Brendan Gan is about to drive to Kuala Lumpur from Johor Bahru. The distance from Johor Bahru to Kuala Lumpur is 330 km. Brendan's car can drive 60 miles using 1 gallon of petrol The current petrol costs are RM1.85 per liter. Calculate the total petrol cost for Brendan to drive from Johor Bahru to Kuala Lumpur. Use: (1 gallon = 4.5 liters 1 mile = 1.61 km Round up answer to 2 decimal places (8 marks)
Answer:
He will spend RM 28.44.
Step-by-step explanation:
Each mile has 1.61 km.
So the distance, in miles, is given by:
[tex]\frac{330}{1.61} = 205[/tex]
For 60 miles, he uses 4.5 liters. So, for 205 miles, he will use:
[tex]\frac{205*4.5}{60} = 15.375[/tex]
For the trip, he uses 15.375 liters. Each liter costs RM 1.85. So he will spend:
[tex]15.375*1.85 = 28.44[/tex]
He will spend RM 28.44.
UL
A dodecahedron has twelve sides numbered 1 through 12. Find the probability and
describe the likelihood f each event. Using the terms such as; likely, unlikely, equally
likely to happen or not happen.
Probability
Likelihood of each
event
a. Rolling a number less than 9
b. Rolling a multiple of 3
c. Rolling a number greater than 6
Answer:
a.) likely
b.) unlikely
c.) equally
Step-by-step explanation:
A.) ~~~ there are more numbers less than 9 than numbers greater than or equal to 9, so rolling this is likely
B.) ~~~ There are only 4 multiples of 3, so rolling this is unlikely.
C.) ~~~ There are an equal amount of numbers greater than 6 and less than or equal to 6, so the chances of this are 50/50, or equal
Determine whether each piece of given information alone is sufficient to prove quadrilateral ABCD is parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, consecutive angles are supplementary, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Step-by-step explanation:
yes it is a parallelogram because opposite sides parallel.
Consider a sequence given by the formula f(n)=3n-1 starting with n=1. Generate the first 5 terms of the sequence
Answer:
The first 5 terms are 2, 5, 8, 11, 14.
Step-by-step explanation:
You use the formula to find out each term.f(n)=3n-1 starting with n=1. If n=1 that is the 1st term, if n=2 that is the 2nd term, and so on. n means what number term it is. Now to find each term: n=1: f(1)= 3(1)-1= 3-1= 2 The 1st term is 2n=2: f(2)= 3(2)-1= 6-1= 5 The 2nd term is 5n=3: f(3)= 3(3)-1= 9-1=8 The 3rd term is 8n=4: f(4)= 4(3)-1= 12-1= 11 The 4th term is 11n=5: f(5)= 5(3)-1= 15-1= 14 The 5th term is 14So the first 5 terms are 2,5,8,11,14
A hockey player needs to shoot a puck 55 meters from his current location to his opponent's goal to score a goal. After the shot, the puck is 120 centimeters from his opponent's goal. If there are 100 centimeters in 1 meter, how many meters did the puck travel?
Answer:
The puck traveled 53.8 meters.
Step-by-step explanation:
Currently, the player is 55 meters away from the opponent's goal.
After the shot, the puck is 120 centimeters = 1.2 meters from the opponents goal.
So, this means that the puck traveled 55 - 1.2 = 53.8 meters.
Answer:
(25,0)
(50,20)
symmetric
Step-by-step explanation:
What was the original price of a bicycle thats 10% off whose sale price is $63?
Answer:
70
Step-by-step explanation:
Can somebody help me fix the parallelism in these sentences:
I went walking, hiking, and I went swimming.
Her happiness was equal to his being clever.
I can fix the first one but I can't figure out the second one.
Answer: ↓↓
Step-by-step explanation:
Second one:
Her happiness was equal to his cleverness.
Hope it helped!
cuanto es 50 gramos en kilos por fa
Answer:
0.05
Step-by-step explanation:
HELPPPPP I WILL GIVEBRAINLIEST TO FASTEST. find the number if 12/13of it is 24.
Answer:
26
Step-by-step explanation:
You would do 24 × 13/12
This would be 26
Answer:
26
Step-by-step explanation:
First, we convert the question into an equation.
12/13x = 24.
We multiply both sides by 13 to get rid of the fraction that is on the left side of the equation.
12x=312.
Dividing both sides by 12, we get:
x = 26
In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°, what is the measure of ∠Z?
Triangles EFG and YXZ, in which triangle YXZ is larger than EFG.
{Please look at the comments for the answer}
A) 38°
B) 62°
C) 80°
D) 142°
Answer: A) 38°
Step-by-step explanation:
Given: In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°.
So, m∠F = m∠X = 80°
m∠Y = m∠E = 62°
By angle sum property , the sum of all angles in a triangle is 180 degrees.
In ΔXYZ ,
∠ X + ∠Y + ∠Z = 180°
⇒ 80°+ 62°+ ∠Z = 180°
⇒ 142°+∠Z = 180°
⇒ ∠Z = 180°-142°
⇒ ∠Z = 38°
Hence, the correct option is A) 38°.
Answer:
the answer is A, 38 degrees
Step-by-step explanation:
Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning. A survey of 32 out of 50 in a basketball game showed 20.5% enjoyed the game.
Answer: statistic.
Step-by-step explanation:
A parameter is a measure of characteristic in a population.
A statistic is a measure of characteristic in a sample.
Given: A survey of 32 out of 50 in a basketball game showed 20.5% enjoyed the game.
Since group of 32 games out of 50 is representing a sample here.
So, 20.5% is the measure of sample, i.e. it is a statistic.
Imagine selecting a US high school student at random. Define the random variable X = number of languages spoken by the randomly selected student. The table below gives the probability distribution of X, based on a sample of students from the US Census at School database.
What is the expected average number of languages a student knows?
Find and interpret the standard deviation for the data.
Answer:
Expected value = 1.457
Standard deviation = 0.671
Step-by-step explanation:
Given the data:
Language (X) : 1 ____ 2 ____ 3 ____ 4 ____ 5
P(X) _____0.630 _ 0.295 _0.065_0.008_0.002
Expected value :
ΣX*P(x) = (1*0.630)+(2*0.295)+(3*0.065)+(4*0.008)+(5*0.002)
= 1.457
Standard deviation : sqrt(Var(x))
Var(X) = Σx^2p(x) - E(x)
Var(X) = (1^2*0.630)+(2^2*0.295)+(3^2*0.065)+(4^2*0.008)+(5^2*0.002) - 1.457^2
= 2.573 - 1.457^2
= 0.450151
Standard deviation = sqrt(0.450151) = 0.6709329
= 0.671
Average Expected number of languages known by student, ie Expected Value = 1.457 ; Standard Deviation of Data = 0.45015
A] Expected Value represents the average, calculated by summing products of outcomes & their corresponding probabilities. E (X) = X . P (X) , where X are events & P (X) are corresponding probabilities.
E (X) = 1 (0.63) + 2 (0.295) + 3 (0.065) + 4 (0.008) + 5 (0.002) = 1.457
B] Standard Deviation denotes the measure of dispersion, spread around average. Formula = [tex]X^2 P (X) - [ E (X) ]^2[/tex]
1 (0.63) + [tex]2^2[/tex] (0.295) + [tex]3^2[/tex] (0.02,65) + [tex]4^2[/tex] (0.008) + [tex]5^2[/tex] (0.002) - [tex](1.457)^2[/tex]
= 2.573 - (1.457)^2 = 0.45015
To learn more, refer https://brainly.com/question/16726343?referrer=searchResults
The LCM of 12ab² and 3ab³
Answer:3ab^2 or 12ab^3
i think this is it
Step-by-step explanation:
Help me out with number 10.
Question: The two angles below form a linear pair and are therefore supplementary solve for X. (Geometry)
Answer:
x = 29
Step-by-step explanation:
(2x - 13)° + (7x - 68)° = 180° (linear pair angles add up to 180°)
Solve for x
2x - 13 + 7x - 68 = 180
Add like terms
9x - 81 = 180
Add 81 to both sides
9x = 180 + 81
9x = 261
Divide both sides by 9
x = 261/9
x = 29
In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About what fraction of the votes did Lincoln receive? Put in simplest form.
Answer:
2,251,926
Step-by-step explanation:
answer all you get brainiest
Step-by-step explanation:
1. 44
2. 26 95
3. 294
4. 126
5. 36.04
6. 52.02
Pat is a 23 year old man. He earns a taxable income of $70,000.00, and the effective
tax rate on his income is 19%. He contributes 10% of his earnings into a Roth IRA
account with 3% return what is his estimated Roth IRA balance when he is 50 years
old?
Answer:
$12,594.71
Step-by-step explanation:
i did the test
x + 3y – 2z = 3
-x – 2y + z = -2
2x – 7y + z = 1
Use Gaussian Elimination to solve.
Answer:
(1,0,-1
Step-by-step explanation:
Brainiest plz ?
For every $10 Helen takes home, her employer withholds $3 for taxes and social security. Helen's gross pay each month is $1950. How much does she take home each month?
$1,671.43 I believe is the answer
1000^4=10^X FIND VALUE OF X
Step-by-step explanation:
[tex]( {1000)}^{4} = {10}^{x} \\ ({10}^{3})^{4} = {10}^{x} \\ {10}^{12} = {10}^{x} \\ therefore \: x = 12 \\ \\ hope \: it \: will \: help[/tex]
Is this answer correct?
Answer:
yes
Step-by-step explanation:
Answer:
yes i belive so
Step-by-step explanation:
Solve the following proportion.
Which best describes the triangle?
Help I haven’t finish my homeworks and it’s 1:00 Pm
Answer:
it's acute and isosceles triangle.
Answer:
Concept: Identification of Figures
Start by noticing the angles, two equal on the bottom and one different at the top Also two equal sidesHence this figure is acute & isosclesGive brainlistFind the slope of the line.
Enter the slope as a whole number, or as a fraction in simplest form. (Remember that a
negative sign is not written in the denominator of a fraction in simplest form.) If the slope is
undefined, write "undefined".
PLSSS HELPPP!!!!
Answer:
-3/5
Step-by-step explanation:
It looks like the line passes through (-6,4) and and (-1,1)
Slope m = (y2-y1)/(x2-x1)
m = (1 - 4)/(-1 - -6) = (1 - 4)/(-1 + 6) = -3/5
Given that
R
=
6
x
+
5
y
Find
y
when
x
=
8
and
R
=
20
Give your answer as an improper fraction in its simplest form.
Answer:
y= - 28/5
Step-by-step explanation:
HELLLPPPPPPP
What is the solution of the system of equations? Write your answers in the blanks.
4x-2y=10 2x+y=-3 → =-2x-3 4x-2(________________)=10 y=-2(________________)-3 4x+4x+6=10 y=________________ 8x=4 x=________________
Answer:
fjvg8rg95ig9tjbopetjihefgiuo ugn idgjbiohionuion ijj ngibj irogjk0 krlkntirion pohtk ioh ht nh h h h h h
Step-by-step explanation:
what is the value of 2
estimate the weight of 6 apples explain your thinking
2/3 feet=_____ inches 2/5 m=_____ cm
5/6 year=_____ months
Answer:
2/3 ft= 8 in 2/5 m= 40 cm 5/6 yr= 10 months
Step-by-step explanation:
Figure ABCD is a parallelogram What is the permitter or a ABCD ?
Answer: The answer is c, 44 units
Step-by-step explanation: Im sure