Answer:
a) CI ( 99% ) = ( 145,45 : 162,55)
b) b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI let´s say to 95 % but in that case
you will increase de error type I
Step-by-step explanation:
a) CI = 99 % α = 1% α = 0,01
From z-table z(c) ≈ - 2,325 |z(c)| ≈ 2,325
CI = ( μ₀ ± z(c) * σ/√n )
CI = ( 154 - (2,325) * 26/√50 ; 154 + (2,325) * 26/√50 )
CI = ( 154 - 8,55 ; 154 + 8,55
CI ( 99% ) = ( 145,45 : 162,55)
b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI let´s say to 95 % but in that case
you will increase de error type I
A drawbridge has the shape of an isosceles trapezoid. The entire length of the bridge is 100 feet while the height is 25 feet. If the angle at which the bridge meets the land is approximately 60 degrees, how long is the part of the bridge that opens?
Answer:
The part of the bridge that opens is 50 ft.
Step-by-step explanation:
The given parameters of the drawbridge are;
The entire length of the bridge = 100 feet
The height of the isosceles trapezoid formed = 25 feet
The angle at which the drawbridge meets the land ≈ 60°
Therefore, the part of the bridge that opens = The top narrow parallel side of the isosceles trapezoid
The length of each half of the bridge = (The entire length)/2 = 100 ft./2 = 50 ft.
Let 'x' represent the path of the waterway still partly blocked by each half of the bridge inclined
∴ x = 50 × cos(60°) = 25
x = 25 ft.
The path covered by both sides of the drawbridge = 2·x = 2 × 25 ft. = 50 ft.
The part of the bridge that opens = The entire length - 2·x
∴ The part of the bridge that opens = 100 ft. - 50 ft. = 50 ft.
The part of the bridge that opens = 50 ft.
0
Tickets to a movie cost $9.00 for adults and $5.50 for students. There were 150 tickets purchased for a total of $1,105.00. The following system of
equations models the situation, where a is the number of adult tickets purchased and s is the number of student tickets purchased. Write the
terms with the variables in alphabetical order.
9a + 5.5s = 1.105
a +5 = 150
Rewrite the second equation in the system so that the variable for the number of adult tickets purchased can be eliminated by subtraction.
Answer:
150a
Step-by-step explanation:
plssss help
use the property that it says to solve the proportion ty
Answer:
the answer is 45 over 6
Step-by-step explanation:
A shortcut is "2 x _____ is 6", which is 3.
Multiply 15 by 3 also, to get 45,
45/6
The question is down below, please help me!! I will rate the question 5 stars and give a heart if answered
Answer:
it's 3.12 it's super easy it is 3.12 trust me you won't get it wrong
A guy wire supporting a radio tower is attached to the tower 128 feet above the ground. The wire makes a 45 degree angle with the ground. How long is the guy wire
Answer:
181 feet
Step-by-step explanation:
From the the diagram attached ,
Sinθ = a/b..................... Equation 1
Where θ = angle to the horizontal, a = Height of the tower, b = length of the wire.
make b the subject of the equation
b = a/sinθ................. Equation 2
Given: a = 128 feet, θ = 45°
Substitute these values into equation 2
b = 128/sin45°
b = 128/0.7071
b = 181 feet
b = 181 feet
JT bisects AJH and the measure of MJT is four times that of TJH. If the measures of MJT is 120 find the measure of MJA.
MJH = 120
Let TJH = x
You’re told MJT is 4 times TJH
So you have 4x + x = 120
Simplify: 5x = 120
Divide both sides by 5:
X = 24
TJH = x = 24 degrees.
JT is a bisector so both TJH and TJA are the same. So TJA is also 24 degrees
So MJA = 120 - 24 - 24 = 72
MJA = 72 degrees
Answer
34MJT
Step-by-step explanation:
did it on edge
What is the solution to the system of
equations graphed below?
a.(-13,-20)
b.(-15,-22)
c.(-1,-8)
d.(-10,-15)
Answer:
(-13,-20)
Step-by-step explanation:
We know that the graph with x-intercept at (7,0) and y-intercept at (0,-7) is y = x-7
and the second equation is y = 2x+6
Therefore, we have two equations.
[tex] \large{ \begin{cases} y = x - 7 \\ y = 2x + 6 \end{cases}}[/tex]
Because both equations are equal (y=y)
x-7=2x+6
-7-6=2x-x
-13=x
We know the value of x, but not y-value. We substitute the value of x to get the value of y.
Substitute in any given equations which I will be substituting in the first equation.
y=-13-7
y = -20
Therefore when x = -13, y = -20
In coordinate form, we can write as (-13,-20).
If you have any questions, feel free to ask.
what angle is opposite the longest side?
I will mark as brainliest
Answer:
75
Step-by-step explanation:
Answer:
the angle that is 75 degrees
Step-by-step explanation:
Because the longest side is always opposite of the largest angle and the smallest side is always opposite of the smallest angle.
Suppose that when your friend was born, your friend's parents deposited $4000 in an account paying 6.3% interest compounded quarterly. What will the account balance be after 13 years
Answer:
$9015.20
Step-by-step explanation:
A = 4000[1 + (.063/4)]^13·4
Answer:
3276
Step-by-step explanation:
4000(6.3*13)÷100
4, what is the length of EF? Please help
Answer:
EF = 8
Step-by-step explanation:
BC is half of AB, which means that DE will be half of EF. So if DE is 4, which is half of EF, then EF must be 8.
hope this helped! :)
Convert 312 quarts to gallons.
Answer:
78 gallons
Step-by-step explanation:
there are four quarts in one gallon. so, to convert 312 quarts to gallons you must divide by 4. The answer is 78 gallons.
What is the area of this
Answer:
area of trapezoid = 1/2×(a+b)×height
area of trapezoid =1/2×(15m+7m)×7m
area of trapezoid =1/2×22m×7
area of trapezoid =77m²
area of trapezoid =1/2×(a+b)×height
area of trapezoid =1/2×(9ft+12ft)×4ft
area of trapezoid =1/2×21ft×4ft
area of trapezoid =42ft²
Please help me on this question if you would want brianleist!! Tank yah!! ^^
Answer:
x axis
Step-by-step explanation:
Can someone help me with this. Will Mark brainliest.
Step-by-step explanation:
(-2,1), (-7,2)
[tex]y ^{2} - y ^{1} \\ x ^{2} - x ^{1} [/tex]
[tex]y ^{2} = - 7[/tex]
[tex]y ^{1} = 1[/tex]
[tex]x ^{2} = 2[/tex]
[tex]x^{1} = - 2[/tex]
[tex]m = \frac{ - 7 -( 1)}{2 - ( - 2)?} [/tex]
[tex]m = \frac{ - 8}{4?} [/tex]
[tex]m = - 2[/tex]
I only know how to find the slope.
Which of the following box-and-whisker plots correctly displays the data set?
88 85 86 82 66 75
O
1
70 75
60 65
80 85 90
o
60 65
70 75 80 85 90
60 65 70 75 80 85 90
o
60 65
70 75 80 85
90
Answer:
1
70 75
60 65
80 85 90
o
60 65
70 75 80 85 90
60 65 70 75 80 85 90
o
60 65
70 75 80 85
90 95 105 120 125 130 135 140 145
The box and whisker plot which correctly displays the given data set is option 3.
What is Median?Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.
Given is a data set.
88 85 86 82 66 75
A box and whisker plot is used to summarize the data using boxes which shows the quartiles in the plot.
Arranging the data set in increasing order,
66 75 82 85 86 88
Highest value in the data set = 88
Lowest value = 66
The plot which correctly displays these two points are options 2 and 3.
Now, find the median of the data set.
Median is the average of 3rd and 4th element since this consist of even number of data sets.
Median = (82 + 85) / 2 = 83.5
This is correctly marked in option 3.
Hence the correct option is third one.
Learn more about Box and Whisker Plots here :
https://brainly.com/question/11859288
#SPJ7
The complete question is given in the image below. :
Here is my question.
Answer:
5/8
Step-by-step explanation:
if 1/8 is used for one batch . for five batch=1/8*5=5/8
Does the equation 3(2x−1)+5=6(x+1) have one, none, or an infinite amount of solutions?
Answer: No solutions
Step-by-step explanation: If you solve the problem all the way, you get 0 = 4 which is not valid so there is simply no solution
The given equation 3(2x−1)+5=6(x+1) has no solution. Option B is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given equation ⇒
⇒= 3(2x−1)+5=6(x+1)
Simplify the above expression,
⇒ 6x - 3 + 5 = 6x + 1
⇒ 2 ≠ 1
Thus, the given equation has no solution.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ6
What is the solution to this system
Answer:
Sorry, I was on my phone. Its (2,3)
Step-by-step explanation:
Answer:
(2,3) is the answer
Step-by-step explanation:
Jon increased his trading card collection by 5 cards. He originally had 45 cards. What's the percent increase
Answer:
About 11%
Step-by-step explanation:
45 divided by 5 = 9
100 divided by 9 = 11.11111 (It goes on forever)
Sarah donated $920 for a new park. Sarah's brother donated $850. How much more money did Sarah donate?
Three of these fractions are equivalent: B. 12 C . 21 D. 74 30 A. . 70 Which one is the odd one out?
Answer:
12/30
Step-by-step explanation:
Here is the complete question
Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out
to determine the equivalent fractions, convert the fractions to percentage
[tex]\frac{30}{70}[/tex] × 100 = 42.86%
[tex]\frac{12}{30}[/tex] × 100 = 40%
[tex]\frac{9}{21}[/tex] × 100 = 42.86%
[tex]\frac{6}{14}[/tex] x 100 = 42.86%
Another method is to convert the fraction to its simplest form
30/70
To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7
12/30
To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5
9/21
To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7
6/14
To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7
Using either methods, 12/30 is the odd one out
I suckkk at math.. Help?
Answer:
B. x=6
Step-by-step explanation:
substitute -7 into 2y to get -14. your new equation should be 4x-14=10. add 14 to both sides to get 4x=24, divide both sides by 4 to get x=6.
Answer:
B. 6
Step-by-step explanation:
y = -7
4x + 2(-7) = 10
4x + (-14) = 10
4x = 10 - (-14)
4x = 24
x = 6
Please help me with my math( if you help i will give you brainliest)
Answer:
4. 50
5. 35
6. 45
7. 30
8. No mode
9. 42
10. 22, 25, 45, 73, 80
11. 15, 25, 30, 48, 50
12. 58
13. 35
14. 51
15. 24
16. 22.13
17. 10.22
18. Iffy's team had a lower performance than Kaiya's team. Iffy's team collected an average of 35 cans, whereas, Kaiya's team collected an average of 50 cans!! Kaiya's team also had very versatile and active players who were able to collect more, individually, unlike Iffy's team.
Step-by-step explanation:
44444444444444 help me ples
Answer:
a
Step-by-step explanation:
I really need help please!!!!!
Step-by-step explanation:
area of a quadrilateral is b x h
if the base is 7 the height is x and the area is 63 then:
7x=63
divide both sides by 7
7/7x=63/7
x=9
Hope that helps :)
Math question: Solve for y: 2x-y=3
Answer:
[tex]y=2x-3[/tex]
Step-by-step explanation:
This is just algebraic manipulation. In order to solve for y, you need to isolate it. Start this by moving the 2x from the left side of the equation. You can do this by subtracting 2x from both sides and you should end up with:
[tex]-y=-2x+3[/tex]
After this, you still have a negative y, which means you just need to divide both sides of the equation by -1 to get rid of the negative. That should reverse the signs of all the variables in the equation, making it look like:
[tex]y=2x-3[/tex]
What is the median for the following data set? 5,7,9,11,13,13
A. 10
B. 8
C. 9
D. 11
Given m||n, find the value of x.
t
(8x-7)
(x+16)°
Answer:
82°
Step-by-step explanation:
(8x-7)=(x+16)
x+16+x=180
2x+16=180
2x=180-16
2x=164
2x/2=164/2
x=82°
Find the distance between the points (7,–9) and (–2,–4).
The average car decreases in value by about 15% per year. If a car's original value is $28,000, which function best represents its value, y, after t years?
A. y=28,000(1+15)^t
B. y=28,000(1+0.15)^t
C. y=28,000(1-15)^t
D. y=28,000(1-0.15)^t
Answer:
D
Step-by-step explanation:
D