Complete question :
It is desired to check the calibration of a scale by weighing a standard 10 g weight 100 times. Let µ be the population mean reading on the scale, so that the scale is in calibration if µ = 10. A test is made of the hypotheses H0:µ = 10 versus H1:µ ≠ 10. Consider three possible conclusions: (i) The scale is in calibration, (ii) The scale is out of calibration, (iii) The scale might be in calibration.
Which of the three conclusions is best ifH0 is rejected?
Answer:
The scale is out of calibration
Step-by-step explanation:
The null hypothesis ; H0
H0 : μ = 10 ; if this hold true, then the scale is in calibration
Alternative hypothesis ; H1
H1 : μ ≠ 10 ; if this holds true, then the scale is out of calibration
If the Null hypothesis, H0 is rejected, it means that, there is significant evidence to support the alternative hypothesis ; that the scale is out of calibration.
Hence, the best conclusion is that, the scale is out of calibration.
Generating Equivalent Expressions
Simplify the expression
by applying the distributive property & combining like terms.
Show work.
6(x + 4y) + 3x - 20y
Answer:
9x +4y
Step-by-step explanation:
step 1 : parentheses are priorities
so multiple the 6 to the parentheses
6x + 24y +3x -20y
combine the x's together
6x +3x + 24y -20y
9x + 4 y
Answer:
[tex]9x + 4y[/tex]
Step-by-step explanation:
1) Expand by distributing term.
[tex]6x + 24y + 3x - 20y[/tex]
2) Collect like terms.
[tex](6x + 3x) + (24y - 20y)[/tex]
3) Simplify.
[tex]9x + 4y[/tex]
Hence, the answer is 9x + 4y.
Which is the standard form of the equation with p = 26, theta = 3pi/4?
A. sqrt2x-sqrt2y=0
B. sqrt2x-sqrt2y + 52-0
C. sqrt2x + 52=0
D. sqrt2x + 52y=0
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:
PLEASE HELP WITH THESE QUESTIONS! WILL GIVE 100 POINTS!
1. a single die is rolled two times. what is the probability that the next role will role four?
2. toms scores were: 80,80,70 and 90. what was his weighted average if the tests were weighted at 1,2,3,4 and 4 respectively?
Answer:
1. 1/6 2. 80
Step-by-step explanation:
Answer:
Step-by-step explanation:
collect like terms
14. x2 + 2x - x - 2
Answer:
the answer is 3x minus 2 because when u combine the x terms it's 3x and 2 doesn't have any other like term
what is the domainof f(x)=4^x
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Domain of given function is set of real numbers
How many sides does a polygon have if the sum of its interior angle measures is
7380°?
43
if so, use the formula for sum of interior angles in a polygon to solve. 7380 = (n - 2)(180), where n is the number of sides. The number of sides of the polygon is 43.
There are 43 sides in a polygon, if the sum of its interior angle measures is 7380°.
What is Polygon?A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane.
We have to find the number of sides in a polygon.
The sum of its interior angle measures is 7380°
The sum of the interior angles of a polygon can be calculated using the formula S = (n - 2) x 180°
where n is the number of sides of the polygon
7380 = (n-2)×180
We have to solve for n
Divide both sides by 180
7380/180=n-2
41=n-2
Add 2 on both sides
43 = n
Hence, there are 43 sides in a polygon, if the sum of its interior angle measures is 7380°.
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1 4/8 - 7/8 what is the answer
Answer:
0.875
Step-by-step explanation:
have a good day/night
may i please have banilliest
thank u
sorry if wrong
ANSWER pls As fast as you PLS
Step-by-step explanation:
MULTIPLY length x width x height
Simplify it and please show work
1) 16
2) -6 -(-17) = -6 +17= 11
3) 19 -(-2) = 19 + 2 = 21
4) -13 + 20 = 7
5) -22
6) -9
7) -19
8) -6
9) -17
10) -20
11) -15 -(-10) = -15 + 10 = -5
12) -1
13) 30
14) 11 -(-9) = 11 + 9 = 20
15) 16
16) -21
pls help me on them all
Because the dividend is the same for all three expressions the larger the Divisor the__the quotient
Worth 100 points false info or just to take the points you will be reported
i need your help on this question
Answer:
c, cause yeah
Answer:
C: a quadrilateral with exactly one pair of parallel sides
1. Use the three-dimensonal figure to draw the orthographic projection for each indicated viewpoint or perspective.
a. Front view
b. Back view
c. Bottom view
d. Top view
Answer:
I kinda color coded it. Hopefully this helps.
Step-by-step explanation:
Please look at the attached screenshots.
the 3-dimensonal figure color and attached below the orthographic projection for each indicated viewpoint or perspective.
A 3-dimensional figure, and solid, is bounded from the flat and curved surfaces that enclose the single region of space. A polyhedron is the solid that is bounded by polygons, known as faces. An edge of the polyhedron is the line segment formed by the intersection of 2 faces.
What are Dimensions?Dimensions in the mathematics are the measure of the distance and size of the object and region and space in 1 direction. In simpler terms, it is the measurement of the length, width, or height of anything.
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why can you use the constant of proportionalty with any representation?
I really need help on this
Answer:
-27
Step-by-step explanation:
first add 22 to both sides
-x/9=3
then isolate x by multiplying by 9
-x=27
x can't be negative so multiply by -1
x=-27
Answer:
x = -27
Step-by-step explanation:
Solve the equation by inverse operations and you get x = - 27
Jody's team scored 21, 25, 36, 16, and 32 points at the last five football games. What is the mean number of points Jody's team scored? 20 points 21 points 25 points 26 points
Answer:
26 points
Step-by-step explanation:
Find the mean number of points by adding up all of the points and dividing it by 5
(21 + 25 + 36 + 16 + 32) / 5
130 / 5
= 26
So, the mean number of points is 26 points
Jody's team scored 21, 25, 36, 16 and 32 points at the last five football games. What is the mean number of points Jody's team scored ?
Solution:-To find the mean, first of all we have to add up all the given points and then divide by how many number of points there are. So, there are total 5 points. Hence, we have to divide all the given points by 5.
So, Mean = [tex] \bf \frac{21 \: + \: 25 \: + \: 36 \: + \: 16 \: + \: 32}{5} [/tex]
Mean = [tex] \bf \frac{130}{5} [/tex]
Mean = [tex] \bf 26 [/tex]
The mean number of points Jody's team scored is 26. [Answer]what are some applications of this knowledge to the workplace?
Hi, you've asked an incomplete question. I provided some suggestions to help.
Explanation:
First, note that the term workplace refers to the location a person does his or her work. In modern times this location could be physical or virtual (a virtual workplace).
Thus, kindly note the kind of workplace you have in mind, then you could find resources that contain the sought-after applications to the workplace.
11. A bicycle wheel turns 15 times in covering a distance of 66 m. Find the radius of the wheel
Answer:
r = 10.5 m
Step-by-step explanation:
Given that,
A bicycle wheel turns 15 times in covering a distance of 66 m.
We need to find the radius of the wheel.
The distance that a wheel travels in one rotation is simply the circumference of the circle.
[tex]2\pi r=66[/tex]
Where
r is the radius of the wheel
Put all the values,
[tex]r=\dfrac{66}{2\pi}\\\\r=\dfrac{66\times 7}{2\times 22}\\\\r=10.5\ m[/tex]
So, the radius of the wheel is equal to 10.5 m.
5.5.3 Suppose X and Y have a bivariate normal distribution with , , , , and . Determine the following. Round your answers to three decimal places (e.g. 98.765). (a) Enter your answer in accordance to the item a) of the question statement (b) Enter your answer in accordance to the item b) of the question statement (c) Enter your answer in accordance to the item c) of the question statement
The question is incomplete. The complete question is :
Suppose X and Y have a bivariate normal distribution with [tex]$\sigma_X = 0.04, \sigma_Y = 0.08, \mu_X = 3.00, \mu_Y = 7.70$[/tex] and ρ = 0.
Determine the following. Round your answers to three decimal places (e.g. 98.765).
(a). [tex]$P(2.90 < X < 3.10) =$[/tex]
(b). [tex]$P(7.60 < X < 7.80) =$[/tex]
(c). P(2.90 < X < 3.10, 9.60 < Y < 7.80) =
Solution :
We have
[tex]$X \sim N (\mu_X=3, \sigma_X^2=0.04^2)$[/tex] and
[tex]$Y \sim N (\mu_Y=7.7, \sigma_Y^2=0.08^2)$[/tex]
a). The required probability is
[tex]$P(2.90 < X < 3.10) =$[/tex] [tex]$P\left(\frac{2.9-3}{0.04}< Z < \frac{3.1-3}{0.04}\right)$[/tex]
= P(-2.5 < Z < 2.5) = P(Z < 2.5) - P(Z < -2.5)
= P(Z < 2.5) - [1-P(Z < 2.5)]
= 2P(Z < 2.5) - 1
= 2(0.99379) - 1
= 0.98758
≈ 0.988
b). The required probability is
[tex]$P(7.6 < X < 7.8) =$[/tex] [tex]$P\left(\frac{7.6-7.7}{0.08}< Z < \frac{7.8-7.7}{0.08}\right)$[/tex]
= P(-1.25 < Z < 1.25) = P(Z < 1.25) - P(Z < -1.25)
= P(Z < 1.25) - [1-P(Z < 1.25)]
= 2P(Z < 1.25) - 1
= 2(0.89435) - 1
= 0.7887
≈ 0.789
c). Since, ρ = 0, so the X and Y are independent. Thus the required probability is :
P(2.90 < X < 3.10, 9.60 < Y < 7.80) = P(2.9 < X < 3.1) x P(7.6 < Y < 7.8)
= (0.98758)(0.7887)
= 0.77890
≈ 0.779
Please Help me.. i'll give brainliest to the first person that answers it correct
Solve ax + by = a-b and bx – ay = a+b
A. x = 1 and y = 1
B. x = 1 and y = -1
C. x = -1 and y = -1
D. x = -1 and y = 1
Answer:
x = 1 and y = -1
Step-by-step explanation:
A tree that is 8 feet tall is growing at a rate of 1 foot each year. A different tree that is 10 feet tall is growing at a rate of 1/2 foot each year. Find how many years it will take for the trees to be the same height.
Answer:
it will take 4 years
Step-by-step explanation:
tree one: 8+1= 9,10,11,12
tree two: 10+.5= 10.5,11,11.5,12
I CANT FOCUS ON THIS QUESTION CUZ ALL OF MY SEROTONIN IS FOR MY NEW DOG PLEASE NO FILES THIS TIME.
2 1/3 - 1 4/5
= 7/3 - 9/5
= 35/15 - 27/15
= 8/15
ANSWER: 8/15
7 3/4 - 6 4/5
= 31/4 - 34/5
= 155/20 - 136/20
= 19/20
ANSWER: 19/20 ft. farther
Solve for x.
3/4(8x-12)=2(4x+1)-4
What are the step to this equation.
PLEASE HELP ME WITH THIS PROBLEM
Dan has save 3200 cents from selling lemonade how many dollars does DAn have
Answer:
$32
Step-by-step explanation:
a dollar is 100 cents. so simply sake away the two zeros at the end.
Answer:
$32
Step-by-step explanation:
the answer is thirty two dollars because a dollar is 100 cents and 3200 ÷ 100 =32
Writing You ask 90 of your classmates if they like sports. There are 20 girls who like sports and 15 boys who like sports. There are 30 boys and 25 girls who do not like sports. Complete the two-way frequency table to show the results of the survey. What are the categories of the row variable? What are the categories of the column variable? Use pencil and paper. How does the table change if the row and column variables are switched?
Answer:
20
Step-by-step explanation:
35-55?
im not sure sorry if im wrong
If x = 2, then which of the following equations makes a TRUE statement?
a.4x + 9 = 20
b.-4x + 5 = -3
c.-3x + 15 = 21
d.5x – 15 = 5
Answer:
Answer is B
Step-by-step explanation: −4x + 5= −3
1. Subtract 5 from both sides −4x +5 −5 = −3 −5
2. You remain with this −4x = −8
3. Divide both side by -4. -4x/-4 = -8/-4
4. Answer will be x = 2
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer: 42.5%, 7.5%, Independent and Dependent
Step-by-step explanation:
A: The chance that both FDA will approve and double the value is 50%*85% or 0.50*0.85, or 85*1/2 which is 42.5%
B: 50%*(100-85)%=50%*15%=15%*1/2=7.5%
C: FDA approval is independent because nothing can effect it. However, the stock doubling is dependent, because if FDA does not approve, it will definitely not double.
Answer:
See explanation
Step-by-step explanation:
A: 50% * 85% = 42.5%
B: 50% * 15% = 7.5%
C: Dependent, because the stock price has a 0% chance of doubling if the GDA does not approve of the medicine.
hi does anyone have the answer for this? 100 points if answered :))
Answer:
15 feet
Step-by-step explanation:
This is already factored for the zeros of the quadratic. If x - 5 = 0 and x - 20 = 0 then x = 5 and 20. The ball was kicked 5 feet out and landed at 20 feet down the field. The difference is 15 feet. That's how far the ball traveled from its initial position on the ground to its landing place.
So 15 feet from where it was kicked.