The cutoff for a failing score is 51 and about 2.28% of the students failed the psychology exams.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Z score is given by the equation:
z = (raw score - mean) / standard deviation
Given mean of 61 and a standard deviation of 5.
The z score that corresponds to 2 or more standard deviations below the mean is -2. Hence:
-2 = (x - 61) / 5
x = 51
P(z < -2) = 0.0228
The cutoff for a failing score is 51 and about 2.28% of the students failed the psychology exams.
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Find the area of this triangle.
Round to the nearest tenth.
10 cm
55°
12 cm
[? ]cm²
Enter
Answer:
Area = 49.15
Step-by-step explanation:
area = 0.5 * side a * side b * sin(Angle)
area = 0.5 * 10 * 12 * sin(55)
area = 60 * 0.8192
49.15
PLEASE HELP! 40 POINTS
Answer:
C
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = z and h = w , then
A = [tex]\frac{1}{2}[/tex] zw
Answer:
C is the correct answer 100 percent sure
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2
The solution of the linear equations will be ( -2, 4).
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are:-
2x +3y = 8 and 3x+y= -2Solving the equations by elimination method:-
2x +3y = 8
3x+y= -2
Multiply the second equation by 3 and subtract from the first equation.
2x +3y = 8
-9x -3y = 6
----------------
-7x = 14
x = -2
Out of the value of x in any one equation, we will get the value of y.
3x+y= -2
3 ( -2) + y = -2
-6 + y = -2
y = 4
The graph of the equations is also attached with the answer below.
Therefore the solution of the linear equations will be ( -2, 4).
The complete question is given below:-
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.
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I can't figure this out
The equation of the function g(x) will be g(x) = - ln (x + 2).
What is a logarithm?Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
Let the equation of the function f will be
f(x) = ln x
If the function is multiplied with negative sign, then the function gets flipped about the x-axis.
And if we add 2 in the variable of the function, then the function gets shifted towards left.
Then the equation of the function g(x) will be
g(x) = - ln (x + 2)
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14. Find the value of X round the nearest degree 12 15
The measure of the angle x is 53.13 degrees after applying the sin ratio.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Applying sin ratio:
sinx = 12/15
sinx = 0.8
x = 53.13 degrees
Thus, the measure of the angle x is 53.13 degrees after applying the sin ratio.
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Translate the following from words to an algebraic expression or equation, denoting the unknown by n.
15% of the amount by which a number exceeds 10,000
The translation from words to an algebraic expression, denoting the unknown by n is 0.15(n + 10,000)
Algebraic expressionlet
unknown number = n
a number exceeds 10,000= n + 1000
15% of the amount by which a number exceeds 10,000= 15%(n + 10000)
= 15/100(n + 10,000)
= 0.15(n + 10,000)
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Select all the correct systems of equations.
Which systems of equations have no solution?
x + 4y = 23
-3x = 12y + 1
2x + 4y = 22
-x = 2y - 11
2x + y = 15
x = 15-2y
2x + y = 17
-4x = 2y-34
3y = 10-x
2x+6y=7
y = 13 - 2x
4x - y = -1
Answer:
with mark '√'
Step-by-step explanation:
all the details are in the attachment. Note, the black mark means 'much solutions', the blue one means 'one solution'.
Question 23 of 40
Which of the following is the correct definition of an angle?
A. A shape formed by two intersecting rays
B. A shape formed by the intersection of two lines
C. A shape formed by two intersecting lines or rays
D. A shape formed by two intersecting lines from a common point
How do you do 56 through 58? Thanks to anyone who awnsers!
Hello !
56)
[tex]5 {x}^{2} + 8x = - 1 \\ 5 {x}^{2} + 8x + 1 = 0[/tex]
[tex]\Delta = {b}^{2} - 4ac \\ = {8}^{2} - 4 \times 5 \times 1 \\ = 64 - 20 \\ = 44[/tex]
The value of the discriminant is 44.
57) ∆>0 : there are two solutions.
58)
[tex]x_1 = \frac{ - b + \sqrt{\Delta} }{2a} \\ = \frac{ - 8 + \sqrt{44} }{2 \times 5} \\ = \frac{ \sqrt{11} - 4 }{5} [/tex]
[tex] x_2 = \frac{ - b - \sqrt{\Delta} }{2a} \\ = \frac{ - 8 - \sqrt{44} }{2 \times 5} \\ = \frac{ - \sqrt{11} - 4 }{5} [/tex]
Have a nice day
56. 44
57. 2
58. Image attached.
First, let's simplify some things. Let's make this a quadratic equation.
Moving the -1 (by adding 1 to both sides) gives us 5x^2 + 8x + 1 = 0. Note that this is the standard form of a quadratic, which is ax^2 + bx + c = 0.
Now, the discriminant. The discriminant is helpful because it tells us if we have 2 real solutions, 1 real solution, or if this equation is imaginary and thus impossible to solve using elementary techniques. If the discriminant is greater (>) than 0, then it has 2 solutions. If the discriminant equals (=) 0, it has 1 solution. If the discriminant is less than (<) 0, then it is imaginary.
The discriminant of a quadratic equation is defined as b^2 - 4ac (from the quadratic formula.) We just plug in b, a and c. b will be 8, a will be 5, and c will be 1. Now we just solve. (8)^2 - 4 * 5 * 1 = 64 - 20 = 44. Since 44 is greater than 0, we have 2 solutions for this. 44 is the discriminant. (Answer to 56.) We also have 2 solutions (answer to 57.)
Now, I'll solve the quadratic equation using the quadratic formula. I'll attach my work in an image (answer to 58.)
Hope this helped!
The population f(x), in millions, of State A of a country after x years is represented by the function shown below:
f(x) = 4(1.08)x
The graph shows the population g(x), in millions, of State B of the country after x years:
graph of exponential function g of x that curves up from left to right and goes through points 0 comma 2 and 9 comma 4
Which conclusion is correct about the populations of State A and State B?
Option 1 is correct. The correct solution about these functions is that The original population of State A was double of the original population of State B.
How to solve for the solutionThe function in the question is given as
For A:
[tex]F(x) = 4*(1.08)^x[/tex]
For B
[tex]g(x) = 2*(1.08)^x[/tex]
The exponential growth equation that is used to solve this is
[tex]h(x) = A(r)^x[/tex]
such that A is the initial and r is the rate of growth.
f(x) and g(x) are at the same rate but the exponential function is known to grow faster.
Hence the correct option is The original population of State A was double of the original population of State B.
Complete question:Which conclusion is correct about the population of State A and State B? 1. The original population of State A was double of the original population of State B.
2. The original population of State A was half of the original population of State B.
3. The original population of State B was one-fourth of the original population of State A.
4. The original population of State A was one-fourth of the original population of State B.
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Answer:
Step-by-step explanation:
honestly thats what it is
Consider functions f and g. What is the value of x when (g x f)(x) = 4
By applying the definition of functions and composition between two functions, we find that (g ° f) (x) = 4 when x is equal to 6. (Correct choice: B)
How to find the result of composition between two functionsLet be f and g functions, there is a composition of f in terms of g when the input of the former is output of the latter. Hence, we have the following relationships:
g(x):
- 2 → 4
f(x):
6 → - 2
By applying the definition of functions and composition between two functions, we find that (g ° f) (x) = 4 when x is equal to 6. (Correct choice: B)
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QUESTION 1 -
If f(x)=2x-2 and g(x)=x²+1, then f(g(-2)) =
A. -12
B. 8
C. -8
D. 4
Urgently need answer. Will give brainliest.
Answer:
B. 8
Function's:
Given following:
f(x) = 2x - 2 g(x) = x² + 1To solve for f(g(-2)), substitute x = -2 in function g(x)
⇒ f(g(-2))
⇒ f((-2)² + 1)
⇒ f(5)
Now, substitute x = 5 in function f(x)
⇒ 2(5) - 2
⇒ 8
25. A wheelchair access ramp has an angle of elevation of 16°. If the ramp
reaches to the top of a 22 inch high porch, how long is the ramp?
79.82 in.
76.81 in.
73.82 in.
81.5 in.
Answer:
C. 76.81
Step-by-step explanation:
We must use one of the trigonometric ratios to find the length, L, of the ramp. If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.
Therefore, we must use tan, which is [tex]\frac{opposite}{adjacent}[/tex]:
[tex]tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\[/tex]
[tex]\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16} \\\\L=79.815=79.82 in.[/tex]
mark: 3,2,0,1,9,12,3,5
if the pass mark is 5, how many students failed the text
Answer:
5
Step-by-step explanation:
Anything below 5 is a fail:
3, 2, 0, 1, 3
That's 5 students.
help!! find the volume of the cone
Answer:
hi. 3.14multipled by 12 multipled by 21Faruq has a identical markers, b identical pencils, and no other writing utensils in his locker. How many different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed?
Your answer should be an expression, which might involve the variables a and/or b.
The number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b
How to calculate the different collection of writing utensils?Since Faruq has a identical markers, b identical pencils, and no other writing utensils in his locker and we require the number of collections or ways he could bring them to school without coming to school empty-handed, we use combination mathematics since order does not matter.
Now, Faruq can either come to school with one marker and one pencil or one pencil or one marker.
So, the combination for one marker and one pencil is n = a × b = ab
The combination for one marker is n' = a
The combination for one pencil is n" = b
So, the total combination is N = n + n' + n"
= ab + a + b
So, the number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b
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Please help
Which quadrilaterals are not rhombuses?
Choose each correct answer.
Answer:1 and 3
Explanation:by definition a rhombus is parallelogram a with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.
Which description best compares the graphs given by the equations:
x - 5y = -5 and -5x - 25y = 25
a. parallel
b. perpendicular
c. intersecting but not perpendicular
d. None of the above.
x - 5y = -5, -5x - 25y = 25
First, you'll need to get the x variable by itself.
x - 5y = -5
+5 +5
x = 0
So x is plotted on the 0.
For the second part of the first equation, you'll be looking for what the y variable represents.
x - 5y = -5
-x -x
-5y = -5
5 5
y = 1
So y is plotted on the 1 on the vertical line above the 0.
For the first part of the second equation, you'll do the same thing as in the first equation.
-5x - 25y = 25
+25 +25
-5x = 50
5 5
x = 10
So the x for this equation is plotted on 10 on the horizontal line.
For the second part of the second equation, you will do the same thing as in the first equation.
-5x - 25y = 25
+5 +5
-25y = 30
25 25
y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.
Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.
Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.
Intersecting means the lines may or may not be of equal length but will touch each other.
Which graph shows the solution to this system of linear inequalities? y>2x+3 y<-2x-4
The graph that shows the solution to the given system of linear inequalities is shown below
Graph of InequalitiesFrom the question, we are to draw the graph that shows the solution to the given system of linear inequalities
The given system of linear inequalities is
y>2x+3
y<-2x-4
The graph that shows the solution to the given system of linear inequalities is shown below
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How many yards are in 3218 meters
Answer:
3519.248
Step-by-step explanation:
Searched it up ngl
I put what I thought but came out wrong, please help
Answer:
Sir, as for as I can tell that is the correct answer. Maybe you put it in wrong or added a space but that’s correct 100%.
Unless it’s not supposed to be in y = mx + b format?
Step-by-step explanation:
Answer:
y = -x - 1
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
number that describes both the direction and the steepness of the line
slope = rise/run
b represents the y-intercept
point where crosses the y-axis
The y-intercept is -1rise = -1, run = 1 so rise / run = -1 / 1 = -1line is downward slopey = mx + b → y = -1x + (-1)
this can be simplified by -x - 1
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Can someone help me with this step by step with explanation im confused need help
The construction is to draw a parallel line to a given line AB passing through point P. To fix the error, the 3rd arc must be reconstructed. Thus the correct option is D. The third arc should be drawn centered at F.
The given construction involves drawing a parallel line through a given point P to a given line AB.
From the construction shown, drawing a straight line through P and G would not be parallel to the given line AB. Thus there is an error in the construction of the 3rd arc. To draw the required corresponding angle, the 3rd arc has to be reconstructed.
Therefore to fix the error the correct step to follow is: Option D. The third arc should be drawn centered at F.
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Kindly contact a 1-on-1 tutor if more explanations are needed.
Given the quadratic equation: x^(2)+6=0, find all solutions for x
Answer:
[tex]x=i\sqrt6[/tex]
[tex]x=-i\sqrt6[/tex]
Step-by-step explanation:
x^2=-6
x=[tex]\sqrt-6[/tex]
The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles live between 17.5 and 20.5 years?
Find the z-table here.
0.3147
0.4068
0.5932
0.6853
Picture posted below
Option B) is correct 0.4068 portion of crocodiles live between 17.5 and 20.5
The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.
Z-table is tabulated data that gives the information of value of percentage of data.
standard deviation = 2.6 ; mean (μ)= 18
lives between 17.5 and 20.5
x= (20.5+17.5)/2=19
Z = (X - μ) / σ
z=-(19-18)/2.6
z= 0.38
While compare it with the z table is gives 0.4068.
Thus the required value of Z = 0.4068
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A simple random sample of 50 items from a population with 7 resulted in a sample mean of 35.
The 90% , 99% confidence interval for the population mean is 32.145 < [tex]\rm \mu[/tex] < 35.855 and 31.093 < [tex]\rm \mu[/tex] < 36.907
What is Probability ?Probability is the study of likeliness of an event to happen.
It is given that
Total Population = 50
Mean = 35
The confidence interval is given by
[tex]\rm CI = \mu + z \dfrac{s}{\sqrt n}[/tex]
[tex]\rm \mu[/tex] is the mean
z is the confidence level value
s is the standard deviation
n is the population width
(a) The 90% confidence interval for the population mean
90% [tex]\rm \alpha / 2[/tex] = 0.05
Z = 1.64
34 [tex]\rm \pm[/tex] 1.64 * 8 / √50
34 [tex]\rm \pm[/tex] 1.855
32.145 < [tex]\rm \mu[/tex] < 35.855
(b) The 99% confidence interval for the population mean
99% [tex]\rm \alpha / 2[/tex] = 0.005
Z=2.57
34 [tex]\rm \pm[/tex] 2.57 * 8 / √50
34 [tex]\rm \pm[/tex] 2.907
31.093 < [tex]\rm \mu[/tex] < 36.907
Therefore the confidence interval for population mean has been determined.
The complete question is
A simple random sample of 50 items from a population width =7 resulted in a sample mean of 35. If required, round your answers to two decimal places.
a. Provide a 90% confidence interval for the population mean
b. Provide a 99% confidence interval for the population mean
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Re-Write
51/40
as a decimal.
Answer:
1.275
Step-by-step explanation:
Answer:
51/40
= 1.275 in decimal
hoping help
Y=24-4x fill in the table using this function rule
X Y
1 ?
4 ?
5 ?
6 ?
X = 1 4 5 6
Y = 20 8 4 0
Mathematical FunctionsFrom the function: Y = 24 - 4X
If X = 1, then Y = 24 - 4(1) = 20
If X = 4, then Y = 24 - 4(4) = 8
If X = 5, then Y = 24 - 4(5) = 4
If X = 6, then Y = 24 - 4(6) = 0
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72 people took a violin exam. Before the exam, 21 people predicted that they would pass, and the rest predicted they would fail. Of the people who predicted they would pass, 17 actually did. In total, 33 people passed the violin exam. What fraction of those who thought that they would fail actually did fail? Give your answer in its simplest form. 72 people took a violin exam . Before the exam , 21 people predicted that they would pass , and the rest predicted they would fail . Of the people who predicted they would pass , 17 actually did . In total , 33 people passed the violin exam . What fraction of those who thought that they would fail actually did fail ? Give your answer in its simplest form .
Answer:
2
Step-by-step explanation:
mum
Suppose that $7000 is placed in an account that pays 9% interest compounded each year. Assume that no withdrawals are made from the account.
Answer:
half question
Step-by-step explanation:
I'm sorry sir but I would like you to make sure if you have posted the whole question
thank you
Which graph represents the equation x2 = 8y?
Answer:
The second graph.
Step-by-step explanation:
If you plug the equation into the desmos graphing calculator, you'll get the second graph.
Hope this helped! :)