Mrs. Brown, Mrs. White, and Mrs. Gray are a teacher, a doctor, and a lawyer, not necessarily in that order. Each has a horse. One horse is white, one is brown, and one is gray. From the following clues, determine the occupation of each woman and the color of her horse. No one’s name is the same as the color of her horse. The teacher owns a brown horse. Mrs. Gray is a doctor.
Answers
Answers:
Mrs. Brown ( lawyer ) owns the gray horse.Mrs. White ( teacher ) owns the brown horseMrs Gray ( doctor ) owns the white horse===========================================================
Explanation:
We're given these three clues
Clue 1: No one's name is the same as the color of her horseClue 2: The teacher owns a brown horseClue 3: Mrs. Gray is a doctor.Clue 3 is what we'll start with. Since Mrs. Gray is a doctor, this means that the doctor owns either a white horse or a brown horse. The doctor can't own a gray horse because the names can't match up (eg: the last name Gray with gray horse), due to clue 1.
If Mrs. Gray owned a brown horse, then she'd be a teacher (clue 2). But clue 3 says she's a doctor. We have a contradiction if Mrs. Gray owns the brown horse. Therefore, Mrs. Gray owns the white horse.
----------------
After we concluded the last section, we now know the following:
The horses that are left are the brown and gray horse.The professions left are the teacher and lawyer.The people left are Mrs. Brown and Mrs. White.In short, we've just crossed "Mrs. Gray", "doctor", and "white horse" from the list.
Based on clue 1, we know that Mrs. Brown cannot possibly own the brown horse. Therefore, she must own the gray horse. So Mrs. White must own the brown horse.
Since Mrs. White owns the brown horse, she must be the teacher (clue 2). That leaves "lawyer" as the last profession, and that's assigned to Mrs. Brown.
----------------
Side note: I apologize for being a bit wordy, but I wanted to be very careful in the logical sense as to approach this problem. There's probably a much quicker efficient way to do this.
Related Questions
Select the correct answer.
What is this expression in simplified form?
5v2.9v6
OA. 45v3
OB. 90
O C. 90v3
OD. 45V2
Answers
Answer:
C. 90√3
Step-by-step explanation:
5√2 . 9√6 = 45√12 = 45×2√3
= 90√3
The simplified form is 90√3.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Given expression is, 5√2×9√6
=5×9×√(2×6)
=45×√12
=45×2√3
=90√3
Hence, the simplified form is 90√3 .
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HELP I NEED TO PASS!!!!!
A. g(x) = 2x-1
B. g(x) = 2x + 1
C. g(x) = 2x –1
D. g(x) = 2x+1
Answers
Factor t^2 - 5t + 6. Type your answer in the space provided. Do not type spaces in your answer. Use only lowercase letters and include all necessary parentheses, variables and operation signs. For example, if the answer is (x +1)(x+2), type (x+1)(x+2).
Answers
Answer:
(x-3) * (x-2
Step-by-step explanation:
a. Rewrite the equation 2x + y + 1 = 0 in slope-intercept form.
b. Give the slope and y-intercept.
c. Use the slope and y-intercept to graph the linear function.
Answers
B) m= -2 , b= -1
C)
9 Two people start writing reports on the same day. Both write 200-page reports. Writer A averages 8 pages a day, and writer B averages 5 pages per day. How much sooner will Writer A finish her report than will Writer B?
Answers
Answer:
15 days
+
Step-by-step explanation:
A
200 pages / (8 pages / day) =
= 200 pages days / 8 pages =
= 200 days / 8 = 25 days
B
200 pages / (5 pages / day) =
= 200 pages days / 5 pages =
= 200 days / 5 = 40 days
40-25 = 15 days
A will finish 15 days sooner than B.
A will finish her report 15 days sooner than B.
What is the ratio?The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
Writer A averages 8 pages a day,
Number of pages per day written by writer A = 8 per day
Writer A will finish her report = Total pages / per day written by writer A
⇒ 200 pages / (8 pages / day)
⇒ 200 pages days / 8 pages
⇒ 200 days / 8
⇒ 25 days
Writer B averages 5 pages a day
Number of pages per day written by writer B = 5 per day
Writer B will finish her report = Total pages / per day written by writer A
⇒ 200 pages / (5 pages / day)
⇒ 200 pages days / 5 pages
⇒ 200 days / 5
⇒ 40 days
Difference between both of time when they finished their report = 40-25 = 15 days
Hence, A will finish her report 15 days sooner than B.
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Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y.
1) Viết các phán đoán sau đây dưới dạng công thức:
a) Nhiều người yêu thương A. (Thay A bằng chính tên của em).
b) A yêu thương nhiều người. (Thay A bằng chính tên của em).
2) Phủ định hai phán đoán ở phần 1) (viết dưới dạng câu văn hoàn chỉnh).
Answers
Answer:
Step-by-step explanation:
Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C. Which transformations could have taken place to map △ABC to △A"B"C"? a reflection and a dilation a rotation and a dilation a translation and a dilation a reflection and a translation
Answers
C. a translation and a dilation
Step-by-step explanation:
the other person isn't wrong they just put it in the wrong order
Answer:c
Step-by-step explanation:took the test
The cost of K-12 education per student was $2200 in 1978 and increased to $10,300 in 2008. (Source: Department of Education). (a) Find a linear equation that models these data. Let C represent the cost per student and x represent the number of years after 1978.
Answers
Answer: [tex]C=270x+2200[/tex]
Step-by-step explanation:
Given
Cost per student in the year 1978 is $2200
The cost increases to $10,300 in 2008
Suppose [tex]C=mx+a[/tex] is the linear equation defining the cost per student after x years
Substitute the value for 1978
[tex]\Rightarrow 2200=m(0)+c\\\Rightarrow c=2200[/tex]
After 30 years it becomes
[tex]\Rightarrow 10,300=m(30)+2200\\\Rightarrow 30m=8100\\\Rightarrow m=270[/tex]
Thus, the linear equation becomes
[tex]\Rightarrow C=270x+2200[/tex]
Qual é a frequência de cada gênero de leitura citados?
Answers
Answer:
i velo you
Step-by-step explanation:
A table represents the possibility of an association between eye color and hair color. Hair Color Eye Color Brown Black Green 22 15 Blue 18 19 In order to determine if there is a significant difference between eye color and hair color, the chi-square test for association and independence should be performed. What is the expected frequency of Blue Eyes and Black Hair?
Answers
Answer:
17
Step-by-step explanation:
_____________ Hair color
Eye color ___ Brown ___ Black ___ total
Green _____ 22 ________ 15 ____ 37
Blue _______ 18 ________ 19 ____ 37
Total _______40 ________34 ____ 74
Calculate the expected frequency of Blue Eyes and Black Hair?
The expected frequency Count ;
(row total * column total) / total number of observations
Expected frequency ;
Blue eye n black hair = (37 * 34) / 74
Expected frequency count = 1258 / 74 = 17
Expected count = 17
Answer:
The row total of blue eyes is 18 + 19 = 37.
The column total of black hair is 15 + 19 = 34.
The total of the whole table is 22 + 15 + 18 +19 = 74.
Step-by-step explanation:
E=(37)(34)/74=1258/74=17
k+8
4) 3 =
3
Please help me
Answers
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{3 = \dfrac{k +8}{3}}[/tex]
[tex]\rightarrow\mathsf{\dfrac{k+8}{3}=3}[/tex]
[tex]\large\textsf{MULTIPLY by 3 to BOTH SIDES}[/tex]
[tex]\mathsf{3\times3=\dfrac{k+8}{3}\times3}[/tex]
[tex]\large\textsf{Work out the equation above to get to the next step}[/tex]
[tex]\large\textsf{We get: }\mathsf{k + 8 = 9}[/tex]
[tex]\large\textsf{SUBTRACT 8 to BOTH SIDES}[/tex]
[tex]\mathsf{k +8-8=9-8}[/tex]
[tex]\large\textsf{CANCEL out: 8 - 8 because that gives you 0}\\\\\\\\\large\textsf{KEEP: 9 - 8 because that gives you the value of k.}[/tex]
[tex]\mathsf{k = 9 -8}[/tex]
[tex]\mathsf{9-8=\boxed{k}}[/tex]
[tex]\mathsf{9-8=\boxed{\large\textsf{\bf 1}}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge k = \bf 1}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Helppppo plsssssssssss I need helppp with thissss
Answers
Answer:
82 is what r equals
Step-by-step explanation:
So, lets go over what we know:
D equals rt, or r * t:
D=r*t
The table shows:
t=2 - d=164
t=3 - d=246
These are the only 2 values we need to look at.
We know that D= r*t, and we can just plug in the values found in the table for t and d to solve for r. So:
164= r * 2
Divide both sides by 2 to iscolate r:
82=r
So it seems like r is equal to 82, however this might be exponential or inaccurate, so lets double check witht the nexty values on the table:
246=r*3
Divide by 3 to iscolate the r:
82=r
So we know that r must equal 82.
Hope this helps!
Eighty percent of one store’s customers paid with credit cards. Forty customers came in that day. How many customers paid for their purchases with credit cards?
Answers
Answer:
32
Step-by-step explanation:
40 = 100%
how many are 80% ?
well, 80% = 80× 1%
1% = 100% / 100
so, in our case
80% = 80×40/100 = 8×4 = 32
as a shortcut you consider a percentage x as a ratio factor of x/100 you multiply the 100% number with.
in our case
80% = 40 × 80/100 = 32
A study is conducted to see how effective aspirin is in reducing temperature in children. A sample of 6 children suffering from influenza had their temperatures taken immediately before and 1 hour after administration of aspirin. The results are given below. We would like to conduct a paired differences t-test for this situation. The data follows:
Patient Temperature Before Temperature After Difference
1 103.7 102.6 1.1
2 103.7 102.7 1
3 100.7 98.8 1.9
4 102.7 103.5 -0.8
5 102.7 101.3 1.4
6 100.7 99.4 1.3
Mean 102.4 101.4 1
Std. Dev. 1.4 1.9 0.9
Required:
Calculate the appropriate test statistic of a matched pairs t-test for this data to see if taking aspirin will reduce a child's fever.
Answers
Answer:
Then t(s) is in the rejection region for H₀ we reject H₀ and conclude that the aspirin will reduce a child´s fever
Step-by-step explanation:
Tem.Before Tem.After diff.
103.7 102.6 1.1
103.7 102.7 1
100.7 98.8 1.9
102.7 103.5 -0.8
100.7 99.4 1.3
102.4 101.41 (Mean)
1.4 1.9 0.9 Std. Dev.
n = 6
df = 6 - 1 = 5
CI we propose to be 95 %
Then α = 5 % α = 0.05
The test is a one-tail test ( we want to know if taking aspirin will reduce a child´s fever
Hypothesis test
Null Hypothesis H₀ μd = 0
Alternative Hypothesis Hₐ μd > 0
(NOTE:) μd (average) = Temp Before - Temp. after
Therefore if μd > 0 means that there is a statistical difference between values before ( bigger ) and after or that the aspirin will reduce a child´s fever
To find t(c) from t-student table df = 5 and α = 0.05
t(c) = 2.015
To compute t(s)
t(s) = μd/ sd/√n t(s) = 0.98/ 0.9/√6
t(s) = 2.66
Comparing t(s) and t(c)
t(s) > t(c)
Then t(s) is in the rejection region for H₀ we reject H₀ and conclude that the aspirin will reduce a child´s fever
An assembly line consists of 21 tasks grouped into 5 workstations. The sum of the 21 task times is 85 minutes. The largest assigned cycle time is 20 minutes. What is the efficiency of this line
Answers
Answer:
The efficiency of this line is 0.85 = 85%.
Step-by-step explanation:
Efficiency:
The efficiency is given by the following formula:
[tex]E = \frac{T_t}{tn}[/tex]
In which [tex]T_t[/tex] is the total task time, [tex]t[/tex] is the largest assigned cycle time and n is the number of workstations.
5 workstations
This means that [tex]n = 5[/tex]
The sum of the 21 task times is 85 minutes.
This means that [tex]T_t = 85[/tex]
The largest assigned cycle time is 20 minutes.
This means that [tex]n = 20[/tex]
What is the efficiency of this line?
[tex]E = \frac{T_t}{tn} = \frac{85}{20*5} = \frac{85}{100} = 0.85[/tex]
The efficiency of this line is 0.85 = 85%.
You measure 37 dogs' weights, and find they have a mean weight of 69 ounces. Assume the population standard deviation is 9.2 ounces. Based on this, construct a 90% confidence interval for the true population mean dog weight.Give your answers as decimals, to two places_______ ± ________ ounces (Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 ; Enter DNE for Does Not Exist, oo for Infinity)
Answers
Solution :
Given :
mean weight of the dogs, [tex]$\overline x$[/tex] = 69
Number of dogs, n = 37
Standard deviation, σ = 9.2
Confidence interval = 90%
At 90% confidence interval for the true population mean dog weight is given by :
[tex]$= \overline x \pm \frac{\sigma}{\sqrt n} \times z_{0.05}$[/tex]
[tex]$= 69\pm \frac{9.2}{\sqrt_{37}}} \times 1.64485$[/tex]
[tex]$=69 \pm 2.487799$[/tex]
= (66.5122, 71.4878)
Plzzz help!!!!!!!!!!!!!!!!
Answers
Answer:
B) The function has a maximum value of (1)
Step-by-step explanation:
The given function has a maximum value, as its curve is inverted. The maximum value is the largest (y) value that a function can attain. As one can see, this value is (1), because the (y-coordinate) of the highest point on its curve is (1). This function has no minimum value, its endpoints go on infinitely in a negative direction.
You have $45 to spend on notebooks and each one costs $5.
Write an inequality for the possible number of notebooks you
could buy, then find out the maximum number of notebooks
you could buy.
notebooks
Answers
Answer:
9notebooks
Step-by-step explanation:
5×y≤45( where y is number of notebooks)
$5=1notebook
$45=$45/$5x1
=9
therefore, you'll be able to buy nine notebooks with$45
Answer:
$5n = $45
n = 9
Step-by-step explanation:
Let n represent the amount of notebooks
$5n = $45
Divide each side by 5
$5n/5 = $45/5
n = 9
so the maximum number of notebooks you can buy is 9
(Right angle Trigonometry) help me solve for X please!
Answers
Answer:
x = 52.0
Step-by-step explanation:
Reference angle = 68°
Length of side Opposite to reference angle = x
Adjacent length = 21
Apply the trigonometric function, TOA, which is given as:
Tan 68° = Opp/Adj
Substitute
Tan 68° = x/21
21 × Tan 68° = x
51.9768238 = x
x = 51.9768238 ≈ 52.0 (approximated to nearest tenth)
if 4 gallons of milk cost $11, how much would 7 gallons cost?
Answers
Answer:
$19.25
Step-by-step explanation:
11 ÷ 4 = $2.75 this is the cost per gallon of milk
2.75 * 7 = $19.25 this is the cost for 7 gallons of milk
Hope this helps
Answer:
$ 19.25
Step-by-step explanation:
Milk(gallons) Cost
4 11
7 x
[tex]\frac{4}{7} = \frac{11}{x}\\\\4 \times x = 11 \times 7\\\\4x = 77\\\\x = \frac{77}{4} = \$ 19.25[/tex]
A student is going to take a five-question, multiple-choice quiz. Each question has exact four choices for the answer, but only one of which is correct. The student forgets to study for the quiz and plans to randomly guess on each question. Let X be the number of correct answers he will obtains. Answer the following questions. Find the probability that he obtains at most one correct answer
Answers
Answer:
0.6328 = 63.28% probability that he obtains at most one correct answer
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he obtains the correct answer, or he does not. The probability of obtaining the correct answer on a question is independent of any other questions, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Five-question
This means that [tex]n = 5[/tex]
Each question has exact four choices for the answer, but only one of which is correct.
This means that [tex]p = \frac{1}{4} = 0.25[/tex]
Find the probability that he obtains at most one correct answer
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373[/tex]
[tex]P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.2373 + 0.3955 = 0.6328[/tex]
0.6328 = 63.28% probability that he obtains at most one correct answer
some 1 help me plz its algebra 1
Answers
Rise/run. When x is 0, y is 4. When x is 2, y is 14. Y changed by 10 and x changed by 2. 10/2=5
If we know the values of the sine and cosine of x and y, we can find the value of cos(x - y) by using the ____ Formula for Cosine. State the formula: cos(x - y) = ____.
Answers
Answer:
[tex]\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)[/tex]
Step-by-step explanation:
Given
[tex]\cos(x - y)[/tex]
Required
State the formula
From trigonometry identity, the formula of [tex]\cos(x - y)[/tex] is:
[tex]\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)[/tex]
create a frequency table and probability models to determine the probability the following outcome police officer kept recording of 75 drivers at a stop sign they observed 21 people who came to complete stop 46 who made a rolling stop and 8 that did not appear to a brake at all what is the probability that a randomly selected driver will come to complete stop
Answers
Answer:
0.28 = 28% probability that a randomly selected driver will come to complete stop
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Recording of 75 drivers.
Of those, 21 came to a complete stop.
Then
21/75 = 0.28
0.28 = 28% probability that a randomly selected driver will come to complete stop
What is the average rate of change for the function f(x) over the interval [0, 3]
Answers
Answer:
The average rate of change is 22
Step-by-step explanation:
Given
[tex]f(x) = x^4 - 5x[/tex]
Required
Average rate of change over [0,3]
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
So, we have:
[tex]Rate = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]
Calculate f(3) and f(0)
[tex]f(x) = x^4 - 5x[/tex]
[tex]f(3) = 3^4 - 5 * 3 =66[/tex]
[tex]f(0) = 0^4 - 5 * 0 = 0[/tex]
So, we have:
[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]
[tex]Rate = \frac{66-0}{3}[/tex]
[tex]Rate = \frac{66}{3}[/tex]
[tex]Rate = 22[/tex]
How do you get total cost from price of $2.75 and qty demanded of 1250
Answers
Answer:
$3437.5
Step-by-step explanation:
Given data
Unit cost= $2.75
qty demanded= 1250
To get to the total, we have to multiply the quantity by the unity cost
=2.75*1250
=$3437.5
Hence the total cost is
$3437.5
If the coordinates of a point p(m-3, -6) = p(-7, -6), then find the value of m
Answers
Answer:
[tex]m =-4[/tex]
Step-by-step explanation:
Given
[tex]p(m-3 , -6) = p(-7 , -6)[/tex]
Required
Find m
[tex]p(m-3 , -6) = p(-7 , -6)[/tex]
By comparison:
[tex]m-3 = -7[/tex]
Add 3 to both sides
[tex]m = -7+3[/tex]
[tex]m =-4[/tex]
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −9
0 −1
1 7
g(x)
g(x) = 3x − 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answers
Answer:
(a) The slope of f(x) is greater than the slope of g(x)
(b) f(x) has a greater y intercept
Step-by-step explanation:
Given
[tex]\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}[/tex]
[tex]g(x) = 3x - 2[/tex]
Solving (a): Compare the slopes
The slope (m) of f(x) is calculated as;
[tex]m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{f(0) - f(1)}{0 - 1}[/tex]
[tex]m = \frac{f(0) - f(1)}{- 1}[/tex]
Substitute values for f(0) and f(1)
[tex]m = \frac{-1 - 7}{- 1}[/tex]
[tex]m = \frac{-8}{- 1}[/tex]
[tex]m = 8[/tex]
The slope of g(x) can be gotten using the following comparison
[tex]g(x) = mx + b[/tex]
[tex]m \to slope[/tex]
So:
[tex]g(x) = 3x -2[/tex]
[tex]m = 3[/tex]
[tex]m_{f(x)} > m_{g(x)}[/tex]
Solving (b): Compare the y intercept
y intercept is when [tex]x = 0[/tex]
From the table of f(x)
[tex]f(0) = -1[/tex]
From the equation of g(x)
[tex]g(x) = 3x -2[/tex]
[tex]g(0) = 3*0-2[/tex]
[tex]g(0) =-2[/tex]
[tex]f(0) > g(0)[/tex]
Please help me
A. 7ft
B. 11ft
C. 15ft
D. 10ft
Answers
Answer:
A. 7ftStep-by-step explanation:
Have a good grades and study well sweetie
answered by: sugaxchimLast question! Please show work. Really need to get this done in 1 hour
Answers
Answer:
x=1; y=2; z=3
Step-by-step explanation:
Rearrange for convince:
2y-4z+6x = -2
-4y+2z-3x=-5
-6y+3z+4x=1
Now we take to pairs and eliminate the same var.:
2y-4z+6x = -2 *2
-4y+2z-3x=-5
and
-4y+2z-3x=-5 *-3
-6y+3z+4x=1. *2
We get:
4y-8z+12y=-4
-4y+2z-3x=-5
= -6z+9x=-9
and
12y-6x+9x=15
-12y+6x+8x=2
= 17x=17
We now know x = 1, so z is:
-6z+9=-9
-6z=-18
z=3
Let’s grab the first formula and find y:
6+2y-12=-2
6+2y=10
2y=4
y = 2