Answer:
The confidence interval is [tex]13.4< \mu < 13.8[/tex]
Step-by-step explanation:
From the question we are told that
The sample mean is [tex]\= x = 13.6[/tex]
The standard deviation is [tex]\sigma = 1.9[/tex]
The sample size is [tex]n = 189[/tex]
given that the confidence level is 85% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 85 )\%[/tex]
[tex]\alpha = 0.15[/tex]
Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table the value is
[tex]Z_{\frac{\alpha }{2} } = 1.44[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]E = 1.44* \frac{1.9}{\sqrt{189} }[/tex]
=> [tex]E = 0.1990[/tex]
The 85% confidence interval is mathematically represented as
[tex]\= x - E < \mu <\= x + E[/tex]
=> [tex]13.6- 0.1990 < \mu < 13.6+ 0.1990[/tex]
=> [tex]13.4< \mu < 13.8[/tex]
2. Find the solution to the following system of eguations using the addition method
4x - 5y = 13
X + 5y = -3
Answer: (2, -1)
Explanation: Since one equation has a -5y and the other equation
has a +5y, when we add the equations together, the y's will cancel out.
So we have 5x = 10 and x = 2.
To find y, plug 2 back in for x in either of the two original equations.
I have chosen to plug 2 into the second equation to get (2) + 5y = -3.
Solving from here, y = -1.
So our final answer is the ordered pair (2, -1).
Now, check your answer.
find the sum to infinity of a geometric series having a second term of -9 and fifth term of 1/3 g
Answer:
S infinity= -51/4
Step-by-step explanation:
First term
ar= -9
Fifth term
ar⁴= 1/3
Solving for the value of the r and a
ar= -9
ar⁴= 1/3
Dividing each other
r³=1/3 * -1/9
r³=-1/27
r= 3√-1/27
r= -1/3
Solving for a
ar= -9
a(-1/3)= 9
a= 9*-3
a= -27
Sum of a go to infinity is given by the formula
S infinity= a/(1-r)
S infinity= -27/(1-(-1/3))
S infinity= -27/(1+1/3)
S infinity= -27 * 3/4
S infinity= -51/4
To which set of numbers does -15 belong to? Select all apply.
Answer:
Integer
Step-by-step explanation:
On every number line we have both negative and positive numbers. So negative 15 is an integer
For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for
the equation
y=-4x+ 3
O (-1,1)
O (0, 3)
O (1,-1)
O (2, 11)
HELP ASAP
Answer:
(0,3) and (1,-1)
Answer:
C on edge 2020
Step-by-step explanation:
For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for the equation.
y = -4x + 3
A-(-1, 1)
B-(0, -3)
C-(1, -1)
D-(2, 11)
1. Write the ratio 2/3 to 8 as a fraction in simplest form.
Answer:
2/3 +8/3=10/3
Step-by-step explanation:
Write a real world situation the would represent -5 + -2 +3 = -4
The Florida Turnpike is a 312-mile stretch of highway running from Central Florida to South Florida. Drivers who use a SunPass pay discounted toll rates. For 2-axle passenger vehicles with a SunPass, the toll at the Orlando (I-4) Mile Post is͵, and the toll at the Okeechobee Plaza exit in West Palm Beach is a. A 2-axle passenger vehicle with a SunPass drives through the Orlando (I-4) Mile Post five times. Determine the total amount of money that will be deducted from this vehicle’s SunPass account. b. Create an algebraic expression to describe the total amount of money that will be deducted from this vehicle’s SunPass account for any given number of drives through the Orlando (I-4) Mile Post. c. The same 2-axle passenger vehicle drives through the Okeechobee Plaza exit in West Palm Beach seven times. Determine the total amount of money that will be deducted from its SunPass account. d. Create an algebraic expression to describe the total amount of money that will be deducted from this vehicle’s SunPass account for any given number of drives through the Okeechobee Plaza exit. e. Write an algebraic expression to describe the combined total amount of money that will be deducted from this vehicle’s SunPass account after it passes through the Orlando (I-4) Mile Post and the Okeechobee Plaza exit any given number of times. f. What is the total amount of money that will be deducted from this vehicle’s SunPass account after it passes through the Orlando (I-4) Mile Post eight times and Okeechobee Plaza exit four times?
Answer:
2.65
Step-by-step explanation:
Work your brain today y'all!!
I had $3.00.
My Mom gave me $10.00.
My Dad Gave me $30.00.
My Aunt & Uncle gave me $100.00.
I had another $7.00.
How much did I have?
Right answer will get deleted.
I won against: I stole this post or sure the answer...
Answer:
We need to add to the $3.00 we have at the start, what they gave him:
He started with $3.00 and received $10.00:
3.00 + 10.00 = $13.00
Then (when having $13.00) received $30.00:
13.00 + 30.00 = $43.00
Then (when having $43.00) received $100.00:
43.00 + 100.00 = $143.00
Then (when having $143.00) he had another $7.00:
143.00 + 7.00 = $150.00
The answer is $150
I initially had $3
My mom gave me $10
= $10+$3
= $13
My dad gave me $30, my aunt and uncle also gave me $100
= $100+$13+$30
= $143
I had another $7
= $7 + $143
= $150
This makes it a total of $150
Hence the amount i have is $150
Please see the link below for more information
https://brainly.com/question/17490143?referrer=searchResults
Find the slope of the line that passes through each pair of points. Express as a fraction in simplest form.
(-9,-11), (6,3)
6/8 skkssbjsjdsdhdhbddbd dhhdhshshs
Answer:
14/15
Step-by-step explanation:
To find the slope
m= ( y2-y1)/(x2-x1)
= ( 3 - -11)/( 6 - -9)
= ( 3+11)/( 6+9)
= 14/15
Change 64 hours to minutes
Answer:
3840 minutes
Step-by-step explanation:
60x64= 3840
can i have the brainliest, please????
Answer:3840 minutes
Step-by-step explanation:
there is 60 min in an 1 hr so there for you can multiple 64x60 which equals 3840
Use front-end estimation to estimate the difference.
92.1 - 18.56
80
70
60
50
Answer:
70
Step-by-step explanation:
Here, you're expected to round the numbers to the nearest 10, then do the subtraction:
92.1 -18.56 ≈ 90 -20 ≈ 70 . . . estimated answer
which of the following must describe an irrational number
Answer:
An Irrational number is a number that cannot be expressed as the ratio of two integers.
Example: [tex]\pi[/tex]
its numbers are infinite
20 - 10y - 7y + 9
please need help
ASAP
.................,...........................................,...,................
Suppose you want to equate an expression to zero:
[tex]\[\begin{array}{l}20 - 10y - 7y + 9 = 0\\29 - 17y = 0\\17y = 29\\y = \frac{{29}}{{17}}\end{array}\][/tex]
Help me please thank you
Answer:
y = 120º
Step-by-step explanation:
180 - (33 + 87) = 60
x = 60
180 - 60 = 120
y = 120º
or y = 33 + 87, because the outer angle of one angle equals the other two inner angles.
Answer: 120°
Step-by-step explanation:
If you add up all the triangles angles, it always is 180. So, when you add 33+87, you get 120. This means that x=60 because 120+60 =180.
Then, you also know that x and y together, make a 180° also because it is a straight line. So, y is equal to 120° because 60+120 = 180°.
Hope this helps! :)
Data was collected for 221 randomly selected 10 minute intervals. For each ten-minute interval, the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below. Number of Guests Frequency 100 – 119 45 120 – 139 76 140 – 159 56 160 – 179 17 180 – 199 27 What is the class width for this GFDT?
Answer:
20
Step-by-step explanation:
From the above question, we were given the following information:
Number of Guests = Frequency
100 – 119 = 45
120 – 139 = 76
140 – 159 = 56
160 – 179 = 17
180 – 199 = 27
Class width can be defined as :
The difference between the upper limits of two consecutive classes, or the difference between the lower limits of two consecutive classes.
The class width for this GFDT : 139 - 119
= 20
PLEASE HELP IMMEDIATELY!!! (Emergency)
Isaac owes $474.43 on his credit card. He returns two items, one for $48.90 and the other for $45.38. Then he makes purchases of $38.39 and $31.03. What is the new balance on the card?
Answer:
The new balance on his card is $-449.57
Step-by-step explanation:
He starts by owing $474.43 which is -474.43
First, he returns $48.90 and $45.38 which means that we are going to add 48.9 and 45.38 to -474.43
, he returns $48.90 and $45.38 which means that we are going to add 48.9 and 45.38 to -474.43-474.43 + 48.9 + 45.38 = -380.15
, he returns $48.90 and $45.38 which means that we are going to add 48.9 and 45.38 to -474.43-474.43 + 48.9 + 45.38 = -380.15Now he owes the bank $380.15
Next, he purchased 2 more items for $38.39 and $31.03 which indicates -380.15 - 38.39 - 31.03.
-380.15 - 38.39 - 31.03 = -449.57
Therefore he owes the bank $449.57 now
Hope this helped ~
Your local smart crackhead
In a poll of 555 randomly selected students, 40% stated that they enjoyed statisticsa. Identify the number of students who say that they enjoy statistics? Round to the nearest whole student if necessary.b. Construct a 95% confidence interval estimate of the percentage of all students who say that they enjoy statistics.c. Can we safely conclude that majority of students enjoy statistics? Explain.
Answer:
a
[tex]N = 222[/tex]
b
[tex]0.36< p <0.44[/tex]
c
No we can not safely conclude that majority of students enjoy statistics because the upper limit of the confidence level is less than 50%
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 555[/tex]
The percentage that enjoyed statistics is [tex]\r p = 40% = 0.40[/tex]
Generally the number of student who say they enjoyed statistics is mathematically represented as
[tex]N = 0.40 * 55[/tex]
=> [tex]N = 222[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = ( 100-95)\%[/tex]
=> [tex]\alpha = 0.05[/tex]
The critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
The margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{ \r p (1 - \r p )}{n} }[/tex]
=> [tex]E = 1.96 * \sqrt{ \frac{0.40 (1- 0.40 )}{ 555} }[/tex]
=>. [tex]E = 0.04[/tex]
The 95% confidence interval is mathematically represented as
[tex]\r p - E < p < \r p + E[/tex]
=> [tex]0.40 - 0.04 < p <0.40 + 0.04[/tex]
=> [tex]0.36< p <0.44[/tex]
No we can not safely conclude that majority of students enjoy statistics because the upper limit of the confidence level is less than 50%
what is the sum -6-13
Answer:
-19
Step-by-step explanation:
Let's assume we are owing two people 6 dollars and the other person 13 dollars u have no gain
Draw 3 points that are noncoplanar.
Answer:
Coplanar is when all 3 points are on the same plane
Noncoplanar is when they are not
For ex:
Coplanar->
.x, .z, and .s are all on the plane R
Noncoplanar->
.x, and .z are on plane R
.s is on plane Y
mean of 7
observations was calculated as 40. It was detected on rechecking that the value 63 was
wrongly copied as 36. Find the correct mean?
Answer:
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Because 63 is a multiple of 7
So.... 63/7
=9
So this shows us 9 is the mean
HOPE IT HELPS YOU!
PLEASE MARK ME AS BRAIN LIST IF MY ANSWER IS HELP FUL
Which of the following is an example of probability-based inference?
A. representing data with a table
B. making observations
C. deciding that a claim is true
D. calculating a range
Answer:
deciding that the claim is true
Divide (6.3 × 103) by (1.8 × 105) giving your answer in Scientific Notation.
Answer:
(6.3*10³) ÷ (1.8*10⁵)
6.3*10³ = 0.063*10⁵
then:
(6,3*10³) ÷ (1.8*10⁵) = (0.063*10⁵) ÷ (1.8*10⁵)
= 0.063/1.8
= 0.035
0.035 = 3.5 *10⁻² = 35*10⁻³
Is 93.43 an integer or not
Answer:
The answer is no
F(x) = x + 1, find f(x+3)
Answer:
Step-by-step explanation:
f(x) = x + 1, find f(x+3)
f(x+3) = x + 3 + 1 = x + 4
Answer: f(x+3)=x+4
Step-by-step explanation:
f(x)=x+1
f(x+3)=(x+3)+1 ⇔ substitute x
f(x+3)=x+3+1 ⇔ take of parentheses
f(x+3)=x+4 ⇔ simplify
Hope this helps!! :)
Please let me know if you have any question
Eight subtracted from seven times a number is -43. What is the number?
Answer:
8-7x=-43.
-7x= -43-8.
-7x= -51.
x= 7.285714286~7.3
Answer: The number is -5 or its value is equivalent to -5.
Step-by-step explanation:
So we are given the equation:
eight subtracted from seven times a number is -43
So we have to find what that unknown number is. We can do this by adding 8 to -43 which gives us -35. Now divide -35 by 7, and your answer is -5.
So the number is -5 or its value is equivalent to -5.
The following random sample from a population whose values were normally distributed was collected.10 8 11 11The 95% confidence interval for μ is:a. 8.00 to 10.00b. 7.75 to 12.25c. 9.75 to 10.75d. 8.52 to 10.98
Answer:
Answer:
B
Step-by-step explanation:
First to find the sample mean
Xbar= summation x/n= 40/4= 10
The sample standard deviation is:
S= √summation(x-xbar)²/ n-1
=√6/3= 1.4142
The degrees of freedom
df= N-1= 4-1= 3
For 95% confidence level, critical value of t
t= 3.182
The 95% confidence interval is:
=Xbar plus or minus t' *8/√n
= 10 plus or minus 3.182(1.4142/√4)
= 10plus or minus 2.25
So 7.75 or 12.25
A child walks due east on the deck of a ship at 3 miles perhour.
The ship is moving north at a speed of 16 miles per hour.
Find the speed and direction of the child relative to thesurface of the water.
Speed = mph
The angle of the direction from the north = (radians)
Answer:
16.28 mph ; 79.38°
Step-by-step explanation:
Given the following :
Speed of child due east = 3mph
Speed of ship due North = 16mph
Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus
Relative Speed = Sqrt(3² + 16²)
Relative Speed = sqrt(9 + 256)
= sqrt(265)
= 16.2788 mph
= 16.28 mph
From trigonometry ;
Tanθ = opposite / Adjacent
Tanθ = (16 / 3)
Tanθ = 5.333
θ = tan^-1(5.333)
θ = 79.379°
θ = 79.38°
3. Define a variable, write an equation, and solve the problem. Carla began a
running program to prepare for track team try-outs. On her first day she ran
3 miles, and on her second day she ran 5 miles. Since then, Carla has run 7 miles
each day. If her log book shows that Carla has run a total of 99 miles, for how
many days has Carla been running 7 miles?
Answer:
Carla has been running 7 miles each day for 13 days.
Step-by-step explanation:
Carla ran 3 miles on her first day, 5 miles on her second day and then 7 miles each day onward.
Let the number of days she ran 7 miles each day = x
Total distance run by Carla = 3 + 5 + 7(x)
= 8 + 7x
If her log book shows that she has run total distance = 99 miles
Equation representing her total run will be,
8 + 7x = 99
7x = 99 - 8
7x = 91
x = [tex]\frac{91}{7}[/tex]
x = 13 days
Therefore, Carla has been running 7 miles each day for 13 days.
Will mark brainliest
Answer:
12. 5x
13. 5/x-z
Step-by-step explanation:
12. product means multiplication so multiply 5 by x= 5x
13. quotient means division and difference means subtraction. so you divide 5 by x-z= 5/x-z
Answers:
[tex]\huge \boxed{{12. \ 5x}}[/tex]
[tex]\huge \boxed{{13. \ \frac{5}{x-z} }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The product is the result after multiplying values together.
The product of 5 and x is:
[tex]5 * x[/tex]
[tex]5x[/tex]
The quotient is the result after dividing values together.
The difference is the result after subtracting values together.
The quotient of 5 and the difference of x and z is:
[tex]\displaystyle \frac{5}{x-z}[/tex]
[tex]\rule[225]{225}{2}[/tex]
f() = 37. What are the domain and range of f-12)?
А.
D: (-) R (-0,0)
B
D: (-) R: (0,-)
CD: (-00) R (-00)
D.
D: (0.) R (-)
Answer:
c
Step-by-step explanation: