9514 1404 393
Answer:
A) down
B) 25 m; 200 m/s
C) (20.41, 2065.82)
Step-by-step explanation:
When you are first introduced to equations for ballistic motion, you may be told that the formula is ...
h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds
where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.
When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...
f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'
When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.
Knowing these things, you are prepared to match the given equation to these patterns.
__
Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.
__
Part B: The constant in the first given equation is 25, so the initial height is 25 meters.
The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.
__
Part C: The vertex can be read from the second equation as ...
(h, k) = (20.41, 2065.82)
A college has a limited enrollment summer course that only accepts 50 students, selected at random from
the more than 2000 qualified students who apply each year. Of these applicants, 22% have completed 2
or fewer years of college. Suppose the registrar calculates the annual proportion of students accepted
into the course who have completed 2 or fewer years of college.
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.22
0.22
Answer: C 0.22,
Step-by-step explanation:
We have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample
Using the Central Limit Theorem, it is found that the best approximation of the sampling distribution of p is that it is approximately normal, with mean of 0.22 and standard deviation of 0.0586.
Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]In this problem:
The proportion is of [tex]p = 0.22[/tex].Samples of 50 students are taken, hence [tex]n = 50[/tex].Then, [tex]s = \sqrt{\frac{0.22(0.78)}{50}} = 0.0586[/tex]
The sampling distribution of p is approximately normal, with mean of 0.22 and standard deviation of 0.0586.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/25868626
Question
Given matrix A shown below, find 6 A
Answer:
-6 18
-30 30
Step-by-step explanation:
Multiply each number in the matrix by the 6.
What’s is 47x88x9x0???
Answer:
0
Step-by-step explanation:
go left to right
47x88=4136
4136x9=37224
37224x0=0
Regina rolls a fair, six-sided die every week, and her allowance for that week is twice the
number she rolls on the die. Write an expression to represent Regina's allowance for the
week where n represents the number that Regina rolls on the die that week.
Write your answer in the box.
Answer:
6*2=n
Step-by-step explanation:
Well, if its a 6 sided die, and she gets twice the amount, then 6*2 and since the total = n 6*2=n The Total of the equation would be 12 instead of n
Complete the sentence: An unbiased estimator is _____. a. any sample statistic used to approximate a population parameter b. a sample statistic, which has an expected value equal to the value of the population parameter c. a sample statistic whose value is usually less than the value of the population parameter d. any estimator whose standard error is relatively small
Answer:
a) Any sample statistic used to approximate a population parameter.
Step-by-step explanation:
An unbiased estimator is any sample statistic used to approximate a population parameter.
In mathematics, the bias of an estimator refers to the difference between the true value of the parameter being estimated and the estimator’s expected value.
If a statistic is not an underestimate or overestimate of the population parameter, then it is unbiased.
That is why an unbiased estimator is an accurate sample statistic used to approximate a population parameter.
Find the slope of the line that contains the points (6, 5) and (8,7)
Answer:
The slope of the line is 1
Step-by-step explanation:
the formula for slope is
y¹-y²
-----
x¹-x²
y¹ and x¹ can be either of the points.
So let's make it (6,5)
This means that y² and x² will be (8,7)
The equation will be
5-7d -2
----- = ---
6-8 -2
which can be simplified to 1 by divied both by -2
find the domain for 5/x2-9
Answer:
x > -3 or -3 < x < 3 or x > 3
Step-by-step explanation:
[tex]x^{2}[/tex] - 9
= (x + 3)(x - 3)
the undefined singularity points are at x = 3 and x = -3
x > 3 or x > -3
Regis was competing on a game show, and he ran into a losing streak. First, he bet half of his money on one question and lost it. Then he lost half of his remaining money on another question. Then he lost $300 on another question. Then he lost half of his remaining money on another question. Finally, he got a question right and won $200. At this point, the show ended, and he had $1,200 left. How much did he have before his losing streak began
Answer:
$9200
Step-by-step explanation:
Given :
Working backwards :
Amount left before last $200 winning = $1200 - $200 = $1000
Amount had before 4th bet loss : $1000 * 2 = $2000
Amount lost on third bet loss = $300
Total amount had before 2nd bet loss = $(2000 + 300) = $2300
Amount had before second loss = 2 * 2300 = $4600
Amount had before first bet loss = $4600 * 2 = $9200
Hence, amount had before starting to lose games is $9200
Pls help solve these three
Answer:
1. True
2. False
3. False
Step-by-step explanation:
It’s,yes(true),and,no(false),no(false)
Reduce the following fraction to lowest terms: [tex]16/20[/tex]
30 + q = 43 show work PLEASEE HELP
Answer:
13
Step-by-step explanation:
43 - 30 = 13
q = 13
Answer:
q=13
Step-by-step explanation:
first, subtract 30 from both sides of the equation
30-30+q=43-30
you should be left with q=13
that's your answer
Hey guys I need help with this question
CAN SOMEONE EXPLAIN AND MAYBE SHOW ME STEP BY STEP WHY THE ANSWER IS 75degrees. HURRY 50 points and brainiest!!!
Answer:
75 is auwsome kid. im a million.
Step-by-step explanation:
waka waka
Triangle LQP is isosceles, and in it, angle L is 30 degrees; so the other two angles add up to 150 degrees. Hence, angle LQP is 75 degrees.
please help answer questions 1 and 2!
Answer:
1:A
3:C
hope this help
The least common multiple of 3, 4, 6, and 8 is
Answer:
24 is the least common multiple of 3, 4, 6, and 8 is
Please help I’ll mark you as brainliest if correct
Answer:
The Bakery will sell 22 more vanilla cupcakes than lemon cupcakes.
Step-by-step explanation
Ruling out the answers here, with the first answer you can get that by looking at the graph and can be supported with the data set. With the third answer that can also be supported by the data set and is a educated prediction. And for the fourth answer same thing as the last ones. The only one that wouldn't make sense if you were trying to support it with the data of cupcakes would be the second answer. Which therefore should be your answer.
The maximum grain yield for corn is achieved by planting at a density of 36,000 plants per acre. A farmer wants to maximize the yield for the field represented on the coordinate grid. Each unit on the coordinate grid represents one foot. How many corn plants, to the nearest thousand, does the farmer need? (Hint: 1 acre = 43,560 ft2)
Answer:501,000
Step-by-step explanation:
fine the Value of t in the equation
Answer:
14.4
Step-by-step explanation:
6 x (t1/3 + t1/2) = 12(6)
2t + 3t = 72
5t = 72 /5
t= 14.4
solve the equation f/3+22=17
Answer:
f = -15
Step-by-step explanation:
f/3 + 22 - 22 = 17 - 22
f/3 + 0 = -5
f/3 = -5
f = 3 × (-5)
f = -15
Thus, The answer is -15
-TheUnknownScientist
Function operations
C. Mrs. Hampton used 1/3 of a gallon of milk to feed three kittens. If she fed an equal amount
of milk to each kitten, how much milk would one kitten get?
For the function defined by y = StartFraction 1 Over x squared EndFraction, y varies inversely as what quantity? a. x c. y b. 2x d. x squared
Answer:
D- x^2
Step-by-step explanation:
Just did the practice edge. 2021
For a given function, y is inversely proportional to x.
Option A is correct.
What is function?A function is a mathematical process that uniquely relates the value of one variable to the value of one (or more) other variables.
A function is a special type of relation where every input has a unique output.
A function is a correspondence between two sets(called the domain and range) such that to each element of the domain, there is assigned exactly one element of the range.
Given function
y = [tex]\frac{1}{x^{2} }[/tex]
If x = 1, y = [tex]\frac{1}{1^{2} }[/tex] = 1
If x = 2, y = [tex]\frac{1}{2^{2} }[/tex] = [tex]\frac{1}{4}[/tex] = 0.25
If x = 3, y = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex] = 0.111
If x is changing, y is also changing.
x is in denominator.
So, it means inversely proportional.
Y is inversely proportional to x.
Find out more information about function here
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Find the measures of the numbered angles in each kite.
Answer:
x = 9°
y = 26°
Step-by-step explanation:
4x + 6x = 90
10x = 90
x = 9
y + 7(9) +1 = 90
y + 64 = 90
y = 26
pls somebody help me i need help on this
dont get it
Answer:
its 8.1
Step-by-step explanation:
if 1 mile is 5.4 you would divide that by two and then add 5.4 +2.7 which equals your answer 8.1
NEDD HELP ASAP PLEASEEEEEEEEEEEE :/
I need help with my math assignment
Solve for x. Round all answers to the nearest tenth.
9
X
12
Answer:
I hope im right so so sorry if im not
Step-by-step explanation:
first find area
1/2 bh
1/2 of base times height
bh=(9)(12)=108
if there is a right angle then that is 90°
so do 108° -90° which is 18°
So your answer is 18°
The solution is, the value of x = 36.87.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
from the given figure,
we get,
height = 9
base = 12
by, using the trigonometric relations,
we get,
tan x = 9/12
or, tan x = 0.75
or, x = 36.87
Hence, The solution is, the value of x = 36.87.
To learn more about trigonometric relations click :
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I’ll mark as BRANLIEST!!
30 POINTS!!
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[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: 900 \: }}}}}[/tex]
I would love for someone to help me with this.
Answer:
5x + 3y = 12
Step-by-step explanation:
We are given the line 5x + 3y = 6 and are to find the equation of a new line that is parallel to this one and goes through (3, -1).
Parallel lines have the same slope. The slope of the given line is determined by the coefficients 5 and 3 visible above. Therefore, the form of the equation of the new line is 5x + 3y = C, where we must determine the value of C.
Substitute 3 for x and -1 for y in 5x + 3y = C, obtaining: 5(3) + 3(-1) = C. Then 15 - 3 = 12 is the constant value, and the equation of the 'new line' is
5x + 3y = 12
The area of a large rectangular rug is 54 square feet. List all the possible pairs of
dimensions for the rug
Answer: 2 x 27, 3 x 18, 6 x 9
Step-by-step explanation: