explanation:
There is only ONE step
g/16 = 16 multiply both sides of the equation by 16
g = 256 Done.
When examining group difference where the direction of the difference is specified, which of the following is used? Select one: a. two-tailed test b. one-tailed test C. directional hypothesis o d. critical value
When examining group differences with a specified direction, a one-tailed test is used i.e., option b is correct.
In statistical hypothesis testing, researchers often have a specific direction in mind when comparing two groups.
For example, they may hypothesize that Group A performs better than Group B or that Group A has a higher mean than Group B. In such cases, a one-tailed test is appropriate.
A one-tailed test is designed to detect differences in a specific direction. It focuses on evaluating whether the observed data significantly deviates from the null hypothesis in the specified direction.
The null hypothesis assumes no difference or no relationship between the groups being compared.
In a one-tailed test, the critical region is defined on only one side of the distribution, corresponding to the specified direction of the difference.
The critical value, which determines whether the observed difference is statistically significant, is chosen based on the desired level of significance (e.g., alpha = 0.05).
On the other hand, a two-tailed test is used when the direction of the difference is not specified, and the researchers are interested in determining whether there is a significant difference between the groups in either direction.
In this case, the critical region is divided equally between the two tails of the distribution.
A directional hypothesis (option C) is a statement that specifies the expected direction of the difference, but it is not the statistical test itself. The critical value (option D) is the value used to determine the cutoff for rejecting or accepting the null hypothesis.
Therefore, when examining group differences with a specified direction, a one-tailed test is used to assess the statistical significance of the observed difference in that particular direction.
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can any one help me i really need it
Answer:
94
Step-by-step explanation:
all angles add up to 180
56+30 = 86
180-86=94
The model of a roof is in the shape of a square pyramid, as shown. If the
surface area of the model is 64 cm², what is the slant height?
The lateral surface area of the pyramid in square feet is 1020 feet².
What is lateral surface area?All of an object's sides, excluding its base and top, are considered its lateral surface.
The size of the lateral surface is referred to as its area.
This must be distinguished from the total surface area, which consists of the base and top areas as well as the lateral surface area.
Given: l = 17 feet
The length of each side of the square is 30 feet.
Lateral Surface Area of the pyramid = 2*l*a
= 2 × 17 × 30
= 1020 feet²
Thus, the lateral surface area of the pyramid in square feet is 1020 feet².
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The complete question:
The roof of a house is in the shape of a square pyramid. The slant height of the pyramid is 17 feet, and the length of each side of the square is 30 feet. What is the lateral surface area of the pyramid in square feet?
Which of the three side lengths can NOT form a triangle: 2 ft, 3 ft, 8 ft 4 ft, 4 ft, 1, ft 2.5 in, 2.5 in, 2.5 in 4 m, 3 m, 6 m
The side lengths that cannot form a triangle are: 2 ft, 3 ft, 8 ft.
How do you graph linear inequalities 2x 3y 12?
Given linear inequalities is solved using graph paper line will pass through (6,0) and (-0,4) Area where required linear inequalities is satisfied is towards origin.
let's first try to understand what is linear inequalities?
A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in a linear inequality. It displays non-equal data in graph style.
the linear inequality's graph Since the inequality is severe and the shaded region points in the direction of the origin, 2 x-3 y < 12 is a straight line passing through the points (6, 0) and (0, -4), with the line being dot-dotted.
x - coordinate of the given line 2x - 3y =12
y =0 2x = 12 x = 6 (6,0)
y - coordinate of the given line -3y = 12 y = -4 (0,-4)
line passes through (6,0) and (0,-4).
Given Question is incomplete complete Question here:
How do you graph linear inequalities 2x - 3y< 12?
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By some estimates __________ of employee learning occurs via on the job training.
a. 60-70 percent
b. 20-30 percent
c. 40-50 percent
d. 80-90 percent
By some estimates 80-90 percent of employee learning occurs via on the job training.
What does on the job training mean?
This is the term that is used to refer to the training that people would receive based on the fact that it is preparing them to have the competent skills that are useful for a particular job. It is one of the ways that employers help to get their employees ready for the task at hand.
It has been reported from available data that on the job training is a great component of employee learning.
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Complete the definition of the piecewise defined function by identifying the domain of each piece. g (x) = startlayout enlarged left-brace first row x 4, negative 5 less-than-or-equal-to x less-than-or-equal-to negative 1 second row 2 minus x, negative 1 less-than x less-than-or-equal-to 5 endlayout a = b =
Since a domain is the range of the assigned value (x), the domain of this piecewise-defined function are:
a = 1.b = 3.What is a piecewise-defined function?A piecewise-defined function can be defined as a type of function that is defined by two (2) or more mathematical expressions over a specific domain such as:
\(f(x)=\left \{ {{-x}, \atop {(x-3)^2 - 1}} \right.\)
Based on the graph of the piecewise-defined function, we can deduce the following points;
When x < 1, we have:
f(x) = -x.
When 1 ≤ x < 3, we have:
f(x) = -1.
When x ≥ 3, we have:
f(x) = (x - 3)² - 1.
Since a domain is the range of the assigned value (x), we have:
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Solve this system of equations.
2x + 2y + 7z = -1
2x + y + 2z = 2
4x + 6y +z = 15
Answer:
x =1
y = 2
z = -1
Step-by-step explanation:
I Hope it helps. Please if you need any clarification, let me know .
A carnival costs $8. 50 for enter plus and additional $4. 50 per ticket for rides and food. Write and expression to find the total cost for a day at the carnival for x number of tickets
The total cost for x number of tickets is expressed as: C(x) = 4.5x + 8.5
How to solve Algebra Word problems?An algebraic word problem is defined as a problem that requires converting a sentence into an equation and solving that equation. Usually in real-life scenarios variables represent unknown quantities.
Now, the formula for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
We are given:
Base cost of carnival = $8.50
Cost of each additional ticket = $4.50
Thus, total cost for x number of tickets is expressed as:
C(x) = 4.5x + 8.5
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Given: x + 2 < -5. Choose the solution set.
Answer:
x < -7
Step-by-step explanation:
to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7
Answer:
x< −7
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
x+2-(-5)<0
Step by step solution :
STEP 1:
Solve Basic Inequality :
1.1 Subtract 7 from both sides
x < -7
Inequality Plot :
1.2 Inequality plot for
x + 7.000 < 0
A pair of wireless headphones costs $125. Your friend has $40 and plans to save $15 each
month.
a. Write an inequality to show how many months your friend will need to save in order to
purchase the headphones.
5. Solve and graph the inequality.
The friend has to save for 5 and 2/3 of a month to in order to make up the remaining 85 to get the 125 headphone.
What is meant inequality graph?An inequality that consists of two or more parts is called a compound inequality. Either "or" or "and" may be used in these components. A number between 5 and 10 could be used as x in an inequality, for instance, if it states that "x is larger than 5 and less than 10". Any time one of the two inequalities is true when the two inequalities are united by the word or, the compound inequality is solved. The two separate solutions have been combined to form the final answer. Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and."
Cost of the headphone 125.
What the friend have: 40.
What need to save: 125-40 = 85
Let x = amount to be saved per month
Months to save up the 85 is 15
The equation would be 15 x = 85
Therefore x = 85/15
Which is 5 2/3 months.
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6) Find b(10) in the sequence given by b(n) = -5 + 9(n-1).
b(10) =?
Answer:
76
Step-by-step explanation:
1. Replace n with 10. The equation will look like:
-5+9(10-1)
2. Remember PEMDAS! The first step in solving the equation is solving whatever is in the parenthesis:
-5+9(9)
3. The next step is exponents, but since there aren't exponents in the equation, we move to multiplication and division. The equation should now look like this:
-5+81
4. Now we move on to addition and subtraction; add the two numbers!
-5+81=76
There's your answer!! Hope this helped :)
Identify the slope and yintercept of the function y = 7x-3.
A. The slope is 7.
The y-intercept is (0,3).
B. The slope is 7.
The y-intercept is (0, -3).
C. The slope is 3.
The y-intercept is (0,7).
D. The slope is -3.
The y-intercept is (0,7).
Answer:
B
Step-by-step explanation:
The slope is 7.
The y-intercept is (0, -3).
Answer:
B
Step-by-step explanation:
ape x
The contrapositive of a conditional statement is formed by negating both terms and reversing the direction of inference. For example, if S is the statement "if I live in Boston then I live in Massachusetts", then the contrapositive of S is "if I don't live in Massachusetts, then I don't live in Boston". Any statement and its contrapositive are logically equivalent. Thus, if P→Q is TRUE, then the contrapositive ¬Q→¬P is TRUE. And if P→Q is FALSE, then ¬Q→¬P is FALSE. To prove the statement "if P, then Q", sometimes it is easier to prove the contrapositive statement "if not Q, then not P ". And that is what you will do in this question. Using Proof by Contrapositive, prove each of the following statements. (a) Let n be a positive integer. If n
2
+2n+5 is an even number, then n is odd. (b) If there are 15 students in Discrete Structures, then at least three students were born on the same day of the week. (c) Prove the Generalized Pigeonhole Principle: if nk+1 pigeons fly into n pigeonholes, then at least one pigeonhole contains at least k+1 pigeons.
By using proof by contrapositive, we have successfully proved each of the given statements.To prove each of the statements using proof by contrapositive, we will follow these steps:
(a) Let's start with the statement: "If \(n^2 + 2n + 5\) is an even number, then n is odd."
To prove the contrapositive, we negate both terms and reverse the direction of inference: "If n is even, then\(n^2 + 2n + 5\)is odd."
To prove the contrapositive statement, we assume that n is even. By definition, an even number can be expressed as 2k, where k is an integer.
Substituting n = 2k into the expression
\(n^2 + 2n + 5\), we get
\((2k)^2 + 2(2k) + 5 = 4k^2 + 4k + 5.\)
Now, let's determine if
\(4k^2 + 4k + 5\)
is odd. An odd number is not divisible by 2.
If we divide
\(4k^2 + 4k + 5\)
by 2, we get a remainder of 1. Therefore,
\(4k^2 + 4k + 5\) is odd.
Thus, the contrapositive statement "If n is even, then\(n^2 + 2n + 5\) is odd" is proven.
(b) The statement: "If there are 15 students in Discrete Structures, then at least three students were born on the same day of the week."
The contrapositive: "If there are fewer than three students born on the same day of the week, then there are fewer than 15 students in Discrete Structures."
To prove the contrapositive statement, we assume that there are fewer than three students born on the same day of the week. In other words, each day has either 0, 1, or 2 students.
If we sum the number of students for each day, the total will be less than 3*7 = 21.
Therefore, the contrapositive statement "If there are fewer than three students born on the same day of the week, then there are fewer than 15 students in Discrete Structures" is proven.
(c) The statement: "If nk+1 pigeons fly into n pigeonholes, then at least one pigeonhole contains at least k+1 pigeons."
The contrapositive: "If no pigeonhole contains at least k+1 pigeons, then nk+1 pigeons do not fly into n pigeonholes."
To prove the contrapositive statement, we assume that no pigeonhole contains at least k+1 pigeons.
If we have n pigeonholes and each pigeonhole contains at most k pigeons, the total number of pigeons will be n*k.
Since there are nk+1 pigeons in total, nk+1 > n*k, which means there must be at least one pigeonhole containing more than k pigeons.Therefore, the contrapositive statement "If no pigeonhole contains at least k+1 pigeons, then nk+1 pigeons do not fly into n pigeonholes" is proven.
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Marco's goal is to eat only 2000 calories each day. One day for breakfast he consumed 310 calories, for lunch he consumed 200 more calories then breakfast, and for dinner he consumed 800. Did he make his goal? Explain
Answer:
no
he consumed only 1620 calories
Step-by-step explanation:
WE HAVE TO FIND THE SUM OF THE TOTAL CALORY
CALORIES CONSUMED IN THE MORNING = 310
CALORIES CONSUMED IN THE AFTERNOON = 310 + 200 = 510
CALORIES CONSUMED IN THE NIGHT = 800
Sum = 1620
he didn't reach is goal because he consumed only 1620 calories which is less than 2000
why is algebra so hard
Solve for x. What type of angles
are they?
112ºxº
Answer:
x=68
Step-by-step explanation:
180-112=68
180=112+x
stright line is 180 degrees
The weights of apples sold in a Toronto supermarket are independently distributed with mean I and variance 02. Spencer draws a random sample of n apples from this supermarket, with their weights denoted as X1, X2,... Xn. Spencer uses the average weights of the first apple and the last apple as an estimator of ji. What is the sampling variance of Spencer's estimator?
The sampling variance of Spencer's estimator can be calculated using the formula for the variance of the sum or difference of two random variables.
In this case, Spencer's estimator is the average weight of the first and last apple, denoted as (X1 + Xn)/2.
The variance of the sum or difference of two independent random variables is the sum of their individual variances. Since the weights of the apples are independently distributed with mean µ and variance σ^2, the variance of each apple weight is σ^2.
To find the sampling variance of Spencer's estimator, we need to find the variance of (X1 + Xn)/2. Using the formula for variance, we can simplify the calculation as follows:
Var[(X1 + Xn)/2] = (1/4) * Var(X1 + Xn)
Since X1 and Xn are independent, the variance of their sum is the sum of their individual variances:
Var(X1 + Xn) = Var(X1) + Var(Xn) = 2σ^2
Plugging this back into the previous equation, we get:
Var[(X1 + Xn)/2] = (1/4) * 2σ^2 = σ^2/2
Therefore, the sampling variance of Spencer's estimator is σ^2/2.
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According to the passage, when compared to mental
athletes, the individuals in the control group in
Maguire’s second study
A) showed less brain activity overall.
B) demonstrated a wider range of cognitive ability.
C) exhibited different patterns of brain activity.
D) displayed noticeably smaller hippocampal
regions.
The correct option is (c). According to the passage, when compared to mental exhibited different patterns of brain activity.
According to the American Psychiatric Association, Exhibitionistic Disorder is a mental disorder that causes a person to expose his sexual organs—or genitals—to other people, usually people they've never met and are not expecting it. The exhibitionist derives sexual pleasure from the behaviour. When exhibitionists are arrested, treatment for their disorder usually begins. Psychotherapy, support groups, and antidepressants known as selective serotonin reuptake inhibitors are all part of it. Depression can be treated with a variety of medications, including: Serotonin reuptake inhibitors that are selective... read more (SSRIs).
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need help ace plsss plssssssssssss
A -22
b 4.67
c 8.5. d 31 e 53
Answer:
A. -22
hope this helps
have a good day :)
Step-by-step explanation:
Choose the correct algebraic expression for the following: the quotient of y and 7
Answer:
y ÷ 7
Step-by-step explanation:
Quotient is code for divide.
We don't want to subtract so the first option isn't correct
We don't want to add so the second one isn't correct
We don't want to multiply so the third one isn't correct
This leaves us with our last option which is correct.
Your friend was solving the equation shown and was confused by the result "-20 = -20." Explain what this result
means.
4ly - 5) - 2y = 6y - 20 - 4y
4y - 20 - 2y = 6y - 20 - 4y
2y - 20 = 2y - 20
-20 = -20
Pls help me!! I really would appreciate it!
Answer:
A would be the correct answer im sure of it
Step-by-step explanation:
Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane 5x + y + z = 2
What is Volume?
Quantity of the three-dimensional object
Volume is the quantity of the three-dimensional object.
To find the volume of the tetrahedron enclosed by the coordinate planes (x = 0, y = 0, z = 0) and the plane 5x + y + z = 2, we can set up a triple integral over the region corresponding to the tetrahedron.
The equation of the plane can be rewritten as z = 2 - 5x - y. The limits of integration for x, y, and z can be determined by the boundaries of the tetrahedron.
Since the tetrahedron is enclosed by the coordinate planes, we have the following bounds:
0 ≤ x ≤ ?
0 ≤ y ≤ ?
0 ≤ z ≤ ?
To determine the upper bounds for x, y, and z, we can find the intersection points of the plane with the coordinate axes.
Setting x = 0, we get:
z = 2 - y
Setting y = 0, we get:
z = 2 - 5x
Setting z = 0, we get:
5x + y = 2
From these equations, we can find the intersection points:
At x = 0, y = 2 and z = 2
At y = 0, z = 2 - 5x and x = 0
At z = 0, 5x + y = 2 and x = 0, y = 2
Therefore, the upper bounds for x, y, and z in the triple integral are:
0 ≤ x ≤ 2/5
0 ≤ y ≤ 2 - 5x
0 ≤ z ≤ 2 - 5x - y
The volume V of the tetrahedron can be found using the triple integral:
V = ∭R dV
V = ∭R dx dy dz
V = ∫[x=0 to 2/5] ∫[y=0 to 2 - 5x] ∫[z=0 to 2 - 5x - y] dz dy dx
Now, you can evaluate this triple integral to find the volume of the tetrahedron enclosed by the coordinate planes and the plane 5x + y + z = 2.
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the registrar knows that the true proportion of students at her school that have not declared a major is 0.08. maurice plans to take a simple random sample of 250 students and ask each if they have declared a major. let p with overparenthesis on top be the proportion of students in maurice's sample who have not declared a major. what is the approximate probability that maurice will obtain a p with hat on top less than .06? round your answer to three decimal places.
The approximate probability that Maurice will obtain a sample proportion less than 0.06 is 0.2119, rounded to three decimal places.
The population proportion is p = 0.08 since we are aware that the actual percentage of students who have not declared a major is 0.08. We are asked to estimate the likelihood that Maurice will acquire a sample fraction smaller than 0.06 from a simple random sampling of n = 250 students.
The sample proportion p' is a random variable with a mean equal to the population proportion p and standard deviation σ = √(p(1-p)/n). In this case, we have:
p = 0.08
n = 250
σ = √(0.08×(1-0.08)/250)
= 0.025
To find the probability that p' < 0.06, we can standardize the variable using the standard normal distribution:
z = (p' - p) / σ
z = (0.06 - 0.08) / 0.025
= -0.8
Using a standard normal distribution table or a calculator, we find that the probability of getting a z-score less than -0.8 is approximately 0.2119.
Therefore, the approximate probability that Maurice will obtain a sample proportion less than 0.06 is 0.2119, rounded to three decimal places.
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Which statement best describes f(x)=
\( - 2 \sqrt{x - 7 } + 1\)
A. 6 is in the domain of f(x) but not in the range of f(x).
B. 6 is not in the domain of f(x) but is in the range of f(x).
C. -6 is in the domain of f(x) and in the range of f(x).
D. 6 is neither in the domain of f(x) nor in the range of f(x).
Answer:
D
Step-by-step explanation:
the domain of this is x>=7
the range is x<=1
so 6 is in neither
Which equation can be used to find the surface area of the sphere? A sphere with a diameter of 16 inches.
Answer:
a
Step-by-step explanation:
i did it
Please help this is so hard!!
Answer:
x is corresponding with the angle that equals 130 so it equals 130 too
Step-by-step explanation:
Use the function below to find f(3) ........ F(x)=1/3•4^x
Answer:
\(21\frac{1}{3}\)
Step-by-step explanation:
F(x)=1/3•4^x
f(3) = 1/3•4^3 = 64 / 3 = \(21\frac{1}{3}\)
PLEASE HELP!!!
Erin is rolling a fair number cube. The probability of rolling an even number is
Answer:
equal to rolling an odd number
Step-by-step explanation:
fair number cube is your average 6 side die
even numbers = 2,4,6
odd numbers = 1,3,5
total sides=6
even number probability = 3/6
odd number probability = 3/6