Answer:
The standard deviation of the uniform distribution is:
σ=(b−a)/√12U(3, 12)
σ = (12−3)/√12 = 9/√12 = 2.5981U(80, 250)
σ = (250−80)/√12 = 170/√12 = 49.0748U(4, 93)
σ = (93−4)/√12 = 89/√12 = 25.6921You, yes you help me pls✨
Pedro look out a 4-year loan for $32,500 to help pay his college tuition. He has to pay 4% simple interest on the loan. How much interest will Pedro have to pay?
The interest Pedro will have to pay is $5200
Calculating how much interest will Pedro have to pay?From the question, we have the following parameters that can be used in our computation:
Principal = $32.500
Rate = 4% simple interest
Time = 4 years
The formula of simple iinterest is
I = Principal * Rate * Time
substitute the known values in the above equation, so, we have the following representation
I = 32500 * 4% * 4
Evaluate
I = 5200
Hence, Pedro have to pay $5200 as interest
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What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6)?
A. y = 0.25 x + 3
B. y = 0.25 x - 4.5
C. y = 4x + 18
D. y = 4x - 42
PLEASE HELP
Answer:
A
Step-by-step explanation:
Slope intercept form is y = mx + b
First find the slope or m with this equation \(\frac{y2 - y1}{x2 - x1}\) (plug in) \(\frac{6 - 2}{12 + 4}\) = \(\frac{4}{16}\)= \(\frac{1}{4}\)
So your slope is \(\frac{1}{4}\)
To find the y-intercept you use y= mx + b and plug in.
6 = 1/4(12) + b
6 = 3 + b (minus 3 on both sides)
3 = b
so 3 is the y-intercept
So the answer is A.
Point: (2,7)
Reflected across y-axis: (-2,7)
Reflected across x-axis: ????
My options for the answer is
(-7,-2)
(-2,7)
(2,-7) which answer is it I have already tried the first one and it said it was wrong.
Answer:
(2,-7)
Step-by-step explanation:
Reflection rule for across the x-axis: \((x,y)\rightarrow (x,-y)\)
Using the rule and point (2,7):
\((2,7)\rightarrow(2,-7)\)
(2,-7) should be the correct answer.
Brainilest Appreciated.
Solve the equation 2/3x - 1/5x = x - 1
Answer:
To solve the equation:
2/3x - 1/5x = x - 1
First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:
(10/15)x - (3/15)x = 15/15 x - 1
Simplifying the left side:
(7/15)x = 15/15 x - 1
Multiplying both sides by 15:
7x = 15x - 15
Subtracting 7x from both sides:
-8x = -15
Dividing both sides by -8:
x = 15/8 or 1.875
Therefore, the solution to the equation is x = 1.875.
Solve using substitution.
y = –6
–8x − 7y = –6
Okay so you put -6 in where y is then solve and youll get your answer
-8x-7(-6)=-6
Help me please !!!!
What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent
The coordinates of the midpoints of the given line segment is:
(3.5, 1.5)
How to find the midpoints of a line segment?The midpoint of a line segment is simply referred to as the center of that specific line segment.
Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.
The coordinates of the endpoints of the line are:
(4,6) and (3,-3)
The formula to find the coordinates of the midpoint of the line is:
(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Thus, we have:
(x, y) = (4 + 3)/2, (6 - 3)/2
= (3.5, 1.5)
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Can someone show the work of 320 divided by 16. I know the answer is 20 I just need to show how I solved it
Answer:
Step-by-step explanation:
Zack, Teri, and Paco combined the foreign stamps from their collections for a stamp show. Out of their collections, 45 of Zack's stamps, 16 of Teri's stamps, and 58 of Paco's stamps were from foreign countries. How many stamps were in their display? Complete the explanation of how you solved the problem. Use the table to answer the question. Stamps CollectedNameNumber of StampsZack30Teri36Paco48 To find how many foreign stamps were in each person's collection, find the fractional part of each of their collections that were ?. Then ? those numbers together. There were foreign stamps in their display.
Answer:
33
Step-by-step explanation:
Let
Z---------------- > number of zacks stamps collections for a stamp show
T---------------- > number of teri's stamps collections for a stamp show
P--------------- > number of pacos stamps collections for a stamp show
we know that
Z=(3/10)*30-----------> Z=9
T=(5/6)*18------------ > T=15
P=(3/8)*24------------->P=9
the answer is
number of zacks stamps collections for a stamp show was 9
number of teri's stamps collections for a stamp show was 15
number of pacos stamps collections for a stamp show was 9
In their display were 33 stamps
A book is bought for 350 and sold for R490. Calculate the percentage profit.
well, the profit is clearly just 490 - 350 = 140.
Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)
Reggie put $400 in a savings account that earns 6% interest each year how much money will he have in his account after two years??
Answer:
Your answer is 4800
Step-by-step explanation:
I: PRT
400
.6
____
2400
0000
_____
2400
2
_____
4800
Have a wonderful day/night and good luck
stay safe, and stay healthy
Ty for brainliest!
Answer:
4800
Step-by-step explanation:
12 < y(8 - y)
how do i solve this please give me all the steps :)
Answer:
2 < y < 6
Step-by-step explanation:
Expand the brackets, multiplying by y
12 < 8y - y^2
Rearrange
0 < -y^2 + 8y - 12
Divide by -1. When dividing by a negative number, you must flip the inequality sign
0 > y^2 - 8y + 12
Factorise
0 > (y - 6)(y - 2)
The two solutions are y = 6, 2
Check using a value inbetween 2 and 6 to see if the inequality holds true. For example 3 is between 2 and 6
0 > (3 - 6)(3 - 2)
0 > -3(1)
0 > -3
As this holds true, this means that y lies between 2 and 6
Therefore, the answer is 2 < y < 6
(If the inequality did not hold true, then y would lie above 6 and below 2. y < 2 and y > 6. Not relevant for this example)
PLEASE PLEASE HELP ASAPPPP
In ΔABC shown below, point A is at (0, 0), point B is at (x2, 0), point C is at (x1, y1), point D is at x sub 1 over 2, y sub 1 over 2 , and point E is at the quantity of x sub 1 plus x sub 2 over 2, y sub 1 over 2 :
Triangle ABC is shown. Point D lies on segment AC and point E lies on segment BC. A segment is drawn between points D and E. Po
Prove that segment DE is parallel to segment AB.
Answer with Step-by-step explanation:
you basically have to prove similarity, then use that to prove the two angles CDE & DAB are equal. You can prove similarity with AA, SSS, or SAS.
The depth of water in a tank thats in the shape of a rectangular prism is inversely proportional to the area of its base if the tanks volume is kept constant. if the area of the tanks base is 200 square feet, the depth of the water in the tank is 12 feet. which pair of statements best describe this situation
The relationship between the depth(d), the base area (b) and volume (V) is d = 2400/b
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let d represent the depth of the tank, b represent the area of the base and V represent the volume.
The depth of water is inversely proportional to the area of its base at constant volume. Hence
d = V/b
When b = 200 ft² and d = 12:
12 = V/200
V = 2400
d = 2400/b
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The printed price of a DVD player is $ 31. If the sales tax is 8% , find the price at which the DVD player is sold?
Answer:
$33.48
Step-by-step explanation:
The following are the ages of 12 history teachers In a school district 29,30,32,32,39,41,46,49,50,51,52,53 minimum lower quartile median upper quartile maximum and interquartile range
The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.
How does interquartile range work?Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.
According to the given information:To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.
Step 1: Find the median (Q2)
When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:
Median (Q2) = (41 + 46)/2 = 43.5
Step 2: Find the lower quartile (Q1)
The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:
Q1 = (32 + 32)/2 = 32
Step 3: Find the upper quartile (Q3)
The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:
Q3 = (50 + 51)/2 = 50.5
Now we have all the information we need to construct the five-number summary and interquartile range:
Minimum: 29
Lower quartile (Q1): 32
Median (Q2): 43.5
Upper quartile (Q3): 50.5
Maximum: 53
Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5
the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.
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click on the point f(-3)
Answer:
The point at f(-3) is at (-3,1).
Step-by-step explanation:
To find the y-value of a function at a specific point by using the graph, keep in mind that the x-axis is the axis that lies horizontally on the graph.
So, look along the horizontal line through the center until you find where x = -3. Now find the corresponding y-value to that x-value by looking above or below that point until you find where it intersects the graph. When you find that point, look to see what number the point corresponds with on the y-axis. In this case, it corresponds to y = 1.
Remember that ordered pairs are formatted as (x,y).
Hope this helps.
What is the solution to the linear equation?
2/5+p=4/5+3/5p
Answer:
p=1
Step-by-step explanation:
Rearrange terms
Combine multiplied terms into a single fraction
Subtract 2/5 from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
sorry if its wrong
how many repeating digits does the number 0.1515 have
Answer:
I suppose it has 4 digits.
Step-by-step explanation:
The fractional equivalent of the repeating decimal would be 15/99.
Select the table that represents a linear function. (Graph them if necessary.)
Step-by-step explanation:
any linear function represents a straight line (hence the name) and is therefore of the structure
y = f(x) = ax + b
"a" is the slope of the line, and it is represented by the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another point.
"b" is the y-intercept (the y-value when x = 0).
so, let's look at the answer options :
A.
x = 0 gives us b (the y value) : 2
so, then for x = 1, y = 3 ?
3 = a×1 + 2
a = 1
now, the next point must be also on the same line for the whole function to be linear (and that means the equation has to be true for all numbers involved) :
x = 2, y = 6
6 = 1×2 + 2 = 4
6 is for sure NOT 4, so this is not a linear function.
it is actually y = x² + 2
B.
x = 0 gives us b : 1
for x = 1, y = 3 ?
3 = a×1 + 1
a = 2
again, the next point must be on the same line :
x = 2, y = 9
9 = 2×2 + 1 = 5
9 is for sure NOT 5, so this is not a linear function.
it is actuality y = 3^x.
C.
x = 0 gives us b : 0
for x = 1, y = 1 ?
1 = a×1 + 0 = a
a = 1
the next point :
x = 2, y = 4
4 = 1×2 = 2
4 is for sure NOT 2, so this is not a linear function.
it is actually y = x².
D.
x = 0 gives us b : 3
for x = 1, y = 9
9 = a×1 + 3
a = 6
the next point(s) must fit :
x = 2, y = 15
15 = 6×2 + 3 = 12 + 3 = 15
correct
x = 3, y = 21
21 = 6×3 + 3 = 18 + 3 = 21
correct
yes, this is a linear function.
it is y = 6x + 3
Luis wants to buy a skateboard that usually sells for $79.08. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 6.75%. Round your intermediate calculations and answer to the nearest cent.
Answer:
$74.96
Step-by-step explanation:
$79.80 × 0.12 = 9.576 (discount)
$79.80 - $9.576 = $70.224
$70.224 × 0.0675 = 4.74012 (add for sales tax)
$70.224 + $4.74012 = $74.96412
Answer the questions below to find the total surface area of the can.
Ab=3.14xRadious to the power of 2
then to the area of the rectange you do B x H = YOUR ANSWER
A right prism has a triangle base. The length of the base is 12 yards and the height of the base is 3 yards. The height of the prism is 3.5 yards. What is the volume of the prism?
Answer:
c
Step-by-step explanation:
Clare ran 8/5 as far as jada, Tyler ran 4/3 as far as jada, and Kim ran 1/2 as far as jada. Order the students from least to greatest by order of the distance they ran
1/2,4/3,8/5
Step-by-step explanation:
when u find the lowest you will see that 8/5 and 4/3 have a higher numerator and when you simplify that u will get to 8/5=1 18/30and 1/2=1 and 1/3bwhuch gets you to the lowest
Calculate the pixel size for a fast spin echo sequence with the following parameters: FOV 30cm, TR 600, TE 10, 320 x 320 matrix, 4 NEX, 3 mm slice thickness, 3 ETL.
0.94 mm x 0.94 mm
FOV ÷ Matrix = pixel size
FOV ÷ phase matrix = phase dimension pixel
FOV ÷ frequency matrix = frequency pixel
Convert 30cm to 300 mm before calculating.
300 ÷ 320 = 0.94mm (phase dimension)
300 ÷ 320 = 0.94mm (frequency dimension)
Pixel size for fast spin echo is 0.94mm x 0.94mm. FOV 30cm, TR 600, TE 10, 320x320 matrix, 4NEX, 3mm slice thickness, 3ETL.
To calculate the pixel size, we first need to convert the FOV from 30cm to 300mm. We can then divide the FOV by the matrix size (320 x 320) to get the pixel size. This will give the same value for both the phase dimension and frequency dimension pixels. So the pixel size for the fast spin echo sequence is 0.94mm x 0.94mm.
The other parameters for the sequence are TR 600, TE 10, 4NEX, 3mm slice thickness and 3ETL. These parameters will determine the type of sequence and the overall image quality. With these parameters, the fast spin echo sequence should produce a high quality image with good resolution.
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Profit = Revenue - Cost: P = R - C
(a) Solve for R.
(b) Find R when P = $4525 and C = $1475.
Answer:
(a) R = P +C
Revenue= Profit + Cost
(b) R = $6000
Step-by-step explanation:
(b) R = $4525 + $1475
= $6000
The rectangular pupil of an octopus is estimated to be 15 millimeters long with an area of (30x - 195)
square millimeters. Write an expression that represents the perimeter (in millimeters) of the octopus pupil.
Answer:
4x - 11
Step-by-step explanation:
→ Divide the area by the length to find the width
( 30x - 195 ) ÷ 15 = 2x - 13
→ Now find the perimeter by doubling each expression and adding them
2 ( 2x - 13 ) + 15
→ Simplify
4x - 26 + 15 which is 4x - 11
Which graph represents points on the polar curve r = –4sin(3θ)?
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
What are Polar coordinates?Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.
To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).
Given data ,
Let the polar curve be represented as A
Now , the polar coordinates is given as
r = -4 sin ( 3θ )
And , To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
So , on simplifying , we get
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
Hence , the polar curve is r = -4 sin ( 3θ )
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Answer:
D
Step-by-step explanation:
In the following image, segment BD bisects segment AC, and three triangles are similar: AABC~ AADB~ ABDC. Complete the two-column
proof of the Pythagorean theorem.
3: A. (AC)DC) + (AC)(CD) = (AC)AC) + (BC)BC)
B. (AC)(CD) + (AC)(AD) = (BC)BC) + (AB)AB)
C. (AB)(CB) + (AD)CD) = (AC)AC) + (BC)BC)
D. (AC)BC) = (AC)(AC) + (BC)BC)
5: A.angle bisector postulate
B. triangles
C. common line segment
D. segment addition postulate
1. The Fill ups are as follow:
AB² + BC² = AC. AD + AC. CD
2. Segment addition postulate
What is Pythagorean theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
BC/ AC = CD/ BC and AB/ AC = AD/ AB
Now, BC² = AC. CD and AB² = AC. AD
Using, Addition Property of Equality
AB² + BC² = AC. AD + AC. CD
and, AB² + BC² = AC (AD + CD) [factor]
AD + CD = AD (segment addition postulate)
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PLATO
i got it correct :)