The spinner is divided into 4 equal parts: yellow (Y), green, (G), blue (B) and red (R). Dorian says that if you spin the spinner twice, then there are exactly 12 possible outcomes. he lists the outcomes in a table. Which statement explains Dorian’s mistake?
Answer:
The spinner can land on the same color twice in a row, so there should be 16 possible outcomes
Step-by-step explanation:
4 possible outcomes with the same color
RR, OO, GG and BB.
Total Ways = 12+4=16
[tex]obtain the fourier expansion for sin ax in the interval - | \leqslant \times \leqslant | [/tex]
16 divided by 25 as a decimal
Answer:
The answer of the question is 0.64
Answer:
0.64 is a decimal and 64/100 or 64% is the percentage for 16/25.
Step-by-step explanation:
It will take you to how you do it scan on phone
Mr. Griggs took his two daughters to the movies to see Frozen 2. He paid 19 dollars in all for the tickets. An adult ticket costs 9 dollars. Write and solve an equation to find how much each child ticket cost.
Answer:
19 - 9 = 2x
$5 per child ticket
Step-by-step explanation:
19 - 9 = 2x
10 = 2x
10 ÷ 2
X= 5
$5 per child ticket
Subtract. 28.5−2.7 help
Answer:
25.8
Step-by-step explanation:
According to an AP-Ipsos poll (June 15, 2005), 42% of 1001 randomly selected adult Americans made plans in May 2005 based on a weather report that turned out to be wrong.
a. Construct and interpret a 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report.
b. Do you think it is reasonable to generalize this estimate to other months of the year
Answer:
a) The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.
b) No, since May is a month with a wide range of possible weather.
Step-by-step explanation:
a)
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
42% of 1001 randomly selected adult Americans made plans in May 2005 based on a weather report that turned out to be wrong.
This means that [tex]p = 0.42, n = 1001[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.3798[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.4602[/tex]
The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.
b. Do you think it is reasonable to generalize this estimate to other months of the year
No, since May is a month with a vast number of possible outcomes, as it is in the spring, not being in the winter(cold) or summer(hot), which means that it can be both hot or cold, wet or dry,...
Which graph represents the inequality x > 23 ?
Step-by-step explanation:
step 1. x > 23 means x values greater than 23 but not equal to 23.
step 2. the graph would have an open circle above 23 and a line with an arrow at the end pointing right.
Answer:A
Step-by-step explanation:
Word problem please help thank you
Answer:
The equation would be P(t) = 280t + 3310
The estimated number of moose in 2008 would be 8350 moose.
Step-by-step explanation:
First we will have to find out by how much will the number of moose increase each year. In order to do that we the number by which the population of moose increase, by the difference between 1991 and 1999. And so we get...
[tex]\frac{5830-3590 }{1999 - 1991} = \frac{2240}{8} = 280[/tex]
Now that we know by how much the number of moose increases each year, we can make the following equation...
Let "t" be the number of years from 1990, then...
P(t) = 280t + 3310
(if you are wondering why is it 3310, it is because you have to put in the number of moose that was there in 1990 and you can get that number by substracting 280 from the number of moose in 1991).
Based on the linear relation we figured out, the number of moose in 2008 would be predicted to be...
P(t) = 280t + 3310
P(2008 - 1990) = 280(2008 - 1990) + 3310
P (18) = 280(18) + 3310
P(18) = 8350
What 5 divided by 4.25.
Answer:
Step-by-step explanation:
5 divided by 4.25 = 85 reminder 0
The ratio of the three angles of a triangle is 2:4:6. What is the measure of the
SMALLEST angle?
A decreased by 20% and then increased by 20% express using algebra
asapppppp
Answer:
96%
Step-by-step explanation:
assume the whole number is x
the first thing is decreasing by 20 %
x - 20%x = 80% x
then now the 80%x is the whole number
now It's the turn of increasing
80%x + 20% * (80% x) = 80%x + 16%x = 96% x
I hope this is hlepful to you !!!!
Feel free to ask me in the comments
Change 5 into a rational number a/b
Answer:
[tex]\frac{5}{1}[/tex]
Step-by-step explanation:
Plz helpppp!!!!! Much love
Answer:
B.
Step-by-step explanation:
On one day, 4 chefs and 5 helpers earned $650.
On another day working the same number of hours
at the same rate of pay, 5 chefs and 6 helpers
earned $800.
How much does a chef earn each
day?
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-4,-2);
y = 2.c + 6
y = -32 – 14
Yes
No
O Maybe
Answer:
Yes
(-4,-2) is a solution of a given system of equation
Step-by-step explanation:
Explanation:-
Given that the equation
y = 2 x + 6 ..(i)
Given point (-4,-2)
substitute x =-4 and y = -2 in equation (i)
-2 =2(-4) +6
-2 = -8+6
-2 =-2
∴ The point satisfies the given equation
Find the perimeter P of
JKLM
with vertices J(-3,-2),K(-5,-5),L(1.-5),M(3.-2) Round your answer to the nearest tenth
PLEASE HELP I AM STUCK
Answer:
Do the pythagor theorem and add 5
It's 65
Find the general solution of (x+3)y’=2y
Answer:
[tex]y=C(x+3)^2[/tex]
Step-by-step explanation:
We are given:
[tex]\displaystyle (x+3)y^\prime=2y[/tex]
Separation of Variables:
[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}[/tex]
So:
[tex]\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx[/tex]
Integrate:
[tex]\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx[/tex]
Integrate:
[tex]\displaystyle \ln|y|=2\ln|x+3|+C[/tex]
Raise both sides to e:
[tex]|y|=e^{2\ln|x+3|+C}[/tex]
Simplify:
[tex]|y|=(e^{\ln|x+3|})^2\cdot e^C[/tex]
So:
[tex]|y|=C|x+3|^2[/tex]
Simplify:
[tex]y=\pm C(x+3)^2=C(x+3)^2[/tex]
Decide if the following is a true or false statement - explain how you know
(-3.2) + (-2.8) is positive
Answer:
false
Step-by-step explanation:
(-3.2) + (-2.8)
-3.2 - 2.8
= - 6
answer is negative so false
Suppose you have just poured a cup of freshly brewed coffee with temperature 90∘C in a room where the temperature is 20∘C.
Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Therefore, the temperature of the coffee, T(t), satisfies the differential equation
dT/dt=k(T−Troom)
where Troom=20 is the room temperature, and k is some constant.
Suppose it is known that the coffee cools at a rate of 1∘C per minute when its temperature is 70∘C.
A. What is the limiting value of the temperature of the coffee?
limt→[infinity]T(t)= ________
B. What is the limiting value of the rate of cooling?
limt→[infinity]dT/dt= _________
C. Find the constant k in the differential equation.
k= _________
D. Use Euler's method with step size h=2 minutes to estimate the temperature of the coffee after 10 minutes.
T(10)= _________
Solution :
A). As the time passes the temperature of the coffee tends to acquire the temperature of the room, so the limiting value of the temperature of the coffee is 20°C. i.e.
[tex]$\lim_{t \to \infty} T(t)=20$[/tex]
B). And limiting value of rate of cooling is given by :
[tex]$\lim_{t \to \infty} \ \frac{dT}{dt} =\lim_{t \to \infty} \ [k(T-T_{room})] $[/tex]
[tex]$=k . \lim_{t \to \infty} (T-T_{room})$[/tex]
[tex]$=k .[ \lim_{t \to \infty} T-\lim_{t \to \infty} T_{room}]$[/tex]
[tex]$=k.[T_{room}-T_{room}]$[/tex]
= k. 0
= 0
C). Given, [tex]$\frac{dT}{dt} = -1, $[/tex] when T(t) = 70° using this in the given equation,
-1 = k.(70-20)
k = -0.02
D). By Euler method, we get
[tex]$T_{n+1}=T_n + h \ f(t_n, T_n)$[/tex]
[tex]$t_{n+1}=t_n +h$[/tex]
where, [tex]$f(t,T) =k(T-T_{room})$[/tex]
= -0.02(T - 20)
We have [tex]$T_0 = 90^\circ$[/tex] at t = 0 and h = 2.
So [tex]$t_1 = 0+2 = 2$[/tex]
∴ [tex]$T_1=T_0 + h \ f(t_0,T_0)$[/tex]
= 90+2[-0.02(90-20)]
= 87.2
At [tex]$t_2 = 2+2 = 4$[/tex]
[tex]$T_2=T_1 + h \ f(t_1,T_1)$[/tex]
= 87.2+2[-0.02(87.2-20)]
= 84.51
At [tex]$t_3 = t_2+2 = 4+2=6$[/tex]
[tex]$T_3=T_2 + h \ f(t_2,T_2)$[/tex]
= 84.51+2[-0.02(84.51-20)]
= 81.93
At [tex]$t_4 = t_3+4 = 6+2=8$[/tex]
[tex]$T_4=T_3 + h \ f(t_4,T_4)$[/tex]
= 81.93+2[-0.02(81.93-20)]
= 79.45
At [tex]$t_5 = t_4+2 = 8+2=10$[/tex]
[tex]$T_5=T_4 + h \ f(t_4,T_4)$[/tex]
= 79.45+2[-0.02(79.45-20)]
= 77.07
So after 10 minutes, the temperature of the coffee will be 77.07°C.
The weight of water is 62 1/2 lb per cubic foot. Water that weighs 350 lb will fill how many cubic feet?
The question is worded incorrectly. It should say the DENSITY of water is 62 1/2 lbs per cubic foot. Divide the weight by the density to get volume.
(150 lbs) / (62.5 lbs/ft3) = ? ft3 (the two 3's are exponents. so it'd be ft then an exponent of 3.)
Which function family should be used to solve the following question?
A team of scientists is studying the rate of growth of bacteria in a lab. It is found that the number of bacteria colis triplos overy
hour. If there are 6 bacteria at the beginning of the study, how many bacteria will be present after 7 hours?
A. Linear Function Family
OB. Quadratic Function Family
OC. Exponential Function Family
OD. Absolute Value Function Family
Answer:
I think d is the answer
b. Solve for x, given the
MZ2 = 9x + 6
Answer:
Step-by-step explanation:
hello :
9x+6 =60
9x+6-60 =60-60
9x -54 =0
9x -54+54 =+54
9x=54
x = 54/9
x= 6°
GrumpyCorp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
a) Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user"). (Hint: there should be 6 total)
b) Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
c) Use Bayes' Theorem to find the probability that a person who tests Positive actually was not a Drug User. Set up using Conditional Probability Notation and then substitute in numeric values.
Solution :
Drug : Drug user
T : Test positive
a). [tex]P(D) =0.36[/tex]
[tex]$P\left(\frac{T}{D} \right) = 0.96$[/tex]
[tex]$P\left(\frac{T^c}{D^c} \right) = 0.90$[/tex]
b). [tex]$P(T^c)= P\left(\frac{T^c}{D^c}\right) \times P(D^c)+ P\left(\frac{T^c}{D}\right) \times P(D)$[/tex]
[tex]$=0.9 \times (1-0.36) + (1-0.96) \times 0.36$[/tex]
= 0.5904
c). [tex]$P\left(\frac{D^c}{T}\right) = \frac{P\left(\frac{T}{D^c}\right). P(D^c)}{P\left(\frac{T}{D^c}\right). P(D^c) + P\left(\frac{T}{D}\right). P(D)}$[/tex]
[tex]$=\frac{(1-0.90) \times (1-0.36)}{(1-0.90) \times (1-0.36)+(0.96 \times 0.36)}$[/tex]
[tex]$=0.15625$[/tex]
Aaron mows lawns and makes $70 per week. Last week
he spent $15 on gas and spent 5 hours mowing all of the
lawns. How much did he earn per hour?
1. 25% of 300
2. 20% of what number is 50?
3. What percent of 120 is 40?
4. If 20% of 60 is 12. Which represent the percentage?
5. Which represent the base?
Answer:
rawrrrrrr
Step-by-step explanation:
rawrrrrrrrrrrrrrrrr
helppppppppppppppppppppp
We can apply the Pythagorean theorem:
c= (SQ)
a=RQ = 4
b=RS = 4
c²=a²+b²
c=√(16+16)
c=√32
c=4√2
SV=0,5*SQ
SV=0,5*c
SV=√2
-3x + 7 = 1
what dose x represent
Answer:
the answer is x=3
Step-by-step explanation:
-3x=1-7
-3x=-6
-x=-6+3
-x=-3
x=3
Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.
Solution :
1. [tex]$P(\text{ good sales in Asia }) = 0.55+0.15$[/tex]
= 0.7
2. [tex]$P(\text{ good sales in Europe }) = 0.55+0.20$[/tex]
= 0.75
3. [tex]$\text{P(good sales in Asia }| \text{ good sales in Europe}) $[/tex][tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$[/tex]
[tex]$=\frac{0.55}{0.75}$[/tex]
[tex]$=\frac{11}{15}$[/tex]
4. [tex]$\text{P(good sales in Asia }| \text{ bad sales in Europe}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$[/tex]
[tex]$=\frac{0.15}{0.25}$[/tex]
[tex]$=0.6$[/tex]
5. [tex]$\text{P(good sales in Europe }| \text{ good sales in Asia}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$[/tex]
[tex]$=\frac{0.55}{0.7}$[/tex]
[tex]$=\frac{11}{14}$[/tex]
6. [tex]$\text{P(good sales in Europe }| \text{ bad sales in Asia}) $[/tex]
[tex]$=\frac{0.2}{0.3}$[/tex]
[tex]$=\frac{2}{3}$[/tex]
how do u answer 1/2x + 3/8 = 1/6
Answer:
-5/12
Step-by-step explanation:
you need to simplify both sides of the equasion, then isolate the variable