Answer: Slope=− 2.000 /1.000 =−0.500
x−intercept= 1 /4 =4.00000
y−intercept= 2 /4 =2
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+6*y-(12)=0
Pull out like factors : 3x + 6y - 12 = 3 • (x + 2y - 4)
Solve : 3 = 0
A a non-zero constant never equals zero.
Solve x+2y-4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+2y-4 = 0 and calculate its properties
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 4/2 = 2
When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000
x-intercept = 4/1 = 4.00000
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 2.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.000/2.000 = -0.500
Slope = -1.000/2.000 = -0.500
x-intercept = 4/1 = 4.00000
y-intercept = 4/2 = 2
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%
please reply fast..............
3. Use properties of equality to solve the equation for w. 2(w+3) = -2(w-21)
Answer:
w = 9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
:)
Which expression is equivalent to Negative 6 (negative two-thirds + 2 x)?
Answer:
hi answers b or a
Step-by-step explanation:
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
A football coach needs to divide 48 players into two groups. He wants the ratio of the players in group 1 to players in group 2 to be 3. How many players in group 2?
Answer:
45
Step-by-step explanation:
A ratio shows us the number of times a number contains another number. The number of players in group 2 is 12.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the coach wants the ratio of the players in group 1 to players in group 2 to be 3. Therefore, the ratio can be written as,
Number of players in group1/Number of players in group2 = 3/1
Multiply the numerator and the denominator of the ratio by x,
Number of players in group1/Number of players in group2 = 3x /1x
Now, the total number of players can be written as,
3x + x = 48
4x = 48
x = 48/4
x = 12
Further, the number of players in group 2 can be written as,
Number of players in group2 = x = 12
Hence, the number of players in group 2 is 12.
Learn more about Ratios here:
https://brainly.com/question/1504221
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dice is rolled 3000 times
how many times would you expect to roll a 5
Answer:
500 times
Step-by-step explanation:
3000/6
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
Which number produces an irrational number when multiplied by 0.5
A.
[tex] \sqrt{16} [/tex]
B. 0.555...
C.
[tex] \sqrt{3} [/tex]
D. 1/3
Answer:
C. √3
Step-by-step explanation:
When one of the factors is a rational number (0.5), the product will be irrational if, and only if, the other factor is irrational.
Of the numbers offered, only √3 is irrational.
√3 will produce an irrational product when multiplied by 0.5.
__
The other values are all rational:
A: 4
B: 5/9
D: 1/3
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:
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
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.
State what additional information is required in order to know that the triangles are congruent
for the reason given.
Only for 5 and 6
Answer:
Step-by-step explanation:
5). Reason for the congruence is given as SSS.
"Property SSS for the congruence of two triangles states that all three sides of the triangles must be congruent."
In the given triangles ΔMLN and ΔULN,
ML ≅ LU [given]
NL ≅ NL [Reflexive property]
To fulfill SSS property third sides of the given triangles should be given as congruent.
Therefore, additional information required will be MN ≅ NU
6). SAS property of congruence states that "two sides and included angle between these sides of two triangles must be congruent"
From the given triangles ΔPWS and ΔVXW,
PW ≅ VW [Given]
∠PWS ≅ ∠XWV [Vertically opposite angles]
Therefore, to fulfill the property of SAS additional information required will be,
SW ≅ WV
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
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
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! :)
Bradley sold at least 127 juices and coffees. He sold 9 more juices than coffees. What is the minimum amount of coffees Bradley could have sold? Enter your answer in the box.
Answer:
59 coffees
Step-by-step explanation:
c + j >= 127
j = 9 + c
c + 9 + c >= 127
2c + 9 >= 127
2c >= 127-9
2c >= 118
c=59,
check by 59× 59 + 9 = 127
Can someone help me please
Answer:
r=-3,
Step-by-step explanation:
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
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:
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
Find the common difference of the arithmetic sequence 4,2,0,...
Answer:
d=-2 is the difference
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.
14) Which of the following correctly shows the markings for a perpendicular bisector?
Answer:
ieieieissisnessjspsjdprnr
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
(50 points!) Find the missing angles.
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
What is the solution to 0.3(12x-16)= 0.4(12-3x) ?
Evaluate the given expression at x= -4
-3x + 2x^2 + 2
What is the equation of the line that passes through the point (-2,5) and has a slope of -6
Answer:
y = -6x - 7
Step-by-step explanation:
y = mx + b
5 = -6(-2) + b
5 = 12 + b
b = -7
y = -6x - 7