Answer:
63%, 0.64, 13/20
Step-by-step explanation:
Convert to decimal0.64 = 0.6413/20 = 0.6563% = 0.63Therefore, the answer is 63%, 0.64, 13/20Brayden and his friends are driving across the US from New York to Los Angeles at a constant speed without stopping. When they have driven for 10 hours, they are 1700 miles away from Los Angeles. When they have driven for 15 hours, they are 1500 miles away from Los Angeles.a) Find a linear function that models the remaining distance, DD, to Los Angeles as a function of the amount of time, t, that Brayden and his friends have been driving.
Answer:
d=-40t+2100
Step-by-step explanation:
Let d be the distance between New York to Los Angeles and speed of driving is v miles/hour.
As when they have driven for 10 hours, they are 1700 miles away from Los Angeles, so the distance covered in 10 hours is d-1700 miles.
Similarly, the distance covered in 15 hours is d-1500 miles.
So, the distance covered in 5 hours = (d-1500)-(d-1700) =d-1500-d+1700=200 miles.
As speed = distance/time,
So the speed of driving, v=200/5=40 miles/hour
Let d (in miles) be the remaining distance at any time instant t (in hour) and the linear relation between d and t is
d=at+b ...(i)
where a and b are constants.
When they have driven for 10 hours, they are 1700 miles away from Los Angeles, so putting t=10 and d=1700 in the equation (i), we have
1700=10a+b
b=1700-10a...(ii)
Similarly, when they have driven for 15 hours, they are 1500 miles away from Los Angeles, so
1500=15a+b
1500=15a+1700-10a
1500-1700=5a
-200=5a
a= -200/5
a= -40
From equation (ii), we have
b=1700-10(-40)=1700+400=2100
From equation (i), the required equation is
d=-40t+2100
Hence the required linear function is d=-40t+2100.
Will the border line of the graph of y < - x2 + 4x + 5 be a solid line or a broken
line?
Is the point (0,0) part of the solution of y<-x2 +4x+5
Step-by-step explanation:
When the inequality uses < or >, it is a broken line.
For the point (0, 0) it means that x = 0 and y = 0.
Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.
Yes, the point (0,0) is part of the solution of y < - x² + 4x + 5.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To determine the border line of the graph of y < - x² + 4x + 5
A broken line results from the inequality using < or >.
x and y are both equal to zero at the coordinates (0, 0).
Substitute the values of x = 0 nad y = 0 in the inequality y < - x² + 4x + 5
So, (0) < (0)² + 4(0) + 5
Since (0) < (0)² + 4(0) + 5 is valid,
Thus, the coordinates (0, 0) are part of the solution.
Learn more about inequalities here:
brainly.com/question/20383699
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can someone please help me
Answer: 19
Step-by-step explanation:
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 15001500 hours and a mean life span of 16,00016,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 18,09918,099 hours.
Answer:
0.0809
Step-by-step explanation:
Given that :
Mean(m) = 16000
Standard deviation (s) = 1500
Probability that the life span of the monitor will be more than 18,099
P(x > 18099)
Using the Zscore formula :
Zscore =(x - m) / s
Zscore = (18099 - 16000) / 1500
Zscore = 2099 / 1500
Zscore = 1.399
P(Z > 1.399)
Using the Z probability calculator :
P(Z > 1.399) = 0.080906
= 0.0809
Teen Court is a juvenile diversion program designed to circumvent the formal processing of first-time juvenile offenders within the juvenile justice system. An article reported on a study in which offenders were randomly assigned either to Teen Court or to the traditional Department of Juvenile Services method of processing. Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period, whereas 11 of the 54 Department of Juvenile Services individuals did so. Does the data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals who do so
Answer:
Z-statistic = 1.4017 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals
Step-by-step explanation:
Step(i):-
Given first sample size (n₁ ) = 57
Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period
First sample proportion
[tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157[/tex]
Second sample proportion
[tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037[/tex]
Null Hypothesis : p₁⁻ = p₂⁻
Alternative Hypothesis : p₁⁻ ≠ p₂⁻
Step(ii):-
Test statistic
[tex]Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]
where
[tex]P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2} }{n_{1} +n_{2} }[/tex]
[tex]P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612[/tex]
Q = 1 - P = 1 - 0.2612 = 0.7387
[tex]Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }[/tex]
Z = 1.4017
Level of significance ∝ =0.05
The tabulated value Z₀.₀₅ = 1.96
Z-statistic = 1.4017 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals
3 + 5 is ___ units from 3, in the _______ direction.
Answer:
7 unit
Step-by-step explanation:
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9 cm
14 cm
If the lengths of all 4 sides of the rectangle are doubled,
then the area will
Answer:
I think it's 149cm
Step-by-step explanation:
I just doubled the numbers and multiplied them
Identify the pattern for the following sequence. Find the next three terms in the sequence. . a. -15, -11, -7, -3, ____, _____, _____,...
A: Subtract 4; -7, -11, -15
B. Add 4; 2, 6, 10
C. Subtract 4; 1, 5, 9
D. Add 4; 1, 5, 9
Please select the best answer from the choices provided.
Answer: c
Step-by-step explanation:
Answer:
B you add 4. a negative plus a positive is a negative. -15 +4 is -11
Which distance measurement is the most precise?
A. 10 kilometers
B. 2.54 centimeters
C. 100 meters
D. 26.3 miles
Answer:
B
seems to be the most precise. I don't know what it means by precise but B is the lucky guess
7x-7=2x-1 what is x please help
Answer:
x= 1.2
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
Step 2: Add 7 to both sides.
Step 3: Divide both sides by 5.
Hope this helped :)
Answer:
7x+=2x-1
7x+2x=7+1
9x=8
x=9-8
x=1
Solve the following logarithmic equation.
which statements are true about points A, B, and C? check all that apply.
Answer:
2
Step-by-step explanation:
2 seems to be the only one that is correct
Correct Statements: (modified the statements that are incorrect)
1. The coordinates of point A are (-3, 3)
2. Already correct
3. The coordinates of point C are (-2, -2)
4. Point B is the closest to the y-axis (only one away)
5. Point A is 3 away and Point B is 1 away
(sorry if this is confusing but this is what I got)
If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire? Explain or show your reasoning.
A Hummer gets 300 miles on 20 gallons of gas, how many miles can it be driven on 50 gallons of gas?
Answer:
750 miles
Step-by-step explanation:
Step one:
Given data
we are told that the hummer gets to 300miles on 20 gallons of gas
Required
The distance that the Hummer can go on 50 gallons of gas
Step two:
if 20 gallons gets to 300miles
the 50 gallons will get to x miles
cross multiply we have
[tex]x= 50*300/20\\\\x=15000/20\\\\x=750 miles[/tex]
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Find the value of x if DE is a midsegment.
B
D
26
х
A
E
C
Answer:
my names emily too!!!!
Step-by-step explanation:
4.23m 4.27m 3.98m his longest jump was how much longer compared to his shortest jump
Answer:
.29
Step-by-step explanation: Subtract first by last
Answer:
0.29m longer
Step-by-step explanation:
Longest jump = 4.27m
Shortest jump = 3.98m
4.27 - 3.98 = 0.29m
The following list gives the number of public libraries in each of 11 cities. 12, 3, 5, 4, 7, 8, 11, 13, 10, 6, 2 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x
Answer:
1( ×=2
2( x=5
ekekjejew
1. Is an arithmetic sequence a function?
Sometimes, it depends on the arithmetic sequence.
Yes, always.
Not enough information is given.
No, never
Yes, always.
A sequence is a function that takens a positive integer and maps it some other number. For any integer you plug into the sequence, you only ever get one output.
Solve the given equation for v.
Answer:(3t)^2
Step-by-step explanation:
Steps below
Write an equation that represents the tile pattern in the table below
Answer:
y=3x+2
Step-by-step explanation:
First find the slope or m in the line of equation y=mx+b
to find slope you need two points, plug in to y2-y1 / x2-x1
so lets use points (0,2) (1,5)
5-2 / 1-0 = 3
m=3
we have y=3x + b
now we find b by pugging in a point, let's use (0,2)
2 = 3(0) + b
b= 2
y=3x+2
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Isaiah already has 16 dollars. Every hour (x) that he works at the bakery, he earns another 4 dollars (y). How many total dollars will Isaiah have after 13 hours of work?
Select the correct graph of the function y = –1/8(x – 1)2 – 4 below.
Question 8 options:
A)
image
B)
image
C)
image
D)
image
Step-by-step explanation:
The given function is :
[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)
It is an equation of parabola. The vertex form for equation of parabola is given by :
[tex]y=a(x-h)^2+k[/tex] ...(2)
Here,
Vertex = (h,k), axis = h and rate = a
From equation (1) and (2) :
a = -1/8, h = 1 and k = -4
The atached graph shows the graph for the given equation.
Troy runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Troy estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?
Yes
No it is much high
No it is much low
The graph of 2x-7y=7 is shown which point is a solution of the equation
Answer: (-1,0)
Step-by-step explanation:
PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=
Answer:
b=-0.0019a + 215
at 2500 ft, b=210.25 degrees F
Step-by-step explanation:
First find the slope. a=altitude, b = temperature
slope is b2-b1 / a2-a1
points are (8200, 199.42) and (4700, 206.07)
(206.07 - 199.42) / (4700-8200)
= 6.65/ -3500
= - 0.0019
we have b = -0.0019a + intercept
plug in a point to find intercept
199.42 = -0.0019*8200 + intercept
intercept = 199.42 + 15.58 = 215
b=-0.0019a + 215
at a=2500 ft, substitute into equation
b= -0.0019*2500 + 215
= -4.75 + 215
= 210.25 degrees F
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Pls help me answer this question for my homework
Answer:
4
Step-by-step explanation:
2 goes to both A and B which makes it not a function because if I remember right the domain isnt allowed to repeat.
1. The Honda Accord uses 192 gallons of gasoline to travel 6 miles. At this
rate, how many miles can the vehicle travel per gallon of gasoline? *
A1152 miles
B32 miles
C0.031 miles
D198 miles
Write the equation of a parabola containing the point 6,3 with vertex at 5,-3
Answer:
y = 1/3 x 2 +4 x + 15
Step-by-step explanation:
y = a (x - h)2 + k
where (h,k) are the coordinates of the vertex and a is a multiplier
here (h,k) = ( - 6, 3)
y = a ( x + 6)2 + 3
to find a substitute (12,9) into the equation
9 = 18 a + 3
18 a = 9 - 3 = 6 a = 6/18 = 1/3
y = 1/3 (x + 6)2 + 3
distributing gives
y = 1/3 (x2 + 12x + 36) + 3
y = 1/3x2 + 4x + 15