Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of all buyers request automatic transmission, 82% of all buyers request built-in GPS, and 77% of all buyers request both automatic transmission and built-in GPS. Hint: It may be useful to draw Venn diagrams for these. What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
Answer:
0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
Step-by-step explanation:
We solve this question treating these probabilities as Venn sets.
I am going to say that:
Event A: Requesting automatic transmission
Event B: Requesting built-in GPS
90% of all buyers request automatic transmission
This means that [tex]P(A) = 0.9[/tex]
82% of all buyers request built-in GPS
This means that [tex]P(B) = 0.82[/tex]
77% of all buyers request both automatic transmission and built-in GPS.
This means that [tex]P(A \cap B) = 0.77[/tex]
What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
This is [tex]P(A \cup B)[/tex], which is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95[/tex]
0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
What’s the area of this triangle?
Please help I need this ASAP!
Answer:
24!
Step-by-step explanation:
a= h b/2
a = 4 12/2
12/2 = 6
a = 4 x 6
a = 24
and sorry for asking but, if this is right could i please get a thanks & brainliest recently a moderator deleted ALL my answers (over 400 answers) causing me to lose over 3k points so id appreciate it alot thanks xoxo
Answer:
(12 x 4)/2 = 24
Step-by-step explanation:
Please Help
I dont under stand please also do step by step thanks!
Answer:
7x +1
Step-by-step explanation:
If A to C is 12x + 3, And A to B is 5x - 2 then you subtract the polynomials from each other!
12x- 5x = 7x
3 -2 = 1
So the answer is 7x +1!
(If you still need help just tell me in the comments)
On in-line skates, Bradley skates 4 miles in 48 minutes. At this speed, how long would it take him to skate the entire length of a 12-mile bike path?
Answer:
144 minutes
Step-by-step explanation:
4 goes in 12 3 times so we have to do 48 times 3 too. Which is 144.
Answer:
Step-by-step explanation:
[tex]\frac{t}{12}=\frac{48}{4}\\ \\ t=144min[/tex]
Which of the following is a composite number between 1 and 10? A. 5 B. 3 C. 7 D. 4
Answer:
b
Step-by-step explanation:
Answer:
Answer is D.
Step-by-step explanation:
I hope it's helpful!
I only need the answer FAST
Cars: 1 2 3
Trucks: 4 8 12
1 : 4 = 2 : x
4 · 2 = 1 · x
8 = x
1 : 4 = x : 12
4 · x = 1 · 12
4x = 12
x = 12 ÷ 4
x = 3
(11 - 3) x [ 15 + (10 - 5)] write 3 steps using pemdas
Answer:
160
Step-by-step explanation:
Can someone help me with this geometry question ( Ill give brainliest )
The slope of one of the sides of a parallelogram is 5/8. What must be the slope of the opposite side?
Please Explain
Help would be much appreciated
Can someone help me, please??
Answer:
im gonna say its the last one
Step-by-step explanation:
all of the graphs and histograms ive seen have a 0 at the y
What’s the probability tree?
Answer:
The first event is represented by a dot. From the dot, branches are drawn to represent all possible outcomes of the event. The probability of each outcome is written on its branch.
Step-by-step explanation:
Convert x + 3y = 9 into slope-intercept form
Answer:
3y=-x+9
y=1/3x+3
Step-by-step explanation:
Omari types 300 words in 6 minutes. How many words does he type in 2 minutes?
In 1 minute?
Answer:
50 words per minute.
100 words per 2 minutes.
Step-by-step explanation:
Hope this helps!
I have an idea. We all know that Gen z is way too powerful at this point so let's turn this into Twitter for students. answer yes if you with me. also, make this blowup
A tile is 4 inches long
If 4 tiles are placed sided by side, what would be the approximate total length in centimeters? (1 in 2.54 cm)
Answer:
294.64
Step-by-step explanation:
1 inch has 2.54 centimeters.
Answer:
The Answer is B: 16 Because 1 tile is 4 inches long and 4 tiles is 4x4=16
Step-by-step explanation:
convert 131 57’ 32” to decimal degree
Answer:
131.95888888888888
Step-by-step explanation:
Your Welcome :)
Find the 31st term of 405,397,389
Answer:
165
Step-by-step explanation:
1) the difference of the given sequence is:
d=397-405=389-397= -8.
2) common view of the formula of the 'n' term is:
a(n)=a(1)+d*(n-1), where n - required number of the given sequence, a(1) - the 1st term of the given sequence, d - the difference calculated above.
3) if to perform substitution (n=31; a(1)=405 and d= -8) into the formula above, then:
a(31)=405-8*(31-1)=405-240=165.
If R, S, and T are collinear and RS + ST = RT, which of the following is true?
T is between R and S.
RS = RT
S is between R and T.
S is the midpoint of ./rt
Answer:
[tex]S \: is \: between \: R \: and \: T.[/tex]
Answer:
S is between R and T.
Step-by-step explanation:
PLease please
Mr. Voelz estimates that he will spend $10 on concessions at the basketball game. He actually spends $15. What is the percent error?
please
Answer:
He spent 150% than what he estimated.
Step-by-step explanation:
15 ÷ 10 = 1.5 = 150%
Answer: 66.67%
Step-by-step explanation: The first step is to divide 10 by 15 to get the answer in decimal form: 10 / 15 = 0.6667 Then, I multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.6667 * 100 = 66.67%
Solve for y
4y + 5x = 8.
O y = -5x + 8
O 4y = -5x + 8
O y = 5/4x + 2
O y = -5/4x + 2
Answer:
y= -5/4x+2
Step-by-step explanation:
probably wrong but it definitely is one of the bottom two answers
Answer:
yes is D. bk$kdknxnxnxncncncncncj
Please help me out tysm
Answer: 1/4 s^2 or [tex]\frac{1}{4} s^{2}[/tex]
~!!!! HELP ME PLEASE IM IN 7TH GRADE AND LEARNING 9TH AND 8TH iM SUFFERING !!!!~
QUESTION~
Find the vertex of the graph of
f(x) = −|0.75x + 1.5|. Tell whether the
graph opens upward or downward.
this is what it looks like when I graphed it.
What is the value of y?
Each circle counts as one whole. Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.
itis 8 cause we added
A plumber charges $16 for transportation and $33 per hour for repairs.
Complete the expression that can be used to find the cost in dollars for a repair that takes h hours.
An expression that can be used to find the cost in dollars for a repair that takes h hours is
h.
Pleas Help
Answer:
16 + 33h = c
Step-by-step explanation:
16 dollars is the bare minimum, plus an additional 33 dollars every hour. If hours are represented by h and the cost is represented by c, we see that:
16 + 33h = c
How do I find the density? Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds.
Answer:
The density of the pine log is 0.2842 pounds per inch.
Step-by-step explanation:
To calculate the density of an object, you must divide its mass by its volume (radius times height). Thus, given that the pine log that has a 5-inch radius and is 30 inches long, while its weight is approximately 42.63 pounds, the following calculation must be performed to determine its density:
X = 42.63 / (30 x 5)
X = 42.63 / 150
X = 0.2842
Thus, the density of the pine log is 0.2842 pounds per inch.
A bakery sold 73 bagels in the first hour of business. If the bakery had 246 bagels to start with, how many bagels were left after the first hour?
Answer:
173
Step-by-step explanation:
Answer: 173 bagels are left after the first hour.
Step-by-step explanation: if they had 246 bagels to start with, and they sold 73 in the first hour. 246-73=173.
jermain built 1/4 of a wall in 3 hours , if he built the same amouth each hour , what fraction of the wall did jermaine build each time
Answer:
1/12
Step-by-step explanation:
1/4 ÷ 3 = 1/12
Find the measure of angle x in the figure below:
15 degrees
25 degrees
30 degrees
60 degrees
Answer:
30°
Step-by-step explanation:
180-75-75=30
Asher is pet sitting for five dogs. He only has of a bag of dog food left for the day. If each dog gets the same amount, what fraction of the bag will each dog get?
Answer:
1/5
Step-by-step explanation:
u split evenly between five dogs so they will each get 1/5 of the bag