Answer:
x=3
Step-by-step explanation:
7x-18=x
Subtract 7x from each side
7x -18-7x = x-7x
-18 = -6x
divide each side by -6
-18/-6 = -6x/-6
3 =x
Given that the commuter used public transportation, find the probability that the commuter had a commute of 60 6060 or more minutes. P ( 60 + minutes ∣ public transportation ) = P(60+ minutes ∣ public transportation)=P, left parenthesis, 60, plus, start text, space, m, i, n, u, t, e, s, space, end text, vertical bar, start text, space, p, u, b, l, i, c, space, t, r, a, n, s, p, o, r, t, a, t, i, o, n, end text, right parenthesis, equals
Complete Question
The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.
[tex]\left|\begin{array}{c|c|c|c|c|c|c}$Transport Mode/Minutes&$Less than 15&15-29&30-44& 45-59&$60 or more &$Total\\---&---&---&---&---&---&---\\$Private vehicle & 636&908&590&257&256&2647\\$Public Transportation&9&54&96&62&108&329 \\$Other&115&70&23&7&7&222\\---&---&---&---&---&---&---\\$Total&760&1032&709&326&371 &3198 \end{array}\right|[/tex]
Answer:
[tex]\dfrac{108}{329}[/tex]
Step-by-step explanation:
From the table above
Total Number of commuters who used public transportation=329
Number of commuters who spent 60 or more minutes on public transportation=108
Therefore:
Given that a commuter used public transportation, the probability that the commuter had a commute of 60 or more minutes:
P ( 60 + minutes ∣ public transportation ) = [tex]\dfrac{108}{329}[/tex]
What is the period, phase shift, amplitude, and vertical shift of:
Y=1/2sin(theta/4-2pi/3)+2
Answer:
Period = 8π
Phase shift = 2π/3
Amplitude = 1/2
Vertical shift = 2
Step-by-step explanation:
y = A sin((2π/T)θ − B) + C
where A is the amplitude,
T is the period,
B is the phase shift,
and C is the vertical shift.
y = ½ sin(¼θ − 2π/3) + 2
So A = 1/2, T = 8π, B = 2π/3, and C = 2.
Chantel is running for a rally race she ran 2,000 feet every day for six days how many yards did Chanel run
Answer:
4,000 yards
Step-by-step explanation:
2,000 ft * 6 days = 12,000 feet ran in total
Conversion: 3 feet = 1 yard
12,000 ft = 4000 yards
how many solutions does the equation have
y=2x^2+3x-10=0
Answer:it has two
Step-by-step explanation: x =(3-√89)/4=-1.608
x =(3+√89)/4= 3.108
Can u pls awnser the following :(
Answer:
25% is .25
75% is .75
20% is .2
100% is 1
37.5% is .375
62.5% is .625
87.5% is .875
12.5% is .125
Step-by-step explanation:
Remember DeeP
D. __. ____ P
Decimal. Percent
You move over two decimal places to the left if you want to convert 35%, which is .35.
You move over two decimal places to the right if you want to convert .45 which is 45%.
The area of a rectangle is given by A(x) = x2 + 5x with x being the height and x + 5 being the base. If the area is 14, what is the only viable solution for the height? Why are there not two solutions?
Answer:
See below.
Step-by-step explanation:
A(x) = x^2 + 5x
A(x) = x^2 + 5x = 14
x^2 + 5x - 14 = 0
(x + 7)(x - 2) = 0
x + 7 = 0 or x - 2 = 7
x = -7 or x = 2
x is the height of a rectangle.
The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.
The only viable solution for the height is x= 2, because height cannot be a negative value.
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
What is Quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]
Given,
Area of the rectangle = [tex]x^{2} +5x[/tex] = 14
Then,
[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]
Therefore x = -7 and 2
But the Height cannot be negative therefore x = 2
Hence, only viable solution for the height is x= 2, because height cannot be a negative value.
Learn more about Rectangle, Area and Quadratic equation here
https://brainly.com/question/12555839
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Body Mass Index (BMI) is given by the formula BMI=705W/H2 , where W is the weight of a person in pounds, and H is their height, measured in inches. If a person is 6 feet 3 inches tall, and weighs 209 pounds, what is their BMI? Round your answer to the nearest tenth.
Answer:
BMI = 26.1
Step-by-step explanation:
The body mass index is given by the below formula as :
[tex]BMI=\dfrac{705\times W}{H^2}[/tex]
Here,
W is the weight of a person in pounds and H is height measured in inches.
If height of a person is 6 feet 3 inches, it means its height is 75 inches. Its weight is 209 pound.
So, plugging all values we get ,
[tex]BMI=\dfrac{705\times 209}{(75)^2}\\\\BMI=26.1[/tex]
So, the body mass index is 26.1.
I need help ASAP, would really appreciate it, marking first as brainliest.
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Answer:
A and B
Step-by-step explanation:
The lines are both in slope intercept form:
y=Mx+b
Where m is the slope and b is the y intercept.
We have 2 lines:
y=1/3x+3
y=1/3x-2
1/3 is the coefficient of x, which means the slope is 1/3. Both of these lines have the same slope of 1/3. Since they both have the same slope, they are also parallel lines.
Therefore, A: the same slopes and B: parallel lines is correct.
In the photo, the red line is 1/3x+3 and the blue like is 1/3x-2
Please, I don’t get this. You don’t need to do step by step
1.
Equation: (3×n)-7=2 (n is just the missing number)
Solution: n is 3 or just 3
2.
You bought 5 pairs of socks
Explanation:
96-76=20
20÷4=5 pairs of socks (Before tax)
3.
The number is 2
Explanation:
5×n=2(n+3)
5×2=2(2+3)
10=2(5)
10=10
Hope this helps!
How many leaves on a tree diagram are needed to represent all possible
combinations tossing a coin 5 times?
A. 36
B. 16
C. 32
D. 10
Answer: C 32
Step-by-step explanation:
Answer:
C 32
Step-by-step explanation:
What is the mean 1 -6 -6 -7 0 -5 3 -4
Answer:
-3
Step-by-step explanation:
i added up all the numbers then divided by how many numbers there was with what i got by adding them up
Answer:
The mean is -3
Step-by-step explanation:
1 -6 -6 -7 0 -5 3 -4
To find the mean you add up all the numbers and divide by the number of numbers
(1 -6 -6 -7+ 0 -5+ 3 -4)/8 =(-24)/8 = -3
{(0, 2), (3, 3), (8, 7), (2, 2), (3,9) }
What is the domain and range for each set of ordered pairs
Hey!!!
Here's your answer:
Domain:{(0,2,3,8)}Range:{(2,3,7,9)}Hope it will help u.
have a great day .....Michael has a set of five cards shown below. Michael will randomly select a card, not replace it, and then select another card. What is the probability that he selects a prime number and then a 1? *
Step-by-step explanation:
The table is not given, but
The Probability that he selects a prime number = (number of prime number) ÷ (total number of all cards)
And
The probability of selecting a 1 = (total number of 1's)÷(total number of all numbers in the deck).
5/3
Step-by-step explanation:
take the 3 then add it again then you add 3 and get 5/3
About how many times larger is 6.14 x 10-3 than 1.98 x 10-4?
Answer:
About 3.7 times or 4 times.
Step-by-step explanation:
6.14 x 10 - 3 = 61.4-3
61.4 - 3 = 58.4
1.98 x 10 - 4 = 19.8 - 4
19.8 - 4 = 15.8
58.4 ÷ 15.8 = 3.696202531645569620253164556962 ≈ 3.7 times
How to expand (x+3)( x-2), using the F.O.I.L method?
Answer:
x^2+x-6
Step-by-step explanation:
If you follow the picture in the respective order of FOIL you should get this answer.
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade?
Answer:
Probability of choosing one club and one spade = 0.6025
Step-by-step explanation:
Total number of cards= 52 cards
For the first event
Probability of choosing a club
Toatal club = 13 cards
Probability of choosing a club
= 13/52
Probability of choosing a club
= 1/4
Probability of choosing a club
=0.25
For the second event
Probability of choosing a spade
Toatal spade = 13 cards
Probability of choosing a spade
= 13/52
Probability of choosing spadep
= 1/4
Probability of choosing a spade = 0.25
Probability of both = 0.25*0.25
Probability of both = 0.6025
Answer:
D. 0.1275
Step-by-step explanation:
Justo took the Pre-Test on Edg (2020-2021)!!
Find the solution set.
x2 + 16x + 64 = 0
Answer:
(x+8)(x+8)
Step-by-step explanation:
Assuming x2 is x^2
(x+8)(x+8) = x^2 + 16x + 64
Continuation
The Zeros Would Be
x = -8
A bunch of Ashland families have been helping out by making 2 different types of masks. It costs the family $1.70 to buy the supplies to make a mask with elastics and $1.30 to buy the supplies to make a mask that ties. They are selling the masks with elastics for $5.60 and the masks that tie for $5.40. In April, the family spent $37.90 on materials for both types of masks. They sold the masks for a total of $147.20, which they will donate to the Ashland Emergency Fund. How many masks with elastics did they make & sell in April?
Answer:
They made and sold 7 masks with elastics in the month of April.
They made and sold 20 masks that tie in the month of April.
Step-by-step explanation:
Let the number of masks with elastic made and sold be x
And the number of masks that tie made and sold be y
Since the price of making one mask with elastic is $1.70
The total amount spent on making x masks with elastic = 1.7x
The price of making one mask that ties is $1.30
The total amount spent on making the masks that tie = 1.3y
Total cost price = 1.7x + 1.3y = 37.90 (eqn 1)
They are selling the masks with elastics for $5.60 and the masks that tie for $5.40.
Total revenue made from selling x masks with elastic = 5.6x
Total revenue made from selling y masks that tie = 5.4y
Total revenue = 5.6x + 5.4y = 147.20 (eqn 2)
Writing the two equations together
1.7x + 1.3y = 37.9
5.6x + 5.4y = 147.2
Solving the simultaneous equation
x = 7 and y = 20
Hence, they made and sold 7 masks with elastics and 20 masks that tie in the month of April.
Hope this Helps!!!
Which expression is equivalent to 64 − 9x2?
Answer:
it is just 64-18=48
Step-by-step explanation:
you have to just keep 64 the same and do the 9*2. And sum those outcomes.
If a population has a mean of 128 and samples of size 50 from this population have a standard deviation in their sample means of 3.8, then which of the following sample mean would not be within the margin of error when sampling from this population?
A) 119.7
B) 122.8
C) 134.9
D) 135.2
62,394 to the nearest hundred
Answer:
62400
Step-by-step explanation:
Lets ignore everything above 394 because those numbers are the only ones we are focusing on right now.
94 is not less than 50
94 is bigger than or equal to 50
Round up:
394 ---> 400
= 62,400
Answer:
62,400
Step-by-step explanation:
You would round 90 to the nearest hundred which is 400
one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?
Answer:
30 moviegoers
Step-by-step explanation:
1% of 150 is 1.5
20% of moviegoers recommend the movie
1.5 times 20 = 30
what is the answer for log 3 9 =
Answer:
The answer is 2
Step-by-step explanation:
log
3(
9)
3 to what power is equal to 9?
Since 3^2=
9,
log
3
(
9)=2
Hope this helps!
Please mark brainliest :)
Someone help me pleaseeeee
Answer:
36°.
Step-by-step explanation:
To find this, we will simply need to know that the sum of the angles of a triangle is 180°. This means that in order to find the measure of the third angle, we will need to subtract the others from 180°.
180 - 99 - 45 = 36°.
The measure of the third angle is 36°.
In triangle ABC, c is the hypotenuse, 0=25 degrees, and b=3
Find the length of c
Answer:
c approximately equals 3.31
Step-by-step explanation:
Find the circumference of each circle.
Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).
circle diameter radius
A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)
Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).
The circumference of a circle is found using this formula: so the answer is B
Step-by-step explanation:
Imagine math please help
Answer:
The one in the upper left corner
Step-by-step explanation:
it is a good equation and the wording matches the problem
Solve for x. (x+6)(-x+1)=0
Answer:
x=6,1
I hope it helps :)
Help me please help me thank you
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
hi help pleasee ????
Answer:
Your answer is going to Be b
