Answer:
Yes there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%
[tex]F_{calc} = 8.3457[/tex]
Step-by-step explanation:
From the question we are told that
The normal bicarbonate level is k = 23-29 mmol/L
The number of times the blood was tested is n = 6
The mean concentration for old instrument is [tex]\= x_1 = 24.6\ mmol/L[/tex]
The standard deviation is [tex]\sigma_1 = 1.56\ mmol/L[/tex]
The mean concentration for the new instrument is [tex]\= x_2 = 25.9 mmol/L[/tex]
The standard deviation is [tex]\sigma_2 = 0.54 mmol/L[/tex]
The confidence level is 95%
The level of significance is mathematically represented as [tex]\alpha = (100 - 95)\%[/tex]
[tex]\alpha = 0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]F_{calc} = \frac{\sigma_1 ^2}{\sigma_2^2}[/tex]
=> [tex]F_{calc} = \frac{1.56^2}{0.54^2}[/tex]
=> [tex]F_{calc} = 8.3457[/tex]
Generally the degree of freedom for the old instrument is is mathematically evaluated as
[tex]df = n -1[/tex]
=> [tex]df = 6 -1[/tex]
=> [tex]df = 5[/tex]
Generally the degree of freedom for the new instrument is is mathematically evaluated as
[tex]df_1 = n -1[/tex]
=> [tex]df_1 = 6 -1[/tex]
=> [tex]df_1 = 5[/tex]
For the f distribution table the critical value of [tex]\alpha[/tex] at df and [tex]df_1[/tex] is
[tex]F_{tab} =5.0503[/tex]
Generally given that the [tex]F_{calc} > F_{tab}[/tex] it means that there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%
Anyone know advanced linear algebra and modern algebra?
Answer:
albinia modern alpinia is not a magnet is called the albanian language
Answer:
I know mrden algebra because I am in algebra
Step-by-step explanation:
Keith Hernandez has asked Jerry and Kramer to help him move into a new apartment on Sunday morning. He has asked them both in case one of them does not show up. From past experience, Keith knows that there is a 41% chance that Jerry will not show up and a 31% chance that Kramer will not show up. Even though Jerry and Kramer know each other, their decisions can be assumed to be independent.
a. What is the probability that both Jerry and Kramer will show up? (Round your answer to 2 decimal places.)
Probability
b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)
Probability
c. What is the probability that neither Jerry nor Kramer will show up? (Round your answer to 2 decimal places.)
Probability
Answer:
a. 0.41
b. 0.87
c. 0.13
Step-by-step explanation:
From the above question:
We are told that:
Probability that Jerry will not show up = 41% = 0.41
Probability that Jerry will show up =
100 - 41 = 59 = 0.59
Probability that Kramer will not show up = 31% = 0.31
Probability that Kramer will show up
= 100 - 31 = 69% = 0.69
Even though Jerry and Kramer know each other, their decisions can be assumed to be independent.
a. What is the probability that both Jerry and Kramer will show up? (Round your answer to 2 decimal places.)
= P(A) × P(B)
= Probability the Jerry will show up × Probability that Kramer will show up
= 0.69 × 0.59
= 0.4071
≈ 2 decimal places = 0.41
b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)
Probability = 1 - the probability that both Jerry and Kramer will not show up
= 1 - (0.41 × 0.31)
= 1 - 0.1271
= 0.8729
Approximately to 2 decimal places = 0.87
c. What is the probability that neither Jerry nor Kramer will show up? (Round your answer to 2 decimal places.)
Probability = Probability the Jerry will not show up × Probability that Kramer will not show up
= 0.41 × 0.31
= 0.1271
To 2 decimal places = 0.13
what is the length of AC?
The answer to the question is 35.
The length of AC is 25, the reason is because you can see what the length is from A to B which is 13, then you see the length between B and C which is 22. When you combine the two lengths it should add up to 25.
D
Question 2
1 pts
Witch-in-training Blythe buys a box of chocolate frog cupcakes for her new neighbors, but they look so delicious, she decides to try a copy spell to create an extra batch for herself. But oh,
no, the spell goes wrong, and now the cupcakes won't stop copying themselves. There were 12 cupcakes to start off with, and their numbers increase at a rate of 20% per minute. Which
equation below could be used to determine how many cupcakes there will be after 'm' minutes?
Answer:
Step-byWhich of the following is a common sign that a chemical change has occurred?-step explanation:
5
Solve for z in the literal equation - (z +11) = y.
7
Z=
Answer:
z= -55 / 5-y
the line is a divided by sign you put 55 on top and the 5-y on bottom
To practice for a competition, Genevieve swam 590 meters in the pool each day for 3 weeks. How many kilometers did Genevieve swim in those 3 weeks?
Answer:
12.39km
Step-by-step explanation:
If Genevieve swam 590 meters for 3 weeks, then the equation is:
590 * 21
590 represents the number of meters Genevieve swam, and 21 is the number of days in 3 weeks.
Hope this helped!
Answer:
12.39 kilometers
Step-by-step explanation:
if she swan 590 meters each day, we know that there are 7 days in a week so multiply 7 by 3 and get 21 days. then multiply 590 by 21 and get 12390 meters. BUT the question is asking for kilometers so we are not done. from here we have to convert 12390 meters to ___ kilometers. to go from meters to kilometers divide by 1000 and we will get 12.39 kilometers.
hope this helps! brainliest please?
A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.
How much sales tax will be charged at Store B?
Answer:
72 on edge
Step-by-step explanation:
Answer:
94.50
Step-by-step explanation:
m - 6 > -9
Solve the inequality
Answer:
m> -3
Step-by-step explanation:
m-6 > - 9
you use inverse opperations and you add six to the other side.
m-6 > - 9
+6 +6
m > -3
-5/3(-2/3)(-18)
A)−20
B)-35/3
C) 35/3
D) 20
Answer: (A)
Step-by-step explanation:
-5/3(-2/3)(-18)
= -5/3(-2/3)(-18)
= -5/3 * 2/3 * 18
= 5 * 2 * 18 / 3*3
= 180/9
= -20
help much appreciated ):
Answer
Step-by-step explanation:
help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ):help much appreciated ): hope this helps leave a heart c:
The graph shows the equation y = 2x – 3. Use the slider for a to move the vertical line on the graph. Based on the vertical line test, is this equation a function? Why or why not?
Answer:
Yes. The vertical line never touches the graph at more than one point at the same time.
Step-by-step explanation:
this is the plato and edmentum answer
(make sure this is the right question)
As the vertical line touches the graph of the equation y = 2x - 3 it is a function.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, An equation y = 2x - 3.
Now, If we draw a vertical line and it touches the graph at only one point
the equation is a function but if the vertical line touches the graph at more than two points the equation is not a function.
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20 points help please <333.
Answer:
Step-by-step explanation:
What you need to do is look at the chart and see how much it is for one of those, multiply it by the number of how many you need, add up how much money it will cost him, and how much money he needs.
What is the point of an object where the force of gravity is considered to act?
Answer:
center of gravity
Step-by-step explanation:
An elevator rises steadily up a skyscraper. After 4 s it is 33 m above the ground, 2 s later it is 47 m above the ground. Which equation models its position, y, with respect to time, x?
A. y-47= -7(x-2)
B. y+33=7(x+4)
C. y-33= -7(x-4)
D. y-33=7(x-4)
Answer:
C
Step-by-step explanation:
It would be c i took the test:)
The required equation model would be y - 33 = -7(x -4) which is the correct answer would be option (C).
What is the slope of the line?A line's slope is defined as its inclination. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider Points 1 and 2 on a line. Point 1's coordinates are (x₁ , y₁), and Point 2's coordinates are (x₂, y₂).
Given that the continuously rising building is an elevator. It is 33 meters above the ground after 4 seconds, and 47 meters above the earth after 2 seconds.
Let the required equation model would be as:
y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]
x₁ = 4, y₁ = 33
x₂ = 2, y₂ = 47
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]
Substitute values in the equation, we get
⇒ y - 33 = (47-33)/(2-4 )[x -4]
⇒ y - 33 = 14/(-2 )[x -4]
⇒ y - 33 = -7(x -4)
Therefore, the equation model is y - 33 = -7(x -4).
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If you have 584 packages of hard candy to rebox for shipment to a discount store and you can pack 12 packages in each box, how many boxes will you need ?
Answer:
48.6666 round up to 49
Step-by-step explanation
do 584 divided by 12 equals 48.6666 then round up to 49
Answer:
49
Step-by-step explanation:
What you do is 584 divided by 12. That will give you 48.6666. You can’t have 48.6666 boxes so you round up. You will need 49 boxes.
How do you do this question?
Answer:
Cartesian Equation: y = √(1 - x^2)
Graph: Second one
Step-by-step explanation:
x^2 = sin^2(θ/2),
y^2 = cos^2(θ/2),
According to that theory, by the circle equation, x^2 + y^2 = 1^2.
When θ = -π, x = sin(-π/2) = - 1, and y = cos(-π/2) = 0
When θ = π, x = sin(π/2) = 1, and y = cos(π/2) = 0
The radius is 1 in this case, (x^2 + y^2 = r^2 -> x^2 + y^2 = 1^2 -> x^2 + y^2 = 1) as the semicircle ranges from (- 1, 0) to (1,0). Therefore your graph is the second one;
When theta = 0, x = sin 0 = 0, and y = cos 0 = 1, so the semicircle passes through (0, 1). To determine the equation, let's simply isolate "y" in the equation x^2 + y^2 = 1^2,
In Cartesian form, the equation is y = √(1 - x^2)
Which of the following equations is not equivalent to 5x-10=40 *
x+2=12
x-1=11
10x=100
2x=20
fiind the value of x between 0 and 360
for question 5sin 2x=7cos2x
Answer:
x=pi*n/2+1/2arctan(7/5)
Step-by-step explanation:
5sin(2x)=7cos(2x)
5tan(2x)=7/5
2x=pi*n+arctan(7/5)
x=pi*n/2+1/2arctan(7/5) for n e Z
The equation y = −3x + 7 represents the amount of water y left in a 7-gallon tub after x minutes. What is the slope of the line? What does the slope mean in this context?
The slope means in this context, the draining of water is 3 gallons per minute. Then the slope of the line will be negative 3.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
y = −3x + 7, represents the amount of water y left in a 7-gallon tub after x minutes.
Then the slope of the line will be negative 3.
The slope means in this context, the draining of water is 3 gallons per minute.
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Gladstone Community Center charges a one-time membership fee of $45 plus a monthly fee of $25. YMCA charges $39 a month. Write an inequality that shows the number of months it would take for Gladstone to be less expensive than the YMCA.
Answer:
31
Step-by-step explanation:
70 - 39 = 31
Sanjay’s present age is ‘y’ years. Form an algebraic expression for:
a)Sanjay’s age 7 years from now
b)Sanjay’s brother’s age is 4 years less than Sanjay’s presentage
c)Sanjay’s mother’s age is 3 times that of Sanjay’spresentage.
d)Sanjay’s grandfather’s age is 30years more than Sanjay’s mother’sage.
e)Sanjay’s father’s age is 8 years more than 6 times Sanjay’s age.
Answer:
a. y + 7
b. y - 4
c. y times 3 or 3y
d. 3y + 30
e. 6y + 8
Step-by-step explanation:
Algebraic expressions don't need to be a complete equation.
Getting doubles when two dice are rolled.
Answer:
Make sure you pass go!!!!!!!
Step-by-step explanation:
Can someone help me out?
1. perimeter = 4 and area = 1
2. permeter = 8 and area = 4
3. perimeter = 12 and area = 9
4. perimeter = 16 and area = 16
5. perimeter = 20 and area = 25
g(x)=x^2+2x-8 in factored form
Answer:
g(x) = (x+4)(x-2)
Step-by-step explanation:
g(x) = x²+2x-8
g(x) = (x+4)(x-2)
Answer:
(x+4)(x-2)
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
help me please, thank you sm
Answer:
Option B
Step-by-step explanation:
Y=3, when x value is substituted
Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?
|x – 3| = 45; minimum angle: 42 degrees
|x – 3| = 45; minimum angle: 45 degrees
|x – 45| = 3; minimum angle: 42 degrees
|x – 45| = 3; minimum angle: 45 degrees
Answer: C |x – 45| = 3; minimum angle: 42 degrees
Step-by-step explanation:
The equation which can be used to determine the minimum and maximum optimal angles of launch and the minimum angle that is still optimal is |x – 45| = 3 and 42 degrees respectively.
What is an Angle?This is formed when two straight lines meet at a common endpoint and are also formed during intersection of planes.
In this scenario we were told the angle is within 3 degrees of 45 degrees which means the minimum angle is 45 degrees - 3 degrees = 42 degrees with the equation used to determine the minimum and maximum being |x – 45| = 3 as the maximum angle and deviation has to be present in the equation.
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18.75 + (12.8 x 3) - 16.28
Answer: 40.87
Step-by-step explanation:
Answer: 40.87
Step-by-step explanation:
First you would do 12.8x3 because it’s in parentheses you would then get 18.75 + 38.4 - 16.28. You would then do 18.75 + 38.4 and get 57.15 then subtract 16.28 from that and get your final answer 40.87
URGENT
What is the equation in slope-intercept form of the line that passes through the points ( -4, 47) and ( 2 , -16)?
Answer:
[tex]-\frac{21}{2} x+5[/tex]
Step-by-step explanation:
To find the slope of the equation, you use [tex]\frac{rise}{run}[/tex] , or [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] :
[tex]\frac{-16-47}{2+4}[/tex]=[tex]\frac{-63}{6}[/tex]=[tex]\frac{-21}{2}[/tex]
Then you have to find the y intercept. First, plug in the x of a point and solve:
[tex]\frac{-21}{2}[/tex] * 2= -21
Then, find the distance between the answer and the y of the given point. Since our answer is smaller than the y of the point, we'll get a positive y- intercept.
21-16=5
This will give us the equation:
[tex]-\frac{21}{2} x+5[/tex]
Martina swam 4 kilometers against the current in the same amount of time it took her to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Martina swim if there were no current