Answer: 0.9887
Step-by-step explanation:
Let p be the probability that flights are on time.
As per given, p =70% = 0.7
Sample size : n = 8
Let x be a binomial variable that represents the number of fights are on time ( i.e. success).
Using binomial formula: [tex]P(X=x) = \ ^nC_xp^x(1-p)^{n-x}[/tex]
Now, the probability that at least 3 flights are on time = [tex]P(X\geq 3)=1-P(X<3)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\=1-[^8C_0(0.7)^0(0.3)^8+^8C_1(0.7)^1(0.3)^7+^8C_2(0.7)^2(0.3)^6]\\\\=1-[(0.3)^8+8(0.7)(0.3)^7+\dfrac{8!}{2!6!}(0.7)^2(0.3)^6]\\\\=1-[0.00006561+0.00122472+0.01000188]\\\\=1-0.01129221\\\\=0.98870779\approx\ 0.9887[/tex]
The probability that at least 3 flights are on time = 0.9887
3. Heights of 1-year-old girls are Normally distributed, with mean 30 inches and standard deviation of 1.2 inches. A company claims that taking 500 mg of vitamin C makes girls taller. In a random sample of 100 baby girls who were given 500 mg vitamin C daily from birth to 1 year, the mean height was 30.1 inches. Is this evidence for the company’s claim? Assume the standard deviation remains the same. To make this determination, calculate and interpret the p-value for the appropriate test.
Answer:
The p- value is [tex]p-value = 0.2033[/tex]
Its interpretation is
As [tex]p-value > \alpha[/tex]
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to support the company claims at a level of sign9ificance of 0.05
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 30 \ inches[/tex]
The standard deviation is [tex]\sigma = 1.2 \ inches[/tex]
The sample size is n = 100
The sample mean is [tex]\= x = 30.1[/tex]
Let assume the level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu \le 30[/tex]
The alternative is [tex]H_a : \mu > 30[/tex]
Generally the test test is mathematically represented as
[tex]z = \frac{\= x- \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{30.1- 30 }{\frac{1.2}{\sqrt{100} } }[/tex]
=> [tex]z = 0.83[/tex]
Generally from the z-table the probability of (Z > 0.83 ) is
[tex]p-value = 0.2033[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to support the company claims at a level of sign9ificance of 0.05
Find 4 consecutive odd numbers whose sum is 112
Answer:
25, 27, 29, 31.
Step-by-step explanation:
25+27+29+31= 112
The new number, 550, is 200 more than the original number. What is the approximate percent change?
The percent change is approximately 33%.
The percent change is approximately 55%.
The percent change is approximately 150%.
The percent change is approximately 175%.
Answer: I believe the answer is b. 55%
Step-by-step explanation:
200/ (550-200) * 100
Answer:
Ps the answer IS 55%
Step-by-step explanation:
Just took quiz on edg 2020
how do u write 2.25 in standard form?
9514 1404 393
Answer:
2.25
Step-by-step explanation:
The number 2.25 is already in standard form.
___
In the US (and other places), "standard form" is an ordinary decimal number, with the integer part to the left of the decimal point and the fractional part to the right of the decimal point: 2.25.
In the UK (and other places), "standard form" is a number written in scientific notation with a mantissa consisting of the leading non-zero digit to the left of the decimal point, the remaining significant digits to the right of the decimal point, and a multiplier that is 10 to the power appropriate to the place value of the leading digit. When the multiplier is 1, we need not write it.
2.25 = 2.25×10⁰ (full form) = 2.25 (with superfluous 10⁰ removed)
A government may create and regulate natural monopolies because:
Answer:
they can handle the costs of providing essential services
Step-by-step explanation:
A government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to own citizens.
Given that,
A government may create and regulate natural monopolies because:,
The incomplete statement is to be complete.
An authority or claim controlled by the all-around people as the result of a constitution, law, ordinance, judicial precedent, or another type of law.
Here,
A government in any country has one motto rule of the country is to the people, for the people, and of the people. Whatever government does suppose to be for the welfare and proper livelihood in the country for its citizens. So in this manner,
Thus, a government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to its own citizens.
Learn more about rights here,
https://brainly.com/question/8903161
#SPJ5
Jeff places a pineapple with mass of 890g on a balance scale. He balances the scale by placing 2 oranges, an apple and lemon on other side. Each orange weighs 280g. The lemon weighs 195g less than each orange. What is the mass of the apple?
Answer:
bnbvmnbnjnmbkjbvkjhbjn
Step-by-step explanation:
lnjkkllknnhljknk
Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)
Answer:
Equal angles; Vertical angles ( which means equal ) ; Angles do not share special relationship; and right angles.... Hope this helps!
Step-by-step explanation:
Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy
of Rectangle A and is multiplied by the scale factor 7. What are the
dimensions of Rectangle B?
Suppose you have 3 quizzes and want an average of 7 points. List at least five ways this average can be accomplished. keep in mind that each score can be no more than 10 points.
Answer:
4,9,8 = 4+9+8 = 21
9,9,3 = 9+9+3 = 21
6,7,8 = 6+7+8 = 21
8,8,5 = 8+8+5 = 21
5,7,9 = 5+7+9 = 21
Step-by-step explanation:
The question says you get 7 points per quiz out of 3 quizzes.
7+7+7 = 21
Now that we know that we need a total score of 21, we therefore need to distribute it among the three quizzes.
Remember;
None of these scores are to be higher than 10. We need to add up scores below 10.
4,9,8 = 4+9+8 = 21
9,9,3 = 9+9+3 = 21
6,7,8 = 6+7+8 = 21
8,8,5 = 8+8+5 = 21
5,7,9 = 5+7+9 = 21
All of these gives 7 as average.
2.685
x 102
Expanded form
Answer:
2.685 + 2.685 + 2.685 + 2.685 + 2.685 + 2.685. . . . . 102 times.
Step-by-step explanation:
Think of this as 102 times of 2.685.
So you would add 2.685 together 102 times.
(I didn't want to type out 2.685 that many times)
Hope I helped :)
Please consider Brainliest :)
The Acme Battery Company has developed a new cell phone battery. On average, the battery lasts 60 minutes on a single charge. The standard deviation is 4 minutes. Suppose the manufacturing department runs a quality control test. They randomly select 7 batteries. The standard deviation of the selected batteries is 6 minutes. a. What would be the chi-square statistic represented by this test? b. What are the degrees of freedom for the chi-square statistic? c. Suppose they repeated the test with a new random sample of 7 batteries. What is the probability that the standard deviation in the new test would be greater than 6 minutes? (Use the applet)
Answer:
X² = 13.5
Degree of freedom = 6
0.04
Step-by-step explanation:
Give the following :
Number of samples (n) = 7
Population standard deviation (σ) =.4 minutes
Sample standard deviation (s) = 6
Mean battery life = 60 minutes
A) Chisquare (X²) :
X² = ((n - 1) * s²) / σ²
X² = ((7 - 1) * 6²) / 4²
X² = (6 * 6²) / 4²
X² = (6 * 36) / 16
X² = 216 / 16
X² = 13.5
B.) The degree of freedom:
degree of freedom = n - 1
Degree of freedom = 7 - 1 = 6
C.) using a chisquare distribution calculator :
With degree of freedom (df) = 6
X² = 13.5
Hence,
P(X² > 13.5) = 0.04 ( from calculator)
Which is equal to 0.63?
Answer:
63%
Step-by-step explanation:
A percentage is x/100. So 0.63 = x/100. So multiply by 100, and you'll get 63%.
PLZ HELP FAST
Suppose x and y give the populations of two different cities where x >y and y > 0. Compare the expressions and select which of the given pair is greater. X/ x +y (select) x+y /X
Answer:
(x + y)/x is greater than x/(x + y)
Step-by-step explanation:
Given.
x > y
y > 0
Required
Which is greater?
x/(x + y) or (x + y)/x
Since x is greater than y & y > 0
Then definitely,
x + y > x
By the above analysis:
(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)
While
x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.
All improper fractions are greater than all proper fractions,
Hence:
(x + y)/x is greater than x/(x + y)
To further explain this:
Take
x = 3 and y = 2
x/(x + y) = 3/(3 + 2) = 3/5 = 0.6
(x + y)/x = (3 + 2)/3 = 5/3 = 1.67
See that (x + y)/x is greater than x/(x + y)
And this is so for all values of x and y
Where x > y and y > 0
Answer:
is less than
Step-by-step explanation:
Graph the line passing through (-6,-3) whose slope is m=2
Answer:
Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.
Step-by-step explanation:
Start by plotting the point (−6,−3). Use the slope formula m=rise/run to identify the rise and the run.
m=2
rise/run = 2/1
rise = 2
run = 1
Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.
A cash register contains q quarters. Write an algebraic expression that represents the total amount of money (in dollars).
Answer:
0.25q
Step-by-step explanation:
A cash register is a machine used in small business that sums, display and records the total amount made by each sale. A cash register also has a drawer which is used to store money.
A quarter is a coin in the United States which is 25 cents.
Converting 25 cents to dollars:
100 cents = $1
25 cents = 25 cents × $1 / 100 cent = $0.25
The total amount of money registered = number of quarters × $0.25
The total amount of money registered = q × $0.25 = 0.25q
Help plz Easy math I know the answer isn’t A
Answer: B
Step-by-step explanation: It is greater or equal to -6 and less than or equal to 5.
Help!NOW please!! I’ll do anything!
Answer:
16 1/2
Step-by-step explanation:
find the absolute value of both and add them, there's you answer
Answer:
re08uwahrewrai098nyryvrhheuaviufvsdsavad <<< Don't do this please
-16 1/2 units away
Anyone ??? Help with this one
Answer:
(4x-3y)(4x+3y)
Step-by-step explanation:
This is a difference of squares equation. As it says, ([tex]x^{2} -y^2[/tex]) is equal to (x-y)(x+y)
Simply apply the formula to your numbers, [tex]16x^{2} -9y^2[/tex].
It gives the hint of [tex]16x^{2}[/tex] is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.
Now, you need to do (4x-3y)(4x+3y)
Hope this helps
How many solutions does this problem have 7(y+3)=5y+8
Answer:
7(y+3)=5y+8
y= -3/2 One solution
Step-by-step explanation:
Ella and some friends are going to a movie. Each movie ticket costs $5. Create an equation that shows the relationship between how many friends, n, attend the movie and the total cost in dollars, c.
Answer:
lets say ella and 3 other friends went, so since there is 4 people in total, there will be 4 $5 dollar tickets, so you multiply 5 and 4 which is $20.
Step-by-step explanation:
-74.25
That the right answer
Answer:
Okay...
Step-by-step explanation:
Find the solution of the system of equations . - 5x + 9y = 11 x - 3y = - 7
how do i solve this
Answer:
Solution: x=5, y=4
Step-by-step explanation:
System of Equations
We need to solve:
- 5x + 9y = 11
x - 3y = - 7
There are several ways to solve a system of linear equations. We'll take advantage of the second equation since it has the x with coefficient 1 and solve it for x:
x = - 7 + 3y
Now replace it into the first equation:
- 5(- 7 + 3y) + 9y = 11
Operate:
35 - 15y + 9y = 11
Simplify:
35 - 6y = 11
Rearrange:
- 6y = 11 - 35 = -24
Solve:
y = -24 / -6
y = 4
Finally, since
x = - 7 + 3y
x = - 7 + 3*4
x = - 7 + 12
x = 5
Solution: x=5, y=4
Which number has the lowest value?
A1/5B0.25C0.21D1/3
Answer:
A
Step-by-step explanation:
Answer:1/3 is bigger
Step-by-step explanation:
f) graph the function in part e. (10 points)
Answer:
Step-by-step explanation:
Given: $1.99 as the fee per book (slope) & fixed fee of $3 (y-intercept)
The function can be written out f(x) = 1.99x + 3.
Express the value of f(x) for x = 0.
This would cancel out the slope, giving us a horizontal line on (0, 3).
f(0) = 1.99(0) + 3
f(0) = 3
You can try to graph the function using a software or by hand.
The graph is continuous because the x-values can have any input as a point.
Place the terms into the correct column that describes the reactions of photosynthesis.
Word bank:
Processes: ATP Synthase, Calvin Cycle, Electron Transport Chain, Photosystem I, Photosystem II
Locations: Stroma, Thylakoids membrane
Reactants: ADP, ATP, Carbon Dioxide, NADP+, NADPH, Sunlight, Water
Products: ADP, ATP, NADPH, NADP+, Oxygen, Sugars
Answer:
Please find the correct placement in a tabular format in the attached image. The explanation has been done below.
Step-by-step explanation:
The process of photosynthesis occurs in two stages viz: light-dependent and light-independent reactions.
- In the light-dependent reaction, which occurs in the THYLAKOID MEMBRANE of the chloroplast, energy from SUNLIGHT is used to breakdown WATER to release electrons in order to synthesize ATP and NADPH from ADP and NADP+. In a nutshell, the processes involved in this stage are Electron transport chain, photosystem I, photosystem II, and ATP synthase.
- In the light-independent stage, also called CALVIN CYCLE, the ATP, NADPH, and CO2 are used as reactants to synthesize SUGAR (glucose), NADP+ and ADP (which goes back to the first stage) as products.
what is 8 plus 8 over 1 with the power of 4
65,536 welcome :))))))
Selina didn't use the distributive property correctly. Where did she go wrong? Explain your thinking.
Answer:
PEMDAS
Step-by-step explanation:
Well, I don't know if there should be a picture of the problem that should go with the question. But a trick for solving distributive property is to use the trick PEMDAS In order.
For Example:
P-Paraenthese
E-Exponent
M-Multiply
D-Divide
A-Add
S-Subtract
NOTE!
Remember to always Multiply and divide BEFORE adding and subtracting.
Hoped this helped!
P.9.115
A local bank charges $9 per month plus 24 per check. The credit union charges $7 per month plus 4e per chock. How many checks should be written each month to make the credit union a bottor deal?
The credit union is a better deal when writing or fower checks per month
This question was not properly written
Correct Question
A local bank charges $9 per month plus 2c per check. The credit union charges $7 per month plus 4cper check. How many checks should be written each month to make the credit union a better deal?
The credit union is a better deal when writing fewer checks per month
Answer:
Writing between 0 to 99 checks makes the credit union a better deal.
Step-by-step explanation:
Let the number of checks be represented by x
Note, 1 cent = $0.01
A local bank charges $9 per month plus 2c per check.
2c = $0.02
$9 + 0.02× x
= 9 + 0.02x
The credit union charges $7 per month plus 4c per check.
4c = $0.04
= $7 + 0.04 × x
= 7 + 0.04x
The credit union is a better deal when writing fewer checks per month
Hence:
Credit union < Local bank
7 + 0.04x < 9 + 0.02x
Collect like terms
0.04x - 0.02x < 9 - 7
0.02x < 2
x < 2/0.02
x < 100 checks
Hence, writing less than 100 checks (i.e writing between 0 to 99 checks) makes the credit union a better deal.
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 120 degrees.
What is the length of the arc?
Answers:
6.28 ft 09.42 ft
18.84 ft
28.26 ft
Answer:
A) 6.28ft
Step-by-step explanation:
r = 3ft
θ = 120°
Arc length = θ ⋅ (2πr/360)
Arc length = 120° ⋅ (2π ⋅ (3/360))
6.2831853
i hope this explains it, pls mark brainliest
divide and answer in simplest form: 1/3 divided by 5
Answer:
1/15
Step-by-step explanation:
1. You can divide 1/3 by 5 by changing the division symbol to its reciprocal, multiplication, and also divide by the reciprocal of the number after the symbol, 5. The reciprocal of 5 is 1/5.
2. Now you can do 1/3 multiplied by 1/5. Multiply the numerators by the denominators. The numerators are 1 and 1, so you multiply 1 by 1 which equals 1. Now you multiply the denominators, 3 and 5, which is equal to 15. If the numerator is now 1, and the denominator is 15, the new fraction is 1/15, getting you to your answer