Answer:
=16xy−31xz−9yz
Step-by-step explanation:
The required simplified solution of the given expression is 16xy - 9yz -31xz.
Given that,
To determine the simplified solution of the given expression,
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,
= (-15xz-4xy)+(20xy-9yz-16xz)
Adding the coefficients of the alike terms.
= 16xy - 9yz -31xz.
Thus, the required simplified solution of the given expression is 16xy - 9yz -31xz.
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Mrs. Archer is doing a painting project with her art class. She uses a large jug with 28.5 ounces of blue paint to fill 6 smaller bottles. If she divides the paint evenly, how much paint will be in each bottle?
Answer:
4.75 will be how much is in each bottle.
In a chemical plant, 24 holding tanks are used for final product storage. Four tanks are selected at random and without replacement. Suppose that six of the tanks contain material in which the viscosity exceeds the customer requirements.
a. What is the probability that exactly one tank in the sample contains high-viscosity material?
b. What is the probability that at least one tank in the sample contains high-viscosity material?
c. In addition to the six tanks with high viscosity levels, four different tanks contain material with high impurities. What is the probability that exactly one tank in the sample contains high-viscosity material and exactly one tank in the sample contains material with high impurities?
Answer:
a) P(A) = 0,4607 or P(A) = 46,07 %
b) P(B) = 0,7120 or 71,2 %
c) P(C) = 0,2055 or P(C) = 20,55 %
Step-by-step explanation:
We will use two concepts in solving this problem.
1.- The probability of an event (A) is for definition:
P(A) = Number of favorable events/ Total number of events FE/TE
2.- If A and B are complementary events ( the sum of them is equal to 1) then:
P(A) = 1 - P(B)
a) The total number of events is:
C ( 24,4) = 24! / 4! ( 24 - 4 )! ⇒ C ( 24,4) = 24! / 4! * 20!
C ( 24,4) = 24*23*22*21*20! / 4! * 20!
C ( 24,4) = 24*23*22*21/4*3*2
C ( 24,4) = 24*23*22*21/4*3*2 ⇒ C ( 24,4) = 10626
TE = 10626
Splitting the group of tanks in two 6 with h-v and 24-6 (18) without h-v
we get that total number of favorable events is the product of:
FE = 6* C ( 18, 3) = 6 * 18! / 3!*15! = 18*17*16*15!/15!
FE = 4896
Then P(A) ( 1 tank in the sample contains h-v material is:
P(A) = 4896/10626
P(A) = 0,4607 or P(A) = 46,07 %
b) P(B) will be the probability of at least 1 tank contains h-v
P(B) = 1 - P ( no one tank with h-v)
Again Total number of events is 10626
The total number of favorable events for the ocurrence of P is C (18,4)
FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!
FE = 18*17*16*15/4*3*2 = 3060
Then P = 3060/10626
P = 0,2879
And the probability we are looking for is
P(B) = 1 - 0,2879
P(B) = 0,7120 or 71,2 %
c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i
having 4 with t-i tanks is:
reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:
FE = 6*4* C(14,2) = 24 * 14!/12!*2!
FE = 24* 14*13*12! / 12!*2
FE = 24*14*13/2 ⇒ FE = 2184
And again as the TE = 10626
P(C) = 2184/ 10626
P(C) = 0,2055 or P(C) = 20,55 %
What number is not an integer
3407, 6.729, 0, -46
Answer:
6.729
Step-by-step explanation:
Integers only include plsitive and negative numbers and zero. 6.729 is a number alright but it is a fractional or decimal number.
2. Ten football teams are playing in a league.
Each team played each of the other teams exactly
once. How many matches were played in the
league?
please give the answer to this
Answer:
l;k
Step-by-step explanation:
qwdefr
Answer:
a= -7, b= 4
Step-by-step explanation:
Please see the attached picture for the full solution.
6.785 3 rounded to the nearest thousand
Answer:
6.8
Step-by-step explanation:
Answer:6.7850 also it's thousandth :)
Step-by-step explanation:
The signed-rank test can be adapted for use in testing H0: μ = hypothesized value, where μ is the mean of a single population (see the last part of this section). Suppose that the time required to process a request at a bank’s automated teller machine is recorded for each of 10 randomly selected transactions, resulting in the following times (in minutes); 1.4, 2.1, 1.9, 1.7, 2.4, 2.9, 1.8, 1.9, 2.6, 2.2. Use the one-sample version of the signed-rank test and a .05 significance level to decide if the data indicate that the mean processing time exceeds 2 minutes.
Answer:
There is not enough evidence suggesting that the mean processing time exceeds 2 minutes.
Step-by-step explanation:
The hypothesis can be defined as follows:
H₀: The mean processing time is 2 minutes, i.e. μ = 2.
Hₐ: The mean processing time exceeds 2 minutes, i.e. μ > 2.
The significance level of the test is, α = 0.05.
Recorded Time (x) (x - μ) + Ranks -Ranks
1.4 -0.6 8
2.1 0.1 1
1.9 -0.1 1
1.7 -0.3 6
2.4 0.4 7
2.9 0.9 10
1.8 -0.2 4
1.9 -0.1 1
2.6 0.6 8
2.2 0.2 4
TOTAL 30 20
Sum of +Ranks = 30
Sum of -Ranks = 20
Test statistic = Min (∑+Ranks, ∑-Ranks)
= Min (30, 20)
= 20
Compute the critical value using the Wilcoxon Signed-rank test table.
Critical value = 11
As the test statistic value is more than the critical value, the null hypothesis was failed to be rejected.
Thus, there is not enough evidence suggesting that the mean processing time exceeds 2 minutes.
ALGEBRA Evaluate the expression if x = –8, y = 7, and z = –11.
x – 7
Answer:
-15
Step-by-step explanation:
x= -8 (-8)-7= -15
Find the mean
-21,-34,-37,-52,-56
Help me please this is due in 5 minutes
Based only on the given information, it is guaranteed that AD
= DB
Answer:
true
Step-by-step explanation:
Congruent triangles are exact same triangles, but they might be placed at different positions. The statement is true.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes the length of line segment AB, and so on for others).
In the two triangles, ΔACD and ΔBCD,
DC is the common side
∠ADC = ∠BDC = 90°
∠ACD = ∠BCD (Given)
Thus, the two triangles are congruent and the sides AD≅DB.
Hence, the statement is true.
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Divide (x square root 3 +2 x square root 2 - 6x - 9) by (x + 3).
A) x square root 2 - x - 3
B) x square root 2 - x + 3
C x square root 2 + 2 square root x - 3
D) x square root 2 + 2 square root x - 2 square root x - 3
Step-by-step explanation:
divide them by using long polynomial division.
d
what is the answer pleas tell me
Answer:
i believe its B,C, and E
Step-by-step explanation:
Dee Dee bought an apple for $0.85, a sandwich for $4.50. How much did Dee Dee spend?
Answer:
$5.35
Step-by-step explanation:
.85+4.50= 5.35
Answer:
5.35$
Step-by-step explanation:
add 4.50+0.85
5(r + 3) = 3r + 35.
What is the answer and please show how you got it
Answer:
r =10
Step-by-step explanation:
5(r + 3) = 3r + 35.
Distribute
5r+15 = 3r+35
Subtract 3r from each side
5r+15-3r = 3r+35-3r
Combine like terms
2r +15 = 35
Subtract 15 from each side
2r+15-15 =35-15
2r = 20
Divide by 2
2r/2 =20/2
r =10
Fill in the blanks below.
Find the slope of the line passing through the points (7,-5) and (7, -1).
slope:
Find the slope of the line passing through the points (-7, 6) and (-7,-6).
slope:
Answer:
1. infinity
2. infinity
Need help please thanks
Answer:
the values of angle;
a=61
b=61
c=29
Answer: All of the angles combined are 180 degrees. Since b and its adjacent angle is 90 degrees, you would subtract 90-29, which gives you 61. b=61. You would then use both angle measures to determine the other two. You would need to find two values that add up to 90 degrees for c and a. Angle b+c would be equal to 90 degrees, and angle a and d (I used d to represent the 29 degree angle) would be equal to 90 degrees, equaling a total of 180 degrees. Angle a would be equal to 61, and angle c would be equal to 29. Hope this helps.
describe the normal distribution shape in your own words. feel free to use examples that are normal or irregular.
Answer: see below
Step-by-step explanation:
A normal distribution is shaped like a negative parabola → ∩
The midpoint of the parabola is the median and represents 50% of the data.
Therefore, there is equal distribution to the left and to the right of the 50% mark.
Answer:
Normal distributions are symmetric and the mean, medium, mode. The shape of used is a bell curve. We can also use normal distributions for the height, weight.
(8x +10) = (6x +3) °
Answer:
The answer would be
[tex]x=\frac{-7}{2}[/tex]
Answer:
-3.5
Step-by-step explanation:
Find the next terms in the following sequences.
1.) -4, -3, -2, -1, ___, ___, ____, _____
Answer:
0,1,2,3............
-10×+8y=10 I cant figure it out , can someone help please.
Karen used a birthday check her mother gave her to start a savings account. She plans to save $25 per
month as well. After 8 months, Karen has $250. Write and solve a linear equation to find the original check
amount from Karen's mother.
Answer:
Explanation:
Lets just say the amount her mom gave her is c
and the months is a
the equation would be
c + 25a = 250
we can plug in 8 for a, cause we know its been 8 months,
c + 25(8)= 250
then do the parentheses
c + 200 = 250
subtract the 200 to isolate the variable c
c = 50
then you get c = 50,
Karen's mom gave her a check for $50.
(why karen btw. i would never give $50 to a karen)
The linear equation to calculate the amount from Karen's mother is
A + 25x = 250
where A is the amount and x is the number of months
The amount from Karen's mother is $ 50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount given to Karen by her mother be = A
Let the total number of months be = x
The value of x is = 8 months
The total amount Karen has after 8 months = $ 250
The amount Karen saves per month = $ 25
Now , the equation will be
Total amount Karen has after 8 months = amount given to Karen by her mother + ( amount Karen saves per month x total number of months )
Substituting the values in the equation , we get
250 = A + 25x
On simplifying the equation , we get
A + 25x = 250
when x = 8
A + 25 ( 8 ) = 250
A + 200 = 250
Subtracting 200 on both sides of the equation , we get
A = $ 50
Therefore , the value of A is $ 50
Hence , The linear equation to calculate the amount from Karen's mother is A + 25x = 250
where A is the amount and x is the number of months
The amount from Karen's mother is $ 50
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What real number is 7/8
Answer:2 is the answer.
Step-by-step explanation:
The integers are the whole numbers, their opposites, and 0 . From the given numbers, −7 and 8 are integers.
Fred’s art project involves a series of parallel stripes of uneven widths. If he starts by drawing the line 8x + 2y = 7, select all the equations that represent lines that could also be drawn.
Group of answer choices
y = −4x
16x + 4y = 9
4x + 2y = 3
y = −4x + 15
y − 1 = 4(x + 8)
Please I need help!! I will give Brainerly to whoever gets it right!
Answer:
Options 1 and 4 are the only other parallel lines
Step-by-step explanation:
Plug the equation into a graphing calculator and observe your results.
Answer:
The answers are y = −4x, 16x + 4y = 9, and y = −4x + 15
Step-by-step explanation:
y=-4x has the -4 as slope so it parallel
y = −4x + 15 also has the -4 as a slope so it parallel
16x + 4y = 9 u have to solve.
4y=-16x+9 First step is to subtract -16 both sides (which just tosses -16 to the other side where the 9 is.
y=-4x+2.25 Divide everything by 4
REMEMBER TO MARK ALL THREE TO GET FULL CREDIT
PLEASE HELPP
What does it mean for angles to be supplementary and complementary?
Answer:
A complementary angle is an angle that adds up to 90 degrees. supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line, and a complementary angle is a right angle.
Step-by-step explanation:
hopes this helps
Answer:
Step-by-step explanation:
Supplementary is when all the angles add up to 180. Complementary is when all the angles add up to 90.
How would I solve this question?
Answer:
Step-by-step explanation:
ok you have to find which one by
one i mean ( C or L ) DESCRIBES the best
( C ) that is library and u have to find out wut is ( L )
How would I solve this question?
Answer:
A I think
Step-by-step explanation:
?
Which expression is equivalent to 9x5 +3x(4x4–3x2)
Answer:
[tex]30x^2+45x[/tex]
Step-by-step explanation:
The answer is
[tex]48^{9} - 72x^{7} +36x^{5}[/tex]
if the perimeter of a tennis court is 228 feet and the length is 6 feet longer than twice the width, then what are the length and the width?
Answer:
228-12 = 6w +12 -12
216 = 6w
divide both sides by 6
216/6 =6w/6
36 = w
so width = 36 feet
then the length is ..
l = 2w + 6
= 2*36 +6
= 72 +6=78
so the length = 78 feet
A motorcycle travels 25 miles every 0.5 hour
Step-by-step explanation:
Per means division so this should be 25/0.5
I think you can do the problem by yourself now!
Hope this helps <3
what is y + 1=x in slope intercept form?
Answer:
y = x - 1
Step-by-step explanation:
slope intercept form is y = mx+b. (mx - slope, b - y-intercept)
You just subtract 1 from both sides, giving you y = x - 1
