The probability of both Nic and Tim winning the raffle at the same time is 1/100.
Probability is a mathematical measurement of a likelihood of an event to happen. Given that both Nic and Tim each purchase one raffle ticket out of 10 tickets and that there will be two winners selected, the odds of either Nic or Tim winning the raffle out of 10 ticket is 1/10.
Since the odds of either Nic or Tim winning the raffle ticket is 1 out of 10 or 1/10, we can then calculate the mathematical probability of two events occurring at the same time with a multiplication rule formula as follows:
1/10×1/10=1/100
Hence, the odds of both Nic and Tim winning at the same time is 1 out of 100 or 1/100.
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5. the chi-square test for goodness of fit - no difference from a known population suppose you are reading a study conducted in the year 2000 about welfare recipients in the united states. the authors report the following frequency data on the household size of the 1,844 welfare recipients in their random sample: observed frequencies household size 5-or-more-person 4-person 3-person 2-person 1-person 203 277 301 550 513 you wonder if welfare recipients tend to live in different-sized households than the us population at large. you obtain the following data from the 2000 census: percent distribution of us households by size household size 5-or-more-person 4-person 3-person 2-person 1-person 10.83% 14.20% 16.53% 32.63% 25.81% [source: hobbs f., & Stoops, N. (2002). Census 2000 special reports: Demographic trends in [Source: the 20th century. U.S. Census Bureau.] You use a chi-square test for goodness of fit to see how well the sample of welfare recipients fits the census data. What is the most appropriate null hypothesis? O The distribution of household sizes among welfare recipients is the same as that provided by the census data. The distribution of household sizes among welfare recipients is equal across the five household-size categories. O The distribution of household sizes among welfare recipients is different from that provided by the census data. O The distribution of household sizes among welfare recipients is not equal across the five household-size categories. Fill in the missing values in the following table indicating the expected frequencies in each category for a sample size of 1,844, if the null hypothesis is true: Expected Frequencies Household Size 5-or-more-person 4-person 3-person 2-person 1-person 475.94 304.81 601.70 The chi-square statistic has been calculated for you: x2 = 8.31. The distribution of the chi-square statistic has degrees of freedom. Use the following Distributions tool to find the critical value. Chi-Square Distribution Degrees of Freedom = 4 4 10 11 12 13 14 With the level of significance a = .01, the critical value is Because the chi-square statistic x2 is the critical value, you the null hypothesis. Therefore, you conclude that the proportions of welfare recipients in the five household-size categories differ from the corresponding proportions for all U.S. households.
The confidence interval for the given ANOVA test to calculate the average typing speed be, (144.83 , 155.17) and the margin of error of the poll be, ±5.17
On Subtracting 1 from your sample size, we get
150 – 1 = 149.
On Subtracting confidence level from 1, and then divide by two.
(1 – .95) / 2 = 0.025
Now, df = 149 and α = 0.025
from the table at df = 149 we got 2.262.
Divide your sample standard deviation by the square root of your sample size.
28 / √(150) = 2.28
Now, 2.262 × 2.28 = 5.17
So, the confidence interval be,
(150 - 5.17 , 150 + 5.17) = (144.83 , 155.17)
Hence, the confidence interval for the given ANOVA test to calculate the average typing speed be, (144.83 , 155.17) and the margin of error of the poll be, ±5.17
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Show your work 0.4(20-10m) = 2.5 -2m -12.5
Answer:
give the guy under me a brainlist lol
Step-by-step explanation:
help me with math pls im almost done with it for the week...................
The expression (5/3)x + (5/9)y is equivalent to the given expression. which is the correct answer would be an option (A).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question as:
(2/3)x - (4/9)y + x + y
Rearrange the terms in the above expression,
(2/3)x + x - (4/9)y + y
Combine the likewise terms,
(5/3)x + (5/9)y
Therefore, the expression (5/3)x + (5/9)y is equivalent to the given expression.
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An investment of $9,875 earns 4. 8% interest compounded monthly over 12 years. Approximately how much interest is earned on the investment?.
Using the compound interest formula, we know that $7,672 is the interest on investments earned.
What is compound interest?The yearly interest rate is raised to the number of compound periods minus one, and the starting principal amount is multiplied by both of these factors.
The resulting value is subsequently deducted from the loan's entire original amount.
So, interest earned on investment:
A = 9,875 (1 + 0.048/12)^ 12(12)
A = $ 15,547
Interest on investments is the money received:
= $ 15,547 - $ 9,875
= $ 7,672
Therefore, using the compound interest formula, we know that $7,672 is the interest on investments earned.
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Complete question:
An investment of $9,875 earns 4.8% interest compounded monthly over 12 years. approximately how much interest is earned on the investment?
a. $4,740
b. $7,458
c. $7,672
d. $17,567
a researcher writes down in a notebook the arrival times of different city buses at a bus stop during different weather conditions. which kind of study is this?
The times that buses arrive at bus stops in various cities and in various climates are noted by a researcher in a notebook. This study is an observational one. Here option D is the correct answer.
It is an observation because it involves systematically noting people's actions, things, and occurrences without engaging in conversation or other interactions. In observational studies, the impact of a risk factor, diagnostic test, therapy, or other intervention is observed without an attempt to alter who is or is not exposed to it.
Two categories of observational studies are cohort studies and case-control studies. It cannot be a single-blind experiment, nor can it be a double-blind experiment since it is not an experiment.
Single-blind refers to a subject or an assessor. When a study is double-blind, neither the patient nor the outcome evaluator is aware of who received the prescription. It is not a survey because it relies on interviews with a representative sample of people as the main way of gathering data.
Complete question:
A researcher writes down in a notebook the arrival times of different city buses at a bus stop during different weather conditions. Which kind of study is this?
A - observational
B - survey
C - single-blind experiment
D - double-blind experiment
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mrs.rockwell lost money on an investment at a rate of $4 per day. what is the change in her investment, due to the lost money, after 4 weeks?
The change in her investment, due to the lost money is $112
How to determine the amount of money lost to the investment?From the question, we have the following parameters that can be used in our solution:
Rate of loss = $4 per day
Duration = 4 weeks
From the above parameter, we can calculate the amount of money lost to the investment using:
Amount lost = Duration * Rate of loss
Substitute the known values in the above equation
So, we have the following equation
Amount = 4 weeks * $4
Convert weeks to days
Amount = 28 * $4
Evaluate the quotient
Amount = $112
Hence, the amount is $112
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a group of n people plays a game. each person puts their name on a slip of paper in a hat, and then picks a name randomly from the hat (without replacement). what is the standard ceviation of the number x of people who pick their own name (assume n≥2)?
Given that each individual has a [tex]\frac{1}{n}[/tex] chance of receiving their own name, we may indicate whether or not person I received their own name by using a sequence of n identically distributed Bernoulli random variables with
[tex]P=\frac{1}{n}[/tex] .
The total number of people who received their own name is the sum of these Bernoullis. The linearity of expectation causes the expected value of the sum to equal the sum of their respective expected values.
Since each summand has expected value [tex]\frac{1}{n}[/tex] and there are n of them, the expected value is one.
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let e1 be the event that the second coin comes up tails and e2 be the event that two, and not three, heads come up in a row. drag the probability values from the right column and drop them in the corresponding events of left column.
EVENT 1 has a probability value of 0.5.
EVENT 2 has a probability value of 0.5.
There is an equal chance of getting a HEAD or a TAIL when flipping a fair coin.
A coin has two faces: Head and Tail, and the total probability is always 1
1/2 = 0.5 is the likelihood of getting a head.
1/2 = 0.5 is the probability of receiving a tail.
When the coin is tossed for the first time, E1 is the event when TAIL comes up.
When the coin is tossed a second time, E2 represents the circumstance in which HEAD appears.
EVENT 1 has a probability value of 0.5.
EVENT 2 has a probability value of 0.5.
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When two pipes fill a pool together, they can finish in 4 hours. If one of the pipes fills half the pool then the other takes over and finishes filling the pool, it will take them 9 hours. How long will it take each pipe to fill the pool if it were working alone?
How many hours for one pipe to fill the pool? How many hours for the other pipe to fill the pool?
One pipe takes 6 hours to fill the pool and the other takes 12 hours.
Pipe A fills 1/x of the pool per hour, and Pipe B fills 1/y of the pool per hour. In other words, A takes x hours to fill the pool and B takes y hours to fill the pool.
Together, they fill 1/x + 1/y of the pool per hour. So, 4 hours times that rate should equal 1 full pool, since together they take 4 hours to fill the pool. That gives you your first equation:
4(1/x + 1/y) = 1
You're also told that if one pipe fills half the pool and the other takes over to fill the rest, it will take 9 hours. We don't know how long Pipe A works, so call that number of hours t. Pipe B must work for 9 - t hours.
So, Pipe A, working for t hours, fills half the pool:
t(1/x) = 1/2
And Pipe B, working for 9 - t hours, fills half the pool:
(9-t)(1/y) = 1/2
You now have a system of three equations (because this is an exceptionally complicated pipe-filling-pool problem):
4(1/x + 1/y) = 1
t(1/x) = 1/2
(9-t)(1/y) = 1/2
Solve for t in that second equation, then plug it into the third equation:
t(1/x) = 1/2
t = x(1/2)
t = x/2
(9 - x/2)(1/y) = 1/2
Now you've got a system of two equations:
4(1/x + 1/y) = 1
(9 - x/2)(1/y) = 1/2
Solve for y in the second equation, then plug that into the first equation:
(9 - x/2)(1/y) = 1/2
(9 - x/2) = y(1/2)
2(9 - x/2) = y
18 - x = y (this is a really nice-looking form of that equation; we'll use it again later)
4(1/x + 1/y) = 1
4(1/x + 1/(18-x)) = 1
4/x + 4/(18-x) = 1
(4(18-x))/(x(18-x)) + (4x)/(x(18-x)) = 1
(4(18-x) + 4x)/(x(18-x)) = 1
4(18-x) + 4x = x(18-x)
72 - 4x + 4x = 18x - x2
72 = 18x - x2
x2 - 18x + 72 = 0
(x - 6)(x - 12) = 0
x - 6 = 0 OR x - 12 = 0
x = 6 OR x = 12
So, Pipe A takes either x = 6 or x = 12 hours to fill the pool alone.
When Pipe A takes 6 hours to fill the pool, Pipe B takes 12. When Pipe A takes 12 hours to fill the pool, Pipe B takes 6.
These cases are equivalent, since the original problem makes no distinction between the pipes.
Hence, one pipe takes 6 hours to fill the pool and the other takes 12 hours.
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read the first five results and summarize the models they describe. choose one you find interesting, and determine how it is similar to the nist sp 800-100 model. how is it different?
Answer: Both the National Institute of Standards and Technology (NIST)
Step-by-step explanation:
what solution value does not satisfy the compound inequality x – 7 < 17 or –6x > 36? question 2 options: a) x
The solution of compound inequalities is -6 < x < 24.
A compound inequality is a sentence that contains two inequality statements connected by the words "or" or "and." The conjunction "and" denotes that both statements of the compound sentence are true at the same time. It is the intersection or overlap of the solution sets for the individual statements. "Or" indicates that the entire compound sentence is true if either statement is true. It is the union or combination of the solution sets for each individual statement. A conjunction is a compound inequality that contains the word "and."
Inequalities are expressions that do not have an equal sign between them.
Given,
X - 7<17or-6x>36
First,
x - 7 < 17
x < 17 + 7
x < 24
Similarly,
-6x >36
x < [tex]\frac{-36}{6}[/tex]
x < -6
Thus, compound inequality's solution is -6 < x < 24
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Graph each function and identify its domain, range, intercepts, asymptotes, and holes.
Thank you! :)
Answer: The domain is : (-∞,5)∪(5,∞)
there is no x intercepts
y-intercept= (0,-29/5)
asymptotes= x=5, no horizantal, oblique y=x-5
there is no holes
range= (-∞,-4]∪[4,∞)
Step-by-step explanation:
carols buys 3 gallons of juice for a party. What is greatest number of cups of juice he can Surve
Answer:
24
Step-by-step explanation:
the answer is 24 because 3 gallons can definitely do more then 16 it also depends on how much water the cups can hold.
Jack took Diane out to dinner to celebrate her birthday. The total bill for the dinner was $62.80. Jack wants to tip the waiter exactly 15%. How much will Jack tip the waiter?
The amount of the tip that Jack gave to the waiter will be $9.42.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Jack took Diane out to supper to praise her birthday. The all out bill for the supper was $62.80. Jack needs to tip the server precisely 15%.
The amount of the tip will be given as,
⇒ 15% of $62.8
⇒ 0.15 x $62.8
⇒ $9.42
The amount of the tip that Jack gave to the waiter will be $9.42.
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kennedy needs to order some new supplies for the restaurant where she works. the restaurant needs at least 512 spoons. there are currently 264 spoons. of each set on sale contains 6 spoons, what is the minimum number of sets of spoons kennedy should buy?
Kennedy needs purchase at least 42 sets of spoons.
Explain the term inequality of numbers?An algebraic expression with two values that are not equal is represented by an inequality. A sign of inequality can be used to show that one of the two variables is larger than, greater than or comparable to, less than, or equal to another value.The minimum set of spoons needed in the restaurant = 512 spoons.
Available spoons = 264.
Each set on the sale has 6 spoons.
Let the minimum number of spoon set required be 'x'.
Then,
6x + 264 ≥ 512
Solving the in equality.
6x ≥ 512 - 264
6x ≥ 248
x ≥ 248/6
x ≥ 41.33
Thus, Kennedy needs purchase at least 42 sets of spoons.
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the planning board members for a city are debating whether to build a new municipal parking garage. the parking garage would be funded by the revenue the city collects from its existing parking meters. since the board members insist that the parking garage cannot be funded by raising property taxes, the mean daily parking revenue collected must be greater than $1,200. a random sample of 35 days was selected, and the parking revenue collected in dollars was recorded. based on previous research, the board members assume that the population standard deviation is $196. the board conducts a one-mean hypothesis at the 1% significance level, to test whether the mean daily parking revenue is greater than $1,200.
The required hypothesis for the given data of the problem is
Null hypothesis H₀: μ=$1200 , n = 35
Alternate hypothesis Hₐ : μ > 145
What is tailed test?In statistics, a two-followed test is a technique wherein the basic region of a dissemination is two-sided and tests whether an example is more noteworthy or under a scope of values. It is utilized in invalid speculation endlessly testing for measurable importance.
According to question:We have,
the board members insist that the parking garage cannot be funded by raising property taxes, the mean daily parking revenue collected must be greater than $1,200
So, Null hypothesis H₀: μ=$1200 , n = 35
Then, Alternate hypothesis Hₐ : μ > 145
Standard deviation = $196
Thus, It is right tailed hypothesis.
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What is the range of this relation?
Kaleb deleted 20 songs from his MP3 player. If the ratio of songs he deleted to songs he
kept was 10:3, how many songs did he originally have on his MP3 player?
If he deleted 10 songs to every 3 he kept, then he originally had 26 songs
Can someone check this plsss
Given: Triangle ABC is isosceles with A as the vertex angle and segment AD bisects segment BC,
Prove: Segment AD bisects angle BAC.
Answer:
PAy Attention Triangle
Step-by-step explanation:
Triangle ABC is isolated True
help me for math..........
Answer:
A) -20
Step-by-step explanation:
[tex]4y(4y-4)-4(-4y+5+4y^2)\\\\16y^2-16y + 16y-20-16y^2\\\\-20\\[/tex]
Drew painted his uncle's barn on Saturday. It took him 8 hours to paint the whole barn, and his uncle paid him 224 dollars for his work. What was Drew's pay rate, in dollars per hour?
Answer:
$28/hour
Step-by-step explanation:
224 ÷ 8 = 28
omg please help me with the ones with the red dot t’s for my math geometry class
Find the measure of A:
A
15x
31x-2
Answer:
30
Step-by-step explanation:
Triangles add up to 180.
Your known sides are: 15x, 31x-2, and 90 (the square on the corner of the angle tells you that it's a right angle or 90 degrees.)
First make an equation to find X
this looks like: 15x+31x-2+90=180
I just added the sides we know and set them to equal 180. Because triangles add up to 180.
Now solve this by first combining like terms
15x+31x-2+90=180 (do the numbers with x's) so 15x+31x
46x-2+90=180 (now combine the numbers without X's) so -2+90
46x+88=180 (now since 88 is positive, do the opposite and subtract it from 180. This is because 180 is on the other side of the = sign.)
46x=92 (now since 46x means 46 times x, you do the opposite of multiplication and divide 92 by 46.
This gives you x=2
Now the last thing you need to do is solve for angle A
Angle A says "15x" so you can substitute our x value (2) for the x
This looks like 15(2) 15 times 2 is 30
so 30 should be your answer
my question is how do you write a simplified expression that is equivalent to 7/8+3/8x-1/4y+3/4y-1/2?
Answer:
1/8(3x+4y+3)
Step-by-step explanation:
a square in the x-y plane in free space has a point charge of q at comer (a/2,a/2) and the comer (a/2,-a/2) and a point charge of -q at (-a/2, a/2) and (-a/2, -a/2). a) find the electric potential at any point along the x-axis. b) evaluate v at x
Electrical potential at any point along the x-axis is V = Q/2πε0(1/R1 − 1/R3) and V at x is Vx = 0.55Q/πε0a
Given info,
A square in the x-y plane in free space has a point charge of q at comer (a/2,a/2) and the comer (a/2,-a/2) and a point charge of -q at (-a/2, a/2) and (-a/2, -a/2).
Let,
V = Q/4πε0R1 + Q/4πε0R2 + −Q/4πε0R3 + −Q/4πε0R4
= Q/2πε0(1/R1 − 1/R3)
With,
R1 = √[(x - a/2)² + (a/2)²]
R3 = √[(x + a/2)² + (a/2)²]
At x = a/2,
R1 = a/2
R3 = a√5/2
Vx = 0.55Q/πε0a.
Therefore, Electrical potential is V = Q/2πε0(1/R1 − 1/R3) and V at x is Vx = 0.55Q/πε0a
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How can the triangles be proven similar by the SSS similarity theorem?
Answer:
I Think its b
Step-by-step explanation:
(show that the ratio UV_XY and WV_ZY are equivalent.)
*3rd thing*
if it is wrong (which i dont think it is) then show me a study guide or some way to learn more about it, hope this helps
write a different expression to model sean's order.eveluate not expressions to check that they are equivlent .How many cupcakes does sean have
The expression that represents the orders is 12 * (5 + 3.5)
Another expression is 12 * 8.5 The total order is 102How to determine the expression for Sean's purchase?From the question, we have the following parameters that can be used in our computation:
Number of cupcakes in a box = 12Number of boxes ordered for his sister’s graduation party = 5Number of boxes ordered for the Variety Show party = 3.5The above parameters mean that:
Expression for Sean's purchase = Number of cupcakes in a box * (Number of boxes ordered for his sister’s graduation party + Number of boxes ordered for the Variety Show party)
Substitute the known values in the above equation, so, we have the following representation
Expression for Sean's purchase = 12 * (5 + 3.5)
Hence, the expression is 12 * (5 + 3.5)
A different expressionIn (a), we have
Expression = 12 * (5 + 3.5)
Evaluate the sum
Expression = 12 * 8.5
Evaluate
Expression = 102
This means that the total number of box is 102
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Complete question
A baker packages 12 cupcakes to a box. Sean orders 5 boxes for his sister’s graduation party and 3.5 boxes for the Variety Show party. Write an expression that shows the calculations you could use to find the number of cupcakes Sean orders.
Write a different expression to model sean's order.eveluate not expressions to check that they are equivlent .How many cupcakes does sean have
PLS HELP ASAP!!!! 35pts!!
The hypotenuse - leg congruency can be applied in both right triangles.
How to find congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent by RHS rule.
In other words, if the hypotenuse and a leg of a right triangle are each congruent with the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
Hence, the legs of the right triangle are congruent and one of the legs are congruent.
Therefore, the hypotenuse - leg congruency can be applied.
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The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2: Suppose a sample of 782 suspected criminals is drawn. Of these people. 273 were captured. Using the data, construct the 98% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places.
The confidence interval is (0.309, 0.389).
Calculate a 98% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list.
Sample size, n = 782
Sample proportion, p = x/n = 0.349105
Confidence level, 1 - α = 98% = 0.98 Implies
Level of significance, α = 0.02
At α = 0.02, the two-tailed critical value from the z-table, Zα/2 = 2.33
Then, the 98% confidence interval is,
It gives, 0.309≤ p ≤0.389
Lower endpoint = 0.309
Upper endpoint = 0.389
We are 98% confident that the proportion of all suspected criminals who were captured is within the confidence interval. If we were to take a large number of random samples of size 782, 98% of the resulting confidence intervals would contain the true proportion of all suspected criminals who were captured.
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