Suppose you are a civil engineer, specializing in traffic volume control for the City of Grand Rapids. Your department has been receiving a multitude of complaints about traffic wait times for a certain intersection in the heart of downtown. To see if these claims are valid, you want to monitor the true average wait time at that intersection. Over the course of a few months, you record the average number of minutes a car waits at the intersection between 4:00 PM and 5:00 PM. With a sample size of 14 cars, the average wait time is 6.313 minutes with a standard deviation of 1.6509 minutes. Construct a 90% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM. 1) (4.542, 8.084).2) (5.536, 7.09). 3) (-5.532, 7.094).4) (5.532, 7.094).5) (5.872, 6.754).
Answer:
90% Confidence Interval = (5.532, 7.094)
Step-by-step explanation:
With a sample size of 14 cars, the average wait time is 6.313 minutes with a standard deviation of 1.6509 minutes. Construct a 90% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM. 1) (4.542, 8.084).2) (5.536, 7.09). 3) (-5.532, 7.094).4) (5.532, 7.094).5) (5.872, 6.754).
We are given the sample size = 14 cars
This sample size is small so instead of using z score , we would use the t score critical value
First we need to calculate our degree of freedom
Degrees of freedom = n - 1
= 14 - 1 = 13
The t score for 90% confidence interval with a degree of freedom of 13 =
= 1.771
Hence, Confidence Interval =
Mean ± t score × standard deviation/√n
= 6.313 ± 1.771 × 1.6509/√14
= 6.313 ± 1.771 × 0.4412215843
= 6.313 ± 0.7814034257
Confidence Interval
= 6.313 - 0.7814034257
= 5.5315965743
≈ 5.532
= 6.313 + 0.7814034257
= 7.0944034257
≈ 7.094
90% Confidence Interval = (5.532, 7.094)
What is the value of s?
s = __°
Answer:
50 what
Step-by-step explanation:
Grandma made an apple pie. Josh and his brother Joe finished 4/5 of it. Then, three friends came over and shared the leftover pie. How much of the pie did each friend eat?
Answer:
each freind would get 1/15 of the pie
Step-by-step explanation:
1/5 divide by 3 equals 1/15
Given: BC = DA, LCBD = ZADB
Prove: ABCD = ADAB
Statements
Reasons
I need help:(
-5x=-6
what is the value of x?
Answer: x=6/5
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
Sharise Brody folds and glues corrugated cardboard boxes at the rate of $0.57 per box. If she averages 40 boxes per hourhow much is her average hourly pay?
Answer:
she makes $22.80 a day
Step-by-step explanation:
since she makes $0.57 per box and averages at 40 boxes a day, we multiply 40 and 0.57. 40 x 0.57 = 22.8, or $22.80.
hope this helped!
If y=30 when x=6 what is the value of y when x=12
Answer:
60
Step-by-step explanation:
tge question wasn't really clear btw
Answer:
60
Step-by-step explanation:
it doubled the x so double y
There are 80 questions on a test. 1/4 of the answers are the letter A, 20% of the answers are letter B, 28 answers are the letter C, How many answers are the letter D?
18
28
20
16
Answer:
16
Step-by-step explanation:
1/4 is 20
20per is 16
20+16+28 is 64 minus 80 is 16
Which set of data is most accurately represented by a logarithmic model?
What is growth mindset? Describe growth mindset.
What is growth mindset examples?
What is the meaning of growth mindset?
How growth mindset can lead to success?
Answer:
Growth Mindset: “In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment. In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment,” Dweck wrote.
Step-by-step explanation:
What is a number that when you multiply it by 4 and subtract 7 from the product, you get 25?
Answer:
8 times 4= 32-7=25
Step-by-step explanation:
The unknown number from the equation is 8.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a number that when you multiply it by 4 and subtract 7 from the product, you get 25.
Let the unknown number be x.
Now, 4x-7=25
4x=32
x=8
Therefore, the unknown number is 8.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Out of a group of 100 people surveyed,
63 have a car,
27 have a bike,
12 have a skateboard,
20 have a car and a bike,
8 have a car and a skateboard,
9 have a bike and a skateboard, and
5 have a car, a bike, and a skateboard.
How many people in the survey do not own a car, a bike, or a skateboard?
A. 27
B. 28
C. 29
D. 30
E. 32
Answer: D. 30
Step-by-step explanation:
Given that:
63 have a car,
27 have a bike,
12 have a skateboard,
20 have a car and a bike,
8 have a car and a skateboard,
9 have a bike and a skateboard, and
5 have a car, a bike, and a skateboard.
Car and bike only :(20 - 5) = 15
Car and skateboard only = (8 - 5) = 3
Car only = 63 - (15 + 3 + 5) = 40
Bike and skateboard only = (9 - 5) = 4
Bike only = 27 - (15 + 5 + 4) = 3
Skateboard only = 12 - (3 + 5 + 4) = 0
Number of people in the survey do not own a car, a bike, or a skateboard: = x
(40+0+3+15+3+5+4+x) = 100
70 + x = 100
x = 100 - 70
x = 30
plz help i will give u $10000
When the function f(x) is divided by 2x 1, the quotient is x2 93 3 and the
remainder is –9. Find the function f(x) and write the result in standard form.
Answer:
my cash app is Joy95H Suppose we wish to find the zeros of f(x) = x
3 + 4x
2 − 5x − 14. Setting f(x) = 0 results in the
polynomial equation x
3 + 4x
2 − 5x − 14 = 0. Despite all of the factoring techniques we learned1
in Intermediate Algebra, this equation foils2 us at every turn. If we graph f using the graphing
calculator, we get
The graph suggests that the function has three zeros, one of which is x = 2. It’s easy to show
that f(2) = 0, but the other two zeros seem to be less friendly. Even though we could use the
‘Zero’ command to find decimal approximations for these, we seek a method to find the remaining
zeros exactly. Based on our experience, if x = 2 is a zero, it seems that there should be a factor
of (x − 2) lurking around in the factorization of f(x). In other words, we should expect that
x
3 + 4x
2 − 5x − 14 = (x − 2) q(x), where q(x) is some other polynomial. How could we find such
a q(x), if it even exists? The answer comes from our old friend, polynomial division. Dividing
x
3 + 4x
2 − 5x − 14 by x − 2 gives
x
2 + 6x + 7
x−2 x
3 + 4x
2 − 5x − 14
−
x
3 −2x
2
6x
2 − 5x
−
6x
2 −12x)
7x − 14
− (7x −14)
0
As you may recall, this means x
3 + 4x
2 − 5x − 14 = (x − 2)
x
2 + 6x + 7
, so to find the zeros of f,
we now solve (x − 2)
x
2 + 6x + 7
= 0. We get x − 2 = 0 (which gives us our known zero, x = 2)
as well as x
2 + 6x + 7 = 0. The latter doesn’t factor nicely, so we apply the Quadratic Formula to
get x = −3 ±
√
2. The point of this section is to generalize the technique applied here. First up is
a friendly reminder of what we can expect when we divide polynomia
Step-by-step explanation:
how many digits are there in 5¹⁰.4⁴.6³?
Answer:
90000000000 (11 digits)
Step-by-step explanation:
9216 x 5 to the 10th power
PLEAD HELP ME FAST!!!!
Answer:
i can't really see to clear ..
Step-by-step explanation:
Hii Answer this please :)))((((
Answer:
C: 4cm, 8cm, 8cm
Step-by-step explanation:
The isosceles triangles have two sides that are the same.
hope this helped
bye
Answer:
C: 4cm, 8cm, 8cm
Step-by-step explanation:
bc i know it i think this the answer
What is (4-5y) - (2y-16)
Answer:
4 - 5y - 2y + 16
like terms
20 - 7y
Answer:
4-5y)-(2y-16)=0
Step-by-step explanation:We add all the numbers together, and all the variables
(-5y+4)-(2y-16)=0
We get rid of parentheses
-5y-2y+4+16=0
We add all the numbers together, and all the variables
-7y+20=0
We move all terms containing y to the left, all other terms to the right
-7y=-20
y=-20/-7
y=2+6/7
Write the list of numbers in order from smallest to largest.
0.551, 0.554 , 5/6
[tex]\frac{m}{y}=gh\\solve for m[/tex]
write the equation of the function if its rate of change is -14 and its intial value is 14
Answer:
[tex]f(x) = -14x + 14[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Value = 14[/tex]
[tex]Rate = -14[/tex]
Required:
Write as a function
Let x be the quantity that changes:
A function is of the form:
[tex]f(x) = mx + b[/tex]
Where
m = slope or rate
b = y intercept or initial value.
So, we can say that:
[tex]m = -14[/tex]
[tex]b = 14[/tex]
Substitute values for b and m in [tex]f(x) = mx + b[/tex]
[tex]f(x) = -14x + 14[/tex]
Triangle ABC has vertices of A(-6, 7), B(4, -1), and C(-2, -9). Find the length of the median from
A. 4
B. Square Root of 18
C. 8
D. Square Root of 68
Answer:
A
Step-by-step explanation:
Identify the equation in slope-intercept form for the line with the given slope that contains the given point.
Slope =3/4; (2,2)
(IM GIVING EXTRA POINTS AND BRAINLIEST TO WHO EVER HELPS ME! ;D)
Which of the following gives the most complete and accurate description of the
friction in the image?
A) The rough texture of the ground creates a small amount of friction.
B) The smooth texture of the ground creates a greater amount of friction.
C) The push of the suitcases causes friction between the wheels and the ground.
D) There is friction between the suitcases and the ground and between the feet and the ground.
(Here is the image) :
Answer:
I think D
Step-by-step explanation:
The ground looks pretty smooth to me, plus D has more info
Also, is that math?
Because it doesn't look like math.
Answer:
D
Step-by-step explanation:
all the others don't make sense
I'll take my brainlets
Which of the following could represent the unit side lengths of a right triangle
A 5,8,10
B 3,5,7
C 6,11,13
D 12,16,20
Answer:
Choice D
Step-by-step explanation:
If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².
Answer:
Answer: D 12,16,20
Step-by-step explanation:
The Pythagora's Theorem
On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:
[tex]a^2+b^2=c^2[/tex]
The set {a,b,c} is often called a Pythagorean Triple.
Testing every option:
A
[tex]5^2+8^2=10^2[/tex]
[tex]25+64 = 100[/tex]
89 = 100
Since equality is false, 5,8,10 are not the side lengths of a right triangle.
B
[tex]3^2+5^2=7^2[/tex]
[tex]9+25 = 49[/tex]
34 = 49
Since equality is false, 3,5,7 are not the side lengths of a right triangle.
C
[tex]6^2+11^2=13^2[/tex]
[tex]36+121 = 169[/tex]
157 = 169
Since equality is false, 6,11,13 are not the side lengths of a right triangle.
D
[tex]12^2+16^2=20^2[/tex]
[tex]144+256 = 400[/tex]
400 = 400
Since equality is true, 12,16,20 could be the side lengths of a right triangle.
Answer: D 12,16,20
Matt has started a car washing business to save money for college. Each week, he
washes 3 more cars than he did the week before.
Answer:
Since this equation is not complete, I will just give an example.
Step-by-step explanation:
Lets say Matt starts out with 6 cars in week one. For the next week, just add the number 3 to the preexisting number (6), which will give you 9. Now, lets say he washes cars for 10 weeks to save money. All you would have to do is add a 3 each time to the preexisting number. So, it would go 6, 9, 12, 15, 18, 21, 24, 27 30, 33. The answer to the equation I created above is 33. I hope this helps you solve your question.
Select the correct answer.
Brianna created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Brianna drew?
The equation of the line of best fit that Brianna drew is: c. y = 2x + 5
Recall:
Line of best of fit of the line shown in the scatter plot can be found by finding the slope (m) and the y-intercept (b) of the line then substituting each value into y = mx + b.Thus:
Slope of a line (m) = change in y/change in x
From the scatter plot given,Change in y = 2 units
Change in x = 1 unit
Slope = 2/1 = 2
The y-intercept is the point where the line of best fit intercepts the y-axis which is at y = 5.
y-intercept (b) = 5
Substitute b = 5 and m = 2 into y = mx + b
y = 2x + 5
Therefore, the equation of the line of best fit that Brianna drew is: c. y = 2x + 5Learn more about line of best fit on:
https://brainly.com/question/17143626
Answer:
c ..)
Step-by-step explanation:
Who ever gets this question right is BRAINLIEST. Answer For 15 Points
Answer:
ITS C:D pls give brainliest
Step-by-step explanation:
add all it equals C, 16.25
What is the coefficient of a3 after simplifying this expression? 2a3−10ab2+3a3−ab2−7
Answer:
5Step-by-step explanation:
Given the expression
2a^3−10ab^2+3a^3−ab^2−7
We are to find the coefficient of a^3
First is to collect the like terms;
2a^3−10ab^2+3a^3−ab^2−7
= 2a^3+3a^3−10ab^2−ab^2−7
= 5a^3-11ab^2-7
From the resulting equation, you can see that the coefficient of the term having a^3 is 5
Answer:
5
Step-by-step explanation:
i took the quiz trust me
ANSWER ASAP!
What is the result when the number 30 is decreased by 20%?
Step-by-step explanation:
it would be 24.........
Please help!!!!
(Show work if possible)