Answer:
empirical rule: 81.5%
table or calculator: 81.9%
Step-by-step explanation:
The lower limit of the life range of interest has a z-score of ...
z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2
The upper limit has a z-score of ...
z = (35,000 -30,000)/5,000 = 1
Empirical rule solution
The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.
The fraction that lies within -2 to 1 standard deviations of the means is thus ...
(100% -2.5% -16%) = 81.5%
The probability the tire has a life in the desired range is about 81.5%.
__
Calculator solution
A probability calculator for the Normal distribution tells you that ...
P(-2 < z < 1) ≈ 0.8185946
The probability the tire has a life in the desired range is about 81.9%.
Can someone plz help me? 20 points and get brainliest!!!
Answer
1 is the second option, 2 is the third option
Step-by-step explanation:
for the first one divide both sides by 7 giving you z < -4
since z is less than the arrow will go to the left and will start at -4, but the will be an open circle since z is not equal to -4 answer b
for the second
it is 6/20 or 3/10
3/10 is 30% so answer c
The diameter of a basketball is approximately 24 cm. Find the volume to the nearest
hundredth. Use u = 3.14
A) 1808.64 cubic
cm
B) 5,425.92 cubic
cm
C) 7,234.56 cubic
cm
D) 57,876.48
cubic cm
Answer:
b
Step-by-step explanation:
What is the solution to the equation?
13-+x=
x--67
x=-621
X= 20
x =21
Answer:
the answer for this question is x = 13
Step-by-step explanation:
But where the option for this question?
Liz flips a coin 50 times. The coin lands heads up 30 times and tails up 20 times. Complete each statement. The theoretical probability of the coin landing heads up is ______. Based on Liz’s results, the experimental probability of the coin landing heads up is_____. The theoretical probability is than the experimental probability in this experiment________. Pls help!!!
Answer:
HEADS UP= 30/50
TAILS UP= 20/50
Answer:
HEADS UP= 30/50
TAILS UP= 20/50
Step-by-step explanation:
What is the following product?
12.18
N
30
56
EN
6V6
If MNOP is rectangle and m
Answer:
the value of x° is also 60°
B
Answer:
60
Step-by-step explanation:
n would be 60 and a triangle is 180
Identify the conclusion of the statement.
If a number is negative, then the number is less than zero.
A) a number is negative
B) a number is positive
C) the number is less than zero
D) the number is greater than zero
Answer:
C) the number is less than zero
Step-by-step explanation:
In an if ..., then ... statement, the conclusion is the phrase following "then."
Here, we have ...
If a number is negative, then the number is less than zero.
__
The conclusion is formatted in bold italics.
If 108 people attend a concert and tickets for adults cost $4 while tickets for children cost $2 and total receipts for the concert was $328, how many of each went to the concert?
Answer method 1
81 adults and 2 child.
Answer method 2
Therefore 69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending
69 : 60 = 276: 120 = 3.02 distribution.
69 x £4 = $276 + 60-18 = 42 = 42 x 2 = $84
Combined = $276+$84 = $360
We find that an extra 8 adults didnt pay either.
Making this 69 adults and 60 children where 8 adults didn't pay and 18 children didn't pay. This way this create an average 3.02 for the 108 people attending.
3.02 x 108 = $326
80 adults and 8 child
We use ratio of 108 attendees = 328/108 = 3.03 average price which shows ratio child to adult 1:2
31 adult +42 child = $124 and $82 children = $208 children
38 more adults = 38 x 4 = 120 + 36 = $156 = (38 +18 children) = $156
= $364 - 36 = 6 child not paying = 12 and 6 adults not paying = 21
Therefore 69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending
of 48 paying and attending and the other 40 children potentially being non payers and part of
Step-by-step explanation:
4+2 = 6
8+2 = 10
4+4 = 8
We look for 80+ 28 and see 8+2 accounts for 4 adults 2 child = $20
We minus the 20 in workings and realize only when we work out 80 x 4 = 320 that only 2 child was needed and not 6 child for $12 of the 28. Because of me thinking 28 was a distribution, such resource of 4 + 1 adults became just 1 extra adult and 1 extra child.
Simply as I was chasing distribution of $24
8 of 24 was kept as
8 accounts for 1 adult and 2 child. = $8
80 accounts for 60 x $4 adults = $240 + 20 x 4 = $80
240+80=320
= $320 +$20 + $8 (-$20) = $328
Here we did not have to count back to find the correct amount only go steady with 80 distribution for 81 adults and only 2 child.
Suppose you want to finish running errands by 4:00 pm. Shopping will take 20 minutes. Eating will take 25 minutes. You will meet with a friend for 15 minutes. And your travel time will be a total of 20 minutes. When should you START your errands?
Answer:
2:50 pm
Step-by-step explanation:
In order to find the amount of time it takes to complete your errands, we first have to find the time it takes to complete them.
20+25+15+10=45+25=70
So, it will take 70 minutes, or 1 hour and 10 minutes to complete your errands.
We need to find what time 1 hour and 10 minutes before 4:00 is. So, one hour before 4:00 is 3:00. Then, 10 minutes before 3:00 pm is 2:50. Therefore, you have to start your errands at 2:50 pm.
4. Given the function f(x) = 8x + 2 , evaluate f(6)
Answer:
f(6) = 50Step-by-step explanation:
f(x) = 8x + 2
then
f(6) = 8(6) + 2
= 48 + 2
= 50
____________________________
:)
What is the solution to equation 3 1/2 + p = 5 1/4?
a. p = 3/4
b. p = 2 3/4
c. p = 1/4
d. p = 1 3/4
The value of p is 1 3/4
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]p = 1\frac{3}{4} [/tex]
Answer D is correct
Step-by-step explanation:
[tex]3 \frac{1}{2} + p = 5 \frac{1}{4} \\ \frac{7}{2} + p = \frac{21}{4} \\ p = \frac{21}{4} - \frac{7}{2} \\ p = \frac{21 - 14}{4} \\ p = \frac{7}{4} \\ p = 1 \frac{3}{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.
Theoretical Probability
number of ways the event can occur
number of ways the event can occur P(event) = _____________________________________
total number of equally likely outcome
A bag contains 6 red marbles and 12 blue ones. You select one marble at random from the bag.
(1)What is the probability that you select a red marble? Write your answer in the simplest form
(2) What is the probability that you select a blue marble? Write your answer in the simplest form
1. The probability that we select a red marble is 1/3.
We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.
6/18 = (6/6)/(18/6)
(6/6)/(18/6) = 1/3
So, therefore, the theoretical probability of picking a red marble is 1/3.
2. The probability that we select a blue marble is 2/3.
We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.
Greatest Common Factor of 12 and 18 = 6
12/18 = (12/6)/(18/6)
(12/6)/(18/6) = 2/3
Thus, the theoretical probability of picking a blue marble is 2/3.
Factor
x2 + 16x + 60
Answer:
(x+10) (x+6)
Step-by-step explanation:
x^2 + 16x + 60
Factor
What 2 numbers multiply to 60 and add to 16
10*6 = 60
10+6 = 16
(x+10) (x+6)
Slove 7+x-15=-2 2/3
6 1/3
10 2/3
20 2/3
5 1/3
Answer:5 1/3
Step-by-step explanation:
Hope I helped u :)
Write a piecewise function that models each telephone billing plan. Then graph the function.
$60 per month buys 450 minutes. Additional time costs $0.35 per minute.
Answer: if 0 < x ≤ 450, y = $60.
if 450 < x ; y = $60 + (x - 450min)*$0.35
Step-by-step explanation:
Here x will represent the number of minutes.
with $60 you have 450 minutes, and you must pay 60 regardless of how much minutes you use.
so if 0 < x ≤ 450, y = $60.
now, if you call for more than 450 minutes, you get an additional of $0.35 per minute, then we have:
if 450 < x ; y = $60 + (x - 450min)*$0.35
where we use (x - 450)*$0.35 because any minute after the 450 minute mark is considerated an additional time.
So our piecewise function is:
if 0 < x ≤ 450, y = $60.
if 450 < x ; y = $60 + (x - 450min)*$0.35
if 0 < x ≤ 450, y = $60.
if 450 < x ; y = $60 + (x - 450min) × $0.35
the calculation is as follows:Here x will represent the number of minutes.
so if 0 < x ≤ 450, y = $60.
And,
if 450 < x ; y = $60 + (x - 450min) × $0.35
where we use (x - 450) ×$0.35 since any minute after the 450 minute mark is considered an extra time.
Find out more information about the graph here: https://brainly.com/question/14375099?referrer=searchResults
PLEASE HELP!!!!???: Simplify the expression 13 + (14 + x).
Answer:
27+ x
Step-by-step explanation:
Answer: 27 + x
Step-by-step explanation:
Add 13 + 14, which = 27
Now you are left with 27 + x
Simplify the expression. 5k(-6k^2 -2k+6)
Answer:
-30k^3-10k^2+30k
Step-by-step explanation:
A nutrition label states that the item contains 8 % the daily recommended amount of fiber. Rewrite this percent as a fraction
in simplest form.
Answer: 2/25
Step-by-step explanation:
The blue dot 15 at what value on the
number line?
10
2
Answer: The blue dot is 20.
Step-by-step explanation:
−5x+2y=9
y=7x
system of equation with substitution
Answer:
point Form: (1,7)
Equation form: x=1, y=7
Step-by-step explanation:
4/3=8/x-1
What is the answer?
Answer:
7
Step-by-step explanation:
x - 1 would have to equal 6 in order for this expression to be true at 8/6 will simplify to 4/3.
x - 1 = 6
add 1 to both sides to get
x = 7
Please mark me as brainliest if this helped. Thank you!
Answer:
[tex] x= 5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
5. What is the approximate height of the cylinder?
Use 3.14 for 77, and if necessary, round to the
nearest tenth.
10 ft
? ft
V = 314 ft3
Answer:
Height of the cylinder is 1ft
Step-by-step explanation:
Data ;
Volume = 314ft³
Assuming radius = 10ft
Height = ?
π = 3.14
Volume of a cylinder = πr²h
r = radius
h = height of the cylinder
Vol = πr²h
314 = 3.14 × 10² × h
314 = 314h
Solve for h,
h = 314 / 314
h = 1ft
The height of the cylinder is 1ft.
A computer manufacturer sells his products at 40% higher then it costs to make. what is the selling price of the computer given the cost to make it?
pzzzzzzzzz help me !!!!!!!!!!!!!!!
Multiply how much he is selling it for by 1.40 and you will get your answer
How many trades of Apple were made
maria collects data from a random sample of 7th graders in her school and finds out 16 out 20 7th graders participate in after school activities, how many students should maria expect to participate in after school activities if 240 total 7th graders attend maria’s school?
Answer:
192
Step-by-step explanation:
ratio of 16/20
cross multiple with x/240
20x=3840
divide
192
Which construction is being shown in the diagram?
A) Copy an angle
B) Copy a triangle
C) Construct an equilateral triangle
D) Construct the bisector of an angle
Answer:
Correct answer is option D) Construct the bisector of an angle.
Step-by-step explanation:
Angle bisector of an angle is a line that divides the angle in two equal parts.
A Line BD is called the angle bisector of [tex]\angle ABC[/tex] if
[tex]\angle ABD = \angle CBD[/tex]
Please refer to image attached.
As per the question image, if the line PW is joined it will be the angle bisector of [tex]\angle QPR[/tex].
Steps of construction of angle bisector:
1. Draw the angle QPR.
2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.
3. With the same compass opening, put the compass on Q and make an arc in the area between [tex]\angle QPR[/tex].
4. Draw an arc keeping the compass on R to cut the previous arc on point W.
Line joining the points P and W is the angle bisector of [tex]\angle QPR[/tex].
So, Correct answer is option D) Construct the bisector of an angle.
Answer: Option d
Step-by-step explanation: just took test
Which is the graph of f(x) = 3x.
Answer:
Step-by-step explanation:
The
x
-intercepts are
(
0
,
0
)
and
(
3
,
0
)
because
3
x
−
x
2
=
0
factored equals
(
x
)
(
x
−
3
)
=
0
When each of the parenthetical expressions is set equal to zero, you get
x
=
0
and
x
=
3
The vertex is
(
3
2
,
9
4
)
because the
x
-coordinate of the vertex is
x-coord. vertex
=
−
b
2
a
=
−
3
2
(
−
1
)
=
3
2
Then, you plug
3
2
into the equation for
x
and get
f
(
3
2
)
=
3
(
3
2
)
−
(
3
2
)
2
=
9
4
the graph of f(x) = 3x will be a Line.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given a equation f(x) = 3x
Comparing with the slope-intercept form of the graph:
We can see the slope of the line will be 3 and since the y-intercept is 0
Since Function f(x) will be a linear equation
Therefore, its graph would be a line.
Learn more about Linear equations here:
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Please Help!! I will give brainliest answer but only if you explain clearly and you get it correct. If you roll two fair six-sided dice, what is the probability that the dice show the same number?
Answer:
1/6
Step-by-step explanation:
The probability of one dice being a particular number is 1/6. The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.
Which number below is a prime number?
O A. 18
O B. 12
O c. 17
O D. 28
Answer: 17 is the only prime number
Step-by-step explanation:
Answer:
C 17
Step-by-step explanation:
A. 18 = 2*9 so not prime
B. 12 = 3*4 so not prime
c. 17
D. 28 = 4*7 so not prime
17 = 1*17 so the only numbers are 1 and itself so it is prime
PLEASEEEE HELP!! OFFERING 25 POINTS!!
Answer:
I havent seen questions like this many times so here is solving for b
b=-2x
Just factor and solve.
Answer:
15
Step-by-step explanation: