Answer:
45/28
Step-by-step explanation:
Answer: 45/28 or 1 17/28
Step-by-step explanation: First find a common denominator for your fractions so you can express them in a similar way so;
1/4= 7/28
9/14= 18/28
5/7=20/28
(7+18+20)/28= 45/28
Simplify 2/5 + 1/3
I NEED THIS ASAP
Answer:
(11/15)'s
Step-by-step explanation:
(2/5) is equal to (6/15)
(1/3) is equal to (5/15)
(5/15)+(6/15)=(11/15)
Find the measurement of side QR.
Answer:
Step-by-step explanation:
Another similar triangle. then the sides that are the same are:
r /d = p / b
r =30
d = 72
b = 60
p = QR
30 / 72 = QR / 60
( 30 / 72 ) 60 = QR
1800 / 72 = QR
25 = QR
:) glad they makes these work out to easy numbers.. I mean not some long decimal
You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling anodd number is23and the probability of rolling an even number is13, though the probabilityrolling of each odd number is the same, and the probability of rolling each even number isthe same. What is the probability of:a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.b) the sum of both dice adding up to 4.
Answer:
a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]
b) P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]
Step-by-step explanation:
Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is and the probability of rolling an even number is , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.
To find - What is the probability of:
a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.
b) the sum of both dice adding up to 4.
Proof -
The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }
Now,
Given that , Dice 1 is fair
⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = [tex]\frac{1}{6}[/tex]
Also,
Given Dice 2 is unfair
⇒P₂(1) = P₂(3) = P₂(5) = [tex]\frac{2}{3}.\frac{1}{3} = \frac{2}{9}[/tex]
P₂(2) = P₂(4) = P₂(6) = [tex]\frac{1}{3}.\frac{1}{3} = \frac{1}{9}[/tex]
Now,
a)
P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)
= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]
= [tex]\frac{2}{9}[/tex] [ [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] ] = [tex]\frac{2}{9}[/tex][tex][\frac{3}{6} ][/tex] = [tex]\frac{1}{9}[/tex]
⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]
b)
P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)
= [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{54}[/tex]
⇒P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]
the sum of three times the square of a number and -7
Answer:
3x² - 7
Step-by-step explanation:
3 times (number squared) and sum with (-7)
3 times x² and add (-7)
3x² + (-7)
3x² - 7
WILL GIVE BRAINLIEST PLEASE HELP: In rectangle ABCD the diagonals intersect each other at point O and m ABD = 30 degrees. Find BC if AC = 16 in.
Answer:
8
Step-by-step explanation:
We know that ABD is 30 degrees. To find BC, we need to use sin.
Equation:
BC = 16*sin(30 degrees) I recommend using a calculator to find the sine if you don't know what it means and how to use it. Sine is basically the side length opposite of the angle over the hypotenuse of the right triangle.
BC = 16*0.5
BC = 8
Sorry, I couldn't find an image.
Hope this helps!
Visa charges 24.5% on the balance each month. Find the new balance for $2000 after I month
Answer:
I think $490
Step-by-step explanation:
Don't quote me on that
please help me this is so confusing
Answer:
13.5 ft
Step-by-step explanation:
base = 18ft
To find the height, take 75% of 18
To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:
0.75 x 18 = 13.5
13.5 would be the height
Answer:
13.5?
Step-by-step explanation:
Leslie placed this ad in Collector Car Monthly. 1957 Chevrolet Nomad station wagon. Tropical Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted, rebuilt transmission, restored two-tone interior. Mint! Moving, sacrifice, $52,900. 555-4231
Complete Question:
Leslie placed this ad in Collector Car Monthly.
1957 Chevrolet Nomad station wagon. Tropical
Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted,
rebuilt transmission, restored two-tone interior.
Mint! Moving, sacrifice, $52,900. 555-4231
(a) If the publication charges $48 for the first three lines and $5 for each extra line, how much will this ad cost Leslie?
(b) b. Ruth buys the car for 8% less than the advertised price. How much does she pay?
(c) Ruth must pay her state 6% sales tax on the sale. How much must she pay in sales tax?
Answer:
[tex]Total = \$53[/tex]
[tex]Ruth = \$48668[/tex]
[tex]Sales\ Tax = \$2920.08[/tex]
Step-by-step explanation:
Given
[tex]Ad = 4\ lines[/tex]
[tex]Charges: \$48[/tex] --- First 3 lines
[tex]Additional: \$5[/tex] -- Extra lines
Solving (a) : Determine the total charge
The ad has 4 lines. This means that 3 of the 4 lines will be charged at $48 (in total) while the extra line will be charged at $5 per line
So, the total charge is calculated as:
[tex]Total = 3\ lines + 1\ line[/tex]
[tex]Total = \$48 + 1 * \$5[/tex]
[tex]Total = \$48 + \$5[/tex]
[tex]Total = \$53[/tex]
Solving (b): How much does Ruth pay?
From the ads, the price of the car is:
[tex]Price = \$52,900[/tex]
And Ruth pays 8% less.
This means that she pays 92% (i.e. 100% - 8% = 92%)
So, the calculation is:
[tex]Ruth = 92\% * Price[/tex]
[tex]Ruth = 92\% * \$52900[/tex]
[tex]Ruth = \$48668[/tex]
Solving (c): The sales tax
[tex]Sales\ Tax = Sales\ Tax\% * Amount\ Paid[/tex]
[tex]Sales\ Tax = 6\% * \$48668[/tex]
[tex]Sales\ Tax = \$2920.08[/tex]
please give the answer and explain
I beg yall i am giving all my points
please help please I will make brainliest please
Answer:
I think u add those numbers up because it's saying figure out the volume below. it must be adding.
Step-by-step explanation:
so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together
A family plans to have 3 children. For each birth assume that the probability of a boy is the same as a girl. What is the probability of having exactly one girl
Answer:
1/3
Step-by-step explanation:
What number is 0.01 less than 31?
30.99
30.9
30.09
30
Answer:
30.99
Step-by-step explanation:
31 - 0.01 = 30.99
Conver 0.5 and 3/4 to a percent
Answer:
0.5 = 50%, 3/4 = 75%
Step-by-step explanation:
Find the domain of the graphed function
how can u find the number of inches in one mile
Answer:
63360
Step-by-step explanation:
==> 5280 ft = x inch. ==> x = 12*5280 = 63360 inch. Then, there are 63,360 inches in one mile.
Answer:
There are 63,360 inches in one mile.
Step-by-step explanation:
We multiply by the conversion factor:
1 mile (5280 feet/1 mile)(12 inches/1 foot)= 63,360 inches per mile.
3. People with type O-negative blood are universal donors (any patient can
receive a transfusion of O-negative blood). Only about 6.6% of the American
population has O-negative blood. If 270 unrelated people give blood in a certain
week, how many of these people do we expect to be universal donors? (Hint:
Remember to convert percent numbers to decimals before multiplying.)
PLEASE HELP
Answer:
We expect 17.82, that is, approximately 18 people to be universal donors.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Only about 6.6% of the American population has O-negative blood.
This means that [tex]p = 0.066[/tex]
If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?
This is E(X) when [tex]n = 270[/tex]. So
[tex]E(X) = np = 270*0.066 = 17.82[/tex]
We expect 17.82, that is, approximately 18 people to be universal donors.
Pls help me i will mark brainliest
The bill cost is directly proportional to the calling time.
Is the cellphone bill model directly proportional?
In this exercise we need to check if the cost of the phone bill (y), in US dollars, is directly proportional to calling time (x), in minutes. Then, the following model has to be fulfilled:
k = y / x
Where k is the constant of proportionality, in US dollars per minute.
The bill model is directly proportional if and only if the constant of proportionality is the same for every pair of values:
k₁ = 12 / 80
k₁ = 3 / 20
k₂ = 9 / 60
k₂ = 3 / 20
There, the bill cost is directly proportional to the calling time.
To learn more on direct proportion models: https://brainly.com/question/20400984
#SPJ1
Please help i have been trying to figure this out for like an hour
Answer:
B
Step-by-step explanation:
Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have
[tex]\dfrac {7 \frac12} {10} = \dfrac a4[/tex]
We can cross multiply to get that
[tex]10a = 30, \text{so } \boxed{a=3}[/tex]
−3x+6=39
What is the value of x?
Answer:
x = -11
Step-by-step explanation:
−3x + 6 = 39
-3x = 33
x = -11
Step-by-step explanation:
-3x+6=39
-3x=39-6
-3x=33
x=33/-3
x=11
A seventh-grade student forgets to bring his lunch money on several occasions. Each time he forgets his lunch money, he has to charge his cafeteria account by .15.
Solve the following equation.
4(−3.15)=
Explain what this product means in terms of the cafeteria account.
Answer:
-12.6
Step-by-step explanation:
PLS HELP WILL GIVE BRAINIEST Which triangle makes this statement true?
Jamie recorded the number of points she scored during her last 5 basketball games. She scored, 15, 25, 10, 2, and 8 points. What is the mean absolute deviation of the points she scored during the last five games?
Answer:
6.4Step-by-step explanation:
Given scores:
15, 25, 10, 2, and 8Mean of the scores:
(15 + 25 + 10 + 2 + 8)/5 = 12Absolute deviations:
|15 - 12|= 3|25 - 12|= 13|10 - 12| = 2 |2 - 12| = 10|8 - 12| = 4Sum of absolute deviations:
3 + 13 + 2 + 10 + 4 = 32Mean absolute deviation:
32/5 = 6.4total no of game (n)=5
score =15, 25, 10, 2, and 8 points
mean= sum of score/no.of game
=(15+25+10+2+8)/5=60/5=12
absolute deviation of
15=\15-12\=3
25=\25-12\=13
10=\10-12\=2
2=\2-12\=10
8=\8-12\=4
mean absolute deviation=
(3+13+2+10+4)/5=3.6
is the mean absolute deviation of the points she scored during the last five games.
Please help me I’m struggling
Answer:
Step-by-step explanation:
Remark
This is a cosine law problem.
a = 12
b = 15
C = 83
Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.
Formula
c^2 = a^2 + b^2 - 2ab*cos(C)
Solution
c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)
c^2 = 144 + 225 - 360 * cos(83)
cos(83) = 0.1219
c^2 = 144 + 225 - 360 * 0.1219
c^2 = 369 - 43.884
c^2 = 325.116
sqrt(c^2) = sqrt(325.116)
c = 18.031
To the nearest tenth, the answer is 18.0 and you must include the 0.
Blake is cutting a piece of rope into fourths. if each piece is 16 inches long, what is the length of the entire rope?
Answer:
64inches.
Step-by-step explanation:
Let x represent the length of entire rope.
Division Equation:
\frac{x}{4} = 16
\frac{x}{4} X 4 =16x4 (Multiply each side by 4)
x=64
Therefore, length of entire rope is 64 inch.Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table below and used the shaded columns to calculate three sample means. What is the range of the values for the sample means?
Hours of Swim Practice
4
5
3
6
3
8
3
5
4
7
6
2
4
5
3
5
2
3
4
6
1
2
3.75
4.75
Answer: B
Step-by-step explanation:
took test :)
Answer:
The answer is B
Step-by-step explanation:
2
what is 33x2+3 who wants to zo om
Answer:
33x2=66
66+3=69
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
PEMDAS their are no parenthesis no exponents but their is multiplication 33 times 2 is 66 their is addition 66 plus 3 is 69
Which of the following is an equation of the line with slope 5 that passes through the
point (1, - 4)
Answer:
y=5x-9
Step-by-step explanation:
You want to find the equation for a line that passes through the point (1,-4) and has a slope of 5.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 5. So you can right away fill in the equation for a line somewhat to read:
y=5x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(1,-4). When x of the line is 1, y of the line must be -4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,-4).
So, why not plug in for x the number 1 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(1,-4). y=mx+b or -4=5 × 1+b, or solving for b: b=-4-(5)(1). b=-9.
The equation of the line that passes through the point (1,-4) with a slope of 5
is
y=5x-9
Add, simplify the answer and write it as a mixed number
Mary sells fruit with four of her friends. If the earnings are divided evenly
much must the business make in order for each person to earn $30?
In the problem above, how many partners are included in this business?
A quarter is worth 1/4
of a dollar. Hayley needs to exchange dollar bills to get
quarters to do her laundry. How many quarters will she
get for $13?
Answer:
52
Step-by-step explanation:
52x0.25=13
Answer:
52 quarters
Step-by-step explanation:
13 dollars x 100 cents
= 1,300 cents
1,300 cents / 25 cents
= 52 quarters
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500. How much would David make as a salary after 4 years working for the company? What would be his salary after t t years?
Answer:
After 4 years working for the company, he would make $79,000 of salary.
His salary after t years will be:
[te]S(t) = 69000 + 2500t[/tex]
Step-by-step explanation:
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500.
This means that after t years, his salary will be given by:
[te]S(t) = 69000 + 2500t[/tex]
How much would David make as a salary after 4 years working for the company?
[te]S(4) = 69000 + 2500*4 = 69000 + 10000 = 79000[/tex]
After 4 years working for the company, he would make $79,000 of salary.