Answer:
720
Step-by-step explanation:
Plato.
t=√2d/a
12=√2d/10
12²=(√2d/10)²
144=2d/10
2d=(144)(10)
d=1440/2
=720
The initial Velocity of that object would be zero.
What is initial velocity?Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. When gravity first exerts a force on an object, its initial velocity defines how quickly the object moves.
They are three initial velocity formulas:
(1) If time, acceleration, and final velocity are provided, the initial velocity is articulated as u = v – at
(2) If final velocity, acceleration, and distance are provided we make use of u² = v² – 2 as
(3) If distance, acceleration, and time are provided, the initial velocity is
s = ut + 1/2at²
Where,
Initial velocity = u,
Final Velocity = v,
time taken = t,
distance travelled or displacement = s,
acceleration = a
From the third formula of velocity
s = ut + 1/2at²
If u = 0
then s = 1/2at²
=> at² = 2s
=> t² = 2s/a
=>t = [tex]\sqrt{2\frac{s}{a} }[/tex]
Which is the same as the given equation
therefore, That object's initial velocity would be zero.
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k-x=y+w, for x
Solve the equation for each indicated variable
Answer:
-x=y+w-k
-x.-1=-1.(y+w-k)
x=-y-w+k
(look at image) gggggggggggg
Answer:
hard to see a little
Step-by-step explanation:
Five computer program modules are ranked as M1, M2, M3, M4, and M5 according to the ascending order of effort required to debug them, among which M1 requires the least amount of effort and M5 requires the most amount of effort. A software engineer must randomly select three program modules from the five modules. He (or she) does not know the amount of effort each module costs when selecting.
A) What is the sample space?
B) Let A be the event that one selected module requires the least amount of effort. List the outcomes in A, and calculate the probability of A.
C) Let B be the event that the one selected module requires the most effort. List the outcomes in B, and calculate the probability of B.
D) List the outcomes in the compound event AnB, and calculate the probability of it.
E) List the outcomes in the compound event AUB, and calculate the probability of it.
F) List the outcomes in the compound event AnB, and calculate the probability of it.
G) List the outcomes in the compound event AUB, and calculate the probability of it.
H) Are events A and B mutually exclusive? Explain why?
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Technician selects three out of 5 systems
In C(5,3)=10ways, this can be achieved
In part a:
Space sample chooses 3 of a 5 systems
[tex](M_1, \ M_2,\ M_3),[/tex][tex](M_1,M_2,M_4) \ (M_1,M_2,M_5) \ (M_1,M_3,M_4) \ (M_1,M_3,M_5),[/tex][tex](M_1,M_4,M_5) \ (M_2,M_3,M_4)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5)}[/tex]
In point b:
A =MODULE WHICH INCLUDE M1 minimal amount of effort
Outcomes probable =
[tex](M_1,M_2,M_3),\ (M_1,M_2,M_4) \ (M_1,M_2,M_5)\ (M_1,M_3,M_4)\\\\(M_1,M_3,M_5),\ (M_1,M_4,M)5)\ =\ 6[/tex]
[tex]\to p(A)=\frac{6}{10}\\\\[/tex]
[tex]=0.6[/tex]
In point c:
B = highest effort that is [tex]M_5[/tex]
Potential result=
[tex](M_1,M_2,M_5) \ (M_1,M_3,M_5) \ (M_2,M_3,M_5)\(M_2,M_4,M_5) \\ (M_2,M_4,M_5), \ (M_3,M_4,M_5) \ =\ 6 \\\\[/tex]
[tex]\to B= \frac{6}{10} \\\\[/tex]
[tex]=0.6[/tex]
[tex]\to P(B)=10[/tex]
In point d:
[tex]\to \ A \ intersection \ B=(M_1,M_2,M_5), \ (M_1,M_3,M_5) \ ,(M_1,M_4,M_5)[/tex]
[tex]\to A (A \ intersection \ B) = \frac{3}{10} \\\\\ \ \ \ \ \[/tex]
[tex]=0.3[/tex]
In point e:
[tex]\to (A \cup B) = (M_1,M_2,M_3),\ (M_1,M_2,M_4)\ (M_1,M_2,M_5)(M_1,M_3,M_4)\ (M_1,M_3,M_5), \\ (M_1,M_4,M_5)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5) \ = \ 9[/tex][tex]\to P(A \cap B)=\frac{9}{10}[/tex]
[tex]= 0.9[/tex]
In point f:
[tex]\to (A\cap B) = \frac{3}{10}[/tex]
[tex]= 0.3[/tex]
In point g:
[tex]\to (A \cup B) = \frac{7}{10}[/tex]
[tex]=0.7[/tex]
In point h:
[tex]\to p(A \cap B) = 0.3 \neq 0[/tex]
For each part of this problem, show all your work and write a probability statement.
Investigators recently reported the results a study designed to assess whether or not the herb, St. John’s Wort is effective in treating moderately severe cases of depression. The study involved 338 subjects, randomly assigned to receive one of three treatments: St. John’s Wort, Zoloft, or a placebo. The authors were primarily interested in whether St. John’s Wort performed better than placebo and included Zoloft as a "way to measure how sensitive the trial was to detecting antidepressant effects." Their results are presented in the table below:
St. John's Wort Placebo Zoloft Total
Full Response 27 37 27 91
Partial Response 26 13 26 55
No Response 70 66 56 192
Total 113 116 109 138
1. What is the probability that a randomly selected subject had no response?
2. What is the probability that a randomly selected subject was treated with Zoloft and had a full response?
3. What is the probability that a randomly selected subject had a full or partial response given they were treated at St. John's Wort?
4. What is the probability that a randomly selected subject who didn't have a full response was treated with Placebo?
Answer:
Follows are the answer to the given point.
Step-by-step explanation:
In point 1:
[tex]\to P( \text{number of response}) = \frac{192}{338} \\[/tex]
[tex]= \frac{96}{169}\\\\= 0.56[/tex]
In point 2:
[tex]\to P| \text{(Zoloft and fill response)}| = \frac{27}{338}[/tex]
[tex]= 0.079[/tex]
In point 3:
[tex]\to P(\frac{\text{ full or partial}}{\text{St. John's Wort}}) = \frac{\frac{43}{338}}{\frac{113}{338}}[/tex]
[tex]= \frac{43}{338} \times \frac{338} {113}\\\\= \frac{43}{113}\\\\= 0.38[/tex]
In point 4:
[tex]\to P(\frac{\text{Placebo}}{\text{full or response}}) = P(\frac{(\text{Placebo} \cap \text{full or response})} {\text{p(full response)}})[/tex]
[tex]= \frac{\frac{79}{338}}{ 1- \frac{91}{338}} \\\\ = \frac{\frac{79}{338}}{ \frac{338-91}{338}} \\\\ = \frac{\frac{79}{338}}{\frac{247}{338}} \\\\ = \frac{79}{338} \times \frac {338}{247} \\\\= \frac{79}{274} \\\\ = 0.28[/tex]
Mark and Robyn used base-ten blocks to show that 200 is 100 times as much as 2
Ex
Whose model makes sense? Whose model is nonsense? Complete the explanation.
Step
Mark's Work
Robyn's Work
М.
th
Te
200
200
Mark's
model does not make sense. That person's model shows 20 instead of 200
That person's model shows that 200
is 10 times as much as
model makes sense. That person's model shows that 200 is
times as
much as 2
Answer:
See Explanations
Step-by-step explanation:
The steps in the question isn't clear enough, however the question is answerable.
From the question, we understand that one model shows that:
200 is 10 times 20
While the second model shows that
200 is 10 times 2
The first model that says
200 = 10 times 20 makes sense.
This is so, because 200 = 20 * 100
While the other model which says
200 = 10 * 2 is nonsense.
This is so because, 200 ≠ 10 * 2
Plz help on this question, I’ve got a mind blank
Answer:
ist cubes man
Step-by-step explanation:
Given two dependent random samples with the following results:
Population 15666696660595654
Population 26564746463645460
Can it be concluded, from this data, that there is a significant difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.02 for the test. Assume that both populations are normally distributed.Step 1 of 5 :
State the null and alternative hypotheses for the test.
Answer:
The null hypothesis will not be rejected.
Step-by-step explanation:
The hypothesis for the test is:
H₀: There is no difference between the two population means, i.e. d = 0.
Hₐ: There is a significant difference between the two population means, i.e. d ≠ 0.
Consider the Excel output attached.
The mean of the differences is, [tex]\bar d=-2.75[/tex].
The standard deviation of the differences is, [tex]S_{d}=4.268[/tex].
Compute the test statistic as follows:
[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}=\frac{-2.75}{4.268/\sqrt{8}}=-1.82[/tex]
The degrees of freedom is, n - 1 = 7.
Compute the p-value as follows:
[tex]p-value=2\cdot P(t_{7}<-1.82)=0.112[/tex]
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
p-value = 0.112 > α = 0.02.
The null hypothesis will not be rejected.
The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by
(2x + 3)°. What is the value of x? What is the measure of each base angle?
x =
Each base angle measures
°.
Answer:
x=33 and angle=69
Step-by-step explanation:
just got it on a test
Measure of x = 69 degree.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that,
vertex angle = 42 degree
Angle of base angle = (2x + 3)°
Use the knowledge that the sum of the base angles in an isosceles triangle equals 180° minus the vertex angle to find the value of x.
Thus,
Vertex angle is,
(2x + 3)° + (2x + 3)° = 180° - 42°
Base angle + Base angle = 180° - 4x + 6 = 138
4x = 132 x = 33
We substitute x = 33 into (2x + 3)°
To determine the magnitude of each base angle:
Base angle equals (x + 3)°
Base angle = (2 x 33 plus 3).
Angle at base: 69° As a result, each base angle is 69°.
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HELPPPP DUE TODAY!
Any one who answers will be marked brainliest please.
The table contains the points of an absolute value function. Compare it to the function f(x)=−2|x−7|−4 .
x g(x)
1 −2
2 −1
3 −2
4 −3
Which function has the largest maximum and what is the value of the largest maximum?
A-The function f(x) has the largest maximum which is −1 .
B-The function f(x) has the largest maximum which is −4 .
C-The function g(x) has the largest maximum which is −1 .
D-The function g(x) has the largestmaximum which is −4 .
Please help as soon as possible!
Answer:
I had the same question and guessed but i got 100% on it. The following snip is the answer
Step-by-step explanation:
The function g(x) has the largest maximum which is −1 option (C) is correct if the equation for the function f(x) is f(x)=−2|x−7|−4.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function:
f(x) = -2|x - 7| - 4
Plug x = 1
f(1) = -16
Plug x = 2
f(2) = -14
Plug x = 3
f(3) = -12
Plug x = 4
f(3) = -10
From the table:
The function g(x) has the largest maximum which is −1.
Thus, function g(x) has the largest maximum which is −1 option (C) is correct if the equation for the function f(x) is f(x)=−2|x−7|−4.
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1. If a car must have at least 2 passengers in order to be in the carpool lane on this highway, what is the probability that a randomly selected car is allowed to be in the carpool lane?
P(x>2) .15+.10+ .3+ .2= .30
2. Find the probability that a randomly selected car on this highway has fewer than 4 occupants.
P(x<4)= p(x<3)=
.70+ .15+ .10= .95
3. Calculate the mean of this probability distribution. Click on the tool "Insert Math Equation" in the toolbar above to write your answers using correct notation and round it to one more decimal than is contained in the data (type out your calculations).
E(x) is
1(x) p(1) + 2p(2) + 3p(3)+ 4p(4)+ 5p(5)
.70+.30+.30+.12+.10
=1-52
4. Explain what your answer to #3 means in the context of this problem.
Mean is the expected value and measure of tendency following is the probability of distribution
5. What shape would the probability histogram of this probability distribution have (you do not have to actually create or embed the histogram)? Explain the meaning of this in context. In other words, what does this tell you about the driving habits of most drivers on this highway?
Most drivers have more than 2 passengers while driving in the carpool lane on the freeway
Answer:
4
Step-by-step explanation:
HELP ME ASAP PLSSSSSSSS
Answer:
The answer is B.50
Step-by-step explanation
Replace x with 50
(50+20)=70+50 from the other lone xFind z by subtracting 180 by the external angle (150) and get 30Add to get 180 which is what a triangle adds up toWhich statement correctly compares the function shown on this graph with the function y =5x+5.
Answer: D
Step-by-step explanation:
The function shown on the graph has the same rate of change but lower starting point
the answer is D!
the function shown on the graph has the same rate of change but a lower starting point.
How can You use mental math for 878 + 534=
Answer:
the answer would be 1412
Step-by-step explanation: Take the '4' in 534, add it to the 878 in your head. Thus resulting in 882. Then add the 30 to this number. After adding 30, you should get 912. Then add 500, and your answer is 1412.
Simplify this expression (4ab^2)^3
Answer:
(48b 2) 3
Step-by-step explanation:
The answer is A) The simplified expression is a polynomial. & B)The simplified expression has a constant term.
What is a polynomial for example?Polynomials are sums of phrases of the form okay⋅xⁿ, where ok is any range and n is an effective integer. as an instance, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers commonplace terminology like phrases, diploma, fashionable form, monomial, binomial and trinomial.
Here, we have,
A polynomial is described as an expression that consists of variables, constants, and exponents, which can be mixed with the usage of mathematical operations including addition, subtraction, multiplication, and department (No department operation by way of a variable).
t³(8 + 9t) - (t² + 4)(2 - 3t)
= 8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
= 8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
= 9t⁴ + 11t³ - 2t² + 12t - 8.
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complete question;
T^3(8 + 9t) - (t2 + 4) (2 – 3t)
The simplified expression is a polynomial.
The simplified expression has a constant term.
The simplified expression is cubic.
The simplified expression has four terms.
The simplified expression is a trinomial
What do you need to do to rationalize a denominator with a cube root in it?
Answer:
When a denominator has a higher root, multiplying by the radicand will not remove the root. Instead, to rationalize the denominator we multiply by a number that will yield a new term that can come out of the root. For example, with a cube root multiply by a number that will give a cubic number such as 8, 27, or 64.
Here are the total scores of 10 students in an introductory statistics course.
62 93 54 76 73 98 64 55 80 71
Previous experience with this course suggests that these scores should come from a distribution that is approximately Normal with mean 72 and standard deviation 10. The grading policy says that the cutoffs for the other grades correspond to the following: bottom 5% receive F, next 15% receive D, next 35% receive C, and next 30% receive B. These cutoffs are based on the N(72, 10) distribution.
A) Give the cutoffs for the grades in this course in terms of standardized scores.
B) Give the cutoffs in terms of actual total scores.
C) Do you think that this method of assigning grades is a good one?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 72
Standard deviation (sd) = 10
Grading cutoff policy:
bottom 5% receive F
next 15% receive D
next 35% receive C
next 30% receive B
A) Give the cutoffs for the grades in this course in terms of standardized scores.
Standardized score for grade cutoff:
Locating the Zscore for the proportions on the z table :
Bottom 5% = 0.05 ; corresponding Zscore = - 1.645
next 15% receive D = (5 +15)% 0.20 ; corresponding Zscore = - 0.84
next 35% receive C = (20+35)% = 0.55 ; corresponding Zscore = 0.13
next 30% receive B = (55 + 30)% = 0.85 ; Corresponding Zscore = 1.04
B) Give the cutoffs in terms of actual total scores.
Recall:
Zscore = (x - m) /sd ; where x = actual score
x = sd*z + m
For F:
10*(-1.645) + 72 = 55.55
For D:
10*(-0.84) + 72 = 63.6
For C:
10*(0.13) + 72 = 73.3
For B:
10*(1.04) + 72 = 82.4
C) Do you think that this method of assigning grades is a good one?
Yes, it is good in terms of expressing scores around the mean such that score below are negative and those above are positive. However, it is a little bit ambiguous.
Math Questions. 5+ points
Small, energy-efficient, Internet-centric, new computers are increasingly gaining popularity (The New York Times, July 20, 2008). Some of the biggest companies are wary of the new breed of computers because their low price could threaten PC makers’ already thin profit margins. An analyst comments that the larger companies have a cause for concern since the mean price of these small computers has fallen below $350. She examines six popular brands of these small computers and records their retail prices as given below:
$322 $269 $373 $412 $299 $389
Required:
a. What assumption regarding the distribution of the price of small computers is necessary to test the analyst’s claim?
b. Select the appropriate null and the alternative hypotheses to test the analyst’s claim.
1. H0: μ = 350; HA: μ ≠ 350
2. H0: μ ≤ 350; HA: μ > 350
3. H0: μ ≥ 350; HA: μ < 350
c. Calculate the value of the test statistic.
d. At the 5% significance level, what is the critical value(s)?
Answer:
(a) The assumption regarding the distribution of the price of small computers which is necessary to test the analyst’s claim are;
The data given must follow a normal distribution.The sample values are taken from the population data only.(b) H0: μ ≥ 350; HA: μ < 350
(c) The value of the t-test statistic is -0.263.
(d) At a 5% significance level, the t table gives a critical value of -2.015 at 5 degrees of freedom for the left tailed test.
Step-by-step explanation:
We are given that an analyst comments that the larger companies have a cause for concern since the mean price of these small computers has fallen below $350.
She examines six popular brands of these small computers and records their retail prices as given below:
$322, $269, $373, $412, $299, $389.
(a) The assumption regarding the distribution of the price of small computers which is necessary to test the analyst’s claim are;
The data given must follow a normal distribution.The sample values are taken from the population data only.(b) Let [tex]\mu[/tex] = population mean price of these small computers
So, Null Hypothesis, [tex]H_0[/tex] : μ ≥ 350 {means that the mean price of these small computers is more than or equal to $350}
Alternate Hypothesis, [tex]H_A[/tex] : μ < 350 {means that the mean price of these small computers has fallen below $350}
(c) The test statistics that will be used here is one-sample t-test statistics because we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean price = [tex]\frac{\sum X}{n}[/tex] = $344
s = sample standard deviation = [tex]\sqrt{\frac{\sum(X-\bar X)^{2} }{n-1} }[/tex] = $55.89
n = sample of prices = 6
So, the test statistics = [tex]\frac{344-350}{\frac{55.89}{\sqrt{6} } }[/tex] ~ [tex]t_5[/tex]
= -0.263
The value of the t-test statistic is -0.263.
(d) Now, at a 5% significance level, the t table gives a critical value of -2.015 at 5 degrees of freedom for the left tailed test.
Since the value of our test statistics is more than the critical value of t as -0.263 > -2.015, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the mean price of these small computers is more than or equal to $350.
Given that every seventh person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4
decimal places, if necessary.
Answer:
0.857
Step-by-step explanation:
Given that :
Every seventh person gets a free box of popcorn ; then not getting a free box of popcorn means you're not the 7th person inline.
However, since the order of arrangement is unknown, but one person out of every 7 gets ;
Probability of getting a popcorn is hence ;
p(getting popcorn) = 1/7
Probability of not getting will then be its complement :
1 - (1/7) = 6/7 = 0.857
Find the lowest common multiple of 35 and 55
Answer: The lowest common multiple between 35 and 55 is 385.
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tile for 99 square feet. Which statement about the amount of tiles is correct.
sorry dont have time to type the answers but if you got this question and know the answer just tell me!
Answer:
AAAAAAAAAA
Step-by-step explanation:
Write the number in scientific notation.
1,920,000
Solve each inequality below.
7. -4x < 32
O x 28
OX-8
O X 36
O X8
Step-by-step explanation:
2nd one I think.........?
What is the value of a(b - c) when b = 3, c = -3 and a = -2?
Answer:
-12
Step-by-step explanation:
a(b - c)
b = 3, c = -3 and a = -2
-2( 3- -3)
-2(3+3)
-2(6)
-12
Answer: -12
Explanation: It's a good idea to get into the habit of
using parenthses when substituting numbers in for variables.
If you have parenthses in your original problem,
change them to brackets as you substitute to avoid confusion.
Since your brackets replace your original parenthses,
your first step will be to simplify what's inside the brackets.
So we have (-2) [(3) - (-3)].
Simplifying inside the brackets, we get 6.
So we have (-2) [(6)].
Multiplying from here, our answer is -12.
The IQ scores and science test scores of fourth grade students is given by the regression line ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100. Find and interpret the residual.
Answer:
24
Step-by-step explanation:
Given the equation of the regression line :
y = - 20.3 + 0.489s
where ŷ is the predicted science score
s = IQ score
An actual science test score for a student is 52.6 with an IQ of 100.
Find and interpret the residual.
The predicted science test score for a student with an IQ of 100 is :
y = - 20.3 + 0.489(100)
y = - 20.3 + 48.9
y = 28.6
The residual = actual - predicted score
The residual = 52.6 - 28.6 = 24
Hence, the residual is 24 which is the error in prediction made about the actual score.
Answer:
−1.99; The regression line overpredicts the student's science test score.
Step-by-step explanation:
Tell whether the fraction is in simplest form 25/42
Answer:
it's already in the simplest form
Yes... It is in the simplest form..
If this answer helps you plz mark as brainlist..Tq..Write 0.000073 in scientific notation
Answer:
7.3x10^-7
Step-by-step explanation:
you move the decimal to the right 7 times.
Hope this helps.
Answer:
[tex]10^-^5[/tex] [tex]*73[/tex]
Step-by-step explanation:
So in 0.000073, 7 is the fifth digit in the term so we can write it as [tex]10^-^5[/tex] * 73
or 10 to power of negative 5 multiplied by 73.
The width of a rectangle is four feet more than six times its length, L. If the perimeter of the rectangle is 568
feet, what is the length of the rectangle?
Answer:
Hi there!
Your answer is:
The length is 40
Step-by-step explanation:
W=4+6L
P=568
Perimeter formula
W+W+L+L=568
Plug in known values!
(4+6L)+(4+6L) + L +L = 568
Solve for L
14L + 8 = 568
-8
14L = 560
/14
L=40
What is 20.305 in expanded form
Answer:
5,000 + 300 + 20 + 5 = 5,325
Step-by-step explanation:
Can anybody help with this math problem?
Blank 1 = same slope
Blank 2 = negative reciprocals