Complete question :
According to one source, 49% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 61 of them were due to at least in part to pilot error. Complete parts (a) and (b) below. Test the hypothesis that the proportion of airplane accidents due to pilot error is not 0.49. Use a significance level of 0.05.
Determine the null and alternative hypotheses. H0: p Ha: p
Determine the test statistic. Z = (Round to two decimal places as needed.)
Determine the p-value.
Answer:
H0: p = 0.49
Ha: p ≠ 0.49
Zstatistic = 2.45
Pvalue = 0.015
Reject H0, there is sufficient evidence to conclude that population proportion is not 0.49
Step-by-step explanation:
Claim: proportion of airplane accidents due to pilot error is not 0.49
Null and Alternative hypothesis :
H0: p = 0.49
Ha: p ≠ 0.49
Sample size (n) = 100
Number due in part to pilot error = 61
Sample Proportion ph = 61 / 100 = 0.61
Standard Error :
√(p*(1 - p) / n))
√(0.61 * (1 - 0.61) / 100))
√(0. 61 * 0.0039)
= 0.0487749
= 0.049 ( 3 significant figure)
Zstatistic = (ph - p) / SE
Zstatistic = (0.61 - 0.49) / 0.049
Zstatistic = 2.4489795 = 2.45
Using the p value from Z statistic calculator ; α = 0.05, 2 tailed test :
P value = 0.014687 = 0.015
P value < α
0.015 < 0.05
Since the p value is less Than α,
Reject H0, there is sufficient evidence to conclude that population proportion is not 0.49
4
Mathematical
9. PRACTICE Model Math The
table shows the lengths of four
trails at a horseback riding camp.
Estimate the total length of all the
trails.
Answer:
11
need more characters
5.) On Wednesday, a restaurant serves coffee to 75 of 150 of its customers.
What percent of the customers ordered coffee?
Answer:
50%
Step-by-step explanation:
Long division
Answer:
50%
Step-by-step explanation:
To find the percent, divide 75 by 150 and multiply by 100:
75/150
= 0.5
0.5(100)
= 50
So, 50% of the customers ordered coffee
y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.
Given:
Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."
To find:
The derivative [tex]\dfrac{dy}{dx}[/tex].
Solution:
Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]
Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]
We have,
[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]
Using chain rule and quotient rule, we get
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]
Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].
A 0.0375
B 6
C 60
D 600
Can you help pleaseeee!!
Step-by-step explanation:
kfkdkdjdjdjjdjdjdjjdjdndjdjdjjdjdjdjjrjdjdjnd
6. Tasha walked 6,618 feet. What is the distance she walked in yards?
2,206 yd
O
19,854 yd
O
3 yd
226 yd
The answer is 2206.
Step-by-step explanation:
3 feet = 1 yard
so you divide 6618 by 3 to get 2206
Solve by substitution. 2x+5y = 13
3x = 7 +5y
will give brainliest
Answer:
(4.1) Equation Form: x = 4 , y = 1
Answer: (4,1)
Step-by-step explanation:
The distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by
y = 0.065x.
Complete a table of values for
x = 20, 40, 60, 80, and 100
to determine the distance the spring is compressed for each of the specified forces.
Answer:
(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}
Graph C represents the table of values
Step-by-step explanation:
To complete the table, substitute each value of x into the equation, [tex] y = 0.065x [/tex], to find each corresponding y-value.
Thus:
✔️When x = 20:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(20) [/tex]
[tex] y = 1.3 [/tex]
✔️When x = 40:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(40) [/tex]
[tex] y = 2.6 [/tex]
✔️When x = 60:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(60) [/tex]
[tex] y = 3.9 [/tex]
✔️When x = 80:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(80) [/tex]
[tex] y = 5.2 [/tex]
✔️When x = 100:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(100) [/tex]
[tex] y = 6.5 [/tex]
✔️The graph of that represents this table of values is graph C. See attachment.
Do any body know the summary for The Christmas carol act 2 scene 2?
Answer:
Act 2 of the Christmas Carol begins with Scrooge getting a visit from the ghost of Christmas present. This spirit is a jolly man filled with happiness and laughter. ... Scrooge sees Bob Cratchit's crippled son, Tiny Tim, who shows so much kindness towards everyone that it warms Scrooge's heart.
Step-by-step explanation:
your welcome
(02.01)
Solve for x
2/3(x - 2) = 4x (1 point)
Select one
2.
a
5
5
2
с
2.
5
d. 5
Answer:
x=-2/5
Step-by-step explanation:
HELP ME PLEASE !!!!!!!
Answer:
93-30=3
Step-by-step explanation:
What the expression that equivalent to (72 - 5) - (3.0 — 2)?
Answer:
The type of relationship expressed below is an INEQUALITY
Step-by-step explanation:
To solve it (though it isn't asked for but may help in the future) you would have to combine like terms.
Add 3.0 and 2, you get 5.
5 isn't greater than 10 so this inequality would be incorrect.
i need halp on this because i didnt listen in class
Listen in class next time please.
work out the value of x
Answer:
65 Degrees
Step-by-step explanation:
Answer:
X=65°
Step-by-step explanation:
Fine y =71°, alternate angle.
Find Z
71 °+ Z +65° =180°
136° + z= 180°
collect like team
Z=180°-136°
Z = 44°
Find X
Y + X + Z=180°
input the value of y and x
71° + X +44° =180°
115°+ X=180°
X = 180°-115°
X =65°
Hope it is helpful.
a professional tennis court is a rectangle that is 120 feet long and 60 feet wide. what is the area of the court? what is the perimeter?
Answer:
The area is 7200 square feet and the perimeter is 360 feet.
Step-by-step explanation:
Formulas (for easier reference):
Area of rectangle: length × width
Perimeter of rectangle: length + width + length + width
We can just apply the formulas.
Area of court = 120 × 60
= 7200 square feet
Perimeter of court = 120 + 60 + 120 + 60
= 360 feet
The soccer club had a party in a private room at a restaurant. The restaurant charged $25 for the private room, and $9 per person. The cost (C) for p people to attend the party is modeled by the equation below. C = $25 + $9p How much did it cost if 18 people attended the party?
Answer:
$187
Step-by-step explanation:
C = $25 + $9(18 people)
C = 25 + 162
C = $187
Sara Wants to Triple A recipe For Brownies. The recipe Calls For 1 1/3 cups of Flour. There are exactly 4 cups of flour left in the Canister. Will It be enough?? like this is like a Yes or No question.. I got my answer But I want to make sure I Got It Correct. Please Help!!
A gas station sells unleades regular petrol and preminum charged by station for regular is$1.299
Answer:
a. Assuming gallons of unleaded regular is denoted by r; and unleaded premium by p.
Revenue from one gallon of unleaded regular is $1.299 and from unleaded premium is $1.379.
Revenue function = 1.299r + 1.379p
b. Cost of one gallon of unleaded regular is $1.219 and for unleaded premium is $1.289.
Cost function = 1.219r + 1.289p
c. Total profit = Revenue - Cost
= 1.299r + 1.379p - 1.219r - 1.289p
= 1.299r - 1.219r + 1.379p - 1.289p
= 0.08p + 0.09p
d. If station sells 100,000 gallons of unleaded regular and 40,000 of unleaded premium;
= (0.08 * 100,000) + (0.09 * 40,000)
= 8,000 + 3,600
= $11,600
Can someone help me please? I will give brainly
Answer:106 I think
Step-by-step explanation: If its 2z+7w and z and w means 8 it makes 2z 28 and makes 7w 78 and then u add 28+78= 106
Which input value produces the same output value for
the two functions?
O x=-12
O x=9
O x=-6
Ox=-3
Answer:
-6
Step-by-step explanation:
Took test
At x = -6, both functions have the same output of 3.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We get;
f(x) = 2/3x + 7
when x = -12;
= 2/3(-12) + 7
= -8 + 7
= -1
g(x) = 2x + 15....
when x = -12
= 2(-12) + 15
= -24 + 15
= - 9
When x = -9;
f(x) = 2/3(-9) + 7 g(x) = 2(-9) + 15
= -6 + 7 = -18 + 15
= 1 = -3
When x = -6;
f(x) = 2/3(-6) + 7 g(x) = 2(-6) + 15
= -4 + 7 = -12 + 15
= 3 = 3
Thus, At x = -6, both functions have the same output of 3.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Please help I’ll give you brainliest uwu
The ratio of gas cars to
hybrid cars in the
school parking lot is 15:4. There are 12
hybrid cars in the parking lot. How many
gas cars are in the parking lot?
Answer:
I think the answer is 45
x2 - 2xy + y2 when x = 3 and y = 2
Answer:
1
Step-by-step explanation:
Substitute 3 for x and 2 for y:
3^2 - 2(3)(2) + 2^2
= 9 - 12 + 4
= 1
3^2−(2)(3)(2)+2^2
3^2−(2)(3)(2)+2^2
= 1
Check all equations that are equivalent. Q = 180(23 - 2) + 1 180 180+ Q + 300 180
A, C, and D are are all equal to a = 180n − 360, while answer B is equal to a = 180n − 180. Therefore, A, C, and D are all equivalent to each other.
help me due tomorrow at 4
A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time. Stats question, I'm really struggling here. Please help me!
Answer: 165.78 < μ < 180.22
Step-by-step explanation: Confidence Interval of a mean is a method to estimate the true population mean, i.e., we can get an interval where the true mean exists.
A confidence interval is calculated as
x ± [tex]z\frac{\sigma}{\sqrt{n} }[/tex]
z is z-score for 99% confidence, which is: z = 2.58
Then, the estimate is
173 ± [tex]2.58\frac{28}{\sqrt{100} }[/tex]
173 ± 2.58*2.8
173 ± 7.224
lower limit: 173 - 7.224 = 165.78
upper limit: 173 + 7.224 = 180.22
The 99% confidence interval of the mean is between 165.78 and 180.22 and it means that the true mean of this population is between those numbers with 99% of confidence.
Plz answer quickly will mark brainless
Answer:
652
Step-by-step explanation:
7*18*2=252 for right and left
8*18*2=288 for front and back
7*8*2=112 for top and bottom
252+288+112=652
(can I get brainliest now)
Answer: SA=652 ft^2
Step-by-step explanation:
144(2)+126(2)+56(2)=SA
288+252+112=SA
SA=652 ft^2
this might be wrong btw
Which statement best represents the distance on a number line between -14 and -5?
Answer:
C my dude. have a merry christmassss
Answer:
A
Step-by-step explanation:
Both are negative, and largest is always first.
80 Points someone please help emergency!!
Answer:
it could be (x - 2)^2 + (y - 4) ^2 = 6
Step-by-step explanation:
because the first 2 blanks are the coordinates of the center and the last one should be the radius. as long as u know the radius then u should know the last part
(x - 2)^2 + (y - 4) ^2 = 6
your welcome!
Which situation can the integer -4 represent?
Choose the correct answer below.
(A.) walking up 4 stairs
(B.) earning 4 dollars
(C.) gaining 4 yards
(D.) Walking down 4 stairs
Answer:
D
Step-by-step explanation:
because it's going down by 4 not going up so it would represent -4
the crowd at a sporting event is estimated to be 2,500 people. the exact attendance is 2,486 people. what is the percentage error?
Answer:
0.56%
Step-by-step explanation:
Percentage error
[tex] = \frac{2500 - 2486}{2500} \times 100 \\ \\ = \frac{1400}{2500} \\ \\ = 0.56\%[/tex]
The crowd at a sporting event is estimated to be 2,500 people, the exact attendance is 2,486 people, the percentage error is, 0.56%
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The crowd estimated to be 2,500 people
The exact attendance is 2,486 people
Percentage error = ?
Percentage error = (estimated value- exact value)/estimated value×100
Percentage error = (2,500 - 2,486) /2500×100
= 0.56%
So, the percentage error is 0.56%
To know more about Percentage check:
https://brainly.com/question/29306119
#SPJ1
Which of the following statements about rational numbers is false?
A. Every natural is a whole number, integer, and a rational number.
B. Every integer is a rational number.
C. A natural number is also a whole number.
D. Every rational number is also an integer
Answer:
D. Every rational number is also an integer
Step-by-step explanation:
Some rational numbers are integers, but not all of them