Answer:
332, 333, 334
Step-by-step explanation:
First, we acknowledge that the equation that we need to solve will be "x+(x+1)+(x+2)=999" This is because x represents the smallest of three consecutive numbers whose sum is 999. Simplifying this equation will leave us with 3x+3=999 which is simplified further to 3x=996 and again simplified to x=332. X is the smallest number of the three.
What is a angle called when two angles share a common side and a common vertex
Answer:
Adjacent Angles
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex and a common side but do not overlap. They share the same vertex and the same common side.
Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2
1,000
1,500
100
150
Answer:
1000
Step-by-step explanation:
\the incenter is a point of
Step-by-step explanation:
The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
Find the area of the trapezoid.
40 mm
24 mm
19 mm
A=
mm2
Answer:
A = 708 mm^2
Step-by-step explanation:
[tex]A=\frac{a+b}{2} h\\\\A=\frac{19+40}{2} *24\\\\A=\frac{59}{2} *24\\\\A= 708[/tex]
The ratio of 7/36 to 5/6
Answer:
7 : 30
Step-by-step explanation:
7/36 : 5/6
42 : 180
7 : 30
1. Which of the following is equivalent?
sin Θ cos Θ sec Θ csc Θ
a. 1
b. csc^2Θ
c. tan^2Θ
d. sec^2Θ
2. Which of the following is equivalent?
1/(cot^2Θ) * sec Θ cos Θ
a. 1
b. sec^2Θ
c. tan^2Θ
d. csc^2Θ
3. Which of the following is equivalent?
tan Θ/ cot Θ
a. cos^3Θ
b. tan^2Θ
c. sec^2Θ
d. sin Θ
9514 1404 393
Answer:
A, C, B
Step-by-step explanation:
It is helpful to remember the trig identities ...
sin = 1/csc
cos = 1/sec
tan = 1/cot
__
1. sin(θ)cos(θ)sec(θ)csc(θ) = (sin(θ)csc(θ))(cos(θ)sec(θ)) = (1)(1) = 1 . . . matches A
2. 1/cot²(θ)·sec(θ)cos(θ) = 1/(1/tan²(θ))·(1) = tan²(θ) . . . matches C
3. tan(θ)/cot(θ) = tan(θ)/(1/tan(θ)) = tan²(θ) . . . matches B
Answer:
1.sin Θ cos Θ sec Θ csc Θ
sinocoso×1/coso ×1/sino=1
1. is the required answer
2.1/(cot^2Θ) * sec Θ cos Θ
=sin²o/cos²o×1/coso×coso
=sin²o/cos²o
tan²o is answer
3.tan Θ/ cot Θ
sino/coso/(coso/sino)
sin²o/cos²o
tan²ois answer here o = theta
Solve the proportion
The dimensions of a rectangular crate are 6 feet, 8 feet, and 10 feet. What is the
volume?
Answer:
480
Step-by-step explanation:
The formula is L*W*H
6*8*10=480
pls pls pls pls helpppp
Answer:
30
Step-by-step explanation:
21*10=210
210/7=30
x=30
Answer:
30..
Explanation
Some iPhones produced within a time period have faulty battery issues. Thirty percent of such iPhones will need battery service while under warranty. A family owns 5 iPhones produced within the time frame of potential faulty production.
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
(c) What is the expected number of iPhones in the family that require service?
(d) What is the standard deviation of the number of iPhones in the family that requires service?
Answer:
a) 0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
b) 0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty
c) The expected number of iPhones in the family that require service is 1.5.
d) The standard deviation of the number of iPhones in the family that requires service is 1.0247.
Step-by-step explanation:
For each iPhone, there are only two possible outcomes. Either they have battery issues under warranty, or they do not. iPhones are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
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]
Thirty percent of such iPhones will need battery service while under warranty.
This means that [tex]p = 0.3[/tex]
A family owns 5 iPhones produced within the time frame of potential faulty production.
This means that [tex]n = 5[/tex]
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{2} = 0.1323[/tex]
[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{1} = 0.0284[/tex]
[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.0024[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.3087 + 0.1323 + 0.0284 + 0.0024 = 0.4718[/tex]
0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty.
(c) What is the expected number of iPhones in the family that require service?
[tex]E(X) = np = 5*0.3 = 1.5[/tex]
The expected number of iPhones in the family that require service is 1.5.
(d) What is the standard deviation of the number of iPhones in the family that requires service?
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.3*0.7} = 1.0247[/tex]
The standard deviation of the number of iPhones in the family that requires service is 1.0247.
1 of
Find all possible outliers for the following set of data: 108, 31, 75, 87, 79, 88, 89, 118, 51, 89, 174, 95, 51, 70, and 73
Answer:
31 and 174
Step-by-step explanation:
Eliminate the parameter. x = t^2 + 1, y = t^2 - 1.
Answer:
Eliminating the parameter, the equation is [tex]y = x - 2[/tex]
Step-by-step explanation:
We are given the following parametric equations:
[tex]x = t^2 + 1[/tex]
[tex]y = t^2 - 1[/tex]
We want to eliminate the parameter t. From the first equation:
[tex]x = t^2 + 1[/tex]
[tex]t^2 = x - 1[/tex]
Replacing in the second equation:
[tex]y = x - 1 - 1[/tex]
[tex]y = x - 2[/tex]
Eliminating the parameter, the equation is [tex]y = x - 2[/tex]
Which of the following describes volume? I. the amount of frosting on a cake II. the amount of space in a sock drawer III. the distance between two cities IV. the amount of fabric needed to cover a couch cushion
A. II
B. III
C. IV
D. I
Answer:2
Step-by-step explanation:
HELP WHOEVER ANSWERS CORRECTLY GETS BRAINLIEST ANSWER
5x+7y+12.5+6y+1x+5
Answer: 6x + 13y + 17.5
Step-by-step explanation:
Suppose you deposit 900 dollars into a bank with 5% simple interest. The amount in the account after t years is given by A(t)=900(1.05)t (in dollars).
1. What is the average rate of change for the first year? Rate (in dollars per year): 900(1.05)-900
2. What is the average rate of change for the first five years? Rate (in dollars per year):
3. What is the average rate of change for the first ten years? Rate (in dollars per year):
4. Does the average rate of change increase or decrease as time from the initial deposit gets longer?
Answer:
1. 45 dollars per year.
2. 49.73 dollars per year.
3. 56.6 dollars per year.
4. Increases
Step-by-step explanation:
Average rate of change
The average rate of change of a function [tex]f(x)[/tex] over an interval [a,b] is given by:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
In this question, we have that:
[tex]A(t) = 900(1.05)^t[/tex]
1. What is the average rate of change for the first year?
[tex]A(0) = 900(1.05)^0 = 900[/tex]
[tex]A(1) = 900(1.05)^1 = 945[/tex]
So
[tex]A = \frac{A(1)-A(0)}{1-0} = \frac{945-900}{1-0} = 45[/tex]
45 dollars per year.
2. What is the average rate of change for the first five years?
[tex]A(0) = 900(1.05)^0 = 900[/tex]
[tex]A(5) = 900(1.05)^5 = 1148.65[/tex]
[tex]A = \frac{A(5)-A(0)}{5-0} = \frac{1148.65-900}{5-0} = 49.73[/tex]
49.73 dollars per year.
3. What is the average rate of change for the first ten years?
[tex]A(0) = 900(1.05)^0 = 900[/tex]
[tex]A(10) = 900(1.05)^{10} = 1466[/tex]
[tex]A = \frac{A(10)-A(0)}{10-0} = \frac{1466-900}{10-0} = 56.6[/tex]
56.6 dollars per year.
4. Does the average rate of change increase or decrease as time from the initial deposit gets longer?
From the previous items, it increases.
True or False: Slope is always rise over run.
Answer:
The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).
Step-by-step explanation:
Answer:
Good sir/madam, in a fraction, it is always rise over run.
Tiana uploaded 150 songs from her computer to her cell phone. These songs took up 300
megabytes of space on her phone. Each song took up the same amount of space.
How many megabytes do 25 of these songs take up?
Answer:
50mb
Step-by-step explanation:
So start with what you have 300/150 = 2 so each song took up 2mb of space, so 25 songs would take up 25x2= 50mb
The number of megabytes taken up by 25 songs is 50 megabytes.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
150 songs = 300 megabytes
1 song = 300 /150 megabytes
1 song = 2 megabytes ______(1)
Now,
Multiply 25 on both sides of (1).
25 songs = 25 x 2 megabytes
25 songs = 50 megabytes
Thus,
25 songs will take 50 megabytes.
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Name the geometric term modeled by a pinhole
in a wall.
A. Line Segment B. Plane
C. Line D. Point
Answer:
D. Point
Step-by-step explanation:
The wall would be like a plane.
You're looking at the wall, and the pinhole is a dot, and the dot is a point.
Solve 3x + 2y = 11 for y
Answer:
y=-3/2x+5.5
Step-by-step explanation:
Subtract 3x from both sides. You are left with 2y=-3x+11. To isolate the y by itself, divide by 2 on both sides. you are left with y=-3/2x+5.5
The measure of an angle is 72 degrees what is the measure of its conplementary angle
Answer:
18
Step-by-step explanation:
PLEASE I NEED HELP THIS NEEDS TO GET DONE SOON AND IM STUCK):
Question 2 Multiple Choice Worth 2 points) (06.03) For the expression y + 6 - 3, determine the coefficient for the variable term 1 06
Answer:
1
Step-by-step explanation:
whenever there is a varible alone the coefficient is 1
A15,3), B12,1), and C-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are
the coordinates of the image?
O A'(-5,3), B(-2,1), C(2,4)
A'(-5,3), B(-2,1). C(-2,4)
O A'(-5,-3), B(-2,-1), C(2,-4)
A(5.-3), B(2.-1). C(-2,-4)
Kacey is making a bracelet that is 8 inches long. She uses 1 green bead at each end of the bracelet. She also uses 1 green bead every 2 inches
between the two ends. How many green beads does she use?
A. 16
B. 7
C.5
D.4
Answer:
The answer would be C. 5
Step-by-step explanation:
10) Quantas combinações de duas cores podemos fazer com as cores verde, azul, amarelo,
vermelho e preto.
a) 20
b) 10
c) 38
d) 45
Which of the following situations result in an answer of 2/3? Select three that apply.
A: three dogs each drink 2 cups of water. How many cups of water does each dog drink in all?
B: Two apples split among 3 people. How much of an apple does each person recieve?
C: Two gallons of water needed to fill 3 fish tanks of an equal size. How many gallons of water are required for each tank?
D: Three cupcakes are divided among 2 children. How much of a cupcake would each children receive?
E: Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?
F: Three cats share 2 cans of tuna. How much of a can does each cat receive?
Solve for x.
(Round to the nearest hundredth)
Answer:
x=26.44
rounded to the nearest hundredth.
Step-by-step explanation:
Soh Cah Toa
We need opposite for x and adjacent for 44
Length × Tan (Angle)
44 × Tan (31)=26.43786724
Please answer the blanks
Answer:
5/6=10/12 10/12=5/6 3/12=1/4 3/4=9/12
Precalculus (view picture) pt2
Answer:
E
Step-by-step explanation:
A rectangular park is 56 mi wide and 157 mi long.
What is the area of the park as a mixed number simplest form?
Answer:
8792mi^2
Step-by-step explanation:
basic area calculations width times length
Find the radius of a circle if its center is (2,3) and one point on the circle is (5,3).
Answer:
Step-by-step explanation:
radius = distance between (2,3) and (5,3) = √[(5-2)² + (3-3)²] = 3
The required radius of the circle is
center is (2,3)
point on the circle is (5,3).
What is radius?
Radius of the circle is the distance between the center to the circumference.
Radius = [tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
=[tex]\sqrt{(5-3)^2-(3-3)^2}[/tex]
Radius = [tex]\sqrt{4}[/tex]
Radius = 2
Thus, the required radius is 2 .
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