Answer:
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: [tex]y = \frac{1}{2}x-2[/tex]
Step-by-step explanation:
Given two points are:
[tex](x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)[/tex]
Slope intercept form of line is given as:
[tex]y = mx+b[/tex]
Here m is the slope of the line and b is the y-intercept.
Slope of a line is calculated by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values
[tex]m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}[/tex]
Putting the value of slope in slope-intercept form we get
[tex]y = \frac{1}{2}x+b[/tex]
To find the value of b, any one point will be put in the equation
Putting the first point (12,4) in the equation
[tex]4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2[/tex]
Putting the value of b
[tex]y = \frac{1}{2}x-2[/tex]
Hence,
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: [tex]y = \frac{1}{2}x-2[/tex]
Please help I’ll mark u :(:
Answer:
put it into slope intercept form. which is y=mx+b
Step-by-step explanation:
A random sample of 84 students at a university showed an average age of 22 years and a sample standard deviation of 3 years. Find the margin of error for the 94% confidence interval. (Assume that the population of students is large relative to the sample size. Round your solution to 4 decimal places)
Answer:
The margin of error for the 94% confidence interval is 0.6154.
Step-by-step explanation:
The (1 - α)% confidence interval for population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error of this interval is:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The critical value of z for 94% confidence level is, z = 1.88.
Compute the margin of error for the 94% confidence interval as follows:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=1.88\times\frac{3}{\sqrt{84}}\\\\=0.6154[/tex]
Thus, the margin of error for the 94% confidence interval is 0.6154.
What is the absolute value of -8.35
Answer:
8.35
Step-by-step explanation:
To get absolute value, just make it the opposite
Answer: |-8.35| = 8.35
Step-by-step explanation: |-8.35| = 8.35
help pls
2 1
_ + _ =
6 3
Answer: 21, 21
Step-by-step explanation: 21 × 3 = 63, so 21 + 21 + 21 is 63.
Answer:21,21
Step-by-step explanation:
21 × 3 = 63, so 21 + 21 + 21 is 63.
The sum of two numbers is -14. If the smaller number is subtracted from the larger number, the result is 10. Find the number
Answer:
The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?
Step-by-step explanation:
EQUATION:
x+ y = 78
x-4y = 13
-------------
solve by any method to get:
x = 65
y = 13
Algebra!!!! Answer QUICK PLZ
5 questions!!! 50 POINTS!!!!
Answer:
A
C
i don't get the first slide
Step-by-step explanation:
Answer:
A
C
What is the 1st one?? i don't get it.
Step-by-step explanation:
How would you graph the solution to 3x ≤ -15?
Draw an open circle on -5 and shade to the left.
Draw an open circle on -5 and shade to the right.
Draw a closed circle on -5 and shade to the left.
Draw a closed circle on -5 and shade to the right.
Answer: C) Closed circle at -5; shading to the left
The given inequality [tex]3x \le -15[/tex] solves to [tex]x \le -5[/tex] when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.
The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say [tex]x < -5[/tex] and use an open circle; but that's not the case here.
Answer:
C) Closed circle at -5; shading to the left
Step-by-step explanation:
What is the coefficient of a3 after simplifying this expression? 2a3−10ab2+3a3−ab2−7
Answer:
5Step-by-step explanation:
Given the expression
2a^3−10ab^2+3a^3−ab^2−7
We are to find the coefficient of a^3
First is to collect the like terms;
2a^3−10ab^2+3a^3−ab^2−7
= 2a^3+3a^3−10ab^2−ab^2−7
= 5a^3-11ab^2-7
From the resulting equation, you can see that the coefficient of the term having a^3 is 5
Answer:
5
Step-by-step explanation:
i took the quiz trust me
Shiloh is splitting a quart of mac n cheese with seven friends. If all 8 of them share the quart equally, how many cups will each person get?
Can someone please help me
Answer:
0.125 quarts
Step-by-step explanation: One quart divided by 8
Can i be brainliest
Which statement about residual plots is NOT true?
A. The vertical axis shows residuals.
B. If there is an obvious pattern, the model is probably reasonable.
C. The x-axis appears in the middle of the graph.
D. The sum of the residuals is 0.
Answer:
A is the correct answer
Step-by-step explanation:
The not correct statement about residual plot is If there is an obvious pattern, the model is probably reasonable.
What is a residual plot?A residual plot shows the difference between the observed response and the fitted response values.
Given that, Which statement about residual plots is not true
In the given options,
If there is an obvious pattern, the model is probably reasonable, this option is not correct because, The pattern in the residual plot suggests that predictions based on the linear regression line will result in greater error as we move from left to right through the range of the explanatory variable.
So, it is not needed if there is an obvious pattern, then the model is probably reasonable,
Hence, the not correct statement about residual plot is If there is an obvious pattern, the model is probably reasonable.
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[tex] \sqrt{25} [/tex]
QUESTION 16 Which of the numbers below are related in the same way as 3259 and 2? A. 5789 and 29 B. 3174 and 6 C. 2749 and 4 D. 9047 and 12
Answer:
Option (B)
Step-by-step explanation:
Relation between two numbers 3259 and 2,
3259 → 3 × 2 + 5 - 9 = 2
Now we will check the relation in the given options,
Option (A).
5789 → 5 × 7 + 8 - 9 = 34
Option (B).
3174 → 3 × 1 + 7 - 4 = 6
Option (C).
2749 → 2 × 7 + 4 - 9 = 9
Option (D).
9047 → 9 × 0 + 4 - 7 = -3
Therefore, Option (B) shows the same relation.
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonable) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).
In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.6%. Describe the conclusion about p using an absolute value inequality.
The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in < and then =, the symbolic entry option will automatically convert that too ≤ . In the same way, if you type in > and then =, the symbolic entry option will automatically convert that to ≥.
Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
Answer:
|0.254 ≤ p ≤ 0.286|
Step-by-step explanation:
Given that:
In a made up poll :
Proportion of people who like dark chocolate than milk chocolate (p) = 27%
Margin of Error = 1.6%
Hence,
p ± margin of error
27% ± 1.6%
(27 - 1.6)% ; (27 + 1.6)%
25.4% ; 28.6%
0.254 ; 0.286
Therefore ;
Lower bound = 0.254
Upper bound = 0.286
Expressing p as an absolute value Inequality ;
|0.254 ≤ p ≤ 0.286|
y - 2/5 = 1 3/5 (plz show work)
Answer:
y=2
Step-by-step explanation:
that's the answer hope u understand it
Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
Sure.
[tex]y - \frac{2}{5} = 1 \frac{3}{5} \\[/tex]
Convert to improper fraction
[tex]y - \frac{2}{5} = \frac{8}{5}[/tex]
Combine like terms
[tex]y - \frac{2}{5} = \frac{8}{5} \\[/tex]
[tex]+\frac{2}{5}[/tex] from both sides
[tex]y = \frac{8}{5} + \frac{2}{5} \\y = 2[/tex]
Love from Nepal :)
What is the rectangular form of 12(cos(Pi) + isin(Pi))?
12
-12
12 + i
–12 + i
The rectangular form of the polar expression [tex]12(cos\pi+ isin\pi)[/tex] is -12
The given equation is:
[tex]12(cos\pi+ isin\pi)[/tex]
The above equation is in polar form
Note that:
[tex]cos \pi = -1\\\\sin\pi = 0[/tex]
Substituting [tex]cos \pi = -1[/tex] and [tex]sin \pi = 0[/tex] into the expression [tex]12(cos\pi+ isin\pi)[/tex] in order to get the rectangular form of the expression
[tex]12(cos\pi+ isin\pi)[/tex]
= 12(-1 + 1(0))
= 12 ( -1 + 0)
= 12(-1)
= -12
Therefore, the rectangular form of the polar expression [tex]12(cos\pi+ isin\pi)[/tex] is -12
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what is y^2+2xy/2xy I don't know how to work it out. can somebody help please?
Answer:
Let's simplify step-by-step.
y2+(
2xy
2
x)(y)
=y2+x2y2
Answer:
=x2y2+y2
Step-by-step explanation:
Guys I need y’all help ! ASAP . Pleaseeeee !!!!!
PLZ I WILL GIVE BRAINLEST
Bobby has 38 dolar and his siter had 92 dolar how much more money sister have?
Answer:
54
Step-by-step explanation:
92 (how much his sister has) - 38 (how much he has) = 54 (how much more money his sister has then him)
Answer: His sister had 54 more dollars than him.
Step-by-step explanation: 92 (sister's amount) -38 (Bobby's amount) = 54 (total difference).
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
it is c if you add 2x8 wich makes 16
Please answer this correctly without making mistakes
Answer:
No it is too high
Step-by-step explanation:
plz mark brainliest
If h(x) = g[f(x)], use the table of values for f, g, f'and g' to find the value of h'(1).
x f(x) g(x) f'(x) g'(x)
1 3
2
2
6
2 1
00
5
7
3
7
2
7
9
your answer goes here
Answer:
Hey there :)
h ( x ) = f [ g ( x ) ]
To find h ' ( x )
We do → f ' [ g ( x ) ] × g ' ( x )
This is called the chain rule
Given;
g ( 1 ) = 2 → f ' ( 2 ) = 5
g ' ( 1 ) = 6
Apply the formula
h ' ( 1 ) = f ' [ g ( 1 ) ] × g ' ( 1 )
= f ' ( 2 ) × 6
= 5 × 6
h ' ( 1 ) = 30
If h(x) = g[f(x)], the value of h'(1) from the given table is calculated as 18.
To find the value of h'(1), we need to apply the chain rule. The chain rule states that if we have a composite function h(x) = g[f(x)], then its derivative h'(x) is given by [tex]\(h'(x) = g'(f(x)) \cdot f'(x)\)[/tex].
Let's use the table of values to find h'(1):
1. f(1) = 3
2. g(f(1)) = g(3) = 2
3. f'(1) = 2
4. g'(f(1)) = g'(3) = 9
Now, we can find h'(1) using the chain rule:
[tex]\[h'(1) = g'(f(1)) \cdot f'(1) = 9 \cdot 2 = 18.\][/tex]
Therefore, the value of h'(1) is 18.
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Harlee uses a device to convert her electronic textbook into braille. Unfortunately, the textbook did not include text descriptions of the diagrams, and 2/3 of the pages have diagrams. Let N be the number of pages Harlee reads to reach the first page with a diagram. Assume that the probability of each page having a diagram is independent. Find the mean and standard deviation of N. Round your answers to one decimal place.
Answer:
Mean: 1.5
Standard Deviation: 0.9
Step-by-step explanation:
2/3 of the pages have diagrams, and N is the number of pages Harlee reads to reach a page with a diagram. In order to find the mean, divide 1/(2/3) to get 1.5 as your mean, and then divide sqrt(1-(2/3))/2/3 to get .8660, which rounds to .9.
What value of b will cause the system to have an
infinite number of solutions?
6
y = 6x-b
+3x+12y=-3
-3x + y = -3
b =
Answer: b=6
Step-by-step explanation:
I hope this helps on edge
To make the system have an infinite number of solutions, the value of b can be any real number.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
For the system to have an infinite number of solutions, the two equations must be dependent, which means that one of the equations can be obtained by a linear combination of the other two equations.
So,
Let's rearrange the given equations into the slope-intercept form:
y = 6x - b _____(1)
3x + 12y = -3 ______(2)
-3x + y = -3 ______(3)
From equation (3),
y = 3x - 3 _______(4)
Now,
We can see that equation (1) is a multiple of equation (4) with a slope of 6/3 = 2.
Specifically, equation (1) can be obtained by multiplying equation (4) by 2 and then subtracting b from both sides.
So,
2(3x - 3) - b = 6x - b
Simplifying this expression.
6x - b = 6x - b
Since this equation is true for any value of x and b, we have an infinite number of solutions.
Therefore,
To make the system have an infinite number of solutions, the value of b can be any real number.
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A bookcase has 5 of these bookshelves that are 42 inches long. How many FEET of shelf space is there? Explain your reasoning. (If the answer is given in inches you can only get a 4 out of 6 maximum. How many FEET of shelf space is the answer you explain.) *
Answer:
[tex]17.5\ \text{feet}[/tex]
Step-by-step explanation:
A bookcase has 5 bookshelves. Each bookshelf is 42 inches long.
Total bookshelf length in the book case = [tex]5\times 42=210\ \text{inches}[/tex]
[tex]1\ \text{feet}=12\ \text{inches}\\\Rightarrow 1\ \text{inch}=\dfrac{1}{12}\ \text{feet}[/tex]
[tex]210\ \text{feet}=210\times \dfrac{1}{12}=17.5\ \text{feet}[/tex]
The bookcase has a total shelf space of [tex]17.5\ \text{feet}[/tex].
*One bookshelf has a space of [tex]\dfrac{42}{12}=3.5\ \text{feet}[/tex].
John invest $5,000 in one account and $8,000 in an account paying 4% more in interest. He earned $1,230 in interest after one year. At what rates did he invest
Given:
John invest $5,000 in one account and $8,000 in an account paying 4% more in interest.
Total interest in one year = $1230
To find:
The rates of the investments.
Solution:
Let x% be the rate of interest on investment $5000.
Then, (x+4)% is the rate of interest on investment $8000.
Total interest is $1230. So,
[tex]5000\times \dfrac{x}{100}+8000\times \dfrac{x+4}{100}=1230[/tex]
[tex]50x+80(x+4)=1230[/tex]
[tex]50x+80x+320=1230[/tex]
[tex]130x=1230-320[/tex]
[tex]130x=910[/tex]
Divide both sides by 130.
[tex]x=\dfrac{910}{130}[/tex]
[tex]x=7[/tex]
Now,
[tex]x\%=7\%[/tex]
[tex](x+4)\%=(7+4)\%=11\%[/tex]
Therefore, $5,000 is invested at 7% and $8,000 is invested at 11%.
A plane traveled 1056 miles each way to carson city and back, The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind.
Answer:
1056 = 11 x 3.2 x 3
Step-by-step explanation:
Find hyptoenuse
an object is traveling at a steady speed of 10 1/5 km/h. how long will it take the object to travel 4 4/5
Incomplete question but the comnplete question is how long will it take the object to travel 4 4/5km
Answer: time taken for the object to travel = 0.47 hrs
Step-by-step explanation:
Step 1 -- The formulae to represent the relationship of speed, distance and time .
Speed = Distance / Time
Where Speed = 10 1/5 km/h
Distance = 4 4/5 km
Step 2 --- Solving
Time = Distance / Speed
= 4 4/5 km / 10 1/5 km/h
= 24/ 5 x 5/ 51 = 24/51 =0.47 hrs
0r
4. 8 / 10.2 = 0.47 hrs
Therefore the time taken for the object to travel = 0.47 hrs
help please!!!!! (QUESTION #3)!!!!!!!
Determine the sample size required to estimate a population mean to within 10 units given that the population standard deviation is 60. A confidence level of 90% is judged to be appropriate.
Answer: 98
Step-by-step explanation:
Formula to find sample size if population standard deviation is known:
[tex]n=(\dfrac{z^c\times\sigma}{E})^2[/tex] , where [tex]\sigma=[/tex]population standard deviation, [tex]z^c[/tex] =Critical z-value for confidence level, E= Margin of error.
Given: [tex]\sigma=30,\ \ \ E=10[/tex]
Critical z-value for 90% confidence = 1.645
[tex]n=(\dfrac{1.645\times60}{10})^2\\\\=(1.645\times6)^2\\\\=9.87^2\\\\=97.4169\approx98[/tex]
Required minimum sample size = 98
I need help plz!!!!!! Will give 100 points.
Point-Slope Form: y - 5 = 3(x - 1)
Standard Form: ???? HELP