Find the slope of the line that passes through the points: (1, 1) and (7, 5) . If you get stuck , try plotting the points on graph paper and drawing the line through them with a ruler.
Answers
Answer:
2,3
Step-by-step explanation:
The slope of the line that passes through points (1, 1) and (7, 5) is 2/3.
What is slope ?Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.
The formula for slope of a line that passes through two points (x₁.y₁) and (x₂,y₂) is,
y₂ - y₁ = m(x₂ - x₁)
The given points are, (1, 1) and (7, 5).
The slope of the line is given by formula m = (y₂-y1)/(x₂-x₁)
m= (5-1)/(7-1)
m = 4/6
m = 2/3
The slope of the line that passes through points (1, 1) and (7, 5) is 2/3.
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Related Questions
A chain of car dealership got a shipment of 9,240 new cars. There are the same number of cars in every color. How many colors could there be?
Answers
Answer:
9,420 colors making exactly 1 car of each color exist
Step-by-step explanation:
Since there is no additional information, such as the number of colors we have to assume the maximum. Since there are over 10 million colors that exist and there is at least one car of each color, then there would be a maximum of 9,420 colors making exactly 1 car of each color exist. On the other end of the spectrum would be 2 colors making 4,710 cars of each color.
The number of different possible colors of vehicle can be found using the relation
[tex] \frac{9240}{c} [/tex]
The number of cars shipped = 9240The number of cars belonging to each different color is the sameThe number of different colors possible :
Total number of shipment ÷ Number of cars belonging to each color If the Number of cars belonging to each color = cThe number of different possible colors can be obtained using the expression :
[tex] \frac{9240}{c} [/tex]
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Samuel needs 346 feet of wood to build a fence. The wood comes in lengths of 15 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel.
How many pieces of wood does Theresa need?
Samuel needs
pieces of wood. Theresa needs
pieces of wood.
Answers
Length of wood Samuel needs to build a fence = 346 feet
Length of each piece of wood = 15 feet
Number of wood pieces he will have with him :-
[tex] = \frac{346}{15} [/tex]
Samuel will need 23 pieces of wood .
Length of wood Theresa needs to build a fence :-
= 346 × 2
= 692 feet wood
Number of wood pieces Theresa will need :-
[tex] =\frac{692}{15} [/tex]
[tex] = 42 \: pieces \: of \: wood[/tex]
Therefore , Samuel needs 23 pieces of wood and Theresa needs 42 pieces of wood .
44% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities.
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write an equation to solve for x your only writing the equation 7x +9 5x +3 will mark brainiest
Answers
Answer:
-3
Step-by-step explanation:
7x+9=5x+3
2x+9=3
2x=-6
x=-3
Answer:
equation is 7x +9 = 5x +3x = -3Step-by-step explanation:
7x +9 = 5x +3
combine like terms
7x - 5x = 3 - 9
2x = -6
x = -6/2
x = -3
proof:
7x +9 = 5x +3
7(-3) +9 = 5(-3) +3
-12 = -12 ---- ok
factor this expression fully
[tex] {x}^{2}(x - 1) - 9x(x - 1) + 8(x - 1)[/tex]
Answers
Answer:
1,0
Step-by-step explanation:
No need to expand look at the roots of the brackets.
(x-1)=0
x=1
x^2 and -9x have roots 0
Think of it as whatever sets the expression to 0.
Pleaseeeeeeee helppp!!!!!! ASAP!!!
Answers
Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) ∠1≅∠4 :Given
2) The two lines are parallel :Alternate Exterior Angles Converse
3) ∠3≅∠2 :Alternate Interior Angles Are Congruent
Answer:
given: 1=4 prove: 3=2
statement reasons
1=4 given
1=2 vertical angles
3=4 congruent angles
therefore: 3=2
Step-by-step explanation:
2. If there are 95 pencils and 45 erasers in the box, what is the simplified ratio of erasers to pencils? LED
Answers
Answer:
The simplified ratio is 19:9.
Step-by-step explanation:
Answer:
19:9
Step-by-step explanation:
First, make it a fraction. 95/45. Then simplify by 5.
Which is larger: 25% of 38 OR 30% of 41
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A friend of yours was interested in computing a confidence interval for the mean student debt accumulated by NC State graduates during their undergraduate education. They collected a random sample of 40 students, and asked each how much student debt they had; all responded and responded honestly. A histogram of the data indicated it was normally distributed. They computed a 95% confidence interval of ($36,400, $41,650). However, they were unsatisfied with the margin of error, wanting a more precise interval. Referring to their ST 311 notes, they noted that in order to reduce the margin of error by half, they needed to increase their sample size by a factor of 4. So, they collected another random sample of 160 students and found another 95% confidence interval, which was much narrower, having a margin of error of $1,318. They are satisfied with the precision of the confidence interval, but are a little confused : it’s not quite half the original margin of error. Explain why the margin of error wasn’t quite reduced by a factor of 0.5. Be specific.
Answers
Answer:
Explained below.
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The factors affecting the MOE are:
The sample size (n) is inversely proportional to the MOE, thus increasing n decreases the MOE and vice-versa. Variance (σ²) is the square of S.D. So if we increase σ² then σ increases. Since σ is directly proportional to MOE, increasing σ increases MOE. The confidence level is the value of (1 – α). If we increase the confidence level then the critical value increases and thus MOE also increases.Since the population standard deviation is not provided it is obvious the sample standard deviation is used to estimate the value of σ.
On increasing the value of σ the MOE will also increase.
As the sample size is inversely proportional, increasing the sample size by a factor of 4 will reduce the margin of error by half. But since σ is also increasing there are two factors affecting the MOE together.
Therefore reducing the MOE by more than half the original value.
2. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many students would need to be sampled?
Answers
Answer:
The number of students to be sampled is [tex]n = 1789 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.03
Generally the proportion of students that receive financial aid is mathematically represented as
[tex]\^ p = \frac{118 }{200}[/tex]
=> [tex]\^ p = 0.59[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{2.58}{0.03} ]^2 * 0.59(1 - 0.59) [/tex]
=> [tex]n = 1789 [/tex]
Using the margin of error, it is found that 1033 students would need to be sampled.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The dean randomly selects 200 students and finds that 118 of them are receiving financial aid, hence, the estimate is:
[tex]\pi = \frac{118}{200} = 0.59[/tex]
99% confidence level
So [tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].
The sample size needed is n when M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.59(0.41)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.59(0.41)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.59(0.41)}}{0.03}[/tex]
[tex]\sqrt{n}^2 = \left(\frac{1.96\sqrt{0.59(0.41)}}{0.03}\right)^2[/tex]
[tex]n = 1032.5[/tex]
Rounding up, it is found that 1033 students would need to be sampled.
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To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
c. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets p and the number of bits s.
s =
Answers
if f(x)=6x-9, find f(4)
Answers
Answer:
15
Step-by-step explanation:
f(x)=6x-9
so nw x value give 4,
substitute x value with 4
f(4)=6(4)-9
=19
A function assigns the values. The value of the f(4) will be equal to 15.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given function f(x)=6x-9, therefore, the value of f(4) can be written as,
f(x) = 6x - 9
f(4) = 6(4) - 9
f(4) = 24 - 9 = 15
Hence, the value of the f(4) will be equal to 15.
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Find the annual percentage yield (APY) in the following situation,
A bank offers an APR of 3.88% compounded monthly.
The annual percentage yield is %.
(Do not round until the final answer. Then round to two decimal places as needed.)
What’s the answer?
Answers
Answer:
3.95%
Step-by-step explanation:
An interest-bearing account paying a stated nominal or annual interest rate of 3.880% compounded monthly, would translate to an Annual Percentage Yield (APY) or Effective Annual Rate (EAR) of 3.95%. This means that $100.00 will grow to $103.95 ($103.95 rounded) after one year.
Estimate the total of 3,933+790+3,528+1,830 by adding the numbers and then rounding the result to the thousands place.
Answers
Answer:
The answer to your problem is 10000
Answer: 11,000
Step-by-step explanation:
Rounding to the nearest thousand first gives us,
4,000+1,000+4,000+2,000=11,000.
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of Five-fourths. Her scale drawing is a 2 and one-half-inch by 5-inch rectangle.
Answers
Answer:
2 by 4 inches
Step-by-step explanation:
If you divide 2 1/2 by 5/4 and 5 by 5/4, you get 2 by 4 inches.
(Edit: I fixed it)
Answer:
The scale factor is a reduction, and the new card should be 4 in x 2 in.
Step-by-step explanation:
help please asap
jahahhahahahahaha
Answers
Answer:
No
Step-by-step explanation: Try the vertical line test. If the line goes directly through the angle or shape, it's not a function. Let me know if you want an example.
I've attached an image. This rule applies to every angle.
-3 (4-2x) = 4 - 2x I can't seen to get this one
Answers
Let's see what to do buddy...
[tex] - 3(4 - 2x) = 4 - 2x[/tex]
Subtract the sides of the equation minus( 4 - 2x ) :
[tex] - 3(4 - 2x) - (4 - 2x) = 0[/tex]
Factoring ( 4 - 2x ) :
[tex](4 - 2x)( - 3 - 1) = 0[/tex]
[tex](4 - 2x)( - 4) = 0[/tex]
Divided the sides of the equation by -4
[tex]4 - 2x = 0[/tex]
Subtract the sides of the equation minus 4
[tex] - 2x = - 4[/tex]
Negatives simplified.
[tex]2x = 4[/tex]
Divided the sides of the equation by 2
[tex]x = \frac{4}{2} \\ [/tex]
[tex]x = 2[/tex]
_________________________________
And we're done...
Thanks for watching buddy good luck.
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6 less than the cube of a number.
Answers
Answer:
x^3-6
Step-by-step explanation:
cube the variable and subtract 6
what is the ratio of students to adults ? complete the statement the ratio of students to adults is ? 20 to 4 is the awnser
Answers
Answer:
20 to 4
Step-by-step explanation:
is the answer because it is the amount of students to adults.
In order to understand more about the home internet access of a university with 12768 students, three staff members set out to sample a number of students. Below are their plans for sampling the students. Plan 1: One staff member thought that internet access could be different based on the size of the town/city where the student lives, so she obtained a list of all students at the university, divided them into three groups, students living in small-, medium-, and large-sized towns. 10% of students lived in small towns, 40% lived in medium-sized towns, and 50% lived in large-sized towns, so she randomly selected 20 of the students from small towns, 80 from medium-sized towns, and 100 from large-sized towns. Plan 2: The other staff member decided that it would be most efficient to contact students through the online course management system. He randomly sampled 20 courses from the course catalog, and contacted all students in each of these 20 courses through the online course management system. (You may disregard the negligible probability that some student was enrolled in more than one of these 20 courses.) Plan 3: The last staff member had access to a list of students that lived in the dorms, and used a computer program to randomly select 250 students from this list. The staff members took care not attempt to influence student responses in any way. Which of these three plans will result in representative samples of the population of students, on aver
Answers
Answer: I-
ok
Step-by-step explanation:
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charlidamelio
The fraction 4/10 can be written as what
Answers
Answer:
In decimal form 0.4 or 4/10 or 2/5 (simplified). Also, in percentage form 40%.
Step-by-step explanation:
Calculate the pay for the following day of a weekly time card given a wage of $12/hr
Answers
Answer:
Step-by-step explanation:
At a pay of 12$ per hour at 8 hours a day you will make 94$ a day or 658$ a week.
Is line e perpendicular to line g?
Answers
Answer:
Yes.
Step-by-step explanation:
Always.
Which expression represents the total volume of the two storage spaces
Answers
Answer:
S^3+12
Step-by-step explanation:
The big block shows three s then you have to simplify that with 12ft^3
The expression that represents the total volume of the two storage spaces is s³+ 12
What is the total volume?The total volume of the two storage spaces is the sum of the smaller storage space and the larger storage space.
Volume = width x height x length.
Volume of the larger storage space = s x s x s = s³
The total volume of the two storage spaces = s³+ 12
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PLEASE HELP NEED THIS DONE ASAP
Answers
Answer:
Equation: $7 + $1.25t = $43.25
Solving:
$7 + $1.25t = $43.25
$1.25t = 36.25
$1.25t = 36.25
t = 29
So the answer is 29 minutes.
write the recuring deciml 0.15 as a fractions simplest form
Answers
Find all of the zeros
Answers
Answer:
{-3, -1, 1}
Step-by-step explanation:
Zeros refer to x-intercepts. X-intercepts are x values when y = 0. You can tell where they are by looking at where the line passes the x-axis.
Therefore, {-3, -1, 1} are the zeros.
Answer please will give brainlest answer!
Answers
A rational number can always be written as a fraction and a decimal
help please this is timed
Answers
Answer:
$1.25x+$7=$43.25
Step-by-step explanation:
whats the answer? to this
Answers
Answer:
x=2 y=5
Step-by-step explanation: