what is the slope of this line?
Answer:
-5/2
Step-by-step explanation:
One angle of a right triangle measures 21∘. What is the measure of the other angle?
Answer: 24
Step-by-step explanation:
Answer:
The correct angle is 69⁰
9. Suppose the perimeter of a triangle is given by
P = 13x + 5y, and two of its sides have lengths of
2x + y and 8x + 4y. What is the length of the third
side?
Answer:
The length of the third side is 3x
Step-by-step explanation:
Algebraic Expressions
This problem deals with the ability to manage algebraic expressions in two variables.
Recall the perimeter of a triangle is the sum of its three sides. We already know the perimeter of the triangle is:
P=13x+5y
We also know the lengths of two of its sides are 2x+y and 8x+4y. The sum of those sides is:
S2=2x+y+8x+4y
Joining like terms:
S2=10x+5y
The third side must be the difference between the perimeter and the sum above:
S3=13x+5y-(10x+5y)
Operating:
S3=13x+5y-10x-5y
Joining like terms:
S3=3x
The length of the third side is 3x
5.
Evaluate f(x) = -2x2 -4 for x = 3.
O -10
O -18
10
-22
Answer:
-22
Step-by-step explanation:
f(x) = -2x^2 - 4 for x = 3
f(3) = -2(3)^2 - 4
f(3) = -2(9) - 4
f(3) = -18 - 4
f(3) = -22
Answer: -22
Answer:
-22
Step-by-step explanation:
What is the value of x? Round to the nearest tenths place.
Please help me with this ! Find x
According to an airline, flights on a certain route are on time % of the time. Suppose flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly flights are on time. (c) Find and interpret the probability that fewer than flights are on time. (d) Find and interpret the probability that at least flights are on time. (e) Find and interpret the probability that between and flights, inclusive, are on time.
Answer:
(a) Explained below.
(b) 0.0294
(c) 0.0173
(d) 0.09827
(e) 0.0452
Step-by-step explanation:
The complete question is:
According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded.
(a) Explain why this is a binomial experiment.
(b) Find and interpret the probability that exactly 16 flights are on time.
(c) Find and interpret the probability that fewer than 16 flights are on time.
(d) Find and interpret the probability that at least 16 flights are on time.
(e) Find and interpret the probability that between 14 and 16 flights, inclusive, are on time.
Solution:
(a)
Let the random variable X be defined as the number of on-time flights.
A Binomial experiment has the following properties:
There are a fixed number of trials (n). Each trial are independent of the others. Each trial has only two outcomes: Success and Failure Each trial has the same probability of success (p).If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.
All of these properties can be confirmed for the random variable X.
Thus, this is a binomial experiment.
(b)
Compute the probability that exactly 16 flights are on time as follows:
[tex]P(X=16)={25\choose 16}(0.80)^{16}(0.20)^{25-16}[/tex]
[tex]=2042975\times 0.0281475\times 0.000000512\\=0.029442375072\\\approx 0.0294[/tex]
Thus, the probability that exactly 16 flights are on time is 0.0294.
(c)
Compute the probability that fewer than 16 flights are on time as follows:
[tex]P(X<16)=\sum\limits^{15}_{x=0}{{25\choose x}(0.80)^{x}(0.20)^{25-x}}[/tex]
[tex]=0.0000+0.0000+....+0.011777\\=0.0173[/tex]
Thus, the probability that fewer than 16 flights are on time is 0.0173.
(d)
Compute the probability that at least 16 flights are on time as follows:
[tex]P(X\geq 16)=1-P(X<16)[/tex]
[tex]=1-0.0173\\=0.9827[/tex]
(e)
Compute the probability that between 14 and 16 flights, inclusive, are on time as follows:
[tex]P(14\leq X\leq 16)=\sum\limits^{16}_{x=14}{{25\choose x}(0.80)^{x}(0.20)^{25-x}}[/tex]
[tex]=0.004+0.0118+0.0294\\=0.0452[/tex]
Thus, the probability that between 14 and 16 flights, inclusive, are on time is 0.0452.
12. Which of the following sets of ordered
pairs represents a function?
A. {(0,3), (2, 6), (7, 12), (0, -3))
B. {(6, 1), (6,2), (6,3), (6,4)}
C. {-12,0), (-13, -1), (-14, -2), (-14, -3))
D. {(1, 6), (2, 6), (3, 6), (4, 6)
Answer:
D
Step-by-step explanation:
D represents a function because the input (x) is not repeating itself.
Write the number that is 10 times smaller than 600
round 93.0129 to the nearest thousandth
Answer:
93.013
Step-by-step explanation:
the ansewer is 93.013
Multiply $93,436 by .758
Answer:
$70,824.488
Step-by-step explanation:
solve: 5 (x+2) +2x
make sure to show your work
Answer:
5 (x+2) +2x is equal to 7x + 10
Step-by-step explanation:
To find the value of this equation you would have to apply the distributive property by changing 5 (x+2) to 5x +10. (When applying the distributive property you will always multiply the numbers in the parentheses by the number on the left of it). Then you would combine like terms by adding 2x and 5x together. You will then have 7x + 10.
Step-by-step explanation:
1.) Distribute = 5x+10
2.) Collect Like-Terms = 5x & +2x
3.) Add 5x and +2x , which = 7x
Now you have your answer, which is: 7x + 10.
I hope this helped.
Convert 1_1/2 to a percent
Answer:
150%
Step-by-step explanation:
You have 1 hole 100% and half 50%
Answer:the fraction 48 can be converted to decimal by dividing 4 by 8 . It can be converted to percent by multiplying by 100
Step-by-step explanation:
all the manz in my block have a glock ahhhhhh
PLZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
C. (1,760, 3,530, 5,280)
Step-by-step explanation:
In order to answer this question, you simply have to replace the variable 'x' with the 3 numbers Lilah has, which are 5,280, 10,560, and 15,840:
y(x) = 1/3 (5280) = 1760
y(x) = 1/3 (10560) = 3520
y(x) = 1/3 (15840) = 5280
So, the correct answer is C. (1,760, 3,530, 5,280)
Hope this helps :)
According to the distributive property, 6(5 + 3) =
Answer:
48
Step-by-step explanation:
Don’t know the answer :(
Answer: angle x is 52°
Assuming the line JK is parallel to HI. That should be given.
Step-by-step explanation:
Angle JKA is congruent to angle HIA, so both measure 62°
Add measure of AHI to JKA.
66+62= 128.
Angles of a triangle always add up to 180° so you can subtract 128 from 180 to find x.
180-128= 52°
HELP ME SOLVE THE LAST ONE, IF THEYRE ALL WRONG CORRECT THEM, TYYYYYY
Answer:
they are right
Step-by-step explanation:
Answer:
you have the 4 and 7 backwards and the last one they r losing about .75 gallons hope this helps
Can someone help me with this question please?
Answer:
I believe the answer is C
Step-by-step explanation:
66.5 divided by 19 is 3.5 and 7/2 = 3.5
hope this helps
A long year-end status report for work is 162 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.84 each
Answer:
23.04
Step-by-step explanation:
• One class is selling tickets for $3.50 each and has already raised $250.
• The other class is selling tickets for $2.25 each and has already raised $300.
How many tickets does each class have to sell so that the total amount raised is the same for both classes?
Answer:
x=40
Step-by-step explanation:
Olivia chose 10/21 . How did she get that answer?
Solve real-world decimal problems and write about the
solutions.
Assignment
Nutritional Facts
Beans
(1 cup)
Kelley used 5 cups of beans for the bottom layer of her
taco dip
How many grams of sodium were in the beans Kelley
used?
Check your answer by using 0.8 gram as an estimate
for the sodium
Calories
237
Fat
3.2g
Y
What is your estimated answer?
39.1 g
Carbohydrates
Sodium
0.75 g
Done
PLS HELP
Answer:
3.75
4
Step-by-step explanation:
:P
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Find the number such that the sum of that number and 25 is 48
Answer:
x = 23
Step-by-step explanation:
x + 25 = 48
x = 23....
Answer:
23
Step-by-step explanation:
You subtract 25 from 48
48 - 25 = 23
Which pair of angles must be supplementary?
2
1
5
3
4
o 1 and 5
0 5 and 3
04 and 5
O 4 and 1
Solve:
r5 - 6 = -1
A) r = 1
B) r = 5
C) r = 10
D) r = 25
Answer:
1
Step-by-step explanation:
1 ×5-6=-1 Define this stuff is really easy are you going to do is look at all the options that they have there for our and fill in for our or whichever one works will equal to -1 so in this case the one that works is -1 Sol is think about it all you got to do is just fill it in like they give an example ours and they gave us a question or sequel to one just put one size 5 - 6 is equal to -1 -1 is what you trying to get
What is 3/11 * 3 1/4?
Which number is the greatest? Which is the least
NEVER MIND DON'T DO THIS
BUT I DO NEED POINTS SO COMMENT
Answer:
Huh?
Step-by-step explanation:
translate the expression "the product of a number and 5"
Answer: x ∗ 5 = y or y = x∗5
Zoé compró 3 quesos de 3/5 cada uno. ¿cuántos Kilogramos de queso tiene en total?
Answer:
Huh?
Step-by-step explanation:
?