Answer:
1/6
Step-by-step explanation:
There are 6 sides on a die, labeled 1,2,3,4,5,6
P(6) = number of 6's / total numbers
= 1/6
One important test for kidney disease involves measuring the levels of bicarbonate (HCO−3) in blood. Normal bicarbonate levels for a person ranging in age from 18 to 59 years old is 23–29 mmol/L. A lab purchased a new instrument to measure bicarbonate levels in blood and needs to certify it against their current instrument. The bicarbonate levels in the blood of a 38 year old woman was measured using the old and new instrument. The blood was tested 6 times using each instrument. The mean concentration of bicarbonate using the old instrument was found to be 24.6 mmol/L with a standard deviation of 1.56 mmol/L. The new instrument yielded a mean concentration of 25.9 mmol/L with a standard deviation of 0.54 mmol/L. Determine if there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95% confidence level. Determine the value of Fcalc.
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%
Explain how the pattern of chairs in a movie theater can be described using translation.
Answer:
Step-by-step explanation:
reflection over the x-axis as well reflected over the Y axis and rotated 90° counterclockwise and clockwise
Answer:Since the chairs all have the same orientation, any chair in a row can be described as a horizontal translation of any other chair in that row. Likewise, any row of chairs can be described as a translation of any other row of chairs up and back or down and forward.
Step-by-step explanation: Just did it, that is the sample response.
What is the domain of the following relation: Is this relation a function? Why or
why not?
R: {(1, 2), (2, 2), (-1, -2), (-3, 4)}?
Answer:
- domains: { 1,2,-1,-3 }
- it is a function
Step-by-step explanation:
it is a function Since there is one value of y for every value of x in the relation.
There are 7 roses in a vase of 15 flowers. The rest are daisies. (a) What is the ratio of daisies to roses? (b) What is the ratio of all flowers in the vase to daisies?
Answer: 8 to 7 and 15 to 8
Step-by-step explanation:
We can conclude that -
The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8What is ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that there are 7 roses in a vase of 15 flowers. The rest are daisies.
We have 7 roses in a vase of 15 flowers. The rest are daisies.
The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8Therefore, we can conclude that -
The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8To solve more questions on ratios, visit the link below -
https://brainly.com/question/1504221
#SPJ5
your soccer team isn’t holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction, 1) a tablet costs $280 2) football tickets that cost $100 3) a gift card that cost $20 4) the cost of the food is $400. The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of food and prizes and food. Part a determine the cost per ticket. Part B build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build a function. Part C your soccer team needs to raise at least $300 more than the total cost of the expenses. What is the minimum number of tickets that must to be sold in order for your team to reach their goal? Use the mathematics to justify your response.
Answer:
i will not give you the exact answer but i will tell you how to get the answer you need to add all the costs of everything and divide it by the number of tickets and that is how you get profit
Step-by-step explanation:
What is the solution of log (2 t + 4) = log (14 minus 3 t)?
A. -18
B. -2
C. 2
D. 10
Answer:
-2
Step-by-step explanation:
14) Which of the following correctly shows the markings for a perpendicular bisector?
Answer:
ieieieissisnessjspsjdprnr
Most universities and colleges require an SAT score as one of the inputs to an admissions decision. Is it a good predictor of college success? Total SAT scores for 10 students are given, along with their college GPAs.
Which expression is equivalent to Negative 6 (negative two-thirds + 2 x)?
Answer:
hi answers b or a
Step-by-step explanation:
A recipe calls for 4c of flour. You have 20 c of flour. Let r represent the flour you when left after making the recipe. Is the remaining amount of flour 18c?
Answer:
r=16c
Step-by-step explanation
20-4=r
16=r
Can someone help me please
Answer:
r=-3,
Step-by-step explanation:
please help, and then u need factor the expression
Answer: Choice A
U = (x+3)
V = 7
===========================================
Explanation:
If we let U = (x+3), then the original expression turns into U^2 + 14U + 49
This factors to (U+7)^2 when using the perfect square factor rule which in general is (a+b)^2 = a^2+2ab+b^2
Comparing the last term 49 with b^2, we see that b^2 = 49 leads to b = 7
So that must mean V = 7 in order to have
(U+V)^2 = U^2+2UV+V^2 = U^2 + 14U + 49
be a true statement
In a casino in Atlantic City, there are two slot machines: one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20 % of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random and put a coin into it. Given that you lose that first bet estimate the probability that the machine you selected is the more generous of the two machines.
1. What do I know?
2. What do I want to find out?
3. What do I expect the answer to be?
4. How do I go from what I know to what I want to find?
5. Is the answer consistent with what I expected?
Answer:
probability = 0.5294
1) what i know is that there are two machines
2) the probability of choosing a machine that pays 20% of the time
3) expected answer = 0.5294 = 52.94%
4) buy making some assumptions while making the calculations
5) yes
Step-by-step explanation:
Given data:
Number of machines = 2
Assuming probability of machine 2 = 20% = 0.20
Assuming probability of machine 1 = 10% = 0.10
since both machines have the ability to be generous i.e. pay 20% all the time
P( machine 1 is generous ) = P( machine 2 is generous ) = 0.5
this is since there are only two machines
hence find the probability that the chosen machine ( machine 1 ) is the generous machine after the player losses its first bet
P ( Machine 1 is generous | first bet lost )
= [tex]\frac{P( machine 1 is generous n lost) }{p(lost)}[/tex] = [tex]\frac{(1-p(pays|machine 1 is generous))*p(machine 1 is generous)}{[((1-0.10)*0.5)+ ((1-0.20)*0.5)]}[/tex]
= [tex]\frac{(1-0.10)*0.5}{0.85}[/tex] = 0.5294
This the probability that Machine 1 is generous after the player losses the first bet
1) what i know is that there are two machines
2) the probability of choosing a machine that pays 20% of the time
3) expected answer = 0.5294 = 52.94%
4) buy making some assumptions while making the calculations
5) yes
394434
3,757
Hi My name is Ella and I need help
Answer:
39,443
-
3,757=
36, 3 1 1 4
The graph of h(x) = (x - 10| +6 is shown. On which
interval is this graph increasing?
O (-0,6)
O (-6, 10)
O (6,-)
O (10,0)
standard algorithm for 0.3 +0.82
Answer: 1.12
Step-by-step explanation: just add the numbers
Find the common difference of the arithmetic sequence 4,2,0,...
Answer:
d=-2 is the difference
Find the area of the polygon. Leave
your answer in exact form with proper units.
Answer:
15 square meters.
Hope this helped!
Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
Answer:
Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
Step-by-step explanation:
We are given that a hypothesis test of the given claim is conducted. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand.
Let p = the proportion of Americans that have seen a UFO
So, Null Hypothesis, [tex]H_0[/tex] : p = [tex]\frac{2}{1000}[/tex] = 0.002
Alternate Hypothesis, [tex]H_A[/tex] : p < [tex]\frac{2}{1000}[/tex] ⇒ p < 0.002
Here, the null hypothesis states that the proportion of Americans that have seen a UFO is equal to 2 in a thousand.
On the other hand, the alternate hypothesis states that the proportion of Americans that have seen a UFO is less than 2 in a thousand.
Now, the type I error states that the probability of rejecting the null hypothesis given the fact that the null hypothesis is true. Or, it is the probability of rejecting a true hypothesis.
So, in this context, the type I error is to Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
The steps below show the work of a student used to calculate the number of yards in 804.5 meters.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
Step 1: 1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
Step 2: 2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
Step 3: 3,520 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
How can the error in the student's work be corrected? NEEDS SUBMITTING TODAY PLZ HELP ASAP
Answer:
see below
Step-by-step explanation:
804.5 meters. to yards
Step 1:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
1,609 meter x 1 mile = 2 miles
804.5 meters
Step 2:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
2 miles x 1,760 yards = 3,520 yards
1 mile
no need of step 3. the conversion below should be on step 2.
to convert miles into yards.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
Answer:
how do ppl do this lol...
Step-by-step explanation:
solve the equation below. -3 1/4x + 25=2 1/4x - 13 1/2
Answer:
x=7
Explanation:
-3 1/4x+25= 2 1/4x-13 1/2
25=5 1/2x-13 1/2
38 1/2=5 1/2x
7=x
i rly have no idea what this one is
Answer:
x = 11, y = 17
Step-by-step explanation:
Set the equations equal to each other. Since the vertical angles are congruent, 8x + 7 = 9x - 4 and 5y = 7y - 34. Now, solve your equations for the x and y values.
8x + 7 = 9x - 4
x = 11
5y = 7y - 34
2y = 34
y = 17
Which expression is equivalent to 42 + 49?
Answer:
91?
Step-by-step explanation:
You don't have any pictures attached or anything so I don't get a full understanding of what you are trying to say, anyways Have a good day! :)
What are the angles of rotations of an isosceles triangle ?
Answer:
360 degrees
Step-by-step explanation:
when we look at images of isosceles triangle it fits itself 1 time during a full rotation of 360 degrees
Evaluate the given expression at x= -4
-3x + 2x^2 + 2
PLEASE HELP !!!
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed (2)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment on
a car.
Answer:
$68y
Step-by-step explanation:
i just thought of it don't ask
Write an equation for the line that passes through (4, 5) and (6, 7).
|
Answer:
The equation in slope-intercept form would be y=1x+1
Step-by-step explanation:
We can use the slope formula,
m=y2-y1/x2-x1
m=7-5/6-4
m=1
plug in m for y intercept or "b" and choose either points to sub. for the x & y
I am going to choose the (6,7)
7=6(1)+b
7-6=6-6+b
b=1
Our "b" is equal to 1 and just add in the points to the slope formula y=mx+b
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,-2) and (0,7).
Answer:
[tex]d = 9.2[/tex]
Step-by-step explanation:
Given
Points: (-2,-2) and (0,7)
Required
Determine the distance between them.
Distance is calculated as thus:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Where:
[tex](x_1,y_1) = (-2,-2)[/tex]
[tex](x_2,y_2) = (0,7)[/tex]
So, we have:
[tex]d = \sqrt{(0 - (-2))^2 + (7 - (-2))^2}[/tex]
[tex]d = \sqrt{(0 +2)^2 + (7 +2)^2}[/tex]
[tex]d = \sqrt{2^2 + 9^2}[/tex]
[tex]d = \sqrt{4 + 81}[/tex]
[tex]d = \sqrt{85}[/tex]
[tex]d = 9.2[/tex] --- Approximated
Given m||n, find the value of x.
t
>m
(6x-9)
(5x+10)
9514 1404 393
Answer:
x = 19
Step-by-step explanation:
The two marked angles are corresponding angles, so have the same measure.
6x -9 = 5x +10
x = 19 . . . . . . . . . add 9-5x
What is the solution to 0.3(12x-16)= 0.4(12-3x) ?