Answer:
The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It is the smallest positive integer that is a multiple of each denominator in the set. Fractions write with fraction bar / like 3/4 .
Step-by-step explanation:
Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. Suppose that P(A) = 0.6 and P(B) = 0.4.
a. Could it be the case that P(A ∩ B) = 0.5? Why or why not?
b. From now on, suppose that P(A ∩ B) = 0.3. What is the probability that the selected student has at least one of these two types of cards?
c. What is the probability that the selected student has neither type of card?
d. Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard, and then calculate the probability of this event.
e. Calculate the probability that the selected student has exactly one of these two types of cards
Answer:
A)P(A ∩ B) cannot be equal to 0.5.
B)P(A ⋃ B) = 0.7
C)P[(A ∪ B)'] = 0.3
D)P(A ∩ B') = 0.3
E)probability that the selected student has exactly one of these two types of cards = 0.4
Step-by-step explanation:
A) We want to find out if P(A ∩ B) = 0.5
Now, this value is not possible because the probability of intersection of two events can not be greater than the probability of each individual event.
We are told that P(A) = 0.6 and P(B) = 0.4.
Due to the fact that the probability of B is less than 0.4 which is less than 0.5, It means that the intersection of A and B can't be greater than 0.4.
Thus, P(A ∩ B) cannot be equal to 0.5.
B) Now, P(A ∩ B) = 0.3
The probability that the selected student has at least one of these two types of cards would be P(A ⋃ B)
Now, this is expressed as;
P(A ⋃ B) = P(A) + P(B) − P(A ∩ B)
Thus,
P(A ⋃ B) = 0.6 + 0.4 - 0.3
P(A ⋃ B) = 0.7
C) Probability that the selected student has neither type of card would be expressed as; P[(A ∪ B) ' ]
Thus is further expressed as;
P[(A ∪ B) ' ] = 1 − P(A ∪ B)
P[(A ∪ B)'] = 1 - 0.7
P[(A ∪ B)'] = 0.3
D) We want to describe in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.
This is simply an intersection of event A and compliment of event B. Thus, it implies that we we will remove the events when student has both types of cards from the events of A. This probability is expressed as P(A ∩ B')
Thus gives;
P(A ∩ B') = P(A) - P(A ∩ B)
P(A ∩ B') = 0.6 - 0.3
P(A ∩ B') = 0.3
E) Now, we want to find the probability that the selected student has exactly one of these two types of cards.
This is simply the addition of intersection of event A with compliment of event B and intersection of event B with compliment of event A . The probability is given by:
P(A ∩ B') + P(A' ∩ B)
Expanding this gives;
P(A ∩ B') + P(B) - P(A ∩ B)
Plugging in the relevant values gives;
0.3 + 0.4 - 0.3 = 0.4
WILL MARK BRAINLIEST
List all of the number sets that contain the number 15.
A. rational numbers and integers
B. rational numbers, integers, and natural numbers
C. rational numbers, integers, and whole numbers
D. rational numbers, integers, natural numbers, and whole numbers
Answer: D
Step-by-step explanation:
ionic bonds occur between?
Answer:
Ionic bonds usually occur between metal and nonmetal ions. For example, sodium (Na), a metal, and chloride (Cl), a nonmetal, form an ionic bond to make NaCl. In a covalent bond, the atoms bond by sharing electrons. Covalent bonds usually occur between nonmetals.
An ionic bond is held together by the electrostatic attraction between ions that are near one another. Electrostatic attraction is the attraction between atoms that have opposite charge and holds the atoms together in ionic bonds.
what expression is equivalent
Answer:
-4x^2, -3x, -5
Step-by-step explanation:
-4x^2 + 2x - 5 (1 + x)
-4x^2 + 2x - 5 + 5x
-4x^2 - 3x - 5
1. Round 53.2785 to the nearest tenth
Answer:
53.3
Step-by-step explanation:
One way to do this is to add half a tenth, 0.05, then drop all the digits of the result to the right of the tenths digit.
53.2785 +0.05 = 53.3285
Dropping digits to the right of the tenths place, we have ...
53.3
_____
The effect of this is to increase the tenths digit by 1 if the hundredths digit is 5 or more. That is the usual instruction given for rounding to tenths. (Then drop hundredths and digits to the right.)
Write a cubic binomial with constant -8.
Answer:
27a³ -8
Step-by-step explanation:
A binomial has two terms. If one of the terms is the constant -8, the other must be a cubic term, something with a variable to the third power.
27a³ -8 . . . . . a cubic binomial with a constant of -8
Find the greatest common factor of 30p4q3, 45p6q5, 90p9q4
Answer:
no cule bro
Step-by-step explanation:
Answer:
15p4q3
Step-by-step explanation:
On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
0-7-4=-3
0-7+3=-4
-7 - 3 = -10
-7 +4= -3
Answer:
-7 + 4 = -3
Step-by-step explanation:
So you start at -7 and if you add a positive number to a negative number you basically subtract from the negative number, so you would do -7 + 4 which equals -3
Between which two integers is the positive value of the square root of 75?
Answer:
8 and 7
Step-by-step explanation:
the square root of 75 is approximately 8.66025 or 5√3 in radical form
You intend to estimate a population mean mu with the following sample. 45.3, 42.3, 53, 49, 15.2, 52.3, 45.6, 39.6, 39.4, 16.1, 54.4.You believe the population is normally distributed. Find the 99.9% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places (because the sample data are reported accurate to one decimal place).
Answer:
A 99.9% confidence interval for the population mean is [22.31, 59.91] .
Step-by-step explanation:
We are given the following sample values;
X = 45.3, 42.3, 53, 49, 15.2, 52.3, 45.6, 39.6, 39.4, 16.1, 54.4.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = 41.11
s = sample standard deviation = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }[/tex] = 13.59
n = sample size = 11
Here for constructing a 99.9% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.
So, 99.9% confidence interval for the population mean, [tex]\mu[/tex] is;
P(-4.587 < [tex]t_1_0[/tex] < 4.587) = 0.999 {As the critical value of t at 10 degrees of
freedom are -4.587 & 4.587 with P = 0.05%}
P(-4.587 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 4.587) = 0.999
P( [tex]-4.587 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}{[/tex] < [tex]4.587 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.999
P( [tex]\bar X-4.587 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+4.587 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.999
99.9% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-4.587 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+4.587 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]41.11-4.587 \times {\frac{13.59}{\sqrt{11} } }[/tex] , [tex]41.11+4.587 \times {\frac{13.59}{\sqrt{11} } }[/tex] ]
= [22.31, 59.91]
Therefore, a 99.9% confidence interval for the population mean is [22.31, 59.91] .
Can someone help me with my algebra homework and explain how you got it ?
Answer: D
Step-by-step explanation:
This problem seems to ask for the slope of the line. If not by counting, we can use the slope formula to solve. The formula is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Let's use (1,2) and (2,-1).
[tex]m=\frac{-1-2}{2-1} =\frac{-3}{1}=-3[/tex]
Now, we know that the slope is -3.
We also know that A and C are eliminated because the line is going down, which signifies negative. We would be left with B and D. We know that B is incorrect because the slope would be less steep if B were to be the answer. Therefore, D is the correct answer.
Find the triangle of the following figure: A. 30cm2 B: 36cm2 C. 18cm2 D. 15cm2
Answer:
D. 15cm2
Step-by-step explanation:
To find the area of a triangle, you multiply the base (10cm) and height of the triangle (3cm) and divide that by 2. So 10×3=30. Then, you need to divide this by 2. Since 30 is an even number, you won't get a decimal. So 30/2=15. And dont forget your units!
100(z-0.2)=-10(5z+0.8)
Answer:
Z= 0.08
Or
Z= 2/25
Step-by-step explanation:
100(z-0.2)=-10(5z+0.8)
Opening all the bracket
100z - 20= -50z - 8
Collecting like terms, and at Same time adding up this like terms
100z +50z = -8+20
150z= 12
Dividing bith sides of the equation by 150 to look for the value of z
(150/150)(z)=12/150
Z= 0.08
Or
Z= 2/25
10 oz for $2.68
What is the price for
1 oz? |
A doctor studying nutrition collected data on the weights (in kilograms) of infants in North Africa. The table below shows the mean weights for infants of different ages in the study. Plot the data in a scatter plot.
Answer:
Step-by-step explanation:
Got it correct on Khan Academy
A domain consists of the values 1, 2, 3, and 2. A range consists of the values 5, 10, 15, and 20. The 1 in the domain corresponds to the 5 in the range, the first 2 in the domain corresponds to the 10 in the range, the 3 in the domain corresponds to the 15 in the range, and the second 2 in the domain corresponds to the 20 in the range. Does this relation represent a function? Explain.(1 point)
It does not represent a function. The domain value of 2 corresponds to two values within the range.
It does not represent a function. Each value in the domain corresponds to exactly one value in the range.
It does represent a function. Each value in the domain corresponds to exactly one value in the range.
It does represent a function. The domain value of 2 corresponds to two values within the range.
Answer:
It does not represent a function. The domain value of 2 corresponds to two values within the range.
Step-by-step explanation:
Given the function:
Domain : Range
1 => 5
2 => 10
3 => 15
2 => 20
For a relation to be considered a function, every domain value should have exactly 1 range value assigned to it or mapped to it.
In order words, a domain value should not have different range values.
In the relation given, domain value of 2, has more than 1 range value, 10 and 20, assigned to it. It does not have exactly 1 range value.
Therefore, the relation does not represent a function because the domain value of 2 corresponds to two values (10 and 20), within the range.
Answer:
It does not represent a function. The domain value of 2 corresponds to two values within the range.
Step-by-step explanation:
1.81 repeating as a fraction
Answer: 1 73/90 if the decimal is 1.81 and the one is repeating
If the .81 is repeating then 1 9/11
Step-by-step explanation:
Answer:
20/11
Step-by-step explanation:
let 0.(81) = x
--> 100x = 81.(81)
--> 100x - x = 81.(81) - 0.(81)
--> 99x = 81
--> x = 81/99 = 9/11
1.(81) = 1 + 0.(81) = 1 + x = 1 + 9/11 = 20/11
simplify the following
3³×6-³×2^5
Answer:
4
Step-by-step explanation:
3³=27
6-³=1/216
2^5=32
27X1/216x32
=4
Question 20 of 33
The table below compares the number of lawns Sam mowed with the amount
of money he earned. What is a logical conclusion to make about the amount
Sam would earn for mowing 7 lawns?
Number of lawns mowed
Total money earned
1
$25
3
$75
5
$125
7
?
Kira owes Mark $5, and Mark owes Kira $7. Which statement means the same thing?
Answer:
mark owes Kira $2
I think
Two consecutive numbers have a sum of 27. What is the smaller number?
Answer:
13
Step-by-step explanation:
The value halfway between them is their average: 27/2 = 13.5.
The smaller number is 13.
__
The larger number is 14.
1. Which of the following is a true statement? *
To square a number, multiply the number by 2.
The inverse of squaring a number is to divide the number by 2.
To square a number, multiply the number by itself.
O A perfect square is a number whose square root is an even number.
Answer:
To square a number, multiply the number by itself.
Step-by-step explanation:
negative thirty-one less than s is greater than 93
Answer:
s > 62
Step-by-step explanation:
Write it out: s - (-31) > 93Simplify: s + 31 > 93Subtract 31 from each side, so it now looks like this: s > 62I hope this helps!
The inequality which represents the given statement is given by s > 62.
What are inequalities ?
When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.
The given statement is "negative thirty-one less than s is greater than 93". This statement must be transformed into form of an inequality.
We know that an inequality comes when a number is greater than or less than another number . Here the variable is the unknown number 's'. This meant the expression can be written as :
s - (-31) > 93
Simplifying this inequality we get :
s + 31 > 93
s > 93 - 31
s > 62
Therefore , the inequality which represents the given statement is given by s > 62.
Learn more about inequalities here :
brainly.com/question/25275758
#SPJ2
What is the answer to x - 3 = -10
Answer:
x = -7
Step-by-step explanation:
x - 3 = -10
Add 3 to each side
x - 3+3 = -10+3
x = -7
In March 1999, Bertrand Piccard and Brian Jones attempted to become the first people
to fly around the world in a hot air balloon. Based on the average sped of 97.8
kilometers per hour, the distance that they traveled in kilometers, d, can be modeled by
d(t) = 97.8t, where t is the time in hours. They traveled a total of 478 hours.
What is the domain of this function?
Answer:
Distance traveled= 41968.4 km
The domain of the function is t
t(h)= 478
h = hours
Step-by-step explanation:
the distance that they traveled in kilometers, d, can be modeled by
d(t) = 97.8t
where t is the time in hours
They traveled a total of 478 hours.
Distance traveled d(t)
d(t) = 87.8(478)
d(t) = 41968.4
Distance traveled= 41968.4 km
The domain of the function is t
t(h)= 478
When two times a number is decreased by 3, the result is 11. What is the number?
Answer:
7
Step-by-step explanation:
let the unknown number be x
so x times 2 minus 3=11
it will now be 2x-3=11
the -3will cross the equal sign and change to +3
2x=11+3 which will be 2x=14
divide both sides by 2 and the final answer will be x=7
What if the perimeter of the table?
Step-by-step explanation:
13? i forgot all this math XD
If CE= 7x+4
x+3 + 8x-9 = 7x+4
Write <, >, or = between the pair of numbers to form a true statement.
0.848
0.84800
Even though 0.84800 has two more zeroes at the end, this is still the same number as 0.848.
0.84800 -> 0.848
Therefore, 0.848 = 0.48400
Best of Luck!
Noah is shopping for new socks. He sees many different options. one bag has 12 socks for $9.99, another bag has 20 socks for $14.99, and the third bag with 10 socks for $19.99. which is the best deal for socks?
Answer:
20 socks fit $14.99 is the best deal out of the 3
Step-by-step explanation:
Here, we want to know the bag that contain the best deals for socks .
The best way to go about this is to know the unit prices of socks in each of the bags.
Let’s proceed;
12 socks for $9.99
The unit price here is 9.99/12 = 0.8325 per socks
20 socks for 14.99
Unit price here is 14.99/20 = 0.7495
10 socks for 19.99
The unit price here is 19.99/10 = 1.999
Out of all these options , we can see that the second option is actually the cheapest and offers what we should be pick as we are looking for suppliers since it charges the lowest;
So the best deal for socks is in the bag of 20 socks for $19.99