Answer:
-2a + 20b - 2c
Step-by-step explanation:
(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a
= 6a - 8a + 5b + 15b + 4c - 6c
= -2a + 20b - 2c
Find the exact length of the 3rd side 2 7
For each statement, write what would be assumed and what would be proven in a proof by contrapositive of the statement. Then write what would be assumed and what would be proven in a proof by contradiction of the statement.
a. If x and y are a pair of consecutive integers, then x and y have opposite parity.
b. For all integers n, if n² is odd, then n is also odd.
Answer:
a.)
Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.
Contra-positive statement - If x and y have same parity, then x and y can not be a pair of consecutive integers.
Assumed - x and y have same parity
To prove - x and y can not be a pair of consecutive integers.
Contradiction statement - If x and y are a pair of consecutive integers and they have same parity then then it is not possible.
Assumed - x and y are a pair of consecutive integers and they have same parity
To prove - It is not possible
Proof - Let x and y are even numbers
⇒x = 2a , y = 2b
then , y - x = 2b - 2a = 2(b - a) is alteast 0 if x ≠y
Contradiction.
b.)
Statement - For all integers n, if n² is odd, then n is also odd.
Contrapositive statement - If n is even , then n² is even
assumed - n is even
To prove - n² is even
Contradiction - If n² is odd and n is even then it is not possible
Assumed - n² is odd and n is even
To prove - Our assumption is not true
Proof - As n is even
⇒n = 2a
⇒n² = (2a)² = 4a²
⇒n² is even
Contradiction.
In the figure, O is the centre of a circle passing through points
A, B, C and D and ADC = 120
Find the value of x.
Answer:
30 degrees
Step-by-step explanation:
The computation of the value of x is given below:
Given that
ADC = 120 degrees
So ABC = 60 degrees
As the sum of the opposite angles are 180 degrees
And ACB = 90 degrees
Now in Triangle ADC
Angle ACB + Angle ABC + x = 180 degrees
90 + 60 + x = 180
x = 30 degrees
help :( submit in simplest radical form :(
Answer:
y and x equal
[tex] \sqrt{5 } [/tex]
For the system of inequalities, choose all the ordered pairs that are solutions.
7x + 3y < -24
2 + 3y <-6
(-3,-1)
(-4,-2)
(-1,-2)
(-6, -3)
(-9,-9)
Yasmin went to the store and bought 3 1/2 pounds of ground beef for $11.20. How much did the ground beef cost per pound?
Answer:
Step-by-step explanation:
m,m
What is the slope-intercept form of the equation?
Answer:
y = 1/3x + 4/3
OR
y = 1/3x + 1 1/3
Hope this helps!! (Please give Brainliest if possible!!)
If 18 is subtracted from twice the square of an integer, the
result is equal to nine times the integer. Find the integer.
[Only an algebraic solution will be accepted.]
Answer:
-3/2
Step-by-step explanation:
Let x = the integer:
2x^2 - 18 = 9x
2x^2 - 9x - 18 = 0
Now either factor that or use the quadratic formula if you're lazy like me.
x = -3/2 and 6, so x must be 6 because it has to be an integer.
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: N and M
Supplementary angles: A pair of angles that when combined are equal to 180°.
Vertical: M and I
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary: None
Complimentary angles: A pair of angles that when combined are equal to 90°.
Hope this helps! Good luck! :D
if a spider is 35 mm long. how many centimeters long is the spider?
Answer:
It is 3.5 cm long
Step-by-step explanation:
1 cm = 10mm
So divide 35 by 10
The area of a rectangular front yard is, 180 square feet find the length of the front yard if the width is 15 feet
Complete the last row for a different batch size that hasn’t been used so far in the table. Explain or show your reasoning.
Find k if the line y = kx-5 passes through the point (-6,14).
Answer:
19/-6
Step-by-step explanation:
y=kx-5 (-6, 14)
14=k(-6)-5
14=-6k-5
-6k=14+5
-6k=19
k=19/-6
Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.
Solution :
1. [tex]$P(\text{ good sales in Asia }) = 0.55+0.15$[/tex]
= 0.7
2. [tex]$P(\text{ good sales in Europe }) = 0.55+0.20$[/tex]
= 0.75
3. [tex]$\text{P(good sales in Asia }| \text{ good sales in Europe}) $[/tex][tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$[/tex]
[tex]$=\frac{0.55}{0.75}$[/tex]
[tex]$=\frac{11}{15}$[/tex]
4. [tex]$\text{P(good sales in Asia }| \text{ bad sales in Europe}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$[/tex]
[tex]$=\frac{0.15}{0.25}$[/tex]
[tex]$=0.6$[/tex]
5. [tex]$\text{P(good sales in Europe }| \text{ good sales in Asia}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$[/tex]
[tex]$=\frac{0.55}{0.7}$[/tex]
[tex]$=\frac{11}{14}$[/tex]
6. [tex]$\text{P(good sales in Europe }| \text{ bad sales in Asia}) $[/tex]
[tex]$=\frac{0.2}{0.3}$[/tex]
[tex]$=\frac{2}{3}$[/tex]
Market researchers wanted to know whether the placement of a new product on a supermarket shelf significantly increases the percent of shoppers who will buy the product. At Supermarket X, a new product was placed on the top shelf, and at Supermarket Y, the product was placed one shelf below the top shelf. To observe buying habits, the researchers selected a random sample of 364 shoppers at X and another random sample of 327 shoppers at Y. Of the selected shoppers at X, 15 bought the product, and of the selected shoppers at Y, 19 bought the product. Which of the following is the most appropriate method for analyzing the results?
a. A two-sample z-test for a difference in sample proportions.
b. A two-sample z-test for a difference in population proportions
c. A one-sample z-test for a sample proportion
d. A one-sample z-test for a population proportion
e. A one-sample z-test for a difference in sample proportions
Answer:
a. A two-sample z-test for a difference in sample proportions
Step-by-step explanation:
We are told that there are two supermarkets in the research named X and Y.
That a random number of shoppers were selected in each supermarket.
Thus means we have two different sample proportion.. Since a different number of people were randomly selected from each supermarket and a different number of people purchased the product.
Thus, we will have 2 sample proportions one for supermarket X and the other for supermarket Y.
In addition, the position of the product was different in both supermarkets.
Thus, we can say that this is a 2 sample Z-test for difference in their sample proportion.
The option that is most appropriate method for analyzing the results is that a two sample z test for a difference in population proportions.
What is a two sample z-test?A Two-Sample Z-test is known to be a kind of test that is often employed so as to make a comparison of the means of two samples to know and show if it is feasible that they are a product of the same population.
Conclusively, When a two sample z test is employed in the data given above, one can know and show the various difference that can be seen in population proportions.
Learn more about two sample z test from
https://brainly.com/question/7191266
PLZZ HURRY I am being timed
Henry divided his socks into five equal groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if s = 20?
A) StartFraction s Over 5 EndFraction; when s = 20, the number of socks in each group is 4.
B) StartFraction s Over 5 EndFraction; when s = 20, the number of socks in each group is 15.
C) s minus 5; when s = 20, the number of socks in each group is 4.
D) s minus 5; when s = 20, the number of socks in each group is 15.
Answer:
so for each group just multiply the number of socks in each group to 5 and = s
so
1. s = 4x5
s = 20
Step-by-step explanation:
A. S/5; when S=20, the number of socks in each group is 4.
Answer:
It's A
Step-by-step explanation:
Last year, Gareth paid £e each month for electricity. This year his monthly payment went down. His total bill for the first 5 months is given by the expression £5e – 35. Factorize 5e – 35.
Answer:
5(e-7)
have a nice day mate
Are 2.r = 4 and 4x + 5 = 13 equivalent?
Answer:
Yes, they are equivalent.
Step-by-step explanation:
2r = 4, r = 2. We get this because 4/2 = 2.
4x+5 = 13. Subtract 5 from both sides and we'll get 4x=8. Now divide 8/4 = 2.
So we get 2 = 2, which means that the expressions are equivalent.
We want to cover the poster with small stamps. We don't have any to begin with and we can't buy partial bags of stamps. Each bag of stamps 110.5 in covers . How many whole bags of stamps will we need to buy in order to completely cover the poster?
Answer:
2243.7?
Step-by-step explanation:
Answer:
not right i think
Step-by-step explanation:
what is the approximate area of the shaded sector in the circle shown below?
Answer:
4,71cm3
Step-by-step explanation:
calculas el area del circulo. luego lo divides entre 360 que son los grados que tiene el circulo y luego lo multiplicas entre 60 k son los grados de la superficie que te pide
Answer:
B) 4.71 cm², the approximate area of the shaded sector in the circle shown below is 4.71 cm²
Penny reads 13 pages per 1/4 hour, how many hours does it take penny to read a page
Answer:
1/52 of a hour lol
Step-by-step explanation:
Answer: 1/52 hour
Step-by-step explanation:
Evaluate the expression for x= -4.
4x2 - 6x + 7
When x= -4,4x2 - 6x +7=
Tell whether the ratios form a proportion.
5
16.
24 15
a. Yes
b. No
c. Impossible to tell
3 12
9 - 2x is less than or equal to -5
Solve for X
Adam's starting salary is $52,750 per year. He is told that his salary will increase to $66,475 at the beginning of 9 years. What is the rate of Adam's salary?
Step-by-step explanation:
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HELP PLEASEEEEEEEEEEEEEE
Answer:
I think it's B 121.5
Step-by-step explanation:
I don't feel like explaining how I got that
graph this inequality x ≤ 4
Answer:
Step-by-step explanation:
Graphing this equality would shade everything including and to the left of the vertical line x=4.
7/6 x 2/5, then put in simplest form
Answer:
The answer would be 7/15 in the simplest form.
Step-by-step explanation:
Answer:
7/15
Step-by-step explanation:
7/6 x 2/5 = 7/15
Seven over fifteen can not be simplified. In decimal form, 7/15 can be written as, 0.66667.
GIVING BRAINLIEST find the slope of the line perpendicular to the line graphed below
Answer:
Step-by-step explanation:
Slope of the line graphed=[tex]\frac{3-0}{0-(-2)}[/tex]
=[tex]\frac{3}{2}[/tex]
The slope of the line perpendicular to the line graphed = -[tex]\frac{2}{3}[/tex]
why is it important to write equivilant fractions before renaming
Answer:
when y rename a fraction, you are finding fraction that have the same value but have different name. these are known as equivalent fraction you can rename fraction million of different ways...As long as you multiply numerator and denominator by same number, you will get and equivalent fraction...
Step-by-step explanation:
for example :5/2
5×2/2×2 , 5×3/2×3 , 5×4/2×4 , 5×5/2×5
ANSWER OF THESE EQUIVALENT NUMBERS ARE :
10/4 , 15/6 , 20/8 , 24/10 ....