Answer:
2t+5
Step-by-step explanation:
A bicycle path starts 5 miles due east of an intersection, and continues in a straight line to finish 8 miles due north of the same intersection. Let the intersection be represented by the point (0, 0). Suppose a cyclist rides the path from start to finish in 2 hours. Which parametric equations model the path of the rider?
The parametric equations that models the path of the rider are:
x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8What is a Parametric Equation?This refers to the type of equation that makes use of a parameter to define dependent variables.
Hence, we can see that to model the path of the rider, the parametric equation that can be best used is to model the direction of the bicycle which is moving 5 miles east and then continues 8 miles north, and the fact that they started at rest 0 and the equations to make the model are:
x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8
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Use the distributive property to rewrite each expression in it's equivalent form 9a-3/3 ,Just 3 please
A researcher for a polling organization used a random sample of 1,540 residents in a city to construct a 95 percent confidence interval for the proportion of voters who would vote for candidate Jones. The resulting confidence interval was 0.480 ± 0.025. What is the correct interpretation of the confidence interval?
A proportion of 0.455 and 0.505 of respondents think that Jones has a 95% chance to win.
If 95% of all the voters voted, then Jones would receive between 45.5% and 50.5% of the votes.
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
If we repeatedly sampled voters from this city, taking samples of size 1,540, approximately 95% of those samples would have between 45.5% and 50.5% voting for Jones.
Answer:
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
Step-by-step explanation:
took the quiz
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
What is confidence interval?A confidence interval is a set of values used to estimate an unknown population parameter with a high degree of certainty. It is calculated from a sample of data and takes into account the sample's variability.
The polling organisation is 95% confident that the range of 0.455 to 0.505 accurately represents the proportion of all city voters who would vote for Jones.
This means that if the researcher repeated the sampling process a number of times and created a confidence interval for each sample, 95% of those intervals would contain the true proportion of all city voters who would vote for Jones.
Thus, it does not imply that the true proportion is 95% likely to fall within the interval.
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Quadrilateral A B C D is shown. Angle A is 128 degrees, angle B is 126 degrees, and angle C is 54 degrees.
What is the measure of angle D?
52o
54o
57o
126o
Answer:
What is the measure of angle D?
52o
Angle D = 360-128-126-54 = 52o
Step-by-step explanation: got it right on edge
Since the sum of the angles in a quadrilateral is 360 degrees then the angle D is 50 degrees.
What is a quadrilateral?A quadrilateral is a four sided figure. Examples of quadrilaterals include; square, parallelogram, rectangle, kite etc.
The sum of angles in a quadrilateral is 360 degree hence;
A + B + C + D = 360 (sum of angles in a quadrilateral)
128 + 126 + 54 + D = 360
D = 360 - ( 128 + 126 + 54)
D = 50 degrees
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52° 38° 128 xo degrees
Answer:
x = 142°
Step-by-step explanation:
Since angle x and the 38° angle are supplementary angles, we know that the following is true...
x + 38° = 180°
x = 180° - 38°
x = 142°
In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book, and then reach in and select a notebook, are these independent events? Explain.
Answer:
No, because grabbing the math book changed the odds of grabbing the notebook.
These are not independent events as you didn't replace the first book so that changed the probability that you would draw a notebook second , Option C is the answer.
What is Probability ?Probability is the likeliness of an event to happen.
It is given that there are three math books, two science books, and five notebooks.
Total number of books = 3 + 2 + 5 = 10
The probability of drawing a mathbook is 3 / 10 = 0.3
and then if the mathbook is not replaced then the total outcomes for drawing a notebook changes.
Therefore they are not independent events and Option C is the answer.
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pls and this question will mark u the brainliest
Answer:
96
Step-by-step explanation:
8 × 9 × 8/2 × 3
8 × 9 × 8/6
576/6 = 96
Answer:
96
Step-by-step explanation:
1) 2^3=2*2*2=8
2)8*9*8=576
3)3*2=6
4)576/6 = 96
The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents are provided. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. Two samples are contained in the Excel Online file below. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.
Student’s Parents
College
485
534
650
554
550
572
497
592
Grads
487
533
526
410
515
578
448
469
High School
442
580
479
486
528
524
Grads
492
478
425
485
390
535
a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. population mean math score parents college grads. population mean math score parents high school grads. _____ _____
b. What is the point estimate of the difference between the means for the two populations?
c. Compute the p-value for the hypothesis test.
d. At αα= .05, what is your conclusion?
Answer:
H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.
Step-by-step explanation:
Part a:
The null and alternate hypothesis can be formulated as
H0 : u1 ≤ u2 the two means ( of students whose parents did or did not attain a higher level of education) are equal .
against the claim
Ha: u1 > u2 the students show a higher population mean math score on the SAT if their parents attained a higher level of education.
Part b:
The point estimate of the difference between the means for the two populations is the difference of sample means
x1`- x2`
525- 487= 38
Student’s Parents
College Grads
x x²
485 487 235,225 237,169
534 533 285,156 284,089
650 526 422,500 267,676
554 410 306,916 168,100
550 515 302,500 265,225
572 578 327,184 334,084
497 448 247,009 200,704
592 469 350,464 219,961
∑xi = 8400 ∑xi ²= 4,462,962
x1`= ∑ xi/n1= 8400/16= 525
Using statistic calculator Using formula : σ(n-1)
s1= 59.4205
High School Grads
x x²
442 492 195,364 242,064
580 478 336,400 228,484
479 425 229,441 180,625
486 485 236,196 235,225
528 390 278,784 152,100
524 535 274,576 286,225
∑xi = 5844 ∑xi ²= 2,875,484
x2`= ∑ xi/n2= 5844/12= 487
Using statistic calculator Using formula : σ(n-1)
s2= 51.7476
x1`- x2`= 525- 487= 38
The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 38/ √(59.4205)²/16 + (51.7476)²/12
t=38 / √3530.7958/16 + 2677.8141/12
t= 1.804
and the degrees of freedom is
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [3530.7958/16 + (2677.8141/12) ]²/ (3530.7958/16)²/15 +(2677.8141/12)²/11
≈ 25
The degrees of freedom is always rounded in this calculation
From the table t∝ = 1.708
Hence critical value is t ≥ t∝
Reject H0:
Part C.
The p-value is 0.041647.
The result is less than 0.05.
Result:
H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.
40/5 has a whole numbe
Answer:
Yes 40/5 is 8
Step-by-step explanation:
40/5=8
A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis.
For every 3 kiwis, there are 4
Answer:
83
Step-by-step explanation:
666
Answer:
Bananas
Step-by-step explanation:
This is really easy but I’m lazy
Answer:
D
Step-by-step explanation:
it does not matter which side you put the eight.
if i drive 118.3 miles and my cars miles to gallon is 26.8 how many times would i have to fill up my tank?
Answer:
4.4.
Step-by-step explanation:
I rounded my answer to 4.4. You can divide 118.3 by 26.8 to get your answer. Hope this was helpful.
Please help, marking brainliest for the best answer. Serious answers only please
what is 612.0÷0.06
please help me
Answer:
10,200
Step-by-step explanation:
Answer:
10,200
Step-by-step explanation:
Use a calculator or a piece of paper.
I hope this helps, and have a great day!
A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1, 140, write and solve an equation to find the number of couples attending the spring dance.
Please help me!! I have been stuck on this question for too long.
Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.
Step-by-step explanation:
there ya go this was hard
What is the median of 30,33,38,40,51,57,81,91?
Answer:[tex]{ \left[\begin{array}{ccc}45.5\\\\\end{array}\right] }{}\\\\\end{array}\right] } ----[/tex]
Step-by-step explanation: Hey, Basically we are going to arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Hope this helps!
The diagram shows a door lock.
А
B
1
2
3
4
The code is a letter followed by a number.
Write down all the possible codes,
write your answers like this: (A, 1) You must write all of your answers on one line.
Answer:
(A, 1); (A, 2); (A, 3); (A, 4); (B, 1); (B, 2); (B, 3); (B, 4)
Step-by-step explanation:
What a tedious question...
Express sin A, cos A, and tan A as ratios.
Answer:
sin(A) = 2rad19/20 = rad20/10
cos(A) = 18/20 = 9/10
tan(A) = 2rad19/18 = rad19/9
NEED ASAP !! HELP PLEASE 10 PTS
what Is the answer to 7ft +4ft + 10ft
Answer:
it is 21ft
Step-by-step explanation:
Answer:
21 Ft
Step-by-step explanation:
7ft +4ft + 10ft
7+4 = 11
11 + 10 = 21
21 Ft
The table shows the relationship between the number of brownies, fill in the missing value in the table.
Answer:
The answer is 25
Step-by-step explanation:
How many times do parallel lines intersect?
A. 0
B. 1
C. 2
D. 3
Please help. Will make brainiest !!
Answer:
A) 0
Step-by-step explanation:
The actual definition of parallel lines are lines that never intersect, so the answer is 0
The number of times parallel lines intersect is (a) 0
How many times do parallel lines intersect?From the question, we have the following parameters that can be used in our computation:
The list of options in relation to parallel lines
By definition of parallel lines, we have
Parallel lines are lines that extend indefinitely on both sides without intersecting
Using the above as a guide, we have the following:
Point of intersection = 0
Hence, parallel lines intersect (a) 0 times
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A pair of noise-canceling headphones regularly sells for $116. They
are on sale for 35% off. What is the sale price of the headphones?
Answer:
The headphones are now $40.60.
They started on their trip with a full 20 gallon gas tank. They drove 700 miles and ran out of gas. How many miles per gallon did they average? miles per gallon.
Answer:
35 per miles
Step-by-step explanation:
im dum∵b
please help me asap!!!
Answer:
6
Step-by-step explanation:
8x(2+0)^2 divided by 2
Answer:
16
Step-by-step explanation:
STEP 1:
Calculate within Parentheses:
[tex](2 + 0) = 2[/tex]
=
[tex]8 \times {2}^{2} \div 2[/tex]
STEP 2:
Calculate Exponents:
[tex] {2}^{2} = 4[/tex]
=
[tex]8 \times 4 \div 2[/tex]
STEP 3:
Multiply & Divide (left to right):
[tex]8 \times 4 \div 2 = [/tex]
[tex]8 \times 4 = 32[/tex]
[tex]32 \div 2 = 16[/tex]
So, your answer is 16.
Sloving. Two step equation.
Answer:
w=18
Step-by-step explanation:
Answer:
W=18
Step-by-step explanation:
-6+2w=30
2w=30+6
2w=36
what is the area of each triangle 24 ft 20 ft
ANSWER
Area of triangle = b*h/2
24*20/2
24*10
The area of this triangle is 240 ft squared
Hope it helps :)
What is the positive solution to the equation -22 – 3?
3
-1
-3
1
Please help
15pts
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the quadratic equations.
Since, as the question told,
=>
[tex] \frac{ {x}^{2} }{3} - 3 = 0[/tex]
hence now solving we get as,
[tex] \frac{ {x}^{2} }{3 } = 3 [/tex]
now, we get as,
[tex] {x}^{2} = 9[/tex]
now, then
[tex] \sqrt{ {x}^{2} } = \sqrt{9} [/tex]
so finally, positive value of x is 3
Which graph represents a function
Answer and Step-by-step explanation:
The graph to the top right is a function.
This is a function because it a straight, connected line.
The First graph isn't a function because the lines are connected, and doesn't pass the horizontal test.
The Bottom left graph isn't a function because there are two lines and they intersect.
The Bottom right graph isn't a function because there are points but aren't connected.
#teamtrees #PAW (Plant And Water)