Answer:
The minimum sample size needed is 39.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assuming that the standard deviation of the number of hours is 120 hour
This means that [tex]\sigma = 120[/tex]
The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?
The minimum sample size needed is n.
n is found when [tex]M = 50[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]
[tex]50\sqrt{n} = 2.575*120[/tex]
[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]
[tex]n = 38.19[/tex]
Rounding up
The minimum sample size needed is 39.
HURRY FAST LOOK AT THE PHOTO TRUE OR FALSE
What is the area of this semicircle if the radius is 6m?
What is a good estimate for this angle measurement? A. 10 degrees B. 25 degrees C. 75 degrees D. 95 degrees
Answer:
C. 75 degrees
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
guys i guessed
Use triangle DEF shown below to answer the question that follows. What is the value of X rounded to the nearest hundredth?
Answer:
it might be x=63.27
Step-by-step explanation:
Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10 T. (1.9)
-10
(0, 0)
10
-101
O A. y=-*
O B. y= 18x
O C. y=9x
O D. y= -18x
1
X
O E. y = 5
O F. y=-9x
SUBMIT
The equation of the line is y = 9x. The correct answer is C.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
the points of line are (1,9) and (0,0).
Now,
In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:
m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9
Then we can use the point-slope form with any of the given points. Let’s use (0, 0):
y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x
This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.
Therefore, the equation of the line will be y = 9x.
Learn more about equations here;
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I need some help! I would really appreciate it!
Answer:
answer is A
Step-by-step explanation:
slope goes up positive 4 and it crosses the y intercept at 3 so yeg there ya go ig
I need help answering this question above! Nobody is answering it
Answer:
(54, 27)
Step-by-step explanation:
2y will represent the larger number.
2y + y = 81
3y = 81
y = 27
x = 2y
x = 2(27)
x = 54
x = 54
y = 27
(54, 27)
Unit 10: Circles ** please show how you got the answer ** i know the answer is 108° but i don’t know how to get it.
Answer:
108 degrees
Step-by-step explanation:
you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108
3.65 is greater than or less than 3and1/5
Answer:
Greater
Step-by-step explanation:
It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!
Math 3rd grade can anyone explain why is 48 ?? I thought that we need to plus 6 top 6 bottom and each side is 8 why 8 because 6+2 is 8
So 6+6+8+8 = 24
Answer:
It's 48
Step-by-step explanation:
The entire area of the rectangle would be length times width
The width is six, and the length is 8
6 times 8 is 48
btw, its asking for area
Answer:
See, its divided into TWO squares/rectangles.
you have to solve with the numbers you have on each one.
so, for the covered in shade one, you do 6 times 2, which is 12.
for the "not covered" you need to find the second number for the square. Since it has equal sides, the other side will be 6.
for that one you do 6 times 6 which is 36.
now you add both of them.
36 + 12= 48.
You added them, you need to multiply them but do not mix both rectangles/ squares numbers until the end
Select ALL TRUE statements about Linear Functions:
Group of answer choices
The degree of the function is one.
The y values change by a common difference.
The graph is a straight line.
Vertex form is used for graphing.
Step-by-step explanation:
The degree of the function is one: Correct
The y values change by a common difference: incorrect
The graph is a straight line: Correct
Vertex form is used for graphing: Incorrect
Hope that helps :)
17.
Which pair of numbers is relatively prime? *
7 & 21
4 & 15
ОООО
6 & 9
9 & 27
Answer:
9 & 27
Step-by-step explanation:
since all prime numbers above 5 end in 1,3,7 and 9then to find a prime number between say 70 and 80 the only possibilities are 71,73,77,79
Answer:
9 & 27
Step-by-step explanation:
Plz mark as Brainliest...
Help please !! need it adap
Answer:
m < Q = 40°
m < M = 60°
Step-by-step explanation:
1.) All angles in every triangle altogether equal 180°
From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)
180 - 100 = 80
80/2 = 40
2.) This is an isoceles (all angles and sides are equal) There are three angles (divide 180 by 3)
180/3 = 60
A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?
Answer:
$6510
Step-by-step explanation:
First thing that should come to mind is: What is 7% of $7000?
Well, if you don't know how to find a percent of something, this is the formula you use:
7000 x 0.07 = 490.
In the first year, they will receive 490 out of the 7000 they've invested.
7000 - 490 = 6510.
Therefore, the account balance at the end of the first year will be 6510.
The account balance at the end of first year will be equal to $6510.
What do you mean by percentage ?
Percentage is the relative value indicating one hundredth part of any quantity.
It is given that a retiree invests $7000 in a savings plan which pays 7% per year. So , it meant that we need to calculate that what is the value 7% of $7000.
So , 7% of $7000 is :
= 7000 × [tex]\frac{7}{100}[/tex]
= $490
It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.
So , the account balance at the end of first year will be :
= 7000 - 490
= $6510
Therefore , the account balance at the end of first year will be equal to $6510.
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What is the area of the following figure in square inches?
Answer, Alright the formula for a Rectangle is (A = bh) so ill do ( 13 x 8 ) = 104. Next ill do the triangle 19 - 13 is 6 which is the height of the triangle. The formula for a triangle is ( 1/2bh ) so lets do (6 x 8 ) which is 48 now lets divide it by 2...24.
24 + 104 = 128
Step-by-step explanation:
First, I split the Square from the Traingle
Second, I did base times height which equaled (104)
Third, I found the area of the triangle by base times height divided by 2.(24)
Lastly, I added the figures up which equaled 128
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!
Evaluate f^-2 g for f = 3 and g = 27.
a) 9
b) 1/3
c) 3
(3)^-2 (27)
the answer is C) 3
Will give brainliest
Find the area of this triangle.
Round to the nearest tenth.
7 in
133
13 in
[ ? ) in2
Answer:
33.3 in²
Step-by-step explanation:
Apply the formula for finding the area of triangle that has an included angle and two given sides, which is, Area = ½*a*b*Sin*C
Where,
a = 7 in
b = 13 in
C = 133°
Plug in the values
Area = ½*7*13*Sin(133)
Area = 33.2765935 ≈ 33.3 in² (nearest tenth)
are these correct???
Answer:
They are all correct.
Step-by-step explanation:
1.
1/2(b)(h)
1/2(4)(6)
1/2(24)
12
2. l x w
7 x 5
35
3. (b)(h)
(8)(4)
32
P=(L+B), then B=_____?
Answer:
P = L+B
B = P-LHope it helps
Professor Gym conducts a study in which he determines that there is a correlation of +1.32 with 15 degrees of freedom between the speed of a dodge ball and the welt inflicted on the arm of the dodge ballers. He has now come to you for help with interpreting his results. What can you tell him?
Answer:
Formula
r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}
r = correlation coefficient
x_{i} = values of the x-variable in a sample
\bar{x} = mean of the values of the x-variable
y_{i} = values of the y-variable in a sample
\bar{y} = mean of the values of the y-variable
now try btw use a calcutator
I have no clue how to do this! please help me!!!
Answer:
The equation has one solution.
A value of x that makes the equation true is 5, which when substituted into the equation and simplified makes the equation turn into 10=10
A value of x that makes the equation false is 6, which when substituted into the equation and simplified makes the equation turn into 12=10
Step-by-step explanation:
2x=10
Divide both sides by two:
2x/2=10/2
x=5. There is no other solution to the equation, because 5 is the only possible answer.
What is the name of the object pictured below?
Answer:
b
Step-by-step explanation:
Answer: D) KJ
Step-by-step explanation:
The object shown is a ray. It has a fixed starting point, but does not have an endpoint.
56 + 72 = ( + )
help plz
Answer:
128 = +
Step-by-step explanation:
56 + 72 = 128 (+)
I can't figure this problem out- Please help me
Answer:
68 in^2
Step-by-step explanation:
the shape is a trapezoid
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² = 6² + height²
100 = 36 + height²
height = 64
the square root of 64 is 8
the height is 8
1/2 x (8 + 9) x 8 = 68in^2
Select all numbers that have and absolute value of 0.6
Please answer soon!!!
What is the range of y=4sin(x)-2
Answer:
According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.
Step-by-step explanation:
Omlll, I'm actually stuck rn xD If anyone can help,i'd appreciate it so much!! Tyssmm!!!!!
Answer: it’s acute
Step-by-step explanation:
the second one lollollol
Anna charges $8.50 an hour to babysit how long will it take to make $51.00
Answer:
6 hours
Step-by-step explanation:
$51.00 ÷ $8.50 = 6 hours
hope this helps ! :))
Someone actually help me w this ☝
Answer
Sorry If this is not correct, but I believe you keep the X varriable the same and multiply the Y varriable by 4. This means it will move to the right on the grid.
New coordinates: G(3,4) T(1,4) B(3, 20)
