Using the area of the right triangle, it is found that the probability of a value in the sample space being anywhere from 60 to 80 is of 16%, hence option A is correct.
What is the area of a right triangle?
The area of a right triangle is given by half the multipliction of it's sides.
In this problem, the total area has sides 0.04 and 50, hence:
T = 0.04 x 50/2 = 1.
The area between 60 and 80 has sides 0.016 and 20, hence:
D = 0.016 x 20/2 = 0.16.
The probability is of 16%, hence option A is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
Answer:
16%
Step-by-step explanation:
(2x > 10) list some values for x that would make this inequality true
Answer:
6,7,8,9
Step-by-step explanation:
> means Greater than
< means Less than
Thus,
Any number that greater than 10 would make this inequality true..
Some possible values for x can be:
6,7,8,9,11,12,13,14,15,16,17,18 and so on
[RevyBreeze]
A group of friends were working on a student film that had a budget of $1400. They used $168 of their budget on costumes. What percentage of their total budget did they spend on costumes?
Answer:
12%
Step-by-step explanation:
$ spent / total budget
168 / 1400 = 0.12
0.12 = 12%
Fill in the blanks below to complete
the rules for even and odd numbers.
1. Even + Even =
Show an example to prove your answer.
2. Odd + Odd =
Show an example to prove your answer.
3. Even + Odd =
Show an example to prove your answer.
Step-by-step explanation:
1) Even + Even = Even
example : 26 + 22 = 48
2) Odd + Odd = Even
example : 11 + 13 = 24
3) Even + Odd = Odd
example : 43 + 2 = 45
Find the area of each. Round to the nearest tenth.
Answer:
346.361 Yd^2 rounded to the nearest tenth is 346.4 Yd^2
Step-by-step explanation:
The area of a disk is A=π[tex]R^2[/tex] where R=10.5 yard.
Answer:
346.2 yd^2
Step-by-step explanation:
Area of a circle: π*r^2π = 3.14radius (r) = 10.5 ydπ*r^2 <== substitute the numbers for pi(π) and radius(r)
3.14*10.5^2
3.14*110.25
346.185 <== round to the nearest tenth
346.2 yd^2
Hope this helps!
Help please, this is due on April 18th tmr. :/
Answer:
m<RUS = 65°
m<UST = 15°
Step-by-step explanation:
Hi there!
We are given circle O, with a diameter of US
The measure of arc RU is 50°, and the measure of arc UT is 30°
We want to find the measure of <RUS and <UST
First, let's start with <RUS
As stated before, we were given the diameter of a circle - that is segment US
Notice how ΔRUS (which contains <RUS) contains the diameter US - this means that the portion of the circle that contains ΔRUS is a semicircle.
If that portion is a semicircle, then that means that m<URS is 90°
Next, we know that the measure of arc RU is 50°
Notice how <RSU is an inscribed angle, meaning that it is created by 2 chords, and that its vertex is on the circle itself
Inscribed angles are half the measure of the arcs they intercept. The arc that <RSU intercepts is arc RU, which means that the measure of <RSU is 25°
Now, to find m<RUS, you can do m<URS - m<RSU, as the acute angles in a right triangle add up to 90°
In that case:
m<RUS = m<URS - m<RSU
via substitution, m<RUS = 90° - 25°
m<RUS = 65°
Now we need to find the measure of <UST
Notice how m<UST is also an inscribed angle
The arc it intercepts is arc UT, which we were given has a measure of 30 degrees
Therefore, m<UST = half of the measure of arc UT
Via substitution,
m<UST = 1/2 * 30
m<UST = 15°
Hope this helps!
Calculate the magnitude of :
1.1.
[tex] \alpha [/tex]
Answer:
135°
have a nice day
hope it helps
Reduce the fraction 1602
-450
Answer:
the redued version of the fration 1602/420 is 3 14/25
Answer:
89/25
Step-by-step explanation:
you divide 1602 and 450
Given that (-2,-2) is on the graph of f(x), find
the corresponding point for the function
f(x) +5.
Enter the correct answer.
Answer: The corresponding point for the function 4f(x) is (5 , 24)
Step-by-step explanation:
no
Simplify the expression. 20 • 5–2
a) 25
b) –500
c) –200
d) 4/5
Answer: D) 4/5
Hope this helps :)
Help picture below problem 19
Answer:
it's rectangle...
Step-by-step explanation:
mark me brainliest
Answer:
that's C. Its' a rectangle
It has 2 pairs of parallel sides. and they are the same size.
solve for x ~
[tex]81x - 27x = 9[/tex]
thankyou ~
Listen ducky: 81x-27x=9
54x=9
X=1
---
6
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \:81x - 27x = 9[/tex]
[tex]\qquad \tt \dashrightarrow \:9(9x - 3x )= 9[/tex]
[tex]\qquad \tt \dashrightarrow \:(9x - 3x )= 1[/tex]
[tex]\qquad \tt \dashrightarrow \:6x = 1[/tex]
[tex]\qquad \tt \dashrightarrow \:x = \cfrac{1}{6} [/tex]
Making auto parts A grinding machine in an auto
parts plant prepares axles with a target diameter
p = 40.125 millimeters (mm). The machine has
some variability, so the standard cleviation of tlic
diameters is a = 0.002 mm. The machine operator
inspects a random sample of 4 uxles cach hour for
quality control purposcs and records llic sample
mcan diameter 1. Assuming that the process is work-
ing properly, what are the mean and standard devia I
fion of the sampling distribution of ? Explain.
Answer: See below
Step-by-step explanation:
Mean:
Since the sample is taken from a large population it follows the central limit theorem, which states that the sample mean is approximately equal to the population mean.
Therefore: [tex]\bold{\bar{X}=\mu=40.125}[/tex]
Standard Deviation:
Again by central limit theorem the standard deviation of the sample is calculated as:
[tex]S=\frac{\sigma}{\sqrt{n}}[/tex]
Since n=4, therefore
S = 0.001
Suppose that $500 is deposited into an account that pays 5.5% interest compounded
quarterly. How long will it take for the account to contain at least $1400? Round to the
nearest whole number.
Answer:
18.85 years
Step-by-step explanation:
Using the [tex]A=P(1+\frac{r}{n} )^{nt}[/tex] we can manipulate it to give us time.
However, let's identify our variables:
A is our final amount which is given to us, $1400.
P is our principle which is $500.
r is our rate which is 5.5% which can be traducted into 0.055.
n is the # of time our money get compounded per year, in this case quarterly means 4 times a year therefore n = 4.
t is time and is what we are trying to solve for.
Now let's manipulate our equation to find t:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
[tex]\frac{A}{P} =(1+\frac{r}{n} )^{nt}[/tex]
[tex]\frac{1400}{500} =(1+\frac{0.055}{4} )^{4t}[/tex]
[tex]2.8=1.01375^{4t}[/tex]
[tex]log_{1.01375}(2.8)=log_{1.01375}1.01375^{4t}[/tex]
[tex]log_{1.01375}(2.8)=4t[/tex]
[tex]\frac{log_{1.01375}(2.8)}{4} =t[/tex]
[tex]18.84876253=t[/tex]
It would take about 18.85 years in order for you to accumulate at least $1400.
what would be the best response to the question in the picture above please respond soon. (will give brainliest)
Now consider the product of a nonzero rational number and an irrational number. Again, assume x = where a and b are integers and b#0. This time lety be an irrational number. If we assume the product x.y is rational, we can set the product equal to where mand n are integers and n = 0. The steps for solving this equation for y are shown. Statement Reason cy= 02 72 D.y= substitution 8 y = multiplication property of equality a mb na Simplify Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?
Answer:
The product of a rational number with an irrational number is an irrational number. To see this assume that x is a rational number and y an irrational number. Then let us assume that the product xy is rational, which means that there are integers a,b such that xy=a/b. But then we obtain y=(1/x)(a/b) which is also rational since the set of rational numbers is closed under multiplication. But this is a contradiction since y was assumed to be an irrational number.
Step-by-step explanation:
Question:Now consider the product of a nonzero rational number and an irrational number. Again, assume x =a/b , where a and b are integers and b ≠ 0. This time let y be an irrational number. If we assume the product x · y is rational, we can set the product equal to m/n, where m and n are integers and n ≠ 0. The steps for solving this equation for y are shown. Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?
Answer:2
What is a self portrait______
A. A portrait done by the artist of his or herself
B. An artistic photo of a group of people including yourself
C. A portrait of shelves
D. A selfie
option A
hope it helps...!!
Find the set of values of m for which the line with equation y = mx + 1 and the curve with equation y = 3x^2+ 2x + 4 intersect at two distinct points.
Answer:
Given : line y=mx+4 intersects the curve y=3x2 −4x+7at two distinct points.
To find : set of values of m
Step-by-step explanation:
y = mx + 4
y = 3x² − 4x + 7
Substitute y = mx + 4 to find intersection point
mx + 4 = 3x² − 4x + 7
=> 3x² - x(m + 4) + 3 = 0
(m + 4)² > 4(3)(3)
=> m² + 8m + 16 > 36
=> m² + 8m - 20 > 0
=> (m + 10)(m - 2) > 0
m < - 10 & m > 2
m = (-∞ , - 10) ∪ ( 2 , ∞ )
Help. I will give points
Answer:
arc sr
Step-by-step explanation:
i can't see the options for the question so lol
im gonna say its sr arc
What is 5389 rounded off to the nearest 100?
Answer:
5400
Step-by-step explanation:
the 89 is higher then 5 so it would round the 3 up to a 4
Answer:
5389 rounded to the nearest 100 is 5400
Step-by-step explanation:
we round the number up to the nearest 100 if the last 2 digits of the number are 50 an d over we round the number down to the nearest 100 if the last 2 digets are 49 and below
What is the domain and range? what type of relation is this
Good people please help me!!!!
Answer:
P=90°
R=45°
Step-by-step explanation:
PQR=180°
180°-45°=135°
R=45°(iscoles triangle)
P=90°
Please help as fast as possible
[tex]\rm Answer:[/tex]
20.125%
To find the relative frequency, divide the frequency(f) by the total number of data values (n).[tex]\rm \# KiroToshiroComeback[/tex]
Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.07t2 + 0.007t + 5. How many seconds will it take for the frisbee to hit the ground?
Solving the quadratic equation, it is found that it will take 8.5 seconds for the frisbee to hit the ground.
What is the equation for the frisbee's height?It is given by:
h(t) = -0.07t² + 0.007 + 5.
Which is a quadratic function with coefficients a = -0.07, b = 0.007, c = 5.
It hits the ground when h(t) = 0. Hence, the solution is found as follows.
[tex]\Delta = (0.007)^2 - 4(-0.07)(5) = 1.400049[/tex]
[tex]x_1 = \frac{-0.007 + \sqrt{1.400049}}{2(-0.07)} = -8.4[/tex]
[tex]x_2 = \frac{-0.007 - \sqrt{1.400049}}{2(=0.07)} = 8.5[/tex]
It will take 8.5 seconds for the frisbee to hit the ground.
More can be learned about quadratic equations at https://brainly.com/question/24737967
If there is 54% increase on a $54 item, then how much is the new cost for next year? Round to the nearest penny.
Round your answer to 2 decimal places.
Answer: $83.16
Step-by-step explanation:
This means that next year the item will cost 154% of what it is now.
154% / 100 = 1.54
$54 * 1.54 = $83.16
Next year the item will cost $83.16.
MAX POINTS help me
The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:a \sin(bx) + c[/tex]
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]
General equation:-
Asin(bx)+cSo
Amplitude=A=-3Min=-2 ,max=4
Hence
b=|(mn)|π/mxb=|-2|π/4b=2π/4b=π/2midline =c=1
So plugin the values
y=-3sin(π/2x)+1what is the solution to the system of equations graph below
[tex]\large\pink{\mid{\underline{\overline{\tt { →\: (-5,1)}\mid}}}}[/tex]
Option ( A ) → (-5,1)Intersecting lines→ When two lines share exactly one common pointcuz here,the pôint where two lines meet is (-5,1) hence this is the solution of above graph.x = -5 , y = 1_______________☃️[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
3d + d what do i put this is Confusing
Answer:
4d
Step-by-step explanation:
i think any variable alone with no coefficient equals one
so this problem is like adding the terms 3d + 1d
so 1+3=4
and you use the variable d at the end
therefore the answer would be 4d
hope this helped<3
Answer:
4d
Step-by-step explanation:
3d+d this means 3d+1d because any variable without a coefficient is 1
which means
3d+1d
=4d
hope this helps!!!
find the period pls help asap
To find the period
⇒ let's define what the period is
Definition of Period: the interval of time between successive occurrences of the same state in an oscillatory or cyclic phenomenon
Based on the definition:
⇒it states that we must look for how long it takes the function to
complete one cycle of repetition
In this graph: it takes [tex]\pi /2[/tex] to complete one period or one cycle of repitition
Answer: [tex]\frac{\pi }{2}[/tex]
Hope that helps!
The graph of a function g is shown below.
Find g(1) and find one value of x for which g(x)=-1.
1) g (1) = ?
2) one value of x for which g (x) = -1 ?
Answer:
this is wrong
is the answer
if you like my answer please like comment and mark me as brilliant
Jason and his three friends went bowling. They bowled all afternoon and each paid $3.25 per game. Jason had a coupon for one free game. Three of his friends paid $2.75 each to rent shoes. Using this information, Jason writes the expression 3.25\left(g-1\right)+2.75\left(3\right). What does Jason’s expression represent? the number of friends who bowled the number of friends who bowled the number of games Jason and his friends bowled the number of games Jason and his friends bowled the amount of money Jason saved using the coupon the amount of money Jason saved using the coupon the amount of money Jason and his friends spent that afternoon
The expression 3.25(g-1) + 2.75(3) by Jason and his friends is a linear expression
The number of friends who bowled is 3The number of games Jason and his friends bowled is gThe amount of money Jason saved using the coupon is 3.25 The amount of money Jason and his friends spent that afternoon is 3.25(g-1) + 2.75(3)How to interpret the expression?The expression is given as:
3.25(g-1) + 2.75(3)
The above expression means that:
-1 represents the coupon on one free game3.25 represents the amount paid per game2.75 represents the amount paid to rent a shoe3 represesents the number of shoes they rentRead more about linear expressions at:
https://brainly.com/question/14323743
PLEASE HELP
The pictures to the right show how much sausage and pepperoni pizza was left at the end of one day. Which fraction represents how much more sausage pizza then pepperoni pizza was left?
Answer:
3/8
Step-by-step explanation:
There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.
sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left
Now, let's fill in the numbers.
7/8 - 4/8 = ?
7/8 - 4/8 = 3/8
Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.
I hope this helps! Have a lovely day!! :)
Answer:
3/8
Step-by-step explanation:
So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt