Answer:
18m+20
Step-by-step explanation:
Hope this helps ya
An eyewitness observes a hit-and-run accident in New York City, where 95% of the cabs are yellow and 5% are blue. A police expert believes the witness is 80% reliable. That is, the witness will correctly identify the color of a cab 80% of the time. If the cab is actually yellow, there is an 80% chance the witness will assert it is yellow, and if the cab is actually blue, there is an 80% chance the witness will assert it is blue. If a witness asserts the cab was blue, what is the probability that the cab actually was blue
Answer:
0.1739 = 17.39% probability that the cab actually was blue
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Witness asserts the cab is blue.
Event B: The cab is blue.
Probability of a witness assessing that a cab is blue.
20% of 95%(yellow cab, witness assesses it is blue).
80% of 5%(blue cab, witness assesses it is blue). So
[tex]P(A) = 0.2*0.95 + 0.8*0.05 = 0.23[/tex]
Probability of being blue and the witness assessing that it is blue.
80% of 5%. So
[tex]P(A \cap B) = 0.8*0.05 = 0.04[/tex]
What is the probability that the cab actually was blue?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.23} = 0.1739[/tex]
0.1739 = 17.39% probability that the cab actually was blue
Tasha is mixing red and white paint to make pink paint. She uses 1/3 pint of red paint to make 1/2 pint of pink paint. How much red paint would she use to make 3 1/2 pints of pink paint?
Answer:
2 1/3
Step-by-step explanation:
Each base in this right prism-like figure is a quarter of a circle with a radius of 2 m.
10 m
2 m
2 m
What is the volume of the figure?
Give an exact answer in terms of pi.
Answer:
Volume of the figure = 10π cubic meters
Step-by-step explanation:
Volume of the right prism like figure = Area of the base × Height
Area of the base of the prism = [tex]\frac{1}{4}(\pi r^{2})[/tex]
= [tex]\frac{1}{4}(\pi)(2)^2[/tex]
= π m²
Height of the prism = 10 m
Volume of the prism given in picture = π × 10
= 10π cubic meters
Answer: 10π
Step-by-step explanation:
Choose the number equal to:
2/3÷(-3).
A) -2
B)-2/9
C)2/9
D)2
Answer:
B) -2/9
Step-by-step explanation:
2/3 ÷ -3 = 2/3 * 1/-3
2*1 / -3*3
2/-9
-2/9
Helppppp!!!!!!!!! Plz
Suppose you add two linear equations that form a system, and you get the result y = −2. How many solutions does the system have?
Answer:
This system will have 1 solution
Step-by-step explanation:
A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct. Linear systems composed of lines that have the same slope and the y-intercept are said to be consistent dependent systems.
Look at the diagram.
What type of angle is angle B?
What type of angle is angle D?
Answer:
B - obtuse
D - acute
Step-by-step explanation:
Answer:
I think angle B is an obtuse angle and D is an acute angle. I'm not sure.
Hope this helps :)
what's the sum of 1,015 and 119
Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10
Answer:
39/20 = 1.95
That's my simplified answer
39/20 = 1 19/20
Will this help?
Step-by-step explanation:
Answer:
[tex]1\frac{19}{20}[/tex]
Step-by-step explanation:
A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)
Answer:
Step-by-step explanation:
SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT
For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors
9514 1404 393
Answer:
g(x) = (x -3)(x -2+√7)(x -2 -√7)
Step-by-step explanation:
Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.
g(x) = (x -3)(x^2 -4x -3)
The quadratic is not factorable over integers. Its vertex form is ...
(x -2)^2 -7
so its roots are x = 2±√7.
That means the linear factorization of g(x) is ...
g(x) = (x -3)(x -2-√7)(x -2+√7)
_____
I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.
four tenths plus four ninths
Answer:
38/45
Step-by-step explanation:
4/10+4/9 Simplify.
2/5*4/9 Find a common denominator (45).
2/5*9/9=18/45
4/9*5/5=20/45
18/45+20/45=38/45
Hope this helps and have a great day C:
Can someone please help no links and if you can explain thank you so much
Answer:
detail attached
Step-by-step explanation:
I think it asks you to match the corresponding base and height
The table shows Kayden’s quiz scores for a semester. Consider this is the whole set of quizzes. Consider that Kayden took all the possible quizzes for the semester. What are the mean and the standard deviation, rounded to the nearest hundredth, for the quiz data?
Calculate the Margin of error, and give the 95% confidence range.
X
45
48
42
47
43
Mean=
Standard Deviation =
Answer:
huh what do you mean
Step-by-step explanation:
im really sorry
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Long= [tex]2\sqrt{3}[/tex]
Step-by-step explanation:
This is a 30-60-90 right triangle, which has a special rule that would be very useful to memorize for the future. Take a look at the attached image.
From this, we can deduce that
hypotenuse=2*2=4, and
long= [tex]2\sqrt{3}[/tex]
Choose all lengths that are equal to
6 feet 12 inches.
Answer:
Can you show a picture? Or like tell us the options?
Each side length is doubled. What is the PERIMETER of the new figure?
Answer:
24 units
Step-by-step explanation:
Original perimeter:
5+4+3=12
When each side length is doubled, the original perimeter is doubled.
12*2=24
Answer:
if the length of each side is is doubled then
5×2 = 10
4×2 = 8
3×2 = 6
perimeter of new figure = 10 + 8 + 6
= 24 units
hope this helps good day mate
D is greater than E and less than C.
C and D are opposites.
At least one number is greater than A.
HELP
Answer:
?
Step-by-step explanation:
A university wants to investigate how much its students spend on textbooks each semester. Since all
students must purchase their materials through the campus bookstore, a random sample of 15 student
accounts is selected, and the averagą dollar amount spent on textbooks is calculated.
Which of these circumstances would make it inappropriate to use this sample to calculate a 95%
confidence interval for the mean amount spent on books by students at this university?
The standard deviation of the textbook costs is below $30.
The standard deviation of the textbook costs is larger than $100.
A stem-and-leaf plot of the textbook costs shows a roughly symmetric distribution
A histogram of the textbook costs is calculated and shows a slight skew to the right.
A boxplot of the textbook costs shows two students whose amounts would qualify as outliers,
Answer:
Step-by-step explanation:
What is the mean absolute deviation of the data set?
{12, 17, 12, 8,6)
Answer:The mean absolute deviation of the set of data is
2.24
.
Step-by-step explanation:
A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours. What is the 90% confidence interval for the difference in mean hours of sleep for students at the two high schools
Answer:
The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"
Step-by-step explanation:
Given values:
[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]
Using formula:
[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]
Put the values in the above formula:
[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]
In the LEFT column: Solve for y: 5 = –7y + 8
9514 1404 393
Answer:
y = 3/7
Step-by-step explanation:
add 7y to both sides of the equation
7y +5 = 8
Subtract 5 from both sides of the equation
7y = 3
Divide both sides of the equation by 7
y = 3/7
Lena spent $39 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?
Answer:
The answer is 65%
Step-by-step explanation: Divide 60 by 39 and multiply by 100. So it will look like 39/60=0.65*100=65%. I hope this helps. :)
WALK-A-THON WALE
SPONSOR SHEET MA
Manuel
NAME
9. Make Sense and Persevere Beth, Manuel, and Petra
are collecting sponsors for a walk-a-thon. The equation
y= 20x represents the amount of money Beth raises
for walking x miles. The table shows the relationship
between the number of miles Manuel walks and the
amount of money he will raise. Petra will earn $15 for
each mile that she walks.
a. In order to compare the proportional relationships,
what quantities should you use to find the unit rate?
MILES WALKED
3
5
7
9
MONEY RAISED
$45
$75
$105
$135
b. Compare the amount of money raised per mile by the three people.
HURRY 50 POINTS Which of the points belong to the graph of the equation x–2y=4?
A (6,1)
B (-6,-5)
C (0,-2)
D (-1,3)
THESE ARE ALL YES/NO QUESTIONS AND PLEASE DONT GIVE ME A LINK TO THE ANSWER
Answer:
C (0,-2)
Step-by-step explanation:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.
As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading
Note that this equation is linear since all of the terms in
x and y are of degree at most 1.
Question 9 of 10 What is one strategy that can help a person avoid spending too much money on interest when borrowing money? O A. Choosing a credit card with a low minimum monthly payment O B. Choosing a loan with a simple rather than compound interest rate O C. Choosing a credit card with a high minimum monthly payment O D. Choosing a loan with a compound rather than simple interest rate
Answer:
Hello There!!
Step-by-step explanation:
The answer is B. Choosing a loan with a simple rather than compound interest rate.
hope this helps,have a great day!!
~Pinky~
Mike's scores on 5 quizzes he took are shown above. In which month was Mike's quiz score equal to the average of his 5 quizzes? Sept. 72, Oct. 83, Nov. 95, Dec. 77, Jan. 88
Answer:
Oct.
Step-by-step explanation:
average = (72 + 83 + 95 + 77 + 88)/5 = 83
Can someone please give me this answer to question 3 please
Answer:
kurt
Step-by-step explanation:
Which is larger 64 inches or 5 feet
Answer:
64 inches
Step-by-step explanation:
There are 12 inches in a foot
12 x 5 is 60
64 is greater then 60
Please help soon! Im timed!
Answer:
5 times a number and 7 : last option
8 more than the product of 7 : second option
5 less than the quotient of 8 ..... : first option
twice the difference of 8 and a number : thrid option
Step-by-step explanation:
Common sense