Find the slope of the line that passes through all of the points
on the table.
X
2
3
4
5
6
Y
3
13
23
33
43
Please help
Answers
Related Questions
Solve and check the linear equation.
3(x-2) + 8 = 2(x + 5)
Answers
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x - 2) + 8 = 2(x + 5)
Step 2: Solve for x
(Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10Combine like terms: 3x + 2 = 2x + 10{Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10[Subtraction Property of Equality] Subtract 2 on both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8 - 2) + 8 = 2(8 + 5)(Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)Multiply: 18 + 8 = 26Add: 26 = 26Here we see that 26 does indeed equal 26.
∴ x = 8 is the solution to the equation.
three workers produce 1500 cans in 4 days. how many days can four workers produce 4000 cans?
a)11
b)10
c)9
d)8
Answers
1500 cans / 3 workers = 500 cans per worker.
1 worker makes 500 cans in 4 days.
4 workers x 500 cans = 2000 cans in 4 days.
2000 x 2 = 4000 cans, 4 days x 2 = 8 days.
It will take 8 days.
Rewrite 2x2x2x2×2×2 as a exponent a exponent
Answers
(2 to the 6th power)
( 70 POINTS!! ) In a survey of 2837 adults, 1436 say they have started paying bills online in the last year.
Construct a 99% confidence interval for the population proportion. Interpret the results.
Question
Part 1
A 99% confidence interval for the population proportion is =( ? , ? )
.
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
B. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
Answers
The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
Part 1:
To construct a 99% confidence interval for the population proportion, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
where the margin of error is determined by the level of confidence and the standard error.
First, let's calculate the sample proportion:
Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)
Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)
Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:
Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)
Now, we can calculate the margin of error:
Margin of Error = Critical Value * Standard Error
The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).
Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)
Finally, we can construct the confidence interval:
Confidence Interval = Sample Proportion ± Margin of Error
Confidence Interval = 0.5066 ± 0.0350
Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)
Part 2:
The correct interpretation is:
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.
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Is it possible to construct a triangle with side lengths of 6, 7, and 11 units? If not, explain why not.
no; 6+7 11
no; 11 +746
no; 6 + 1147
yes
Answers
Answer:
No, we cannot construct the triangle with a side length of 6, 7, and 11 units. It is because the sum of the two sides of the triangle must be greater than the hypotenuse of the triangle.
Answer:
yes
Step-by-step explanation:
sum of any two sides> third side
difference of any two sides<third side
6+7=13>11
11+6=17>7
11+7=18>6
11-6=5<7
11-7=4<6
which is true .
>Dixie had a balance of $109 in her checking account at the beginning of the month. She deposited $344 in the account and then wrotechecks for $141, $73, $185, $39, and $59. Then she made a deposit of $65. If at any time during the month the account is overdrawn,a $10 service charge is deducted. At the end of the month, what was Dixie's balance?Dixie's balance was $iat the end of the month.eTextbook and MediaSave for Later
Answers
we know that
1) Initial Balance=$109
2) She deposited $344
new balance=109+344=$453
3) wrote checks for $141, $73, $185, $39, and $59
total checks=141+73+185+39+59=$497
$497 > $453 -------> overdrawn
so
New balance=453-497=-$44
a $10 service charge is deducted
so
New balance=-44-10=-$54
4) she made a deposit of $65
New balance=-54+65=$21
therefore
At the end of the month, Dixie's balance was $21last year hari was 4 feet tall, and this year he is 5 feet tall. what is the percent increase of his height?
Answers
Answer:
75%
Step-by-step explanation:
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Last year Hari was 4 feet tall, and this year he is 5 feet tall. There is a 25% increase in his height in one year.
What is a percent in math?Percent, a relative value indicating the hundredth part of any amount. One percent (symbolized 1%) is the hundredth part; for that reason, 100 percent represents everything and 200 percent specifies two times the given amount.
Conclusion: The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate the percentage is: (value/total value)×100%.
let 4feet be 100% of his height.
4 - 100%
x% = (increased height/actual height) * 100
x% = (5/4) * 100
x% q= 125
percent increase of height = 125-100 = 25
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PLZ HELP THANKS! Find the equation of the line passing through the pair points (-8,6) (-9,-9). The equation of the line in the form is Ax+By=C.
Answers
Answer:
The answer is
15x - y = - 126Step-by-step explanation:
To find the equation of the line we must first find the slope (m)
\(m = \frac{y2 - y1 }{x2 - x1} \)
So the slope of the line using points
(-8,6) (-9,-9) is
\(m = \frac{ - 9 - 6}{ - 9 + 8} = \frac{ - 15}{ - 1} = 15\)
So the equation of the line using point (-8,6) and slope 15 is
y - 6 = 15( x + 8)
y - 6 = 15x + 120
Writing the equation in the form
Ax+By=C
We have
15x - y = -120-6
The final answer is
15x - y = - 126Hope this helps you
Evan collected 45 trading cards. Jessica collected 3 times as many trading cards as Evan. How many trading cards did Jessica collect?
Answers
Answer: Jessica collected 135 trading cards.
Step-by-step explanation:
you just multiply 45 by 3 to get 135
Owen and Genesis are making fruit salads for a picnic. Owen mixes 14 cups of melon
and 3 cups of apple and Genesis mixes 6 cups of melon and 1 cup of apple. Use Owen
and Genesis's percent of melon to determine whose fruit salad will taste more
melony.
Owen percent of melon (to nearest whole number):
=
Genesis percent of melon (to nearest whole number) =
o Owen's fruit salad will be more melony.
O Genesis's fruit salad will be more melony.
O The two fruit salads will be equally melony.
%
%
Answers
The person whose fruit salad will taste more melony is Genesis. The Option B is correct.
How can we calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
We need to compute the melon percentage to determine whose fruit salad will taste more melony:
1. Ownen mixes 14 cups of melon and 3 cups of apple. The percentage for melon will be:
= 14/(3+14) × 100
= 82.3529411765
= 82.35%
2. Genesis mixes 6 cups of melon and 1 cups of apple. The percentage for melon will be:
= 6/7 × 100
= 85.7142857143
= 85.71%
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Please see screenshot
Answers
The graph of the feasible region is attached
How to determine the graph of the feasible regionFrom the question, we have the following parameters that can be used in our computation:
\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)
To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0
Using the above as a guide, the graph is attached
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the function h is defined by (x)=x^2+2
find h(4n)
h(4n) =
Answers
Answer:
h(4n) =16n^2+2
Step-by-step explanation:
h(4n) = (4n)^2+2
h(4n) =16n^2+2
just do the one that says dessert dont worry about the other box. And the little boxes with the numbers in it, those r the answer.
Answers
Answer:
33
Step-by-step explanation:
OK so you just got to add the 15 with 18 and you'll get 33
Answer:
33
Step-by-step explanation:
I need help with all of these ASAP thank you so much
Answers
Answer:
C
Step-by-step explanation:
Functions meet the vertical line test:
a vertical line will intersect the graph at most at one point
C doesn't pass the vertical line test and is therefor not a function
Please Give Me The Answer
Answers
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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the pants cost $45.Gina had a coupon for 15% off. How much money did she save
Answers
Step by step
Alice used a $250 cash advance from her credit card company to get cash while on a trip. The company charges a daily finance fee of 0.047%. She reported the advance plus the finance fee 40 days later. What amount did Alicia repay the company?
Answers
you do 0.047×40 and what ever that gives you you add it to 40 and it will give you the answer
The amount Alicia repaid to the company after 40 days is $254.7.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Advance cash = $250
Daily finance fee = 0.047%
The daily finance fee for 40 days.
= 40 x (0.047% x 250)
= 40 x 0.1175
= $4.7
The total amount paid after 40 days.
= 250 + 4.7
= $254.7
Thus,
The amount paid to the company is $254.7.
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What is a to the power of 1?
Answers
The number itself equals any integer raised to the power of one.
What is Exponent?
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.
What is integer?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.
Any number that is multiplied by one has the same value as the original number, according to the exponent rule.
Take this as an example:
You can write x to the power of 1 as x and 100 to the power of 1 as 100.
Therefore, anything raised to the power of one equals that number.
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A researcher read a 12 page article in 30 mins. On average how much time did the researcher spend reading each page?
Answers
Answer:
2.5 min
Step-by-step explanation:
Plzzz helps me for once!!! Graph y= -x/3 - 3/2.
Answers
Answer:
go to desmos it is a online graphing calculator
Step-by-step explanation:
-7(1 - 4x) = 13(2x -3)
Answers
Let's solve the equation:
\(\begin{gathered} -7(1-4x)=13(2x-3) \\ -7+28x=26x-39 \\ 28x-26x=-39+7 \\ 2x=-32 \\ x=-\frac{32}{2} \\ x=-16 \end{gathered}\)Therefore, x=-16.
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answers
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
Zelly works 10 hours a week at a food market for $9.50 an hour. She takes home $8.55 an hour after deductions. What is her rate for deductions?
Answers
Answer:
Step-by-step explanation:
$0.95 an hour deducted.
Answer:
100=9.50 what about 8.55, which will give us 90%, take it from the 100%, to give us a deduction rate of 10%
Step-by-step explanation:
Jasmine has a circular swimming pool with a radius of 4.2 meters. What is the circumference of the pool? Use 3.14 for π
. Round to the nearest hundredth if necessary.
__ m
Answers
If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.
The "Circumference" of a circle is known as the distance around the boundary of a circle.
The circumference of a circle is given by the formula : 2 × π × radius,
where π (pi) is a mathematical constant approximately equal to 3.14,
We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :
⇒ Circumference = 2 × 3.14 × 4.2 meters,
⇒ Circumference ≈ 26.4 meters,
Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.
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the table shows the total cost of bowling any number games and renting bowling shoes. write a two step equation to represent the total cost of c for bowling g games.
Answers
Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.
Explain about the slope intercept form:The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form: y=mx+b.
The cost of a game is $4, while the cost of renting shoes is set and unknowable. Since each game costs $4, we already have. Hence, y=4x+b. Yet b is still unknown to us. The constant b in the equation y=mx+b usually refers to the fixed price in linear math equations.We are aware of the a y, overall game cost, and the x, overall game number. These figures are, respectively, $14 and 3.Thus, we include them in the formula: y=4x+b.
14 = 4(3)+b
Find b
14 = 12+b
14 - 12=b
b = 2
Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.
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Complete question:
The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.
a.write an equation to represent the total cost y to rent shoes and bowl x games.
Which graph represents 12 = 3x + 4y line a, line b, line c
Answers
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
Greatest common factor of 30 and 75
Answers
Step-by-step explanation:
The prime numbers 5 and 3 are both factors that are common to 30 and 75. The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.
Answer:
the Greatest common factor of 30 and 75 is 15
Step-by-step explanation:
The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.
Eve is twice as old as her son, and the difference in their ages is 23 years. Find their
ages.
Answers
Answer:
Eve is 46 and her son is 23
Step-by-step explanation:
let x be the son's age then Eve is 2x. the difference in their ages is 23 , so
2x - x = 23 , that is
x = 23
then
Eve = 2 × 23 = 46 years
son = 23 years
5.
Which of these scales are equivalent to 3 inches to 1 yard? Select all that apply.
A.1 inch to 1 foot
B.
6 inches to 9 feet
C.
1 inch to yard
D
1 inch to 12 inches
Please help
Answers
help me...............
Answers
Answer:
1. Hundredths
2. Thousandths
3. Tenths
1.Hundreths
2.Thousandths
3.tenths