Answer:
a) At least what percentage of cars is traveling between 40 and 80 mph?
75%
b) At least what percentage of cars is traveling between 20 and 100 mph?
93.75%
c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.
30 cars.
Step-by-step explanation:
We apply Chebyshev's Theorem
This states that:
1) At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
2) At least 8/9 (88.89%) of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
3) At least 15/16 (93.75%) of data falls within 4 standard deviations from the mean - between μ - 4σ and μ + 4σ.
From the question, we have:
Mean of 60 mph
Standard deviation of 10 mph.
a) At least what percentage of cars is traveling between 40 and 80 mph?
Applying:
Applying the first rule: At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
μ – 2σ
60 - 2(10)
60 - 20
= 40 mph
μ + 2σ.
60 + 2(10)
60 + 20
= 80 mph
Hence, at least 75% of cars is traveling between 40 and 80 mph.
b) At least what percentage of cars is traveling between 20 and 100 mph?
At least 15/6 (93.75%) of data falls within 4 standard deviations from the mean - between μ – 4σ and μ + 4σ.
μ – 4σ
60 - 4(10)
60 - 40
= 20 mph
μ + 4σ.
60 + 4(10)
60 + 40
= 100 mph
Hence, at least 93.75% of cars is traveling between 40 and 80 mph.
c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.
Since we know from question a) that
at least 75% of cars is traveling between 40 and 80 mph.
Given a sample of 40 cars:
75% of 40 cars
= 75/100 × 40
= 30 cars.
The number of cars that are traveling between 40 and 80 mph is 30 cars.
6th grade math i mark as brainliest
Answer:
A and D
Step-by-step explanation:
-14 is less than -8 because is further away from 0
a. Suppose a BMW dealer in Fullerton, CA is trying to calculate the probability of his car sale for next week. The dealer knows that the sale of car is normally distributed with mean 50 and variance 9. The variance 9 was calculated from the weekly car sale data of 20 weeks, as the population variance is not known to the dealer. What is the probability that the dealer will sell 51 or more cars next week? (Hint: use t distribution) (15)
Answer:
0.45576
Step-by-step explanation:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Standard Deviation = √variance
Mean = 50
= √9
= 3
z = 51 - 50/3
= 0.11111
Probability value from Z-Table:
P(x<51) = 0.54424
P(x>51) = 1 - P(x<51)
= 1 - 0.54424
= 0.45576
The probability that the dealer will sell 51 or more cars is 0.45576
which equation could be used to solve for the Value of n +2 =6
Answer:
i think that it is an algebraic equation
Step-by-step explanation:
You can use 6-2=4. (N would equal 4.)
38% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
2)If a $100 deposit is made at a bank that pays 12% per year, compounded annually, determine how long it will take for the investment to reach $2000.
Answer:
It will take 26.4 years for investment to reach $2000
Step-by-step explanation:
2000=100(1+.12)^x
20=1.12^x
㏒_{20} 1.12=x
log 1.12/ log 20=x
x= 26.434
The number of years that should be taken for reaching $2,000 is 26.40 years.
Given that,
The deposit made at the bank is $100.The interest rate per year is 12%.And, the reaching amount is $2,000.Based on the above information, the calculation is as follows:
[tex]2000=100(1+.12)^x\\\\20 = 1.12^x[/tex]
Now apply log to both sides
[tex]\frac{log1.12}{log20} = x[/tex]
x = 26.4 years
Therefore we can conclude that the number of years that should be taken for reaching $2,000 is 26.40 years.
Learn more: brainly.com/question/13324776
PLEASE HELP ASAP!!!!! Use deductive reasoning to form a "Therefore" concluding statement from the given statements below:
All members of the softball team attended the awards banquet.
Alex is a member of the softball team.
Answer:
b
Step-by-step explanation:
anybody know ???????????
Answer:
1. constant: 2
2. you can use slope intercept
3. 4 pounds equal 40 cents
4. because it is linear
Step-by-step explanation:
I'm confused
What is the answer?
If c > 0, then f(x - c) is a shift of f(x) by c units to the right, and f(x + c) is a shift by c units to the left.
If d > 0, then f(x) - d is a shift by d units downward, and f(x) + d is a shift by d units upward.
Let g(x) = x. Then f(x) = g(x + a) - b = (x + a) - b. So to get g(x), we translate f(x) to the left by a units, and down by b units.
Note that we can also interpret the translation as
• a shift upward of a - b units, since
(x + a) - b = x + (a - b)
• a shift b units to the right and a units upward, since
(x + a) - b = x + (a - b) = x + (- b + a) = (x - b) + a.
If the point (7, 3) is on the graph of an equation, which statement must be true?
A. There are solutions to the equation for the values X= 7 and x= 3.
B. The values x= 3 and y= 7 make the equation true.
C. The values x= 7 and y= 3 are the only values that make the equation true.
D. The values x= 7 and y= 3 make the equation true.
Answer:
D
Step-by-step explanation:
A graph of an equation is the set of all points that make an equation true. X = 7, and Y = 3 are on that graph, so they are values that make the equation true.
Answer:
D
Step-by-step explanation:
A number is 4 more than 2 times another number. If their sum is 52 then find the
value of each number.
I
Answer:
16 and 36
Step-by-step explanation:
x + (2x+4) = 52
3x+4=52
3x=48
x=16
Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. Which expression determines the quantity of water leaving the tank per hour?
Answer:
D. 37/2 divided by 17/4
Step-by-step explanation:
Answer:
D) 37/2 / 17/4
Step-by-step explanation:
Change 18 1/2 and 4 1/4 into improper fractions.
18 1/2 = 37/2
4 1/4 = 17/4
So the answer is 37/2 / 17/4.
Please correct me if I am wrong, have a great day! :)
11.
Look at the graph.
Which describes an interval where the function is increasing?
A -00< X <-4
B-2 < x < 0
C -4 < x < 0
D5< x < 00
Answer:
i hiiiiiiiiii
Step-by-step explanation:
can i have brainlest answer
Question
A line with a positive slope Is parallel to one of the lines shown. What is its slope? Use the graph shown
below.
The slope is
Answer:
¼
Step-by-step explanation:
The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.
Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.
The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.
The red line has a negative slope. It slants down from left to right.
Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} [/tex]
[tex] slope(m) = \frac{1}{4} [/tex]
The slope of the line that is parallel to the blue line is ¼.
Youve been hacked by hidden06 OwO
Answer:
0w0
Step-by-step explanation:
b - 7/4= -2/3
solve for b
b is equal to 13/12
move -7/4 over then add the fractions there you go
Some one please help it’s subtracting fractions
Convert any mixed numbers to fractions.
Then you get your initial equation
Applying the fractions formula for subtraction
Simplifying 72/16, the answer is
4 1/2
You just got off the Haunted Mansion ride and the next ride you want to go
on is Splash Mountain. You have a fast pass that requires you to arrive at
Splash Mountain in 7 3⁄4 minutes. Splash Mountain is 1 3/5 miles away. You are able to cover 2/7 of a mile every minute. Can you make it to Splash Mountain?
Answer:
You can make it to Splash Mountain
Step-by-step explanation:
From the question,
The distance you need to cover to Splash Mountain is 1 3/5 miles, and the time you have to arrive there is in 7 3/4 minutes.
Also, from the question,
You are able to cover 2/7 of a mile every minute, that is
Your speed is 2/7 mile per minute
To determine if you can make it to Splash Mountain, we will determine the distance you can cover, traveling at this speed of 2/7 mile per minute for 7 3/4 minutes. If the distance you can cover is more than 1 3/5 miles, then you can make it; but if the distance you can cover is less than 1 3/5 miles, then you cannot make it.
From
Speed = Distance / Time
Distance = Speed × Time
Speed = 2/7 mile/minute
Time = 7 3/4 minutes = 31/4 minutes
∴Distance = 2/7 × 31/4
Distance = 31/14 miles = 2 3/14 miles
The distance you can cover traveling 2/7 of a mile every minute for 7 3/4 minutes is 2 3/14 miles, since this is more than 1 3/5 miles, then you can make it to Splash Mountain.
Hence, you can make it to Splash Mountain.
Scientists want to estimate the mean weight of mice after they have been fed a
special diet. From previous studies, it is known that the weight is normally
distributed with standard deviation 4 grams. How many mice must be weighed so
that a 95% confidence interval will have margin of error of 0.4 grams?
Write only an integer as your answer.
Answer:
n = 484
Step-by-step explanation:
If Confidence Interval CI = 95 % then α = 5% and α/2 = 2,5 %
α/2 = 0,0125
MOE for normal distribution is:
MOE = z * σ/√n
For α/2 = 0,0125 ⇒ z(score) = -2,2
MOE = |-2,2| * 4/√n
0,4*√n = 8,8
√n = 8,8 / 0,4
√n = 22
n = 484
Simplify (4.5)(5)(−2).
Group of answer choices
45
4.5
−4.5
−45
Answer: -45
Steps: 4.5 × 5 × -2 = -45
Plz mark brainliest:)
FIND THE UNIT RATE OF EACH SCENARIO.
TYPE YOUR ANSWER IN THE TEXT BOX BELOW.
0
2
Daxton is paid $48 in 6
hours. How much IS Daxton
Palld per hour?
Allison types 900 words in 20
Minutes. How many words
can she type per minutter
3
4
A Printing company can
print 15,000 flyers in 10
minutes. How many flyers
can be printed per minutes
Jeff traveled 300 miles and
Used 12 gallons Of gas. HOW
many mlies did he travel per
gaion Of gas?
175 miles at a speed of 25 miles per hour?
Answer:
That would take you 7 hours to get to your location.
what is the rectangular prism of 2 units and 7 1/3
Answer:
it could be 14 2/6 units squared
Step-by-step explanation:
idkI don’t know but for area is units squared and for volume it has units cubed
Subtract: (8x + 7) - (4x + 5) *
O4x + 12
O 44-12
O4x + 2
O 44-2
Answer:
4X+2
Step-by-step explanation:
Since there is a negative in front of (4X+5), this will change the signs of both 4x and +5 to (-4X) and (-5) respectively.
This will make the equation look like as follows:-
8X +7 - 4X- 5
Thus on solving we get:-
8X- 4X +7 - 5
= 4X +2
A triangle abc has angle measures of 45,45 and 90 and two congruent (equal sides. How would this triangle be classified ?
An isosceles triangle is one with two equal-length sides. ΔABC is an isosceles right angled triangle.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally. While the other two angles of the triangle measure 45°.
Hence, ΔABC is an isosceles right angled triangle.
Learn more about Isosceles Right Angled Triangle here:
https://brainly.com/question/27190025
#SPJ2
How can I solve this ?
Answer:
985.25
Step-by-step explanation:
An easy way to divide by larger numbers is to see if the divisor fits into the thousands, hundreds, tens, and ones place.
8 doesn't go into 7, so you'd bring down the number in the hundreds place and so on and so forth.
Answer:
you start by seeing how many times 8 goes into (7) which is zero Then you add the (8).
how many times does 8 go into 78 = 9 with 6 left over.
you bring the 6 down and the next 8 giving you (68) = 8 with 4 left over
so you bring the 4 and the two down giving you (42) = 5 with 2 left over.
so your answer is 985 remainder 2
Step-by-step explanation:
GRAHAM CORPORATION
Samantha invested in the Graham Corporation. Samantha bought n number of
shares for d dollars and paid a 2% commission to her broker. She later sold the
stock for s dollars and paid a flat fee of $11. A friend of Samantha's, Alex, also
decided to invest in the Graham Corporation. He purchased x dollars worth of
stock on his broker's advice and paid his broker a 1% broker fee.
Part A
Write an expression to model Samantha's net proceeds algebraically. Explain how
you determined the expression.
Answer:
Net proceed= s-0.98nd-11Step-by-step explanation:
Given that the shares cost $d
n shares will be =$dn
paid 2% commission to her broker= (2/100)*nd= 0.02nd
sold the share for $s
paid a fee of $11
Her net proceeds algebraically will be
Net proceed= s-nd-11-0.02nd
collect like terms
Net proceed= s-(nd-0.02nd)-11
Net proceed= s-0.98nd-11
A new Youth activity center is being built in Hadleyville . The perimeter of the rectangular playing field is 262 yards. The length of the field is 4 yards less than double the width. What are the dimensions of the playing field?
Answer:
irdk
Step-by-step explanation:
Tracy wants to buy some pies for her sisters and she has a budget of $82 to spend on $5
apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants to buy 16 pies for her
sisters and must buy as many chocolate pies as apple pies and banana pies combined.
How many of each item should she buy?
Answer:
5 of each item is how much she should buy
Step-by-step explanation:
The sum of two numbers is 64 and the difference is 6. What are the numbers?
Larger number:
Smaller number:
x
?
Check
© 20
o
a
Tyne here to search
Answer:
29 and 35
Step-by-step explanation:
x+y=64
x-y=6
Solve by substitution.
x=6+y
6+y+y=64
6+2y=64
y=29
Then plug in 29 for y.
x+29=64 ......35
The two numbers that have a sum of 64 and a difference of 6 will be 29 and 35.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of the two numbers is 64 and the difference is 6.
Let the two numbers be 'x' and 'y', and y is greater than x. Then the equations are given as,
x + y = 64 ...1
y - x = 6 ...2
Add both equations, then we have
y + y = 64 + 6
2y = 70
y = 35
Then the value of 'x' will be given as,
x + 35 = 64
x = 29
The two numbers that have a sum of 64 and a difference of 6 will be 29 and 35.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Can you help me please