he production of pipes has a mean diameter of 3.25 inches and a standard deviation of .15 inches. The shape of the distribution is approximated by a normal distribution since approximately an equal number of parts are above or below average, and most parts are very close to the mean value. A part will be discarded is it has a diameter of greater than 3.5 inches or less than 3 inches. What proportion of parts are discarded from the production line
Answer:
The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
Step-by-step explanation:
[tex]Mean = \mu = 3.25 inches[/tex]
Standard deviation = [tex]\sigma = 0.15 inches[/tex]
We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more
[tex]P(Z \geq 3.5)=1-P(z<\frac{x-\mu}{\sigma})\\P(Z \geq 3.5)=1-P(z<\frac{3.25-3.5}{0.15})\\P(Z \geq 3.5)=1-P(z<-1.67)[/tex]
Refer the z table for p value
[tex]P(Z \geq 3.5)=1-0.0475\\P(Z \geq 3.5)=0.9525[/tex]
Hence the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
What is the Calculate
Answer:
From the given figure, we can see that
∠LON = ∠LOM + ∠MON
replacing the variables with the given values
77 = 9x + 44 + 6x + 3
77 = 15x + 47
15x = 30
x = 2
Finding ∠MON:
we are given that ∠MON = 6x +3
now that we know the values of x,
∠MON = 6(2) + 3
∠MON = 12 + 3
∠MON = 15°
3. Simplity: 1-7721
a. -772
b. - 7
c. 772
d. 72
Answer:
1 - 7721 = -7220 so i don't really see the answer in the choices you gave.
Step-by-step explanation:
LUCILLE'S PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR. How many pencils will fit in her pouch
HOW MANY PENCILS WILL FIT IN HER POUCH?
Answer:
The pouch would be able to hold 12.8 pencils :)
Step-by-step explanation:
because 3/8 is 37.5 and if you do that divided by 48 and add a decimal infront of the eight you will get your answer
The average of the first 3 weights was 14 pounds. The average of the next 7 was 4 pounds. What was the overall average of the weights?
Answer:
[tex]Average = 10[/tex]
Step-by-step explanation:
Given
[tex]First\ Three = 14[/tex] --- Average
[tex]Next\ Seven= 4[/tex] --- Average
Required
Determine the overall average
Represent the sum of the first three with x.
So:
[tex]\frac{x}{3} = 14[/tex]
Solve for x
[tex]x = 14 * 3[/tex]
[tex]x = 42[/tex]
Represent the sum of the next seven with y.
So:
[tex]\frac{y}{7} = 4[/tex]
Solve for y
[tex]y = 4 * 7[/tex]
[tex]y = 28[/tex]
The overall average is calculated as thus:
[tex]Average = \frac{x + y}{7}[/tex]
[tex]Average = \frac{42 + 28}{7}[/tex]
[tex]Average = \frac{70}{7}[/tex]
[tex]Average = 10[/tex]
The altlas v rocket could go 1 full mile in just 1/10 of a second. How fast did it travel?
Answer:
10 miles per second
Step-by-step explanation:
The computation of the fastage did it travel is shown below:
As per the question, it is mentioned that
1 full mile for just 1 by 10 of a second
Based on the above information
If 1 by 10 seconds is equivalent to one mile,
So, 10 by 10 (1) second would be equivalent to 10 miles per second.
hence, it could be fast by 10 miles per second
Complete the following proof.
Answer:
BD = CA ⇒ Proved down
Step-by-step explanation:
From the given figure
∵ AB and CD are diameters in circle O
∴ OB = OA = OC = OD ⇒ radii
∵ AB ∩ CD at O
∴ ∠BOD and ∠COA are vertically opposite angles
∵ The vertically opposite angles are equal in measures
∴ m∠BOD = m∠COA
→ In Δ OBD and Δ OCA
∵ m∠BOD = m∠COA ⇒ vertically opposite angles
∵ OB = OC ⇒ radii
∵ OD = OA ⇒ radii
∴ Δ OBD and Δ OCA are congruent by SAS postulate
→ From congruency
∴ BD = CA
Round 543,982 to the nearest hundred thousand
Answer:
500,000
Step-by-step explanation:
Please give brainleist
Answer:
500,000
Step-by-step explanation:
The hundred thousands place is bold so you can tell where it is. 543,982
To round you look at the 4 since it is below 5 you round down and it'll remain as 500,000
Hope that helps and have a great day!
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEESSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Trent told his friends it would take him 90 minutes to mow the lawn. It only took him 75 minutes. What is his percent error?
His per cent error is 16.¯^6%
Explanation:
Trent estimated his time to be 90m but the Actual time was 75m
Error was 90m−^75m=15m
A Fractional error was then 15m90m
So % error is 1590 ×100=1006%=16.¯^6%
Answer:
His percent error is 16.6 %
Step-by-step explanation:
Trent estimated hie time to be 90m
Actual time was 75m
Error was 90m - 75m = 15m
Fractional error was then 15m/90m (divide)
So % error is 15/90 times 100 = (100/6)% = 16.6%
1,24,816,3264,12825,651210?
what is the next number
Answer:
3768068
Step-by-step explanation:
idk how i just googled a pattern analyzer
The next number in the sequence is 2420484
Given: The sequence of numbers 1, 24, 816, 3264, 12825, 651210
To find: The next number in the sequence
First we note that the number of digits in each term of the sequence increases by one and is equal to the place of the term in the sequence. So, the first term has 1 digit, the second term has 2 digits, the third term has 3 digits and so on.
The next term in the sequence should be the seventh term of the sequence and should have 7 digits.
Now, the geometric sequence starting from 1 and having a factor of 2 is given by,
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096,...
Now, we note that the terms of the given sequence are obtained by concatenating the digits of consecutive terms of the above sequence until the required number of digits are reached.
So, the first term, which has a limit of 1 digit, becomes 1
The second term, which has a limit of 2 digits, becomes the concatenation of 2 and 4, that is, 24
The third term, which has a limit of 3 digits, becomes the concatenation of 8 and 16, that is, 816
The fourth term, which has a limit of 4 digits, becomes the concatenation of 32 and 64, that is, 3264
The fifth term, which has a limit of 5 digits, becomes the concatenation of 128 and 256. However, since the fifth term has a limit of 5 digits. So, the term becomes 12825 with the 6 being carried over to the next term.
The sixth term, which has a limit of 6 digits, becomes the concatenation of 6 (carried over from the previous term), 512 and 1024. However, since this term has a limit of 6 digits. So, the term becomes 651210 with the 24 being carried over to the next term.
So, the next term (seventh term) should be the concatenation of 24 (carried over from the previous term), 2048 and 4096. However, this term should have a limit of 7 digits. So, the term should be 2420484 with 096 being carried over to the next term.
So, the next number should be 2420484.
Learn more about patterns of numbers here:
https://brainly.com/question/14060365
Can you give me an answer to this problem? 100m + 60m + ?m
Pythagorean thereon
Answer:
116.62m
Step-by-step explanation:
[tex]c= \sqrt{a^2+b^2} = \sqrt {100^2+60^2} approx. 116.61904[/tex]
We invested $10000 into two bank accounts. One account earns 14% per year, the
other account earns 8% per year. How much did we invest into each account if after
the first year, the combined interest from the two accounts is $1238?
HELP ME
Answer:
Hi, there--
THE PROBLEM:
We invested $10,000 in 2 bank accounts. One account earns 14% per year the other earns 8%
per year. How much did we invest into each account if after the first year, the combined
interest from the 2 accounts is $1238?
A SOLUTION:
Define Variables:
Let x be the amount you originally invested in the first account.
Let y be the amount you originally invested in the second account.
Write Expressions and Equations:
Since you invested a total of $10,00 in two accounts. An equation that represents this is
x + y = 10000
One account (say the first one) earns 14% per year. Recall that the decimal form of 14% is
0.14. An expression for the amount of interest you earn after the first year in this account is
0.14x.
The other account earns 8% per year. The decimal representation of 8% is 0.08. The amount
of interest you earn after one year in this account is 0.08y.
The combine interest from both account after one year is $1238. An equation representing
the total interest earned is
0.14x + 0.08y = 1238
Now we have a system of two equations with two variables. We can solve for x and y. Rewrite
the first equation in "y=" form.
x + y = 10000
y = 10000 - x
Substitute 10000-x for y in the second equation.
0.14x + 0.08y = 1238
0.14x + 0.08(10000 - x) = 1238
Solve this equation for x. Use the Distributive Property to clear parentheses.
0.14x + 800 - 0.08x = 1238
Combine like terms (0.14x-0.08x is 0.06x).
0.06x + 800 = 1238
Subtract 800 to both sides to isolate x on the left.
0.06x = 1238 - 800
0.06x = 438
Divide both sides of the equation by 0.06.
x = 438/0.06
x = 7300
In the context of this problem, x=7300 means that you invested $7300 in the first account.
Since you invested a total of $10000, you invested 10000-7300=$2700 in the second account.
Check your work by verifying that these amounts will yield the correct amount of interest.
Substitute 7300 for x and 2700 for y in the interest equation.
0.14x + 0.08y = 1238
0.14(7300) + 0.08(2700) = 1238
1022 + 216 = 1238
1238 = 1238
Check!
Hope this helps! Feel free to email if you have any questions about the
The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height of the triangle?
A. 3in, 9 in
B. 8in, 24 in
C. 2in, 6in
D. 4in, 12in
Answer:
D. 4in, 12in
Step-by-step explanation:
Area of triangle = 24in²
Unknown:
Base and height of the triangle = ?
Solution:
The area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
From the problem,
base = [tex]\frac{1}{3}[/tex] x height
let the base = b
height = h
b = [tex]\frac{1}{3}[/tex]h
h = 3b
Input into the formula of area;
24 = [tex]\frac{1}{2}[/tex] x b x 3b
Mulitply through by 2;
48 = 3b²
b² = 16
b = √16 = 4
So, h = 3b= 3 x 4 = 12in
the product of x and y is less than or egual to 4 written as an algebraic inequality.
Answer:
(x*y)<4
Step-by-step explanation:
Answer:
xy≤4
I hope this helps!
A $60 skateboard is only $51 after a sale. Find the percent of discount
Answer:
15% off
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary). (-6,5) and (3,-7)
The distance between points (-6,5) and (3,-7) is 15 units.
How to find the distance between two points?In the coordinate plane, the points are denoted by coordinate and the distance means the physical distance between them.
Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
Given the points (-6,5) and (3,-7)
Here x₁ = -6 , x₂ = 3
y₁ = 5 and y₂ = -7
So,
[tex]d = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {5 +7 } \right)^2 }[/tex]
d = √225
d = 15 units.
Hence "The distance between points (-6,5) and (3,-7) is 15 units".
To learn more about the distance between two points,
https://brainly.com/question/24485622
#SPJ2
5 poin
Only two serve attempts are allowed, except in the event of a let (the ball
touches the net on the serve and lands in the proper service court; let
serves are replayed).
True
False
Answer:
true
Step-by-step explanation:
if the ball lands on the team who served the ball's side of the court they are allowed to replay it. :)
Write the number in
standard form
6 tens+7=
Answer:
60 + 7 =
Step-by-step explanation:
its correct lol omg sjsjsjjsjsjsssjsjsnsnssn
Answer:
Answer: 67
10 x 6 + 7 = 67
What is the lenght of the hypothesis in the triangle?
Answer:
ok in this case will represent the height with a the bells with b and the hypotenuse with c so it will be c squared is equals to a squared plus b squared 12 squared + 5 squared is equals to c squared 12 square is 144 while 5 squared is 25 when added it is 169 so csquared is equals to 169 to get c we find √ 169 source is equals to 13
Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1 4 of a cup of red onions. If they have 1 1 2 cups of red onions, how many batches of salsa can they make? batches of salsa (Enter all mixed numbers as x y/z.)
Answer:
They can make six salsa batches
Step-by-step explanation:
Here, we are told that each salsa batch require 1/4 of a cup of red onions and they have 1 1/2 cups, we want to know the number of batches of salsa that can be made
Mathematically, that would be 1 1/2 divided by 1/4
That is;
3/2 divided by 1/4
Hence;
3/2 * 4/1 = 12/2 = 6
They can make six batches of salsa
f(x) = 5x3 + 2x2
35x
14
-
Answer:
651
Step-by-step explanation:
f(x) = 5×3 + 2×2
35x
14
= 5×3 = 15
= 2×2 = 4
= 15 + 4
= 19
35(19) - 14
= 665 - 14
= 651
PLS HELP QUICKLY WILL GIVE BRAINLIEST
Answer:
the first one
Step-by-step explanation: it is your answer because when you solve it i gt that answer i calculated it in a calculator and then showed to the teahcre and said that it was crrect please mark me as brainlist
Ashley is buying mulch for her square garden. She measures one side of her garden to be 7.4 feet. How many square feet is her garden?
f72
Answer:
Step-by-step explanation:
Area of a square = Length * Length
Given
Length of garden = 7.4feet
Area of the square = 7.4 * 7.4
Area of the square = 54.76 ft²
Hence the area of the garden is 54.76 ft²
Carmen creates the ratio table above based on one 8-ounce serving of juice.
How many total calories will 4 servings of juice contain?
420
520
650
780
I’ll give you brainiest!
Answer:
520. Becuase with each serving added the total calories go up by 130, 130+390=520.
question 16 i mark as brainliest
Answer:
A
Step-by-step explanation:
On January 1, 2019, the balance in Tabor Co.'s Allowance for Bad Debts account was $13,966. During the first 11 months of the year, bad debts expense of $21,297 was recognized. The balance in the Allowance for Bad Debts account at November 30, 2019, was $9,797.
Answer:
(a) What was the total of accounts written off during the first 11 months?
(b) As the result of a comprehensive analysis, it is determined that the December 31, 2010, balance of the Allowance for Bad Debts account should be $9,450. Show the adjustment required in the journal entry format.
a. Bad debt written off = Opening Balance in bad debt allowance account + Bad debt expense recognized during the period - Closing balance in bad debt allowance account
Bad debt written off = $13,966 + $21,297 - $9,797
Bad debt written off = $25,466
Therefore, the total of accounts written off during the first 11 months is $25,466
b. Date Description and Explanation Debit Credit
31-Dec Allowance for bad debts $347
($9,797 - $9,450)
Bad debt expenses $347
($9,797 - $9,450)
(To record adjustment of allowance of bad debt account)
f) graph the function in part e. (10 points)
Answer:
Step-by-step explanation:
Given: $1.99 as the fee per book (slope) & fixed fee of $3 (y-intercept)
The function can be written out f(x) = 1.99x + 3.
Express the value of f(x) for x = 0.
This would cancel out the slope, giving us a horizontal line on (0, 3).
f(0) = 1.99(0) + 3
f(0) = 3
You can try to graph the function using a software or by hand.
The graph is continuous because the x-values can have any input as a point.
The third-grade chorus performs a musical for the school. The musical lasts 42 minutes. It ends at 1:59 p.m. What time did the musical start?
Answer:
1:17 pm
Step-by-step explanation:
Answer:
1:17pm
Step-by-step explanation:
59 - 42= 17
Explaining the Multiplication and
Explain the rules for multiplication and division comet
units. How do you know when to multiply and when
divide to convert units of measurement
Write three to four sentences
sample response: To convert larger units to smaller units, multiply. When the units are smaller, you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger, you need fewer of them to express the same measure.
help help help math math math
Answer:
75 degrees
Step-by-step explanation:
Well, I mean, that this is simple (I think) because a complementary angle is angles that add up to a 90 degree angle.
So if an angle is three times than another and add up to 90 degrees,
then it has to be 75 and 25 because 75+25=90 and 75/3=25 and 25x3=75.
Hope this is what you're looking for!
Answer:
hi
Step-by-step explanation:
