Answer:
H = 1/30
H = 0.0333
0.033
Step-by-step explanation:
The time spent waiting at a traffic light can be considered a random variable with values from 0 seconds,
it’s green when you approach and can go on through, to 30 seconds with the following distribution shape
The entire area under the distribution curve must be 1.
Let assume the Shape is rectangle
Given
Time taken from 0s to 30s = 30s - 0s = 30s
To find height of the distribution?
Let H = the height of the distribution
Based on the above assumption;.
H * 30 = 1 --- make H the subject of formula
H = 1/30
H = 0.0333
To three decimal places is 0.033
Hence, the calculated height of the distribution is 0.033what is the following product ? (sqrt12+sqrt6) (sqrt6-sqrt10)
Answer:
6√2-2√30+6-2√15
Step-by-step explanation:
(√12+√6)(√6-√10)=
√12*6- √12*10+√6*6-√6*10=
6√2-2√30+6-2√15
Factor 4x^2+12x+5 by applying the distributive property
Answer:
(2x + 5)(2x + 1)
Step-by-step explanation:
4x^2 + 12x + 5
=4x^2 + 2x + 10x + 5
=2x(2x + 1) + 5(2x + 1)
=(2x + 5)(2x + 1)
Hope this helps!
Please answer this question ! thank you so much !! Will give brainliest !!
Answer:
y = -7x + 14
Step-by-step explanation:
m=1/7
m perp = -7
y = mx + b
-7 = -7(3) + b
14 = b
y = -7x + 14
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the
United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have?
Round to the nearest cent.
1 European euro = 1.3687 US dollars
44.70 US dollars
73.06 US dollars
136.87 US dollars
140.41 US dollars
Answer:
44.70 USD
Step-by-step explanation:
250÷1.3687
=182.655074158
182.655074158-150
=32.655074158
32.655074158×1.3687
=44.6950000001
The 44.70 US dollars Phelan now has if Phelan exchanged 250 US dollars for euros option (A) is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip.
After returning to the United States he converts his money back to US dollars. H
Let x be the total original 250 US dollars Phelan now have:
The value of x can be found as follows:
x = (250/1.3687 - 150)x1.3687
After simplification:
x = 44.69 ≈ 44.70 US dollars
Thus, the 44.70 US dollars Phelan now has if Phelan exchanged 250 US dollars for euros option (A) is correct.
Learn more about the unit conversion here:
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What two decimals are equivalent to 5.300.
Answer:
Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount). For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc. Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent. Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.
Answer:
Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount). For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc. Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent. Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.
If you roll two fair dice how many different ways can you obtain a different number on each side
Answer:
30
Step-by-step explanation:
You can have any number on the first die, and any number besides the first one on the second. 6*5=30
A homeowner finds that there is a 0.15 probability that a flashlight does not work when turned on. If she has three flashlights, find the probability that at least one of them works when there is a power failure. Find the probability that the second flashlight works given that the first flashlight works.
Answer:
A) 0.386
B).0.325
Step-by-step explanation:
probability p will not work = 0.15
Q probability w5ill work = 0.85
Number of flashlight = 3
Probabilty of at least one=
1- probability of none
But probability of none= 3C0(p)^0(q)^3
= 1*(0.15)^0(0.85)^3
= 1*1*(0.614)
= 0.614
Probability of at least one=1-0.614
= 0.386
Probability of two flashlight work
= 3C1(0.15)^1(0.85)^2
= 3*(0.15)*(0.7225)
= 0.325
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set y = t and solve for x in terms of t.) −3x + 5y = −19 3x + 4y = 1 4x − 8y = 28
Answer:
x = 3 and y = -2
Step-by-step explanation:
We have the following system:
-3 5 | 19
3 4 | 1
4 -8 | 28
We divide the first row by -3 and it would be:
1 -1.67 | 6.33
3 4 | 1
4 -8 | 28
Now, we multiply by 3 and subtract the second row and we have:
1 -1.67 | 6.33
0 9 | -18
4 -8 | 28
Now, we multiply by 4 and subtract the third row and we have:
1 -1.67 | 6.33
0 9 | -18
0 -1.33 | 2.67
divide the second row by 9:
1 -1.67 | 6.33
0 1 | -2
0 -1.33 | 2.67
multiply the second row by 1.33 and add it to the third row and it remains:
1 -1.67 | 6.33
0 1 | -2
0 0 | 0
multiply the second row by 1.67 and add it to the first row and we have:
1 0 | 3
0 1 | -2
0 0 | 0
Therefore, from here we can deduce that x = 3 and y = -2
Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at an 8% annual interest rate, compound annually, in order to have $40,000 in the fund at the end of 10 years?
Answer:
$18,527.74
Step-by-step explanation:
Each year, the fund amount is multiplied by 1+8% = 1.08. After 10 years, it will have been multiplied by that factor 10 times, 1.08^10. For some principal P deposited now, we want ...
P(1.08^10) = $40,000
P = $40,000/1.08^10 ≈ $18,527.74
A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes 9 revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P ? (Round your answer to one decimal place.)
Answer:
The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km
Step-by-step explanation:
We are given that a point 1 km from point P on the shoreline would form a a right triangle with the lighthouse, point P, and the point 1 km from point P.
The distance from that point to the lighthouse would be the hypotenuse.
That would also be the radius of the circle the beam of light is making at that point.
To find the hypotenuse
[tex]Hypotenuse^2 = Perpendicular^2 +base^2 \\r^2 = 1^2 +2^2\\r=\sqrt{1^2+2^2}\\r=2.236[/tex]
Circumference =[tex]2 \pi r = 2 \times 3.14 \times 2.236=14.05 km[/tex]
The beam of light is making at point 14.05 km away
One revolution: [tex]\frac{60}{9}= 6.67[/tex] sec per revolution
Speed = [tex]\frac{14.05}{6.67}=2.1064[/tex]
Hence The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km
Round 4/7 to the nearest tenth.
Answer:
0.6
Step-by-step explanation:
4/7 can be considered a suspended division problem. To find the answer, 4 must be divided by 7. This yields the result 0.57142, which can be rounded to 0.6.
What is the difference in the length between a 1-1/4-inch button and a 3/8-inch button?
Answer:
7/8
Step-by-step explanation:
1 1/4 - 3/8
5/4 - 38
0/8 - 3/8
7/8
A rectangular swimming pool is 17 meters long, 13 1/2 meters wide, and 2 1/2 meters deep. What is its volume?
Answer: 573.75 meters^3
Step-by-step explanation:
Volume = Length x width x height
Volume = 17 x 13.5 x 2.5
write an equation (a) in slope intercept form and (b) in standard form for the line passing through (-3,6) and parallel x+2y=5
Answer:
y = -1/2x +9/2x +2y = 9Step-by-step explanation:
(b) The given line is in standard form, so the equation you want will be similar, but with a different right-side constant. That constant is found by putting the coordinates of the given point into the left-side expression.
x + 2y = constant
(-3) +2(6) = constant = 9
The standard form equation of the parallel line is x +2y = 9.
__
(a) To put this equation in slope-intercept form, solve for y.
2y = -x +9
y = (-1/2)x +9/2
A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 15 15 in. How can you find the radius if you know the diameter of the sphere? Find the volume of the bowl. Use 3.14 for pi π.
Enter a positive common factor ( other than 1) of 35 and 42
¿Qué es y para que nos sirve la jerarquía de operaciones en la vida cotidiana?
for example, si te pones los zapatos antes que los pantalones, te costará mucho vestirte
The volume of a cube is 343 cubic feet. What is the side length of the cube
A. 12 feet
B. 23 feet
C. 7 feet
D. 2 feet
Steps:
Shape: Cube
Solved for side length of the cube
Volume: 343 cubic feet
Formula: a=V⅓
Description:
Using the formula for the volume of the cube a=V⅓. We are going to calculate the side length of the cube. Your answer will be 7 feet. Meaning the correct answer for this question is C.
Answer: a≈7ft
Please mark brainliest
Hope this helps.
Who knows the answer to the picture?
Step-by-step explanation:
The way i like to remember it is that the exponent inside of the radical will be the numerator of the fraction and the index of the radical will be the denominator so the answer is 2^(-5/3).
A map has a scale of 3cm 7km if two cities was 8 cm on the nearest tenth of a kilometer
Answer:
18.7 km
Step-by-step explanation:
3 cm >>> 7 km
1 cm >>> 7/3 km
8 cm >>> 8*7/3 km= 18.7 km
Answer:
18.7
Step-by-step explanation:
Which of the following is the solution to 3x - 1>=12
Answer:
The solution to [tex]3x\:-\:1\ge 12[/tex] is [tex]x\ge \frac{13}{3}[/tex].
Step-by-step explanation:
An inequality is a mathematical relationship between two expressions and is represented using one of the following symbols: inequalities involving "<", "≠" or ">" are referred to as "strict inequalities", while inequalities involving "≤" or "≥" are not.
Solving an inequality means finding all of its solutions. A solution of an inequality is a number which when substituted for the variable makes the inequality a true statement.
To find the solution to [tex]3x\:-\:1\ge 12[/tex]
[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\\\3x-1+1\ge \:12+1\\\\\mathrm{Simplify}\\\\3x\ge \:13\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}\ge \frac{13}{3}\\\\\mathrm{Simplify}\\\\x\ge \frac{13}{3}[/tex]
What’s the correct answer for this?
Answer:
(AE )(EB)=(CE)(ED)
Step-by-step explanation:
The lines (AE )(EB)=(CE)(ED)
Line AE is congruent with line CE and Line EB is congruent with ED
A line is congruent when they assume the same shape and form but only they can be flipped;
AB and CD are both line segments.
Answer:
fourth option
Step-by-step explanation:
Given two intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
AE(EB) = CE(ED)
The area of the parallelogram is 56 cm2. True or false
Answer:
True
Step-by-step explanation:
Solve the triangle for all missing sides, rounded to the nearest tenth, and angles, rounded to the nearest degree.
Answer:
x=32 y=416 M<ABC=158°
Step-by-step explanation:
Find the distance between the points (6,-4) and (-3,-4) .
The right answer is 9 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment:)
The life time of a certain brand of bulbs produced by a company is normally distributed, with mean 210 hours and standard deviation 56 hours.what is the probability that a bulb picked at random from this company product will have a life time of at least 300 hours?
Answer:
5.37% probability that a bulb picked at random from this company product will have a life time of at least 300 hours
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 210, \sigma = 56[/tex]
What is the probability that a bulb picked at random from this company product will have a life time of at least 300 hours?
This is 1 subtracted by the pvalue of Z when X = 300. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{300 - 210}{56}[/tex]
[tex]Z = 1.61[/tex]
[tex]Z = 1.61[/tex] has a pvalue of 0.9463
1 - 0.9463 = 0.0537
5.37% probability that a bulb picked at random from this company product will have a life time of at least 300 hours
Which property of addition is shown? (3 + 9) + 8 = 3 + (9 + 8)
Answer:
Associative Property of Addition
Step-by-step explanation:
Looking at the expression, you can see that the numbers have been grouped differently. Based on the Associative Property of Addition, the sum of the numbers is the same despite the different pairing.
What’s the correct answer for this?
Answer:
B:
Step-by-step explanation:
IN THE ATTACHED FILE
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The requried equations that are equivalent to each other are,
(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.
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.
Given equations,
(A) 2 + x = 5
Simplifying the above expression,
x = 5 - 2
x = 3
Similarly, simplify all the equations,
(B) x = 3
(C) x = -3
(D) x = 11
(E) x = 3
Therefore, equations that give x = 3, after simplification is equivalent equations.
Thus, the requried equations that are equivalent to each other are,
(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.
Learn more about simplification here:
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Find the value of a in the equation below
2sin(1÷4a+20)=√3
Step-by-step explanation:
[tex]sin(1 \div 4a + 20) = \sqrt{3} \div 2 \\ sin(1 \div 4a + 20) =sin 60[/tex]
1÷4a+20=60
1÷4a=4
a=1/160
