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)
Choose the point-slope form of the equation below that represents the line that
passes through the points (-6,4) and (2,0). (2 points)
Answer:
y - 4 = -0.5(x + 6)
Step-by-step explanation:
Answer:(4-,6)
Step-by-step explanation:hope this helps u i do my best to helps ever one
Consider the first four terms of the sequence below.
-3, -12,-48,-192, ...
What is the 8th term of this sequence?
A.) -42,152
B.) -768
C.) -12,288
D.) -196,608
Answer: -49,152
Step-by-step explanation
r =4 -192/-48, -48/12
8th term= -3*4^7 =-3*16384 =-49,152
The first four terms of the sequence below ; -3, -12,-48,-192, ...therefore, the 8th term of this sequence is -49,152.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
Thus, the nth term of such sequence would be [tex]T_n = ar^{n-1}[/tex](you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).
The first four terms of the sequence below.
-3, -12,-48,-192, ...
We need to find the 8th term of this sequence
r = 4 = -192/-48, -48/12
8th term = -3 x 4^7
= -3 x 16384
= -49,152
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Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?
Answer:
It is 150.
Step-by-step explanation:
This clarifies it https://artofproblemsolving.com/wiki/index.php/2020_AMC_8_Problems/Problem_23
The ratio of boys to girls in a homeroom at Twin Rivers Middle School is 3:2
If there are 12 boys, how many girls are there in the homeroom?
Answer:
There are 8 girls in the homeroom
2)
Last year Jose sold a painting for $2000. If he made 25% profit on the sale, how much had
he paid for the painting?
Answer:
1600 is the answer
Step-by-step explanation:
x + 0.25x= 1.25x =2000÷1.25 =1600
Solve (t-3)^2=6. The arrow is at a height of 48ft after approximately ____s and after ___s
Answer:
s - t = 3. s/3 + t/2 = 6
Step-by-step explanation:
Answer:
0.55 & 5.45
Step-by-step explanation:
EDGE VERIFIED
A plane is flying at 35,000 feet. it ascends 1,500 feet to avoid turbulence. it decends 3/5 of its new height to prepare for landing. what are the heights of the plane after it ascends and descends. (you need 2 answers)
Answer:Ascending Height : 36,500 feet Descending Height : 14,600 feet
Step-by-step explanation:
275964.618882 the nearest hundreth
275964.62 is to the nearest hundredth
Step-by-step explanation:
6. In his car, John can drive 75 miles on 5 gallons of gas. He drove
825 miles to visit his sister, how many gallons of gas did he use?
Answer: 55 Miles
Step-by-step explanation:
75x11=825
11x5=55
(GIVING BRAINLIEST!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK
6/15 + 3/10 + 3/5
Answer:
1 3/10
Step-by-step explanation:
Find the common denominator.
6/15 times 2
12/30
3/10 times 3
9/30
3/5 times 6
18/30
Add.
12/30 + 9/30 + 18/30 = 39/30
Simplify
13/10 = 1 3/10
A university president proposed that all students must take a course in ethics as a requirement for graduation. Three hundred faculty members and students were asked about their opinion on this issue. Find the probability that if one person is selected at random, from these 300 persons, this person is a faculty member or is in favor of this proposal.
You did not add the attachment for this question to be answered. I have added it
Answer:
0.5333
Step-by-step explanation:
We have
P(faculty) to be the probability of faculty being selected
= 70/300
= 0.233333333
We also have
P(favor) to be the probability of being in favor of this proposal
= 135/300
= 0.45
In answer to this question,
The required probability
= P(faculty) + p(favor) - p(faculty n favor)
p(faculty n favor) = 45/300
= 0.15
Probability = 0.233333333 + 0.45- 0.15
= 0.5333 approximately
What is an equation for the line that passes through the points (-2, 3) and (2, 1)
Explain how you know that two lines are perpendicular. Explain how you know that two lines are
parallel. Explain how you know that two lines are neither parallel or perpendicular. Give an example of a pair
of parallel lines and a pair of perpendicular lines.
Answer: Perpendicular lines intersect at right angles to one another. Parallel lines are lines that will go on and on forever without ever intersecting.
Step-by-step explanation:
What is 19,067 divided by 43
Answer:
443.418604651
Step-by-step explanation:
Thank you for the points!
b) A quadrilateral has no pairs of parallel sides.
What two shapes could it be?
Answer:
I need points
Step-by-step explanation:
None
Answer:
um maybe a trapezoid and a rhombus i think
Triangle ABC is an isosceles triangle. Angle A is the vertex angle. AB=8x-8 and AC=6x+9 find the length of one of the legs
Answer:
tge length is 14 make me brainliest
Step-by-step explanation:
I did it in a test and hit it correct
2. If f(x) = 2X^2 + 3X Find f(-5)
Answer:
35
Step-by-step explanation:
2(-5)^2+3(-5)
=2(25)+(-15)
=50-15
=35
PLS GIVE BRAINLIEST
Which phrases can be represented by the expression 60w?
The answer is 60 plz correct me
17 times the sum of a number, n, and 31 is 300. Write as an equation.
Answer:
17(n+31)=300
Step-by-step explanation:
17 times the sum of a number, n and 31 is 17(n+31)
and then set that equal to 300
Please help
Solve the equation sqrt(x + 3) + 4 = 5 for the variable. Show each step of your solution process. (10 points)
Answer:
x=-2
Step-by-step explanation:
sqrt(x+3)+4=5
sqrt(x+3)=1
x+3=1
x=-2
In the expression, the value of variable x is - 2.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ √(x + 3) + 4 = 5
Now, We can solve the expression for x as;
⇒ √(x + 3) + 4 = 5
Subtract 4 both side, we get;
⇒ √(x + 3) + 4 - 4 = 5 - 4
⇒ √(x + 3) = 1
Taking square both side,
⇒ (√(x + 3))² = 1²
⇒ x + 3 = 1
Subtract 3 both side,
⇒ x + 3 - 3 = 1 - 3
⇒ x = - 2
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Mr. Donald's age is 7 times of 1/5 of the total of students in this class plus 12 minus 1. Assuming this class has 25 students in total. What is Mr Donald age?
Answer:
46
Step-by-step explanation:
7×1/5×25+12-1
7×5+12-1
35+12-1
47-1
46
So the answer is 46
10 POINTS AND BRAINLIEST TO THE CORRECT ANSWER A restaurant has a group of seats at the counter and t individual tables, where each table has the same number of seats. If 3t + 15 represents the total number of seats in the restaurant, what does 3
represent?
O the number of seats at each table
O the number of seats at the counter
O the total number of customers in the restaurant
O the total number of tables in the restaurant
Answer:
I think A
Step-by-step explanation:
The correct explanation for the number 3 will be;
⇒ the number of seats at each table.
Option A is true.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mathematical expression is;
⇒ 3t + 15
Where, t represent the individual tables.
And, The expression represents the total number of seats in the restaurant.
Now,
Since, 't' represent the individual tables.
Hence,
3t = Number of tables for 3 seats
Clearly, 3 represent the number of seats at each table.
Therefore,
The correct explanation for the number 3 will be;
⇒ the number of seats at each table.
Option A is true.
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The expression -7y is a
A term
B variable
C constant
Answer:
A. Term
Step-by-step explanation:
A constant does not cointain a variable, a variable by itself does not contain a constant.
It's a term because it has a constant and a variable.
Sharon has a square picture frame with an area
of 400 inches squared. She wants to decorate
one side of the frame with ribbon. What is the
amount of ribbon she needs?
Answer:
200 inches of ribbon
Step-by-step explanation:
if the formula to finding an area is s²
and we already know that the area is 400, so we divide the area by 1/2 to get the length of each side
why did my dog eat my cat???
Answer:
'Cause he was yummy and cats are ugly.
What is the slope-intercept form of a line that contains the point (0,3) and a slope=-2
PLZ HELPP
Answer:
C. y = -2x + 3
Step-by-step explanation:
The equation of a line in slope-intercept form is given as y = mx + b.
m = slope, while b = y-intercept.
We already know that the slope, m, = -2.
We are given a point also as (0, 3). This means, at x = 0, y = 3.
Therefore, the y-intercept, b, = 3, because, the line would intercept the y-axis of the graph at y = 3, and at that point, x = 0.
Thus,
Slope (m) = -2,
y-intercept (b) = 3
Plug these values into y = mx + b
✅The equation of the line in slope-intercept form would be:
y = -2x + 3
PLS HELPPPP MEEE
(explain ur answer)
Answer:
(4). is the correct answer
Step-by-step explanation:
(- 3, 1, 1)
(1). - 3 - 1 - 1 ≠ - 2 not an answer...
(2). - 3 - 1 + 3(1) ≠ 2 not an answer...
(3). 4( - 3) + 1 - 3(1) ≠ - 4 not an answer...
(4). 2(- 3) + 3(1) + 4(1) = 1
3(1) + 3(1) = 6
- 3 = - 3(1)
Use the substitution method to solve the system of equations.
2x + 3y = 12
y = x-1
A. (3, 4)
B. (0,4)
C. (3,2)
D. (2,3)
Answer:
(3,2)
Step-by-step explanation:
The solution to the system of equations is (3, 2). So, the answer is option C. (3,2).
How to solve the equations by substitution method?We are given the system of equations:
2x + 3y = 12
y = x-1
We can use the substitution method by substituting the expression for y in the first equation with the value of y from the second equation:
2x + 3(x-1) = 12
Simplifying the equation, we get:
2x + 3x - 3 = 12
5x = 15
x = 3
Now, we can substitute the value of x in either of the two equations to find the value of y:
y = x-1
y = 3-1
y = 2
Therefore, the solution to the system of equations is (3, 2). So, the answer is option C. (3,2).
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DECA is putting in a t-shirt order for the school. At the Nike store you can get 3 t-shirts for $25.00. At the
Adidas store you can get 4 t-shirts for $29.00. At the Under Armour store you can get 5 t-shirts for $36.00. At
which store would the school get the better deal?
Answer:
Under Armour store you can get a better deal.
Step-by-step explanation:
25/3=8.33
29/4=7.25
36/5=7.2
4:9 is an equivalent ratio to 36:__
Answer:
36:81
Step-by-step explanation:
4 to 36 is times 9, so you have to multiply 9 by 9 to complete the ratio which is how you get 81.