Numbers from 1 to 50 Find the probability of choosing
numbers with 4 in tens places.
Answer: 1/5
Step-by-step explanation:
There are 10 numbers, out of 50, which have a 4 in their tens place: 40, 41, 42, 43, 44, 45, 46, 47, 48, and 49.
Therefore our desired probability is 10/50 or 1/5.
Consider the following data set.
45 58 41 45 38 46 45 39 40 31
1.
Sort the data and find quartiles of the data set.
2.
Find the interquartile range of the data set.
3.
Find the lower fence and the upper fence for outliers.
4.
Find outliers if they exist.
Based on the dataset given, the first quartile is 38.75, and the third quartile is 45.25. This interquartile range is 6.5. The lower fence is 29 and the upper fence is 55.
What are the quartiles in the data?Order the sets:
31, 38, 39, 40, 41, 45, 45, 45,46, 58
First quartile position:
= 1(10 + 1) / 4
= 2.75th position
= 38 + 0.75 x (39 - 38)
= 38.75
Third quartile:
= 3(10 + 1) / 4
= 8.25th position
= 45 + 0.25 x (46-45)
= 45.25
Interquartile range:
= 45.25 - 38.75
= 6.5
Upper fence:
= 45.25 + (1.5 x 6.5)
= 55
Lower fence:
= 38.75 - (1.5 x 6.5)
= 29
59 is an outlier.
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waht is the x^2 + 10 = 0
Answer:
x = ±√10i (i outside the radical), or approximately ±3.62i, or no solution depending on your class.
Step-by-step explanation:
x^2 + 10 = 0
x^2 = -10
x = ±√-10
x = ±√10i (i outside the radical), or approximately ±3.62i.
The solution is not real.
If you meant x^2 - 10 = 0 then x = ±√10 or approximately ±3.62. This solution is real.
Here is the question in the image
The coordinates of the edges of the mini-solar cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60).
The distance between the two edges is 120 centimeters.
The equation for the parabolic mirror is x + 32 = (2/225) · y².
How to analyze a parabolical mini-solar cooker
Herein we must understand the geometry of the design of the mini-solar cooker to determine all needed information. The y-coordinates of the edges of the cooker are determined by Pythagorean theorem:
[tex]y = \pm \sqrt{(68\,cm)^{2}-(32\,cm)^{2}}[/tex]
y = ± 60
The coordinates of the edges of the mini-solar cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60). The distance between the two edges is 120 centimeters.
Lastly, the equation of the parabolic mirror can be determined based on the equation of the parabola in vertex form:
x - h = C · (y - k)² (1)
Where:
h, k - Coordinates of the vertex
C - Vertex constant
If we know that (h, k) = (- 32, 0) and (x, y) = (0, 60), then the vertex constant of the equation of the parabola is:
0 + 32 = C · 60²
C = 2/225
Then, the equation for the parabolic mirror is x + 32 = (2/225) · y².
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Assuming a 1-year, money market account investment at 2.55 percent (APY), a 1.11 % inflation rate, a 28 percent marginal tax bracket, and a constant $60000 balance, calculate the after-tax rate of return, the real return, and the total monetary return. What are the implications of this result for cash management decisions?
Question content area bottom
Part 1
Assuming a 1-year, money market account investment at 2.55 percent (APY), a 28 percent marginal tax bracket, and a constant $ 60000 balance the after-tax rate of return is
enter your response here%. (Round to two decimal places.)
The after-tax rate of return is 1.84%, the real return is 0.721%, the total monetary return is $1530 and the implications become very challenging to grow with such a return as the taxes
Given that money market account investment at 2.55 percent (APY), a 1.11 % inflation rate, a 28 percent marginal tax bracket, and a constant $60000 balance.
Cash management is the backbone of any business. Cash management ensures that the company operates according to established standards and optimizes the use of funds to avoid wasting resources. Liquidity management decisions are therefore key to preserving a company's capital and profitability.
Firstly, we will find the after-tax return rate, we get
After-tax return rate= Before tax rate of return \times ( 1 - tax rate)
After-tax rate of return = 0.0255× ( 1 - 0.28)
After-tax rate of return = 0.0255×0.72
After-tax rate of return=1.84%
Now, we will find the real return, we get
Real return=((1+After-tax Return)/(1+inflation rate))-1
Real return=((1+0.0184)/(1+0.0111))-1
Real return=(1.0184/1.0111)-1
Real return=1.00721-1
Real return=0.721%
Furthermore, we will find the total monetary return, we get
Total monetary rate=Balance×Before tax rate of return
Total monetary rate=60000×2.55%
Total monetary rate=$1530.
The implications of this result for cash management decisions is that it becomes very challenging to grow with such a return as the taxes and inflation is draining the returns and leaving only with negative returns.
Hence, the after-tax rate of return is 1.84%, the real return is 0.721%, the total monetary return is $1530 and the implications become very challenging to grow with such a return as the taxes and inflation is draining the returns and leaving only with negative returns.
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I need help with this geometry question asap!
Answer: Answer C is correct, 50.9.
Calculate the t-score for a sampling distribution mean of 10.5, a standard deviation of 1.5, and a size of 36 drawn from a population that has a mean of 10.
The t- score for a sampling distribution is 2
The t-score is the number of standard deviations from the mean in the t-distribution.
The upper and lower bounds of a confidence interval when the data are approximately normally distributed.
T-scores and confidence intervals
Confidence intervals use t-scores to calculate the upper and lower bounds of the prediction interval. The t-score used to generate the upper and lower bounds is also known as the critical t or t* value.
The t- distribution is given by
t=(x – μ) / (S / √n)
t = T – Distribution
x = sample mean
μ = population mean
S = standard deviation
n = Sample size
It is given that sampling distribution mean of 10.5, a standard deviation of 1.5, and a size of 36 drawn from a population that has a mean of 10.
We need to find the t-score for sampling distribution
t=(x – μ) / (S / √n)
Here, x= 10.5 , μ= 10, S=1.5, n=36
t = (10.5 - 10)/ (1.5 /√36)
t= 2
Hence the value of t-score is 2
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Shayla enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x+10)^2=256, x represents the side measure of the original square photo. What are the dimensions of the original photo
. sorry sorrysorrysorrysorrysorrysorrysorrysorrysorrysorrysorry
NO LINKS!! Please help me with this problem
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The given vertex and Focus are of a vertical parabola having an opening downward as the focus is in downward direction as the vertex.
Focus of the parabola can be written as :
[tex]\qquad \sf \dashrightarrow \: (h ,k+ a )[/tex]
where, h and k are coordinates of vertex
so,
k + a = -2 -1 + a = -2a = -1So, the equation of parabola can be written as :
[tex]\qquad \sf \dashrightarrow \: (x - h) {}^{2} = 4a(y - k)[/tex]
plug in the values ~
[tex]\qquad \sf \dashrightarrow \: (x - 1) {}^{2} = 4(- 1)(y + 1) {}^{} [/tex]
[tex]\qquad \sf \dashrightarrow \: (x - 1) {}^{2} = - 4(y + 1)[/tex]
Answer:
[tex](x-1)^2=-4(y+1)[/tex]
Step-by-step explanation:
Standard form of a parabola with a vertical axis of symmetry:
[tex](x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0[/tex]
Vertex = (h, k)Focus = (h, k+p)Directrix: y = (k-p)Axis of symmetry: h = kIf p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.Given:
vertex = (1, -1)focus = (1, -2)Comparing with the formulas:
⇒ h = 1
⇒ k = -1
⇒ k + p = -2 ⇒ -1 + p = -2 ⇒ p = -1
Substituting the values into the formula:
[tex]\implies (x-1)^2=4(-1)(y-(-1))[/tex]
[tex]\implies (x-1)^2=-4(y+1)[/tex]
What are the solutions of the equation x^4 - 7x^3 + 23x^3 - 29x - 60 = 0 are shown. What are the nonreal solutions to the equation?
Answer:
A.
Step-by-step explanation:
1) according to the given graph, the real roots are: -1 and 4, it means the given expression can be evaluated using (x+1)(x-4)=x²-3x-4.
2) if to divide the given expression by (x²-3x-4), then
x⁴-7x³+23x²-29x-60=(x²-3x-4)(x²-4x-15), where
3) x=-1;4 - real roots, and
[tex]x=2^+_-i\sqrt{11} \ -nonreal \ roots.[/tex]
what percentage was the price of the shirt reduced
If f (7) = 22, then
f(f-1(22)) = [?]
Answer: 22
Step-by-step explanation:
[tex]f(f^{-1}(x))=f^{-1}(f(x))=x[/tex]
a group of mapuve CLC MLMS4 STUDENTS were questioned how they got to school.half of the students said they walk, one-third said they take a taxi,and the rest claimed they drive.calculate the number of students delivered by a car using proper fractions
The fraction of those who were delivered by car will be 1/6.
How to calculate the fraction?It should be noted that from the information given, the students were questioned on how they got to schoo and half of the students said they walk, one-third said they take a taxi,and the rest claimed they drive.
Therefore, the fraction of those who were delivered by car will be:
= 1 - (1/2 + 1/3)
= 1/2 - 5/6
= 1/6
In conclusion, the fraction of those who were delivered by car will be 1/6.
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What is 72 decreased by 32%
Hello,
What is 72 decreased by 32%
72 × (1 - 32%)
= 72 × (1 - 32/100)
= 72 × (1 - 0,32)
= 72 × 0,68
= 48,96
Answer:225
Step-by-step explanation:
The volume of a prism with side lengths measured in millimeters is 20. How could this measurement be written? Check all that apply.
The unit measurement of the a volume in mm is mm³(millimetres cube.)
How to find volume ?Volume is is defined as the space occupied within the boundaries. The objects are usually solid objects.
The volume of a 3 dimensional figure is the product of the base area and the height.
Therefore, the units of volume is measured in cubic units.
The volume of a prism with side lengths measured in millimetres is 20.
Therefore, the measurement can be represented as follows:
20 mm³
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Solving (-49 ÷ 7 × 3(-8)) ÷ 4+ (6 x 3) - 21 ÷ 3 gives a. 13 O b. 67 O O d. 53 c. 25
Answer:
THE ANSWER for this IS d) 53
Match the expressions to their solutions or equivalents. Solution of 0.5 x = 0
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Assuming that your expression is:}[/tex]
[tex]\textsf{0.5x = 0}[/tex]
[tex]\huge\textbf{If so, let's solve for the given expression:}[/tex]
[tex]\textsf{0.5x = 0}[/tex]
[tex]\huge\textbf{Divide 0.5 to both of the sides you have:}[/tex]
[tex]\mathsf{\dfrac{0.5x}{0.5} = \dfrac{0}{0.5}}[/tex]
[tex]\huge\textbf{You have to simplify the equation above:}[/tex]
[tex]\mathsf{x = \dfrac{0}{0.5}}[/tex]
[tex]\mathsf{x = 0}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = }\frak{0}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I need answer for questions 13 please and thank you!
There are 14 yellow blocks in the box
How to determine the number of yellow blocks?The given parameters are:
P(Red) = 1/3P(Red and Yellow) = 1/12Sample, n = 24The number of yellow blocks is calculated as:
Yellow = (1 - P(Red) - P(Red and Yellow)) * n
So, we have:
Yellow = (1 - 1/3 - 1/12) * 24
Evaluate
Yellow = 14
Hence, there are 14 yellow blocks in the box
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Complete question
A box contains a group of 24 blocks. Some are red, some are yellow, and some are a mixture of the two colors. The probability of drawing a red block is 1/3. The probability of drawing a red and yellow block is 1/12. Determine the number of yellow blocks.
jerome wants to bake two batches of muffins. He can bake two batches of chocolate chip (C), two batches pumpkin, or one batch of each.
The situation presented can be represented using the following letters CC, CP, PC, and PP.
How many combinations are possible in this situation?The possible combinations are:
Two batches of chocolate chip or CC.Two batches of pumpkin or PP.One batch of chocolate chip and another of pumpkin of CP.One batch of pumpkin and another of chocolate chip or PC.Based on this, the option that represents the situation is:
CC, CP, PC, and PP.
Note: This question is incomplete; here is the missing section:
What is the sample space of the event described above?
Answer choices:
a. CC, CP, PC, PP
b. CC, PP
c. CC, CP, PC
d. C, P
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FRACTIONS
Equivalent fractions
Fill in the blank to make the two fractions equivalent.
blank over 30=4/5
The complete fraction is 24/30=4/5
How to create an equivalent fraction?The expression is given as:
blank over 30=4/5
Represent the blank with x.
So, we have:
x/30=4/5
Multiply both sides by 30
x = 30 * 4/5
Evaluate
x = 24
Substitute x = 24 in x/30=4/5
24/30=4/5
Hence, the complete fraction is 24/30=4/5
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Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?
As x increases, y increases along the entire graph.
As x increases, y increases, decreases, and then increases again.
As x increases, y decreases, increases, and then decreases again.
As x increases, y decreases along the entire graph.
Answer:
As x increases, y increases along the entire graph.
If m<1=72 then find the value of m<2
A.18
B.108
C.72
D.144
Which of the following expressions is equivalent to the one shown below?
713
7⁰
OA. 720
OB. 75
O C. 76
O D. 791
Answer: Option C [tex]\boldsymbol{7^6}[/tex]
Work Shown:
[tex]\frac{7^{13}}{7^{7}}\\\\\\7^{13-7}\\\\\\\boldsymbol{7^6}[/tex]
Subtract the exponents to get the answer. The rule is [tex]\frac{a^{b}}{a^{c}} = a^{b-c}[/tex]. This rule only works when the bases are the same.
Type the correct answer in the box.
Net of a triangular prism includes 3 same-sized rectangles that coincide along their width. Each rectangle has length labeled 10 centimeters and width labeled 15 centimeters. Isosceles triangle is placed above and below of second rectangle.
The surface area of the three-dimensional figure is
square centimeters.
The surface area of this three-dimensional figure is equal to 536.6 square centimeters.
How to determine the surface area?First of all, we would determine the total area of the three rectangles by using this formula:
Total area = 3 × Length × Width
Total area = 3 × 15 × 10
Total area = 450 cm².
Next, we would determine the total area of the two triangles by using this formula:
Total area = 2 × (1/2 × b × h)
Total area = b × h
Total area = 8.66 × 10
Total area = 86.6 cm².
Surface area = 450 + 86.6
Surface area = 536.6 cm².
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help me with this pls and ty
Answer:
It is the second answer.
Step-by-step explanation:
When numbers with the same base are multiplied, you add the bases.
1/2 + 3/4 is the same as
2/4 + 3/4 = 5/4
So now we have 2 ^5/4^2. When we have a power raised to a power. We multiply the powers.
5/4(2)
(5/4(2/1) = 10/4 = 5/2. The second answer is the same way to describe
2^(5/2)
If you use your office computer 20 hours per week, and do not unplug it when it is not in use, how much carbon dioxide is produced from the vampire energy used by the office computer in one year ? help (energyvampires)
Express your answer rounded to the nearest tenth of a pound of carbon dioxide.
The carbon dioxide that is produced from the vampire energy used by the office computer is 1042.8 kWh.
How to calculate the value?Based on the information given, the number of hours that the computer is plugged on a day will be:
= 20/7
= 2.857 hours
Therefore, the power consumption in a year will be:
= 2.857 × 365
= 1042.8 kWh
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Plot each point that is a horizontal distance of 6 and a vertical distance of 2 from the origin.
The points that are a horizontal distance of 6 and a vertical distance of 2 from the origin are (6, 2), (-6, 2), (6, -2), (-6, -2)
What are points?Points are undefined terms in geometry, however they are used to represent the coordinate or location of items in a coordinate plane
How to plot the point?The features of the point are given as:
Horizontal distance = 6
Vertical distance = 2
The above means that:
x = 6
y = 2
The points are then represented as:
(x, y) = ±(x. y)
So, we have
(x, y) = ±(6, 2)
When the above equation is expanded, we have
(x, y) = (6, 2), (-6, 2), (6, -2), (-6, -2)
Next, we plot the points on a coordinate plane
See attachment for the graph of the plane
Hence. the points that are a horizontal distance of 6 and a vertical distance of 2 from the origin are (6, 2), (-6, 2), (6, -2), (-6, -2)
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You deposit $400 each month into an account earning 8% interest compounded monthly. Round to the nearest cent as needed. a) How much will you have in the account in 35 years? $ b) How much total money will you put into the account? $ c) How much total interest will you earn? $
If I deposit $400 each month into an account earning 8% interest compounded monthly, I will have $6,517 in my account in 35 years. The total money that I will put into the account is $168,000. I will earn a total compound interest of $6,117.
Calculating the Sum of Money in 35 yearsGiven information is as follows,
Principal, P = $400
Rate = 8%
Time, T = 35 years
n = 12 (Compounded monthly)
The amount for compound interest is given as,
A = [tex]P\frac{(1+\frac{R}{n} )^{nT} -1}{R/n}[/tex]
A = [tex]400\frac{(1+\frac{0.08}{12} )^{12.35} -1}{0.08/12}[/tex]
A = 6,517.02
A = $6,517 (to the nearest cents)
Calculating the Amount Put in AccountSince, $400 is deposited every month for 35 years,
Amount Put in 35 years for this compound interest =$400 × 12 × 35
= $168,000
Calculating the Compound InterestA = P + CI
Thus, the compound interest is given by,
CI = A - P
CI = 6517 - 400
CI = $6,117
I will earn a total interest of $6,117
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the sum of two numbers is 55. the greater number is seventeen times the smaller number plus one. Find the numbers
Answer:
52 and 3
Step-by-step explanation:
17x+1 + 1x =55
18x+1=55
18x=54
x=3
Differentiate between different types of plane with example
Answer:
The three planes of motion are the sagittal, coronal (or frontal) and transverse planes.
Sagittal Plane: Cuts the body into left and right halves. Forward and backward movements.
Coronal (or Frontal Plane): Cuts the body into front and back halves. ...
Transverse Plane: Cuts the body into top and bottom halves.