The sum of angles in a pentagon is 540°. This means that for a regular pentagon, each angle is given as
\(\frac{540}{5}=108^{\circ}\)Observe ΔABC,
ΔABC is an isosceles triangle given lines AB and BC are equal sides of the regular pentagon.
Therefore, summing up the angles in ΔABC,
\(\begin{gathered} ButThus,
Inputting value of
108 + 2(2
A school psychologist wants to perform a study at a local elementary
school where 150 students that have long-term concentration issues. The purpose of the study would be to determine if doing jumping jacks for 5 minutes helps with long-term concentration compared to sitting still for 5 minutes.
Part A: Describe an appropriate design for the study. (5 points)
Part B: The hypotheses for this study are as follows:
H0: There is no difference in the mean improvement of long-term concentration for either treatment.
Ha: The mean improvement of long-term concentration is greater for the jumping jacks treatment.
The school will allow students to do jumping jacks during class if the null hypothesis is rejected. What are the possible Type I and II errors? Describe the consequences of each in the context of this study and discuss which type you think is more serious. (5 points)
Answer:
Kindly check explanation
Step-by-step explanation:
An appropriate research design which may be employed is to perform a random assignment of the 150 students into two groups whereby a certain group is made to perform the jumping exercise and the other group sitting still for 5 minutes, after this concentration level is measured in both groups in other to evaluate if there are differences in concentration levels between the two groups.
Given the hypothesis :
H0: There is no difference in the mean improvement of long-term concentration for either treatment.
Ha: The mean improvement of long-term concentration is greater for the jumping jacks treatment.
A type 1 error occurs when a true null is rejected ; this means that we conclude that The mean improvement of long-term concentration is greater for the jumping jacks treatment when this is actually not true. Hence, students will be allowed to do jumping jack in class but there won't be any improvement.
A type 11 error occurs when we fail to reject a false null hypothesis ; Hence, we conclude that There is no difference in the mean improvement of long-term concentration for either treatment when the jumping Jacks treatment actually does improve concentration level. Hence, the school will fail to allow students do jumping jack in class.
In my opinion, type 11 error is more serious in this scenario because, the school would have failed to identify and ignored a treatment which makes it's students attain a better level of concentration.
What is the equation of the line that passes through the point (-3, 7) and has a slope of -5/3?
The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).
We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.
To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.
Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.
To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.
This is the equation of the line in standard form.
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please help asap!!!!!!
Answer:
z = 66
Step-by-step explanation:
QT is a midsegment. Thus, applying the midsegment theorem:
RS = 2(QT)
QT = z - 33,
RS = z
Plug in the values into the equation
z = 2(z - 33)
z = 2z - 66
Subtract 2z from each side
z - 2z = -66
-z = -66
Divide both sides by -1
z = 66
Please someone help me I rlly don’t get this I’ll give you like 40 points
Answer:
Step-by-step explanation:
H(n)=91x(-1/7) n-1
do not know
Hope it helps the answer is the 2nd one have a great day
In seawater, the pressure p is related to the depth d according to 330 - 18d = 495 where d is in feet and p is in pounds per square inch. (a) Solve this equation tor p in terms or d (D) The litanc was discovered at a depth of 12.460 ft. Find the pressure at this depth
For Part A; p = \(\frac{18}{33} d\) + 15,
Part B; p = 21.79 pounds per square inch
What are linear equation?A linear equation is one with a degree greater than or equal to 1. This indicates that in a linear equation, no variable has an exponent greater than 1. A linear equation's graph always follows a straight line.
Given relation between pressure (p) and depth (d) in form of linear equation,
33p - 18d = 495
Part A: p in terms of d;
33p = 495 + 18d
p = 495/33 + 18d/33
p = 15 + 18d/33
Part B: at d = 12.460 feet
p = 15 + (18 x 12.460)/33
p = 15 + 6.79
p = 21.79 pounds per square inch
Hence the equation tor p in terms or d is p = \(\frac{18}{33} d\) + 15,
and pressure at 12.460 feet depth is 21.79 pounds per square inch.
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5w-15 as equivalent fraction
The required equivalent expression is given as 5(w - 3).
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
An equivalent expression of any expression is given as the simplifying the expression using various operations such as factors.
So,
Given expression,
= 5w - 15
As in the expression 5 is a common term between 5w and 15.
Take 5 commons and put the rest of the expression in the parenthesis.
= 5(w - 3)
Thus, the required expression is 5(w - 3).
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a. SAS
b. ASA
c. AAS
d.SSS
"If 54 oranges costs find the cost - Of 3 I
oranges
Answer:
Step-by-step explanation:
Cost of 3 oranges = cost of 54 oranges / 18
Sebastian observed the number of minutes his dormmates spent on social media sites while they were at the library. he reported his data in the following list.
13, 0 , 14 , 36, 18, 9
Find the mean absolute deviation (mad) of the data set. ___ minutes
The mean absolute deviation (MAD) of the data set is equal to 180.625.
The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.
Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)
x bar =average value of the given data set
n= total number of data set
xi = data value in a given set
According to the question,
x bar = sum of all the data set / total number of the data set
x bar = 2052/16 = 128.25
Substitute the value in the formula, we have
Mean absolute deviation = 2890/16 = 180.625
Hence, the Mean absolute deviation of the data set is equal to 180.625.
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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5
The term Mean absolute deviation in math is defined as the average distance of each observation of data set and the mean of the data set.
Here we have given the following data.
=> 13, 0 , 14 , 36, 18, 9
Then the mean of the data is calculated as,
=> (13 + 0 + 14 + 36 + 18 + 9)/6
=> 90/6
=> 15
Now, we have to the Substitute the value in the formula, we have
And then the Mean absolute deviation is calculated as,
=> (90 + 15)/6
=> 105/6
=> 17.5
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Question 14 (essay worth 12 points)
(writing two step equations HC)
Given the equation 6x + 18 = 72:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
A. Ram spent $18 on six pens and six books. The grand total is $72.
B. The cost of each pen is $9.
C. The variable is called x.
What is an equation?
A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).
Here, we have
Given: the equation 6x + 18 = 72:
A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.
B. The following equation will be used to demonstrate this:
6x + 18 = 72
Compile similar terms.
6x = 72 - 18
6x = 54
On dividing,
x = 54 / 6.
x = $9
Hence, each pen will set you back $9.
C. The variable's value is x = 9.
Hence, the pen's price is 9.
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Write all prime numbers between 10 and 20
Answer:
11,13,17,19
Step-by-step explanation:
Answer:
11 , 13 , 17 and 19
Step-by-step explanation:
good luck :)
Tob's restaurant ordered $435.78 worth of supplies from a catalogue. Toby ust pay 5.5% sales tax on this amounmt How much sales tax must he pay?
Answer:
$23.97 is the sales tax
Step-by-step explanation:
5.5% ÷ 100 = 0.055
0.055 x 435.78 = 23.9679
round to nearest hundredth
= 23.97
If l=5,b=3cm,c=2cm, find its volume
Answer:
30 cm³
Step-by-step explanation:
Volume = lbc
V = l x b x cV = 5 cm x 3 cm x 2 cmV = 30 cm³Answer:
The volume is 30 cm³
Step-by-step explanation:
Volume = l×b×c
=> 5×3×2
=> 30 cm³
Let g(x) be the indicated transformation of f(x) = −|3x| − 4. Stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3 and reflect it across the x-axis. Identify the rule and graph of g(x).
The final rule for g(x) is g(x) = 3|3x| + 12.
To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.
So, the rule for g(x) is g(x) = 3f(x).
Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:
g(x) = 3f(x)
g(x) = 3(-|3x| - 4)
g(x) = -3|3x| - 12
This is the expression for g(x), which represents the transformed graph.
To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.
Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.
Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.
The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).
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Help me please and thank you, and I will mark you brainliest!!
Answer:
270m^2
Step-by-step explanation:
30m*18m/2 = 270m^2
Answer:
270
Step-by-step explanation:
z varies directly as √√x and inversely as y. If: = 179 when x=25 and y= 7, find zifx = 64 and y = 4. (Round off your answer to the nearest hundredth.)
z=
We know that z varies directly as √√x and inversely as y, which can be written as:
z = k(√√x)/y
where k is the constant of proportionality.
To find the value of k, we can use the values given when x = 25 and y = 7:
179 = k(√√25)/7
179 = k(5/7)
k = (179*7)/5
k = 250.6
Now we can use this value of k to find z when x = 64 and y = 4:
z = 250.6(√√64)/4
z = 250.6(2)/4
z = 125.3
Therefore, z ≈ 125.3 when x = 64 and y = 4.
Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?
Answer:
There are 9 people in the class.
Step-by-step explanation:
Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,
4+4+1 (Sean himself) = 9 people
The number of students in the class is given by the sum of the frequency
of each score.
There are at least 9 students in the class.Reasons:
When the class scores are arranged in increasing order, we have;
Sean's position = 5 th = The fifth lowest score
Therefore;
The number of scores lower than Sean's score = 4When the scores are arranged in decreasing order, we have;
Sean's position = 5 th = Fifth highest score
Therefore;
The number of scores higher than Sean's score = 4The total number of different scores in the class = 4 + 1 + 4 = 9Given that two or more students can have the same score, the frequency
of each score, determines the number of students in the class, we have;
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I am lost please help thank you all
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
Writing: A mistake has been made in the solution. Explain the error and how to correct it.
Answer:
The mistake was made in the second step when going from 3x - 2(3x-4) = 13 to 3x - 6x - 8 = 13.
The mistake was in the multiplication of -2(3x-4). The error is that the negative sign was not distributed to both the 3x and the -4.
-2 times 3x is -6x and -2 times -4 is positive 8
Step-by-step explanation:
y = 3x - 4
3x - 2y = 13
------------------------
3x - 2(3x - 4) = 13
3x - 6x + 8 = 13
-3x + 8 = 13
-3x = 5
x = -5/3
y = 3(-5/3) - 4
y = -5 - 4
y = -9
Solution: x = -5/3 and y = -9
A normal distribution is informally described as a probability distribution that is "bell-shaped" when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal distribution.
The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .
What is a bell curve known for ?Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.
This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .
The rough sketch of the curve having the bell shape is shown attached to the question.
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Solve for x: −7 < x − 1 < 8
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
[Hello, blueface1728]
Answer:
[D] −6 < x < 9
Step-by-step explanation:
So, if a < u <b then a < u and u <b
-7 < x - 1 and x -1 < 8
Solving
-7 < x - 1 = x > -6
x - 1 < 8 = x < 9
Combine the intervals
-6 < x < 9
Now looking at the answer choice :
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
Thus, the answer is [D] −6 < x < 9
Kavinsky
Find the slope of the line, then write the equation of the line in slope-intercept form.
y = x - 4 is the equation of the line in slope-intercept form.
How do you interpret a slope-intercept form?
The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.
Point from graph = (2, -2 )
slope (m) = y/x
= -2/2
= 1
slope-intercept form ⇒ y = mx + c
-2 = 1 * 2 + c
- 2 = 2 + c
c = -4
slope-intercept form ⇒ y = x - 4
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what number represents the same amount as 2 hundreds + 12 tens + 6 ones ?
Answer:
326
Step-by-step explanation:
The value of the given expression is 326.
Given:
The given expression 2 hundreds + 12 tens + 6 ones.
To find:
The value of the given expression.
Explanation:
The numeric form of given expression is:
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
Therefore, the value of the given expression is 326.
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
aj = 2 and r= 3
Answer:
162
Step-by-step explanation:
2, 2*3, 2*3*3, 2*3*3*3, 2*3*3*3*3=162
The cost of 6 refrigerators and 5 washing machines is $23,628. The cost of each refrigerator is $1,650 more than the cost of a washing machine. How much does a washing machine cost?
The cost of a washing machine is $1,248
Let:
r represent the cost of one refrigerator
w represent the cost of one washing machine
The following equations can be derived from the question:
6r + 5w = 23,628 equation 1
r - w = 1650 equation 2
In order to determine the cost of washing machine, the elimination method would be used
Multiply equation 2 by 6
6r - 6w = 9900 equation 3
Subtract equation 3 from 2
11w = $13,728
divide both sides of the equation by 11
w = $1,248
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Help! Now help! ASAP!I’ll make you brainly now please
Answer:
35
Step-by-step explanation:
Answer:
-35 meters
Step-by-step explanation:
He's below sea level, basically saying below 0= sea level.
Then it's basically saying -172+ 137 meters because the shark is going upwards 137 meters, which makes 137 positive. Dude, remember, up is positive and down is negative. So the answer to this problem would be -35 meters because of -172+137=-35. Hope this helped you.
Mr.Baker is making a box using all of a 48-inch strip of oak. the box will be 14 inches wide. how long will the box be?
The length of the box made by Mr. Baker is 10-inch
Mr. Baker has strip of 48- inch long oak, by this strip he is making the rectangle box of width 14-inch.
The rectangle is 4 sided geometric shapes whose opposites are equal in lengths and all angles are about 90°.
As Mr. Baker has a strip that is 48-inch long and he made a rectangle box with it.
The width of the box = 14 inches
now the length of the box = (total length of the strip - 2* width of the box)/2
⇒ length of the box = (48 - 2*14)/2
⇒ length of the box = 10 inches
Thus the Mr. Baker made the box which is 10 inches long.
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Part C
Question
Determine the missing values in the table.
Recall that x represents the number of tickets sold and y represents the amount of money earned from ticket sales.
Type the correct answer in each box. Use numerals instead of words.
X
$20
3
6
20
$400
Answer:
40$,160$ & 60
Step-by-step explanation:
First,find the equation using y-y1/ y1-y2=x-x1=x1-x2
y-0/0-20=x-0/0-3
y=20x/3
Now put the values of x& y in the equation, for the 1st one,
y=20×6/3
=40
2nd one.y=20×24/3
=160
3rd one,
400=20x/3
X=400×3/20
=60
The values at different number of tickets and the tickets that can be bought at $400 has been determined.
What is Direct Variation?When a variable varies directly with the other variable, i.e. on increasing one variable the other variable also increases, this relation is called Direct Variation.
Let x represent the number of tickets sold
Let y represent the amount of money earned from ticket sales.
y ∝ x
y = kx
k is the proportionality constant.
The value in the table will be used to determine the value of k,
For 3 tickets, the ticket amount is $20
20 = k * 3
k = 20/3
The relation is given by
y = (20/3) x
For 6 tickets, the value will be,
y = (20/3 ) *6 = $40
For 24 tickets the value will be,
y = (20/3) * 24 = $160
For $400, how many tickets can be bought,
400 = (20/3) * x
400*3 /20 = x
60 tickets can be bought for $400
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What is the value of x in this proportion?
The value of x in this proposition would be the first option i.e. \(-13\frac{1}{4}\)
4/11= -33/x+5,
to get the value of x we need to get the x to the left hand side,
4(x+5)= -33,
4x+20 = -33.
subtracting 20 from both the sides,
4x= -33-20
4x = -53.
dividing both the sides by 4,
x= -53/4
x= \(-13\frac{1}{4}\) ,
which is option A in the given question
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