Answer:
34,860
Step-by-step explanation:
In a sample of 32 residence, 24 take Vitamin C. From here we can get the proportion of residents who take Vitamin C, which is 24/32 = 3/4 = 0.75
0.75 in percentage is 75%. This means 75% of the residents in sample take Vitamin C.
We can expect the same percentage of people in entire population to take Vitamin C.
Total population of city = 46480
Expected number of residents who take vitamin C in the city = 75% of 46480
= 0.75 x 46480
= 34860
This means, 34860 is an estimate of number of city residents who take Vitamin C supplement daily.
Based on the sample study and assuming its representativeness of the general population, it is estimated that approximately 34,860 residents of the city take a vitamin C supplement daily.
Explanation:In the sample study, the proportion of residents who take vitamin C supplements daily is calculated by dividing the number of individuals who reported taking the supplement (24) by the total number of individuals in the sample (32). This yields a proportion of 0.75, or 75%. Then, we can apply this proportion to the total population of the city to estimate the number of residents who take vitamin C daily. Therefore, the estimated number is 0.75 * 46,480 = 34,860.
In conclusion, assuming that the small sample is representative of the larger population, we would estimate that "approximately 34,860" city residents take a vitamin C supplement daily.
Learn more about Ratio and Proportion here:https://brainly.com/question/26974513
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While taking inventory at her bakery, Ruby noticed that she had 5⁄6 pound of cinnamon yesterday, but now had only 2⁄3 pound. How much more cinnamon did Ruby have yesterday?
Answer:
1/6 of a pound
Step-by-step explanation:
Multiply both the numerator and denominator for a common denominator.
2/3 * 2/2 = 4/6.
Then subtract to find out how much more she had yesterday.
5/6-4/6=1/6.
1/6 pound
Match the denominator
2/3 = 4/6
Subtract
5/6 - 4/6 = 1/6
Solve for X: |3x + 12| =18
Answer:
2
Step-by-step explanation:
3x+12=18
subtract 12
3x=6
divide by 3
x=2
Answer:
x = 2, -10
Step-by-step explanation:
3x + 12 = 18
-3x - 12 = 18
3x = 6
-3x = 30
x = 2
x = -10
The graph of f(x) is shown. What is the value of f (x) when x= -2?
Please explain this question to me because i really dont understand it and id like to learn.
What is the slope of the line show below?
Algebra form: y1 - y2, and x1 - x2.
( 2 - 1 ) ( 6 - 3 ).
= 1/3.
slope = 1/3.
x+2y=6 how do I solve this ?
Answer:
The answer is 4y
Step-by-step explanation:
This is because when you have a variable and 2 numbers you work backwards to find the number of the x so you do the opposite of adding you subtract, 2 - 6 remember you are working backwards but now you have the answer 4 but there is a variable next to the two so you so you add that to the four.
may somebody help me please and thank you.
Answer:
C. Both (1,11) and (-1,-5)
Step-by-step explanation:
Plug in the x and y coordinates into the equation and see if the values hold true.
Test (1,11):
11=8(1)+3
11=8+3
11=11
TRUE
Test (-1,-5):
-5=8(-1)+3
-5=(-8)+3
-5=-5
TRUE
can someone explain please
Answer:
[tex]\large\boxed{B.\ \dfrac{7}{4}}[/tex]
Step-by-step explanation:
[tex]\dfrac{\Delta y}{\Delta x}=\dfrac{14}{8}=\dfrac{14:2}{8:2}=\dfrac{7}{4}[/tex]
Which of the following equations represents a line that is parallel
Answer:
B
Step-by-step explanation:
A parallel line means equal m values, so the slope of the equation has to be 3.
Then, we can plug in the (1,6) to each of the equations with 3 as a slope and see if they are equal to each other.
B. 6 = 3 + 3
B. 6 = 6
So B is the correct equation.
Evaluate b^2 c^-1 for b = -4 and c = 2.
Answer:
8
Step-by-step explanation:
b^2 c^-1
Let b=-4 and c =2
(-4)^2 * (2)^-1
The negative exponent means it is in the denominator
(-4)^2 / (2)^1
16/2
8
how do you locate fraction 4/1 on a number line
Answer:
Move 4 units to the right-hand side of the origin point, 0.
Step-by-step explanation:
A number line in mathematics is a straight line marked with numbers to the left(negative numbers) and to the right (positive numbers), at equal intervals along the line.The origin of the number line is 0. 4/1 is similar to positive 4 which is located 4 units to the right-handside of 0.
To locate the fraction 4/1 on a number line, you need to divide the number line into 1 part and find the 4th part.
Explanation:To locate the fraction 4/1 on a number line, you need to understand that fractions represent a part of a whole. In this case, the fraction 4/1 means that you are dividing the number line into 1 part and looking for the position of the 4th part. Here's how you can do it:
Draw a number line with appropriate markings, such as whole numbers.Divide the number line into equal parts based on the denominator of the fraction. In this case, since the denominator is 1, you don't need to divide further, as every part is the same size.Locate the numerator on the number line. In this case, 4 is equivalent to four parts of the whole number line.Mark the location of 4 on the number line.PLEASE HELP 15 POINTS 63m - 42 =
Answer:
9m - 6
Step-by-step explanation:
I don't know if you want it to be factored or simplified, but the greatest common factor is 7 so you can use that that so simplify the equation. Or you can substitute values for x.
HELP PLSSSS ASAP!!!
The tenth in 149.95 is 9. To round it to the nearest tenth, use the hundredth. The hundredth is 5. When rounding, always round up when it is a 5. 95 should be rounded to 100, but it is a decimal. 100 as a decimal is equal to 1. 149 + 1 = 150.
Answer:
149.95 becomes 150 when rounded to the nearest tenth because 149.95 is only .5 away from 150. If it was something like 149.4 it would be rounded to 149.
Many has 40 ounce of butter that he is cutting into 1.25 ounces . How many slices will he have?
He would have 32 slices of butter.
The student will have 32 slices of butter if they cut 40 ounces into 1.25-ounce pieces by dividing the total amount by the size of each slice.
The student wants to know how many slices of butter they can get from 40 ounces if they are cutting it into 1.25 ounces each. To find out, they need to divide the total amount of butter by the size of each piece.
First, take the total amount of butter, which is 40 ounces.
Divide 40 ounces by the size of each slice, which is 1.25 ounces.
Calculate the division: 40 / 1.25 = 32 slices.
Therefore, the student will have 32 slices of butter if they cut 40 ounces into 1.25-ounce pieces.
each squuare on the grid paper is 1 square in find the area of the figure
Answer:
Count up however many squares are in the grip paper, and if it's not all the way full call it 1/2. Then add your half squares together, then add your whole squares to your half squares
Step-by-step explanation:
a farmer grew x pounds of rice last year. This year, she grew 8% more rice than she grew last year. which expression represent the number of pounds of rice that the farmer grew this year?
Answer:108%*x
Step-by-step explanation: 100%+8%=108% so it is 108%*x
Final answer:
The expression representing the amount of rice the farmer grew this year is 1.08x, which includes the initial amount plus an additional 8% increase.
Explanation:
If a farmer grew x pounds of rice last year, and this year she grew 8% more rice than she grew last year, the number of pounds of rice she grew this year can be represented by an algebraic expression. To calculate an increase of 8%, we multiply the original amount (x) by 8% (or 0.08) and then add it to the original amount. The expression representing the total weight of rice grown this year is:
x + 0.08x
Or, combining like terms to simplify:
1.08x
This expression takes into account the original production and adds the additional 8% increase in rice production for this year.
Write the following as algebraic expressions:
On each of n plates there are k apples and m pears. What is the total number of fruit are there on these plates?
PLEASE HELP!
50 points!
What property is illustrated in the equation? 7 + 1/2 = 1/2 + 7
Communicative
Hope this helps!
A bag contains 6 red balls, 4 green balls, and 3 blue balls. If we choose a ball, then another ball without putting the first one back in the bag, what is the probability that the first ball will be green and the second will be red?
Answer:
2/13
Step-by-step explanation:
There are 6 + 4 + 3 = 13 balls all together.
If the first one is green, this will happen with a probability of 4/13. Now there are 12 balls left
There are 6 red balls. 6/12 = 1/2
The probability of the way this happens is 1/2 * 4/13 = 2/13
What are the factors of x2 − 25?
(x − 5)(x − 5)
(x + 5)(x − 5)
(x − 1)(x + 25)
Prime
Answer:
)x + 5)(x - 5)
Step-by-step explanation:
x² - 25 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
x² - 25 = x² - 5² = (x + 5)(x - 5)
Find the geometric mean of 12 and 27. Write
Answer:
The geometric mean is 18
Step-by-step explanation:
To find the geometric mean of two numbers, start by multiplying them together.
12 * 27 = 324
Now take the square root of that number
√324 = 18
If AD equals 3X +3 CD equals X +9, what is the value of X?
Answer:
x=3
Step-by-step explanation:
2x+3=9
2x=6
x=3
I REALLY NEED HELP!! PLEASE DO IT FAST!!
8,000÷(28x+4)−15=25
Answer:
x = 7
Step-by-step explanation:
Order of operations rules require that we do multiplication and division BEFORE addition and subtraction.
Let's start by simplifying the expression. Adding 15 to both sides results in:
8,000÷(28x+4) = 40.
Multiplying both sides by (28x + 4) results in the simpler:
8000 = 40(28x + 4).
Dividing both sides by 40 results in:
200 = 28x + 4, or
196 = 28x
Solve for x by dividing both sides by 28:
x = 7
What is the vertex of the quadratic function with a negative a value?
A) (2, 3)
B) (3, 2)
C) (-4, -4)
D) (-1, -0.5)
Answer:
C) (-4, -4)Step-by-step explanation:
If y = ax² + bx + c has negative value of a, then a parabola is open down.
Look at the picture.
Vertex = (-4, -4)
Answer:
C) (-4, -4)
Step-by-step explanation:
The average number of accidents is 3 per month, what is the probability of 1 accident?
The answer is: 33.33%
Why?Since we have the average number of accidents that occurs in 1 month, and it's equal to 3, we can calculate the probability of 1 accident occurs by dividing it into the average number of accidents, using the following formula:
[tex]Probability=\frac{FavorableOutcomes}{Outcomes}*100[/tex]
Where,
Favorable outcomes are the occurrence of the event, for this case, it's equal to 1.
Outcomes are the possible occurrence of the event, for this case, it's equal to 3.
So, by substituting we have:
[tex]Probability=\frac{1}{3}*100[/tex]
[tex]Probability=0.3333*100=33.33[/tex]
So, the probability will be equal to 33.33%
Have a nice day!
Find the value of x. The diagram is not to scale.
Answer:
x = 33
Step-by-step explanation:
There are 180 degrees in a triangle.
There are also 180 degrees in a straight line.
180 - 105 = 75.
Thus, 75+72+x=180.
x=33
Answer:
x=33
Step-by-step explanation:
Step one :
From the screen shot
The sum of angles on a straight line is 180° hence 180°-105°=75°
The unknown angle is 75°
Step two :
To find the angle x° the sum of angles in a triangle is 180°
Therefore
x°+72°+75°=180°
x+147=180
x=180-147
x=33°
A population of 550 rabbits is increasing by 7.5% each year. In about how many years will the population be over 1000?
A.) 9 years
B.) 5 years
C.)7 years
D.)15 years
Answer:
D.) 15 years
Step-by-step explanation:
7.5% of 550 rabbits would be 41.25
if you are increasing till you get over 1,000
it would take 10.9 almost 11 years to get to 1,000
meaning it would be 15 years when your over 1,000 giving you 1,168.75
Help me please :) I don’t wanna fail
Answer:
12
there are 6 combinations with sausage and 6 with red sauce and its asking how much outcomes include sausage so you add the two together and get 12
What is the distance between -13 and 13 on a number line
Answer:
26 units
Step-by-step explanation:
Due to:
in the rect line, left to zero = 13 (absolute value)
in the rect line, right to zero = 13 (absolute value)
So the sum of each absolute value is the distance.
Best regards
Which statement above is true about the value of x
➷ Angles in a triangle equal 180 degrees
180 - (38 + 39) = 103
Angles on a straight line equal 180 degrees
180 - 103 = 77
The correct statement would be the first one as x is greater than 38
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
39 POINTS!! I NEED HELP ASAP!!!!!!! 2 QUESTIONS!!!!!
1) the area of a rectangle is 8w + 18. Use your width expression to find the width of the rectangle when w = 1.25 feet. Show your work.
2) The sixth grade band students are selling magazines to raise money for new instruments. As a reward for selling, the students earn points to spend on prizes. Each student gets 25 points to start with, and then they earn an additional 5 points for each magazine they sell. If m represents the number of magazines a student sells, write an expression to represent the total number of points the student has. Determine how many points a student has if they sell 6 magazines. Show your work.
Note: the width expression is just the way how you yourself does it, no specific way is required))
Thank you.
Answer: 1) [tex]A = 28ft^{2}[/tex]
2) 55 points
Step-by-step explanation:
1) A= 8w + 18, w=1.25
A = 8(1.25) + 18
A = 10 + 18
A = 28ft^2
2) 25 points to start with, additional 5 points per magazine they sell, m = number of magazines they sell
total points = 25 + 5m
How many if they sell 6?
total = 25 + 5(6)
= 25 + 30
total = 55