By finding all the probabilities we will see that the event that is least likely to occur is the one in option D.
Which event is least likely to occur?Let's find the probability for each event.
A) The probability is computed as the quotient between the outcomes that meet the conditions for the event and the total number of outcomes.
Here the outcomes are {1, 2, 3, 4, 5, 6, 7, 8}
The outcomes that meet the condition (less than or equal to 6) are:
{1, 2, 3, 4, 5, 6}
So 6 outcomes out of 8 meet the condition, the probability here is:
a = 6/8 = 3/4 = 0.75
B) The probability here is 1, as all the outcomes meet the condition of "landing in some color"
C) If there are 100 tickets in total and you have 29, then the probability of winning is:
b = 29/100 = 0.29
D) There are 10 strawberry chews and 50 cherry chows, so the total number of candy is 50 + 10 = 60, and 10 of these are strawberry chews, then the probability of taking one of these is:
d = 10/60 =0.167
So the smaller probability is the one for event D, that is the correct option.
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Convert the decimal 3.88888… to a fraction.
Question 10 options:
A)
38∕9
B)
39∕8
C)
8∕9
D)
38∕99
The fraction of 3.88888 will be [tex]3\frac{11111}{12500}[/tex]
What is Fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts.
In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator
How to solve this problem?
The steps are as follow:
Step 1: Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number).
Step 2: Remove the decimal places by multiplication. First, count how many places are to the right of the decimal. Next, given that you have x decimal places, multiply numerator and denominator by 10x.
Step 3: Reduce the fraction. Find the Greatest Common Factor (GCF) of the numerator and denominator and divide both numerator and denominator by the GCF
Step 4: Simplify the remaining fraction to a mixed number fraction if possible.
So the 3.88888 can be written as in fraction as following:
3.88888 = 388888/100000
dividing both num. and denominator ny 8
=(388888/8)/(100000/8)
=[tex]3\frac{11111}{12500}[/tex]
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Let's x be equal to 3.88888...
Multiplying both sides of the equation by 10, we get 10x = 38.88888...
Subtracting the left sides of these equations, we get:
10x - x = 38.88888... - 3.88888...
9x = 35
Dividing both sides of this equation by 9, we get:
x = 35/9
Therefore, the decimal 3.88888... is equal to the fraction 35/9. Answer: A) 38/9 (reduced form of 35/9).
Hampton Photography Studio is taking graduation portraits for students at local schools.
Eighth graders from Hampton Elementary School ordered 82 basic portrait packages and 73
deluxe portrait packages, for a total of $11,591. The seniors at Greenpoint High ordered 85
basic portrait packages and 70 deluxe portrait packages, for a total of $11,465. How much
does each type of package cost? Solve using elimination!!
The cost of the basic portrait package = $55
The cost of the deluxe portrait package = $97
What is a system of equations?
Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
Here, we let
x = the cost of the basic portrait package
y = the cost of the deluxe portrait package
Eighth graders from Dover Elementary School ordered 82 basic portrait packages and 73 deluxe portrait packages, for a total of $11,591:
82x + 73y = 11591
The seniors at Clarksville High ordered 85 basic portrait packages and 70 deluxe portrait packages, for a total of $11,465:
85x + 70y = 11465
by solving the system of equations:
82x + 73y = 11591
85x + 70y = 11465
We get
x = $55
y = $97
Hence, the cost of the basic portrait package = $55
the cost of the deluxe portrait package = $97
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The inverse of function f(x)=10^x
The inverse function is [tex]f^-^1(x) = \frac{Inx}{In10}[/tex] and Domain (0, infinity) and Range is (-infinity , infinity).
Given,
In the question:
The inverse function f(x) = [tex]10^x[/tex]
To find the inverse function:
Now, According to the question;
f(x) = [tex]10^x[/tex]
Rewrite the function using y
y = [tex]10^x[/tex]
Interchange the position of x and y in the function
x = [tex]10^y[/tex]
Isolate the dependent variable
y = [tex]\frac{Inx}{In10}[/tex]
Find the inverse function
[tex]f^-^1(x) = \frac{Inx}{In10}[/tex]
Hence, The inverse function is [tex]f^-^1(x) = \frac{Inx}{In10}[/tex] and Domain (0, infinity) and Range is (-infinity , infinity).
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Need help Turing this into an equation
The linear equation in general form to represent the given statement will be 5A + 3B = 553600.
How to form general equation?
The formula ax+by+c=0 is one of the numerous formats in which linear functions can be expressed. The slope intercept form y=mx+b and slope-point form are two more examples. The linear function can be transformed into various forms.Jose invested money in fund A at interest = 6%
Interest = (A * 5 * 1) / 100
Interest on fund A = A/20
Jose invested money in fund B at interest = 5%
Interest = (B * 6 * 1) / 100
Interest = 3B/100
Total interest he get = $5536
Interest on fund A + Interest on fund B = 5536
A/20 + 3B/100 = 5536
(5A + 3B)/100 = 5536
5A + 3B = 553600
Therefore, the linear equation in general form to represent the given statement will be 5A + 3B = 553600.
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Alyssa buys a package of balloons for a party. She has 22 red balloons, 18 blue balloons, and 24 green balloons. What
is the ratio of green balloons to the total number of balloons?
11 to 32
3 to 5
3 to 8
1 to 3
The ratio of green balloons to the total number of balloons is 3 to 8.
What is Ratio?
By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part-to-part ratio, whereas the second is a part-to-whole ratio.
Given, the number of red balloons = 22
the number of blue balloons = 18
the number of green balloons = 24
Total number of balloons = 22 + 18 + 24 = 64
Now,
the ratio of green balloons to the total number of balloons =
= (the number of green balloons)/(Total number of balloons)
= 24/64
= 3/8
= 3:8
Hence, the required ratio is 3 to 8.
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EXTRA POINTS
If the Green family deposits $2,500 in a savings account that earns
2.75% interest compounded continuously, approximately how long until
the Green family will have doubled their initial investment?
Use: y= perE
-25 vears
-16 years
-19 years
-22 years
The green family will double their investment in 34 years after the principal is subject to compound interest continuously.
The principal invested = $2500
Rate of interest annually = 2.75%
Time = t years
Amount = double of principal = 2500 × 2 = $ 5000
Interest is compounded continuously
Formula to calculate the amount is given by:
[tex]A=Pe^{rt}[/tex]
Now we will use the values to find the exact value of t
or, [tex]5000 = 2500 e^{0.0275t}[/tex]
or, ln 2 = 0.0275t
or, t = 25.205 years
or, t ≈ 25 years
Compound interest allows interest to accumulate over time as opposed to simple interest, which does not compound because prior interest is simply not added to the principal for the current period.
The simple annual interest rate is obtained by multiplying the interest per period by the total number of periods in a year.
Hence the Green family will have doubled the investment in approximately 25 years.
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calculate confidence interval for difference in means
The way to calculate confidence interval for difference in means is given below:
What is confidence interval for difference in means?A range of values that, with a certain degree of confidence, are likely to represent the genuine difference between two population means is known as a confidence interval (C.I.) for a difference between means.
They will go out and take a random sample from each population, compute the mean for each sample, and use that information to estimate the difference. The difference between the two means can then be compared.
Hence, Confidence interval = (x1–x2) +/- t*√((sp2/n1) + (sp2/n2))
Example:
Let's say our goal is to determine the variation in mean weight between two turtle species, so we go out and randomly select 15 turtles from each population. The summaries for each sample are as follows:
Sample 1:
x1 = 310
s1 = 18.5
n1 = 15
Sample 1:
x2 = 300
s2 = 16.4
n2 = 15
For 90% Confidence Interval will be"
(310-300) +/- 1.70*√((305.61/15) + (305.61/15))
= [-0.8589, 20.8589]
For 95% Confidence Interval will be:
(310-300) +/- 2.05*√((305.61/15) + (305.61/15))
= [-3.0757, 23.0757]
For 99% Confidence Interval will be:
(310-300) +/- 2.76*√((305.61/15) + (305.61/15))
= [-7.6389, 27.6389]
Hence, for the Difference Between Means interpretation will be: The confidence interval [-3.0757, 23.0757] has a 95% probability of containing the actual difference in mean weight between the two turtle populations.
It's possible that there is no difference in the mean weight of the turtles in these two populations because this interval contains the value "0," which indicates that it's possible.
With regard to the mean weight of the turtles in these two populations, we cannot, therefore, say with 95% confidence that there is a difference.
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Rubber Bands
Juan wants to buy small bag and
I medium bag of rubber bands. Will
that give him more rubber bands
than a large bag? Explain.
No-Because, 25+45=70
2. Make Sense What information is given?
What do you need to find?
4. Explain If Juan buys I small bag and
I medium bag of rubber bands, will he
have more rubber bands than a large
bag has? Make a math argument.
Number of Rubber Bands in a Bag
Small
25
Medium
45
Large
70
3. Reasoning Juan wants to use counters to
solve the problem. Do you think Juan's tool
choice is a good one? Why or why not?
Answer:
Step-by-step explanation:
No, buying small bag and medium bag of rubber bands will not give him more rubber bands than a large bag.
Define addition.Combining things and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation. The combination of at least two numbers constitutes basic addition. Once a student has mastered counting, they can begin to study basic addition. By locating the addend at the top of the chart and tracing down to the row of the second addend, they can utilize an addition chart as a learning tool.
Given,
Small = 25
Medium = 45
Large = 70
Juan wants to buy small bag and medium bag of rubber bands.
So, adding:
Small + Medium
25 + 45
70
No, buying small bag and medium bag of rubber bands will not give him more rubber bands than a large bag.
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Find the inverse of each cubic function. Confirm the inverse relationship using composition. Graph the function and its inverse.
f (x) = 0.25x^3
The inverse funciton is:
g(x) = ∛(x/0.25)
And the graph of the two functions can be seen in the image at the end.
How to find the inverse of the cubic function?We want to find the inverse of the function:
f(x) = 0.25*x^3
Two functions f(x) and g(x) are inverses if and only if:
f( g(x)) = x
g(f(x)) = x
So, let's say that g(x) is the inverse of f(x), then we can write:
f(g(x)) = 0.25*(g(x))^3
And that must be equal to x, then we can solve:
0.25*(g(x))^3 = x
(g(x))^3 = x/0.25
g(x) = ∛(x/0.25)
That is the inverse fuction, the graph of the two functions can be sen below.
Where the red one is g(x) and the black one is f(x).
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Which fractions are considered benchmark fractions?
Group of answer choices
½, ¼, 10/20, 5/6
½ , ¼, 1/10, 6/3
½ , 6/23, ¼, ⅔
½, ¼, ¾ 1/3
(B) 1/2,1/4,1/10,6/3 are considered benchmark fractions.
Benchmark fractions are regular fractions that we can use to compare or judge other fractions when measuring, comparing, or ranking them. Benchmark fractions are simple to see and recognize, making it easier to estimate the components. We can either make the denominators of two fractions with distinct numerators and denominators the same, or we can compare them to a benchmark fraction like 1/2. The best way to use benchmark fractions is to plot the fractions to be compared on a number line next to the benchmarks.
A ruler is a tool most frequently used for number lines. As reference points, it uses half, fourth, and eighth.
Only option (B) satisfies the meaning of the benchmark fraction.
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AP MATH STATISTICS
SOMEONE PLEASE HELP (image above) (brainlist answer)
The values obtained from the data in the table are as follows;
a) The percentage of boys that regularly drink Water is 32.8%
b) The proportion of students that were Girls ≈ 0.43
c) The marginal frequency for Lemonade ≈ 74
d) The joint frequency for Girls who regularly drink Lemonade = 32
e) The joint relative frequency for Boys who regularly drink Soda ≈ 0.21
f) The marginal relative frequency for Girls ≈ 0.43
What is a two-way table in statistics?A two-way table provides the values of the frequencies for two variables, such that one category of variables are presented using the rows and the other category of variables are presented along the columns.
a) The total number of boys = 45 + 50 + 42 = 137
The number of boys that regularly drink water = 45
The percentage of boys that regularly drink water is therefore;
[tex]Percentage = \dfrac{45}{137} \times 100 \approx 32.8\%[/tex]
b) The total number of students = 77 + 88 + 74 = 239
The number of girls = 32 + 38 + 32 = 102
The proportion of students that were girls is therefore;
[tex]\dfrac{102}{239} \approx 0.43[/tex]
c) The marginal frequency for Lemonade which is the row total for Lemonade is 74
d) The joint frequency for Girls who regularly drink Lemonade from the table is 32
e) The joint relative frequency for the Boys who regularly drink Soda is found using the equation;
[tex]JRF = \dfrac{50}{239} \approx 0.21[/tex]
f) The marginal relative frequency for the girls is given by the equation;
[tex]MRF = \dfrac{102}{239} \approx 0.43[/tex]
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Please answer if your good at math and I will give brainlest.
Tell whether the pair of polygons is similar. Explain why or why not.
f(x)=x+ 5;find f (1)
Answer:
f(1)=6
Step-by-step explanation:
f(x)=x+5
f(1)=1+5
f(1)=6
Hopes this helps please mark brainliest
In ABC, AB = 6.5 m and BC= 8.1 m. What is the greatest possible whole-number perimeter of AABC, in meters? A. 29 meters B. 15 meters C. 22 meters D. 14 meters
The greatest possible whole number perimeter of the triangle is 29 meters .
The two sides of the triangle are 8.1 m and 6.5 m.
Now , from the properties of triangles , we can say that the third side will be less than the sum of the other two sides.
if third side is x , then we can write the inequality
x < 8.1+6.5
or, x < 14.6 m
Takin x =14.6 m. The perimeter of the triangle will be
8.1 m +6.5 m+14.6 = 29.2
Hence the greatest possible side will be 29m.
Any two-dimensional figure's perimeter is dependent on the space surrounding it. Practically any closed shape's perimeter may be calculated simply summing the lengths of its sides.
The formula used to determine the perimeter of a closed shape figure is often proportionate to the length of the figure's outside line. A triangle's perimeter is determined by multiplying its three sides together.
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To visit her Grandmother, Jesica takes a horse 3.31 Kilometers and a motorcycle 1 kilometer.
How Many Kilometers is Jessica's journey in total?
Jessica's journey in total is a distance of 4.31 Kilometers.
What is the addition operation?The addition operation in mathematics adds values on each side of the operator.
For example 4 + 2 = 6
Given that
The distance traveled by horse = 3.31 km
The distance traveled by motorcycle = 1 km
To determine the total distance of Jessica's journey
The total distance of Jessica's journey = distance traveled by horse + distance traveled by motorcycle
The total distance of Jessica's journey = 3.31 + 1
Apply the addition operation,
The total distance of Jessica's journey = 4.31
Therefore, Jessica's journey in total is the distance of 4.31 Kilometers.
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For every 8 mango trees in the orchard, there are 4 star apple trees. If there are 1,320 trees, how many trees of each kind are there?
Answer:
880 mango trees and 440 star apple strees
Step-by-step explanation:
when for every 8 mango trees there are 4 star apple trees, then there is a 2:1 ratio of mango : star apple trees.
1320 divided by 3 = 440
and 2*440 = 880 mango trees, 1*440 = 440 star apple trees
If your weekly salary is AED3,731.00, how much do you have left after you pay for the following? Rent - AED 417 ,Cable TV -AED 88.12, Electricity - AED 167.72 and Groceries - AED 458.66
Answer:
-400.50
Step-by-step explanation:
Justin has $3.25 worth of dimes and quarters. He has a total of 16 dimes and quarters
altogether. Determine the number of dimes and the number of quarters that Justin
has.
There are blank
dimes and blank
quarters.
Answer:9
Step-by-step explanation:
Unit conversion is the conversion of one unit to another unit with its standard conversion.
The number of dimes is 5.
The number of quarters is 11.
What is unit conversion?Unit conversion is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 second
1 hour = 60 minutes
1 km = 1000 m
We have,
0.1 dollar = 1 dimes
0.25 dollar = 1 quarter
Now,
D + Q = 16 _____(1)
0.1D + 0.25Q = 3.25 ______(2)
From (1) we get,
D = 16 - Q ____(3)
Putting in (2) we get,
0.1D + 0.25Q = 3.25
0.1 (16 - Q) + 0.25Q = 3.25
1.6 - 0.1Q + 0.25Q = 3.25
1.6 + 0.15Q = 3.25
0.15Q = 1.65
Q = 11
Now,
D = 16 - Q
D = 16 - 11 = 5
D = 5
Thus,
The number of dimes is 5.
The number of quarters is 11.
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Flying against the wind an airplane travels 2850 km in five hours. Flying with the wind the same plane travels 5820 km in six hours. What is the rate of the plane and still air and what is the rate of wind
If lying with the wind the same plane travels 5820 km in six hours. The rate of the plane and still air is 770 mph and the rate of wind is 200 mph.
How to find the rate of plane and wind?Let J represent the rate of jet in still air
Let W represent the rate of wind
Distance:
d = rt
r = d/t
Against the wind the Jet flies at a rate of J - W
= 2850 mi/ 5hrs = 570 mph
With the wind the Jet flies at a rate of:
J+W = 5820 mi/6hrs = 970 mph
The average rate for Jet
J = (570+970)/2
J = 770 mph
So,
W = 770 - 570 = 200 mph
The rate of the plane and still air is 770 mph
The rate of wind is 200 mph.
Therefore 770 mph and 200 mph are the rate.
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What is 22 divided by 4?
Answer:
Step-by-step explanation:
it’s 5.5
What is the equation of the line in slope intercept form
Answer:
y=3/5x+3
Step-by-step explanation:
Im sorry if this is wrong your picture is a little blurry or something but
for the +3 part you go up 3 then find a pretty spot on the graph(when the line goes through a point) and [tex]\frac{rise}{run}[/tex] would be 3 over five since you go down 3 and to the left 5 which would both be negative but two negatives make a positive.
Hope this makes sense.:)
4x-6y=-24. simplified
The equation, 4x-6y = -24, after simplification is 2x-3y = -12.
According to the question,
We have the following equation:
4x-6y = -24
Now, this equation can easily simplified by following the given steps.
First, we will divide both sides of the equation by 2. Now, we have the following expression:
2x-3y = -24/2
2x-3y = -12
Now, this equation can not be further simplified. What we can do in this equation is to only change the sides of the terms from right hand side to the left hand side or left hand side to the right hand side.
Hence, the equation, 4x-6y = -24, after simplification is 2x-3y = -12.
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Angie's grandma live in Cleveland, Ohio,and is going to drive to Minneapolis, Minnesota, to visit Angie and her family. The two cities are 752 travel miles apart,and it take 12 hours to drive that far . Angie' s grandma want to do the drive in two day. If she drive the same amount each day, how many mail will she drive each day?
This is a 3rd grade question which will NOT involve standard division.
Angie' s grandma drive 376 miles in each day.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The two cities are 752 travel miles apart.
And, It take 12 hours to drive that far.
Now,
Since, Angie' s grandma want to do the drive in two day.
So, The distance cover by Angie' s grandma in each day is,
= 752 / 2
= 376 miles
Thus, Angie' s grandma drive 376 miles in each day.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
The value of angle x is 113 degrees and y is 67 degrees.
What is angle?
In euclidean geometry, an angle is that the figure shaped by 2 rays, referred to as the perimeters of the angle, sharing a typical end point, referred to as the vertex of the angle. Angles shaped by 2 rays exist the plane that contains the rays.
Main body:
Given ;
∠C = 62°
∠A =51°
according to triangle sum property: Sum of angles of triangle is 180°
Using it,
62° +51° +∠y = 180°
113°+ ∠y =180°
∠y = 67°
∠x is equal to the sum of interior opposite angle ,so using it we get:
∠x = 61°+52°
∠x = 113°
Hence the value of ∠x is 113 degrees and y is 67 degrees.
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Julie thinks this will mean the prices will be reduced to $0 after the four reductions because 4 x
25% = 100%.
Explain why Julie is wrong
Answer:
4x25/100=1
Step-by-step explanation:
How I came up with it
4÷100=25
25÷25=1
Julie will only get a 1% discount
Hope it helps
The radius of a circle is 8 cm. Find its circumference in terms of pie
Answer:
16 [tex]\pi[/tex] cm
Step-by-step explanation:
C = 8 * 2 * pi = 16 [tex]\pi[/tex] cm
Answer:C≈50.27cm
Step-by-step explanation:
C=2πr=2·π·8≈50.26548cm
Due today Please help asap please!!
By using the transformations of congruent triangles, the congruence statement is true for triangle ABC and triangle EFG and it is false for triangle DEF and triangle JKL.
The transformations of congruent triangles include translations, reflections and rotations.
a) Triangle ABC is a translation of triangle EFG. This is said as all the sides of the triangle ABC are proportional to that of triangle EFG. The side AB is proportional to that of side EF. The side AC is proportional to that of side EG. The side BC is proportional to that of side FG. So, triangle ABC and triangle EFG are congruent to each other.
b) In triangle DEF and triangle JKL, neither the sides nor the angles are proportionate. The side JK is neither proportional to DE, EF nor DF. Angles are also not proportional to each other as well. So, triangle DEF and triangle JKL are not congruent to each other.
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(2x + 3y = 5
(2x + 4y = 6
Answer:
2x + 3y = 5 >>>> 1st equation
2x + 4y = 6 >>>> 2nd equation
2nd equation - 1st equation
2x+4y-2x-3y=6-5
y=1
2x+3×1=5
2x=2
x=1
47 x98=(___x47-(2x47=
The preceding quadratic equation can be factored as follows: (X + 2 ) (X - 49) (X - 49).
What are quadratic equation?Having the form ax2 + bx + c = 0, quadratic equations are second-degree algebraic expressions. From the term "quad," which meaning square, comes the word "quadratic." A quadratic equation is a "equation of degree 2," to put it another way. A quadratic equation is employed in numerous situations. Did you know that a quadratic equation can accurately predict a rocket's trajectory after launch? In addition, there are many uses for quadratic equations in physics, engineering, astronomy, etc.There are a maximum of two solutions for x in the second-degree quadratic equations. These two solutions for x are denoted as (, ) and are also known as the roots of the quadratic equations.acc to our question,
2 x -49 = -982 + (-49) = -47x2 - 47x - 98 = 0The solution to factor the quadratic equation above is:(X + 2 ) (X - 49)Hence,The preceding quadratic equation can be factored as follows: (X + 2 ) (X - 49) (X - 49).
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Explain how you can use the rules you know for multiplying positive and neg-
ative integers to multiply positive and negative fractions.
Answer:
See the explanation below.
Step-by-step explanation:
Whether the answer is positive or negative depends on the number of positive and negative values in the question. The rules are exactly the same as to whether an answer is positive or negative. In the case of fractions, the rules for multiplying fractions apply as well (the numerators in the expression multiply to produce the product's numerator; the denominators in the expression multiply to produce the product's denominator) and the answer should be reduced to lowest terms.If there is an odd number of negative terms, the answer will be negative.If there is an even number of negative terms, the answer will be positive.
I would appreciate it if you mark my answer as brainliest.
