Answer:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
Step-by-step explanation:
Given
[tex](63.3\%,79.1\%)[/tex]
Required
Express in form of: [tex]p \± ME[/tex]
First, calculate the midpiont (p)
[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]
[tex]p = \frac{142.4\%}{2}[/tex]
[tex]p = 71.2\%[/tex]
The margin of error (ME) is:
[tex]ME =79.1\% - 71.2\%[/tex]
[tex]ME =7.9\%[/tex]
So, we have:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 26 gallons.
Tank size (gal)(x)
Total cost ($)f(x)
11
24.15
12
26.05
17
35.55
Answer:
Step-by-step explanation:
If this is linear, then the difference between each x/y coordinate is constant, representing the slope of a straight line. We can find the slope of that line by using the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For use we will use the coordinates (11, 24.15) and (12, 26.05) from the data as our x and y values respectively. Filling in the formula:
[tex]m=\frac{26.05-24.15}{12-11}[/tex] which gives us the cost per gallon of gas as
m = 1.90
Now that we know the cost per gallon of gas (which is also the slope of the line we are looking for), we will use that slope value, m, and write the equation in point-slope form and then solve it for y. Point-slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex] where y1 and x 1 are the coordinates from a given data point. We can use either one; regradless of the point we choose as x and y, we'll get the same exact answer every time. Let's use the coordinate (12, 26.05) and fill in the point-slope form of the line:
y - 26.05 = 1.90(x - 12) and then we will distribute and solve for y:
y - 26.05 = 1.90x - 22.80 and
y = 1.90x + 3.25
That's the equation we need to solve for what the second part of the question is asking us to, which is to find the cost, y, of filling a tank that is 26 gallons, x. Fill in 26 for x and solve for y:
y = 1.90(26) + 3.25 and
y = 49.40 + 3.25 so
y = $52.65
Ik its another one of these
Find the measure of angle x in the figure below:
In 2015, there were approximately 3,774,000 births in a country. Find the birth rate in births per minute.
Answer:
7.18 / minute.
Step-by-step explanation:
The number of minutes in 2015 = 365 * 24 * 60 = 525,600.
So birth rate = 3,774,000 / 525,600
= 7.18
I need the surface area for this prism. If you could provide a formula too, that would be great!
Answer:
136 [tex]m^{2}[/tex]
Step-by-step explanation:
Back of the shape area/ front of the shape area
A = [tex]\frac{1}{2}[/tex] [tex](bh)[/tex]
A = [tex]\frac{1}{2}[/tex] (6 × 4)
A = [tex]\frac{1}{2}[/tex] (24) Divide 24 ÷ 2
A = 12
Bottom of the shape area
A = l · w
A = 7 · 6
A = 42
Left side of the shape area/right side of the shape area
A = l · w
A = 7 · 5
A = 35
---------------------------------------------------------------------------------
35 + 35 + 42 + 12 + 12 = 136 [tex]m^{2}[/tex]
SA = 136 [tex]m^{2}[/tex] Surface Area = 136 [tex]m^{2}[/tex]
hELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Find common denominators, note that what you multiply (or divide) to the denominator, you must also do the same to the numerator.
1)
[tex]\frac{2}{3} , \frac{3}{4} \\\frac{2}{3} * \frac{4}{4} = \frac{8}{12} \\\frac{3}{4} * \frac{3}{3} = \frac{9}{12}[/tex]
Answers: [tex]\frac{8}{12} ; \frac{9}{12}[/tex]
2)
[tex]\frac{1}{4} , \frac{2}{3} \\\frac{1}{4} * \frac{3}{3} = \frac{3}{12}\\\frac{2}{3} * \frac{4}{4} = \frac{8}{12}[/tex]
Answers: [tex]\frac{3}{12} ; \frac{8}{12}[/tex]
3)
[tex]\frac{3}{10} , \frac{1}{2} \\\frac{3}{10} * \frac{1}{1} = \frac{3}{10}\\\frac{1}{2} * \frac{5}{5} = \frac{5}{10}[/tex]
Answers: [tex]\frac{3}{10} ; \frac{5}{10}[/tex]
4)
[tex]\frac{3}{5} , \frac{3}{4}\\\frac{3}{5} * \frac{4}{4} = \frac{12}{20}\\\frac{3}{4} * \frac{5}{5} = \frac{15}{20}[/tex]
Answers: [tex]\frac{12}{20} ; \frac{15}{20}[/tex]
5)
[tex]\frac{2}{4} , \frac{7}{8} \\\frac{2}{4} * \frac{8}{8} = \frac{16}{32}\\\frac{7}{8} * \frac{4}{4} = \frac{28}{32}[/tex]
Answers: [tex]\frac{16}{32} ; \frac{28}{32}[/tex]
6)
[tex]\frac{2}{3} , \frac{5}{12}[/tex]
[tex]\frac{2}{3} * \frac{12}{12} = \frac{24}{36} \\\frac{5}{12} * \frac{3}{3} = \frac{15}{36}[/tex]
Answers: [tex]\frac{24}{36} ; \frac{15}{36}[/tex]
7)
[tex]\frac{1}{4} , \frac{1}{6} \\\\\frac{1}{4} * \frac{6}{6} = \frac{6}{24} \\\frac{1}{6} * \frac{4}{4} = \frac{4}{24}[/tex]
Answers: [tex]\frac{6}{24} ; \frac{4}{24}[/tex]
Find common denominators, note that what you do to the denominator, you do to the numerator:
8.
[tex]\frac{1}{2} [] \frac{2}{5} \\(\frac{5}{5}) \frac{1}{2} [] \frac{2}{5} (\frac{2}{2})\\\frac{5}{10} \neq \frac{4}{10}[/tex]
Answer: Does not equal.
9.
[tex]\frac{1}{2} [] \frac{3}{6} \\\frac{1}{2} (* \frac{3}{3}) [] \frac{3}{6}\\\frac{1 * 3}{2 * 3} [] \frac{3}{6} \\\frac{3}{6} = \frac{3}{6} \\\\\frac{1}{2} = \frac{3}{6}[/tex]
Answer: Does equal.
10.
[tex]\frac{3}{4} [] \frac{5}{6}\\(\frac{6}{6})\frac{3}{4} [] \frac{5}{6}(\frac{4}{4})\\\frac{18}{24} \neq \frac{20}{24}[/tex]
Answer: Does not equal.
11.
[tex]\frac{6}{10} [] \frac{3}{5} \\\frac{6}{10} [] (\frac{3}{5} )(\frac{2}{2})\\\frac{6}{10} [] (\frac{3 * 2}{5 * 2})\\\frac{6}{10} = \frac{6}{10}[/tex]
Answer: Does equal.
12. You are simply only looking for the least number of parts that both rectangles can be divided too. Find the least common multiple of both 3 and 4:
Multiples of 3: 3, 6, 9, 12
Multiples of 4: 4, 8, 12
12 is your answer.
13. Find common denominators. Note that what you do to denominator, you do to the numerator:
[tex]\frac{2}{5} * \frac{2}{2} = \frac{4}{10}\\\frac{1}{2} * \frac{5}{5} = \frac{5}{10}[/tex]
Answers: [tex]\frac{4}{10}[/tex] , [tex]\frac{5}{10}[/tex]
~
Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them? 12x 12x2 + 40 12x + 40 8x + 40
Complete question is;
Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies. Company A $4 per table (seats 4) and a $25 one-time delivery and pickup fee Company B $2 per chair and a $15 one-time delivery and pickup fee Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table. x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25 Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them?
A) 12x
B) 12x² + 40
C) 12x + 40
D) 8x + 40
Answer:
C: 12x + 40
Step-by-step explanation:
We are told that the Cost to rent tables from Company A is;
f(x) = 4x + 25
Also, we are told that the Cost to rent tables from Company B is;
g(x) = 2(4x) + 15
Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;
Total = f(x) + g(x)
Total = 4x + 25 + 2(4x) + 15
Total = 4x + 25 + 8x + 15
Total = 12x + 40
Plz help 10 pts
X=
4
6
12
Answer:
x = 12
Step-by-step explanation:
The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.
3*x = 6^2
3x = 36
Divide each side by 3
3x/3 = 36/3
x = 12
First person will get brainiest
Answer:
341.6
Step-by-step explanation:
This problem asks one to subtract (58.4) from (400).
400 - 58.4 = 341.6
Less than is subtraction.
Subtract 58.4 from 400
400 - 58.4 = 341.6
The answer is 341.6
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
Answer:
The probability that the month starts with the letter J or the letter M is 41.66%.
Step-by-step explanation:
Given that a month of the year is chosen at random, to determine what is the probability that the month starts with the letter J or the letter M, the following calculation must be performed:
January - March - May - June - July = 5 months
(5/12) x 100 = X
0.4166 x 100 = X
41.66 = X
Therefore, the probability that the month starts with the letter J or the letter M is 41.66%.
Answer:
5/12
Step-by-step explanation:
Months that start with the letter M are March and May
Months that start with J are January, June, July
So, in total the months that start with J and M are 5 in number.
Total number of months = 12
Therefore the probability = 5/12 or 0.416 (bar on 6)
Hope u understood
Please mark as brainliest
Thank You
rearrange 3f+2g+3h+g-h-f
Answer:
2f+3g+2h
hope this helps
have a good day :)
Step-by-step explanation:
Two cards are drawn without replacement from an ordinary deck, find the probability that the second is not a black card, given that the first is a black card. What is the conditional probability?
(a) [tex]\frac{26}{51}[/tex]
(b) [tex]\frac{26}{51}[/tex]
Step-by-step explanation:(i) Probability is the likelihood of whether or not an event will occur. It is given by the ratio of the number of favourable outcomes to the number of expected outcomes. i.e
P = number of favourable outcomes / total number of possible outcomes
For drawing a first card which is black,
number of favourable outcomes = 26 (since there are a total of 26 black cards in a deck of card)
total number of possible outcomes = 52 (since the total number of cards in a deck of card is 52)
∴ Probability of drawing the first black card = 26 / 52 = 1 / 13
Since the second card is not a black card, it is a red card.
number of favourable outcomes = 26 (since there are a total of 26 red cards in a deck of card)
total number of possible outcomes = 51 (since a black card has been previously picked from the deck)
∴ Probability of drawing a second black card = 26 / 51
The probability that the second is not a black card is 26 / 51
(ii) The conditional probability of a given event B is the probability that the event will occur knowing that a previous event A has already occurred,
It is given by;
P(B|A) = P(A and B) ÷ P(A)
In this case;
event B is drawing a second card which is not black
event A is drawing a first card which is black
This implies that;
P(A and B) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex]
P(A) = [tex]\frac{1}{13}[/tex]
Substitute these values in the equation for conditional probability as follows;
P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] ÷ [tex]\frac{1}{13}[/tex]
P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] x [tex]\frac{13}{1}[/tex]
P(B|A) = [tex]\frac{26}{51}[/tex]
Therefore the conditional probability is [tex]\frac{26}{51}[/tex]
The proportion of iphone users over other smart phones is said to be 42%. We believe the propotion may be greater. Determine the sample size needed to test this claim using alpha = 0.05, beta = 0.05, and the maximum error we will allow is 0.10.
A.
322
B.
379
C.
504
D.
269
Please help! And hurry
Answer:
the answer is b
Step-by-step explanation:
Answer:
b: 78.5cm²
Step-by-step explanation:
answer is b my friend
The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginning with a small sample of 10 randomly selected consumers, find the probability that exactly 9 of the 10 consumers recognize her brand name. Also, find the probability that the number who recognize her brand name is not nine.
Answer:
0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.
0.6126 = 61.26% probability that the number who recognize her brand name is not nine.
Step-by-step explanation:
For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The brand name of Mrs. Fields (cookies) has a 90% recognition rate.
This means that [tex]p = 0.9[/tex].
Sample of 10
This means that [tex]n = 10[/tex]
Find the probability that exactly 9 of the 10 consumers recognize her brand name.
This is P(X = 9). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874[/tex]
0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.
Also, find the probability that the number who recognize her brand name is not nine.
1(100%) subtracted by those who recognize. So
1 - 0.3874 = 0.6126
0.6126 = 61.26% probability that the number who recognize her brand name is not nine.
Maria has $5.00 more than José. Together they have. $37.50.
Which of these equations would you use to find the amount of money José has?
Answer:
B
Step-by-step explanation:
Maria has $5.00 more than José
Maria, M
Jose, j
M = j + $5
j + M = $37.50
j + j + $5 = $37.50
The amount of money José has is $16.25.
What is the equation?An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Maria has $5.00 more than José.
Together they have. $37.50.
Let, the amount of money José has be x.
Based on the given conditions, formulate:
[tex]\rm 5+2\times x=37.50\\\\5+2x=37.50\\\\2x=37.50-5\\\\2x=32.50\\\\x=\dfrac{32.50}{2}\\\\x= 16.25[/tex]
Hence, the amount of money José has is $16.25.
Learn more about equation here;
brainly.com/question/21511618
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how do you prove a theorem?
Answer:
Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction.
Step-by-step explanation:
Answer:
There are many different ways to go about proving something, discuss 3 methods: direct proof, proof by contradiction, proof by induction. Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction
hope this helps
have a good day :)
Step-by-step explanation:
give the other person brainliest pls
A population of bacteria starts 8 and is doubling every 12 hours. What equation
represents how many bacteria there will be after x days?
Answer:
a = 8 * (2)^(2x)
Step-by-step explanation:
There are 2 12hours periods in a day
a = 8 * (2)^(2x)
A runner runs a distance of 450 metres in a time of 50 seconds. What is his average speed?
Answer:
0.279 miles / 0.449 km
Step-by-step explanation:
convert the meters into miles/kilometers to get your answer
The average speed of the runner is 9 meters per second.
What is the difference between average and instantaneous speed?The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.
For instantaneous speed and average speed are equal for an object moving with constant speed.
The distance travelled and time are given as 450 meters and 50 seconds respectively.
The average speed is given as,
Total distance travelled ÷ Total time taken
= 450 ÷ 50
= 9
Hence, the runner has the average speed of 9 m/s.
To know more about speed click on,
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What is the median of this set of data?
32,36,38,39,42
Answer:
38
Step-by-step explanation:
To find the median, make sure the number are in increasing order (they are), then start crossing out the outside numbers until you meet in the middle:
32 36 38 39 42
/ 36 38 39 /
/ / 38 / /
The only number left is 38, so the median is 38.
If there were two numbers remaining, you would take the average of the two.
(Add both numbers and divide by 2)
Find the surface area l=12 w=4 h=2
Answer:
SA=160
Step-by-step explanation:
surface area of cuboid=2lw+2wh+2hl
=2(12)(4)+2(4)(2)+2(2)(12)
=96+16+48
=160
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Can anyone help me find the function for this trig graph ? i need a specific answer for the function , not just telling me how to find it . 80 pts
Answer:
y = 5 sin (2x) + 4
Step-by-step explanation:
this is sines function,
the amplitude is [9 - (-1)]/2 = 10/2 = 5
the period is 2πx/π = 2x
the x-axis of actual function is at y = 4
so, the function is :
y = 5 sin (2x) + 4
LaVilla is a village in the Italian Alps. Given its enormous popularity among Swiss, German, Austrian, and Italian skiers, all of its beds are always booked in the winter season, and there are, on average, 1562.664 skiers in the village. On average, skiers stay in LaVilla for 17.8 days. How many new skiers are arriving - on average - in LaVilla every day
Answer:
87.79
Step-by-step explanation:
Given :
Number of skiers in the village = Inventory = 1562.664
Stay time in LaVilla = 17.8 days
The number of new skiers arriving on average per day is :
According to Little's theorem :
Inventory / flow time
1562.664 / 17.8
= 87.79
Hence, 87.79 arrive LaVilla per day on average
What value is closest to the area of the damaged section?
Answer:
6.0 square feet
Step-by-step explanation:
6 ÷ 2 = 3(radius)
are of the damaged section = x
77/360 = x/3²π
=> x = 77 × 9π ÷ 360 = 6.0445 <= 6.0 square feet is the closest to this number
20
What is the perimeter of the quadrilateral below? If necessary, round to the nearest tenth.
Answer:
Perimeter = 33.4 units.
Step-by-step explanation:
The 2 horizontal lines are 10 and 3 units long.
The vertical line is 9 units long.
By Pythagoras the length of the sloping line
= sqrt(9^2 + 7^2)
= sqrt(130)
= 11.4017.
Perimeter = 10 + 3 + 9 + 11.4
= 33.4 units.
Write the fraction 2/3 as the sum of unit fraction
9514 1404 393
Answer:
1/2 + 1/6
Step-by-step explanation:
2/3 = 1/2 + 1/6
__
The sum of unit fractions is called an Egyptian Fraction. There are several different algorithms for finding such a sum. Here, we are starting with the form ...
2/p
where p is a small prime. Then the sum can be written as ...
1/((p+1)/2) +1/(p(p+1)/2) = 1/(4/2) +1/(3(4/2)) = 1/2 + 1/6
A different algorithm is used when p is a composite number.
__
Using the "greedy" algorithm, we can find the largest unit fraction less than 2/3 to be ...
1/ceil(3/2) = 1/2
Then the largest unit fraction in the remainder is similarly found. The remainder is ...
2/3 -1/2 = 1/6 . . . . already a unit fraction
So, the sum is ...
2/3 = 1/2 + 1/6
A rope is 50 meters long. It is cut into two pieces and one piece is 8 meters longer than the other. What are the two lengths?
Show work please
Answer:
21 meters and 29 meters
Step-by-step explanation:
x + (x + 8) = 50
2x + 8 = 50
2xc = 42
x = 21
x + 8 = 29
I need an answer ASAP
Estimate the given product 61 x 47 =
If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g•h)(-3)?
Answer:
8/5
Step-by-step explanation:
First find h(-3)
h(-3)= 4-(-3) = 4+3 = 7
Then take this result and find g(h(-3)) = g(7)
g(7) = (7+1)/( 7-2) = 8/5
A basket contains 20 red apples. The rest of the apples are green. The
number of red apples is 80% of the total number of apples. How many
total apples are in the basket?
Answer: 25 total apples
Step-by-step explanation:
so you would set up an equation where 20 = 0.80x
20 is 80 percent of the total (x)
so then solve for x, which would be 20 divided by 0.8
That's 25