Answer:
Step-by-step explanation:
[tex]\frac{2}{\sqrt{40} }[/tex]
=[tex]\frac{2}{\sqrt{40} }*\frac{\sqrt{40} }{\sqrt{40} }[/tex] multiply root on top and bottom
=[tex]\frac{2\sqrt{40} }{40}[/tex] reduce fraction outside of root
=[tex]\frac{\sqrt{40} }{20}[/tex] break up 40 under root
=[tex]\frac{\sqrt{4*10} }{20}[/tex] break up roots to see better
=[tex]\frac{\sqrt{4}\sqrt{10} }{20}[/tex] √4 = 2
=[tex]\frac{2\sqrt{10} }{20}[/tex] reduce fraction outside of root
=[tex]\frac{\sqrt{10} }{10}[/tex] answer
I will give you 20 points of you answer this
Answer:
Median: 1, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6 : 4
Mean: 3.42 (3.42857142857)
Mean would change
FIRST OPTION
A fair, 6-sided die is rolled 50 times. Predict how many times it will land on a number greater than 3.
one half
5
25
50
25 times out of 50 times the die will land on greater than 3.
We have,
A 6 sided die is rolled 50 times.
So, the probability of getting greater than 3 on first trial
= 3/6
= 1/2
Now, if the die rolled 50 times then the chances of getting greater than 3 is = 1/2 x 50
= 25 times
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what are the coordinates of WXYD after a reflection across the x axis
Graph A shows the image of the quadrilateral WXYZ after a reflection over the x-axis and a translation of 2 units.
Option A is the correct answer.
We have,
From the figure,
The coordinates of WXYZ.
W = (5, -3)
X = (-6, 3)
Y = (-3, 1)
Z = (-2, 3)
Now,
After the reflection over the x-axis.
W = (-3, 5) = (-3, 5)
X = (-6, 3) = (-6, -3)
Y = (-3, 1) = (-3, -1)
Z = (-2, 3) = (-2, -3)
Now,
Translation to the right of 2 units.
W = (-3, 5) = (-3, -5) = (-1, 3)
X = (-6, 3) = (-6, -3) = (-4, -3)
Y = (-3, 1) = (-3, -1) = (-1, -1)
Z = (-2, 3) = (-2, -3) = (0, -3)
Thus,
Graph A shows the image of the quadrilateral WXYZ after a reflection over the x-axis and a translation of 2 units.
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De la Cruz Automotive has net working capital of $22,600, current assets of $56,500, equity of $62,700, and long-term debt of $31,900. What is the amount of the net fixed assets?
A random sample of 5000 adults in a country includes 752 who do not use the Internet. Construct a 95% confidence interval estimate of the percentage of adults in the country who do not use the Internet. Based on the result, does it appear that the percentage of adults in the country who do not use the Internet is different from 49%, which was the percentage in the year 2000? 4 S Construct a 95% confidence interval estimate of the percentage of adults in the country who do not use the Internet.
95 percent certainty that the actual percentage of adults who do not use the Internet in the country is between 12.99 and 17.09 percent.
What is a probability distribution used for?Probability distributions are widely used to define confidence intervals and to calculate critical regions (eg p-value) for hypothesis testing. It is used in many fields aspiring to informatics.
We can use the following formula to construct a 95% confidence interval estimate for the percentage of adults in countries who do not use the Internet:
CI = p ± z*(√.(p×(1-p)/n))
where:
p = Proportion of non-Internet adults in the sample
n = sample size
z = z-scores corresponding to the confidence level (95% in this case)
Combining the values, we get:
p = 752/5000 = 0.1504
n = 5000
z = 1.96 (95% confidence level)
CI = 0.1504 ± 1.96* (√(0.1504*(1-0.1504)/5000))
CI = 0.1299 - 0.1709
Thus, we can say with 95 percent certainty that the actual percentage of adults who do not use the Internet in the country is between 12.99 and 17.09 percent.
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using the rule of 78 find the amount of unearned interest with finance charge 747 total payments 24 with remaining number of payments, when paid in full 8
If the loan is paid off in full after 8 remaining payments, the borrower is entitled to a refund of $218.87 of the finance charge.
The rule of 78:The Rule of 78 is a method used by lenders to calculate how much of the finance charge on a loan should be refunded to the borrower if the loan is paid off early.
Formula to calculate the portion of the finance charge that has been earned by the lender so far. The formula is:
[ n / (n(n+1)/2) ] × I
Where n is the total number of payments in the loan and I is the finance charge.
Here we have
The finance charge = 747
Total payments = 24
First, Add up the number of payments made so far and the remaining number of payments to get the total number of payments in the loan:
=> 24 + 8 = 32.
Using the formula (n / (n(n+1)/2)) x I
[ 32 / (32(32+1)/2) ] x 747 = 0.707 x 747 = 528.13
This implies the lender has earned $528.13 of the finance charge so far.
Subtract the amount earned by the lender so far from the total finance charge to find the amount of unearned interest:
=> 747 - 528.13 = 218.87
Therefore,
If the loan is paid off in full after 8 remaining payments, the borrower is entitled to a refund of $218.87 of the finance charge.
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11 points used on this question
Answer:
Six of the plants grew to a full height of 16 to 17 inches.
Step-by-step explanation:
There are 12 inches in 1 foot. Whics proportion can you use to find the number of inches in 8 feet
Answer:
D
Step-by-step explanation:
Hope this helps
tom buys a condominium for $42,600. he makes a down payment of 15%. what is the amount of the down payment?
Answer:
The down payment of $42,600 at 15% would be $6,390.
Can someone help me with this I’ve been stuck
Answer:
The answer is (x+2) + (y-2)=2²
(-2,2)
Step-by-step explanation:
x= -2,y=2
(x-h) + (y-k)=R²
C(h,k)
where C is Centre
x+2=0,y-2=2²
(x+2)² + (y-2)²= 2²
A 3-cup bottle of shampoo costs $18.96. What is the price per fluid ounce?
The price per fluid ounce of tthe shampoo is $0.79 per fluid ounce
What is the price per fluid ounce?From the question, we have the following parameters that can be used in our computation:
A 3-cup bottle of shampoo costs $18.96.
This means that
Cost = $18.96.
Size = 3-cup
So, we have
Unit rate = $18.96/3
Convert to fluid ounce
Unit rate = $18.96/24
Evaluate
Unit rate = $0.79
Hence the unit rate is $0.79 per fluid ounce
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Selected operating data for two divisions of Outback Brewing, Ltd., of Australia are given below: Division
Queensland New South Wales
Sales-$1,711,000 $2,832,000
Average operating assets -$590,000 $590,000
Net operating income -$102,660 $113,280
Property, plant, and equipment (net)-$259,000 $209,000
Required:
1. Compute the rate of return for each division using the return on investment (ROI) formula stated in terms of margin and turnover.
2. Which divisional manager seems to be doing the better job?
Required 1 Required 2
Which divisional manager seems to be doing the better job?
OQueensland division
Complete this question by entering your answers in the tabs below.
1) 19.2% is the rate of return for each division.
2) The New South Wales divisional manager seems to be doing a better job.
1) How to compute the rate of return for each division?
To compute the rate of return for each division using the return on investment (ROI) formula stated in terms of margin and turnover, we can use the following formula:
ROI = Margin × Turnover
Where Margin = Net operating income / Sales and Turnover = Sales / Average operating assets.
a. Queensland division:
Margin = -$102,660 / $1,711,000 = -0.06
Turnover = $1,711,000 / -$590,000 = -2.90
ROI = -0.06 × (-2.90) = 0.174 or 17.4%
b. New South Wales division:
Margin = $113,280 / $2,832,000 = 0.04
Turnover = $2,832,000 / $590,000 = 4.80
ROI = 0.04 × 4.80 = 0.192 or 19.2%
2) The New South Wales divisional manager seems to be doing a better job based on given ROI as the ROI of the New South Wales division is higher than which of the Queensl and division.
The New South Wales division generated a 19.2% return on investment.
The Queensland division generated a 17.4% return on investment.
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A civil engineer tendered for two independent contracts, and . The probabilities that he will win the contract is 1 and not win
2
contract is 3 . What is the probability that he will win: 10
(i) both contracts;
(ii) exactly one of the contracts;
(iii) neither of the contracts?
Note that the probabilities that the engineer will win:
Both contracts is 1/6exactly one of the contracts is 1/2Neither of the contracts is 1/3.Let's denote the even of winning a contract as W and the event of not winning a contract as NW.
Thus, where we have:
P(W1) =1/2
P (NW1) = 1 - P(W1) = 1-1/2 1/2
P(W2) = 1/3
P(NW2) = 1-P(W2) = 1-1/3 = 2/3
1) To win both contracts, engineer need to have won contracts 1 and 2. Thus,
P(W1 and W2) = P(W1) *P(W2) = (1/2) * (1/3) = 1/6
2) To win only one contract, the engineer can either win contract 1 or contract 2 or vice versa.
Because they are independence,
P((W1 AND NW2) or (NW1 and W2)) = P(W1 AND NW2) + P(NW1 and W2)
= P(W1) * P(NW2) + P(NW1 * P(W2)
= (1/2) * (2/3) + (1/2) * (1/3)
= 1/2
3) With regard to the contractor winning neighter 1 or 2:
P(NW1 and NW2) = P(NW1) * P(NW2) = (1/2) * (2/3) = 1/3
Hence, it is correct to state that:
that the probabilities that the engineer will win:
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Zuza has a cube with each face painted a different color and wants to number the faces from 1 to 6, so that each pair of nonadjacent faces sums to 7. In how many different ways can such a numbering be done?
Answer:
Let's assume that the colors on the cube are numbered as follows:
Red
Blue
Green
Yellow
Purple
Orange
Without loss of generality, we can assume that the face numbered 1 is painted red. We can then use the following table to determine the colors of the other faces:
Face Number Color Opposite Face Number Opposite Color
1 Red 6 Orange
2 Blue 5 Purple
3 Green 4 Yellow
4 Yellow 3 Green
5 Purple 2 Blue
6 Orange 1 Red
We can start by choosing the color for face number 2, which must be one of the colors opposite to red (i.e., purple, green, or yellow). Let's say we choose purple. Then, the color for face number 5 must be one of the colors opposite to blue (i.e., green or yellow). Let's say we choose green. Then, the color for face number 3 must be one of the colors opposite to yellow (i.e., purple or orange). Let's say we choose orange. Now, the remaining three colors must be the ones that have not been used yet, which are blue, green, and yellow. We can then assign them to faces 4, 6, and 1, respectively.
Therefore, the numbering of the faces is as follows:
Face Number Color
1 Yellow
2 Purple
3 Orange
4 Green
5 Green
6 Blue
Note that we could have started by choosing green for face number 2 instead of purple, which would have led to a different numbering. However, we would have ended up with the same set of six colors.
In general, there are 3 choices for the color of face number 2, 2 choices for the color of face number 5, and 2 choices for the color of face number 3. After those choices are made, there is only one way to assign the remaining three colors to the remaining three faces. Therefore, there are:
3 x 2 x 2 x 1 = 12
different ways to number the faces of the cube as described in the problem.
Step-by-step explanation:
please leave thanks
A scientist studies a population of squirrels in a certain region for several years. There are initially 24 squirrels and the squirrel population doubles every year.
Which function best represents the number of squirrels in the region at the end of x years? Justify your answer.
In our example 2 by 2 contingency table of Survival at 5 years (yes or no) by Age at Diagnosis ( =age 50), the data cell counts are presented as follows: under survival “yes” and age <50 cell count= 37, under survival “yes” and age >=50 cell count= 55, under survival “no” age <50 cell count=14, under survival “no” age >=50 cell count=75. What is the overall calculated Chi-sq value?
In our example 2 by 2 contingency table of Survival at 5 years (yes or no) by Age at Diagnosis the overall calculated Chi-sq value is 6.10 as per the given frequencies.
We can use the formula for Chi-sq:
Chi-sq = Σ [tex](O - E)^2 / E[/tex]
Where O = observed frequency and E = expected frequency.
Row totals: 92, 89, 181
Column totals: 51, 130, 181
Grand total: 181
Expected frequency for cell (1,1) = (9251) / 181 = 25.91
Expected frequency for cell (1,2) = (92130) / 181 = 66.09
Expected frequency for cell (2,1) = (8951) / 181 = 25.09
Expected frequency for cell (2,2) = (89130) / 181 = 63.91
Using the formula and plugging in the observed and expected frequencies, we get:
Chi-sq = [tex][(37-25.91)^2 / 25.91] + [(55-66.09)^2 / 66.09] + [(14-25.09)^2 / 25.09] + [(75-63.91)^2 / 63.91][/tex]
Chi-sq = 6.10
Therefore, the overall calculated Chi-sq value is 6.10.
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Maria earned €600 each week. She spent 1/4 of her money on food. How much did she earn in 4 weeks?
Answer:
Maria earned €600 each week, and she spent 1/4 of her money on food.
So, Maria spent:
(1/4) * €600 = €150 on food each week.
To find how much she earned in 4 weeks, we can simply multiply her weekly earnings by 4:
€600/week * 4 weeks = €2400
Therefore, Maria earned €2400 in 4 weeks.
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coin toss is heads?
Write your answer as a fraction in simplest form.
Lucy has an unpaid balance of $700 on her credit card. The credit card company requires a minimum payment of 3% and charges an annual interest rate of 27%. Calculate Lucy's minimum payment, the amount of interest paid that month, and her unpaid balance. Round each to the nearest cent.
Lucy's new unpaid balance is $694.28 to the nearest cent.
Lucy's minimum payment can be calculated by multiplying her unpaid balance by the minimum payment percentage:
Minimum payment = 3% of $700 = 0.03 x $700 = $21
So, Lucy's minimum payment for the month is evaluated at $21.
As per the given information,
Monthly interest rate = 27% / 12 = 0.0225 / month
The interest charged for the month is then calculated by multiplying the monthly interest rate by the unpaid balance:
Interest charged for the month = 0.0225 x $700 = $15.75
So, Lucy will be charged $15.75 in interest for the month.
Finally, we can calculate Lucy's new unpaid balance after making the minimum payment and paying the interest charged for the month. This is given by:
Unpaid balance = (unpaid balance - minimum payment) x (1 + monthly interest rate)
Unpaid balance = ($700 - $21) x (1 + 0.0225) = $694.2775
Therefore, Lucy's new unpaid balance is $694.28.
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A rectangle has a width of 4 units and a length of m units. What is the area (A = L x W) of the rectangle if m is:
2.2 units? A = ?answer square units.
Answer:
Answer: The area of rectangle is 4*m square unit.
Step-by-step explanation:
The organizers of African Maths rewarded three of her most outstanding students 40% of the revenue generated from sponsors. If the first and second runners up got 35% and 25% respectively, how much was generated from sponsors if the best student got N400,000? 2 points
The total revenue generated from sponsors that was rewarded by the organizers of African Mathematics to three of her most outstanding students is 2500000 (in monetary units) by formulating linear equation.
The organizers of African Mathematics rewarded three of her most outstanding students 40% of the revenue generated from sponsors.
Let us say the total revenue generated from sponsors be x (monetary units).
Thus, total of (2/5)x (in monetary units) was rewarded by forming equation.
It is given that the first and second runners up got 35% and 25% of the revenue generated respectively and also the best student got 400,000 (monetary units).
Formulating a linear equation for the given problem we get,
40 % of x = 400000 + (35 % of (2/5)x) + ( 25% of (2/5)x) (in monetary units)
⇒(40/100) x = 400000 + (35/100)(2/5)x + (25/100)(2/5)x (in monetary units)
⇒ (40/100)x - [ (14/100)x + (10/100)x] = 400000 (in monetary units)
⇒ [tex]\frac{40x - 14x - 10x}{100} = 400000[/tex] (in monetary units)
⇒ (16/100)x = 400000 (in monetary units)
⇒ x = 2500000 (in monetary units)
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i need help with #12 please help me
The analysis phase of decision making includes
The following actions are often part of the decision-making process' analysis phase:
Describe the issue: Set explicit goals and objectives for the decision-making process and identify the specific issue that has to be solved.Information gathering: To assist in the decision-making process, gather pertinent facts and information from dependable sources.Evaluate the data: Go over the information to spot trends, correlations, and patterns that may shed light on the issue.Find alternatives: Come up with a number of possible fixes or courses of action that might take care of the issue.Alternatives should be evaluated by weighing their benefits and drawbacks in light of factors including viability, cost, impact, and efficacy.Decide on a strategy: Based on your investigation and evaluation of the choices, choose the best one.Learn more about decision-making here:
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Evaluate
Find (f + g) (4) given f(x) = x - 1 and g(x) = x + 2.
Answer:
If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .
Step-by-step explanation:
You need to cordon off a rectangular crime scene with tape around
the edge to allow investigators to work. The rectangle measures 34
feet by 20 feet.
b. You also need to have the canine unit sniff the scene for drugs. The drug-sniffing dog needs about 6 seconds for each square foot of area. The Canine Unit that was sent to the scene needs to leave in an hour. Will the canine unit be able to complete the task in time?
You are offered a job that pays $34,000 during the first year, with an annual increase of 5% per year beginning in the second year. That is, beginning in year 2, your salary will be 1.05 times what it was in the previous year. What can you expect to earn in your fourth year on the job?
In your fourth year on the job, you can expect to earn $______
(Round to the nearest dollar)
In your fourth year on the job, you can expect to earn $41,327.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =P(1+r/n)^rt
We are given that;
In this case, P = 34,000, r = 0.05, and n = 4.
Plugging these values into the formula, we get:
A = 34,000(1 + 0.05)^4
A = 34,000(1.05)^4
A = 34,000(1.2155)
A = 41,327
Therefore, by the simple interest the answer will be $41,327.
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Find the area of the circle. Use 3.14 for π. Round to the nearest whole number.
A
50 ft2
B
25 ft2
C
804 ft2
D
201 ft2
The area of the circle rounded to the nearest whole number is A 50 ft²
We see that the diameter of the circle in diagram is 8 feet. The area of the circle is calculated by the formula -
Area = πr², where r is the radius of the circle. Now, we know that radius is half the diameter. Thus, radius = 8/2
Divide the value
Radius of circle = 4 feet
The area of circle = 3.14 × 4²
Take square and multiply the value on Right Hand Side of the equation
Area of circle = 50.24 square feet
Rounding the number to the nearest whole number, we get 50 square feet
Hence, the area of the circle is A 50 ft².
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The question is attached in figure.
Use linear approximation, i.e. the tangent line, to approximate
and find the equation of the tangent line……
Using the tangent line to f(x) at x=1, the linear approximation of 1/1.001 is approximately equal to 0.999.
What is linear approximation?Linear approximation is a method used in calculus to approximate the value of a function near a given point by using the tangent line to the function at that point. The tangent line is a straight line that "touches" the function at the given point and has the same slope as the function at that point. By using the equation of the tangent line, we can approximate the value of the function for values of x that are very close to the given point. Linear approximation is useful for estimating values of complicated functions that are difficult or impossible to calculate directly.
In the given question,
To find the equation of the tangent line to f(x) at a point near 1.001, we first need to find the derivative of f(x):
f(x) = 1/x
f'(x) = -1/x²
Now, let's choose a "nice" point near 1.001, such as x = 1. We can find the equation of the tangent line to f(x) at x = 1 using the point-slope form:
y - f(1) = f'(1)(x - 1)
Substituting in the values for f(1) and f'(1):
y - 1 = (-1/1²)(x - 1)
y - 1 = -x + 1
y = -x + 2
This is the equation of the tangent line to f(x) at x = 1.
To approximate 1/1.001 using this tangent line, we plug in x = 1.001 and solve for y:
y = -x + 2
y = -(1.001) + 2
y = 0.999
Therefore, using the linear approximation, 1/1.001 is approximately equal to 0.999.
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on an assignment there are two multiple-choice questions is four answer choices each do you have no idea what the correct answer is to either one so you guess what is the probability that you get both of them right but guessing explain your answer
The probability that you get both of them right but guessing is 1/16 or 6.25%.
The likelihood of getting both multiple-choice questions right when speculating can be calculated by increasing the likelihood of getting each address right together. Since there are four reply choices for each address.
The likelihood of speculating the proper reply for one address is 1/4. In this manner, the likelihood of getting both questions right is (1/4) x (1/4) = 1/16 or 6.25%.
This implies that in case you were to guess randomly on both questions, there's as it were a 6.25% chance that you just would get both of them right.
This illustrates that speculating isn't a solid strategy for replying to multiple-choice questions and it is superior to utilize information and thinking to create educated choices.
Hence, the likelihood of speculating both questions accurately is (1/4) x (1/4) = 1/16. In other words, there's a 1 in 16 chance of getting both questions right fair by speculating.
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shawn deposits $100 every year into a savings account that pays interest at a rate of 3.5% per year, compounded annually. How much money will there be in his account at the end of 2 years
A-214.25
B-210.62
C-207
D-270
There will be $210.62 in Shawn's savings account at the end of 2 years, hence, option B is correct.
Using the compound interest formula,
A = P(1 + r)ⁿ where amount of money is A in the account after n years, principal (initial deposit) is P, interest rate per year (as a decimal) is r, and number of years is n. In this case, P = $100, r = 0.035, and n = 2. Plugging these values into the formula, we get,
A = $100(1 + 0.035)²
A = $100(1.072225)
A = $107.22
Therefore, Shawn will have $107.22 in his account at the end of 2 years, which is closest to option B-210.62 (if we assume the deposit is made at the end of each year).
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