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
Match each decimal with its percent equivalent.
1. 1.5 10%
2. 0.15 15%
3. 0.01 150%
4. 0.1 1%
Answer:
1.5 = 150%
.15 = 15%
.01 = 1%
.1 = 10%
Please give brainliest
Answer:
1.5 = 150%
.15 = 15%
.01 = 1%
.1 = 10%
Step-by-step explanation:
use the table to find the slope
Una familia, formada por 3 adultos y 6 niños, va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €. Por cada 3 entradas que se compran rebajan 4 €. ¿Cuánto paga la familia?
Answer:
La familia paga 72 €.
Step-by-step explanation:
Una familia, formada por3 adultos y 6 niños , va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €.
Entonces, para calcular el precio que deben pagar los adultos se debe multiplica la cantidad de adultos que asisten al Parque de Atracciones por el precio de una entrada de adultos.
3 adultos* 12 €= 36 €
Para calcular el precio que deben pagar los niños se debe multiplica la cantidad de niños que asisten al Parque de Atracciones por el precio de una entrada de niños.
6 niños* 8 €= 48 €
Sumando el total pagado por la entrada para adultos y para niños se obtiene:
36 € + 48 €= 84 €
La familia debería pagar 84 €. Pero por cada 3 entradas que se compran rebajan 4 €. En este caso se deben pagar 3 entradas para adultos y 6 para niños, es decir que se deben pagar 9 entradas en total. Por lo que la familia debe pagar 3 "packs" de 3 entradas. Entonces, se rebaja:
3 "packs" de 3 entradas* 4 €= 12 €
Entonces, del total a pagar por la familia se debe restar la rebaja que el parque realiza:
84 € - 12 €= 72 €
Finalmente, la familia paga 72 €.
Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set, and P = {1, 3, 5, 7}. What is upper P superscript single-quote baseline? (1 point) A. {2, 4, 6, 8} B. {1, 2, 3, 4, 5, 6, 7, 8} C. {1, 3, 5, 7} D. {1, 3, 5, 7, 8}
Answer:
A. {2, 4, 6, 8}
Step-by-step explanation:
"U" is the set of whole numbers form 1 to 8
"P" is the set of odds within that, so that leaves P' as the evens.
Which fraction is not equivalent to 9/12
PLEASE HURRY
Answer:
1/2
1/2 = 50%
9/12 = 75%
Step-by-step explanation:
A coat has a regular price of $38 it is marked down 25% what is the sales price of the coat
28.5
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PLEASE HELP
An 18 ounce jar contains 510 grams of grape jelly. How many kilograms of grape jelly does the jar contain?
1 kg = 1000 grams
A) 5.1 kg
B) 0.52 kg
C) 0.51 kg
D) 51 kg
Answer:
the answer is 5.1 killograms
Step-by-step explanation:
hope this helps
32 + -3 • 4 – (–5) =
Answer:
The correct answer would be 25
Step-by-step explanation:
32+(−3)(4)−(−5)
=32+−12−(−5)
=20−(−5)
=25
Hope this helps have an amazing day!!
Answer:
121
Step-by-step explanation:
32+(-3)×4-(-5)
29×4-(-5)
116-(-5)
116+(+5)
121
Solve the equation:
2x+1>7
Answer:
-3 and infant soultion
Step-by-step explanation:
please since i gave u answer can u answe my recent question
Dr. Brown did 6 experiments at 7AM. Dr. Rachal did 8 experiments at 6PM. They both had 564 tools each. Dr. Brown used 386 and Dr. Rachal used 236. How many more experiments do they do with the tool? How many tools are left?
Answer:
Step-by-step explanation:
Total number of tools for both = 564.
Dr Brown used 386 tools for 6 experiments.
average number of tools per experiment used by Dr Brown = [tex]\frac{386}{6}[/tex]
= 64[tex]\frac{1}{3}[/tex]
Dr Rachal used 236 tools for 8 experiments.
average number of tools per experiment used by Dr Rachal = [tex]\frac{236}{8}[/tex]
= 29[tex]\frac{1}{2}[/tex]
i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64[tex]\frac{1}{3}[/tex])
= 2.7668
Dr Brown can do two more experiments.
The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29[tex]\frac{1}{2}[/tex])
= 11.1186
Dr Rachal can do 11 more experiments.
ii. Number of tools left after Dr Brown's experiments = 564 - 386
= 178
Number of tools left after Dr Rachal's experiments = 564 - 236
= 328
SOLVE ASAP:
mass of 42.5 and a volume of 5.4 cm3 what is its density
Answer:
7,870,370
give me brainliest
Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)
are these answers right?
Answer:
Yes, good job! :)
What is the compliment of a 45 degree angle
The complement of 45° is the angle that when added to 45° forms a right angle (90° ).
suppose that an individual has a body fat percentage of 14.4% and weighs 128 pounds. How many pounds of his weight is made up of fat? round your answer to the nearest tenth.
plz help fast!!
The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d?
A) 4 km
B) 9 km
C) 48 km
D) 16 Km
Answer:
D. 16 km
Step-by-step explanation:
Hope this helps!
Question 2 of 20
Which of the following is the range of the function based on the input-output
table below?
Hours
of training
5
10
15
Pay
per month
1100
1200
1300
20
1400
25
1500
30
1600
1700
35
A. (1100, 1200, 1300, 1400, 1500, 1600, 1700}
B. 1700, 35,1600, 30, 1500,25)
C. (5.10, 15, 20, 25, 30, 35)
D. (5, 1100, 15.1200, 25, 1300)
Given:
The function on the Input output table.
To find:
The range of the given function.
Solution:
We know that, range is the set of output values.
From the given table it is clear that, hours of training is the input variable and pay per month is the output value.
So, range of the given function is the set of pay per month.
Range = {1100, 1200, 1300, 1400, 1500, 1600, 1700}
Therefore, the correct option is A.
6. Michelle orders cupcakes that come in a carboard box. The box has the dimensions shown. What is the perimeter of the base? b. What is the height of the box? What is the area of the base
9in,10in,11in
iogmkiuAnswer:
Step-by-step explanation:
gjkih
need help again math 7th grade
Answer: 1/2 as a fraction
.5 as a decimal
Step-by-step explanation: The probability of them rolling a number would be 3/6 or simplified 1/2 because if there is a 6 sided dice the denominator would be 6 and there are 3 odd numbers on the dice which are 1,3,and 5 so if u have to simplify it would be 1/2 if not 3/6. Also 1/2 as a decimal would be .5
Answer:
Fraction: 1/2, Decimal: 0.5
Step-by-step explanation:
From numbers 1 to 6, 3 of them are odd numbers, 1, 3, and 5
So 3/6 of the numbers are odd numbers, now we have to see if we can simplify 3/6, which u can, 3/6 = 1/2
1/2 is ur fraction, to find ur decimal divide 1 by 2, and u get 0.5
Tora took a short trip of 320 miles. He stopped to have lunch after he had driven 120 miles. Write the fraction of the trip he had completed by lunch in simplest form. Then write the fraction as a decimal.
Answer:
The fraction of the trip completed is ³/₈
The fraction of the trip completed in decimal form is 0.375
Step-by-step explanation:
Given;
total trip to be completed by Tora, = 320 miles
distance completed by Tora, = 120 miles
The fraction of the race that Tora has completed is given as;
[tex]= \frac{distance \ completed}{total \ distance} \\\\= \frac{120}{320}\\\\= \frac{12}{32} \ (divide \ both \ numerator \ and \ denominator \ by \ 4)\\\\= \frac{3}{8}[/tex]
As a decimal the fraction is written as;
[tex]\frac{3}{8} = 0.375[/tex]
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
?:(
Answer:
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
Step-by-step explanation:
According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:
[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:
[tex]x_{B} = 1.25\cdot (14)[/tex]
[tex]x_{B} = 17.5[/tex]
[tex]y_{B} = 0.75\cdot (21)[/tex]
[tex]y_{B} = 15.75[/tex]
From (2):
[tex]m = \frac{15.75-21}{17.5-14}[/tex]
[tex]m = -\frac{3}{2}[/tex]
By (1):
[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
a force of 12N acts for 5 s on a mass of 2 kg. What is the change in momentum of a mass of 10kg under the same condition
Answer:
The change in momentum is: 60 N.s
Step-by-step explanation:
By Newton's second law:
F = ∆p / ∆t
Given that
∆t = 5sF = 12NUsing the formula to determine the change in momentum
F = ∆p / ∆t
∆p = F × ∆t
= 12 × 5
= 60 N.s
Therefore, the change in momentum is: 60 N.s
Can someone help me?? The question is in the pic
Answer:
first one has 1 solution, second one have infinity solutions, third one has no solutions and the last one has 1 solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
One solution:
[tex]\frac{1}{5}f-\frac{2}{3 }= \frac{-1}{5}f+\frac{2}{3}\\\\[/tex]
4a -3 +2a = 7a - 2
Infinitely many solution:
-1.7v + 2.8 = 1.4v-3.1v + 28
No solution:
express cos6mcos2m as a sum or difference
Given :
An expression (cos 6m)(cos 2m) .
To Find :
We need to express it in terms as sum or difference.
Solution :
We know,
cos( A + B ) = cosA cos B - sin A sin B
cos( A - B ) = cosA cos B + sin A sin B
Adding both the equations we get :
2cos A cos B = cos( A + B) + cos( A - B )
or
cos A cos B = cos( A + B) + cos( A - B )/2
Putting value of A = 6m and B = 2m in above equation, we get :
(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2
(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2
Hence, this is the required solution.
What is the interest you will pay if you borrowed $550 at 8% interest for 3 years?
Answer:
132
Step-by-step explanation:
it is
Simple interest is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
The interest that will be paid after 3 years with 8% interest is $132.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
We have,
P = $550
R = 8%
T = 3 years
SI = (P x R x T) / 100
SI = (550 x 8 x 3) / 100
SI = $132
Thus,
The interest that will be paid after 3 years with 8% interest is $132.
Learn more about simple interests here:
https://brainly.com/question/25845758
#SPJ2
Round the numbers to estimate the quotient.
29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction
Which numbers should be used?
÷
The estimated quotient is
Answer: 29 divided by 5 5 4/5
Step-by-step explanation: EDGE 2022
Solve the equation 8(3x - 6) = 6(4x + 8). Does the equation have one solution, no solution, or infinitely many solutions? Explain. ( worth two point, answer and explanation)
⠀⠀⠀⠀
Equation have No solutions
⠀⠀⠀⠀
______________________
⠀⠀⠀⠀
➤ How to solve ?⠀⠀⠀⠀
For solving such problems we need to recall equations .
⠀⠀⠀⠀
When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .
⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
⠀⠀⠀⠀
SolutiOn :➠ 8( 3x - 6 ) = 6(4x + 8 )
➠ 24x - 48 = 24x + 48
Now, we will bring the variable on left hand side and constants on right hand side
➠ 24x - 24x = 48 + 48
➠ 0 = 48 + 48
➠ 0 = 96
As we can see the equation have end with a undefined value the equation have no solutions
➠ No Solutions
━━━━━━━━━━━━━━━━━
Question 8 HELPPPPPPPPPPPPPP
Answer:
it would be at 3
cause double negatives cancel out- if u c something like -- or -(-) they would become a positive- so you would plot it at positive 3
hope this helps (again lol)
<33
Step-by-step explanation:
Answer:
plot at 3
Step-by-step explanation:
a negative number times another negative number will result in a positive number
therefore, - (-3)=3
NEED HELP ASAP, WILL GIVE BRAINLIEST
What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)
Given:
The equation of circle is
[tex](x+3)^2+y^2=9[/tex]
To find:
The polar form of given circle.
Solution:
We have,
[tex](x+3)^2+y^2=9[/tex]
[tex]x^2+2(x)(3)+(3)^2+y^2=9[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex](x^2+y^2)+6x+9=9[/tex]
Subtracting 9 from both sides, we get
[tex](x^2+y^2)+6x=0[/tex]
We know that, [tex]x^2+y^2=r^2[/tex] and [tex]x=r\cos \theta[/tex].
[tex]r^2+6(r\cos \theta)=0[/tex]
[tex]r(r+6\cos \theta)=0[/tex]
[tex]r=0[/tex] and [tex]r+6\cos \theta=0[/tex]
We know that, r is radius it cannot be 0. So,
[tex]r+6\cos \theta=0[/tex]
[tex]r=-6\cos \theta[/tex]
Therefore, the correct option is A.
A store sells 4 T-shirts for $38.64. What is the unit cost per T-shirt?
Answer:
9.66
Step-by-step explanation:
38.64/4
9.66