Answers
Answer:
yes
Step-by-step explanation:
Supplementary angles sum to 180°
105° + 75° = 180° , thus
105° and 75° are supplementary angles
Related Questions
What is the y-intercept of the parabola defined by y=−2x2+6x−8 and what is the equation of the axis of symmetry?
Answers
Answer:
y-intercept = (0, 8)
axis of symmetry= -b/2a
Step-by-step explanation:
Also when you want something to be squared use this symbol ^
A sample of 29 boxes of cereal has a sample standard deviation of 0.81 ounces. Construct a 95% confidence interval to estimate the true standard deviation of the filling process for the boxes of cereal.
a. ( 0.427,1.144)
b. (0.515,1.105)
c. (0.726,0.726)
Answers
Answer:
The 95% confidence interval is [tex]0.6428 < \sigma < 1.0954[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 29
The sample standard deviation is [tex]s = 0.81[/tex]
Generally the 95% confidence interval to estimate the true standard deviation is mathematically represented as
[tex]\sqrt{\frac{(n- 1)s^2 }{ X^2_( \frac{\alpha }{2 } , n-1)} } < \sigma < \sqrt{\frac{(n- 1)s^2 }{ X^2_(1- \frac{\alpha }{2 } , n-1)} }[/tex]
Generally from the chi -distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 29 - 1 = 28[/tex] is
[tex]X^2 _{\frac{\alpha }{2} , 28 } =44.46079184[/tex]
Generally from the chi -distribution table the critical value of [tex]1 - \frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 29 - 1 = 28[/tex] is
[tex]X^2 _{(1 - \frac{\alpha }{2}) , 28 } = 15.30786055[/tex]
So
[tex]\sqrt{\frac{(29- 1)0.81^2 }{ 44.46079184 } } < \sigma < \sqrt{\frac{(29- 1)0.81^2 }{15.315.307860551 }[/tex]
=> [tex]0.6428 < \sigma < 1.0954[/tex]
John runs a computer software store. He counted 122 people who walked by his store in a day, 60 of whom came into the stores. Of the 60, only 23 bought something in
the store. Estimate the probability that a person who walks by the store will enter the store?
Answers
Answer:
unlikely
Step-by-step explanation:
60/122
60 ÷122=0.49
0.49 × 100 =49
49% chance
answer is unlikely
what are all values of x for which the series shown converges?
Answers
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}[/tex]
We can write this as:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}[/tex]
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}[/tex]
Then we have the inequality
[tex]1 > (x - 2)/3[/tex]
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
please need help answer
Answers
Answer:
yudsghbndnshegdm
Step-by-step explanation:send ur location come thruuuuuuuuuuuuuuuuuuuuuuuuuuu
To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Create a diagram to represent the quantities of each ingredient in this recipe.
Answers
The cost of an iPhone is $899.99 plus 8.5% tax. What is the cost of tax for the iPhone?
Answers
Answer:
724.0915
Step-by-step explanation:
multiply 899.99 and 8.5 you get 724.0915
hope this helps
Jessica, Hans, and Tom sent a total of 95 text messages during the weekend. Tom sent 3 times as many messages as Hans. Jessica sent 10 more messages than Hans. How many messages did they each send?
Answers
Answer: Manal = 27 messages
Elisa = 17 messages
Abdulrahman = 51 messages
Step-by-step explanation:
Let tye number of messages that Manal sent be x.
Since Eissa sent 10 fewer messages than Manal, this will be:
= x - 10
Abdulrahman sent 3 times as many messages as Eissa. This will be:
= 3(x - 10) = 3x - 30
We are also told that Manal, Abdulrahman, and Eissa sent a total of 95 text messages. This will be:
x + (x - 10) + (3x - 30) = 95
x + x - 10 + 3x - 30 = 95
x + x + 3x - 10 - 30 = 95
5x - 40 = 95
5x = 95 + 40
5x = 135
x = 135/5
x = 27
Manal = x = 27
Elisa = x - 10 = 27 - 10 = 17
Abdulrahman = 3x - 30 = 3×27 - 30 = 81 - 30 = 51
Manal = 27 messages
Elisa = 17 messages
Abdulrahman = 51 messages
What is the answer to the following?
1. 8/9 divide by 2/3
2. 4 divided by 3/4
3. 2 1/2 divided by 3/4
4. 4/9 divided by 5 1/3
5. 7/8 divided by 14
Answers
i would go with either a or b
Meredith borrows 12560 and pays 2 percent simple interest each year for 4 years what is the total amount of interest that she will pay on the loan
Answers
Answer:
$13564.8
Step-by-step explanation:
Step one:
given data
principal= $12560
rate= 2%= 0.02
time= 4years
Required:
the simple interest
Step two:
the expression for the simple interest is
A= P(1+rt)
substitute
A=12560(1+0.02*4)
A=12560(1+0.08)
A=12560(1.08)
A=13564.8
$13564.8
it's C (11,555.20)
now have a nice day guys
30 is 2/3 of what number
Answers
Answer:45
Step-by-step explanation:
Key Word:of
30*2/3 = 45
Answer:
Step-by-step explanation:
let the number be x.
then,
2/3 of x = 30
=> 2/3x = 30
=> x = 30 × 3/2
=> x = 45
so, the required number is 45 .
hope it helps...!!!
PLZ HELP if u know the amswer
Answers
Answer:
The correct answer is the last option (d.)
Step-by-step explanation
A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight
Answers
Answer:
The values of p = 0 < p ≤ 2/3
Step-by-step explanation:
First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable
P ( 6v flashlight working ) = P ( at least one 6V battery works )
= P ( 1 6v battery work ) + P ( 2 6v battery work )
= b( 2; 2, p ) + b( 1; 2, p )
write out a formula of b( 2; 2, p ) + b( 1; 2, p )
P ( 6v flashlight working ) = p^2 + 2p( 1 - p )
Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable
P ( D flashlight works ) = p ( at least two D batteries works )
= b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
write out a formula of b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]
attached below is the remaining solution
w pewnym trapezie o wysokości 6cm jedna z podstaw ma długość 9cm ,a druga jest od niej o 2cm krótsza . Pole tego trapezu wynosi:
Answers
Odpowiedź:
48 cm
Wyjaśnienie krok po kroku:
Jeśli się uwzględni:
Wysokość trapezu = 6 cm
Długość podstaw:
Podstawa 1 = a = 9 cm
Podstawa 2 = b = (a - 2) = 9 - 2 = 7 cm
Uaing relacji:
Powierzchnia trapezu = 1/2 (a + b) * h
Powierzchnia trapezu = 0,5 (9 + 7) * 6
Powierzchnia trapezu = 0,5 (16) * 6
Powierzchnia trapezu = 8 * 6
Powierzchnia trapezu = 48 cm
Help please can you do like (1) _____ then like (2) _____ please that would be helpful
Answers
Answer:
down there
Step-by-step explanation:
1. Adam 57 seconds, Cameron 60 seconds, Cody 60 seconds, Kevin 58 seconds, Joao 59 seconds
2.Just line the bars to the times
Need Help this is my test! I will mark you as brainliest if you answer!!!
The relationship between the number of hours traveled and the number of miles traveled on a
family road trip is graphed below.
750
15. What is the ratio of hours to miles?
675
600
525
16. How many miles could the family travel
in a period of 12 hours?
450
MILES
375
300
17. About how many hours will it take the family
to travel 700 miles?
225
150
75
Maneuvering the Middle LLC, 2015
1
2
8 9
3 4 5 6 7
TIME (HOURS)
Answers
Answer:
15) The ratio of hours to miles is 1 hour to 75 miles; 1/75
16) They will have traveled 900 miles.
17) It will take them around 9 hours.
Step-by-step explanation:
15) Finding the unit rate of the trend (which in this case I considered to be line) can be done by finding the slope and simplifying it. There is a constant linear slope in this graph so it was evident that as the x-values increased by 1, the y-values increased by 75. All you had to do was convert the values into ratio form which would be 1/75. The 1 should remain "numerator" and the 75 as denominator because it is the hour-to-mile ratio (the units were listed in thw instructions in the chronological order in which they were to be answered in ratio form; 1 hour to 75 miles).
16) You can set up an equivalent-ratios equation. Because we know that the unit ratio is 1 hour to 75 miles, and we were given the value of 12 hours, we can set up the equation like this: 1/75=12/x. I would then multiply the 75 miles by 12 so that the ratios will be proportionate. This gives me 900 miles. Now I know, based on the ratio 12 hours to 900 miles (12/900), that if the family travels for 12 hours, they will have traveled 900 miles.
17) We can do the same thing as we did in number 16. We just have to switch the value we use in the second ratio. This means that the equivalent-ratios equation will look like 1/75=x/700, because 700 miles is our given value as opposed to a value with a unit of hours, and miles are the denominators in these ratios. Now we have to see how many times 75 goes into 700 to figure out what to multiply the 1 by to get our proportionate ratios. We have to divide 700 by 75 which is roughly 9 (rounded down from 9.3). The ratio now reads: 1/75=9/700. This means that it will take the family around 9 hours to drive 700 miles (9 hours to 700 miles was the ratio).
Describe the cross section of the rectangular prism by naming its shape?
Answers
Answer:
rectangle
Step-by-step explanation:
Kind of a confusing question, but I'm guessing that its asking what the shape of the cross section is. And its a rectangle.
question is in the picture pls help me. much appreciated
Answers
So 2y-3+ 2y-3 = 12 or 4y-6= 12
Add 6 to both sides 4y=20
Divide 4 from both sides y=5
Hope this helps
This symbol means that both sets could have the same elements. (A ⊆ B)
True
False
Answers
Answer:
true
Step-by-step explanation:
because it is
Answer:
True
Step-by-step explanation:
A student said that since –9 is less than 4, then |–9| is less than |4|. Is the student correct? Explain why or why not.
Answers
Answer:
The student is incorrect because I I or absolute value would make the -9 to positive 9.
Step-by-step explanation:
-9<4
on a numberline
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
but the absolute value of -9 (or) |–9|
is actually positive 9
9>4
on a number line
4 5 6 7 8 9
Jonathan went shopping for a new camera. The listed price of the camera was $43, but the price with tax came to 46.87. Find the percent sales tax
Answers
Answer:
x = 8,25%
Step-by-step explanation:
46,87 - 43 = 3,87
$46,87 ----- 100%
$3,87 ------ x
46,87x = 100 . 3,87
x = 387 / 46,87
x = 8,25%
ASAP PLZ
Which of the following is a conditional statement?
I will eat anything that is dipped in chocolate.
Chocolate can be white or brown.
I like chocolate.
Chocolate chip cookies are the best kind.
Answers
Answer:
im pretty sure its the first
Step-by-step explanation:
What is the constant in this expression? X/5 - 9
Answers
Answer:
-9
Step-by-step explanation:
the constant is a single number
Help what is 2v+5(3v+4
Answers
explanation:
There isn't an exact way to answer this problem. Is there more to the question? If not, I am unable to answer it for you.
Which statement about these triangles is true?
Answers
Answer:
It's the last one
I hoped that helped
Let g (2) = 22 – 5 and h (2) = 22 +1.
Find (g+h) (2)
Answers
Answer:
23 + 17 = 40 :)
Need answerrrrrrrrrrrrr fast
Answers
My work is attached below. I hope you got a good score on your assignment!! ^w^
You stand 20 ft from a bottle rocket on the ground and watch it as it takes off vertically into the air at a rate of 18 ft/sec. Find the rate at which the angle of elevation from the point on the ground at you feet and the rocket changes when the rocket is 40 ft in the air. At the moment the rocket is 40 ft in the air, the angle of elevation is changing at a rate of rad/se.
Answers
Answer:
9/50 rad/sec
Step-by-step explanation:
let the angle be represented as ∅
distance form bottle rocket on the ground = 20 ft
height of rocket = 40 ft
solution
first we differentiate w.r.t.time
= sec²(∅)*(d(∅)/dt))=(1/20)*dh/dt --------- ( 1 )
= d(∅)/dt = (1/20)cos²(∅)* (dh/dt) ------- ( 2 )
note : 1/sec(∅) =cos(∅)
therefore ; dh/dt = 18 ft/sec
applying Pythagoras theorem
Tan ∅ = 40 / 20
h^2( hypotenuse ) = a^2( height ) + b^2 ( distance from bottle rocket )
h = √ 40^2 + 20^2 = √ 2000
also cos ( ∅ ) = b / h = 20 / √ 2000
hence cos²∅ = 1/5
Back to equation 2
d(∅)/dt=(1/20)×(1/5)×(18)
= 18/100 = 9/50 ( changing rate of angle of elevation )
Solve the system of equations.
- 52 + 2y = 9
y=73
T =
y =
Show Calculator
Answers
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
What is the value of n in this expression?
(9^3)^12=9^n
a) 36
b) 15
c) 9
d) 4
Answers
Answer:
A. 36
Step-by-step explanation:
[tex]9^{3*12} =9^{36}[/tex]
You multiply the the exponent