Answer:
We conclude that the percent of decrease = 20%
Step-by-step explanation:
Given
Original amount = $3930Amount of decrease = $3930 - $3144 = $786Using the formula
Percent of decrease = ( amount of decrease / orignal amount × 100 ) %
= ( 786 / 3930 × 100 ) %
= ( 0.2 × 100 ) %
= 20%
Therefore, we conclude that the percent of decrease = 20%
Q.The rectangular front windshield of the bus has the length of 1.5√3 m and the width of 1.5 m . The wipers are attached to the bottom corners. If the length of each wiper is equal to the width of the windshield, find the percentage of the windshield that wipers can reach.
(Solve this task without using Trigonometry)
Answer:
Area covered by wiper=area of arc(A0D)+area of traingleAOB+area of arc(BOC)
We know AO and OB are wipers,whose lengths are 1.5
In ∆ABC
AB^2+BC^2=AC^2
(1.5√3)^2+(1.5)^2=(AC)^2
2.25×3+2.25=(AC)^2
2.25×4=AC^2
AC=3
Also AO=1.5
similarly using Pythagoras theorem in ∆OBC
we get
OC=1.5
this shows that point O is the bisector of diagonal AC
so,AO=OC
also from property of rectangle we know that, diagonal bisects each other equally
so,O will also be the bisector of diagonal BD
hence OB=OD=1.5
AC=BD (property of triangle)
AC/2=BD/2
OB=OC,hence OB=OC=OD=OA=1.5=AD=BC
Hence OAD will be an equilateral triangle
so
angle OAD=60
similarly angleOBC=60
area of sector=angle of that sector ×area of circle/360
area of arc(AOD)+arc(BOC)=60/360 ×3.14 ×1.5×1.5 +60/360 ×3.14×1.5×1.5
=2×(60/360)×1.5×1.5
area of triangleAOB=area of rectangle/4 (diagonal divides the rectangle in 4 equal parts)
area of triangle=1.5×1.5√3/4
=>1.5×2.6/4=3.90/4
=0.975 or 0.98(approx)
Area covered by wiper=.98+2×60/360 ×3.14×1.5×1.5
=.98+0.75×3.14=2.35+0.97
=2.35+.98
Percentage of area of windshield covered by wiper=3.3×100/3.9=84.61
hence percentage of area of windshield covered by wiper is 85percent(approx)
plz mark brainlest
Two news papers are comparing sales from last year. Which expression describes the number of newspapers the tribune sold
•The post sold 34,859 copies
•The tribune sold one and a half times as many copies as the post.
A. 34,859 x 1/2
B. 34,859 divided by 1/2
C. 34,859 x 1 1/2
D. 34,859 divided by 1 1/2
Answer:
C. 34,859*1 1/2
hope ThIs hElPz : \
Pleaseeeee help!!!!! with also the steps.. Question: Find the solution for a system of equations by elimination
3x – 6y = 12
5x - 2y = 10
Answer:
hope this helps......
put the steps, for changing the formula for sector area of a circle in degrees to the formula for the sector area of a circle in radians, in the correct order
Answer:
see explanation
Step-by-step explanation:
The area (A) of a sector is calculated as
A = area of circe × fraction of circle
= πr² × [tex]\frac{0}{360}[/tex] ← where θ is in degrees
[ note that 360° = 2π radians ], then
A = πr² × [tex]\frac{0}{2\pi }[/tex] ← where θ is in radians
( Cancel π on numerator/ denominator )
A = [tex]\frac{1}{2}[/tex]θr²
9514 1404 393
Answer:
top down: 2, 4, 1, 7, 6, 5, 3, 8
Step-by-step explanation:
It appears the expected order may be ...
__
Write the formula for a sector area of a circle with central angle, θ, in degrees.
[tex]\textit{Area of a Sector}=\dfrac{\theta}{360^{\circ}}\cdot\pi r^2[/tex]
Replace 360° with 2π radians.
[tex]\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}[/tex]
Replace the angle ratio in degrees with the angle ratio in radians.
[tex]\textit{Area of a Sector}=\dfrac{\theta}{2\pi}\cdot\pi r^2[/tex]
Simplify by cancelling
[tex]\textit{Area of a Sector}=\dfrac{1}{2}\theta r^2[/tex]
In a study of distances traveled by buses before the first major engine failure, a sample of 191 buses results in a mean of 96,700 miles and a population standard deviation 37,500 miles. Calculate the appropriate test statistic to test the claim that the mean distance traveled before a major engine failure is more than 90,000 miles.
Answer:
The test statistics is [tex]z = 2.47[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 191 \ buses
The sample mean is [tex]\= x = 96 700 \ miles[/tex]
The population standard deviation is [tex]\sigma = 37 500 \ miles[/tex]
The null hypothesis is [tex]H_o : \mu = 90 000[/tex]
The alternative hypothesis is [tex]H_a : \mu > 90 000[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{96700 - 90 000 }{ \frac{37500}{\sqrt{191} } }[/tex]
=> [tex]z = 2.47[/tex]
34203985.2 write this as a cash price in dollars
Answer:
$34,203,985.20
Step-by-step explanation:
Which expression is equivalent to 6-(-8)?
-6+8
-6+(-3)
6+(-8)
6 + 8
A giraffe was born
measuring 11/2
meters tall. After 6
months, it had grown
60 centimeters. By
the end of the year, it
had grown another 72
centimeters. How
many centimeters tall
is the giraffe now?
. Rachel used 4.5 cups of apple juice in a holiday fruit punch that serves 12 people. Art used 4.75 cups of apple juice in a holiday fruit punch that serves 10 people. How much more apple juice is in one serving of Art's holiday punch? *
Answer: the 10 people served .1 more cups per serving than the 12 people
Step-by-step explanation:
4.5/12=.375
4.75/10=.475
The difference between .375 and .475 is .1
Can u help me with this :p
Answer:
12.5
10
Step-by-step explanation:
10(1/2+3/4)
5+7.5
12.5
10(1/2)+(8(3/4)-1)
5+(6-1)
5+5
10
a hotel provides free parking for guests and charges 225 per night passion y equals total cost to stay at the hotel Annex equals number of night
help pls important!!!!!!!!!
Answer:
y = 225(x)
Step-by-step explanation:
Given:
Cost per night = 225
Total cost = y
Number of nights = x
Computation:
Total cost = (Cost per night)(Number of nights)
So,
y = 225(x)
The forces exerted on an object are shown.
A box has an arrow pointing right labeled 6 N and an arrow pointing left labeled F.
If the object moves right, which of the following is a possible value of F?
Answer:
The possible value of F must be 5N.
Step-by-step explanation:
A vector quantity is a quantity that comprises of both magnitude and direction. And an example of a vector quantity is force.
In the given question, the pointing arrows are two forces in action, pushing the box in opposite directions.
If the values of both forces pointing left and right are equal, the box would not move. This implies that the two forces are balanced, so the box would be at a state of dynamic equilibrium.
If the box moves to the right, it implies that the force F is less than that pointing right i.e 6N > F.
Therefore, the possible value of F is less than 6N. Thus, F = 5N.
At what point do the lines y=x-4 and 2x+y=2 intersect?
Answer:
(2, -2)Step-by-step explanation:
Given
y = x - 4 2x + y = 2Solving by substitution
2x + (x - 4) = 23x - 4 = 23x = 6x = 2Then finding y
y = x - 4y = 2 - 4y = -2Intersection point is (2, -2)
Question 3 (10 points)
(01.07 MC)
The mass of the Eiffel Tower is about 9.16 ⋅ 106 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 108 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)
Answer:
7.96 × 10⁸ kg
Step-by-step explanation:
Step 1: Given data
Mass of the Eiffel Tower (mE): 9.16 × 10⁶ kgMass of the Golden Gate Bridge (mG): 8.05 × 10⁸ kgStep 2: Determine how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower
To determine this ratio, we need to do the following subtraction.
mG - mE = 8.05 × 10⁸ kg - 9.16 × 10⁶ kg = 7.96 × 10⁸ kg
The Golden Gate Bridge has approximately 7.96 × 10⁸ kg more than the Eiffel Tower.
. To find the exact answer, Marisa created the diagram below. How could she add marks to partition the line evenly? Partition the line and calculate the missing values.
Answer: first box - ($6.50x6) the answer is $39.00. Second box - ($6.50x4) $26.00, the answer is $65.00
Also, put your pinky on the line and draw a line next to your pinky and write 10%.
She will save 26.00
she will have to pay 39.00
Step-by-step explanation:
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent
Answer:
33.33%
Step-by-step explanation:
We need to calculate the unit selling price and cost of each cosmetics.
If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;
x = 1 cosmetic
since 360 = 12 cosmetic
cross multiply
12x = 360
x = 360/12
x = 30
Hence the unit cost price of the cosmetics will be Rs. 30
Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)
Selling price per unit = Rs. 40
Cost price per unit = Rs. 30
percent gain = SP-CP/CP * 100%
percent gain = 40-30/30 * 100
percent gain = 10/30 * 100
percent gain = 100/3
percent gain = 33.33%
Hence the percentage gain is 33.33%
please help???
really need help I will mark brainliest
Answer:
x= 88
Step-by-step explanation: you do (88-44) making 44 then add 48+ 44 + 88 = 180.
x = 88
A box contains 1 3/4 Pasta how many ounces of pasta are in the box
Answer:
Step-by-step explanation:
is there more information to the question??
fill in the box ............
Answer: 13 times as much
Step-by-step explanation:
8.45/0.65
A dinner table is 5 feet wide and 7 feet long.
Find the area of the table.
A.
75
B.
35
C.
30
D.
144
Solve the system of equations given below.
y - 15 = 3
-2.1 + 5y = -3
Answer:
1) y=18
2)y=-0.18
Step-by-step explanation:
1) y-15=3. Add 15 on both sides.
y=18
2)-2.1+5y=-3. Add 2.1 on both sides
5y=-0.9. Divide 5 on both sides
y=-0.18
4 cups are needed for 12 people how many cups are needed for 4 people
Answer:
3
Step-by-step explanation:
12/4=3
Answer:
4/3 cups or 1 1/3 cups
Step-by-step explanation:
4 cups x cups
----------------- = --------------
12 people 4 people
Using cross products
4 * 4 = 12x
16 = 12x
Divide each side by 12
16/12 = x
4/3 = x
1 1/3 cups
A number that is multiplied by a variable is called?
Answer:
A number that is multiplied by a variable is called a coefficient.
Which of the following are solutions to the equation below?
Check all that apply.
3x2 + 27% + 60 = 0
O A. 4
O B. -27
O C. -5
O D.-4
O E. 5
What is it?
Answer:
its B. -27
Step-by-step explanation:
The letters in the word SANTA CLAUS are printed on identical index cards with one letter per card. The ten cards are then placed in a hat, and one card is randomly chosen (without looking) from the hat. The chance process we are interested in is what letter is on the selected card.
The missing part:
Make a model of probability showing the set of outcome and the probability value of each outcome.
Answer:
Step-by-step explanation:
From the given information:
a) From the word SANTA CLAUS, outcomes are all distinct letters.
This implies that the outcomes are S, A, N, T, C, L, U, S
For S, N, T, C, L, U, S letters, each of them is repeated once.
Thus, their respective probability = [tex]\dfrac{1}{10}[/tex]
A is repeated thrice, so probability for A = [tex]\dfrac{3}{10 }[/tex]
Using the probability distribution table; we have the following.
outcome S A N T C L U S
probability [tex]\dfrac{1}{10}[/tex] [tex]\dfrac{3}{10 }[/tex] [tex]\dfrac{1}{10}[/tex] [tex]\dfrac{1}{10}[/tex] [tex]\dfrac{1}{10}[/tex] [tex]\dfrac{1}{10}[/tex] [tex]\dfrac{1}{10}[/tex] [tex]\dfrac{1}{10}[/tex]
what are ratios? and how do you multiply them? someone help please
Answer:
ratio is a comparison of two or more numbers that indicates their sizes in relation to each other
Step-by-step explanation: how to multiply
The happy apple farm has 560 apple trees. Each apple tree has 169 apples. How many apples are on all the trees together?
Answer:94,
Step-by-step explanation:
Bill conducts a study during which he compares two, independent groups and he gets a significance value of .16 (i.e., p=.16). He looks at the means of the groups and sees the Group 1 Mean is 70 and the Group 2 mean is 77. He concludes they are different. (a) Why is Bill wrong? (b) What exactly does his p-value mean, in this instance?
Answer:
P-value is a parameter to compare with the significance level in order to make decisions about rejecting or not the hypothesis
Step-by-step explanation:
When you are developing a hypothesis test, in order to compare two means ( μ₁ and μ₂ ) you have two hypothesis
Null Hypothesis H₀ μ₁ = μ₂
And depending on the problem statement, the alternative hypothesis could be
Alternative Hypothesis Hₐ (1) μ₁ > μ₂
(2) μ₁ < μ₂
(3) μ₁ ≠ μ₂
Now if the result of the test determines that H₀ is rejected you accept in case
(1) μ₁ > μ₂
(2) μ₁ > μ₂
(3) μ₁ ≠ μ₂
In any case, you need a confidence Interval, and as consequence you established a significance level to do your test. These two concept defines the acceptance and the rejection region. Just for instance
CI = 90% means that the acceptance region is 90 %, and at the same time, the rejection area is 10 %. That 10 % will be used as follows,
Case 1 you are developing a one tail-test to the left ( side of the curve )
Case 2 you are developing a one tail-test to the right
Case 3 you are developing a two-tail test ( in that case you need to split α into two equal areas one for each tail.
Now P-value is a tool for decision is an area that you can compare with α to accept or reject H₀.
In our particular case suppose we are testing
H₀ μ₁ = μ₂
Hₐ μ₁ < μ₂
Let´s say CI = 95 then α = 5 % α = 0,05
And we get P-value = 0,16
Then area 0,16 > 0,05 Then we are in the acceptance region
(that condition really implies that z(s) < z(c)
Which of the following situations could match this formula? (There may be more than one correct answer.)
500=100x
Question 4 options:
A) An object travels 500 miles at a rate of 100 miles per hour.
B ) An object travels 500 feet for 100 seconds.
C ) An object travels at 500 miles per hour for 100 hours.
D ) An object travels 100 inches per minute for 500 minutes.
The given expression is 500=100x, situations A could match this formula.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that,500=100x
If the distance is d, velocity is v and time is t then, The formula for the distance is,
Distance = velocity × time
d=vt
The distance is in miles, v is in miles per hour and t is an hour,
miles = miles/hour × hour
The correct representation of the expression is,
If the time in an hour will be x,
An object travels 500 miles at a rate of 100 miles per hour.
Distance = velocity × time
d=vt
500=100x
Thus, the given expression is 500=100x, situations A could match this formula.
Learn more about the distance here:
brainly.com/question/26711747
#SPJ2
What is the square root of 3
Answer:
1.73205080757
Step-by-step explanation:
Th4t's the answer