Answer:
common difference = -6
Step-by-step explanation:
if U= {1,2,3,4,5,6}, A ={1,2,3,}
B={2,3,5},and C ={4,5,6}
find (AUB)'n c
======================================================
Explanation:
A = {1,2,3}
B = {2,3,5}
A u B = {1,2,3,5}
The set A u B consists of anything in either set A or set B. This is a set union.
The complement of this is the complete opposite. So we only consider the items 4 & 6
(A u B)' = {4,6}
Note that sets AuB and (AuB)' can be unioned together to end up with the universal set U. Be sure not to mix up the universal set notation U with the union symbol 'u'
The last step is to see what sets (AuB)' and set C have in common. That would be 4 and 6 since both values are found in both sets
Therefore, (A u B)' n C = {4, 6}
The n refers to the intersection symbol.
I am doing a connexus geometry unit test. please send assistance!
Answer:
x=37
Step-by-step explanation:
50+24=74
74/2=37
find the length of arc AB help plz
a 18 gram sample of a substance that's used to detect explosives has a k-value of 0.1226
Answer:
Given:
Initial mass = 18 g
k-value = 0.1226
The mass at time t (days) is
At half life, m = 18/2 = 9 g.
The time for half life is given by
Therefore
ln(1/2) = -0.1226t
Hence obtain
t = ln(1/2) / -0.1226
= 5.654 days
Answer: 5.7 days (nearest tenth)
or
For this problem, we use the formula for radioactive decay which is expressed as follows:
An = Aoe^-kt
where An is the amount left after time t, Ao is the initial amount and k is a constant.
We calculate as follows:
A0 = 18
An = 18/2 = 9
k = 0.125
9 = 18 e^-0.125t
0.5 = e^-0.125t
t = 5.55 days
A company sold 123 mobile phones for ₹ 8000 each. With the same money, 48 music systems were bought. Find the cost of one music system.
Answer:
Step-by-step explanation:
123 X 8000 = 984000
984000/48 = 20500(PUT EURO SIGN)
The relative frequency table below summarizes a survey about support for candidate X in an upcoming
national election. In this survey, 210 randomly selected Virginians opposed candidate X.
How many people in this survey were Californians who opposed candidate X?
Does the table show evidence of an association between being from Virginia and opposing candidate X?
Choose all answers that apply:
Answer:
D.
Step-by-step explanation:
a) no, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.
b) yes, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.
c) no, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.
d) yes, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.
The answer is D.
Step-by-step explanation:
Answer:
How many people in the survey were Californians?
- 250
Yes, because 50% of Californians support candidate X, but only 40% of all people support him.
Yes, because 62.5% of people who support candidate X and 50% of Californians do not support candidate X.
If you dont know the answer to my question then dont say anything!
True or false: You can rely slowly upon induction to prove that your conclusion is correct.
Answer:
False
Step-by-step explanation:
You can't rely slowly upon induction to prove that your conclusion us correct.
Answer:
False
Explanation:
This is a false statement because it is the deductive reasoning where you can prove a specific conclusion with the help of many generalized principles that are known to be true.
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
Answer:
61,70,79
Step-by-step explanation:
common difference=9
It is an arithmetic progression.
therefore next 3 terms of the sequence is 61,70,79
Answer:
61, 70,79
Step-by-step explanation:
34 - 25 = 9
43 - 34 = 9
52 - 43 = 9
52 + 9 =61
the pattern is plus 9
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
Answer:
a) 1650 m
b) 1677.05 m
Step-by-step explanation:
Hi there!
1) Determine what is required for the answers
For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.
For part B, we're asked to solve for the length of the road, or the length of AB.
2) Prove similarity
In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).
How do we know they're similar?
Angles AYX and ACB are corresponding and they both measure 90 degreesBoth triangles share angle ATherefore, the two triangles are similar because of AA~ (angle-angle similarity).
3) Solve for part A
Recall that we need to find the length of AC.
First, set up a proportion. XY corresponds to BC and AY corresponds to AC:
[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]
Plug in known values
[tex]\frac{2}{300}=\frac{11}{AC}[/tex]
Cross-multiply
[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]
Therefore, the road will rise 300 m over a horizontal distance of 1650 m.
4) Solve for part B
To find the length of AB, we can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides
Plug in 300 and 1650 as the legs (we are solving for the longest side)
[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]
Therefore, the length of the road is approximately 1677.05 m.
I hope this helps!
The chart below represents the number of marbles in a jar. What is the probability of picking blue?
P(blue) =
Answer:
yes
Step-by-step explanation:
what set of numbers are shaded on the hundred chart.
A: only all the factors of 36
B: only the multiples of 36
C: only all the factors of 72
D: only all the multiples of 72
A person rides a bike from home to a restaurant, eats a meal, and then rides home.
Which graph could represent this situation?
A.
Step-by-step explanation:
It is A because the person left, which would cause the distance to become greater, then ate a meal which would cause them to stop. Finally, the person went back home, which would cause the distance to decrease.
Answer:
a
Step-by-step explanation:
What is the value of the dependent variable if the value of the independent variable is -4?
f(x)= -3x^2 + 5x
A. 28
В. -44
C. -68
D. 4
A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees systolic blood pressure levels. Twenty people are selected and have their blood pressure measured. Each person then participates in the stress reduction program. One month after the stress reduction program, the systolic blood pressure levels of the employees were measured again. Did the program reduce the average systolic blood pressure level? Note: Differences were taken by taking "before systolic blood pressure" minus "After blood pressure"
The 95% confidence interval was (5.6, 10.2).
A. On average, the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at the 95% confidence level
B. We are 95% confident that there is no difference in average systolic blood pressure levels before and after the stress reduction program.
C. On average, the systolic blood pressure levels after the stress reduction program were significantly higher than the systolic blood pressure levels before the stress reduction program, at the 95% confidence level.
Answer:
A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level
Step-by-step explanation:
The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees
The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure
The 95% confidence interval obtained = (5.6, 10.2)
Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program
9. Griffin ordered a pair of sneakers online. He had a $16 credit that he applied
toward the purchase, and then he used a credit card to pay for the rest of the
cost. If the shoes cost $80, how much did Griffin charge to his credit card when
he bought the sneakers?
Plz help
Answer: 79 more
Step-by-step explanation:
Today is Leilas birthday. She is 5 years old. How old is leila in months
Answer:
60
Step-by-step explanation:
There are 12 months in a year, so 5 years×12 months=60 months.
**You may wish to revise multiplication or the calendar year. I'm always happy to help
Answer:
60
Step-by-step explanation:
No dia da festança, bianca comprou dos pasteis por $5,20, duas maçãs do amor por $ 3,40 e dois refrigerantes por $7,60. Quanto bianca gastou?
Responder:
$ 16,2
Explicação passo a passo:
No dia da festa, Bianca comprou os pastéis por US $ 5,20, duas maçãs do amor por US $ 3,40 e dois refrigerantes por US $ 7,60. Quanto bianca você gastou?
O valor gasto por Bianca é a soma de todos os itens que ela comprou:
Pastelaria = $ 5,20
Maçãs do amor = $ 3,40
Refrigerantes = $ 7,60
A soma da soma dá o valor gasto de Bianca:
Doces + Maçãs do Amor + Refrigerante
$ (5,20 + 3,40 + 7,60)
= $ 16,2
Trevor had 3/4 pound of peanut she wants to split them evenly among 4 people. How many pounds of peanuts would each person get?
624,612 rounded to the nearest hundred is
Answer:
624,600
Step-by-step explanation:
624,612
612 rounds to 600
624,600
Answer:
624,600
Step by step explanatiom:
cause math
pls help. will mark brainliest.
Answer:
b = -4
Step-by-step explanation:
multiply both sides by 3 to get:
4b-8 = 6b
-8 = 6b-4b
-8 = 2b
-8/2 = b
-4 = b
Combine these radicals.
–66
–54
Answer:
-100
Step-by-step explanation:
120÷[17-{15-3(8-2)}]
Answer:
the ans has to be 6.........
If I have 3 integers that are greater than -5, and less than or equal to 3. The median is -1, no Mode and range is 5, the mean is 0. Give the set of 3 numbers.
Answer:
{-2, -1 , 3}
Step-by-step explanation:
When we have a set like:
{x₁, x₂, x₃}
The mode is the value that appears the most, so if there is no mode, then each value appears just one time.
The median is the middle value, here we know that the median is -1, then we can rewrite the set as:
{x₁, -1 , x₃}
The mean is computed as:
Mean = (x₁ + x₂ + x₃)/3
in this case we know that the mean is 0, then:
0 = (x₁ + x₂ + x₃)/3
then the numerator must be zero, so:
0 = (x₁ + x₂ + x₃)
replacing the value of x₂ = -1 we get:
0 = (x₁ - 1 + x₃)
where:
-5 < x₁ < -1 < x₃ ≤ 3
Now we can select the values of x₁ and x₃ such that the sum is equal to zero, and it meets the wanted restrictions.
here we can choose x₃ to be equal to 3 (the maximum allowed value), I do this because I noticed that the other values that are larger than -1 will not work (just with quick math).
then:
0 = x₁ - 1 + 3
Now we can solve this for x₁
0 = x₁ + 2
-2 = x₁
Then the set is:
{-2, -1 , 3}
-2 1/3 - (-5) = []
A. 2 2/3
B. 3 1/3
C. 3 2/3
D. -7 1/3
Answer:
[tex]2 \ \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]−2 \frac{1}{3} −(−5) \\ =− \frac{7}{3} −(−5) \\ = \frac{ - 7}{3} −(−5)
\\ = \frac{8}{3} \\ =2 \ \frac{2}{3} [/tex]
5 exponent 3 · 5 exponent 8
needs to be in exponent form
WILL GIVE BRAINIEST
Answer:
[tex]5^{3}[/tex] · [tex]5^{8}[/tex] = [tex]5^{11}[/tex]
Step-by-step explanation:
when the bases are the same, add exponents
Mrs. Jones is planning a field trip to the state capitol building for all of the sixth graders at her school. She needs $3.75 to cover the cost of each student's lunch. There are 327 students attending the field trip. How much money does Mrs. Jones need to cover the cost of all of the students' lunches?
Answer:
= $1226.25
Step-by-step explanation:
There are 327 students
Each student lunch is $3.75
She needs 327 of these $3.75 lunches
So 327 times $3.75
= $1226.25
Renee has dimes and quarters in her wallet that total $1.60. She has 2 more dimes than quarters.
How many of each coin does Renee have?
Given:
Renee has dimes and quarters in her wallet that total $1.60.
She has 2 more dimes than quarters.
To find:
The number of each type of coins.
Solution:
Let x be the number of dimes and y be the number of quarters.
She has 2 more dimes than quarters. So,
[tex]x=y+2[/tex] ...(i)
We know that,
1 dime = $0.10
1 quarter = $0.25
Renee has dimes and quarters in her wallet that total $1.60. So,
[tex]0.10x+0.25y=1.60[/tex] ...(ii)
From (i) and (ii), we get
[tex]0.10(y+2)+0.25y=1.60[/tex]
[tex]0.10y+0.20+0.25y=1.60[/tex]
[tex]0.35y=1.60-0.20[/tex]
[tex]0.35y=1.40[/tex]
Divide both sides by 0.35.
[tex]y=\dfrac{1.40}{0.35}[/tex]
[tex]y=4[/tex]
Substituting [tex]y=4[/tex] in (i), we get
[tex]x=4+2[/tex]
[tex]x=6[/tex]
Therefore, the number of dimes is 6 and the number of quarters is 4.
of the 12 people attending seminar, 6 have red hair. what is the probability that a randomly selected person will have red hair? write your answer as a fraction or a whole number.
Answer:
1/2
Step-by-step explanation:
there is a total of 12 people
6/12 people have red hair
if you simplify, it is 1/2
therefore there would be a 1/2 chance that someone with red hair would be chosen.
Given that abc and def are similar find fd
Answer:
FD = 8
Step-by-step explanation:
since they are similar triangle .use these ratios to find FD
AB/DE = AC/FD
now substitute the values
6/x-3 = 12/x+1
do cross multiplication
12(x-3) = 6(x+1)
12x - 36 = 6x + 6
12x - 6x = 6 + 36
6x = 42
x = 42/6
x = 7
now substitute x
FD = x + 1
=7 + 1
=8
During a baseball game, Jeff hit the ball 2 out of 3 times at bat, Brad hit the ball 3 out of 5 times at bat, and Zackary hit the ball 2 out of 4 times at bat. Who had the greatest ratio of hits?
Answer:
Jeff
Step-by-step explanation:
Answer:
Jeff had the greatest ratio
Step-by-step explanation:
First you would find the common denominator, which is 60.
Jeff - 40/60
Brad - 36/60
Zackary - 30/60
Jeff has the highest ratio and Zackary has the lowest.
