Answer:
The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.
P(3.9≤X≤4.3) = 0.9922
Step-by-step explanation:
Step(i):-
Given that the mean of the Normal distribution = 4.1mm
Given that the standard deviation of the Normal distribution = 0.0075mm
Let 'X' be the random variable in a normal distribution
Given that X₁ = 3.9mm
[tex]Z_{1} = \frac{X_{1} -mean}{S.D}[/tex]
[tex]Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666[/tex]
Given that X₂ = 4.3mm
[tex]Z_{2} = \frac{X_{2} -mean}{S.D}[/tex]
[tex]Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666[/tex]
Step(ii):-
The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.
P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)
= P(Z≤2.666)-P(Z≤-2.666)
= 0.5 +A(2.666) - (0.5-A(2.666)
= 2 × A(2.666)
= 2×0.4961
= 0.9922
Final answer:-
The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.
P(3.9≤X≤4.3) = 0.9922
Raymond's hair was 13 centimeters long after his last haircut, and it grows 7 centimeters
every year. Raymond last got his hair cut 6 years ago. How long is it now? Write and solve an
equation to find the answer.
DUE IN A HALF HOUR! HELP QUICK!
Answer:
x<=4, put the closed circle on "4" with the arrow going all the way left
The length and breadth of a rectangular ground is 30 m and 20 m respectively.A boy moves around the ground 5 times early morning everyday.Find the distance covered by him?
Answer:
500m
Step-by-step explanation:
a rectangle has 4 sides, so 30=60 and 20=40
60x5=300
40x5=200
300+200=500
500m
reason of 500
The main reason for this is he ran AROUND the rectangle and did it 5 TIMES, doing it once would be 100m.
The ratio of teacher to student in a school
is 1:18. There are 540 students. How
many teachers are there in the school?
Please answer me fast
Answer:
30
Step-by-step explanation:
teacher x
student 18x
18x=540
x=30
If triangle ABC has sides of lengths 6, 10, and x + 3, between which two numbers must the value of x lie?
Answer:
Step-by-step explanation:jhbhbhjvjhvkhvmvghv
PLEASE HELP! THIS IS DUE IN 10 MINS (I WILL GIVE BRAINLIEST)
SHOW UR WORK PLEASE
Answer:
35
Step-by-step explanation:
if chiefs lost by 25, packers have 25 more points.
packers - 25 = chiefs
equation: packers - 25 = 10
packers = 10 + 25
packers = 35 points
Answer:
35 pts
Step-by-step explanation:
10+25=35
10+10=20
+15
35
lol
Definitely could use some help. Would also be really appreciated if someone gave a breakdown of how they solved it. Thank you!!!
The rest of the side where the 8 is would 20 (28-8)
Set up proportions:
8/10 = 20/3x-5
Cross multiply
200 = 24x-40
Add 40 to both sides
240 = 24x
Divide both sides by 24
X = 10
Solve for the equation: 3x-5 = 3(10)-5 = 30-5 = 25
PLEASE HELP!!!!!! ILL MAKE BRAINLIEST
Answer:
x = 17
Step-by-step explanation:
75 = 4x + 7
68 = 4x
x = 17
Answer:
17
Step-by-step explanation:
Set equal to each other
Subtract 7 from 75
Divided the answer (68) by 4
Receive the answer 17
Hope this helps, have a good day.
What percent of 134 is 66? (To the nearest tenth of a percen t)
Answer: 49.25
Step-by-step explanation:
Margie has a $50.00 budget to purchase a $45.00 pair of boots. If there is an 8% sales tax rate, Margie will be how much under budget?
Answer:
$1.40
Step-by-step explanation:
First, 8% of $45
45*0.08=3.6
45+3.6=48.6
50-48.6=1.4
I need help please!!!!
Answer:
Step-by-step explanation:
Maybe A Emma, but how can we really know what Zhan, he could have any one of those in mind.. but not really figure it out with those straws :/
Daniel says that more than half the students spent 2 1 2 hours or more on homework. Liz says more than half the students spent less than 2 1 2 hours on homework. Who is correct? Explain.
Answer:
Liz is correct
Step-by-step explanation:
Given
See attachment for complete question
Required
Who is correct? Daniel or Liz
From the attached data, we have:
[tex]Time: 1\frac{3}{4},\ 2\frac{1}{2},\ 2,\ 2\frac{3}{4},\ 1,\ 1\frac{3}{4},\ 1\frac{1}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4},\ 2,\ 2[/tex]
The total number of students is:
[tex]n = 12[/tex]
The data that represents [tex]2\frac{1}{2}[/tex] or more is:
[tex]Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}[/tex]
The frequency of this is 5
The frequency that represents [tex]2\frac{1}{2}[/tex] or less will be 7
This means that less than half spend [tex]2\frac{1}{2}[/tex] or more
and more than half spend [tex]2\frac{1}{2}[/tex] or more
Hence, Daniel is incorrect. Liz is correct
If the airplane had to return to the airport, how far would it have to travel?
A. 154.11 miles
B. 283.8 miles
C. 207.70 miles
D. 249.22 miles
Please help!! :00
Answer:
The answer is B. 283.8 miles.[tex]\sqrt{b^2[/tex]
Step-by-step explanation:
Using the cosine rule:
b^2 = a^2 + p^2 - 2ap(cosB)
b^2 = 172.20^2 + 111.64^2 - 2 x 172.20 x 111.64(cos177.29)
b^2 = 42,116.33 - 38,448.82(cos177.29)
b^2 = 42,116.33 - (-38,405.82)
b^2 = 42,116.33 +38,405.82
b^2 = 80,522.15
[tex]\sqrt{b^2[/tex] = [tex]\sqrt{80,522.15}[/tex]
b = 283.76 miles = 283.8 miles
Find the total lateral area of the following
cone. Leave your answer in terms of .
4 cm
3 cm
LA = [ ? ]cm?
Hint: Lateral Area of a Cone = tre
Where e = slant height
Answer:
Step-by-step explanation:
Answer:
200π cm^2
Step-by-step explanation:
Sb = 8^2 π = 64π cm^2
a = sqrt2 [8^2 + 15^2] = sqrt2 [64 + 225] = sqrt (289) = 17 cm
Sl = 8x17xπ = 136 π cm^2
SA = 136π + 64π =200π cm^2
Hope it helps you
I tried a lot on this
Answer:
LA = 15 cm2
Step-by-step explanation: Trust me.
NEED ANSWERS NOW!! (Reward) brainlest and pointsss
Answer:
B
Step-by-step explanation
f(x)=x2-4x-5
Becomes
f(x)=x2-5x+x-5
Take out the common factor
f(x)=(x-5)(x+1)
Equate the given function equal to 0
0=(x-5)(x+1)
And then
x-5=0 -- x=5
x+1 = 0 == x=-1
Answer:
B
Step-by-step explanation:
we are given a quadratic function
we want to figure out the form which we don't need change
so according to the question
[tex] \displaystyle{x}^{2} - 4x - 5 = 0[/tex]
rewrite -4x as x-5x:
[tex] \displaystyle{x}^{2} + x - 5x- 5 = 0[/tex]
factor out x:
[tex] \displaystyle \: x({x}^{} + 1)- 5x- 5 = 0[/tex]
factor out -5:
[tex] \displaystyle \: x({x}^{} + 1)- 5(x + 1 )= 0[/tex]
group:
[tex] \displaystyle \: (x + 1 )(x - 5)= 0[/tex]
hence our answer is B
The following are the ages (years) of 5 people in a room:
14, 24, 24, 20, 24
A person enters the room.
The mean age of the 6 people is now 21.
What is the age of the person who entered the room?
Step-by-step explanation:
vote
Answer:Step-by-step explanation:mean=23+20+15+17+A/6=1923+20+15+17+A=19(6)43+32+A=11475+A=114A=39 More
Answer:
14+24+24+20+24=106
106 divide by 6=17.66
round of the answer to the nearest =18
Somebody please give me the answer (AND DO NOT GIVE ME A DOWNLOAD LINK. I AM NOT RISKING MY COMPUTER FOR JUST A MATH QUESTION.). Give me the shortest answer and a step-by-step explanation.
Answer:
yea i know bitly is a scam
Step-by-step explanation:
what is negative 8 plus ninety two
Answer:84
Step-by-step explanation:
-8+92
Lo puedes dar la vuelta
92-8= 84
Answer:
84
Step-by-step explanation:
So -8 + 92 = 92 - 8
92
- 8
______
84
So, -8 + 92 = 84
hope this helps:)
QUICK GIVING BRAINLIEST TO THE CORRECT ANSWER
0.91 as a percent is 91%
Answer:
91%
Step-by-step explanation:
0.91 = 91/100 = 91%
Abdul rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 76 cents for each mile driven. Abdul had to pay
$181.87 when he returned the truck. For how many miles did he drive the truck?
miles
х
?
Answer:
The truck drove 213 miles.
Step-by-step explanation:
181.87-19.99= 161.88
161.88÷0.76= 213
Can one of y’all help me with this pls
Answer:
D
Step-by-step explanation:
D says four-tenths and 2 times 2 is 4 and 5 times 2 is 10 so 2/5 is equal to 4/10.
HELP PLZ BRAINIEST TO WHOEVER RIGHT
Answer:
5, 11, 10, 4, 19 ,2, 12
Step-by-step explanation:
9 is the mean
Standard deviation is 5.398 | Rounded = 5.4
Answer:
mean 9
deviation 5.8
Step-by-step explanation:
is it possible to form a triangle with sides that each measure 3? what about 3,3 and 9?
Answer:
No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: No; 9. ... No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Answer:
Yes. An Equilateral Triangle have same angles and sides.
All sides are equal.
A reindeer can fly at a speed of 40 miles an hour. How far will fly in 2 1/2 hours
Answer:
100 miles
Step-by-step explanation:
Hope this helps
need help thank u
:)
The area of the base is 1/2 x s x s = 1/2 x 12 x 12 = 72 square cm
Volume = area of base x height/3
Volume = 72 x 14/3 = 336 cm^3
SUBSTITUTION METHOD ALGEBRA
Answer:
I think x=0, and y=4
Step-by-step explanation:
P.S. I'm sorry if I'm wrong!
Tell me which lines to which plz
Answer:
cereal bowl- 2 cups
baby food jar- 4 fluid ounces
soda can- 12 fluid ounces
swimming pool- 1000 gallons
large can of paint- 1 gallon
need help with this question lol
Answer:
5
Step-by-step explanation:
8 times 15 equals 120, so if the volume is 600, 600/120 or 600/ 8 times 15 is equal to 5
helppppppppppppppppppppp
Answer:
The answer is C
Step-by-step explanation:
(-1,-1) when put into both equations are the same thing.
Look at the data on the line plot. A line plot shows a number line 0.1 to 0.7 in intervals of 0.1. 0.1 has 1 dot. 0.5 has 2 dots. 0.6 has 4 dots. 0.7 has 1 dot. Which data value would be considered the outlier? Enter your answer in the box.
Answer:
0.1 is the outlier
Step-by-step explanation:
Though the question has a missing attachment (of the line plot), the question can still be answered.
The given data can be represented as;
[tex]\begin{array}{cc}{} &{Dots} & {0.1} & {1} & {0.5} & {2} & {0.6} & {4} & {0.7} & {1} \ \end{array}[/tex]
Notice that 0.1 is not as close as to other data as the closeness of 0.5, 0.6 and 0.7.
This implies that 0.1 is an outlier.
Answer:
0.1 is the outlier
Step-by-step explanation:
Look at the data on the line plot.
A line plot shows a number line 0.1 to 0.7 in intervals of 0.1. 0.1 has 1 dot. 0.5 has 2 dots. 0.6 has 4 dots. 0.7 has 1 dot.
Which data value would be considered the outlier? Enter your answer in the box