Answers
Answer:
5) 9
6) 11 2/3
Step-by-step explanation:
Use the Pythagorean Theorem.
5) a²+5.6²=10.6²
a²+31.36=112.36
a²=81
a=√81
a=9
6) a²+4²=12.3333²
a²+16=152.11111
a²=152.11111-16
a²=136.1111
a=√136.1111=11.6666
Related Questions
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?
Answers
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
The ratio of the three angles of a triangle is 2:4:6. What is the measure of the
SMALLEST angle?
Answers
Explanation:
I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor
x
. And, the sum of the measures of the angles of a triangle is
180
.
⇒
2
x
+
4
x
+
6
x
=
180
12
x
=
180
12
x
12
=
180
12
x
=
15
The measures of the angles are:
2
x
=
2
(
15
)
=
30
4
x
=
4
(
15
)
=
60
6
x
=
6
(
15
)
=
90
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 391 drivers and find that 319 claim to always buckle up. Construct a 85% confidence interval for the population proportion that claim to always buckle up.
Answers
Answer:
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
Step-by-step explanation:
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].
They randomly survey 391 drivers and find that 319 claim to always buckle up.
This means that [tex]n = 391, \pi = \frac{319}{391} = 0.8159[/tex]
85% confidence level
So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 + 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.8441[/tex]
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
Which graph shows u + v for the given vectors u and v?
Answers
Answer:
The answer is A
Step-by-step explanation:
When you move v's tail to u's head, you see that the vectors align up.
The graph shows (u + v) for the given vectors u and v will be Graph A.
What is vector ?A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.
We have,
Four graphs and we have to tell which is the correct graph for (u + v).
So,
To add two vectors, add the corresponding components.
i.e. The sum of u and v vector = ( u₁ + v₁, u₂ + v₂)
i.e.
Let u = (u₁, u₂) and
v = (v₁, v₂)
Now,
(u + v) = ( u₁ + v₁, u₂ + v₂)
So,
From Graph A,
We have,
u = (1, 4) and v = (2, -2)
i.e.
u₁ = 1,
u₂ = 4,
v₁ = 2,
v₂ = -2
So,
Using the addition method of vector,
i.e.
(u + v) = ( u₁ + v₁, u₂ + v₂)
Substituting values,
(u + v) = [( 1 + 2), (4 + (-2))]
We get,
(u + v) = (3, 2)
So,
The graph A represents the correct points of (u +v).
Hence, we can say that the graph shows (u + v) for the given vectors u and v will be Graph A.
To know more about vectors click here
https://brainly.com/question/24256726
#SPJ2
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-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.
Answers
Solution :
1. [tex]$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]
pls help 100 points helphelp
Answers
Answer:
Some kind of evadence
Step-by-step explanation:
Answer:
Im pretty sure it would be C.
Step-by-step explanation:
Sine a signature, photograph and quotes are all pieces of evidence, you can rule them out and infer that c would be the most reliable answer.
Help
Please ..................
Answers
8(-11) + 2.
-86
Answer:
-86
Step-by-step explanation:
Substitute -11 for x in the equation:
8(-11)+2
=-88+2
=-86
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
Answers
las alturas medidas en centimetros de 15 niños de una primaria fueron las siguientes 145,135,150,144,137,152,139,146,140,149,148,135,143,151,135¿cual es el promedio,mediana y moda?
Answers
Answer:
145
Step-by-step explanation:
145 135 123 134 456 teukr68l67ewi6e5iu
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
Answers
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,...
b. Solve for x, given the
MZ2 = 9x + 6
Answers
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.
Answers
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]
PLEASE HELP I AM STUCK
Answers
Answer:
Do the pythagor theorem and add 5
It's 65
What 5 divided by 4.25.
Answers
Answer:
Step-by-step explanation:
5 divided by 4.25 = 85 reminder 0
I need help on this and pls I actually do so dont put wrong answers or that you need points pls dont :)
Answers
Answer:
Equation: 120=66+2m
Step-by-step explanation:
120=66+2m
120-66=54
54/2=27
m=27
Beth’s brother is 140% of Beth’s height. If Beth’s brother measures 140cm, how tall is Beth?
Answers
Answer:
100 cm
Step-by-step explanation:
let x be the height of Beth
and y be the height of Beth's Brother
By 1st Condition
y = 140% * x
y = (140/100) * x
y = 1.4 x ..........................(Eq 1)
By 2nd Condition
y = 140
Put the value of y in the equation 1
140 = 1.4 *x
x = 140 / 1.4
x = 100 cm
16 divided by 25 as a decimal
Answers
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
Which of these are prime numbers? Circle all that apply.
5 7 12 8 11 2 20 45
Answers
Answer:
2, 5, 7, 11
Step-by-step explanation:
2. Izza walked 5 steps forward, 8 steps backward, 9 steps forward and 3 steps backward. How
many steps is Izza from where she started?
3. Samuel was at the ground floor when he decided to go to the fourth floor. He then went down 2
or and went up 7 more floors. Where is he now?
On a winter night the temperature dropped f.rom -6°C to -15°C. How many degrees did the
Tamperature drop?
Answers
Answer:
Izza walked 3 steps forward
samuel is on the 9th floor
-9 degrees
Step-by-step explanation:
Word problem please help thank you
Answers
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
1. Socks are on sale at 10% discount. What is the sale price of a pair of socks originally
marked #125.00?
Answers
Answer:
10/100 = x/125
1250 = 100x
1250/100 = 100x/100
12.5 = x
125 - 12.5 = 112.5
the sale price is $112.5
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
Answers
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
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?
Answers
5c + 6h = 800 where c are chefs, h are helpers
Start by finding an expression for c
4c + 5h = 650
4c = 650 -5h
c = (650- 5h)/4
Then substitute that into the second equation and solve for a number value for h
5 (650-5h)/4 + 6h = 800
(3250-25h)/4 + 6h = 800
Multiply both sides by 4
3250-25h + 24h = 3200
-h = -50
h = 50
Take that 50 and substitute it into the expression we have for c to get a number value for c
C= 650-5(50)/4
C = 650-250/4
C = 400/4
C= 100
Check your first equations, substituting $50 for the helpers and $100 for the chefs.
4 (100) + 5(50) =
400 + 250 = 650
5(100) + 6(50) =
500 + 300 = 800
Plz helpppp!!!!! Much love
Answers
Answer:
B.
Step-by-step explanation:
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
Answers
Answer:
I think d is the answer
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?
Answers
Answer:
rawrrrrrr
Step-by-step explanation:
rawrrrrrrrrrrrrrrrr
2. 250
3. 33.33
4. 20% I think?
5. I’m not sure
A decreased by 20% and then increased by 20% express using algebra
asapppppp
Answers
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
48/96 in its simplest form
Answers
Answer:
1/2
Step-by-step explanation:
just divide it I guess
1/2
48/2
=24/2
=12/2
=6/2
=3
Hope this helps :D
[tex]obtain the fourier expansion for sin ax in the interval - | \leqslant \times \leqslant | [/tex]
Answers
please help with question
Answers
Answer:
70
Step-by-step explanation:
180 - (90) - (20)
90 - 20
70