Answers
Related Questions
I need help on this problem step by step:) It would help me a lot
Answers
Answer:
8x+7
Step-by-step explanation:
follow through the step by step, I will post a proof if you want.
The diameter of a sphere is 4 centimeters, which represents the volume of the sphere?
Answers
Answer:
10 2/3π or 33.51
Step-by-step explanation:
the volume of a sphere is 4/3πr^3
if the sphere has a diameter of 4 the radius is half the diameter so it would be 2. 2^3 = 8 now multiply 8 by 4/3 to get 10 2/3. now multiply by pi to get 10 2/3 π or 33.5103 which rounds to 33.51
Answer:
32π/3 cubic cm
Step-by-step explanation:
Paolo is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and slice of costs $2.00.Let E be the amount in dollars that Paolo spends on salad and pizza. If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation _____.Now rearrange the equation you wrote above so that P is written in terms of E and S. The quantity of pizza he buys can be represented by the equation _____.Suppose Paolo has $40.00 to spend on salad and pizza; that is E = $40.00Complete the following table with values of S or P that make the equation true.To complete the first row, determine the number of pizza slices Paolo can purchase with $40.00, when the number of salad bowls he purchases is 0.Budget (Dollars) Salad (Bowls) Pizza (Slice)40.00 0 _____40.00 4 _____40.00 _____ 0
Answers
Answer:
E=5S+2PP=0.5(E-5S)[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|[/tex]
Step-by-step explanation:
Cost of a bowl of salad = $5.00
Cost of a slice of pizza = $2.00
If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:
E=5S+2PNext, we make P the subject of the equation above.
2P=E-5S
[tex]P=\dfrac{E-5S}{2} \\P=0.5(E-5S)[/tex]
Therefore, The quantity of pizza he buys can be represented by the equation:
P=0.5(E-5S)When E=$40, we are required to complete the table below.
[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|[/tex]
When S=0, E=$40
From P=0.5(E-5S)
P=0.5(40-5(0))=20
When S=4, E=$40
P=0.5(40-5(4))
=0.5(40-20)
=0.5*20
=10
When P=0, E=$40
P=0.5(E-5S)
0=0.5(40-5S)
40-5S=0
5S=40
S=8
Therefore, the completed table is:
[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|[/tex]
A restaurant borrows from a local bank for months. The local bank charges simple interest at an annual rate of for this loan. Assume each month is of a year. Answer each part below.Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.
(a) Find the interest that will be owed after 4 months
(b) Assuming the restaurant doesn't make any payments, find the amount owed after 4 months
Answers
Complete Question:
A restaurant borrows $16,100 from a local bank for 4 months. The local bank charges simple interest at an annual rate of 2.45% for this loan. Assume each month is 1/12 of a year.
Answer each part below.Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.
(a) Find the interest that will be owed after 4 months
(b) Assuming the restaurant doesn't make any payments, find the amount owed after 4 months
Answer:
a) Interest that will be owed after 4 months , I = $131.48
b) Amount owed by the restaurant after 4 months = $16231.48
Step-by-step explanation:
Note that the question instructs not to round any intermediate computations except the final answer.
Annual rate = 2.45%
Monthly rate, [tex]R = \frac{2.45\%}{12}[/tex]
R = 0.20416666666%
Time, T = 4 months
Interest, [tex]I = \frac{PRT}{100}[/tex]
[tex]I = \frac{16100 * 0.20416666666 * 4}{100} \\I = 161 * 0.20416666666 * 4\\I = \$131.483333333\\I = \$131.48[/tex]
b) If the restaurant doesn't make any payments, that means after four months, they will be owing both the capital and the interest ( i.e the amount)
Amount owed by the restaurant after 4 months = (Amount borrowed + Interest)
Amount owed by the restaurant after 4 months = 16100 + 131.48
Amount owed by the restaurant after 4 months = $16231.48
How long is line UW?
Answers
Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.
A sequence is defined recursively using the formula . If the first term of the sequence is 120, what is f(5)? −15 −7.5 7.5 15
Answers
Answer:
C. 7.5
Step-by-step explanation:
I took the quiz on EDGE
If the first term of the sequence is 120, then f(5) will be 7.5
What is recursively sequence?In mathematics and theoretical computer science, a constant-recursive sequence is an infinite sequence of numbers satisfying a linear recurrence relation: each number in the sequence is equal to a fixed linear combination of one or more of its immediate predecessors. A recursive sequence is a sequence of numbers formed by using previous terms to find the next terms, such as the Fibonacci sequence.How to solve this problem?The steps are as follow:
From the given conditions We knew the sequence is defined by the formula f(n + 1) = - 0.5f(n) and we know f(1) = 120So f(1 + 1) = f(2) = - 0.5f(1) = - 0.5 * 120 = f(2) = - 60Then f(2+1) = f(3) = -0,5 f(2) = -0,5x-60 f(3)=30f(3 + 1) = f(4) = - 0.5f(3) = - 0.5 * 30 = f(4)= -15f(4 + 1) = f(5) = - 0.5f(4) = - 0.5x - 15 = f(5) = 7.5So, f(5) = 7.5So if the first term of the sequence is 120, then f(5) will be 7.5
Learn more about recursively sequence here:
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A newspaper report says that a company made £700’000 profit last year. It’s says this was 12% more than the year before. How much profit did the company make the year before
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Answer: £625,000
Step-by-step explanation:
Previous year's profit can be calculated as:
700000 / 1.12 = 625000
The profit that should make a year before should be £625,000.
Given that
The profit made last year should be £700,000.And, there is 12% more than the year before.So the profit that should make a year before should be
[tex]= \frac{700,000}{(1 + 0.12)} \\\\= \frac{700,000}{(1.12)}[/tex]
= £625,000
Therefore we can conclude that The profit that should make a year before should be £625,000.
Learn more about the profit here: brainly.com/question/9281343
All applicants for admission to graduate study in business are given a standardized test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of applicants would you expect to have scores of 600 or above
Answers
Answer:
The probability that applicants would you expect to have scores of 600 or above = 0.0401 or 4%
Step-by-step explanation:
Explanation:-
Let "x" Scores are normally distributed
Given mean of the Population = 460
standard deviation of the population = 80
Let X = 600
[tex]Z = \frac{x -mean}{S.D} = \frac{600-460}{80} =1.75[/tex]
The probability that applicants would you expect to have scores of 600 or above
P( X≥600) = P( Z≥ 1.75)
= 1- P( Z≤1.75)
= 1- ( 0.5 + A(1.75)
= 1- 0.5 - A(1.75)
= 0.5 - 0.4599 (from Normal table)
= 0.0401
The probability that applicants would you expect to have scores of 600 or above = 0.0401 or 4%
A survey was conducted among people who visit swimming pools. 209 people were asked about the preferences in water sanitizing. 112 respondents reported they prefer pools with mechanical methods of water sanitizing, and 97 respondents reported they do not have any preferences. Construct a test for a difference in proportions for this survey to find out if the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences, if it is possible. A :
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Answer:
The claim that needs to be tested is that the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences. This can be expressed as the population proportion of people who prefer mechanical methods of water sanitizing is significantly higher than 0.5.
This is a hypothesis test for a population proportion.
The test will have null and alternative hypothesis:
[tex]H_0: \pi=0.5\\\\H_a:\pi>0.5[/tex]
Test statistic z = 0.972
P-value = 0.166
At a significance level of 0.05, there is not enough evidence to support the claim that the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences.
Step-by-step explanation:
We have to construct a hypothesis test for the population proportion. We need to test the claim that the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences.
As the survey is done as a yes/no question, the null hypothesis would state that the amount of people who prefer mechanical methods of water sanitizing is not significantly different from the proportion of people who have no sanitizing methods preferences. That can be expressed as the population proportion equals 0.5, so both proportions are equal.
The alternative hypothesis would state that the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences. This could be expressed as the population proportion significantly bigger than 0.5.
Then, the null and alternative hypothesis are written:
[tex]H_0: \pi=0.5\\\\H_a:\pi>0.5[/tex]
The significance level is assumed to be 0.05.
The sample has a size n=209.
The sample proportion is p=0.536.
[tex]p=X/n=112/209=0.536[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{209}}\\\\\\ \sigma_p=\sqrt{0.001196}=0.035[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.536-0.5-0.5/209}{0.035}=\dfrac{0.034}{0.035}=0.972[/tex]
This test is a right-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=P(z>0.972)=0.166[/tex]
As the P-value (0.166) is greater than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the proportion of people who prefer mechanical methods of water sanitizing truly exceeds the proportion of people who have no sanitizing methods preferences.
Based on his roommate’s behavior in other similar games, roommate A believes that there is a 0.28 probability that his roommate will choose rock and a 0.55 probability that his roommate will choose scissors. The probabilities are assigned using the . Suppose that roommate A’s probability assignments are correct. What can you say about P( PBPB ), the probability that roommate B chooses paper? Check all that apply. P( PBPB ) = 0.31 0 ≤ P( PBPB ) ≤ 0.1 P( PBPB ) = 0.17 1 ≤ P( PBPB ) ≤ 2 0 ≤ P( PBPB ) ≤ 1
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Answer:
[tex]0 \leq P( P_B) \leq 1[/tex]
[tex]P(P_B) = 0.17[/tex]
Step-by-step explanation:
From the given question:
The probabilities are assigned using the Subjective method.
Let the probability that his roommate will choose rock be [tex]P(R_B) = 0.28[/tex]
Let the probability that his roommate will choose scissors be [tex]P(S_B) = 0.55[/tex]
∴
[tex]P(R_B) + P(S_B) +P(P_B) = 1[/tex]
[tex]0.28+ 0.55 + P(P_B) =1[/tex]
[tex]0.83 + P(P_B) = 1[/tex]
[tex]P(P_B) = 1 - 0.83[/tex]
[tex]P(P_B) = 1 -0.83[/tex]
[tex]P(P_B) = 0.17[/tex]
So;
[tex]0 \leq P( P_B) \leq 1[/tex]
[tex]P(P_B) = 0.17[/tex]
Kong made a scale drawing of a fish tank.The tank which is 24 feet long in real life, is 12 inches long in the drawing. What scale did Kong use for the drawing? 1 inch = feet.
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Answer:
[tex]1\ inch = 2\ feet[/tex]
Step-by-step explanation:
Given:
[tex]Real\ tank\ measurement\ = 24\ feet[/tex]
[tex]Scale\ measurement\ = 12\ inches[/tex]
Required:
Scale Ratio.
To get the scale ratio, we simply divide the actual measurement by the scale measurement
This is done as follows:
[tex]Scale\ Ratio = \frac{Actual\ Measurement}{Scale\ Measurement}[/tex]
[tex]Scale\ Ratio\ = \frac{24\ feet}{12\ inches}[/tex]
[Divide numerator and denominator by 12]
[tex]Scale\ Ratio\ = \frac{2\ feet}{1\ inch}[/tex]
[Convert the above expression to ratio]
[tex]Scale\ Ratio = 2\ feet : 1\ inch[/tex]
The interpretation of this is that 1 inch on the scale measurement represent 2 feet on the actual measurements
The point (-7,1) when reflected across the origin maps onto
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Answer:
(7,-1)
Step-by-step explanation:
common rule for reflections across the origin; im guessing you meant a reflection across the line y=x since it goes through the origin too.
for this make sure to add this transformation:
(x,y) --> (-x,-y)
Preciso de ajudaa! Resolução também! - Considere as funções f e g tais que f(x)= x³+1 e g(x)= x-2 Determine: a)(fog)(0) b)(gof)(0) c)(fof)(1) d)(gog)(1)
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Answer:
(fog)(x) means that we have the function f(x) evaluated in the function g(x), or f(g(x)).
So, if f(x) = x^3 + 1 and g(x) = x - 2.
we have:
a) (fog)(0) = f(g(0)) = (0 - 2)^3 + 1 = -8 + 1 = -7
b) (gof)(0) = g(f(0)) = (0^3 + 1) - 2 = -1
c) (fof)(1) = f(f(1)) = (1^3 + 1)^3 + 1 = 2^3 + 1 = 8 + 1 = 9
d) (gog)(1) = g(g(1)) = (1 - 2) - 2 = -1 -2 = -3
A company establishes a fund of 120 from which it wants to pay an amount,C, to any of its 20 employees who achieve a high-performance level during the coming year. Each employee has a 2% chance of achieving a high-performance level during the coming year, independent of any other employee.
Determine the maximum value of C for which the probability is less than 1% that the fund will be inadequate to cover all payments for high performance.
Answers
Answer:
[tex]C=120/2=60[/tex]
Step by step Explanation'
To solve this problem, we will need to apply trial-and-error calculation with the binomial distribution, even though it appears like Central Limit Theorem but it's not.
For us to know the value of C , we will look for a minimum integer such that having 'n' number of high performance level of employee has the probability below 0.01.
Determine the maximum value of C, then the maximum value that C can have is 120/n
Let us represent X as the number of employees with high performance with a binomial distribution of
P =0.02( since the percentage of chance of achieving a high performance level is 2%)
n = 20 ( number of employees who achieve a high performance level)
The probability of X= 0 can be calculated
P( X= 0) = 0.98^n
[tex]P(X=0)=0.98^20[/tex]
[tex]P(X=0)=0.668[/tex]
[tex]P(X=1)=0.02*20*0.98^19[/tex]
[tex]P(X=1)=0.272[/tex]
[tex]P(X=2)=0.02^2*20*0.98^18[/tex]
[tex]P(X=2)=0.053[/tex]
Summation of P( X= 0)+ P( X= 1)+P( X= 2) will give us the value of 0.993 which is greater than 0.99( 1% that the fund will be inadequate to cover all payments for high performance.)
BUT the summation of P( X= 0)+ P( X= 1) will give the value of 0.94 which doesn't exceed the 0.99 value,
Therefore, the minimum value of integer in such a way that P(X >2) is less than 0.01 have n= 2
then the maximum value that C can have is 120/n
[tex]C=120/2=60[/tex]
If I use my debit card at the gas pump, I get a five-cent discount. Which of the following statements is
accurate?
(a) The absolute change in price is the same for all grades ofgas; the relative change in price for Regular (the cheapest) is the greatest.
(b) The absolute change in price is the same for all grades ofgas; the relative change in price for Premium (the most expensive) is the greatest.
(c) The relative change in price is the same for all grades ofgas; the absolute change in price for Regular (the cheapest) is the greatest.
(d) The relative change in price is the same for all grades of gas; the absolute change in price for Premium (the most expensive) is the greatest.
Answers
Answer:
(d) The relative change in price is the same for all grades of gas; the absolute change in price for premium (the most expensive) is the greatest.
Step-by-step explanation:
The debit card holders are offered discount if they use debit card for a payment. When the gas pump offers the discount the relative change in price is same. The banks offers discounts to its customers to encourage cashless payments.
At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot
shadow. How tall is the flagpole?
Answers
Answer:
30 feet
Step-by-step explanation:
I found the unit. So a 6 feet person casts a 2 foot shadow
I divided both numbers by 2
Therefore getting a 3 foot person casts a 1 foot shadow
If the flagpole casts a ten foot shadow I multiplied 10×1 and 30 ×1. Meaning that the 30 foot flagpole casts a 10 foot shadow
What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?
Answers
Answer:
Step-by-step explanation:
Answer:
its b on edge
Step-by-step explanation:
A teacher bought some bookmarks for her students. if she gave each students 3 bookmarks, she would have 21 bookmarks left. if she gave each students 5 bookmarks, she would be short of 53 bookmarks . How many students does the Teacher have?
Answers
Answer:
The teacher have 32 students.
Step-by-step explanation:
Firstly, 'if she gave each students 3 bookmarks, she would have 21 bookmarks left.' This means that 3x + 21 = amount of bookmarks available. Here the x is the number of students.
Then, 'if she gave each students 5 bookmarks, she would be short of 53 bookmarks.' This means that 5x - 53 = amount of bookmarks avalable.
Since both equations all equal to the same quantity, then we know that:
3x + 21 = 5x - 53
Finally, we just need to rearrange the equation to make x the subject.
3x + 21 = 5x - 53
3x = 5x - 53 - 21
3x = 5x - 74
3x - 5x = - 74
- 2x = - 74
- 2x ÷ -2 = - 74 ÷ -2
x = 37
Then, just to make sure, we put the number of students into the equations.
3x + 21 = 5x - 53
3 × 37 + 21= 5 × 37 - 53
111 + 21 = 185 - 53
132 = 132
This means that x does equal to 37.
Find f(-11/5) if f(n) = 5n + 6
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Answer:
f(-11/5) = -5
Step-by-step explanation:
f(n) = 5n + 6
Let x = -11/5
f(-11/5) = 5*-11/5 +6
= -11 +6
= -5
HELP PLZ!! I NEED HELP!
Answers
Answer:
yes£18Step-by-step explanation:
The amount Lila and Wassim plan to save is ...
(£13 +13)(9) = £234
__
The charges they expect to incur are a per-person charge and a tent pitch charge. Since they expect to stay 10 nights, the special rate means they will only be charged for 8 nights.
per-person charge
per-person-per-night charge = (2 persons)(8 nights)(£6 per person-night)
= £96
tent pitch charge
To determine the tent pitch area required, we need to find the area of the tent:
A = LW = (4.2 m)(2.3 m) = 9.66 m²
This is less than 10 square meters, so we can expect the pitch charge to be £15 per night for 8 nights.
tent pitch charge = (£15/night)(8 nights) = £120
So, the total of camp site charges is expected to be ...
person charge + pitch charge = £96 +120 = £216
__
The expected savings exceeds the expected charges by ...
£234 -216 = £18
Lila and Wassim will have enough saved, with £18 extra.
What is the solution for this inequality? 5x ≤ 45
A. x ≥ -9
B. x ≤ 9
C. x ≤ -9
D. x ≥ 9
Answers
Answer:
[tex]x\le \:9[/tex]
Step-by-step explanation:
[tex]5x\le 45[/tex]
[tex]\frac{5x}{5}\le \frac{45}{5}[/tex]
[tex]x\le \:9[/tex]
Answer:
B
Step-by-step explanation:
We divide the entire inequality by 5 to get rid of the coefficient of x. The ≤ stays the same so we get x ≤ 9.
A random sample of n observations is selected from a normal population to test the null hypothesis that muμequals=10. Specify the rejection region for each of the following combinations of HSubscript aa, alphaα, and n. a. HSubscript aa: muμnot equals≠10; alphaαequals=0.010.01; nequals=1313 b. HSubscript aa: muμgreater than>10; alphaαequals=0.100.10; nequals=2323 c. HSubscript aa: muμgreater than>10; alphaαequals=0.050.05; nequals=99 d. HSubscript aa: muμless than<10; alphaαequals=0.100.10; nequals=1111 e. HSubscript aa: muμnot equals≠10; alphaα equals=0.050.05; nequals=2020 f. HSubscript aa: muμless than<10; alphaαequals=0.010.01; nequals=77 a. Select the correct choice below and fill in the answer box within your choice.
Answers
Answer:
Step-by-step explanation:
a) H0: μ = 10
Ha: μ ≠ 10
This is a two tailed test
n = 13
Since α = 0.01, the critical value is determined from the t distribution table. Recall that this is a two tailed test. Therefore, we would find the critical value corresponding to 1 - α/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t 1 - α/2 from the table.
1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995
The critical value is 3.012
The rejection region is area > 3.012
b) Ha: μ > 10
This is a right tailed test
n = 23
α = 0.1
We would reject the null hypothesis if the test statistic is greater than the table value of 1 - α
1 - α = 1 - 0.1 = 0.9
The critical value is 1.319
The rejection region is area > 1.319
c) Ha: μ > 10
This is a right tailed test
n = 99
α = 0.05
We would reject the null hypothesis if the test statistic is greater than the table value of 1 - α
1 - α = 1 - 0.05 = 0.95
The critical value is 1.66
The rejection region is area > 1.66
d) Ha: μ < 10
This is a left tailed test
n = 11
α = 0.1
We would reject the null hypothesis if the test statistic is lesser than the table value of 1 - α
1 - α = 1 - 0.1 = 0.9
The critical value is 1.363
The rejection region is area < 1.363
e) H0: μ = 10
Ha: μ ≠ 10
This is a two tailed test
n = 20
Since α = 0.05, we would find the critical value corresponding to 1 - α/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t 1 - α/2 from the table.
1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975
The critical value is 2.086
The rejection region is area > 2.086
f) Ha: μ < 10
This is a left tailed test
n = 77
α = 0.01
We would reject the null hypothesis if the test statistic is lesser than the table value of 1 - α
1 - α = 1 - 0.01 = 0.99
The critical value is 2.376
The rejection region is area < 2.376
f(x)={(x^(2)+4 x 1):}
Answers
Answer:
Substitute the given value into the function and evaluate:
f(x)=6x
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A compny provides curtains at the rate of Rs.50 per
square feet measure all doors and windows of your
home and determine the expenditure for all the doors
and windows required for your home
Answers
Answer:
Total cost for curtains = Rs.3,700
Step-by-step explanation:
Assume we have:
1 Door ( l = 8ft, b=4ft)
3 Windows (l = 4t, b = 3.5ft)
Curtains at the rate of Rs.50 per ft²
Find:
Total cost for curtains.
Computation:
Area of door = (8)(4)
Area of door = 32 ft²
Area of 3 windows = (3)(4)(3.5)
Area of 3 windows = 42 ft²
Total ares = Area of door + Area of 3 windows
Total ares = 32 ft² + 42 ft²
Total ares = 74 ft²
Total cost for curtains = Rs.50 × Total ares
Total cost for curtains = Rs.50 × 74 ft²
Total cost for curtains = Rs.3,700
The next 3 options are:
A: x=1 or x= -3
A: x= -1 or x=3
B: Since the quadratic equation has two real solutions, the graph of the quadratic equation intercepts the x axis at (-1,0) and (3,0)
please please help. Thank you so much.
Answers
Answer:
A: x= -1 or x=3
B: Since the quadratic equation has two real solutions, the graph of the quadratic equation intercepts the x axis at (-1,0) and (3,0)
Step-by-step explanation:
x^2 -2x -3 =0
Factor
(x-3 )(x+1) =0
Using the zero product property
x-3 =0 x+1 =0
x=3 x=-1
The zeros are
(3,0) (-1,0)
It intersects the x axis at (3,0) (-1,0)
Find the quotient. (12x 2 - 13x - 4) ÷ (4x + 1)
Answers
Answer:
3x-4
Step-by-step explanation:
[tex](12x^2-13x-4)\div(4x+1)= \\\\(3x-4)(4x+1)\div (4x+1)= \\\\3x-4[/tex]
Hope this helps!
I won 5 tickets to the Red Sox. I have 9 friends but I can only bring 4 of them. In how many ways can I form team?
Answers
Answer:
189
Step-by-step explanation:
9 choose 4 = (9 x 8 x 7 x 6 )/(4 x 3 x 2 x 1)=189
:D 189 ways
Answer:189
Step-by-step explanation:
Consider the next 1000 98% CIs for μ that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of μ?
Answers
Answer:
980 intervals.
Step-by-step explanation:
For each interval, there are only two possible outcomes. Either it captures the population mean, or it does not. One interval is independent of other intervals. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
98% confidence interval
Has a 98% probability of capturing the population mean, so [tex]p = 0.98[/tex]
1000 intervals
This means that [tex]n = 1000[/tex]
How many of these 1000 intervals do you expect to capture the corresponding value of μ?
[tex]E(X) = np = 1000*0.98 = 980[/tex]
980 intervals.
Consider the following sets of sample data: A: 431, 447, 306, 413, 315, 432, 312, 387, 295, 327, 323, 296, 441, 312 B: $1.35, $1.82, $1.82, $2.72, $1.07, $1.86, $2.71, $2.61, $1.13, $1.20, $1.41 Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.
Answers
Answer:
Dataset A
We have the following results:
[tex] \bar X_A = 359.786[/tex]
[tex]s_A= 60.904[/tex]
[tex] CV_A = \frac{60.904}{359.786}= 0.169 \approx 0.2[/tex]
Dataset B
We have the following results:
[tex] \bar X_B = 1.791[/tex]
[tex]s_B= 0.635[/tex]
[tex] CV_B = \frac{0.635}{1.791}= 0.355 \approx 0.4[/tex]
Step-by-step explanation:
For this case we have the following info given:
A: 431, 447, 306, 413, 315, 432, 312, 387, 295, 327, 323, 296, 441, 312
B: $1.35, $1.82, $1.82, $2.72, $1.07, $1.86, $2.71, $2.61, $1.13, $1.20, $1.41
We need to remember that the coeffcient of variation is given by this formula:
[tex] CV= \frac{s}{\bar X}[/tex]
Where the sample mean is given by:
[tex] \bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]
And the sample deviation given by:
[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]
Dataset A
We have the following results:
[tex] \bar X_A = 359.786[/tex]
[tex]s_A= 60.904[/tex]
[tex] CV_A = \frac{60.904}{359.786}= 0.169 \approx 0.2[/tex]
Dataset B
We have the following results:
[tex] \bar X_B = 1.791[/tex]
[tex]s_B= 0.635[/tex]
[tex] CV_B = \frac{0.635}{1.791}= 0.355 \approx 0.4[/tex]
Marie plants 12 packages of vegetable seeds in a community garden. Each package costs $1.97. What is the total cost of the seeds?
Answers
Answer:
$23.64
Step-by-step explanation:
Each package of seeds cost $1.97, and Maire bought and planted 12 packages. You would do 12 x 1.97 to get 23.64
Answer:
$23.64
Step-by-step explanation:
$1.97 × 12
$23.64
Hope this helps...