Answer:
Then you will use 2/2
Step-by-step explanation:
15.
(01.03 LC)
What is 0.453 rounded to the nearest tenth?
0.5
0.45
0.44
0.4
Rural Speed Limits Rural speed limits for all 50 states are indicated below. 60 mph 65 mph 70 mph 75 mph 1 (HI) 18 18 13 Choose one state at random. Find the probability that its speed limit is a. 60 or 70 miles per hour b. Greater than 65 miles per hour c. 70 miles per hour or less
Answer:
[tex]P(60mph\ or\ 70mph) = 0.38[/tex]
[tex]P(x>65mph) = 0.62[/tex]
[tex]P(x \le 70mph) = 0.74[/tex]
Step-by-step explanation:
Given
Speed Limits --- States
60 mph ---------- 1
65 mph ----------- 18
70 mph ----------- 18
75 mph ---------- 13
Total -------------- 50
Solving (a): Probability of 60mph or 70mph
This is represented as:
[tex]P(60mph\ or\ 70mph)[/tex]
We only consider states with speed limits of 60 and 70mph.
So, we have:
[tex]P(60mph\ or\ 70mph) = P(60mph) + P(70mph)[/tex]
[tex]P(60mph\ or\ 70mph) = \frac{1}{50} + \frac{18}{50}[/tex]
Take L.C.M
[tex]P(60mph\ or\ 70mph) = \frac{1+18}{50}[/tex]
[tex]P(60mph\ or\ 70mph) = \frac{19}{50}[/tex]
[tex]P(60mph\ or\ 70mph) = 0.38[/tex]
Solving (b): Greater than 65mph
This is represented as:
[tex]P(x>65mph)[/tex]
We only consider states with speed limits of 70 and 75mph.
So, we have:
[tex]P(x>65mph) = P(70mph) + P(75mph)[/tex]
This gives:
[tex]P(x>65mph) = \frac{18}{50} + \frac{13}{50}[/tex]
Take L.C.M
[tex]P(x>65mph) = \frac{18+13}{50}[/tex]
[tex]P(x>65mph) = \frac{31}{50}[/tex]
[tex]P(x>65mph) = 0.62[/tex]
Solving (c): 70mph or less
This is represented as:
[tex]P(x \le 70mph)[/tex]
We only consider states with speed limits of 60, 65 and 70mph.
So, we have:
[tex]P(x \le 70mph) = P(60mph) + P(65mph) + P(70mph)[/tex]
This gives:
[tex]P(x \le 70mph) = \frac{1}{50} + \frac{18}{50} + \frac{18}{50}[/tex]
Take L.C.M
[tex]P(x \le 70mph) = \frac{1+18+18}{50}[/tex]
[tex]P(x \le 70mph) = \frac{37}{50}[/tex]
[tex]P(x \le 70mph) = 0.74[/tex]
Solve this system of equations by
using the elimination method.
4x - 7y = 2
- 8x + 7y = -18
ILL MARK BRAINLIST , pls help n
Answer:
answer is b
Step-by-step explanation:
Jorge can travel 50 miles on his
motorized scooter using 1 gallon of gas.
How many miles can he travel using
8 gallons of gas?
Answer:
its c
Step-by-step explanation:
Answer:
400 miles
Step-by-step explanation:
50 miles.....1 gallon
x miles......8 gallons
50*8=400
Please help me with this question! <3
Which set of coordinate pairs does NOT represent a linear function?
A.(−4, −12), (−3, −10), (−2, −8), (−1, −6)
B.(−4, −17), (−3, −10), (−2, 5), (−1, 2)
C.(1, −7), (2, −10), (3, −13), (4, −16)
D.(1, 1), (2, 4), (3, 7), (4, 10)
Answer:
c
Step-by-step explanation:
rectangle will have length 3n+ 6 and height 2n−1 inches, while the square will have side length n+ 2inches. Find the perimeter and area of your creation. Give your answers in fully factored form and includeunits. As part of your solution, redraw the below picture labelling all the sides.
Answer:
Perimeter: 2(3x+6)+ 2(2x-4)
X=9
Step-by-step explanation:
In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:
Perimeter: 2(heights)+ 2(bases)
Perimeter: 2(3x+6)+ 2(2x-4)
IN order to solve for X we just have to insert the value of perimeter, which is 94:
Perimeter: 2(3x+6)+ 2(2x-4)
94=2(3x+6)+ 2(2x-4)
94= 6x+12+4x-8
94=10x+4
94-4=10x
x=90/10
x=9
So the value of x would be 9.
URGENT PLEASE HELP !!!!!!!!!!!!
Answer:
Answer is C Converse of the Base Angle Theorem
Step-by-step explanation:
And can I have brainliest PLZ
what is 30% of 180 show work
Answer:
30%=30/100=3/10
Step-by-step explanation:
3/10*180
Simplify 180 and 10.
3*18=54
4x + y = -24
y + 2x = -8
How would I solve by substitution step by step?
WILL GIVE BRAINLIEST!!!
Answer:
QR=11
Step-by-step explanation:
1. Mr. Rodriguez hired an electrician to update several electrical outlets in his home. The electrician
charges $80 plus $45 an hour or any fraction of an hour. Let x represent the number of hours that the
electrician works. The total cost, f(x), can be represented by the function f(x) = 80 + 45x .
(a) Complete the table below to determine how much Mr. Rodriguez will pay the electrician.
Cost of Hiring an Electrician
Number of Hours
Answer:
80+45x this is because I don't noo???????
What quadrant is (6, −7) in? Quadrant I Quadrant II Quadrant III Quadrant IV
Answer:
(6,-7) Would be in Quadrant IV
Step-by-step explanation:
Help pls :,)
Rosa made a mosaic wall mural using 40 black tiles, 33 blue tiles and 27 red tiles.
Enter a percent to represent the number of red tiles in the Mural.
The number of red tiles in the mural represents ??? %
Answer:
First you have to figure out the total.
42+35+23= 100
So plug it in.
23/100
23%
Your answer is 23%.
Hope this helped ^-^
Step-by-step explanation:
Ethan is watching a space shuttle launch from an observation spot 99 miles away. Find the angle of elevation from Ethan to the space shuttle, which is at a height of 0.70.7 miles.
Answer:
The angle of elevation from Ethan to the space shuttle is approximately 0.405º.
Step-by-step explanation:
Let O and A the locations observation spot and the space shuttle, respectively. BA is the height of the space shuttle from the ground. All length are measured in miles. We include a simplified geometrical representation of the situation.
Since a right triangle is formed, we can find the angle of elevation ([tex]\theta[/tex]), measured in sexagesimal degrees, by the following inverse trigonometrical relationship:
[tex]\theta = \tan^{-1}\left(\frac{BA}{OB} \right)[/tex] (1)
Where OB is the distance from the observation spot to the point just below the space shuttle.
If we know that [tex]OB = 99\,mi[/tex] and [tex]BA = 0.7\,mi[/tex], then angle of elevation from Ethan to the space shuttle is:
[tex]\theta = \tan^{-1}\left(\frac{0.7\,mi}{99\,mi} \right)[/tex]
[tex]\theta \approx 0.405^{\circ}[/tex]
The angle of elevation from Ethan to the space shuttle is approximately 0.405º.
Determine if the ratios are equivalent.
17:3 and 68:12
Answer:
They are equivalent
Step-by-step explanation:
We can do cross products for this one
17/3 = 68/12
17 times 12 = 68 times 3
204 = 204
What is the equation of the line that contains the point (-4.-12) and has
the slope of 3?
Answer:
y = 3x
Step-by-step explanation:
⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄
Answer:
y=3x
Step-by-step explanation:
if you plug the point, and the equation into Desmos, you can see it´s right!
6. If 2 different study subjects are randomly selected, find the probability that they both were sentenced to prison.
Answer:
the probability that they both were sentenced to prison is 0.1740
Step-by-step explanation:
The computation of the probability is given below;
P(sentenced) is
= (367 + 68) ÷ 1043
= 0.4171.
Now
P(2 persons senteced to prison) is
= 0.4171 × 0.4171
= 0.1740
hence, the probability that they both were sentenced to prison is 0.1740
The same is to be considered and relevant too
what goes into 27 and 48?
Answer:
Step-by-step explanation:
lets see
27=7*4=7*2*2
48=3*2*2*2*2
both numbers are divisible by 4
27/3=9, 48/3=16
Answer = 3
1/2 x 5/6 in fraction form
Answer:
5/12
Step-by-step explanation:
The required value in fraction form is 5/12
Expressing product in fraction formGiven the expression
1/2 x 5/6
We are to express in fraction form. To do this we will multiply the numerator and denominator together to have:
1/2 x 5/6
= (1 * 5)/(2 * 6)
= 5/12
Hence the required value in fraction form is 5/12
Learn more on fraction here: https://brainly.com/question/78672
Write an expression that it equivalent to 1/4x+1+3/4x-2/3-1/2x
Answer: =1/2x+1/3
Step-by-step explanation:
The equivalent expression is 1/2x+ 1/3.
What is Expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 more than half of it. In a mathematical expression, this statement is denoted by the expression x/2 + 6.
Given:
1/4x+1+3/4x-2/3-1/2x
Now, solving the above expression
1/4x+1+3/4x-2/3-1/2x
= 1/4x + 3/4x - 1/2x + 1 - 2/3
= 4/4x - 2/4x + 1/3
= 2/4x + 1/3
= 1/2x + 1/3
Hence, the equivalent expression is 1/2x+ 1/3.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
state the collision theory
Answer:
Collision theory, theory used to predict the rates of chemical reactions, particularly for gases. The collision theory is based on the assumption that for a reaction to occur it is necessary for the reacting species (atoms or molecules) to come together or collide with one another.
m= 12 and the y-intercept is (0, 11)
Answer:
y=12x+11
Step-by-step explanation:
using y=mx+b
m is the slope and b is the y intercept, using that you just plug in the numbers.
Find the product.
- y(2y 3 - 8)
look at image
Step-by-step explanation:
hope this helps
Annual starting salaries for college graduates is unknown. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. If the population standard deviation is $3,750 how large should the sample be if margin of error is $500
Answer:
A sample of 217 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
If the population standard deviation is $3,750 how large should the sample be if margin of error is $500
We have that [tex]\sigma = 3750[/tex].
We need a sample of n, and n is found when [tex]M = 500[/tex]. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96*\frac{3750}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3750[/tex]
[tex]\sqrt{n} = \frac{1.96*3750}{500}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96*3750}{500})^{2}[/tex]
[tex]n = 216.1[/tex]
Rounding up
A sample of 217 is needed.
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
What is the greatest possible whole-number length of the unknown side?
5 thousands muiltply 10 = what
Simplify: -3(n+3) - 10(8n + 9)
Answer:
-83n-99
Step-by-step explanation:
-3n-9-80n-90
-83n-99
what is the approximate volume of this cylinder
Answer:
where is the cylinder.....................
Answer:
Where is the cylinder??????
Step-by-step explanation:
what is a eqvilent fraction to 6/20
Answer:
310 is equivalent to 620 because 3 x 20 = 10 x 6 = 60. 930 is equivalent to 620 because 9 x 20 = 30 x 6 = 180. 1240 is equivalent to 620 because 12 x 20 = 40 x 6 = 240.
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
What's 6 divided by 20?
6/20 = 30