Answer: 0.9972
Step-by-step explanation:
Let x be a random variable that represents the strength of concrete cylinders.
Given: The compressive strengths of 40 concrete cylinders have an estimated mean[tex](\mu)[/tex] of 60.14 MPa and standard deviation[tex](\sigma)[/tex] of 5.02 MPa.
The probability that 10 cylinders will each have strengths between 45 and 75 MPa :
[tex]P(45<\overline{x}<75)=P(\dfrac{45-60.14}{5.02}<\dfrac{\overline{x}-\mu}{\sigma}<\dfrac{75-60.14}{5.02})\\\=P(-3.016<z<2.96)\\\\=P(z<2.96)-P(z<-3.016)\\\\=P(z<2.96)-(1-P(z<3.016))\\\\=0.9985-(1-0.9987)\ \ \ [\text{by p-value table}]\\\\= 0.9972[/tex]
Hence, The required probability = 0.9972
how to do this T-T?
The difference between 20th and 40th term is 40. Find the 100th term if the second
term is 2.
Answer:
198
Step-by-step explanation:
t20=a+19d.......1
t40=a+39d.......2
t2=a+d=2.........3
According to ques,
t40-t20=a+39d-(a+19d)=40
or,20d=40
or,d=2
Now ,putting the value of d in equation 3,we get,
a=0
t100=a+99d
=0+99×2
=198
what's the answer -5+ 8x - 9 = 3x+3)
Each answer choice below shows an equation and a value for x. Which of the following are true? Select three that apply.
A. If 3(x+6)=15, then x = 3.
B. If 4(x-7) = 36, then x=37.
C. If 5x + 10 =20 then x =2
D. If 6x-12=48, then x=10
E. If 7x-14=-28, then x=8
F. If 8x(x-4)=32, then x=8
Replace x in each equation and see which ones are true.
The answers are:
C. If 5x + 10 =20 then x =2
D. If 6x-12=48, then x=10
F. If 8x(x-4)=32, then x=8
Emeril solved this equation using the steps shown below: 4b + 2b – 3 = –21 1. Combine like terms: 6b − 3 = −21 2. Subtraction property of equality: 6b = −24 3. Subtraction property of equality: b = −4 Analyze the steps Emeril used to solve for the variable to determine if he made an error. In which step did Emeril make an error?
Answer:
Step 2: He should have added 3 to, rather than subtracting 3 from, both sides
Step-by-step explanation:
Finished assignment
Answer:
step 2
Step-by-step explanation:
0.14+0.14+0.14_________0.14×3
equal to
greater than
less than
Answer:
it is equal to
Step-by-step explanation:
0.14 + 0.14 + 0.14 = 0.42
0.14 × 3 = 0.42
2/3 of the sum of three times a number and six is 10. what is the number?
9514 1404 393
Answer:
3
Step-by-step explanation:
Let x represent the number. The problem statement tells you ...
2/3(3x +6) = 10
2x +4 = 10 . . . . . . use the distributive property
x +2 = 5 . . . . . . . . divide by 2
x = 3 . . . . . . . . . . .subtract 3
The number is 3.
__
Comment on the solution
The above shows an "alternative" solution method. The more usual way this might be done is ...
2(3x +6) = 30 . . . . . multiply by 3 to clear fractions
6x +12 = 30 . . . . . . . eliminate parentheses
6x = 18 . . . . . . . . . . . subtract 12
x = 3 . . . . . . . . . . . . divide by 6
Answer:
x=3
Step-by-step explanation:
Write the equation first, 2/3(3x+6)=10
Distribute 2, 2(3x+6)/2
Which equals 6x+12/3=10
Then multiply 3 from both sides 6x+12=30
Subtract 12
6x=18
Divide 6 from both sides
x=3
Mike buys a pack of markers for $2.85. He uses a 20% off coupon, what is the price of the markers with the coupon?
A $2.28
B $3.42
C .57
D $2.53
Answer:
c.57
Step-by-step explanation:
Mya is doing a 45-minute cardio workout. She has completed 4/5 of the workout. In how many minutes will her workout be done?
Answer:
9 minutes
Step-by-step explanation:
First, find 4/5 of 45 by multiplying 45 by 4/5:
(45)(4/5)
= 36
Then, to find how many more minutes she has left, subtract 36 from 45:
45 - 36
= 9
So, her workout will be done in 9 minutes
Answer:
9
Step-by-step explanation:
(45)/(4/5)=36
45-36 is 9
HELP WILL MAKE BRAINLIST TO WHOEVER DID IN EXPLAINATION
Answer:
The scouts hiked up the mountain in 1 mile.
Step-by-step explanation:
Juan cuts a piece of rope that is 16 meter long into 2 equal pieces. What is the length of each shorter piece of rope?
Answer:
8 meters each
Step-by-step explanation:
Mickey needs $80 to buy a fish tank for her fish. So far he shas been able to save $8. She is going to be cleaning up this weekend at the park where he makes $9 per hour. Which inequality shows the minimum number of hours h , that Mickey can work at the park to earn enough to buy the fish tank for her fish? (5 points) a 8 + 9n ≤ 80, so n ≤ 8 b 8 + 9n ≥ 80, so n ≥ 8 c 9n ≥ 80 + 8, so n ≥ 9.8 d 9n ≤ 80 + 8, so n ≤ 9.8
Answer:
.
Step-by-step explanation:
1 peso = $ .075. How many pesos (whole number) do you get for $100 ?
Answer:
133
Step-by-step explanation:
100/.75 = 133.33 = 133
Some triangles are not parallelograms
Answer:
true
Step-by-step explanation:
parallelogram a have four sides
Answer:
It is true
Step-by-step explanation
it has no 4 sides i looked it up
Anthony has been saving nickels (N), dimes (D), and quarters (Q) over the last year. He knows that he has twice as many nickels as quarters. When he takes the coins to the change machine to exchange them for paper money, he learns that he has 260 coins that total $29.75. Determine the number of each type of coin Anthony saved.
Answer:
75 number of quarters
150 number of nickels
35 number of dimes
Step-by-step explanation:
Let x, y and z be the amount of quarters, nickel and dimes respectively.
he learns that he has 260 coins, thus;
x + y + z = 260 - - - (1)
Now, we are told that he has twice as many nickels as quarters.
Thus, number of nickels = 2x
y = 2x - - - (2)
From online research, we have the following cost;
1 quarter = $0.25
1 nickel = $0.05
1 dime = $0.1
Total cost is $29.75. Therefore;
0.25x + 0.05y + 0.1z = 29.75 - - - (3)
Put 2x for y in eq (1) and eq (3) to get;
x + 2x + z = 260
3x + z = 260 - - - (eq 4)
0.25x + 0.05(2x) + 0.1z = 29.75
0.25x + 0.10x + 0.1z = 29.75
0.35x + 0.1z = 29.75 - - - (eq 5)
From eq(4), z = 260 - 3x
Thus;
0.35x + 0.1(260 - 3x) = 29.75
0.35x + 26 - 0.3x = 29.75
0.05x = 29.75 - 26
0.05x = 3.75
x = 3.75/0.05
x = 75
So, z = 260 - 3(75)
z = 260 - 225
z = 35
Since y = 2x,
Then,y = 2(75) = 150
Thus,we have;
75 number of quarters
150 number of nickels
35 number of dimes
CORRECT ANSWER GETS BRAINLIEST. Complete the square and find the answer! I genuinely need help so please only answer if you know.
Answer:
+49=(x+ 7)^2
hope that helped if yes give me brainliest and if no draw my attention by hitting the comment section
Answer:
x^2 + 14x + 49 = (x + 7)^2
Step-by-step explanation:
A car sold 120 cars in April the dealership wants to increase the number of cars sold by 15% in may how many cars will the dealership need to sell to reach there goal
Answer:
18
Step-by-step explanation:
15 x 20%=18
Answer:
138
Step-by-step explanation:
because when you add 18 to 120 it is 138
x+3+5x=
x plus three plus five x equal
Answer:
6x+3
Step-by-step explanation:
If you're just combining like terms this is the correct answer
Let f(x)=3x+1 and g(x)=2x2−1
Find f(g(2))
10
22
97
28
Answer:
f(g(2)) = 22
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Composition of functionsStep-by-step explanation:
Step 1: Define
f(x) = 3x + 1
g(x) = 2x² - 1
Step 2: Find g(2)
Substitute: g(2) = 2(2)² - 1Evaluate: g(2) = 2(4) - 1Multiply: g(2) = 8 - 1Subtract: g(2) = 7Step 3: Find f(g(2))
Define: g(2) = 7Rewrite: f(7)Substitute: f(7) = 3(7) + 1Multiply: f(7) = 21 + 1Add: f(7) = 22And we have our final answer!
y = 8x- 18
y-intercept:
x-intercept
:
Answer:
the y-intercept is -18
Step-by-step explanation:
hope i couldve help :)
(help please!) Which is a correct representation of x-2 using algebra tiles?
Answer:
its c
Step-by-step explanation:
The answer is C
Hope this helps
Use substitution to solve the system.
X= 2y-5
4x+3y=-9
Step-by-step explanation:
x=2y-5 - equation 1
4x+3y=-9 -equation 2
Replace equation 1 in equation 2
4(2y-5)+3y=-9
8y-20+3y=-9
11y=-9+20
11y=11
y=11/11
y=1
If y=1, therefore x=2(1)-5=-3
x=-3,y=1
Imagine the entrance to your local grocery store. Can you guess how many shopping cartwheels there are in the store? There is a relation between the number of carts and the number of wheels in the store.
Can you use the number of carts (x) to correctly figure out the number of wheels (y)? What would you do?
Hint: If there are two shopping carts, how many wheels are there?
Is this relation a function? Why or why not?
Answer:
I'm confused what?8<$*=&
Please help me
What is y=
You nearly have the right equation, but you should use t instead of x. Other than that, everything looks perfect.
You plant a tree that is 36 36 inches tall. After one year, the tree is 43 43 inches tall. Which expression describes the percent of increase in the tree's height
Answer: 36 - 100%
43 - x %
Step-by-step explanation 36 - 100%
43 - x %
we multiply by cross -> 36 * x = 100 / 43
we should remove '100%' from new value, because we find only increase.. no new value in percent.
x + 100 = (43 * 100)/36
x = 4300/36 - 100
x = 119+ 16/36 -100
x = 19 +4/9
express as a unit rate. $18.50 for 5 lbs
Answer:
3.7 dollars per lb
Answer:
$3.70 per lb
Step-by-step explanation:
It's asking how much money for one pound. So, right now the equation is
18.5=5lbs
divide by 5 on both sides
3.7=1lb
so, $3.70 per lb
Brainliest to right answer...plz don’t answer just for points I can’t fail this...
Answer:
Infinitely many solutions
True for all y values
Step-by-step explanation:
A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, which statement must be true? The ratio of paperback books to hardback books is 2 to 3. The ratio of paperback books to hardback books is 2 to 3. The ratio of paperback books to hardback books is 3 to 2. The ratio of paperback books to hardback books is 3 to 2. There are exactly 2 paperback books in the library. There are exactly 2 paperback books in the library. There are exactly 8 hardback books in the library. There are exactly 8 hardback books in the library.
Answer:
A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, the true statement is:
The ratio of paperback books to hardback books is 3 to 2.
Step-by-step explanation:
The number of books in the library = 5
The number of paperback books in the library = 3
Therefore, the number of hardback books in the library = 2 (5 - 3)
Then, the relationship between the paperback books and the hardback books in the library can be expressed as a ratio of 3:2. This still gives the sum of the ratios as 5, which is the total number of books in the library, including paperback and hardback books.
Darrin orders 24.5 square feet of granite countertop for his kitchen.
If hepays $428.75 for the granite, what is the cost per square foot?
Answer:
37.9
Step-by-step explanation:
Keith borrowed $102 from his dad, and he is paying him back $11 each month
Answer:
9.2
Step-by-step explanation:
102/11
i would take him 9.2 months to pay back
Ideally, he will repay the whole amount of $102 in 10 months where he will pay $11 for first 9 months and $3 in the 10th month.
Given information:
Keith borrowed $102 from his dad, and he is paying him back $11 each month.
So, Keith will pay back his dad an amount of $11 every month till the debt is cleared.
Now, the number of months required by Keith to repay will be calculated as,
[tex]\dfrac{102}{11}=9+\dfrac{3}{11}[/tex]
Now, Keith will need [tex]9+\dfrac{3}{11}[/tex] months to completely repay his debt.
Fraction of month is not an option for repayment. So, he will pay $11 regularly for 9 months which will be $99 in the repayment, and the remaining $3 will be paid by him in the 10th month.
Therefore, ideally, he will repay the whole amount of $102 in 10 months where he will pay $11 for first 9 months and $3 in the 10th month.
For more details, refer to the link:
https://brainly.com/question/14937758
What’s the angles relationship ?
Answer:
IF YOU ARE TALKING ABOUT ANGLES 1 AND 2
They add up to 180 degrees
if you want the measures of them, ANGLE 1 = 140 degrees ANGLE 2 = 180-140=40 degrees
Step-by-step explanation:
They are Supplementary angles, which means they add up to 180 degrees
HOPE THIS HELPPPSSSSSSSSSSS