. An object is launched straight up into the air. It is launched from a height
of H feet off the ground. Its height H, in feet, at t seconds is given by the
equation H = -8t^2 + 40t + 18. Find all times t that the object is at a height
of 50 feet off the ground.
Answer:
H=24
Step-by-step explanation:
In which quadrant is (4,-9) located.
An experiment consists of tossing an unfair coin (48% chance of landing on heads) a specified number of times and recording the outcomes.
a. What is the probability that the first head will occur on the second trial?
b. Does the probability change if we toss the coin three times? What if we toss the coin four times?
Answer:
a. [tex]Probability = 0.2496[/tex]
b. No, it won't change
Step-by-step explanation:
Represent [tex]the\ head[/tex] with H and [tex]Tail\ with[/tex] T
Such that:
[tex]P(H) = 48\%[/tex]
Solving (a): First head in second trial
First, we determine P(T) i.e. the probability of obtaining a tail
[tex]P(H)+P(T) = 100\%[/tex]
[tex]P(T) = 100\% -P(H)[/tex]
Substitute 48% for P(H)
[tex]P(T) = 100\% -48\%[/tex]
[tex]P(T) = 52\%[/tex]
If the first head is obtained in the second trial, the probability is:
[tex]Probability = P(T\ and\ H)[/tex]
[tex]Probability = P(T)\ and\ P(H)[/tex]
[tex]Probability = P(T)\ *\ P(H)[/tex]
[tex]Probability = 48\%* 52\%[/tex]
[tex]Probability = 0.2496[/tex]
Solving (b): Will it change if tossed three or four times?
Irrespective of the number of times the coin is tossed, the probability of obtaining a head in the second toss will always be the same because the coin has to be tossed twice before the third and the fourth time.
Solve the equation.
4+ 14 = – 2(7x-9)
Answer:
-63
Step-by-step explanation:
help meh please someone
Answer:
D, I think
Step-by-step explanation:
Summary statistics are given for independent simple random samples from two populations. Use the nonpooled t-test to conduct the required hypothesis test. 1 = 75.1, s 1 = 4.5, n 1 = 11, 2 = 66.2, s 2 = 5.1, n 2 = 9 Perform a two-tailed hypothesis test using a significance level of α = 0.01.
Answer:
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The first sample mean is [tex]\= x_1 = 75.1[/tex]
The first sample standard deviation is [tex]s_1 = 4.5[/tex]
The first sample size [tex]n_1 = 11[/tex]
The second sample mean is [tex]\= x_2 = 66.2[/tex]
The second sample standard deviation is [tex]s_2 = 5.1[/tex]
The second sample size is [tex]n_2 = 9[/tex]
The significance level is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]
Generally the pooled standard deviation is mathematically represented as
[tex]s = \sqrt{ \frac{(n_ 1 - 1) s_1^2 + (n_2 - 1) s_2^2}{n_1 + n_2 -2 } }[/tex]
=> [tex]s = \sqrt{ \frac{(11 - 1) 4.5^2 + (9 - 1) 5.1^2}{11 + 9 -2 } }[/tex]
=> [tex]s = 4.78[/tex]
Generally the degree of freedom for the is mathematically represented as
[tex]df = [ \frac{[\frac{s_1^2 }{n_1} + \frac{s_2^2}{ n_2} ]^2}{[\frac{[\frac{s_1^2}{n_1} ]^2}{n_1 - 1 } ] + [\frac{[\frac{s_2^2}{n_2} ]^2}{n_2 -1} ]} ][/tex]
=> [tex]df = [ \frac{[\frac{4.5^2 }{11} + \frac{5.1^2}{9} ]^2}{[\frac{[\frac{4.5^2}{11} ]^2}{ 11 - 1 } ] + [\frac{[\frac{5.1^2}{9} ]^2}{9 -1} ]} ][/tex]
=> [tex]df = 16 [/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2}{ \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} } }[/tex]
=> [tex]t = \frac{ 75.1 - 66.2 }{ \sqrt{\frac{ 4.5^2 }{ 11} + \frac{5.1^2}{ 9} } }[/tex]
=> [tex]t = 4.092[/tex]
Generally the student distribution table the probability of [tex]t = 4.092[/tex] to the right at a degree of freedom of [tex]df = 16 [/tex] is
[tex]P( T > 4.092 ) = 0.00042536[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(T > 4.092)[/tex]
=> [tex]p-value = 2 * 0.00042536[/tex]
=> [tex]p-value = 0.001[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence we
The decision rule is
Reject the null hypothesis
I just want to tell you, that ya'll all beautiful even if you think your not.BE free and live your life by yourself or with others. You are one of a kind. So I love you and Hope you have a bless day. Thank you
Answer:
awww XD thats awesome thankyou made my day :)) hope you have a good day :P good people like you sharing kindness is good we need more of that.
Step-by-step explanation:
:P best wishes to you homie
For your birthday, you want to take a group of friends to an indoor trampoline
center. There are two trampoline parks available on your date. You only have
$250 to spend on your party.
Pricing Information:
Sky High: $50 for a party set up fee and $5 per person after that. Write an inequality model for both trampoline parks.
Jump it Up: $70 for a party set up fee and $2 per person.
In jump it up you can bring 90 friends.
In Sky high, you can bring 40 friends.
Answer:
Skyhigh : 40 friends
Jump it up : 90 friends
Step-by-step explanation:
Given that :
Total amount available to spend = $250
JUMP IT UP:
Party set up fee = $70
Amount paid per person = $2
Number of friends = 90
SKY HIGH:
Party set up fee = $50
Amount paid per person = $5
Number of friends = 40
INEQUALITY :
Party setup fee + amount per person * Number of persons ≤ available amount to spend
SKY HIGH:
50 + 5x ≤ 250
5x ≤ 250 - 50
5x ≤ 200
x ≤ 200/5
x ≤ 40
Hence,
Skyhigh = 90 friends
JUMP IT UP:
70 + 2x ≤ 250
2x ≤ 250 - 70
2x ≤ 180
x ≤ 180/2
x ≤ 90
Jump it up = 90
Find the sum of the interior angle measures of the polygon
A survey of 1000 Californians finds reports that 48% are excited by the opportunity to take a statistics class.
The margin of error in this report is 5%. Which answer choice best describes a reasonable range of values for the percent of
students who are excited to take a statistics class?
Answer:
(0.449, 0.511) is the range for the percent of students who are excited to take a statistics class
Step-by-step explanation:
First of all, let's check that the sample size is large enough to use normal approximation.
Conditions are;
np > 10
n(1-p) > 10
Now, we have;
n = 1000
p = 48% = 0.48
Thus;
np = 1000 × 0.48 = 480 > 10
Also;
n(1 - p) = 1000 × (1 - 0.48) = 520 > 10. This means the conditions for normal approximation have been fulfilled. Hence we can use the confidence interval formula to get the range of values which is;
CI = p ± z√(pq/n)
We are given a margin of error and thus the confidence interval is at 95%.
Critical value of z at 95% CI is 1.96
Thus;
CI = 0.48 ± 1.96√(0.48 × 0.52/1000)
CI = 0.48 ± 0.031
CI = (0.449, 0.511) is the range for the percent of students who are excited to take a statistics class
Plsss help due In 5 minutes
Answer:
(2, -1)
Step-by-step explanation:
By definition, a vertex is a point where two or more curves, lines, or edges meet; just look at the graph to determine that point/relative extrema.
The owner of an Apple orchard wants to buy more trees the table below shows the cost for buying different numbers of trees. pls help me
Answer:
We conclude that the cost of 10 trees will be: $350
Step-by-step explanation:
From the table, it is clear that:
The cost of 6 trees = $210
So the cost of 1 tree = 210/6 = $35
The cost of 13 trees = $455
So the cost of 1 tree = 455/13 = $35
The cost of 18 trees = $630
So the cost of 1 tree = 630/18 = $35
Thus, the table indicates that the cost of 1 tree = $35
In other words,
unit rate = $35 per treeTherefore, the cost of 10 trees will be: 35 × 10 = $350
Thus, we conclude that the cost of 10 trees will be: $350
Refer to the figure.
If m∠BDC=(8x+12)° and m∠FDB=(12x−32)°, find m∠FDE.
Answer:
x=11
Step-by-step explanation:
And you didnt give the equation for FDE but substitute 11 in for X
P(x) = x4 – 7x3 + 14x2
+ 14x2 – 3x – 9
Find all real zeros
Step-by-step explanation:
x4-7x3+14x2-3x-9
This deals with polynomial long division.
Overview
Steps
Topics
Links
1 result(s) found
(x
2
−x−1)⋅(x−3)
2
See steps
Step by Step Solution:
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 2 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
((((x4)-(7•(x3)))+(2•7x2))-3x)-9
STEP
2
:
Equation at the end of step
2
:
((((x4) - 7x3) + (2•7x2)) - 3x) - 9
STEP
3
:
Polynomial Roots Calculator :
3.1 Find roots (zeroes) of : F(x) = x4-7x3+14x2-3x-9
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -9.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,3 ,9
Let us test ....
Consider the line y=8x-2 find the equation of the line that is parallel to this line and passes through the point (-5,2)
Answer:
the answer is y=8x+42
Step-by-step explanation:
y-y=m(x-x¹)
y-2=8(x-(-5))
y-2=8x+40
+2 +2
y=8x+42
uri plots point S at (Negative 1, 2.5). Which graph shows the location of point S?
On a coordinate plane, point S is 1 unit to the right and 2.5 units up.
On a coordinate plane, point S is 2.5 units to the right and 1 unit down.
On a coordinate plane, point S is 1 unit to the right and 2.5 units down.
On a coordinate plane, point S is 1 unit to the left and 2.5 units up.
Answer:
its A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I took the test!
Hope this helps plz give brainliest :D
john can decorate 3 christmas trees in 2 hours so how long will it take to decorate 12 christmas trees?
Answer:
8 hours
Step-by-step explanation:
3×4 is 12 so.. just take 4 and multiply by 4 as well
Answer:
8 hours
Step-by-step explanation:
[tex]Let\ the\ time\ taken\ by\ John\ to\ decorate\ 12\ Christmas\ Trees\ be\ x\\Hence,\\Through\ the\ ratio\ method\ (Of\ multiplying\ the\ means\ and\ the\ extremes;\\3:2::12:x\\3x=24\\x=8[/tex]
1. Stop guys I need help!
3 1/2 -2 1/2
Step-by-step explanation:
3 1/2 = 7 /2
2 1/2 = 5 /2
7/2 - 5/2
= 2/2 = 1
hope it helpful
A carpet store has 8 commercials every hour on a local television station. How many commercials will have in 525 hours?
Answer:
4,200 commercials
Step-by-step explanation:
525 times 8 equals 4,200
35-(-8) find the difference
[tex]Answer:[/tex]
[tex]43[/tex]
[tex]Step-by-step~explanation:[/tex]
[tex]35-(-8)[/tex]
[tex]35 + 8[/tex]
[tex]= 43[/tex]
In 1965, about 44% of the U.S. adult population had never smoked cigarettes. A national health survey of 1472 U.S. adults (presumably selected randomly) during 2010 revealed that 677 had never smoked cigarettes.Suppose you wished to test whether there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes. You suspect that the proportion has grown since 1965. Which of the following are the appropriate hypotheses?A. H0: p = 0.44, Ha: p > 0.44B. H0: p = 0.51, Ha: p In 1965, about 44% of the U.S. adult population ha 0.51C. H0: p = 0.44, Ha: p In 1965, about 44% of the U.S. adult population ha 0.44D. H0: In 1965, about 44% of the U.S. adult population ha = 0.44, Ha: In 1965, about 44% of the U.S. adult population haIn 1965, about 44% of the U.S. adult population ha 0.44
Answer:
H0: p = 0.44, Ha: p ≠ 0.44
Step-by-step explanation:
The following information is mentioned
44% of the US adult population would never smoked cigarettes so that means the proportion would be
= 44 ÷ 100
= 0.44
Now we have to check the test whether this change represent increase or decrease
So the hypothesis is
[tex]H_o: P=0.44[/tex]
[tex]H_1: P \neq 0.44[/tex]
The two tailed means
[tex]P < 0.44 \, \, or \, \, P> 0.44 )[/tex]
Find the slope of the line that passes through (4, 1) and (6, 2).
Is this a function
Yes or no
Answer:
yes.
Step-by-step explanation:
by performing the vertical line test, you can see that the line only goes through one point, so it is a function.
Answer:
yes
Step-by-step explanation:
it passes the vertical line test (you could draw a vertical line anywhere on the graph, and it wouldn't pass through the graph more than once.
Every day of the week Sam's Swim
Shop offers a different deal to its
loyal customers. If the total price
Tina paid was $66.00 and it
normally would cost $88.00, what
percent off was the daily deal?
Answer:
Step-by-step explanation:
Anyone know this ?????
Answer:
I think it would be letter C?
Step-by-step explanation:
Four mini boxes total would equal 1 in this case, so if there is one full box (4 mini boxes) that is one. Plus the extra colored box gives it the 1/3 at the end. I'm so sorry it's really hard to explain.
HELLLPPPP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!1
101 lies between.
Find two consecutive whole numbers that
Answer:
100
102
Step-by-step explanation:
Answer:
Overlap
Step-by-step explanation:
what is opposite of the opposite of -1.4
Answer:
The opposite of -1.4 is 1.4 :)
Step-by-step explanation:
Answer:
1.4
(It says I need 20 characters so I put this)
Jack is mixing a cleaning solution that is 15% bleach. After mixing the solution, Jack has 150 ounces of cleaning solution. How many ounces of bleach did Jack use?
Answer:
22.5 ounces
Step-by-step explanation:
150 times .15
I need 20 characters to post this so ignore