Answer:
There is significant evidence to conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.
Step-by-step explanation:
Given the data :
6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
The hypothesis:
H0: μ = 3.2
H1 : μ > 3.2
n = sample size = 12
The sample mean, xbar = ΣX / n
xbar = 53.2 / 12
xbar = 4.43
Using calculator;
Sample standard deviation, s = 2.147
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(4.43 - 3.2) ÷ (2.147/sqrt(12)
1.23 / 0.6197855
Test statistic = 1.985
The Pvalue using the Pvalue from Tscore calculator :
Tscore = 1.985 ; df = 12 - 1 = 11
Pvalue = 0.036
Since Pvalue < α ; We reject the Null
Hence, we conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.
A cubical tank of edge 12 cm is half filled with water. The water is poured into an empty rectangular tank measuring 10 cm by 8 cm by 7 cm until it is full. How much water is left in the cubical tank? Give your answer in millilitres.
Answer:
3040000mm³
Step-by-step explanation:
Volume of a cube = a³ ; a = size of edge
Volume of cubical tank = 12³ = 12 * 12 * 12 = 1728 cm³
Half filled cube = 1728 / 2 = 864 cm³
Volume is f rectangular tank :
V = length * width * height
V = 10 * 8 * 7 = 560 cm³
Volume of water left in cubical tank :
(864 - 560) = 304cm³
1cm³ = 1000mm³
304cm³ = 304 * 1000 = 3040000mm³
There are 30 marbles in a bag. There are 10 red marbles, 7 green, 6 blue, and 7 yellow. If you randomly grab a single marble, what are the odds of grabbing a yellow?
Answer:
Step-by-step explanation:
The odds of grabbing a yellow marble from the bag are 7/30 or 0.233.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The odds of grabbing a yellow marble can be find by dividing the number of yellow marbles by the total number of marbles in the bag:
Odds of grabbing a yellow marble = Number of yellow marbles / Total number of marbles
By given there are 7 yellow marbles and a total of 30 marbles in the bag, so:
Odds of grabbing a yellow marble = 7 / 30.
Therefore, the odds of grabbing a yellow marble from the bag are 7/30 or approximately 0.233 or 23.3%.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
Seven cards are drawn from an ordinary deck. In how many ways is it possible to draw (b) only 8's, 's and (c) no 's, 's and (d) exactly 2 or ; (e) spades and hearts? (a) Number of ways to draw only 's = 0 (b) Number of ways to draw only 's, 's, and 's = 924 (c) Number of ways to draw no 's, 's, and 's = 3838380 (d) Number of ways to draw exactly 2 s or s = 3,801,028 (e) Number of ways to draw spades and hearts = 55770 Question is complete. Tap on the red indicators to see incorrect answers.
Complete question :
Seven cards are drawn from an ordinary deck. In how mnat ways is it possible to draw (a) only 5s (b)only 8s, 9s, and 10s, (c) no 8s, 9s, and 10s (d) exactly 2 jacks or kings, (e) 5 spades and 2 hearts?
Answer:
0; 792 ; 100396 ; 30408224 ; 18643560 ;
Step-by-step explanation:
Number of cards in a deck = 52
Number of cards to be drawn = 7
Using combination:
nCr = n! ÷ (n-r)!r!
A.)
Number of 5's in a deck = 4
4C7 = 0
(B.)
only 8s, 9s, and 10s,
Number of 8, 9 and 10's = 4 *3 = 12
12C7 = 12! ÷ 5!7! = 792
(C)
no 8s, 9s, and 10s ;
Number of cards to select from = 52 - (3(4)) = 40C7 = 18643560
(D)
exactly 2 jacks or kings,
Number of jack or king in deck = 8 ; other 5 could be any of the rest : (52 - 8) = 44
8C2 * 44C5 = 28 * 1086008 = 30408224
(e) 5 spades and 2 hearts?
Number of spades = 13
Number of hearts = 13
13C5 * 13C2
1287 * 78 = 100396
simplify 8x+7-x-4
help meeeeee!!!
Answer:
7x + 3
Step-by-step explanation:
Let's simplify step-by-step.
8x + 7 − x − 4
= 8x + 7 + −x + −4
Combine Like Terms:
= 8x + 7 + −x + −4
= (8x + −x) + (7 + −4)
= 7x + 3
Answer:
= 7x + 3
hope this helps and is right. p.s i really need brainliest :)
if my answer is wrong then I am incredibly sorry!
1. 4 less than q
2. The product of 5 and x, reduced by 3
Guys please help me I need this note to pass 6th grade
-9/5+-2/3+1/5+3/5 please solve someone
Answer:
-5/3
Step-by-step explanation:
-9/5 + -2/3 + 1/5 + 3/5
= (-9/5 + 1/5 +3/5) - 2/3 (combine the like terms)
= -1 - 2/3
= -5/3
Meiling and Jackie are playing a game of chance with a six-sided number cube. The sides of the cube are numbered 1 to 6. Meiling scores a point each time she rolls a number greater than 4.
Answer:
D. Jackie rolls a number that is less than 3.
Step-by-step explanation:
Every time Meiling rolls a number greater than a four, she will get a point. This gives her two numbers that she can get a point off of, 5 and 6. So If Jackie were to roll a number less than a three, Jackie would also get two numbers that she can get a point off of, 1 and 2. So the answer "Jackie rolls a number that is less than 3" will give Jackie an equally likely chance for a point.
Brainliest for correct answer asap
Answer:
its the first one. Times the bigger numbers and add the indices. so it 16^7
Answer: A 16(7)
Step-by-step explanation:
First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.
10. Find the measure of angle x.
11. Find the measure of angle ?
9514 1404 393
Answer:
10. 28°
11. 65°
Step-by-step explanation:
10. The two angles are complementary, so the unknown angle is ...
x = 90° -62° = 28°
__
11. The three angles total 180°, so the unknown angle is ...
? = 180° -55° -60° = 65°
Mr. Lopez was taking a drive to the mountains with his family they arrived at the mountains at 3:09 PM if the drive was two hours and 36 minutes long what time do Mr. Lopez family leave 
Answer:
they left at 12:34
Step-by-step explanation:
I did the math
9514 1404 393
Answer:
12:33 pm
Step-by-step explanation:
Often, problems involving addition and subtraction of time values are best worked in 24-hour "military" time.
Here, we want to know the time that is 2:36 before 3:09 pm. We can write 3:09 pm as 15:09. Then the difference is ...
starting time + travel time = ending time
starting time = ending time - travel time
starting time = 15:09 -2:36 = (15-2):(09-36) = 13:(-27) = 12:33
Mr Lopez's family left at 12:33 PM.
__
There are 60 minutes in an hour. 60-27=33.
What is the present value for $12,484 at 8% for two years
Answer:
Total = Principal * (1 + rate)^2
Total = 12,484 * (1.08)^2
Total = 14,561.34
Source http://www.1728.org/compint.htm
Step-by-step explanation:
If m∠A = (11x + 37)° and x = 13, find m∠A and classify the angle (acute, right, obtuse, straight). Someone give me the two answers for this problem.
9514 1404 393
Answer:
obtuse, straight
Step-by-step explanation:
If you insist on two answers, there is only one pair of answers that are self-consistent:
obtuse, straight
__
m∠A = (11(13) +37)° = (143 +37)° = 180° . . . . a straight angle, also obtuse
What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 17 meters, and a length of 13 meters?
Answer: 3084
Step-by-step explanation: 14•17=238 238•13=3084
Answer:
3094
Step-by-step explanation:
l=13 w=17 h=14
v = L W H
V= ( 13 ) ( 17 ) ( 14 )
V= 3094 meters 3
Your Solution:
V= 3094
5,000 is invested at an interest rate of 8% compounded annually. how much is the investment return after 20 years?
Step-by-step explanation:
5k×8×20
_______ =800
100
Answer:
≈ 23305
Step-by-step explanation:
The amount A is calculated as
A = P [tex](1+r)^{t}[/tex]
P is the principal
r is the interest rate
t is the time in years
A = 5000 [tex](1+0.08)^{20}[/tex]
= 5000 [tex](1.08)^{20}[/tex]
≈ 23305 ( to the nearest whole number )
The sides of a triangle have lengths 6, 8, and 11. What is
the length of the longest side of a similar triangle whose
perimeter is 75?
Answer:
48 is the answer
Step-by-step explanation:
The longest side of the similar triangle whose perimeter is 75 is 33 units.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
The sides of the given triangle are,
6 units, 8 units and 11 units.
Also given that,
There is a similar triangle whose perimeter is 75 units.
To find the longest side of the similar triangle,
Let the sides of the similar triangle are 6x, 8x and 11x
The perimeter of triangle = 75
Implies that,
6x + 8x + 11x = 75
25 x = 75
x = 3
Since, the longest side of the similar triangle = 11 x
Substitute x = 3 here,
Longest side = 11 × 3 = 33 units
The required side of similar triangle is 33 units.
To know more about Triangle on:
https://brainly.com/question/2773823
#SPJ2
A park is in the shape of an isosceles triangle with a base of 56 feet. The perimeter of the park is 190 feet. How long is each of the equal sides of the park?
9514 1404 393
Answer:
67 feet
Step-by-step explanation:
The perimeter is the sum of the base length and the two equal sides (s).
190 = 56 +2s
134 = 2s . . . . . . subtract 56
67 = s . . . . . . . . divide by 2
Each of the equal sides is 67 feet long.
answer and show Actual PROOF and ill give brainliest
Answer:
105m^3
Step-by-step explanation:
The volume of a rectangular prism is calculated by multiplying l*w*h. Basically, just multiply all the numbers together.
So that would be 3*5*7
What is the correct answer for this question?
Answer:
3 2/3 inches (the last one)
Answer:
[tex]maybe \: letter \: a[/tex]
Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter: 4 x 2 x π = 8π
LA = 8π x 6 = 48π
Base area = 4^2π = 16π
SA = 16π x 2 + 48π = 80π
V= 16π x 6 = 96π
A bag contains 8 red marbles and 4 blue marbles. You randomly pick a marble and then pick a second marble without returning the first marble to the bag. What is the probability that both marbles are red?
Answer:
0.50%
Step-by-step explanation:
Please help, I’m confused
Answer:
220/221
Step-by-step explanation:
cos math
which is greater 0.98 or 0.980
Answer:
They are equal.
Step-by-step explanation:
Answer:
both are equal its just a zero added
A stack of books is 35 inches high. If each book is 1 3/4 inches thick, how many books are in the stack?
Answer:
20 books
Step-by-step explanation:
Height of stack = 35 inches
Thickness of one book [tex] =1\frac{3}{4} =\frac{7}{4}\: in [/tex]
No. of books
[tex] = 35 \div \frac{7}{4} \\ \\ = 35 \times \frac{4}{7} \\ \\ = 5 \times 4 \\ \\ = 20[/tex]
9. The ages of A and B are in the ratio 3:5. Four years later,
the sum of their ages is 48. Find their present age
Answer:
A = 15 B = 25 in four years 19+29 = 48
Step-by-step explanation:
age A and B ratio is 3 to 5
A+4 + B+4 = 48
A + B = 40
A/B = 3/5 A = 3B/5
A + B = 40
3B/5 + B = 40
3B + 5B = 200 multiple both sides by 5
8B = 200
B = 25
A = 3B/5
A = 3(25)/5
A = 15
Answer:
15
Step-by-step explanation:
my noluv.joel15 who wanna follow
If ∠C and ∠D are complementary angles, m∠C = (4x + 3)°, find m∠D = (15x - 8)°, find m∠D.
Answer:
67
Step-by-step explanation:
4x+3+15x-8=90(complementary angle)
x=5
now D = 15*5-8
d=67
What is 57 divided by 90?
Answer:
0.63 should be your answer
Answer;
0.6333333
Step-by-step explanation:
I think it's helps you
32
Select the correct answer.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function. Lett
represent the time, in seconds, since the friends started seesawing.
t
0
1
2.
3
4
5
6.
ht)
24
48
24
0
24
48
24
If the friends start seesawing with the plank in a level position, how long does it take for the friend in the left seat to move upward, downward,
and then back to the initial position?
Answer:
I believe it would be 4 seconds
Step-by-step explanation:
PLATO/Edmentum
The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.
Let t represent the time, in seconds, since the friends started seesawing.
t 0 1 2 3 4 5 6h(t) 24 48 24 0 24 48 24The friends start seesawing with the plank in a level position. The initial position at 0 of them is at 24.
The group has to come back to this position after moving upward and downward. The time it takes to reach upward is,
[tex]f(48)=t_{up}\\f(48)=1[/tex]
The time it takes to reach downward after going upward is,
[tex]f(0)=t_{down}\\f(0)=3[/tex]
Coming back to initial potion,
[tex]f(24)=t_{i}\\f(24)=4[/tex]
Thus, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
Bob and Venessa share $52. if Bob gets three times what Venessa gets, how much does he get?
Given vectors A=(1i+7j−2k)N and B=(−1i−10j+13k)N, find the magnitude of resultant of these two vectors and angle that the resultant of these two vector makes with the z axis.
IRI= ____ N,
γ=_____ °. pls help mangota
Answer:
Step-by-step explanation:
y= 7.2
Iri=21.1
Answer:
that should be correct:)
Step-by-step explanation:
y= 7.2
Iri=21.1