Answer:
1) 3rd one down 1 7/12 ( the one you've selected well doneee)
2)pretty sure its also the 3rd one down ( don't come for me if its wrong)
Step-by-step explanation:
4 1/6 = 25/6
5 3/4= 23/4
25/6 x4= 100/24
23/4 x 6 = 138/24
138/24 - 100/24 = 38/24
divide by 2:
19/12= 1 7/12
HELP!
The faces of a fair 6-sided cube are numbered 1 through 6. Based on the theoretical probability, if a number cube is rolled 120 times, how many should times should a 3 be rolled?
Responses
40
15
3
20
Based οn the theοretical prοbability, we shοuld expect tο rοll a number 3 20 times οut οf 120 rοlls.
Theοretical prοbability:Theοretical prοbability is a type οf prοbability that is based οn mathematical reasοning and analysis. It is the prοbability οf an event οccurring based οn the assumptiοn that all οutcοmes are equally likely.
Fοr example, if yοu rοll a fair six-sided dice, each οutcοme (1, 2, 3, 4, 5, οr 6) is equally likely tο οccur.
Therefοre, the theοretical prοbability οf rοlling a 1 is 1/6, the theοretical prοbability οf rοlling a 2 is 1/6, and sο οn.
Here we have
The faces οf a fair 6-sided cube are numbered 1 thrοugh 6.
The cube is rοlled 120 times,
Since the cube is fair, each οf the six faces has an equal prοbability οf appearing οn any given rοll.
Hence, the theοretical prοbability οf rοlling a 3 οn a single rοll is 1/6.
Here we can use the fοrmula fοr expected value tο find the number οf times we shοuld expect tο rοll a 3:
Expected value = (number οf trials) x (prοbability οf success)
Expected value = 120 x (1/6) = 20
Therefοre,
Based οn the theοretical prοbability, we shοuld expect tο rοll a number 3 20 times οut οf 120 rοlls.
Learn more about theοretical prοbability
https://brainly.com/question/30604977
#SPJ1
The table compares the average daily temperature and ice cream sales each day.
Temperature (°F) Ice Cream Sales
58.2 $112
64.2 $135
64.3 $138
66.8 $146
68.4 $166
71.6 $180
72.7 $188
76.2 $199
77.8 $220
82.8 $280
What is the slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales? (Round your answer to one decimal place.)
4.2
6.5
8.1
9.1
Using a calculator, the line of best fit for the ice cream sales in the function of the daily temperature is given by:
y = 6.5x - 279.1.
To find the equation, we need to insert the points (x,y) in the calculator. The same is true for any regression equation such as quadratic or exponential. However, as the problem states, a line of best fit is calculated in this problem.
From the table presented in the problem, the points are given as follows:
(58.2, 112), (64.2, 135), (64.3, 138), (66.8, 146), (68.4, 166), (71.6, 180), (72.7, 188), (76.2, 199), (77.8, 220), (82.8, 280).
Inserting these points into the calculator, the line of best fit for the ice cream sales in the function of the daily temperature is given by:
y = 6.5x - 279.1.
Here
x is the daily temperature, in F.
y is the sales, in dollars.
The complete question is-
The table compares the average daily temperature and ice cream sales each day
Temperature ("F) Ice Cream Sales
$112
$135
$138
$146
$166
$180
$188
$199
$220
$280
58.2
642-
64.3
66.8
684
71.6
72.7
76.2
77.8
82.8
Using technology, determine the line of fit, where x represents the average daily temperature and y represents the total ice cream sales. Round values to the nearest tenth
09=38x-1092
09=-38xx-1092
Oý=65x-279.1
O ý= -65x-279.1
and also attached an image of the question.
learn more about a line of best fit is
brainly.com/question/22992800
#SPJ1
What is 4802 rounded to the nearest 1000
Answer:
4802 rounded to the nearest 1000 is 5000
Answer:
5,000
Step-by-step explanation:
We are rounding all of the elements in the equation, 2 rounds to 0, 0 rounds to 0, 8 rounds to 9, 9 rounds to 5,000.
Avery puts up a radio antenna tower in his
yard. Ella tells him that their city has a law
limiting towers to 50 ft in height. How can
Avery use the lengths of his shadow and the
shadow of the tower to show that his tower is
within the limit without directly measuring it.
Step-by-step explanation:
Using similar triangles:
6ft height is to 5 feet shadow as tower height is to 40 ft tower shadow
6/5 = h / 40 <====solve for 'h'
40 * 6/5 = h = tower height = 48 feet tower height
Find the probability of rolling a 6-sided dice and getting a number that is a divisor of 20.
Answer: The divisors of 20 are 1, 2, 4, 5, 10, and 20. Out of these, only the numbers 1, 2, 4, and 5 are possible outcomes when rolling a standard 6-sided dice.
The probability of rolling any of these four numbers is the total number of favorable outcomes (4) divided by the total number of possible outcomes (6), which gives:
Probability = Favorable outcomes / Total outcomes = 4/6 = 2/3
Therefore, the probability of rolling a 6-sided dice and getting a number that is a divisor of 20 is 2/3 or approximately 0.667.
Step-by-step explanation:
The probability of rolling a six-sided die and getting a result that divides by 20 is 2/6, or around one-third of the time.
There is a 1/3 chance that you will roll a number that divides by 20 when using a six-sided die. There are 6 possible outcomes when a 6-sided die is rolled, however only the numbers 4 and 5 may divide by 20. There are hence 2 positive events and a total of 6 occurrences that could take place. When the number of successful outcomes is divided by the total number of possible outcomes, the probability is 2/6, or 1/3
Because just one-third of results are likely to meet the criteria, the likelihood of rolling a number on a 6-sided die that is a divisor of Twenty is minimal.
Learn more about probability:
https://brainly.com/question/11234923
In a jar , there are 4 blue marbles, 3 green marbles, 7 red marbles and 2 white marbles. Find p(g)
The probability of selecting a green marble from a jar containing 4 blue marbles, 3 green marbles, 7 red marbles, and 2 white marbles is 0.1875 or 18.75%.
To find p(g), we need to first determine the total number of marbles in the jar, and then determine the number of green marbles in the jar.
Total number of marbles = 4 blue marbles + 3 green marbles + 7 red marbles + 2 white marbles = 16 marbles.
Number of green marbles = 3.
So p(g) = number of green marbles / total number of marbles = 3 / 16.
Therefore, p(g) = 0.1875 or 18.75%.
Therefore, Choosing a green marble from a container holding 4 blue marbles, 3 green marbles, 7 red marbles, and 2 white marbles has a probability of 0.1875 or 18.75%.
Learn more about probability here: brainly.com/question/30034780
#SPJ4
What is the length of the rectangular plot of land shown? Use pencil and paper. How are the lengths of the legs of a right triangle related to the lengths of the sides of a rectangle?
Length of rectangular plot is 144ft
Define rectangleA rectangle is a geometric shape that is characterized by having four straight sides and four right angles. It is a type of quadrilateral, which means that it has four sides. The opposite sides of a rectangle are parallel and of equal length, which makes it a type of parallelogram.
Given;
From the image attached below;
Diagonal length, AB=306 ft
Base length, BC=270ft
As triangluar plot is right angled triangle.
According to pythagoras' theorem
AB²=BC²+CA²
Putting the values, we get
Length side of rectangle, BC=√306²-270²
BC=√20736
BC=144ft
Hence, Length of rectangular plot is 144ft
The right angle is inscribed in rectangular plot. The base and height of right angle is one base and height of the rectangular plot. Hence, the lengths of the legs of a right triangle related to the lengths of the sides of a rectangle.
Image is attached below
to know more about angles, visit:
https://brainly.com/question/28451077
#SPJ1
A car's odometer measures distance to the nearest 0.1 miles. Which is the
most appropriate way to report the distance driven using the car's odometer?
The most appropriate way to report the distance driven using the car’s odometer is 181.7.
What is odometer?An odometer is an instrument used for measuring the distance traveled by a vehicle, such as a bicycle or car. The device may be electronic, mechanical, or a combination of the two.
According to the question
A car’s odometer measures distance to the nearest 0.1 miles.
i.e it measures only 1 digit after decimal
Therefore,
the most appropriate way to report the distance driven using the car’s odometer is 181.7 miles as it has only 1 digit after decimal.
Hence, the most appropriate way to report the distance driven using the car’s odometer is 181.7 .
To know more about odometer here:
brainly.com/question/13467781
#SPJ9
ell whether the angles are complementary or supplementary. Then find the value of x
Answer:
These angles are complementary and congruent, so x = 15.
Step-by-step explanation:
[tex]3x + 45 = 90[/tex]
[tex]3x = 45[/tex]
[tex]x = 15[/tex]
Mary is three years older than Ned and two years younger than Carla. Ten years ago, Carla’s age was equal to the sum of the ages of Ned and Mary. How old is each now?
Let x be Mary’s age
Let x-3 be Ned’s age
Let x+2 be Carla’s age
(x+2)-10=(x-10)+[(x-3)-10]
x+2-10=x-10+x-3-10
x-x-x=-10-3-10-2+10
-x=-15
x=15
Mary is 15, Ned is 12, and Carla is 17.
Tamara has a box of fruit. There are 2 strawberries for every 3 cherries in the box. If there are 12 cherries in the box, how many strawberries are there?
What is the probability of drawing a lettered card from a deck of shuffled 52 cards
The probability of drawing a lettered card from a deck of shuffled 52 cards is 50%.
Calcuating the probability of drawing a lettered cardThere are 52 cards in a deck, and 26 of them are lettered cards (A, K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2) while the other 26 cards are suited cards (clubs, spades, hearts, diamonds).
If the deck is well shuffled, each card is equally likely to be drawn.
Therefore, the probability of drawing a lettered card from a deck of shuffled 52 cards is simply the number of lettered cards divided by the total number of cards:
P(Drawing a lettered card) = Number of lettered cards / Total number of cards
= 26 / 52
= 1/2
= 0.5
Therefore, the probability of drawing a lettered card from a deck of shuffled 52 cards is 0.5 or 50%.
Read more about probability at
https://brainly.com/question/251701
#SPJ1
Find the inverse function in slope intercept form f(x)=-x+3
So, the inverse function of f(x) = -x + 3 is g(x) = 3 - x, and it is in slope-intercept form. The slope of g(x) is -1 and the y-intercept is 3.
What's inverse function?An inverse function is a function that reverses the operation of another function. More specifically, if f is a function that maps inputs from a set A to labors in a set B, also an inverse function g is a function that maps labors from B back to inputs in A, similar that for any input x in A, applying f and also g (or g and also f) results in the same value. In other words, if f(a) = b, also g(b) = a
by the question.
To find the inverse function of f(x) = -x + 3 in slope-intercept form, we need to solve for x in terms of y.
Start by replacing f(x) with y:
[tex]y=-x+3[/tex]
Now, isolate x on one side of the equation. To do this, we can add x to both sides:
[tex]y+x=3[/tex]
Finally, solve for x by subtracting y from both sides:
[tex]x=3-x[/tex]
So, the inverse function of f(x) = -x + 3 is given by:
[tex]f^{-1}(x)=3-x[/tex]
To learn more about equation:
https://brainly.com/question/10413253
#SPJ1
What is the value of the expression below when y=9?y^2+3y-4
Answer:
104
Step-by-step explanation:
9^2+3(9)-4 = 104
What is the radius of a hemisphere with a volume of 939 ft cubed?
Answer:
7.654 ft
Step-by-step explanation:
The volume of a hemisphere is [tex]V=\frac{2}{3}\pi r^3[/tex]. Rearranging this equation gives [tex]r=\sqrt[3]{\frac{3V}{2\pi} }[/tex]. Plug in V=939 to find the value of r.
HELPPPPPP PLEASEEEEEEEE ASAPPPPP
Q.
A metal block of dimensions 3x3x4 cm are to be cut from a metal cube 1x1x1 m. Calculate the complete number of blocks and volume and surface area of the remaining cube.
Answer: The volume of the metal cube 1x1x1 m is:
V_cube = l × w × h = 1 m × 1 m × 1 m = 1 m^3
The volume of the metal block that is to be cut from the cube is:
V_block = l × w × h = 3 cm × 3 cm × 4 cm = 36 cm^3
We need to convert the volume of the block to cubic meters, as the volume of the cube is given in cubic meters. We can use the conversion factor 1 m = 100 cm to convert cubic centimeters to cubic meters.
V_block = 36 cm^3 ÷ (100 cm/m)^3 = 0.000036 m^3
The number of blocks that can be cut from the cube is:
N_blocks = V_cube ÷ V_block = 1 m^3 ÷ 0.000036 m^3 = 27,777.78
Since we can only have a whole number of blocks, the maximum number of blocks that can be cut from the cube is 27,777.
The remaining volume of the cube after cutting the metal block is:
V_remain = V_cube - V_block × N_blocks = 1 m^3 - 0.000036 m^3 × 27,777 = 0.999 m^3
The surface area of the remaining cube can be calculated as follows:
S_remain = 6 × (l × w) = 6 × (h^2) = 6 × (0.999 m)^2 = 5.994 m^2
Therefore, the complete number of blocks that can be cut from the metal cube is 27,777. The volume of each block is 36 cm^3 or 0.000036 m^3. The remaining cube has a volume of 0.999 m^3 and a surface area of 5.994 m^2.
Step-by-step explanation:
a joint probability is the . a. sum of the probabilities of two events b. probability of the intersection of two events c. sum of the probabilities of two independent events d. probability of the union of two events
Option B. It defines the joint probability as the probability of the intersection of two events.
A joint probability refers to the probability of two or more events occurring simultaneously. In other words, it is the probability that two or more events will occur together.
The joint probability of two events A and B is denoted as P(A ∩ B), which represents the probability of the intersection of events A and B. This is the probability that both A and B occur at the same time.
For example, if we toss a coin and roll a dice, the probability of getting heads on the coin and a 4 on the dice would be the joint probability of these two events occurring together. This joint probability can be calculated by multiplying the probability of getting heads (1/2) and the probability of rolling a 4 (1/6), giving a joint probability of 1/12.
Therefore, option (b) is the correct answer, as it defines the joint probability as the probability of the intersection of two events.
To learn more about joint probability please click on below link.
https://brainly.com/question/27098956
#SPJ1
which pair of parent functions are inverses of each other on the domain x > 0?
A. linear and quardratic
B. cubic and linier C. cubic and square root
D. quadratic and square root
A Linear and Quadratic pair of parent functions are inverses of each other on the domain x > 0.
In mathematics, a parent function is a basic representation of a function type without manipulations such as translation and dilation. For linear and quadratic functions, the graph of any function can be obtained from the graph of the parent function by simply shifting and stretching parallel to the axes. Function is defined as the set of all input values have at least one output value.
According to the question,
a. A pair of linear functions :
let the function be y = x.
Domain : (-∞ , ∞) set of all real numbers
Range : (-∞ , ∞) set of all real numbers
Inverse of linear function is linear domain and range set of all real numbers.
Option A is the correct answer.
b. A cubic function and a cube root function :
Let y = x³
Domain: (-∞ , ∞) set of all real numbers
Range : (-∞ , ∞) set of all real numbers
Inverse function , x = ∛y ,
Domain: (-∞ , ∞) set of all real numbers
Range : (-∞ , ∞) set of all real numbers
Option B is not a correct answer.
c. a quadratic function and a square root function :
Domain of square root function: y = √x is [ 0, ∞)
Range of square root function: y = √x is [ 0, ∞)
Domain of quadratic function is (-∞ , ∞) set of all real numbers.
Range : all possible values of y.
Option C is not a correct answer.
D. A logarithmic function and an exponential function :
Domain : ( 0, ∞)
Range : set of all real numbers
Exponential function:
Domain : set of all real numbers
Range : ( 0, ∞)
Option D is not a correct answer.
Learn more about Domain:
https://brainly.com/question/28135761
#SPJ4
what is the f-1(x) ?
Answer:
(9x)/(2-2x)
Step-by-step explanation:
let f-1(x) = y
then, f(y) = x
so, (2y)/(9+2y) = x
***remember the thing inside the () in f(x) can change! y can go in x's place, any number or any other variable can go in x's place! BUT, nothing else can be changed in the function***
now just solve for y!
multiply both sides by (9+2y): 2y = 9x + 2xy
bring the y's together (subtract both sides): 2y-2xy =9x
hey! we can factor the left side (where the y's are): 2y(1-x) = 9x
get all the x's together (divide both sides) : 2y = (9x)/(1-x)
get y alone (divide both sides by 2): (9x)/(1-x) * (1/2)
*finally* distribute/simplify: (9x)/(2-2x)
you can double-check the answer on desmos!
~ lmk if u got Qs :>
Identify the slope and y-intercept of the following equation:
y = x - 2
Answer:
The given equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Comparing this with the given equation:
y = x - 2
We can see that the slope (m) is 1 and the y-intercept (b) is -2.
Therefore, the slope is 1 and the y-intercept is -2.joy has thin rods, one each of every integer length from through . she places the rods with lengths , , and on a table. she then wants to choose a fourth rod that she can put with these three to form a quadrilateral with positive area. how many of the remaining rods can she choose as the fourth rod?
Number of remaining rods can she choose as the fourth rod is 10
For the rods to form a quadrilateral with positive area, the fourth rod must satisfy the triangle inequality. That is, the sum of the lengths of any two sides of the quadrilateral must be greater than the length of the remaining side.
Let's start by looking at the rod with length 3 cm. The only other rod that can be paired with it to form a triangle is the rod with length 7 cm, since all the other rods are either shorter or longer than 4 cm. Similarly, the only other rod that can be paired with the rod with length 15 cm is the rod with length 7 cm.
Therefore, to form a quadrilateral with positive area, Joy must choose a rod that is longer than 7 cm but shorter than 18 cm (since the sum of 7 cm and 15 cm is 22 cm). There are 10 rods that satisfy this condition: 8 cm, 9 cm, 10 cm, 11 cm, 12 cm, 13 cm, 14 cm, 16 cm, 17 cm, and 18 cm.
So Joy can choose 10 rods as the fourth rod to form a quadrilateral with positive area.
Learn more about triangle inequality here
brainly.com/question/30298845
#SPJ4
The given question is incomplete, the complete question is:
Joy has 30 thin rods, one each of every integer length from 1 cm through 30 cm. She places the rods with lengths 3 cm, 7 cm, and 15 cm on a table. She then wants to choose a fourth rod that she can put with these three to form a quadrilateral with positive area. How many of the remaining rods can she choose as the fourth rod?
suppose you have a population of 500 butterflies. if the population experiences a net growth of 12% in the following year, how many butterflies do you have?
The net growth of of population of butterflies led to 560 butterflies.
We know that the population of butterflies is 500.
The population experiences a net growth of 12%.
The net growth can be defined as increase in number of individuals in a population .
So, the gain in the population of butterflies = 12% of 500= (12/100) × 500= 60 Butterflies
So, the new population of butterflies after the gain is 500 + 60 = 560 Butterflies.
This can be calculated by another method which is
112% of 500= (112/100)*500 = 560 butterflies
Hence, the required answer is 560 butterflies.
Learn more about finding percentages : https://brainly.com/question/24877689
#SPJ11
The size of the largest angle in a triangle is double the size of the smallest angle. the other angle is 20° greater than the smallest angle.
work out the size of each angle in the triangle
Answer:
40, 60 and 80.
Step-by-step explanation:
Let x = t he size of the smallest angle
x + 2x + x + 20 = 180 The sum of the interior angles of a triangle is 180
4x + 20 = 180 Subtract 20 from both sides
4x = 160 Divide both sides by 4
x = 40
The smallest angle is 40. The largest angle is 80. The other angle is 60. The total is 180
Helping in the name of Jesus.
Write the recursive formula for 5, 15, 30, 50...........
A recursive sequence is a sequence in which terms are defined using one or more previous terms that are given.
If you know the term n of an arithmetic sequence and you know the common difference, d, you can find the term [tex](n + 1)[/tex] by tossing the recursive formula to [tex]n + 1 = a \ n + d[/tex]
We have then:
[tex]5, 15, 30, 50[/tex]
[tex]an = (\dfrac{5}{2} ) \times (n) \times (n + 1)[/tex]
Answer:
the recursive formula for 5, 15, 30, 50, is:
an = (5/2) x (n) x (n + 1)
To many of you that have answered my questions on math problems and are wondering why I constantly ask them, it's because I have never had a strong point in math so I want to learn and get better at it step by step. So thank you to all of you that have been helping me through it!
In the picture below it asks this,
In A-frame picnic shelter at Lewis and Clark Historic park in Iowa is shown. What is the value of x?
So in a detailed form can anyone describe to me what the value of x is in this problem and how to find it? Thank you so much!
Step-by-step explanation:
It is a triangle.....all of the interior angles of ANY triangle su to 180 degrees.
soooo
x + 65 + 50 = 180
x = 180 - 65 - 50 = _________ degrees
a pencil costs as much as two erasers, and three erasers cost as much as 2 lollipops. which is more expensive, two pencils or three lollipops?
Three lollipops are more expensive than two pencils.
Given that three erasers cost as much as 2 lollipops.
Let e denote the cost of an eraser and l denote the cost of a lollipop.
A pencil costs as much as two erasers, which implies that the cost of a pencil is two times the cost of an eraser. Therefore, the cost of a pencil is 2e.
Likewise, three erasers cost as much as 2 lollipops, which implies that the cost of an eraser is (2/3) l.
Therefore, the cost of a pencil is 4/3 times the cost of a lollipop.
Thus, the cost of two pencils is 4/3 * 2l = 8/3 l.
The cost of three lollipops is 3l.
Now, we must determine whether 8/3 l is greater than 3l or vice versa.
8/3 l = 2.67 l
Since 2.67 l < 3 l, the conclusion is that three lollipops are more expensive than two pencils.
To learn more about calculating costs visit : https://brainly.com/question/25109150
#SPJ11
Porfavor ayuda se entrega a las 10
Answer:
a) x = 2
b) x = 10
c) x = 10/3
d) x = 11/2
e) x = 24
Step-by-step explanation:
a) x = 8-6
x=2
b) x=20/2
x=10
c) 3x = 9+1
3x=10
x=10/3
d) 2x=11
x=11/2
e) x = 6*4
x=24
Which shape is a parallelogram with 4 right angle? 50 points
Answer: Square
Step-by-step explanation:
A square has 4 parallel sides and has 4 90 degree angles
Find the length of the missing side. If necessary, round to the nearest tenth. 16 14 b
Pythagorean Theorem can be used to find the missing side that is equal to 21.3.
What is the distance formula?Distance formula states that the distance between two points is equal to the square root of the sum of the squares of the differences of the coordinates.
The missing side can be found by using the Pythagorean Theorem, which states that the square of the length of the hypotenuse (longest side of a right triangle) is equal to the sum of the squares of the lengths of the other two sides.
Therefore, the missing side is equal to the square root of the sum of the squares of the sides we already have:
b² = (16)² + (14)²
= 256 + 196
= 452
b = √452
= 21.3
We can also use the distance formula here.
The distance between (16, 14) and (0, 0) =
√(16² + 14²)
= √(256 + 196)
= √452
= 21.3.
This confirms that the missing side is equal to 21.3.
For more questions related to right triangle
https://brainly.com/question/2217700
#SPJ1
Question:
Find the length of the missing side. If necessary, round to the nearest tenth.
21.3
30
15
7.7
(it is a triangle and it has a right angle and you are looking for b and the numbers on the triangle are 16 [this is the longest side and slanted] and 14 [this is straight with no slant)