The population of US is 330 million approx.
What is percent?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." The number "%" is used to symbolize it.
Given
population of new york = 2.727272% population of US
population of new york = 9 million
population of US = 1/2.727272% of new york
population of US = 36.6666 x 90,00,000
population of US = 33,00,00,087.9 = 330 million approx
Hence population of US is approx 330 million.
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Model -2/4 + 3/4 on the number line
The model lies between 0 and 1 on the number line.We can find by dividing number and then add both of number.
How do we represent number on a number line?The real number line is a horizontal line with arrows on both sides. It consists of the origin “0”. All the positive numbers are represented on the right side of the origin and all the negative numbers are represented on the left side of the origin, with a definite scale.
What is a Number Line Model?A number line model is a representation of numbers plotted on an infinite line that extends at both ends.It is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides horizontally or vertically.
Now we find
-2/4 =-0.5
3/4= 0.75
0.75- 0.5=0.25
which is lies between 0 and 1 on the number line.
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Mona loves the ocean, so she was thrilled to visit the beach and collect some seashells. The function g(x) gives the number of seashells Mona found after x minutes of searching.
What does g(30)≥20 tell you?
The inequality g(30) ≥ 20 us that: D. Mona found no more than 20 seashells in the first 30 minutes.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than or equal to (≥).Greater than (>).Less than (<).Less than or equal to (≤).How to determine the required function?Assuming the variable g represents the total number of seashells and the variable x represents the total number of time (minutes), an inequality which would model the situation is given by;
g(x) ≥ x
when x = 30, we have;
g(30) ≥ 20
Therefore, Mona found no more than (less than or equal to) 20 seashells in the first 30 minutes.
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Complete Question:
Mona loves the ocean, so she was thrilled to visit the beach and collect some seashells. The function g(x) gives the number of seashells Mona found after x minutes of searching.
What does g(30) ≥ 20 tell you?
It took at least 20 minutes for Mona to find 30 seashells.
Mona found at least 20 seashells in the first 30 minutes.
It took at least 30 minutes for Mona to find 20 seashells.
Mona found no more than 20 seashells in the first 30 minutes.
Tessa bought stock in a restaurant for $208.00. Her stock is now worth $284.96. What is the percentage increase of the value of Tessa's stock?
Answer:
37.04%
Step-by-step explanation:
To find the percentage increase in the value of Tessa's stock, we need to calculate the difference between the original price and the current price, and then divide that difference by the original price, and multiply by 100 to express the result as a percentage.
Here is the calculation:
percentage increase = ((284.96 - 208.00) / 208.00) * 100
= (76.96 / 208.00) * 100
= 37.04 * 100
= 37.04%
So Tessa's stock has increased in value by 37.04%.
Answer:
37 % increase
Step-by-step explanation:
To find the percentage increase, take the new amount and subtract the original amount
284.96 -208 =76.96
Divide this by the original amount
76.96/208=.37
Change the decimal form to a percent
.37 * 100% = 37 %
hello i need help with question 5 please i need help
a) The total cost of buying the car with HST is given as follows: $36,160.
b) The amount of money saved by the customer leasing the car instead of buying is given as follows: $14,760.
c) The customer should lease a new car, as according to the two options in this problem, leasing is more economic than purchasing a new car.
How to obtain the costs?
The costs are obtained applying the proportions in the context of this problem.
The HST tax is the Ontario Sales Tax, which means that an additional 13% of taxes has to be paid when purchasing the car.
Hence the total cost of buying the car, considering the HST tax, is given as follows:
1.13 x 32000 = $36,160.
The costs for leasing the car are given as follows:
$1,000 down payment.48 payments of $425.Hence the total cost for leasing the car is given as follows:
1000 + 48 x 425 = $21,400.
Then the amount saved by the customers when he/she decides to lease the car instead of purchase is given as follows:
36160 - 21400 = $14,760.
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the average weight of 20 students in a certain school was found to be 165 with a standard deviation of 4.5 a) construct a 90% confidence interval for the population mean
A 90% confidence interval for the population mean is; CI = (163.355, 166.655)
How to find the confidence Interval?The formula to find the confidence level here is;
CI = x' ± z(s/√n)
Where;
CI is confidence level
z-score at confidence level
x' is sample mean
s is standard deviation
n is sample size
We are given;
Sample mean; x' = 165
Sample size; n = 20
standard deviation; s = 4.5
z at CL of 90% = 1.645
Thus;
CI = 165 ± 1.645(4.5/√20)
CI = 165 ± 1.655
CI = (163.355, 166.655)
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Find value of x in a hexagon with 2x,3x and x
Answer:
x = 120°
Step-by-step explanation:
Given the following data;
Angles = 2x, 3x and x
We know that a hexagon has 6 sides and the sum of it's interior angles is equal to 720°
2x + 3x + x = 720
6x = 720
x = 720/6
x = 120°
Check:
2x = 2*120 = 240°
3x = 3*120 = 360°
x = 120°
240 + 360 + 120 = 720°
help meeeeeeeee PLEASEEEEE
Answer:
Step-by-step explanation:
5 blocks in 12 minutes
1 hour = 60 minutes
60 div. by 12 = 5
5 meaning theres 5, 12 mins in an hour
so, 5 x 5 = 25
25 meaning blocks per hours
25 + 25 = 50
50 blocks in 2 hours :)
Anna and Jayla are reading the same
book. Anna is on page 150 and reads
7 pages a day. Jayla is on page 110 and
reads 15 pages a day. After how many
days will Anna and Jayla have read the
same number of pages? Explain.
A line has a slope of 8 and crosses the y-axis at (0, 12). Express this line in slope-intercept form.
Answer:
y = 8x + 12
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.
The problem just handed you everything you need! Awesome!
Replace m with 8. Replace b with 12.
If a line crosses the y-axis at (0, b), then b is the y-intercept.
Evaluate m - 16 when m = 30
[tex]m-16[/tex] when m is 30
Substitute for m with given value:
[tex](30)-16[/tex]
[tex]=\fbox{14}[/tex]
Answer:
Step-by-step explanation:
a.we can get the equation is m-16 = 30-16=10+20-10-6=10-6+20-10=4+10=14
answer is 14
How many tens do u need to make 280
Answer: 28
Step-by-step explanation:
280/10=28
(/=divide)
If you have 10 baskets and have 280 apples to evenly distribute them in every basket, you would have 28 in each basket. If that makes sense.
Hope this helps!
Which of the following terms correctly describe the object below?
Check all that apply.
D A. Prism
B. Solid
C. Cube
D. Pyramid
E. Polyhedron
F. Polygon
Answer:
A..is the answer of the question
Answer:
Polyhedron, Prism and Solid
what is 4/5 divided by 2/3
the slope to (9, -10), (0, 8) with the work shown please.
Answer:
-2
Step-by-step explanation:
To find the slope, subtract y1 - y2, then divide by x1-x2
The y numbers in this set is -10 & 8
The x numbers in this set is 9 & 0
-10-8= -18
9-0 = 9
-18/9 = -2
The slope would be -2
Publishers of a magazine wish to determine what proportion of the magazine's 50,000 subscribers are pleased with their subscription. The publishers intend to mail a survey to 1,000 subscribers randomly selected from those who have received the magazine for 5 years or more. This introduces selection bias, since long-subscribing customers are more likely to be pleased with their subscription. Which of the following would best eliminate selection bias?
a. Mail surveys to 2,000 subscribers randomly selected from those who have received the magazine for 5 years or more.
b. Mail surveys to 1,000 subscribers randomly selected from those who have received the magazine for 1 year or less.
c. Mail surveys to 1,000 subscribers randomly selected from all subscribers.
d. Mail surveys to 1,000 subscribers randomly selected from those who have received the magazine for 5 years or more and 1,000 subscribers randomly selected from those who have received the magazine for 1 year or less.
e. Mail surveys to 500 subscribers randomly selected from a group who have received a free six-month subscription within the past year.
Answer:
d. Mail surveys to 1,000 subscribers randomly selected from those who have received the magazine for 5 years or more and 1,000 subscribers randomly selected from those who have received the magazine for 1 year or less.
Step-by-step explanation:
In the case of the publishers of the magazine, in order to avoid bias, they would adopt he approach mentioned in the above statement. That is, to consider both those that have recieved the magazine for the past five years or more as well as those who have recieve the magazine for the past one year or less.
This would help them to have a balanced outcome in the survey because all, would attend the the survey with a free mindset rather than baised mindset.
the average number of wins for a team is 7.6 for the season with a standard deviation of 1.3. What is the probability that the team will win more the 9 games this season?
The probability that the team will win more than 9 games this season, given the average number of wins for the team, is 4 %
How to find the probability ?The Z-score formula is:
Z = (x - mean) / standard deviation
Where x is the number of wins we're interested in (9), mean is the average number of wins (7.6), and standard deviation is the standard deviation of the number of wins (1.3)
Z = (9 - 7.6) / 1.3
= 2.3 / 1.3
= 1.77
This means that 9 wins is 1.77 standard deviations above the mean. The result is the probability of a team winning more than 9 games this season, which is around 0.04 or 4% from the standard normal distribution table.
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HELP ASAP
Which three-dimensional figure is formed when the square is
rotated about the line?
O cube
O rectangular prism that is not a cube
O cone
O cylinder
Answer:
a cylinder.
Step-by-step explanation:
I hope this helps
If your good at compound interest i need help with this question 15
Answer:
4000
Step-by-step explanation:
10% of 3120 = 312
312 x 3 = 936
3120 + 936 = 4056
4056 rounded to the nearest thousanth = 4000
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Which of the following are true statements about any regular polygon? Check all that apply.
Answer:
They are convex, all sides are congruent, their angles are congruent, and the sum of their exterior angles is 360º.
Step-by-step explanation:
You purchased an antique guitar for 8600. It is expected to appreciate at 2.4% annually. How long will it take the guitar to double in value
Lenore rounds each factor to the nearest ten to estimate the product of 51 times 37 as 1,500.is Lenore’s estimate reasonable?Explain.
Answer:
yes
Step-by-step explanation:
51 to nearest ten is 50
37 to nearest ten is 40
50 * 40 = 2000
and it's an estimate so yes
below is the probability tree representing natalie selecting socks.
What is the probability that Natalie selects at least one black sock?
Answer:
[tex]P(Black \ge 1) = \frac{55}{64}[/tex]
Step-by-step explanation:
Given
The attached tree diagram
Required
[tex]P(Black \ge 1)[/tex] --- at least 1 black socks
To do this, we consider the following selections of black (b)
[tex]b = \{BB, BW, WB\}[/tex]
Where
[tex]B\to Black[/tex]
[tex]W\to White[/tex]
From the attached tree diagram, we have:
[tex]BB =\frac{25}{64}[/tex]
[tex]BW =\frac{15}{64}[/tex]
[tex]WB =\frac{15}{64}[/tex]
So:
[tex]P(Black \ge 1) = BB + BW + WB[/tex]
[tex]P(Black \ge 1) = \frac{25}{64} + \frac{15}{64} + \frac{15}{64}[/tex]
Take LCM
[tex]P(Black \ge 1) = \frac{25+15+15}{64}[/tex]
[tex]P(Black \ge 1) = \frac{55}{64}[/tex]
What is the distance between (2, -4) and (9,-4)?
8 units
11 units
0 units
07 units
Answer: 7 units
Step-by-step explanation:
At the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $? Assuming pi = 3.14
I 've been stuck on this for so long can someone please help me out?!
a baker has 85 cups (c) of flour to make bread.she uses 6 1/4 c of flour for each loaf of bread
The baker can make 13 loafs of bread using 85 cups of flour using 6 1/4 c of flour for each loaf of bread.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A baker has 85 cups (c) of flour to make bread she uses 6 1/4 c of flour for each loaf of bread.
Now, The fraction 6 1/4 can be written as 25/4.
Therefore, The number of bread loaf the baker can make is,
= (85/25/4).
= 85×(4/25).
= (17×4)/5.
= 68/5.
= 65/5 + 3/5.
= 13 + 3/5.
So, he can make 13 bread loafs.
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What are the examples of METRIC SYSTEM AND COMMON FACTORS, ANGLES, And HEPTAGON sides?
Please i need your help!!
Answer:
hey
Step-by-step explanation:
plea se solve step by step solve
it's very urgent plzz
How to Solve the problem 7/8 x 4 =
Answer:
The Answer is gonna be 7/8 x 4 =3.5
This is the right Answer :3
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Britney bought 4 apples, 5 bananas, and 8 oranges at the grocery store.
Which is the ratio of apples to oranges written as a decimal?
A.
1.6
B.
0.4
C.
0.8
D.
0.5
Answer:
Step-by-step explanation:
The question asks for apples to oranges.
So put the number of apples as a numerator and the number of oranges as a denominator. Simply put 4 on top and 8 on the bottom:
4/8 then divide: 4 divided by 8 = .5
There is the ratio as a decimal.
0.5
Option D
4. Find the sum of the first 21 terms in a series where a = 20 and t21= 400.
5. Find the sum of the first 100 terms in a series where a = 0 and t100= 99.
6. Find the sum of the first 50 terms in a series where a = 4 and t50= 196.
7. Find the sum of the first 100 terms in a series where a = 0 and t100= 99.
8. Find the sum of the first 10 terms in an arithmetic series where t7= 7 and t10= 13.
9. Find the sum of the first 10 terms in an arithmetic series where t5= 15 and t10= 45.
10. Find the sum of the first 30 positive multiples of 5.
The first 100 terms of a series add up to 4950, and the first 21 terms of a series where a = 20 and t21 = 400 add up to 4410
what is arithmetic progression ?An arithmetic progression is when the difference between each phrase that follows another in a sequence is always the same. For instance, the sequence 5, 7, 9, 11, 13, and 15 is an example of an arithmetic progression with a 2 tolerance. A progression having a set tolerance between any two consecutive numbers is known as a "arithmetic progression" (A.P.). Two alternative types of mathematical progression exist: finite-length mathematical series A series that has a limited number of terms is a finite geometric progression. One may calculate the early, late, tolerance, and number of terms in a series using the terms in the series.
given
1) n6 = 6 where a = 5 and d = 5 = 105
2)n6 =6 where a = 9 and d = 12 = 234
3) n5= 5 where a = 5.7 and d = 1.4 = 42.5
4) a = 20 and t₂₁ = 400 ,
= 380
Therefore, Sum of 21 terms = 4410
5) In series a = 0 and t₁₀₀ = 99 = 4950
The first 100 terms of a series add up to 4950, and the first 21 terms of a series where a = 20 and t21 = 400 add up to 4410
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Passes through
(-8, 3) and (8, -1).
Answer:
Slope = Y2 -Y1 / X2 - X1
Slope = -1 -3 / 8 --8
Slope = -4 / 16
Slope = -1 / 4
To calculate the equation we fill in this equation:
(y - y1) = slope • (x -x1)
We only need to choose 1 point so we'll choose (-8, 3)
(y - 3) = -1 / 4 * (x --8)
So the Equation equals
y = -1 / 4 x -2 + 3
y = -1 / 4x +1
Source:
http://www.1728.org/distance.htm
Step-by-step explanation: