Answer:
0.148 = 14.8% probability that they will need to order at least one more new transmission
Step-by-step explanation:
For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This 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.
20% of all the transmissions it installed in a particular style of truck are defective after a year of use.
This means that [tex]p = 0.2[/tex]
Sold seven trucks:
This means that [tex]n = 7[/tex]
It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?
This is the probability that at least 3 are defective, that is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]
[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]
[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]
0.148 = 14.8% probability that they will need to order at least one more new transmission
Question 9
A room is 16 feet in length. The ratio of the width to the length is 3:4.
What is the width in feet?
1.What should be the c-value in the equation shown below if the equation is a perfect square trinomial
Answer:
64
Step-by-step explanation:
a² + 2ab + b²
→ Identify the value of a
a = 1
→ Find b using a
-16 ÷ ( 2 × 1 ) = -8
→ Square the b term
( - 8 )² = 64
I need help quickly. Please help.
Answer:
Mean:
= (4 + 6 + 9 + 11 + 8 + 13 + 12) / 7
= 63 / 7
= 9 (The sum of the numbers divided by the number of numbers)
Median:
= 4, 6, 8, 9, 11, 12, 13
= 9 (The middle number of a list from least to greatest)
Mode:
= NONE (The number that appears the most in a given list)
Your experience indicates that offering a discount in your emails increases responses by 75%. Your last email, without a discount, you got 19,000 responses. If you mail to the same size list and offer a discount, how many responses would you expect?
Answer:
33250
Step-by-step explanation:
Find 1%
100% = 19000
1% = 19000 ÷ 100 = 190
100% + 75% = 175%
175% = 190 x 175 = 33250
A cylinder has a volume of 550 cubic feet. If the height of the cylinder is 15 feet, what is the radius of the cylinder? Use 3.14 for π. Round to the nearest hundredth
Answer:
r = 3.42
Step-by-step explanation:
the equation for volume is V = pi r^2 h
550 = 3.14 r^2 15
36 2/3 = 3.14 r ^2
11.6772824 = r^2
3.41720389 = r
r = 3.42
Answer:
3.42
Step-by-step explanation:
y'all help me pls no links pls
Cars A and B leave the same place and travel in the same direction along a straight road. Car A travels at 60 km/h and car B travels at 72 km/h. After how long will they be at 8km apart
The difference in speed of the two cars is 72-60 = 12 km per hour.
The time they would be 8 km apart would be 8/12 = 2/3 of an hour
1 hour = 60 minutes
60 minutes x 2/3 = 40 minutes.
The cars will be 8 km apart in 40 minutes.
Answer:
After 40 min they will be 8km apart
Step-by-step explanation:
Car A is traveling 1km per minute Car B is traveling 1.2km per minute, so Car B will gain 1km on Car A every 5 min. To be 8km apart, you calculate 5min x 8 = 40 min
find the value of x in the Triangle shown below x=?
Answer:
x = 66°
Step-by-step explanation:
unmarked angle = x because it is an isosceles triangle.
The sum of all three interior angles of any triangle = 180°
So:
2x + 58° = 180°
2x = 122°
x = 66°
1. Given sin B = 5/13 in QII, and (6.-8) is on the terminal side of a find the exact value of
sin(a + b).
Answer:
Step-by-step explanation:
that's difficult dude I'm just in grade 4
What is 2 1/2+3 1/3 pretty please help I need this answer fast
Answer:
D. 5 5/6
Step-by-step explanation:
2 1/2 + 3 1/3
= [tex]\frac{5}{2}[/tex] + [tex]\frac{10}{3}[/tex]
= [tex]\frac{15 + 20}{6}[/tex]
= [tex]\frac{35}{6}[/tex] = 5 5/6
Answer:
5 1/3
Step-by-step explanation: i am pretty sure
One earthquake has a MMS magnitude 4.1. If a second earthquake has 540 times as much energy as the first, find the magnitude of the second quake.
Answer:
This is not the case. Instead, use the equation M = 2/3log(S/S 0), where M is the amplitude of the first earthquake and S is the seismic moment. In this instance... 2/3log(S/S 0) = 3.3 log(S/S 0) = 3.3(2/3) log(S S 0) = 4.95 ten S = 10 = 4.95 = S/S 0 4.95*S 0*S 0*S 0*S 0* 610*104.95*S 0 = S 2/3log((610*104.95*S 0)/S 0) M M = 2/3log(60*104.95) M = 2/3log(60*104.95) M = 2/3log(60 5.156887 M = 5.156887 M = 5.156887 M = 5. As a result, the magnitude of the second quake is 5.156887.
Writing Activity: Analysis.
Several major events occur in Black Ships Before Troy. Choose one event to analyze, explaining how the plot unfolds and how the characters respond or change. Be sure to cite evidence from the text.
First, summarize the key event and the conflict that takes place.
Take notes on what the main characters are like and what they think and do.
Use your summary and notes as you write your essay. Include evidence from the text to support your ideas
Answer:
12345678910111213141516171819202122232425262728293031323334353637383940142434445446
Step-by-step explanation:
my name jeff
A golf cart priced at $5,600 was on sale for 20% off. The sales tax rate is 6%. What is the sale price of the golf cart, including tax?
Answer:
4,748.80
Step-by-step explanation:
FOR BRANLIEST PLEASE HELP!!
Answer:
55
Step-by-step explanation:
complementary angle means either of two angles whose sum is 90°.
we can use this to find that angle abc is 55 and since angle abc and ebf are opposite the measure the same
What is the angle of X
Answer:
∡x°=35°
Step-by-step explanation:
x° and 35° are vertical angles, so they are congruent to each other. Therefore, the measure of angle x° is also 35°
The first rule is add 10, then divide by 2 starting from 2. The second rule is multiply by 3, then subtract 2 starting from 2. What are the first four ordered pairs using the two sequences?
Question 7 options:
(2, 0), (6, 4), (8, 12), (9, 32)
(2, 2), (6, 4), (8, 10), (9, 28)
(6, 4), (8, 10), (9, 28)
(2, 2), (10, 8), (16, 20), (18, 56)
Answer:
B. (2, 2), (6, 4), (8, 10), (9, 28)
Step-by-step explanation:
I hope this helped! :D
Eli is feeling gift bags each bag will have three baseball cards which number sentence could either used to find how many bags he can fill if he has 21 cars
Answer:
7
Step-by-step explanation:
if he has to be 3 in each baseball card and has 21 cards then you would divide 21 by 3 and get 7 which is your answer.
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
b
Step-by-step explanation:
both functions are decreasing because the slope is negative :)
Answer: Function I equals 3 and Function II equals 1 and 5 over 7. Different y intercept , with a neutral slope, the functions slope are decreasing
HELP THIS IF IS FOR MY NEXT YEAR CLASS LEVEL
Answer:
there is no question? may u add one plz so i can help?
Step-by-step explanation:
Answer:
huuhhh i dont get it and whers the question¿¿¿
Which type of graph would you choose to show the number of home runs hit by each player compared to the team
total?
histogram
line graph
bar graph
circle graph
Answer:
circle graph
Step-by-step explanation:
Answer:
BAR GRAPH
Step-by-step explanation:
A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?
HELP NOW WHOEVER ANSWERS FIRST WILL GIVE BRAINLYIST
Answer:
if these are the same pictures but just tilted then the answer should be 5 units
Step-by-step explanation:
Answer:
it is 5
Step-by-step explanation:
i dont feel like a step by step
In ΔSTU, u = 890 cm, t = 810 cm and ∠T=38°. Find all possible values of ∠U, to the nearest degree.
Answer:
Answer: 43 and 137
Step-by-step explanation:
Delta math ez
5.5 as a mixed number.
Answer: 5 1/2
Step-by-step explanation:
You keep your whole number which is five, then you see that the other 5 is in the tenths place in the decimal (5.5) so you put 5 over 10 and combine the fraction (5/10) with the whole number (5) and that is 5 5/10. But you see that it is not simplified so you simplify and get 5 1/2. I hope this helps :)
A circle with center P is shown. RS and ST are tangent to circle P. What is the degree measure of angle RST
A sandbox is shaped like a regular hexagon. The side lengths are 3 ft and the apothem 3√3 ft.
What is the area of the hexagonal sandbox?
Enter your answer as a decimal to the nearest hundredth.
area = __ft²
Answer:
46.77ft^2
Step-by-step explanation:
My cousin needs help with this question.
Answer:
3 feet per minute
Step-by-step explanation:
Look at an easy to read point on a grid line intersection.
Then find the slope. Slope = constant of proportionality.
For example, look at point (2, 6) which means that when time = 2 minutes, distance = 6 feet.
(6 ft)/(2 sec) = 3 feet per minute
Answer: 3 feet per minute
using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.
Answer:
See below
Step-by-step explanation:
Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:
(ax+p)(x+q) where p+q=b and pq=c
Find the area of each figure. Round to the nearest tenth if necessary
Answer:
c. 143.8 m³
Step-by-step explanation:
The figure can be decomposed into a semicircle and a trapezoid
Area = area of semicircle + area of trapezoid
= ½(πr²) + ½(a + b)h
Where,
r = ½(9) = 4.5 m
a = 9 m
b = 23 m
h = 7 m
Area of the figure = ½(π*4.5²) + ½(9 + 23)7
Area of the figure = 31.81 + 112
= 143.8 m³
WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
