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]
Identify whether the variable in the information below is qualitative or quantitative. Government agencies carefully monitor water quality and its effect on wetlands (Reference: Environment Protection Agency Wetland Report EPA 832-R-93-005). Of particular concern is the concentration of nitrogen in water draining from fertilized lands. Too much nitrogen can kill fish and wildlife. Twenty-eight samples of water were taken at random from a lake. The nitrogen concentration (milligrams of nitrogen per liter of water) was determined for each sample.
Answer: quantitative
Step-by-step explanation:
Measured variables in statistics may be subdivided into quantitative or Qualitative variables depending on whether the variable in question is numeric or non-numeric. Variables which are designed to evaluate on the basis of Number or quantity may be termed as quantitative variables while those which measure attribute and are used for characterization are called Qualitative variables. In the scenario above, the variable is concerned with the determination of concentration of nitrogen draining into water bodies, concentration follows that numeric calculations be Made in other to determine the amount of nitrogen in milligram per Litre in a particular water body in other to prevent its effect on wildlife which could result from excessive concentration in water bodies.
Joey wants to buy the new play station 4. The play station 4 costs $300 and each game costs $60. If he has $700 to spend, what is the maximum number of video games he can buy?
solve the equation for r. 6(r+12)=48
Answer: -4
Step-by-step explanation:
Answer:
r= -4
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
</3 PureBeauty
Subtract 6-0.48
I need a fast answer for this or my bratty sister once again will show my parents that I snuck out
Look at the picture. Also UwU
Answer:
c
Step-by-step explanation:
Answer:
-0.5
Step-by-step explanation:
how do i show work for number 1 pls help
Answer:
The solution of given inequality satisfies the ( -2,-2) , (4 ,0) and (-2,0)
Step-by-step explanation:
Given inequality
x - 3y < 5
a) From the graph we will choose point x=-2 and y=-2
x - 3y < 5
-2 - 3(-2) < 5
-2 + 6 < 5
4 < 5
b) From the graph we will choose point x= 4 and y= 0
x - 3y < 5
4 - 0 < 5
4 < 5
c) From the graph we will choose point x= -2 and y= 0
x - 3y < 5
-2 - 0 < 5
-2 < 5
The solution of given inequality satisfies the ( -2,-2) , (4 ,0) and (-2,0)
Pls look at the picture answer correctly asap
Answer:
D
Step-by-step explanation:
i had the same question
Mr smith earns $75 a day plus $35 for each car he sells if e is the amount he earned and c is the number of cars he sold which expression below shows how much mr smith will earn in a day
Answer:
110
Step-by-step explanation:
So if add 75 + 35 you will get the number 110
Really hoped this helped
The expression Mr smith will earn in a day is e= 75 + 35c.
What is expression?
A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an equation, a coefficient is a number that is multiplied by a variable.Given:
Mr smith earns $75 a day plus $35 for each.
if e is the amount he earned,
and c is the number of cars he sold
So, the amount he earned
e= 75 + 35c
Hence, the expression is e= 75 + 35c.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Work out the area of the triangle :)
Show working out plz:)
3x+9=5x+21
What is x
Answer:
X = -6
1. 3x + 9 = 5x + 21
2. Subtract -5x from both sides
3x + 9 - 5x = 5x + 21 - 5x
3.-2x + 9 = 21
4. Subtract 9 from both sides
-2x + 9 - 9 = 21 - 9
5.-2x = 12
6. Divide both sides by -2
-2x/-2 = 12/-2
7. x= -6
Which is the graph of g(x) = (0.5)X + 3 – 4?
121
8-
4-
-12
-8
4
00
х
Answer:
slope is 1/2 and the y intercept is -1
Step-by-step explanation:
A carpenter is building two houses. The first house
6
2
is complete. The second house is complete.
9
How much more complete is the first house than the
é
second house? Simplify the answer if possible.
Answer:
you betta do ya best it might be 34
Step-by-step explanation:
Answer: the answer is 2/5
Step-by-step explanation: e
Easy math questions, I just don't have time, ASAP PLEASE
Imagine a cross-section of the prism formed by a plane that is perpendicular to the bases of the prism.
What must be true about the cross section?
Answer:
1. the cross section is a rectangle 2.the cross section is a trapezoid 3.the cross section is a rectangle 4.the cross section is a point
Step-by-step explanation:
Step-by-step explanation:
Cross section dimensions
One mile is approximately
kilometres
Answer:
1 mile ~ 1.60934 kilometers
Step-by-step explanation:
Hope this helps
Have a great day!
Solve for x. 3x + 8x = 44
Answer: x=4
Step-by-step explanation: 3x+8x= 11x. Divide 44 by 11 and it equals 4
please help thank youuuu
Simplify.
I need this answered ASAP pleaseee.
I believe the answer is 4.
Step-by-step explanation:
Hope this helps!
Which pair of triangles can be proven congruent by SAS?
2 identical triangles are shown. The triangle is reflected across a line to form the second triangle.
2 identical triangles are shown. The triangle is rotated 90 degrees to form the second triangle.
Answer:
Option 2.
Step-by-step explanation:
Got it right on edg. Hope this helps!
Now write 12% as a fraction in simplest
4 2/3÷(-1 1/4)
A. 7 20/21
B. 1/36
C. 2.57
PLEASE HELPPPPP LOLLLLLL
Answer:
-6 1/2
Step-by-step explanation: M A T H W A Y Calculator
i am truly sorryyyyy
Answer:
6
Step-by-step explanation:
15 Simplity 4r + Sx + Sr - 3r by collecting like terms.plizz
Answer:
a x^2+8x
b 12x-30x^2
-----------------------------------
a 3 ( 7 a + 8 b )
b 6 ( 2 a + 3 b )
------------------------------------
9 x ^2 + 2 x
---------------------------------
x=7/2 fraction
x=3.5 decimal
x=3 1/2 mixed number
ı hope ıt will help you
Step-by-step explanation:
The District Commissioner levies a fine of 200 bags of cowries for the crime, yet the messengers collect 250 bags from the villagers. Why
Answer:
Extra 50 bags were collected by the messengers.
Step-by-step explanation:
a) Number of bags of cowries levied as fine by the District Commissioner = 200 bags
Number of bags of cowries collected by the messengers = 250 bags
The difference or extra bags collected above the authorized fine = 50 (250 - 200)
b) The extra 50 bags could be bribes collected by the messengers to settle their own selfish interests. They could also represent extras freely donated by the villagers for the messengers' trouble. In the colonial days, when literacy levels were very low among the indigenous peoples of Africa and white men were in charge of governance, it was established that the black "middlemen," called interpreters or messengers, greatly exploited their own people through inflated and wrongful interpretations of fines, contrary to what was levied by the District Commissioners (DCs).
Base b contains b-1 symbols
A jazz concert brought in $119000 on the sale of tickets. If the tickets sold for and each, how many of each type of ticket were sold
Answer:
6850 & 650
Step-by-step explanation:
The question is partly incomplete as it didn't state the cost of ticket sold. Also, it didn't state the total number of tickets sold. But, assuming that the tickets sold were $15 and $25 tickets, and the total number of tickets sold was 7500, then we say that
Let x = the number of $15 tickets sold
Let y = the number of $25 tickets sold
x + y = 7500 y = 7500 - x
15x + 25y = 119000
15x + 25(7500-x) = 119000
15x + 187500 - 25x = 119000
-10x = -68500
x = 68500 / 10
x = 6850 tickets at $15 each
Remember from the first calculation, we said x + y = 7500, then
y = 7500 - 6850
y = 650 tickets at $25 each
All you have to do is substitute the values I assumed for your given value. Thanks
what is 1 whole 1/5 - 1/3
HELP PLS! :( whoever gets it right gets brainliest!!!
Andrea paid $60.75 for 9 sandwiches. Each sandwich costs the same amount.
Use the drop down menus to write an equation for the price, p, of one sandwich.
P x _______=____??
Answer:
Px9=60.75
Step-by-step explanation: