Answer:
(69.708 ; 74.292) ; 78% ; 350 ;
H0 : μ = 72
H0 : μ > 72
Pvalue = 0.8897
there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.
Step-by-step explanation:
99.5% confidence level, = 2.807
Sample size, n = 150
xbar = 72
Standard deviation, s = 10
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 2.807 * 10/sqrt(150)
Margin of Error = 2.292
Lower boundary = 72 - 2.292 = 69.708
Upper boundary = 72 + 2.292 = 74.292
(69.708 ; 74.292)
B.)
Confidence level of the interval (71, 73)
(72 - 71 ) or (73 - 72)
Margin of Error = 1
Margin of Error = Zcritical * s/sqrt(n)
1 = Zcritical * 10/sqrt(150)
1 = Zcritical * 0.8164965
Zcritical = 1 / 0.8164965
Zcritical = 1.2247
α = 0.22 = 1 - 0.22 = 0.78 = 78%
C.)
Margin of Error = ±1.5
1.5 = Zcritical * s/sqrt(n)
99.5% confidence level, = 2.807
1.5 = 2.807 * 10/sqrt(n)
1.5 = 28.07 / sqrt(n)
Square both sides
1.5² = 28.08² / n
2.25n = 788.4864
n = 788.4864 / 2.25
n = 350.4384
n = 350 samples
D.)
H0 : μ = 72
H0 : μ > 72
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(73 - 72) ÷ 10/sqrt(150)
Test statistic = 1.2247
Pvalue :
P(Z < 1.2247) = 0.8897
Pvalue > α
0.8897 > 0.005
We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.
A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft longer than the second.
What are the lengths of the three pieces?
Answer:
The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long
Step-by-step explanation:
Let x represent the length of the first piece.
Since the second piece is 5 ft longer than the first, it can be represented by x + 5
Since the third piece is 1 ft longer than the second, it can be represented by x + 6
Create an equation that adds all of these terms up to 32, and solve for x
(x) + (x + 5) + (x + 6) = 32
3x + 11 = 32
3x = 21
x = 7
So, the first piece is 7 ft long.
Using the expressions we created, solve for the lengths of the second and third pieces.
x + 5
7 + 5 = 12
x + 6
7 + 6 = 13
The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long
Can someone give me the answer plz.
Find the 20th term in the following
arithmetic sequence :
12, 15, 18, 21, ..
John is 70 years younger than Sharon. Sharon is 4 times as old as John.
If you let s = Sharon's age and j = John's age, then the problem can be represented by a system of equations. Which of the
following shows a graph of this system and the solution to this problem?
1
Answer:
j = 23 years-old s = 92 years old.
Step-by-step explanation:
j = s - 70
s = 4j
j = 4j - 70
-3j = -70
j = 70/3
j = 23
s = 92
Calculate the circumference. show me process
Answer:
Radius is 13
13 x 3.14 x 2 = 81.64
Formula of circumference:
2 x pie(3.14 or 22/7) x r (radius
Pls help 10 ptsssssssssssss
NO LINKS
Answer: If m=2, then 28 divided by 2 equals 14. Plug m into the equation.
Brainliest for correct answer
Answer:
one third of the volume
Step-by-step explanation:
The price of the sweater was reduced by 40%
HELP PLZZZ HELP I’ll give u BRAINLY
Answer:
1 Factor out the common term 22.
2(x+3y)=6
2(x+3y)=6
2 Divide both sides by 22.
x+3y=\frac{6}{2}
x+3y=
2
6
3 Simplify \frac{6}{2}
2
6
to 33.
x+3y=3
x+3y=3
4 Subtract 3y3y from both sides.
x=3-3y
x=3−3y
Answer:
x=3 and y=2
Step-by-step explanation:
I hope I"m right and if I am can I be marked brainliest.
keaton hasan aquarium 30 inches long, 24 inches wide and 15 inches high. if he fills the aquqrium with watef up to 4 inches from the top, what will be the volume of water in the aquarium?
Answer:
7920
Step-by-step explanation:
Calculator
A rectangle is 13 feet long and 4 feet wide. Find its area.
Step-by-step explanation:
13 feet long
4 feet wide
13 + 4 = 17
feet long
feet wide
= feet wide
so 13 +14 = 17 feet wide
can you do this math test for me i need it done by 4:00
Answer:
14. x=1, x=−9
x^2 + 8x + 20 = 29
x^2 + 8x + 4^2 = 9 + 4^2
(x + 4)^2 = 25
x + 4 = ± 5
15. x = -1/2, x = -3/2
4x^2+8x+3=0
x = -8 ± √8^2-4x4x3/2x4
x = -8 ± √64-4x4x3/2x4
x = -8 ± √64-16x3/2x4
x = -8 ± √64-48/2x4
x = -8 ± √16/2x4
x = -8 ± √4/2x4
x = -8 ± √4/8
x = -4/8
x = -1/2
x = -12/8
x = -3/2
16. -36
Use the values of a, b, and c to find the discriminant.
17. x=2, x=−2
3x^2 + 5 = 17
3x^2 + 5 - 17 = 0
3x^2 - 12 = 0
x^2 - 4 = 0
(x−2)(x+2)=0
x=2 x=−2
18. x=12
, x=−12
x^2 = 144
x^2 - 144 = 0
(x−12)(x+12)=0
x=12,
x=−12
19. x=2√5+3, x=3−2√5
x−3=2√5
x−3=−2√5
x−3−(−3)=2√
5−(−3)
x−3−(−3)=−2√5−(−3)
x=2√
5−(−3)
x=−2√5−(−3)
x=2√5+3
x=3-2√5
20. t = -√24-h/4+1, t = √24-h/4+1, h≤24
Word bank:
A) zeroes
B) axis of symmetry
C) y-value of the vertex
Step-by-step explanation:
I hope this helps!
Solve the following equation for x.
6x = 1.5
Answer:
x = .25
Step-by-step explanation:
6x = 1.5
Divide each side by 6
6x/6 = 1.5/6
Multiply the top and bottom by 10
x = 1.5*10/ (6*10)
x = 15/60
x = 1/4
x = .25
Find the area of the composite figure
Answer:
161
(7*11)+(6*14)
answer 161
In simplest form, what fraction of the figure is shaded?
2/3
3/4
5/6
7/8
2. Which fraction is equivalent to 3/9? *
1/4
1/3
2/5
1/2
Tickets to a movie cost $5 for adults and $3 for students m. A group of friends purchased 18 tickets for $82. How many adults tickets did they buy?
Answer:
1230
Step-by-step explanation:
i multipled to see what i was gone get
for brainliest please help
The value of x in given figure is 100°
What do you mean by the term Angle ?
An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called the sides of the angle, and they can be measured in degrees or radians.
An angle can be classified as acute, right, obtuse, or straight, depending on its measure. An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a straight angle is exactly 180 degrees.
According to question
In ΔABC ,
∠ C is 100°
So,the value of x is also 100°( by vertically opposite angle)
Learn more about Right angle here
https://brainly.com/question/7116550
#SPJ1
what is the value of x?
Answer:
16
Step-by-step explanation:
8x-8 = 7x-8 (vert. opp. angles)
8x = 7x + 16
x = 16
please help asap!!!!!!!!!!!!!!!
Answer:
x=22
Step-by-step explanation:
two interior angles = exterior angle
2x+2x+8=3x+30
4x+8=3x+30
x=30-8
x=22
Madelyne made 2 liters of fruit punch for her party. Her brother
drinks 500 milliliters before the party. How many milliliters of punch
does she have left?
A. 1.5 liters
B. 15 milliliters
10. Cassandra needs 2 meters of string
C. 150 milliliters
D. 1,500 mililiters
centimeters of string do
Answer: D 1,500
Step-by-step explanation:
Because there is 2,000 milliliters in 2 liters, so if we do 2,000 - 500 we get 1,500 left
Answer:
Both A and D
Step-by-step explanation:
Because 500 milliters is half of one liter which makes the total 1.5 liters or 1500 mililliters
i-Ready
Equivalent Linear Expressions - Instruction - Level G
3
-2 +1+
4
2
) Write an expression that is equivalent to
2
3
1
20.
2
2
1
3
-2 +1+ 2
4
4
1
2
2
2 +
?
3
Answer:
LEavel ^ 9-8=1
Step-by-step explanation:
HELP PLSS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
area = 255 [tex]m^{2}[/tex]
perimeter = 20+6.7+8+8+15+26 = 83.7m
Step-by-step explanation:
top left triangle - base is 3 because (20-8-9). so 1/2 bh = 1/2 (3) (6) = 9
left rectangle = l x w = 20 x 6 = 120
middle square = l x w = 8 x 9 = 72
lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54
9+120+72+54 = 255
Helpp!!! I’ll mark as brainlistt
What are some random numbers that add up to 50?
Answer:
25+25, 40+10, 35+15 If that's your question, not sure. But if you mean what's divisible by 50, maybe 10, 5
Step-by-step explanation:
18 meters in 15 minutes
Formart:
18y=15mx/m
I rlly didn’t know what yhu needed
HELP ASAP NO LINKS PLEASE HELP
Ex: You invested $1000 in a savings account. The account pays 5% annual interest.
How much will be in the account after 6 years?||
1
Answer:
I KNOW THE ANSWER ITS 5000
Step-by-step explanation:
SUB to sir sir bmgo
I'm trying to get this question but all i'm getting is links plz somebody answer my question i'm going to fail my I NEEED AN ANSWERRR
Use the table for 12–17.
In the table above, Mr. Maramonte
recorded the score each student in his
class earned on a recent math test.
12. What is the mean score for the students
in Mr. Maramonte’s class?
_______________________________________
13. What is the mean absolute deviation for
the scores to the nearest hundredth?
_______________________________________
14. What is the median score for the
students in Mr. Maramonte’s class?
_______________________________________
15. What is the mode of the data?
_______________________________________
16. Draw a box-and-whisker plot to display
the data.
17. What is the interquartile
please help with this :D
Answer:
130°-85°=45°
x=45°
Hope it will help you
need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
1) 2/3
2) 5x/2
Step-by-step explanation:
The fraction simplification process involves finding the largest common factor in the numerator and denominator, then dividing that from both.
1)
[tex]\dfrac{8}{12}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{2}{3}\cdot\dfrac{4}{4}=\dfrac{2}{3}\cdot1 =\boxed{\dfrac{2}{3}}[/tex]
__
2)
[tex]\dfrac{15x^2}{6x}=\dfrac{5x\cdot3x}{2\cdot3x}=\dfrac{5x}{2}\cdot\dfrac{3x}{3x}=\dfrac{5x}{2}\cdot1=\boxed{\dfrac{5x}{2}}[/tex]