The Consumer Price Index (CPI), which measures the cost of a typical package of consumer goods, was 202.2 in 2011 and 244.6 in 2016. Let x = 11 correspond to the year 2011 and estimate the CPI in 2014 and 2015. Assume
that the data can be modeled by a straight line and that the trend continue indefinitely Use two data points to find such a line and then estimate the requested quantities
Answer:
y = 8.48x + 108.92227.64236.12Step-by-step explanation:
According to given we have (x, y) pairs:
(11, 202.2) and (16, 244.6)Work out the equation of the line.
Find the slope:
m = (244.6 - 202.2)/(16 - 11) = 8.48Find the y- intercept using one pair of coordinates:
202.2 = 8.48*11 + bb = 202.2 - 93.28b = 108.92The line is:
y = 8.48x + 108.92Find the value of y when x = 14 and x = 15:
y = 8.48*14 + 108.92 = 227.64y = 8.48*15 + 108.92 = 236.12Segments KN and LM are transversals. What is true about the measure of angle N?
Answer:
It is congruent to M
Step-by-step explanation:
Please help me with these questions. I’m genuinely confused.
Answer:
16: 5
17: 6 4/9
Step-by-step explanation:
I only will give u the answer for a few questions
Help help help help help help help
Answer:
(1,1)0that is the answer I think
Answer:
A = 1,1 B = 4,2 C = 2,4
Explanation:
90 cw (270 ccw) - Same y, opposite x.
180 - opposite x, opposite y
270 cw (90 ccw) - opposite y, same x
PLEASE HELP WITH THIS PROBLEM
Answer:
x=4
Step-by-step explanation:
An amount of $8,000 is invested at a simple interest rate
of 2%. What is the interest earned after 3 years?
Total amount after three years
= $8.360
Explanation:
Given -
Principal amount
p = $.8,000
Rate of interest
r = 1.5%
Duration
n = 3 years
Total amount after three years = Principal amount + Interest amount
Total amount after three years
= p + (pnr) = 8000 + (8000×1.5100×3) = 8000 + 360 = $8.360
Total amount after three years
= $8.360
Answer:
$8.360
Step-by-step explanation:
√12 - 1 √3=?
is correct the answer is 1/√3
THANK YOU
Answer:
[tex]\huge\boxed{\text{Is inorrect. Correct answer is:}}\\\boxed{\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{\sqrt{12}-1}{\sqrt3}=\dfrac{\sqrt{12}}{\sqrt3}-\dfrac{1}{\sqrt3}=\sqrt{\dfrac{12}{3}}-\dfrac{1}{\sqrt3}=\sqrt4-\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=2-\dfrac{\sqrt3}{3}\\\\=\dfrac{6}{3}-\dfrac{\sqrt3}{3}=\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}\\\\\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}[/tex]
Maya earned $225.oo at her job when she worked for 10 hours. What did she earn in one hour?
3. Wu saved $75 towards a new $250 mountain bike. What percent of the total cost of the bike has Wu saved?
Based on the information given the percent of the total cost of the bike has Wu saved is 30%.
Using this formula
Total cost percentage=Amount saved/Cost×100
Where:
Amount saved=$75
Cost =$250
Let plug in the formula
Total cost percentage=$75/$250×100
Total cost percentage=30%
Inconclusion the percent of the total cost of the bike has Wu saved is 30%.
Learn more here:
https://brainly.com/question/17157877
Match the dimensions of each rectangle with its corresponding area.
3 feet by 8 feet
90 square feet
5 feet by 7 feet
24 square feet
9 feet by 10 feet
64 square feet
13 feet by 2 feet
26 square feet
8 feet by 8 feet
35 square feet
Answer:
3x8= 24sf
5x7= 35sf
9x10= 90sf
13x2= 26sf
8x8= 64sf
Step-by-step explanation:
which of the following is a number where the digit 2 represents 1/10 the value of the digit 2 in the number 1,947.5286
Answer:
0.002
Step-by-step explanation:
the digit "2" in this equation represents 0.02 or also 2/100
1/10 of 2/100 would be like multiplying 1/10 and 2/100 and that would get us 2/1000
2/1000 is also 0.002
0.002 is the value of the digit 2 in the number 1,947.5286.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here we have,
the number 1,947.5286.
the digit "2" in this equation represents 0.02 or also 2/100
1/10 of 2/100 would be like multiplying 1/10 and 2/100
and that would get us 2/1000
i.e.
2/1000 is also 0.002
Hence, 0.002 is the value of the digit 2 in the number 1,947.5286.
To learn more on number click:
brainly.com/question/17429689
#SPJ2
Directions: Write the
numerical expression
into word form. I it is in
word form, write it as a
numerical expression.
(8x2)-(3+5)
Answer:
Numerical: (8x2)-(3+5) = 8
Word form: Eight-times-two minus three-plus-five
(8 x 2) - (3 + 5)
16 - 8 = 8
What is the probability of randomly selecting a month of the year and not getting a month that has fewer than 30 days
Answer
11 out of 12
11/12
Step-by-step explanation:
Victor rode his
skateboard 18 miles. If one kilometer
is approximately equal to 0.6 miles,
how many kilometers did Victor skateboard last week?
Answer:
30 kilometers
Step-by-step explanation:
18 divided by 0.6 is 30
1. What is the x-intercept for the equation -2x+5y =-10?
Answer:
2x-5y=10 in slope intercept form is y=2/5x-2. The x intercept would be 5 and the y intercept would be -2. The slope is 2/5.
Step-by-step explanation:
Think about the axis for a moment. You have the y-axis and the x-axis. The y-axis crosses the x-axis at y=0. Consequently the graph must also cross the x-axis when its equation has its y-value set to 0.
Likewise the graph will cross the y-axis when x=0
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solving your question
To find the x-intercept set y=0 giving
[tex] - 2x + 5(0) = - 10 \\ - 2x = - 1 |?| [/tex]
Multiply both sides by ( -1) giving
[tex]2x = 10[/tex]
Divide both sides by 2 giving
[tex] \frac{2}{2} \times x = \frac{10}{2} \\ [/tex]
But [tex] \frac{2}{2} = 1 \: \\ [/tex] giving
[tex]x = \frac{10}{2} \\ [/tex]- BRAINLIEST answerer
Drag each statement to show whether it is true, based on
the graph
Answer:
see attached
Step-by-step explanation:
The independent variable is the one displayed on the horizontal axis: pounds. The dependent variable is the one shown on the vertical axis: cost.
Then the ordered pair shown represents ...
(pound, cost) = (0.65, 2.20)
That is, the cost of 0.65 pounds is $2.20. The cost per pound is found by dividing cost by pounds:
price per pound = $2.20/0.65 lb
__
There is no information shown regarding the weight or cost of a bag of almonds.
The categorization is shown in the attachment.
the ratio of blue paint to yellow paint in a green mixtuer is 2:3. if you use 16 ounces of blue paint, haw many ounces of yellow paint do you need?
Answer:
6.4 ounces
Step-by-step explanation:
The total number of 'parts' is 5 containing 2 parts yellow and 3 parts green so if we divide 16 ounces of blue paint by the 5 parts, we can find 1 part. 1 part is 3.2. Yellow uses 2 parts so we time 3.2 by 2. The answer should be 6.4
Solve
27-(-8)
A. 35
B. 19
C. -19
D. -35
The correct alternative that, matches the correct value of this expression is the letter A. That is, the answer will be 35.
Step-by-step explanation:To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.
_ When the signs are the same: just add them up.
_ When the signs are different: just subtract.
Resolution:[tex]\large \sf =27-(-8)[/tex]
[tex]\large \sf =27+8[/tex]
[tex]\boxed{\boxed{\large \sf \ 35 \ }}[/tex]
So, the numeric value of this numeric expression will be 35.
Can Someone help me on this math question please
I will mark u brainless please
please help :,) it’s due tomorrow and i’m so confused
Answer:
I can't see the file or I can't open the file
Step-by-step explanation:
3 of 8
Write 264 as a product of primes.
Use index notation when giving your answer.
Answer: The prime factors of 2 × 2 × 2 × 3 × 11. The final answer is 264.
what is the length of DE
Answer:
Step-by-step explanation:1
A couple stayed for 3 years before having their first child. then 2 years before the second. 2 years again before the third, and so on until the sixth child. If the husband was 28 years and the wife was 25 years when they had their first child, what is the sum of the ages of the couple a year before the last born?
Answer:
71
Step-by-step explanation:
25+2+2+2+2+1=34
28+2+2+2+2+1=37
sum=34+37
71
Answer:
3+2+2=7 year back
28-7=21
25-7=18
years old pls mark me as brainlist
A photograph measures 15 cm by 20 cm. It is made smaller in the ratio 4:5 What are the dimensions of the new photograph?
HELP PLSS !!!!!
Answer:
12cm by 15cm
8cm by 10cm
4cm by 5cm
Step-by-step explanation:
it is made smaller so any values smaller than 15cm but in ratio of 4:5 can be answer
Answer:
15 cm is the new dimensions of new photograph
Step-by-step explanation:
initial dimension of shorter side = 8 cm
initial dimension of longer side = 10 cm
final dimension ofshorter side = 12 cm
finial dimension of longer side = x cm
The enlargement always ensure the aspect ratio
aspect ratio = lonter side/shorter side
equating, [tex]\frac{10}{8}[/tex] = [tex]\frac{x}{12}[/tex]
Solving for x,
10 × 12 = 8 × x
[tex]x = \frac{10 x 12 }{8} = \frac{120}{8 } = 15[/tex]
/\
that says 10 x 12
longer side is 15cm
(Hope this helps can I pls have brainlist (crown)☺️)
A random sample of 500 registered voters from one state was obtained. The party affiliation and sex of each voter was recorded and is listed in the following table. (Follow standard statistical rounding rules for all computations.)
a) A journalist who writes for a statewide newspaper wants to construct a confidence interval for the true proportion of registered voters that are affiliated with Party X. Verify that all requirements for constructing such a confidence interval are met.
b) Construct a 99% confidence interval for the true proportion of registered voters that are affiliated with Party X. Show all work. (Hint: the critical value, the margin of error, p, q, the computation, etc.)
c) The Governor of the state believes that a majority of all registered voters in the state are affiliated with Party X because the confidence interval includes values greater than 50% Does the data in the table support the Governor’s belief? Justify your answer.
Using the z-distribution, it is found that:
a) There are more than 10 successes and 10 failures in the sample, hence the conditions are met.
b) The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).
c) Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.
Item a:
The requirement is that there are at least 10 successes and 10 failures in the sample.
244 out of 500 voters are affiliated with party X, hence 500 - 244 = 256 are not, meaning that there are more than 10 successes and 10 failures in the sample, hence the conditions are met.
Item b:
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].
244 out of 500 voters are affiliated with party X, hence:
[tex]n = 500, \pi = \frac{244}{500} = 0.488[/tex]
99% confidence level, hence[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 lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.43[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.546[/tex]
The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).
Item c:
Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.
A similar problem is given at https://brainly.com/question/16807970
Simplify the expression (ab^2)*(-b^4a^3)^2
if any doubt leave a comment below
1. In a scale drawing of a statue the scale is 1 in. = 1 foot. If the scale drawing is 9 in., how tall is the statue? 12 feet 4.5 feet 9 feet 18 feet4
Answer:
9 feet
Explanation :
9 feet beacause
1 in. = 1 foot so 9 in. = 9 feet
Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?
I WILL MARK YOU A BRAINLIEST
Answer:
25-10 (25 - A and 10 - B)
Step-by-step explanation:
25 - 10 equals the 15 point margin
25 plus 10 equals the 35 point score combined
Hope it helps
Answer:
25 to 10
First of all, you'd have to write an equation.
35 = (x+15) + x
total number of points Team A Team B
Subtract 15 from both sides.
20 = 2x
Divide.
20/2 equals X=10
Then you would add 15 to 10 and that would be Team A's score, therefore 25, Team B's is 10.
NEED HELP PLS
Marques was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 32%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
1.32
Step-by-step explanation:
1.32
Point-Slope Form of a Line