Answer:
2142
Step-by-step explanation:
The range is the difference between the biggest and smallest number so for this set it would be 3113-971=2142.
Lana runs a business where she fixes bikes. She charges $15.75 per hour for her labor as well as a $25 flat fee for any parts she may use. Write and solve a linear equation to find the total cost for her customer if she fixes a bike from 8:30 a.m. to 12:30 p.m
Answer:
y = 15.75x + 25 is the linear equation
$88 would be the total cost
Step-by-step explanation:
First, create the equation using y = mx + b, where x is the number of hours:
y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25
There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:
y = 15.75x + 25
Plug in 4 as x:
y = 15.75(4) + 25
y = 63 + 25
y = 88
So, the total cost would be $88
There is a scale model of the White House in Tobu World Square in Japan. The scale used for the model is 1:25. The height of the main building of the White House is 85 feet. Find this height on the model. (3.4 feet)
Answer:
3.4 multiply 1-4
Step-by-step explanation:
there is a scale of white house
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.
Step-by-step explanation:
6 customers per hour [tex]=1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)
Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]
Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.
Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]
[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]
a)[tex] \begin{array}{c}
P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\
P(X<12)=0.699 \end{array}[/tex]
[tex]\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\[/tex]
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
if x² =61base 8 find x
Answer:
x = + 7 or -7
Step-by-step explanation:
61 base 8 = 6*8+1 base 10 = 49
x^2=49
x = + 7 or - 7 base 10
x = + 7 or -7 base 8
Find the measure of
Answer:
the measure of what?????
Find the area of the shape
Answer:
I think the answer is 672 please be right
Seven days ago, the gas tank on Rosa's car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. a. What integer represents the change of gasoline in the past seven days? b. What is the mean change in gasoline in gallons per day? c. What is the fuel efficiency, in miles per gallon, of Rosa's car if she drove 490 miles in the past seven days?
Answer:
Answer: -14 gallons. Given : Seven days ago, the gas tank on Roses car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. ∵ 20> 6 , it means there is decrease in the amount gasoline.
Step-by-step explanation:
Your welcome :)
Question 3
Name the transformations of the next equation y
Answer:
1غىخةضهاثضخ
Step-by-step explanation:
ى7غ-3ص0ض49ة=
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
What is the relationship between the angles of this equilateral triangle
Answer:
Is it A+B+C= 180 degrees
Step-by-step explanation:
all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees
Answer:
Is it A+B+C= 180 degrees
Step-by-step explanation:
all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees
PLEASE HELP ILL GIVE BRAINLIEST
PLEASE HELP
If Joey can run 24 miles in 6 hours, how many miles
can he run in 2 hours? SHOW YOUR WORK! (Hint:
Use equivalent ratios/fracción
Answer:
8 miles
Step-by-step explanation:
24 miles/6 hours = 4 miles per hour
4 miles per hour x 2 hours = 8 miles
Answer:
8 miles
Step-by-step explanation:
24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.
Which statements about the values 0.034 and 3.40 are true?
Answer:
Hope this helps! If I can have brainliest I'm trying to rank up.
Step-by-step explanation:
3.4 is 100 times more than 0.034.
0.034 is 1/100 of 3.4.
We look at the statements about the values of 0.034 and 3.40 are true.
0.034 times 100 = 3.4 , When we multiply by 100 we move the decimal point two units to the right .
So, 3.4 is 100 times more than 0.034.
3.4 times 1/100 = 0.034 , When we divide by 100 we move the decimal point two units to the left .
So, 0.034 is 1/100 of 3.4
The table below models a exponential function. Find f(8)
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1
21. Which is the correct answer
Note: (if you give me a silly or absurd answer I will report you)
Answer:
Step-by-step explanation:
Jajajjajajjaajajajajajja
Find the LCM of 16,25 and 35 using the prime factorization method
Answer:
it's 2800
Step-by-step explanation:
2×2×2×2×5×5×7
You spent $2000 on new furniture. The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments. How much are the monthly payments?
Answer:
100$
Step-by-step explanation:
400/4 = 100
HOPE THIS HELPS
Plzz mark brainliest
If spent $2000 on new furniture. The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments. Then $400 is the monthly payments
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Spent $2000 on new furniture.
The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments
The remaining balance can be calculated
$2000-$400=$1600
Now $1600 is to be paid in four months
Divide $1600 by 4 as we have to pay it in 4 months
1600/4
400 per month.
Hence $400 is the monthly payment.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
State the domain and range of the relation given in the table below, and determine if it is a function,
х 16 -8 4 1 -8 7
y 8 -6 -14 -9 7 24
Domain: {
Range:{
Is the relation a function?
O No
OYes
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 139t + 185,
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after
seconds.
How high above sea level does the rocket get at its peak?
The rocket peaks at
meters above sea level.
Answer:
the splash down occurs when h(t) = 0
0 = -4,9t2 + 139t + 185
using the quadratic formula,
t = -1.27 or 29.64 seconds
since time can't be negative
t = 29.64 secs
at the peak, h(t) is maximum
applying calculus,
[d{h(t)}}/dt = -9.8t + 139
at h(t) maximum, [d{h(t)}}/dt is 0
0 = -9.8t + 139
9.8t = 139
t = 14.18 secs
substituting,
h(t) = – 4.9t2 + 139t + 185
h(t) = -4.9(14.18^2) + 139(14.18) + 185
= 1170.77 m
Answer:
Step-by-step explanation:
y = ax² + bx + c
D = b² - 4ac
[tex]x_{12}[/tex] = ( - b ± √D ) ÷ 2a
[tex]y_{max}[/tex] = - [tex]\frac{b}{2a}[/tex]
~~~~~~~~~~~~~
h(t) = - 4.9t² + 139t + 185
- 4.9t² + 139t + 185 = 0
D = 139² + 4(- 4.9)(185) = 22947
[tex]t_{12}[/tex] = ( - 139 ± √22947) ÷ 2(- 4.9)
[tex]t_{1}[/tex] ≈ 29.641 ≈ 30 seconds
[tex]t_{2}[/tex] < 0
[tex]h_{max}[/tex] = - 4.9( [tex]-\frac{139}{2(-4.9)}[/tex] )² + 139( [tex]-\frac{139}{2(-4.9)}[/tex] ) + 185 ≈ 1170.7653 ≈ 1171 meters
Which is the factorization of 8x2 + 13x - 6?
G C
A
(8x - 3)(x + 2)
(x-6)(8x + 1)
(2x - 2)(4x + 3)
(4x - 1)(2x + 6)
Answer:
(8x - 3)(x + 2)
Step-by-step explanation:
A factorization must have a result equals to the original expression.
In this question:
For each option, we test to see if the result is equal, applying the distributive property and then combining like terms.
(8x - 3)(x + 2)
8x² + 16x - 3x - 6 = 8x² + 13 - 6
Equal, so this is the factorization.
(x-6)(8x + 1)
8x² + x - 48x - 6 = 8x² - 47x - 6
Different
(2x - 2)(4x + 3)
8x² + 6x - 8x - 6 = 8x² - 2x - 6
Different
(4x - 1)(2x + 6)
8x² + 24x - 2x - 6 = 8x² + 22x - 6
Different
Factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).
What is Factorization?Factorization simply means to write an algebraic expression as products of two factors.
Given the algebraic expression:
8x² + 13x - 6
Factorize as follows:
8x² + 16x - 3x - 6
(8x² + 16x) - (3x - 6)
8x(x + 2) -3(x + 2)
(8x−3)(x+2)
Therefore, factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).
Learn more about factorization on:
https://brainly.com/question/25829061
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
Please help!!!
Can someone find out what a, b, c, and d is??
Answer:
a=64
b=112
c=78
d=88
Step-by-step explanation:
hope this helps have a nice day !!!
Help please!
Store A sells jeans for 7/8 of the price at Store B. Store A sells jeans
for $35. Write and solve an equation to find how much you save by
buying jeans at Store A.
Answer:
35/(7/8)=
35*8/7=40 store B
40-35=$5 Saved
Step-by-step explanation:
Hope this helps :D
Which exponential functions have been simplified correctly? Check all that apply.
f(x) = 53/16* = 5(23/2)*
F(x) = 2.310 Ž* = 2.3(43*
F(x)=81-34
OfW) = 27' = (3/3)*
Orx)=(24) ** = 2(13)
Answer:
A, C, and D are the exponential functions that have been simplified correctly
How many triangles can you make with the following sides: 1,3,10
PLS HELP ME ASAP I NEED HELP-
20 PTS.
Which function is graphed below?
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
PLEASE HELP!!!
The polygons are similar. The area of one polygon is given. Find the area of the other polygon
Answer:
Area of the other polygon = 4 in.²
Step-by-step explanation:
Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon
Let "x" represent the area of the smaller polygon
Thus, we have:
100/x = 20²/4²
100/x = 400/16
100/x = 25
Cross multiply
25x = 100
Divide both sides by 25
25x/25 = 100/25
x = 4
Area of the other polygon = 4 in.²
A sinusodial function whose frequency is 3, maximum value is 12, minimum value is -6 has a y-intercept of 3.
What function could be the function described
Answer:
f(x)=9sin(6πx)+3
what is the answer to this? x+2x+5
Answer:
3x+5
Step-by-step explanation:
You just have to combine like factors.
Hope this helps! Have a good day!
The interest of $6000 in 3 years is 600. what is the simple interest rate?who is this
Answer:
3.33%Step-by-step explanation:
The interest amount in one year:
600/3 = 200Interest rate:
200/6000*100% = 3.33%