Answer: 151.4, 0.1-131
Step-by-step explanation:
25.4 centimeters per second = 10 inches per second.
Hint: there are 2.54 centimeters in 1 inch.
true or false ?
Answer:
True
Step-by-step explanation:
2.54 centimeters = 1 inch
1 x 10 = 10 inches
2.54 x 10 = 25.4 centimeters
Good luck mate :)
nikki is building a wall for her garden with bricks. each brick is 10 inches long. the bricks are laid end-to-end, and one inch of mortar is layered between each brick.
write an equation to model the number of bricks,n, nikki needs in each layer to build a wall 10 feet long
Answer:
[tex]11n-1=120[/tex]
Step-by-step explanation:
It is given that,
Length of each brick = 10 inches
Mortar between between each brick = 1 inch
For 2 bricks, we need mortar once.
For 3 bricks, we need mortar 2 times.
For 4 bricks, we need mortar 3 times.
Similarly,
For n bricks, we need mortar (n-1) times.
Total length of n bricks = 10n inches
Total length of (n-1) times mortar = 1(n-1) = n-1 inches
Total length of wall = 10n + (n-1) inches.
1 feet = 12 inches
10 feet = 120 inches
The equation to model the number of bricks,n, nikki needs in each layer to build a wall 10 feet long.
[tex]10n+(n-1)=120[/tex]
[tex]11n-1=120[/tex]
Therefore, the required equation is [tex]11n-1=120[/tex].
rewite 4/6:1/3 as a unit rate
Answer: 75
Step-by-step explanation:
find the Square root of 49/10000
Answer:
o.ooo7
Step-by-step explanation:
The square root of 49/10,000 is 0.0007.
Hope this helps
please mark as brainlist
Alisha has sixty-seven dollars and thirty one cents in her checking account. She wrote a check for ninety-one dollars and fifty-three cent to pay her electric bill. How much money will her account be overdrawn?
Assume that u⋅v=4, ‖u‖=5, and ‖v‖=3. What is the value of 4u⋅(4u−7v)?
Step-by-step explanation:
It is given that,
[tex]u{\cdot}v=4\\\\|u|=5\\\\|v|=3[/tex]
We need to find the value of [tex]4u{\cdot} (4u-7v)[/tex]
Firstly, we should simplify [tex]4u{\cdot} (4u-7v)[/tex]
[tex]4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v[/tex]
Now using distributive property : x(y-z)=xy-yz
So,
[tex]4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v\\\\=16u{\cdot}u-28{u{\cdot} v}\\\\=16|u|^2-28(u{\cdot}v)\\\\=16\times 5^2-28\times 4\\\\=288[/tex]
So, the value of [tex]4u{\cdot} (4u-7v)[/tex] is 288.
Find the amount of money accumulated if you invest $10,000 at 3% interest compounded quarterly for 2 years. Round your answer to the nearest cent.
Answer:
$10,625.99
Step-by-step explanation:
The future value formula is useful for this.
FV = P(1 +r/n)^(nt)
where interest at rate r is compounded n times per year for t years. P represents the principal invested.
FV = $10,000(1 +.03/4)^(4·2) = $10000(1.0075^8) ≈ $10,625.99
The accumulated value will be $10,625.99.
James has $20.00 in his checking account. He goes to the bank and withdraws $20.00. How much money does James have in his account immediately after withdrawing the $20.00?
Answer:
$0.00
Step-by-step explanation:
$20.00-$20.00=$0.00
The Allowance for Bad Debts account has a credit balance of 3000 before the adjusting entry for bad debts expense. The company's management estimates that 3% of net credit sales will be uncollectible for the year 2019. Net credit sales for the year amounted to 260000. What is the amount of Bad Debts Expense reported on the income statement for 2019?
Find the slope and the y-intercept of the line
[tex]y = - \frac{5}{2}x + 3[/tex]
Answer:
slope = -5/2
the y-intercept is the point (0, 3)
Step-by-step explanation:
Notice the equation is given to you already in slope-intercept form, o you can extract those values directly:
Slope is the factor accompanying the variable x , that is the fraction -5/2 and the y value of the y-intercept is the "+3" that follows.
So the slope = -5/2
and the y-intercept is the point (0, 3) because x must be always zero when the line intersects the y-axis.
The average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed. Suppose that it is reported in the news that 8% of the people living and working in Kokomo feel "very satisfied" with their commute time to work. What is the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times
Answer:
The travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times is 10.6 minutes.
Step-by-step explanation:
We are given that the average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes.
Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed.
Let X = the distribution of travel time
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = average travel time = 17 minutes
[tex]\sigma[/tex] = standard deviation = 4.5 minutes
So, X ~ Normal([tex]\mu=17, \sigma^{2} =4.5^{2}[/tex])
Now, we have to find the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times, that means;
P(X < x) = 0.08 {where x is the required travel time}
P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{x-17}{4.5}[/tex] ) = 0.08
P(Z < [tex]\frac{x-17}{4.5}[/tex] ) = 0.08
In the z table the critical value of z that represents the below 8% of the area is given by -1.43, that is;
[tex]\frac{x-17}{4.5}=-1.43[/tex]
[tex]{x-17}{}=-1.43\times 4.5[/tex]
x = 17 - 6.435 = 10.6 minutes
Hence, the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times is 10.6 minutes.
Combine like terms to create an equivalent expression −3.6−1.9t+1.2+5.1t
Answer:
-2.4+3.2t
Step-by-step explanation:
[tex]-3.6-1.9t+1.2+5.1t\\\\=(-3.6+1.2)+(-1.9+5.1)t\\\\=-2.4+3.2t[/tex]
Answer:
-2.4+3.2t
Step-by-step explanation:
Khan
does coordinate m or n represent a greater number
Answer:
m
Step-by-step explanation:
If all points are plotted on a graph, we'd see that (3, 5) and (10, 5), would be on the same horizontal level. Both points have the same y coordinate of 5.
Invariably, (0, 1) would be on the same horizontal level with (m, n). The coordinate of n, which is the y value on the y-axis would be same as 1.
The coordinate of m, which is the x-value on the x-axis would certainly be greater than 1.
Therefore, coordinate m represents a greater number.
Answer:
5
Step-by-step explanation:
If all points are plotted on a graph, we'd see that (3, 5) and (10, 5), would be on the same horizontal level. Both points have the same y coordinate of 5.
Invariably, (0, 1) would be on the same horizontal level with (m, n). The coordinate of n, which is the y value on the y-axis would be same as 1.
The coordinate of m, which is the x-value on the x-axis would certainly be greater than 1.
Therefore, coordinate m represents a greater number.
What is the solution to this equation?
6x + 10 - 2x= 7 + 23
Answer:
[tex]\boxed{x=5}[/tex]
Step-by-step explanation:
First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.
6x + 10 - 2x = 7 + 23
4x + 10 = 7 + 23
4x + 10 = 30
Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.
4x + 10 = 30
4x = 20
x = 5 is the final answer.
Combine like terms. 7-x-(-5x)-10+4x
Answer:
8x−3
Step-by-step explanation:
HOPE THIS HELPS!!!! :)
<3333333333
- 2n+1 = 3(n+ 2)
multi-step equations
Answer:
[tex] - 2n + 1 = 3n + 6 \\ - 2n - 3n = - 1 + 6 \\ - 5n = 5 \\ n = \frac{5}{ - 5} \\ n = - 1[/tex]
Answer:
n = -1
Step-by-step explanation:
Solve for n:
1 - 2 n = 3 (n + 2)
Expand out terms of the right-hand side:
1 - 2 n = 3 n + 6
Subtract 3 n from both sides:
1 + (-2 n - 3 n) = (3 n - 3 n) + 6
-2 n - 3 n = -5 n:
-5 n + 1 = (3 n - 3 n) + 6
3 n - 3 n = 0:
1 - 5 n = 6
Subtract 1 from both sides:
(1 - 1) - 5 n = 6 - 1
1 - 1 = 0:
-5 n = 6 - 1
6 - 1 = 5:
-5 n = 5
Divide both sides of -5 n = 5 by -5:
(-5 n)/(-5) = 5/(-5)
(-5)/(-5) = 1:
n = 5/(-5)
The gcd of 5 and -5 is 5, so 5/(-5) = (5×1)/(5 (-1)) = 5/5×1/(-1) = 1/(-1):
n = 1/(-1)
1/(-1) = -1:
Answer: n = -1
If G is a 3 x 4 matrix and His a 4x 3 matrix, what is the dimension of GH?
04x3
0 3x4
O 3x3
O Undefined
Answer:
3x3
Step-by-step explanation:
G is a 3 x 4 matrix and His a 4x 3 matrix
In multiplication of matrix a particular formula is used
If G = MN and H = NM then GH = MM
So G= 3x4 and H = 4x3
Then GH = 3x3
The above rule is a rule that binds matrix multiplication and allows for an easier calculations and also helps check the possibility of the multiplication.
As for the above, the multiplication is possible an the result of the multiplication will give us a 3x3 matrix
Compare |−49| and |−52|. 50 POINTS HELP ASAP PLEASE ANYONE PLEASE A) |−49| |−52| D) |−49| ≥ |−52|
Answer:
|-49| < |-52|
Step-by-step explanation:
|-49| = 49
|-52| = 52
49 < 52
--> |-49| < |-52|
Answer:
|-49|<|-52|
Step-by-step explanation:
Absolute Values
|-49|=49
|-52|=52
49<52 so
|-49|<|-52|
The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years. It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university. Assume that the proportion of students who own a cell phone at this university is the same as nationwide. Let X = the number of students in the sample of 15 who own a cell phone.
1. What is the appropriate distribution forX? **N = Normal, B = Binomial?
A. X is M(15, 0.9).
B, X is B(15, 09).
C. Xis B(15, 13.5).
D. Xis N(13,5, 1.16).
2. On average, how many students will own a cell phone in a simple random sample of 15 students?
a. 9.
b. 13
c. 13.5.
d. 14 17.
3. What is the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students?
a. 0.077.
b. 0.09.
c. 1.16.
d. 1.35.
4. What is the probability that all students in a simple random sample of 15 students own a cell phone?
a. 0.
b. 0.1.
c. 0.206.
d. 0.9.
Complete Question
The complete question is shown on the uploaded image
Answer:
1 ) The correct option B
2) The correct option is C
3) The correct option is C
4) The correct option is C
Step-by-step explanation:
From the question we are told that
The proportion that own a cell phone is [tex]p = 0.90[/tex]
The sample size is n = 15
Generally the appropriate distribution for X is mathematically represented as
[tex]X \ is \ B( n , p )[/tex]
So
[tex]X \ is \ B( 15 , 0.90 )[/tex]
Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as
[tex]\mu = n * p[/tex]
[tex]\mu = 15 * 0.90[/tex]
[tex]\mu = 13.5[/tex]
Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as
[tex]\sigma = \sqrt{ n * p * q }[/tex]
Where q is mathematically evaluated as
[tex]q = 1- p[/tex]
[tex]q = 1- 0.90[/tex]
[tex]q = 0.10[/tex]
[tex]\sigma = \sqrt{ 15 * 0.90 * 0.10 }[/tex]
[tex]\sigma = 1.16[/tex]
Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as
[tex]P(X = 15) = \left 15} \atop {}} \right.C_{15} * p^{15} * q^{15 - 15}[/tex]
[tex]P(X = 15) = \left 15} \atop {}} \right.C_{15} * (0.90)^{15} * (0.10 )^{15 - 15}[/tex]
From the combination calculator is [tex]\left 15} \atop {}} \right.C_{15} = 1[/tex]
[tex]P(X = 15) = 1 * 0.205891 * 1[/tex]
[tex]P(X = 15) = 0.206[/tex]
The appropriate distribution for X is M(15, 0.9).
On average 1.345 students will own a cell phone in a simple random sample of 15 students.
The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is 1.16.
The probability that all students in a simple random sample of 15 students own a cell phone is 0.206.
Given that,
The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years.
It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university.
Assume that the proportion of students who own a cell phone at this university is the same as nationwide.
According to the question,
Let X = the number of students in the sample of 15 who own a cell phone.
1. The appropriate distribution for X is,
the sample size is n equals 15 and the proportion of the cell phone is 90% = 0.9.
The appropriate distribution for X is M(15, 0.9).
2. On average students will own a cell phone in a simple random sample of 15 students is,
[tex]\mu = n \times p\\\\\mu = 15 \times 0.9\\\\\mu = 1.345[/tex]
On average 1.345 students will own a cell phone in a simple random sample of 15 students.
3. The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is,
[tex]\rm \sigma = \sqrt{n \times p \times q}\\\\\sigma = \sqrt{n \times p \times (1-q)}\\\\\sigma = \sqrt{15 \times 0.9 \times (1-0.9)}\\\\\sigma = \sqrt{15 \times 0.9 \times 0.1}\\\\\sigma = 1.16[/tex]
The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is 1.16.
4. The probability that all students in a simple random sample of 15 students own a cell phone is,
[tex]\rm P(X=15) = 15_C_{15} \times p^{15} \times q^{15-15}\\\\P(X=15) = 1 \times (0.90)^{15 }\times (0.10)^0\\\\P(X=15) = 1 \times 0.206\times 1\\\\P(X=15) = 0.206[/tex]
The probability that all students in a simple random sample of 15 students own a cell phone is 0.206.
For more details refer to the link given below.
https://brainly.com/question/17521208
Repeat the following procedure for the four given numbers Multiply the number by 8. Add 6 to the product . Divide this sum by 2. Subtract 3 from the quotient. The 1st number is 3. The result is
Answer:
12
Step-by-step explanation: Given:1st no. is 3
3×8=24
24+6=30
30/2=15
15-3=12
therefore,ans is 12
Answer:
The result is 12.
Step-by-step explanation:
3×8=24
24+6=30
30÷2=15
15-3=12
Hope it helps :)
2x+3y=8 9x-3y = 14
solve by substitution
Answer: x=2 and y=4/3
Step-by-step explanation:
To solve by substitution method, you want to solve for one variable, and plug it into the other equation.
Let's solve for y in 2x+3y=8.
[tex]2x+3y=8[/tex] [subtract both sides by 2x]
[tex]3y=8-2x[/tex] [divide both sides by 3]
[tex]y=\frac{8-2x}{3}[/tex]
Now that we have y, we can plug it into the second equation.
[tex]9x-3y=14[/tex] [plug in y]
[tex]9x-3(\frac{8-2x}{3} )=14[/tex] [multiply 3 and y to cancel out the 3]
[tex]9x-(8-2x)=14[/tex] [distribute -1 to 8-2x]
[tex]9x-8+2x=14[/tex] [combine like terms]
[tex]11x-8=14[/tex] [add both sides by 8]
[tex]11x=22[/tex] [divide both sides by 11]
[tex]x=2[/tex]
Since we know the value of x, we can substitute it back into any of the 2 equations to find y.
[tex]2x+3y=8[/tex] [plug in x=2]
[tex]2(2)+3y=8[/tex] [multiply 2 and 2]
[tex]4+3y=8[/tex] [subtract both sides by 4]
[tex]3y=4[/tex] [divide both sides by 3]
[tex]y=\frac{4}{3}[/tex]
Our final answer is x=2 and y=4/3.
At a store 2 hats and 4 pairs of gloves together cost $75.60. The total cost of 3 hats and 8 pairs of socks is $83.48. If the price of a hat is 3 times as much as the price of gloves, what is the total cost of 5 hats and 10 pairs of socks? Include 2 decimal places in your answer. For example if the answer is $12 enter it as $12.00.
Answer:$132.70
Just believe it
Answer: 125.7
Step-by-step explanation:
To solve the following equation for X, which operation will you need to perform? X + 2 = 5 Question 1 options: Add 2 Subtract 2 Multiply by 2 Divide by 2
Answer:
subtract 2
Step-by-step explanation:
Answer: subtract 2
Step-by-step explanation: 5-2=3
3+2=5
The ratio of girls to boys in an Algebra class is 6 to 7. If there are 18 girls, how many boys are there?
Answer:
21 boys
Step-by-step explanation:
Girls Boys
6 7 <= reflects the 6:7 ratio mentioned in the problem
---------- = ----------
18 x
Cross multiply to determine x:
6x = 7(18), or x = 7(3), or x = 21
There are 21 boys when we have 18 girls.
Suppose that the probability that a person books an airline ticket using an online travel website is 0.72. Consider a sample of ten randomly selected people who recently booked an airline ticket. What is the probability that at least nine out of ten people used an online travel website when they booked their airline ticket
Answer:
0.183
Step-by-step explanation:
This is a question on Binomial Probability
Formula =nCx × p^x × q^n - x
p = 0.72
q = 1 - p
= 1 - 0.72
= 0.28
x = number of successes = 9
n = 10
The probability that at least nine out of ten people used an online travel website when they booked their airline ticket
At least 9 out of 10 means
x ≥ 9 = x = 9 and x = 10
Hence,
P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^10 - 9) + 10C10 × ( 0.72^10 × 0.28^10 - 10)
P(x ≥ 9) = 0.14559635388 + 0.0374390623
= 0.18303541631
≈ 0.183
I'll need the answers I'm pretty slow in the head
Answer:
30) 25x^2 +28x +16
31) (15/2)x +15
32) 18x^3 -21x^2 -52x -20
Step-by-step explanation:
For a shape with a cutout, the shaded area is the difference between the area of the enclosing shape and the area of the cutout. The applicable area formulas are ...
area of rectangle: A = bh
area of triangle: A = (1/2)bh
Here, the dimensions are given as binomials (2-term polynomials), so you have to multiply those to find the areas. The distributive property is helpful for that.
__
30) shaded area = (5x+8)(6x+2) -(5x)(x+6)
= (5x)(6x+2) +8(6x+2) -5x^2 -30x
= 30x^2 +10x +48x +16 -5x^2 -30x
shaded area = 25x^2 +28x +16
__
31) shaded area = (1/2)(x+6)(2x+5) -x(x+1)
= (1/2)(x(2x+5) +6(2x+5)) -x^2 -x
= (1/2)(2x^2 +5x +12x +30) -x^2 -x
= x^2 +(17/2)x +15 -x^2 -x
shaded area = (15/2)x +15
__
32) volume = lwh = (2x -5)(3x +2)(3x +2)
= (2x -5)(3x(3x +2) +2(3x +2))
= (2x -5)(9x^2 +6x +6x +4)
= (2x -5)(9x^2 +12x +4)
= 2x(9x^2 +12x +4) -5(9x^2 +12x +4)
= 18x^3 +24x^2 +8x -45x^2 -60x -20
volume = 18x^3 -21x^2 -52x -20
simplify the equation
[tex]25 - ( \sqrt{16} - 1) \times (3 - 9) {}^{2} [/tex]
Answer:
-83
Step-by-step explanation:
25-(4-1)*(3-9)^2 [tex]\sqrt{16} =4[/tex]
25-(3)*(-6)^2 4-1=3 3-9=-6
25-3*36 -6*-6=36
25-108 3*36=108
-83
Just making sure my answers are right. Please show the steps clearly. Thank you so much
Answer: See below
Step-by-step explanation:
A.
Let's split the integral into two parts, by the Sum Rule.
[tex]\int\limits {x-4x^3} \, dx[/tex] [split into 2 integrals]
[tex]\int\limits {x} \, dx -\int\limits {4x^3} \, dx[/tex] [solve integral for each part]
[tex]\frac{1}{2} x^2-x^4+C[/tex] [Remember, we need to add C for constant]
-------------------------------------------------------------------------------------------------
B.
[tex]\int\limits {\frac{1+x}{\sqrt{x} } } \, dx[/tex] [expand into 2 integrals]
[tex]\int\limits {\frac{1}{\sqrt{x} } } \, dx +\int\limits {\frac{x}{\sqrt{x} } } \, dx[/tex] [simplify second integral]
[tex]\int\limits {\frac{1}{\sqrt{x} } } \, dx +\int\limits {\sqrt{x} } \, dx[/tex] [solve integral for each part]
[tex]2\sqrt{x} +\frac{2}{3}x^3^/^2+C[/tex]
-------------------------------------------------------------------------------------------------
C.
[tex]\int\limits^4_0 {z(z^1^/^2-z^-^1^/^2)} \, dz[/tex] [distribute]
[tex]\int\limits^4_0 {z^3^/^2-z^1^/^2} \, dz[/tex] [split into 2 integrals]
[tex]\int\limits^4_0 {z^3^/^2} \, dz -\int\limits^4_0 {z^1^/^2} \, dxz[/tex] [solve integral for each part]
[tex]\frac{64}{5} -\frac{16}{3}[/tex] [solve]
[tex]\frac{112}{15}[/tex]
-------------------------------------------------------------------------------------------------
D. *Note: I can't put -1 for the interval, but know that the 1 on the bottom is supposed to be -1.
[tex]\int\limits^1_1 {(1+u)(1-u)} \, du[/tex] [expand]
[tex]\int\limits^1_1 {1-u^2} \, du[/tex] [split into 2 integrals]
[tex]\int\limits^1_1 {1} \, du-\int\limits^1_1 {u^2} \, du[/tex] [solve integral for each part]
[tex]2-\frac{2}{3}[/tex] [solve]
[tex]\frac{4}{3}[/tex]
Dilating point A using center C and scale factor 2.5 gives image A'. Dilating point B using center C and scale factor 2.5 gives image B'. What can you say about line AB and line A'B' ?
Answer:
a+b=C
Step-by-step explanation:
because a b c
2 x 3 2 x 5 x 7 is the prime factorization of what number
Answer: 2240
Step-by-step explanation: Simplify the expression.
I hope this helps you out.
Here, 2 x 3 x 2 x 5 x 7 is the prime factorization of 420.
Given that,
To determine the number that is this prime factorization 2 x 3 2 x 5 x 7 belongs to.
Factors can be defined by splitting the value into multipliable values.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Prime factors of the number are the factors that consist of only prime numbers,
i.e.
2 x 3 x 2 x 5 x 7 = 420
Thus, 2 x 3 x 2 x 5 x 7 is the prime factorization of 420.
Learn more about Factors here:
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