To estimate the number of units in the entire apartment complex that have 3 rats, we can use the proportion of units in the sample that have 3 rats and apply it to the total number of units in the complex.
Explanation:To determine how many units in the entire apartment complex have 3 rats, we can use the concept of sampling. Since the apartment caretaker checked 9 units and recorded the number of rats in each, we can calculate the proportion of units with 3 rats in these 9 units. We can then apply this proportion to the entire apartment complex to estimate the number of units with 3 rats.
Out of the 9 units checked, there were 3 units with 3 rats. So the proportion of units with 3 rats in the sample is 3/9 = 1/3.
To estimate the number of units with 3 rats in the entire apartment complex, we can multiply the proportion of units with 3 rats in the sample (1/3) by the total number of units in the complex: 1/3 * 150 = 50. So, approximately 50 units in the entire apartment complex have 3 rats.
A spherical fish bowl is half-filled with water. The center of the bowl is C, and the length of segment AB is 20 inches, as shown below. Use for pi. Which of the following can be used to calculate the volume of water inside the fish bowl?
The floor of a rectangular room will be tiled with square tiles that measure 3 inches on each side. The room is 109 inches long and 103 inches wide. How many tiles, including parts of tiles, are needed to complete the job?
109 *103 = 11227 square inches
tile = 3^2 = 9 square inches
11227/9 = 1247.44 tiles are needed.
you can't buy a partial tile so you would need 1248 tiles
Answer:
We need 1248 tiles to complete the job.
Step-by-step explanation:
First we have to get the area of the room and the area of each tile
Area = long x wide
Room Area = 109 x 103 = 11227 square inches
Tile area = 3 x 3 = 9 square inches
To get how many tiles we need, we must divide the room area by the tile area
Q=11227/9= 1247,44 ≅1248
HELP
2 (3x-7)=-4x-6+9x-8
Which shows the expressions in the order they would appear on a number line from least to greatest?
2 to the power of 3, square root of 5, square root of 20, square root of 11 11 over 9
2 to the power of 3, square root of 11, 11 over 9, square root of 20, square root of 11
11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3
11 over 9, 2 to the power of 3, square root of 5, square root of 20, square root of 11
The expressions in the order they would appear on a number line from least to greatest is 11/9, √5, √11, √20, 2³
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given are the statements expressing expressions,
2³ = 8
11/9 = 1.22
sqrt 5 = 2.24
sqrt 20 = 4.47
sqrt 11 = 3.32
Hence, the expressions in the order they would appear on a number line from least to greatest is 11/9, √5, √11, √20, 2³
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Dan received a $45.25gift card for a photo center. He used it to buy prints that cost 25 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following function.
B (x) = 45.25- 0.25x
What is the remaining balance on the card if Dan bought 50 prints?
The remaining balance on the card after buying 50 prints is $32.75.
Explanation:To find the remaining balance, B(x), on the gift card after buying x prints, we can substitute the value of x into the given function B(x) = 45.25 - 0.25x. In this case, x = 50.
Substituting x = 50 into the function, we have B(50) = 45.25 - 0.25(50) = 45.25 - 12.50 = 32.75.
Therefore, the remaining balance on the card after buying 50 prints is $32.75.
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How does changing the function from f(x) = −4 cos 3x to g(x) = −4 cos 3x − 6 affect the range of the function?
The function shifts down 4 units, so the range changes from −4 to 4 in f(x) to −8 to 0 in g(x).
The function shifts down 4 units, so the range changes from −1 to 1 in f(x) to −5 to −3 in g(x).
The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).
The function shifts down 6 units, so the range changes from −1 to 1 in f(x) to −7 to −5 in g(x).
Answer:
The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).
Step-by-step explanation:
Given : f(x) = −4 cos 3x and g(x) = −4 cos 3x − 6.
To find : How does changing the function affect the range of the function?
Solution : We have given that
Function change from f(x) = −4 cos 3x to g(x) = −4 cos 3x − 6.
By the transformation rule : f(x) →→→f(x) -k it mean function shifted down k unit .
Then Function would shift down 6 unit .
For f(x) = −4 cos 3x
Range: [ -4,4]
For g(x) = −4 cos 3x − 6.
Range : [-10 ,-2]
Therefore, The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).
Each pack of hot dogs contains 10 hot dogs (no buns), but each pack of hot dog buns contains 8 buns. Phil buys a number of these packs for a barbecue. After the barbecue, Phil finds that he has 4 hot dogs left over. What is the SECOND smallest number of packs of hot dogs he could have bought?
The second smallest number of packs of hot dogs that Phil could have bought is three. This gives him 30 hot dogs, and after eating some, he would be left with 4. The number 30 ends with a 0 and when 4 is subtracted from it, it does result in a number ending in 4 (26 in this case).
Explanation:To solve this problem, we need to understand that Phil must have bought a number of hot dog packs where the total number of hot dogs (10 per pack) ends with a 4. This is because after eating some, he had 4 hot dogs leftover. If he bought 1 pack of hot dogs, he'd have 10. This does not work because it doesn't end with 4. However, if Phil bought 2 packs, this would give him 20 hot dogs, which does end with 0.
We need to continue on this pattern, using multiples of 10, until we find the second smallest number that, when 4 is subtracted from it, leaves a number ending in 4. That number is 30, which gives 30 hot dogs. After eating some, he would be left over with 4 dogs, hence he has eaten 26 dogs (30-4=26). This means, the second smallest number of hot dog packs Phil could have bought is three.
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A large ice floe is floating at a speed of 3 kilometers per hour. A polar bear leaves the floe and swims in the opposite direction at 9 kilometers per hour. How long will it be before the polar bear is 4 kilometers away from the floe?
How do I do this??? My teacher never teaches me!!
The polar bear and the ice floe have a relative speed of 12 kilometers per hour. Given they're moving in opposite directions and the polar bear should end up 4 kilometers away, it would take approximately 0.33 hours or 20 minutes for the bear to reach this distance.
Explanation:The subject of this problem is relative speed. When two objects are moving in the opposite direction, their relative speed is the sum of their individual speeds. In this case, the ice floe is moving at 3 kilometers per hour and the polar bear is swimming at 9 kilometers per hour. So, their relative speed is 3 + 9 = 12 kilometers per hour.
The distance between the polar bear and the floe is 4 kilometers. To find out how long it will be before the polar bear is 4 kilometers away from the floe, you would divide the total distance by the relative speed. Therefore, the time would be 4 kilometers divided by 12 kilometers per hour equals 0.33 hours, or approximately 20 minutes.
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Which table shows a proportional relationship between miles traveled and gas used?
Answer:
last fourth table given in the figure shows the proportional relationship .
Step-by-step explanation:
Definition of proportional relationship
The relationship in which two quantities are varies proportional to each other .
[tex]a = kb[/tex]
Where k is called the proportional constant .
Let us assume that the number of miles travelled be y .
let us assume that the gas used be x .
[tex]y\propto x[/tex]
y = ca
Where c is the proportional constant .
In first table
Miles travelled = 27.3 mi
Gas used =1.5 gal
Putting in the formula
y = ca
27.3 = 1.5c
[tex]\frac{27.3}{1.5}=c[/tex]
c = 18.2
Miles travelled = 49.16 mi
Gas used = 3.8 gal
Putting in the formula
y = ca
49.16 = 3.8c
[tex]\frac{49.16}{3.8}=c[/tex]
c = 12.94 (Approx)
Thus the miles travelled is not vary with the gas used .
Therefore table not shows the proportional relationship .
Second Part
Miles travelled = 135 mi
Gas used = 7.4 gal
Putting in the formula
y = ca
135 = 7.4c
[tex]\frac{135}{7.4}=c[/tex]
c = 18.2
Miles travelled = 135.5 mi
Gas used = 7.9 gal
Putting in the formula
y = ca
135.5 = 7.9c
[tex]\frac{135.5}{7.9}=c[/tex]
c = 17.2 (Approx)
Thus the miles travelled is not vary with the gas used .
Therefore table not shows the proportional relationship .
Third table
Miles travelled = 120 mi
Gas used = 6.2 gal
Putting in the formula
y = ca
120 = 6.2c
[tex]\frac{120}{6.2}=c[/tex]
c = 19.4 (Approx)
Miles travelled = 180 mi
Gas used = 12.2 gal
Putting in the formula
y = ca
180 = 12.2c
[tex]\frac{180}{12.2}=c[/tex]
c = 14.8 (Approx)
Thus the miles travelled is not vary with the gas used .
Therefore table not shows the proportional relationship .
Fourth table
Miles travelled = 270 mi
Gas used = 15gal
Putting in the formula
y = ca
270 = 15c
[tex]\frac{270}{15}=c[/tex]
c = 18
Miles travelled = 135 mi
Gas used = 7.5 gal
Putting in the formula
y = ca
135= 7.5c
[tex]\frac{135}{7.5}=c[/tex]
c = 18
Thus the miles travelled is vary with the gas used .
Therefore table shows the proportional relationship .
The last fourth table given in the figure shows the proportional relationship .
With 128, 134, 140, 146, 152, what's the next number if the pattern continues?
A company designs a logo using a kite figure around the letter t.
The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo ?
Answer:
it is indeed B.96
Step-by-step explanation:
Ken ordered 4/5 of a ton of sand. He wants to recieve 1/3 now and 2/3 later. What fraction of a ton of sand should he recieve now?
Kenji wants to divide 48.6 by 0.15. What is the first step that Kenji must complete?
Multiply the divisor and dividend by 10.
Multiply the divisor and dividend by 100.
Divide the divisor and dividend by 100.
Divide the divisor and dividend by 10.
The first step that Kenji must complete is option (B) multiply the divisor and dividend by 100 is the correct answer.
What is a division?A division is a process of splitting a specific amount into equal parts. The number to be divided by another number is called the dividend. The number by which we divide another number (dividend) into equal parts is called the divisor.
For the given situation,
Kenji wants to divide 48.6 by 0.15.
[tex]\frac{48.6}{0.15}[/tex]
Step 1:
To perform division, the first step is to make the divisor and dividend without decimals.
So multiply the divisor and dividend by 100.
⇒ [tex]\frac{48.6}{0.15}=\frac{48.6(100)}{0.15(100)}[/tex]
⇒ [tex]\frac{4860}{15}[/tex]
Hence we can conclude that the first step that Kenji must complete is option (B) multiply the divisor and dividend by 100 is the correct answer.
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Find the volume of the cylinder to the nearest tenth use 3.14
the answer is 3.14 r^2 h
the h is the height
complete the point slope equation of line through (1,-1) and (5,2) use exact numbers
y-(-1)=
The point - slope equation of line passing through points (1, -1) and (5, 2) is (y + 1) = (3/4)(x - 1).
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c[m] → is slope of line.[c] → is the y - intercept.Other possible equations of lines are -
Point - slope form → (y - y₁) = m(x - x₁) Two point - slope form → (y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) Intercept form → x/a + y/b = 1 Normal form → x cos(β) + y sin(β) = LGiven is a line passing through points (1, -1) and (5, 2).
The point slope form of the line is -
(y - y₁) = m(x - x₁)
y - (- 1) = {(2 + 1)/(5 - 1)}(x - 1)
y + 1 = (3/4)(x - 1)
Therefore, the point - slope equation of line passing through points (1, -1) and (5, 2) is -
(y + 1) = (3/4)(x - 1)
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Does the equation represent a direct variation? If so, find the constant of variation. 2x - 4y = 0
What number should the fraction 15/3 be multiplied by in order to equal one ?
Crystal rollerbladed 150 feet in 15 seconds, while Gavin rollerbladed 150 feet in 10 seconds. Without doing any calculations, who was faster? Why?
Ur answer is d have a nice day
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and an additional \$12$12dollar sign, 12 for each album that he sells. Last month he earned a total of \$644$644dollar sign, 644.
Write an equation to determine the number of albums (a)(a)left parenthesis, a, right parenthesis Floyd sold last month.
Find the number of albums Floyd sold last month.
albums
Equation: [tex]a=\frac{644-200}{12}[/tex]
Albums: [tex]37[/tex]
Also, the verified tutor above me, is also correct, I just feel like my explanations and answers are much for informational and simplier than his
Explanation:First lets find out how many albums Floyd sold in a month to find out the amount of albums and how we solved it.
Let's take the [tex]\\644\[/tex] and subtract [tex]200\[/tex] from it, because he didn't make any albums or anything to get
Now that we have the amount of money that he gets from albums, we can divide this amount of money by [tex]12\[/tex] because that's the amount of money he gets from [tex]1[/tex] album. [tex]\frac{444}{12}=37[/tex]
Now we know how many albums he sells for a total of [tex]444\[/tex] plus the [tex]200\[/tex] he gets on a monthly rate.
Thank you for sticking with me on trying to learn how you got these answers instead of just staright-up cheating!The equation that determines the number of albums sold is:
200 + 12a = 644
The number of albums Floyd sold last month is 37
Word Problems on linear equations
Monthly base rate = $200
Pay on each album = $12
Number of albums = a
Total money earned = $644
The equation that determines the number of albums sold is:
200 + 12a = 644
Solve the equation above to get the number of albums sold
12a = 644 - 200
12a = 444
a = 444/12
a = 37
The number of albums Floyd sold last month is 37
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divide
27,092÷45=
a.646 r22
b.624 r12
c.620 r2
d.602 r2
Clark has 7 1/2 feet of wire. Part a: how many 3/4 foot pieces can clark cut from the 7 1/2 feet of wire? Part B: using the information in part a, interpret the meaning of the quoitient in terms of the two fractions given
Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.
Maric mailed 9 letters at the post office . each letter weighed 3.5 ounces. What was the total weightof the letters?
You decide to start saving up to buy your first home. You find an account that pays 8% interest compounded monthly. If you plan on purchasing your home in ten years, how much must you put into the account to have $50,000 for a down payment?
7y + 6 - 1 + 12y equals what
Find the midpoint of diagonal BD. Figure ABCD is shown. A is at negative 3, 2. B is at 0, 6. C is at 6, 6. D is at 3, 2.
Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.
Over the course of a year, a classroom went from 15
students to 19
students.
Use the drop-down menus to build an equation that could be used to find the percent change, p
, in the number of students.
19-15 =4
4/15 = 0.266
0.266*100 = 26.6%
so 19-15/15
Answer:
p = [tex](\frac{19-15}{15} )\times 100[/tex]
Step-by-step explanation:
Over the course of a year classroom went from 15 to 19 students.
So students added = 19 - 15 = 4
Now percentage of this addition will be p = [tex](\frac{\text{students added}}{\text{total students before addition}})\times 100[/tex]
p = [tex](\frac{19-15}{15} )\times 100[/tex]
kasabihan sa bibliya
Replace ? with a whole number to make the statements true. a. 20 ÷ 4 ? means ? × 4 = 20 b. 2,725 ÷ 5 ? means ? × 5 = 2,725 c. ? ÷ 5 = 0 ABC Preschool spent $1,475 on diapers this year. If the diapers cost $25 per box, how many boxes did they use? Grace, a hairdresser, charges $18 for a haircut and $70 for a perm. She did 36 perms this month. The total amount of money Grace took in was $4,608. How many haircuts did Grace do this month? Mr. and Mrs. Wilson hosted their daughter’s wedding. They paid $575 to rent a banquet hall and $13 per person for a catered dinner. In all, there were 118 people at the wedding. How much did the Wilsons pay for the hall and the food? Use inverse operations to check your answer. Carmel can drive 320 miles on one tank of gas, and one tankful costs $39. How many tanks of gas will she need to drive 2,240 miles, and how much will it cost? Use inverse operations to check your answer.