Answer: width is 12, length is 16
Step-by-step explanation:
A= l*w
l=w+4
A=w(w+4)
[tex]A=192\\192=w^{2} +4w\\0=w^{2} +4w-192[/tex]
factor
(w+16)(w-12)
w= -16 or w=12
width is 12, length is 16
Weather affects flights across the nation, causing delays, cancellations, and general disruption to the NAS. You have gathered a random sample of departures delayed due to weather from your airport (KXYZ) for the month of April through July. You know that across America, weather delayed an average of 59 flights per day (σ =34.83) during that time period. You want to know if weather delays on flights from your airport differ significantly from those across the nation. Your significance level is set at 0.05. Analyze the data below using the correct t-test and be sure to check assumptions of the data.
Answer the following questions:
a. What type of t test should be used to address this research question, and why?
b. What is the null hypothesis?
c. What is the alternative hypothesis?
d. What is the mean and standard deviation for amount of the population?
e. What is the mean and standard deviation for the sample?
f. What are the degrees of freedom? How do you compute it?
g. What is the effect size (Cohen’s d) if applicable?
h. What is the test value?
i. What is the t statistic?
Answer:
a.) one sample t test
b.) H0 : μ = 59.3
c.) H1 : μ > 59.3
d.) μ = 59.3 ; σ = 39.84
e.) xbar = 79.4 ; s = 61.36
Test statistic = 3.16
Step-by-step explanation:
Given the sample data:
49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00
Sample size, n = 30
Using calculator :
xbar from the data above = 79.4
Standard deviation = 61.359
H0 : μ = 59.3
H1 : μ > 59.3
Test statistic :
(Xbar - μ) ÷ (σ/sqrt(n)
σ = 34.83
(79.4 - 59.3) ÷ (34.83/sqrt(30))
20.1 ÷ 6.359
Test statistic = 3.16
Answer this please. I need it done in 5 minutes ASAP. Thank you
Answer:
x = 6
Step-by-step explanation:
Each side of the triangle = x cm
Each side of the square = (x - 1.5) cm
Given that the perimeter of both shapes are equal, thus, set the perimeter of the triangle equal to the perimeter of the square to solve for x.
Perimeter of triangle = 3(x) = 3x cm
Perimeter of square = 4(x - 1.5) = 4x - 6
Therefore:
Perimeter of triangle = perimeter of square
Substitute
3x = 4x - 6
Subtract 4x from each side
3x - 4x = -6
-x = -6
Divide both sides by -1
x = -6/-1
x = 6
Please help me with this
Answer: you should study, plus give me brainliest please. lol
Step-by-step explanation:
and the other answer might be a bot sending links to websites with malware, please dont .open the link unless you want malware on your device, if its fake. and you cant make websites/ links just to post answers. this is a warning.
Augusto wants to prove to his parents that watching TV while he does his homework will help him get better grades. He decides to ask 20 of his friends if they watch TV while they do their homework and what their grades are. He finds that his friends who have high grades also watch TV while they do their homework. He tells his parents that he has proven that watching TV while doing homework will cause his grades to improve. What mistake has Augusto made?
Answer:
Augusto was biased and only asked his friends
Step-by-step explanation:
Augusto should've asked 20 random people, since the people he hangs around the most probably have the same habits
This was not a fair collection of data
He did not use a random sample, and he tried to show cause and effect with an observational study
Determine the
circumference
when the
radius is 16.
and please show me how you got the answer
Answer:
100.48
Step-by-step explanation:
Step 1: Find the diameter
16 × 2 = 32
Step 2: Multiply by pie (Usually just 3.14)
32 × 3.14 = 100.48
Please? I really need this answer if you can
A farmer of a large apple orchard would like to estimate the true mean number of suitable apples produced per
tree. He selects a random sample of 40 trees from his large orchard and determines with 95% confidence that the
true mean number of suitable apples produced per tree is between 375 and 520 apples. Which of the following can
be accounted for by the margin of error of this interval?
OOO
response bias
nonresponse bias
sampling variation
undercoverage bias
Answer:
Sampling variation
Step-by-step explanation: took the quiz
The option that the margin of error accounts for in the given interval is sampling variation.
What is sampling variation?This refers to the fact that in a sample, there will be a difference between the variables seen.
This variation is the reason why there is a margin of error in intervals because we need to introduce a range that the relevant variable will fall into.
Find out more sampling variation at https://brainly.com/question/14514626.
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(x^2y^-2)^3/yx^-4 please help
11 points pls help moby max
Answer:
Sum of given fraction = 13 / 15
Step-by-step explanation:
Given fraction:
2/3 + 1/5
Find:
Sum of given fraction
Computation:
⇒ 2/3 + 1/5
Step 1 :
By taking LCM of Denominator 3 and 5
⇒ LCM of 3 and 5 is 15
So,
2 multiply by 5 and 1 multiply by 3 and add after multiply
Sum of given fraction ⇒ [(2 x 5) + (1 x 3)] / 15
Sum of given fraction ⇒ [10 + 3] / 15
Sum of given fraction = 13 / 15
Pls help me cri I'm almost done and it's 2 am
Answer:
Huh? what do you mean?
Step-by-step explanation:
Write your answer using integers, proper fractions and improper fractions in the simplest form
PLEASE HELP
Answer:
y = ⁷/5x + 13/10
Step-by-step explanation:
Recall: equation in slope-intercept form is given as y = mx + b
Thus, let's rewrite 14x - 10y = -13 in this form.
14x - 10y = -13
Add -14x to both sides
-10y = -14x - 13
Divide both sides by -10
-10y/-10 = -14x/-10 - 13/-10
y = ⁷/5x + 13/10
PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around. After installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. 12 + p = 42 or p - 42 = 12
Let p represent the perimeter of the play area. Which equation models the problem?
Solve this equation to find the perimeter of the play area.
_____________ feet
Answer:
The equation is P - 42 = 12
P = 54
Step-by-step explanation:
What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10
Answer:
c
Step-by-step explanation:
Ben is throwing a ball across a 48-yard field. He threw it of the way across the field. How far did Ben throw the ball?
Answer: He threw it 48 yards
Step-by-step explanation:
I apologize for the messy photo but please help me with this, I’m really confused! Thank you so so so much.
1)+4
2)-4
3) 2
4) i don't know
5)
Answer: (-2)²=4
-2²=-4
square root of 4 is 2
1 over the square root of 8 is -2
1 aquare root of -8 is 2,-2
Step-by-step explanation:plug them into calculator
I need help this is so hard.
WILL MARK BRAINLIEST W 20 POINTS
What is most likely the line of best fit for this scatter plot? Graph shows numbers from 0 to 14 at increments of 1 on the x axis and numbers from 0 to 22 at increments of 2 on the y axis. Scatter plot shows ordered pairs 1, 4 and 2, 7 and 3, 9 and 4, 10 and 5, 10 and 6, 12 and 7, 14 and 8, 15 and 9, 16 and 10, 18 and 11, 20 and 12, 22. A line labeled A joins ordered pair 0, 2.5 and 12.5, 22. A line labeled B joins ordered pairs 0, 3.5 and 14, 16. A line labeled C joins ordered pairs 0, 3.5 and 14, 11. A line labeled D joins ordered pairs 0, 4 and 14, 5.5. Line A Line B Line C Line D
Answer:
huh i dont get it
Step-by-step explanation:
Solve the simultaneous equations
4x+3y=11
2x-y=-2
Answer:
[tex]x = \frac{1}{2} [/tex]
[tex]y = 3[/tex]
Step-by-step explanation:
Multiply the bottom equation by -2.
[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]
Add the new equation to top equation.
[tex]5y = 15[/tex]
[tex]y = 3[/tex]
Know plug 3 in one of the equations to find x.
[tex]4x + 3(3) = 11[/tex]
[tex]4x = 2[/tex]
[tex]x = \frac{1}{2} [/tex]
Answer:
( [tex]\frac{1}{2}[/tex], 3 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 11 → (1)
2x - y = - 2 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
6x - 3y = - 6 → (3)
Add (1) and (3) term by term to eliminate y
10x + 0 = 5
10x = 5 ( divide both sides by 10 )
x = [tex]\frac{1}{2}[/tex]
Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y
Substituting into (1)
4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11
2 + 3y = 11 ( subtract 2 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
solution is ( [tex]\frac{1}{2}[/tex], 3 )
Help I over slept and only have one period to finish this test!!
Answer:
68°
Step-by-step explanation:
Okay, so m<8 is on the same plane as m<7 because line q is intersecting line t and that's supposed to add up to 180° so:
180° - 112° = 68°
So, m<7 = 68°
hope this helps:)
The cost of interest of a $500 loan for 12 months is $21.88. What is the
interest rate charged for the loan per year?
Answer:
4.376%
Step-by-step explanation:
$21.88/$500 x 100= 4.376%
Find the x
please will give brainliest
Solve for x using
cross multiplication.
2x=4 =
2x – 4
3
x + 1
2
x = [?]
Enter
Answer:
11
Step-by-step explanation:
cross multiply - 2(2x-4) = 3(x=1)
4x - 8 = 3x + 3
4x - 3x = 3 + 8
x = 11
Answer:
x = 11
Step-by-step explanation:
2(2x-4) = 3(x+1)
4x-8=3x+3
4x-3x=3+8
x=11
express using exponents 10^8x10^4=
Answer:
1e+12
Step-by-step explanation:
because 8 exponents of 10 would be i cannot count and 4 exponents of 10 is 10,000.
Any Questions?
Write the explicit rule
50, 45, 40, 35, 30
Answer:
a_n = 50 - 5n, for n = 1,2, 3, ...
Step-by-step explanation:
a_1 = 50
a_2 = 50 - 5 = 45
a_3 = 50 - 2 * 5 = 40
a_n = 50 - (n - 1) * 5
a_n = 50 - 5n + 5
a_n = 50 - 5n
Answer:
an = -5n + 55.
Step-by-step explanation:
This is arithmetic with common difference -5.
an = a1 + d(n-1)
an = 50 - 5(n - 1)
an = 50 - 5n + 5
an = -5n + 55.
How many fewer hot dogs were sold on Wednesday than Tuesday?
Answer:
30 hot dogs fewer.
John put $3,000 in his savings at 2% annually for 3 years. What did he earn in simple interest? A $60 B. $180 O c $600 OD. $1,800
Answer:
b
Step-by-step explanation:
Answer:
$ 180
Step-by-step explanation:
Simple Interest= P×R×T/100 ( Principal,rate,time)
So,
3000×2×3/100 (cancelling 3000 by 30)
30×2×3=30×6=180 Answer
Simplify the following expression. x(x - 3) - 4(x2 + 7)
Answer:
[tex]x^{2} -11x-28[/tex]
Step-by-step explanation:
We start of with this.
[tex]x(x-3)-4(2x+7)[/tex]
First, use the distributive property, and distribute the x to the (x-3) to get: [tex]x^{2} -3x-4(2x+7)[/tex]
Next, distribute the -4 to the (2x+7) to then get:
[tex]x^{2} -3x-8x-28[/tex]
Then, combine like terms. In this case, combine -3x and -8x since they are alike and get:
[tex]x^{2} -11x-28[/tex]
The answer is already in standard form, so we're done. To write a polynomial in standard form, write the monomial with the variable, with the largest exponent first. In this case, [tex]x^{2}[/tex] goes before [tex]-11x[/tex] because of the exponent of 2. Monomials without a variable go last, so that's why -28 is last.
Alex, Ben, Chuck, and David all called in to a radio show to get free tickets to a concert. List all the possible orders in which their calls could have been received.
The two cones below are similar. What is the height of the larger cone?
A.
28
—
5
В.
35
—
4
C.
20
—
7
D.
5
Answer:
b
Step-by-step explanation:
i dont know
its a guess
The height of the larger cone is 35/4.
What are Similar Figures?Similar figures are those figures which are having the same shape, but the sizes are different.
The dimensions of the similar figures will be proportional.
So the heights and the radius of the smaller and the larger cone are proportional.
Using the concept,
x / 5 = 7 / 4
Cross multiplying,
4x = 35
x = 35/4
Hence the height of the larger cone is 35/4.
Learn more about Similar figures here :
https://brainly.com/question/20368229
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a stereo system cost $4,800. It depreciates 12% a year. How much is the system worth after 2 years?
Answer:
$3717.12
Step-by-step explanation:
The depreciation per year is 100% - 12% = 88% = 0.88
value after 2 years = $4800 ( 0.88)² = $3717.12
Step-by-step explanation:
3717.21$ is the system worth after 2 years