Answer:
5 7/24
Step-by-step explanation:
Given the following mathematical expression;
12 5/8 - 7 1/3
First of all, we would subtract the whole numbers;
12 5/8 - 7 1/3 = (12 - 7) 5/8 - 1/3
12 5/8 - 7 1/3 = 5 [5/8 - 1/3]
Next, we subtract the fractions from each other;
5/8 - 1/3
Lowest common multiple (lcm) = 24
5/8 - 1/3 = (15 - 8)/24
5/8 - 1/3 = 7/24
Combining the two parts, we have;
12 5/8 - 7 1/3 = 5 7/24
I need this for extra credit please!!
please answer this for me love
Answer:
Step-by-step explanation:
x-intercept is the 3rd box, and y-intercept is the 6th box
Identifying a binomial experiment In a study conducted by the sponsoring organization of an academic conference, attendees were classified during registration into one of three categories according to their field of interest: General, Applied, or Theoretical. Of the 400 people in attendance, 200 were classified as General, 60 were classified as Applied, and 140 were classified as Theoretical. You randomly select three registration cards (with replacement) of attendees of the conference and record their fields of interest.
This experiment _________ binomial experiment.
When you select a registration card, the probabilities associated with each outcome are:
Outcome Probability
General 0.35
Applied 0.45
Theoretical 0.20
binomial random variable with mean E(X) = and Let X be the number of card selections with outcome "General." Then X is a standard deviation o =________
Answer:
1, this is a binomial experiment.
Step-by-step explanation:
this is a binomial experiment. Since it is general outcome, the probability of success is 0.50, that is 50 percent.
we have that X follows the binomial distribution
X ~ Binomial(n = 3, p = 0.50)
we have 3 outcomes( general, applied, theoretical).
mean = E(X)
= np
= 3(0.5)
= 1.5
standard deviation = σ = √np(1-p)
= √3(0.5)(1-0.5)
= √1.5(0.50)
= √0.75
= 0.8660
the mean = 1.5
the standard deviation = 0.8660
Which inequality is true if p=3?
A. 3p <9
B. 13 < 4p
C. 5p > 15
D.8 > 2p
Answer:
D
Step-by-step explanation:
2×3 = 6 which is less than 8
plzz help me with this question
Answer:
x = 5
Step-by-step explanation:
We need to find the value of x in this case.
For this, we need to consider that the triangles are similar. Now, we can find it as follows :
[tex]\dfrac{12}{3}=\dfrac{20}{x}\\\\x=\dfrac{20\times 3}{12}\\\\x=5[/tex]
So, the value of x is equal to 5.
Can someone help? :D
Answer:
I believe the answer is A
Step-by-step explanation:
Which pair shows equivalent expressions?
A. 2x+10=-2(x-5)
B. -2(x-5)=2x-10
C. -2x-10=-2(x+5)
D. -2(x-5)=-2x-10
Answer:
its answer is A...as u see inA 10 can be divided by 2 and the answer comes 5 it is equivalent.
Evaluate the following integral using trigonometric substitution
Integral underroot dx/ 9-x^2
Answer:
The result of the integral is:
[tex]\arcsin{(\frac{x}{3})} + C[/tex]
Step-by-step explanation:
We are given the following integral:
[tex]\int \frac{dx}{\sqrt{9-x^2}}[/tex]
Trigonometric substitution:
We have the term in the following format: [tex]a^2 - x^2[/tex], in which a = 3.
In this case, the substitution is given by:
[tex]x = a\sin{\theta}[/tex]
So
[tex]dx = a\cos{\theta}d\theta[/tex]
In this question:
[tex]a = 3[/tex]
[tex]x = 3\sin{\theta}[/tex]
[tex]dx = 3\cos{\theta}d\theta[/tex]
So
[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}[/tex]
We have the following trigonometric identity:
[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]
So
[tex]1 - \sin^{2}{\theta} = \cos^{2}{\theta}[/tex]
Replacing into the integral:
[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C[/tex]
Coming back to x:
We have that:
[tex]x = 3\sin{\theta}[/tex]
So
[tex]\sin{\theta} = \frac{x}{3}[/tex]
Applying the arcsine(inverse sine) function to both sides, we get that:
[tex]\theta = \arcsin{(\frac{x}{3})}[/tex]
The result of the integral is:
[tex]\arcsin{(\frac{x}{3})} + C[/tex]
FIND THE VALUE OF X PLEASE HELP ME
Answer:
x = 18
Step-by-step explanation:
4(18) = 72
2(18) - 10 = 26
4(18) + 10 = 82
72 + 26 + 82 = 180
10) Julio rented a bike from Bill's Bikes. It
cost $20 plus $6 per hour. If Julio paid
$50, then he rented the bike for how many
hours?
Represent the following Percent as a decimal, 87.5%
Find three rational number between 2/3 and 3/4.
First pls
Answer:
21/30, 22/30, 23/30
Step-by-step explanation:
Which inequality is represented by the number line graph?
Answer:
We can also graph inequalities on the number line. The following graph represents the inequality x≤2 . The dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true.
Step-by-step explanation:
your welcome
What is the value of the t in the following equation? t + 1/4 = 2 7/12 A. t = 3/7 B. t = 1 2/3 C. t = 2 1/3
D. t = 3 2/3
Answer: it’s C
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
Which equation represent the following situation : Andre withdrew
spending money from his checking account that initially had $982. What
was the amount of his withdrawal, w, if his ending balance was $922.
O 982 - w = 922
O W - 982 = 922
O 922 - W = 982
Answer:
Try 60
Step-by-step explanation:
982-922=60
5/8÷1/3 do you now the answer
Answer:
15/8
Step-by-step explanation:
This is a fraction so when dividing fractions you can multiply by the reciprocal.
5/8*3/1= 5*3/8*1 = 15/8
If $5,000 is invested at 4% simple intrest for 30 years. what will be the total intrest earned in the 30 years?
Answer:$1.20
Step-by-step explanation: Find 4% of 30
I am using a calculator, but you can get the same result if you multiply .04 and 30
You should get 1.2 or $1.20
What is the second step in solving the following equation?
-3x + 5 = 20
Subtract 5 from both sides
O Divide both sides by-3
o add 3x to both sides
O Divide both sides by 3
Answer please .Give an explanation so I know ur not just getting points so I dont report. Thank you!
9514 1404 393
Answer:
B. 1.5 = 2p
Step-by-step explanation:
If p is the fraction of the price of a pizza, then 2p is the actual value of that fraction. We're told that is equal to the price of a hotdog, so ...
2p = 1.5
or
1.5 = 2p . . . . . . matches choice B
_____
Additional comment
Some of us would "cut to the chase" and compute the fraction directly:
p = (price of hotdog)/(price of pizza) = 1.5/2
No such choice is offered, so the next best is the equation you get when you multiply this by 2:
2p = 1.5
5. Is the number 0.6 with the line on top rational or irrational?
Answer:
It's a rational number/decimal
Step-by-step explanation:
A large cable company reports the following:
80% of its customers subscribe to its cable TV service.
44% of its customers subscribe to its Internet service.
29% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
23% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.
Consider the chance experiment that consists of selecting one of the cable company customers at random. Calculate the following probabilities.
A) P(cable TV only).
B) P(Internet | cable TV).
C) P(exactly services).
D) P(Internet and cable TV only).
Answer:
[tex]P(Cable\ TV\ only) = 50\%[/tex]
[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]
[tex]P(exactly\ 2\ services) = 23\%[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]
Step-by-step explanation:
Given
[tex]Cable\ TV = 80\%[/tex]
[tex]Internet = 44\%[/tex]
[tex]Telephone = 29\%[/tex]
[tex]Cable\ TV\ and\ Internet = 25\%[/tex]
[tex]Cable\ TV\ and\ Telephone = 20\%[/tex]
[tex]Internet\ and\ Telephone = 23\%[/tex]
[tex]All\ Services = 15\%[/tex]
Solving (a): A) P(cable TV only).
First, we calculate n(cable TV only)
This is calculated as:
[tex]n(cable\ TV\ only) = (Cable\ TV) - (Cable\ TV\ and\ Internet) - (Cable\ TV\ and\ Telephone) + (All\ Services)[/tex]
[tex]n(cable\ TV\ only) = 80\% - 25\% - 20\% + 15\%[/tex]
[tex]n(cable\ TV\ only) = 50\%[/tex]
The probability is:
[tex]P(Cable\ TV\ only) = \frac{n(Cable\ TV\ only)}{100\%}[/tex]
[tex]P(Cable\ TV\ only) = \frac{50\%}{100\%}[/tex]
[tex]P(Cable\ TV\ only) = 50\%[/tex]
Solving (b): P(Internet | cable TV).
This is calculated as:
[tex]P(Internet\ |\ cable\ TV) = \frac{Cable\ TV\ and\ Internet}{Cable\ TV}[/tex]
[tex]P(Internet\ |\ cable\ TV) = \frac{25\%}{80\%}[/tex]
[tex]P(Internet\ |\ cable\ TV) = \frac{25}{80}[/tex]
[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]
Solving (c): P(exactly 2 services).
This is calculated as:
[tex]P(exactly\ 2\ services) = (Cable\ TV\ and\ Internet - All) + (Cable\ TV\ and\ Telephone - All) + (Internet\ and\ Telephone - All)[/tex]
[tex]P(exactly\ 2\ services) = (25\% - 15\%) + (20\% - 15\%) + (23\%-15\%)[/tex]
[tex]P(exactly\ 2\ services) = (10\%) + (5\%) + (8\%)[/tex]
[tex]P(exactly\ 2\ services) = 23\%[/tex]
Solving (d): P(Internet and cable TV only).
This is calculated as:
[tex]P(Internet\ and\ cable\ TV \only) = \frac{(Internet\ and\ cable\ TV \only)}{100\%}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{100\%}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{1}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]
Someone pls help me
The distance between city a and city b is 200 miles. A length of 1.7 feet represents this distance on a certain wall map. City c and city d are 2.55 feet apart on this map. What is the actual distance between city c and city d
Answer:
510
Step-by-step explanation:
200×2.55=510 this is the answer
15 points!!!
Write an
equation of the parabola shown.
Answer:
y=1/2x-4
Step-by-step explanation:
find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,
Help pls I don’t understand this my teacher didn’t teach this
Answer:
x = 60
Step-by-step explanation:
The tip of the triangle's angle is 100 (b/c 180-80)
x + 100 + 20 = 180
x + 120 = 180
x = 60
Answer:
Step-by-step explanation:
X=60
PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left $1.10 as a tip. The tax was 4% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
all info is needed answer of the total bill is:275 us
Step-by-step explanation:
10x1.10=11= tax
100/z=4/11
275
Which equation is true for the value b= 10? OA 2(b + 4) = 16 B. 2(b + 2) = 40 3(b - 2) = 24 OD 2(8 + b) = 42 o E. 31b-4) = 20
Answer:
OC
Step-by-step explanation:
3(b-2)
3(10-2)
3(8)
24
*!!!* please help me!! i’ll mark brainliest if the answer is right!
Answer
Roundworm is 9ft long and the tapeworm is 60 feet long
Step-by-step explanation:
If we turn this into an algebraic equation we get 8x-3=69 with 8x being x + 7x because we know that the tape worm is about 7 times longer than the round worm and the roundworms length would be x here. We have the -3 because it is 3 minus 7 times the total length. We do this and eventually end up with x = 9 which is the length of the roundworm. We multiply that by 7 to get 63 and subtract 3 to get 60. If you want to check if this is right do 60+9 and you'll get 69 which is the total of them end to end. (also 69 funny haha)
The sum of 3 times the value of x and 2 is equal to less than 5 times the value of x. Which equation can be used to find the value of x?
A. 3x+2=4-5
B. 2x+3=4-5x
C. 3x+2=5x-4
D. None of these
sum is the answer to addition problem.
less than is subtraction and "times" is multiplication.
So we have
3x+2=5x-4
So the answer is C.
Also, i'm bored so imma solve it.
3x+2=5x-4
-2 -2
3x=5x-6
-5x -5x
-2x=-6
/-2 /-2
x=3
---
hope it helps
Can you help me on question 12?!
Answer:
A) 8/27
Step-by-step explanation:
(2/3)³ = 8/27