Answer:
V = 2000 km/h
Step-by-step explanation:
Recall that you need to follow proportionality here, and the ratio involved is: 10 km / 1 cm
then if the vector is 2 m long, then it is 200 cm long (converting it from meters to the same units as our scale which is in cm)
then we have to solve the following proportion to obtain the velocity "V":
10 km/h / 1 cm = V / 200 cm
multiply both sides by 200 to solve for V:
V = 2000 km/h
Reflect the figure over the line y = -1/2x +1.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The line of reflection has a slope of -1/2, so each image point will be on a line of slope 2 through the corresponding pre-image point. It may be easiest to count the grid squares between the pre-image point and the line, then again from the line to the location of the image point. Those distances will be the same.
The reflected image is shown in the first attachment.
__
If you want to do this algebraically, the formulas for finding the reflected points are given in the second attachment. For the given line, these become ...
(x, y) ⇒ (4/5 + 3/5x -4/5y, 8/5 - 4/5x - 3/5y)
Example:
C(-3, -5) ⇒ ((4 +3(-3) -4(-5))/5, (8 -4(-3) -3(-5))/5) = (15/5, 35/5) = C'(3, 7)
Question The average number of acres burned by forest and range fires in a county is 4,500 acres per year, with a standard deviation of 780 acres. The distribution of the number of acres burned is normal. What is the probability that between 3,000 and 4,800 acres will be burned in any given year? Round your answer to four decimal places. Provide your answer below:
Answer:
The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206
Step-by-step explanation:
Given
Mean = μ = 4500 acres
SD = σ = 780 Acres
Two data points between which the probability has to be calculated are:
3000 and 4800
x1 = 3000
x2 = 4800
z-score will be found for both data points
z-score is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
The z-scores are:
[tex]z_1 = \frac{x_1-mean}{SD} = \frac{3000-4500}{780} = \frac{-1500}{780} = -1.92\\z_2 = \frac{x_2-mean}{SD} = \frac{4800-4500}{780} = \frac{300}{780} = 0.3846[/tex]
Now we have to find probabilities for both z-scores using the z-score table
[tex]P(z_1<-1.92) =0.02743\\P(z_2<0.3846)= 0.6480[/tex]
Now for the probability between both values
[tex]P(-1.92<z<0.3846) = P(z_2) - P(z_1) = 0.6480-0.02743 = 0.62057[/tex]
Rounding off to four decimal places
0.6206
Hence,
The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206
Explanation for solving the following equation
1/2(f+4)=8
what's 2x + 54. Just lmk whenever
Answer:
It's 27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
When playing the lottery game Cash4Life, you must choose a cash ball number from 1 through 4. What is the probability that the randomly drawn cash ball is at least 2?
A. 0.50
B. 0.75
C. 0
D. 0.25
Answer:
[tex]P(At\ least\ 2) = 0.75[/tex]
Step-by-step explanation:
Given
Balls = 1 to 4
Required
Determine the probability of selecting ball numbered at least 2
Here, we'll assume that all numbers have the same probability.
The probability of each ball will be:
[tex]Probability = \frac{1}{4}[/tex]
So:
[tex]P(At\ least\ 2) = P(2) + P(3) + P(4)[/tex]
Recall that
[tex]Probability = \frac{1}{4}[/tex] --- for each ball
So, the equation becomes
[tex]P(At\ least\ 2) = \frac{1}{4} + \frac{1}{4} + \frac{1}{4}[/tex]
[tex]P(At\ least\ 2) = \frac{3}{4}[/tex]
[tex]P(At\ least\ 2) = 0.75[/tex]
Three friends went out to dinner. Their bill came to $30.00, and
they decided to tip the waitress 20%. How much did they spend
in total?
Answer:
$36.00
Step-by-step explanation:
There are 2 methods
Method 1: 30*1.20=36
Method 2: 30*.20=6 30*6=36
Which of the following sets of numbers can be the lengths of the sides of a triangle?
Answer:
A. 2.6, 8.1, 10.2
Step-by-step explanation:
According to the Triangle Inequality, the sum of any two sides has to be greater than the third side. From those answer choices, only 2.6, 8.1, 10.2 satisfy the Triangle Inequality.
To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the category of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat
Answer:
0.60
Step-by-step explanation:
In the category of pets
22 students had a cat = P(C)
17 students had a dog = P(D)
9 students had both a dog and a cat = P(C and D)
The formula to find the Probability of two events =
P(C or D) = P(C) + P(D) - P(C and D)
P(cat or dog) = P(cat) + P( dog) - P(cat and dog)
P(cat or dog) = 22/50 + 17/50 - 9/50
P(cat or dog) = 0.44 + 0.34 - 0.18
P(cat or dog) = 0.60
The probability the student will have a dog or a cat is 0.60
The function h(x) = 2x – 8+ 1 is a transformation of the parent function f(x) = x. Select all the statements that describe a key feature of function h.
Answer:
1
4
5
Step-by-step explanation:
Find the polar equivalent of xy=6
Answer:
[tex]r^2 sin2\theta = 12[/tex]
Step-by-step explanation:
Given
[tex]xy = 6[/tex]
Required
Get polar equivalent
Polar coordinate [tex](r, \theta)[/tex] and rectangular coordinate [tex](x,y)[/tex] are related in such a way that:
[tex]x = rcos\theta[/tex] and [tex]y = rsin\theta[/tex]
So, substitute [tex]x = rcos\theta[/tex] and [tex]y = rsin\theta[/tex] in [tex]xy = 6[/tex]
[tex]rcos\theta * rsin\theta = 6[/tex]
This can be rewritten as:
[tex]r * cos\theta * r * sin\theta = 6[/tex]
Reorder
[tex]r * r * cos\theta * sin\theta = 6[/tex]
[tex]r^2 * cos\theta * sin\theta = 6[/tex]
Multiply both sides by 2
[tex]2 * r^2 * cos\theta * sin\theta = 6 * 2[/tex]
[tex]2 * r^2 * cos\theta * sin\theta = 12[/tex]
Reorder
[tex]r^2 * 2 * cos\theta * sin\theta = 12[/tex]
[tex]r^2 * 2cos\theta sin\theta = 12[/tex]
In trigonometry:
[tex]sin2\theta = 2sin\theta cos\theta = 2cos\theta sin\theta[/tex]
So, the expression becomes
[tex]r^2 * sin2\theta = 12[/tex]
[tex]r^2 sin2\theta = 12[/tex]
Hence, the equivalent of [tex]xy = 6[/tex] is [tex]r^2 sin2\theta = 12[/tex]
25 miles/hour =_meters/minute
Jared tiene 8 dibujos. Le
regaló algunos a Wendy.
Jared ahora tiene
O dibujos. ¿Cuántos
dibujos le regaló
Jared a Wendy?
Answer
8.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
PLEASE HELP!!!! 50 POINTS!!!
Find the solution(s) of the following equation.
x^2 = 100/361
Choose all answers that apply:
a) x = -10/9
b) x = -1/6
c) x = 5/18
d) x = 5/9
e) none of the above
Answer:i think its b im not sure tho
Step-by-step explanation:
Answer: The answer is A) x= -10/19
A coin is tossed and number 1-8 is chosen at random. What is the probability of getting tails and a number greater than 3.
Answer:
5 in 8
Step-by-step explanation:
there is a 5 in 8 chance to get a number greater then 3
Solve the equation -11<-x+2<3
Answer:
13 > x > -1
Step-by-step explanation:
-11 < -x + 2 < 3
~Subtract 2 both sides
-13 < -x < 1
~Divide -1 to both sides
13 > x > -1
Best of Luck!
(-4)x(4+4-(6-(-10)) ?
Answer:
28
Step-by-step explanation:
what is 69 divided by 9
Answer:
7.6 repeating or if you want the whole answer its 7.66666666667
Step-by-step explanation:
remember its always best to plug in your equation in the calculator after you answered the equation just to see if your answer is correct.
hope this helps :D
Answer:
its still 69 HA im joking its 7.66666666666
Which function has a range of (-pi/2,pi/2)?
y = Cos-1x
y = Tan-1x
y = Sec-1x
y = Csc-1x
Answer:
b) y=tan^-1(x)
Step-by-step explanation:
edge 2020
Complete the square to form a true equation
X^2+4x+?=(x+?)^2
Read the sentences Taxi drivers themselves have to know nearly every street in the city. Paul drove himself around several neighborhoods to learn where the streets are since he wants to become a taxi driver.
Which choice correctly identifies two pronouns from the sentences?
himself (intensive), he (reflexive)
themselves intensive), himself (reflexive)
themselves (reflexive), himself (intensive)
himself (reflexive), he (intensive)
Answer:
Themselves(intensive) himself(reflexive)
Step-by-step explanation:
x^2+y^2+z^2=10
x+y+z=4
y-xz=3
what is the Solutions?
Answer:
.
Step-by-step explanation:
What is the slope of the line going through the points (2,5) and (-4,-1)?
write the slope-intercept form of the equation of each line. (DONT do number 26 )
Answer:
25) -4, -1
Equation: -4x-1
27) 4, 4
Equation: 4x+4
29) 5/2,0
Equation: 5/2x
Step-by-step explanation:
Y=mx+b
What is the unit rate $2.39 for 48oz to nearest tenth
Answer:
$0.05 per oz.
Step-by-step explanation:
2.39/48=0.049...... which is 0.05 to the nearest tenth. Money is never the unit rate so that is why you divide money by the measurement, in this case, ounces.
The prime factorization of each number is given. List all the factors of each number in prime factorization form.
Example: 110=2∙5∙11. Factors of 110:1, 2, 5, 11, 2∙5, 2∙11, 5·11, 2∙5∙11.
1001=7∙11∙13
Answer:
1, 7, 11, 13, 7∙11, 7∙13, 11∙13, 7∙11∙13Step-by-step explanation:
Given
1101 = 7∙11∙13Factors of 1101:
1, 7, 11, 13, 7∙11, 7∙13, 11∙13, 7∙11∙13A volleyball team drank 7.5 liters of water during their mat9. How many milliliters of water did the volleyball team drink?
Answer:
7500 milliliters
Step-by-step explanation:
7.5*1000
A farmer harvested 35 acres of corn and 20 acres of beans. Animals ate 18
of the corn he originally planted. How many acres of corn did the farmer plant?
A construction company can remove
1/3 metric tons of dirt from a construction site in 1/6
hours.
What is the unit rate in metric tons per hour?
Answer:
sorry not having idea about ans
Answer:
A construction company can remove
1/3 metric tons of dirt from a construction site in 1/6
hours.
What is the unit rate in metric tons per hour?
Me too
what is a square of side 8cm
Answer:
32cm^2
Step-by-step explanation:
8 x 4 = 32
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Ronda graphs a point B in Quadrant | on the coordinate plane, so that the point B is 1 1/2 units away from point A. What are the coordinates of point B?
Answer:
It's (1/2 , 1/2)
Step-by-step explanation:
The required coordinate of point B is given as (x + 1 1/2) and (y + 1 1/2).
Given that,
Ronda graphs point B in Quadrant | on the coordinate plane so that point B is 1 1/2 units away from point A.
Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
Let the coordinate of the point A be (x, y)
According to the given condition,
Coordinate of the B is given as,
B = [x + 1 1/2] , [y + 1 1 /2]
Thus, the required coordinate of point B is given as (x + 1 1/2) and (y + 1 1/2).
Learn more about coordinate here:
brainly.com/question/13498438
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