Answer:
1/6th chance
Step-by-step explanation:
Since there are 6 possible outcomes that will be the denominator, now count the number you want to roll, in this case 1 since you only want to find the probably of getting a 3. So the probably is 1/6
What is the probability of having exactly 2 boys in 3 births AND having exactly 2 girls in 3 births? (Equal chance of any)
the probability of having exactly 2 boys in 3 births AND having exactly 2 girls in 3 births is 3/8.
What is the difference between permutation and combination in probability?For a list of data, where the order of the data is important, a permutation is used, while for a group of data, where the order of the data is irrelevant, a combination is used.Combinations exist when the order doesn't matter, but permutations exist when it does. A permutation could be described as an ordered combination. The following formula determines how many permutations of n objects, taken r at a time: P(n,r)=n!the possible outcomes are
BBB,BBG,BGB,GBB,BGG,GBG,GGB,GGG
wherein 3 meet the requirement. There are 8 possible outcomes, all equally likely (if we assume each gender is equally likely). Hence the choice is 3/8.
We can also think about it in at least one more way: You identified all the possible ways to get 2 boys and one girl. Since the events are disjoint, we can add up the probabilities
P(2 boys, 1 girl)=P(BBG)+P(BGB)+P(GBB)
=[tex]\frac{1}{2} X\frac{1}{2} X \frac{1}{2}[/tex]+ [tex]\frac{1}{2} X\frac{1}{2} X \frac{1}{2}[/tex] + [tex]\frac{1}{2} X\frac{1}{2} X \frac{1}{2}[/tex]
= 3/8.
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5. Sales at Borders Books and Music stores increased from $2503 million in 1997 to $3699
million in 2003. Assuming that sales have been increasing exponentially, find an equation of
the form P = Poat, where P is Borders sales in millions of dollars and t is the number of years
since 1997. What is the percent growth rate?
B
Which of the following tables of values
In linear relationship, 199.333 million dollers per year is the percent growth rate.
What is linear relationship in math?
A statistical word used to express a straight-line relationship between two variables is a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.Given , t Rs numbers of year since 1997 .
t = 0 corresponds to year 1997
t = 6 corresponds to year 2003
Let s(t) = sales of the year
So, given that
sales in 19997 is $2503 millions
so s(0) = 2503 million dollers
Sales in 2003 is $3699 millions
so s(6) = 3699 million dollers
Now apply formula of linear relation ship
s - s(0) = s(6) - s(0)/6 - 0 ( t - 0)
s - 2503 = 3699 - 2503/6 (t)
s = 1196* t /6 + 2503
so s(t) = 598t/3 + 2503
so now average rate of change of function over on interval is given by
= s(b) - s(a)/b - a
= s(6) - s( 0)/6 - 0
= 3699 - 2503/6
= 598/3
= 199.333 million dollers per year .
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4 ≤-3x - 1≤9
What is the compound inequality
Answer:
−1≤x<3
Step-by-step explanation:
−4≤3x−1<8
−4≤3x−1and3x−1<8
3x−1≥−4and3x−1+1<8+1
3x≥−3and3x<9
x≥−1andx<3
−1≤x<3
Please help I’ll mark you as brainliest if correct!!
Answer: 3
Step-by-step explanation:
1. 2 packs of 6
2. 6 packs of 2
3. 3 packs of 2 and one pack of 6
-7×+8=-4x = ? trying to understand this
Here, we want to get the value of x
We can get this by isolating x
We start by bringing like terms together
[tex]\begin{gathered} -7x\text{ = -4-8} \\ \\ -7x\text{ = -12} \\ \\ x\text{ = }\frac{-12}{-7} \\ \\ x\text{ = }\frac{12}{7} \end{gathered}[/tex]please help me with this question anyone
Part 1 of 2
Your friend says that the solutions to the inequality 6x-19x≤52 are xs-4. Solve the inequality correctly. What error did your friend
make?
How many solutions does the equation. a| x + b | + c = d have when a > 0 and c = d? When a < 0 and c > d ? Explain your reasoning.
In the first case the equation has only one unique solution and in the second case the equation has many solutions.
We are given the equation a|x + b| + c = d and we need to determine the solution of this equation when a > 0 and c = d. The equation contains absolute value symbol which always gives a positive value. The equation can be written as
a|x + b| + c = d
a|x + b| = d - c, since c = d then we can write equation as
a|x + b| = 0, Now, a > 0
=> |x + b| = 0
=> x = -b that is only one unique solution.
Now, in second case a < 0 and c > d then
a|x + b| = d - c
If c > d, then the left-hand side of the equation becomes negative and also a < 0 so the right-hand side also becomes negative. So, the equation will have many solutions in this case.
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Write an equation of the line passing through the point (9, 6) that is parallel to the
line y = -6x - 6.
⇒Parallel line have the same gradient if the gradient of the given equation is m=-6 it means that the gradient of the new equation is also m=-6
The general equation of a straight line is y=mx+c
⇒plug in the points and find the value of the unknown c
[tex]6=-6(9)+c\\6=-54+c\\c=6+54\\c=60[/tex]
⇒This means that the new equation parallel to the given equation is⇒
[tex]y=-6x+60[/tex]
Selene's checking account balance was -$32, and then she withdrew $43 more. What is her checking account balance after the withdrawal?
Answer: $-75
Step-by-step explanation:
She took out money therefore the balance will go down. If we take 43 dollars from $-32 then we will get -75.
Perform the following division: -48 / 5
A. 9.6
B. 8.1
C. -8.1
D. -9.6
For scenarios of statistical studies are given below. Decide which study is a sample statistic
EXPLANATION
Since we have four given scenarios, the only viable option is the third one because It's the only statement where we take a sample (1000 individuals of 1883 participants).
4. The ages of the members of a volunteer group are shown below: 13, 14, 14, 14, 15, 15, 15, 16, 16, 21, 23 Which box plot best represents this data? F 13 15 17 19 21 23 13 15 17 21 23 H < 15 19 15 17 19 21
First, we need to calculate the median
13, 14, 14, 14, 15, 15, 15, 16, 16, 21, 23
we have 11 values the media is the 6th value in this case 15.
the lower extreme is 13 the upper extreme is 23.
The lower quartile is 14 and upper quartile is 16
the box plot is
When making homemade ice cream in a hand-cranked freezer, the tub containing the ice cream mix is surrounded by a brine (water/salt) solution. To freeze the ice cream mix rapidly so that smooth and creamy ice cream results, the brine solution should combine crushed ice and rock salt in a ratio of 5 to 1. A small ice cream freezer requires 10 cups of crushed ice. How much rock salt should be mixed with the ice to create the necessary brine solution?
Answer:
When making homemade ice cream in a hand-cranked freezer, the tub containing the ice cream mix is surrounded by a brine (water/salt) solution. To freeze the ice cream mix rapidly so that smooth and creamy ice cream results, the brine solution should combine crushed ice and rock salt in a ratio of 5 to 1.
Give a counterexample to the following conditional statement. Write your answer as a number. If |x+ 4|= 8, then x=−12
he Solution:
iven in the question that if
[tex]|x+4|=8\text{ then x=-12}[/tex]We are required to give a counterexample to the given conditional statement above.
[tex]\begin{gathered} |x+4|=8 \\ \text{Means that} \\ x+4=8\text{ or x+4=-8} \end{gathered}[/tex]Solving each of the equations above, we get
[tex]\begin{gathered} x+4=-8 \\ x=-8-4 \\ x=-12 \\ Or \\ x+4=8 \\ x=8-4 \\ x=4 \\ \text{ So, } \\ x=-12\text{ or x=4} \end{gathered}[/tex]So, the counterexample to the given conditional statement is x = 4.
Identifying each relation, decide wether or not it is a function
For the following relations, using the condition for a relation to represent a function, we have that:
Relation 1 is not a function.Relation 2 is a function.When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.
The input may also be called domain, while the output may also be called range.
For a point in the standard format (x,y), we have that:
x is the input or domain.y is the output or range.The meaning is that the input given by the x-coordinate is mapped to the output given by the y-coordinate.Hence, in the context of this problem, we have that:
Relation 1 is not a function, as the domain of f is mapped to different ranges of f and g.Relation 2 is a function, as each domain is mapped to only one range.More can be learned about relations and functions at https://brainly.com/question/12463448
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Simplify this expression 2 x x 3 x y
Answer:
6[tex]x^{2}[/tex]y
Step-by-step explanation:
If I ready your explanation correctly it is
2x3xy We multiply the 2 and 3 and the xx would be [tex]x^{2}[/tex]
3 is grater than or equal to W and -5 is less than W write as an inequality
Answer: 3 ≥ W > -5
Step-by-step explanation:
Just look at the way the question is asked, that is the best I can explain. Sorry.
01In Will's garden, 71 out of 200 plants have developed seends. Which is closest tothe percent of his plants that have developed seeds?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
plants have developed seeds = 71
total plants = 200
Step 02:
% = part / whole * 100
[tex]\text{percentage \% = }\frac{71}{200}\cdot100[/tex]% = 35.5
The answer is:
35.5 %
At age 19, someone sets up an IRA (individual retirement account) with an APR of7 %. At the end of each month he deposits $20.00 in the account. How much will the IRA contain when he retires at age 65? Compare that amount to the total deposits made over the time period.
The amount of IRA when he will retire at age 65 = $83448.27
And the total deposits made over the time period is less than the the amount of IRA
We have been given, at age 19, someone sets up an IRA (individual retirement account) with an APR of7 %. At the end of each month he deposits $20.00 in the account.
We need to find the IRA when he retires at age 65.
here, 65 - 19 = 46 years
So, the period would be,
46 × 12 = 552 months
Monthly deposit= $20
And the interest rate would be,
Interest = 0.07/12
= 0.0058
To calculate the future value, we need to use the following formula:
FV= {A × [(1 + i)^n-1]} / i
A= monthly deposit
i = interest rate
n = period
So, the Future Value of Annuity
= 20 × ([1 + 0.0058]^552 - 1 ) / (0.0058)
= 20 × 24.2 / 0.0058
= $83448.27
So, the amount of IRA when he will retire = $83448.27
Deposits made over the time period = 20 × 46 × 12 = $11040
Difference = 83448.27 - 11040
= $72408.27
This means, the total deposits made over the time period is less than the the amount of IRA he will get when he retires at age 65.
Therefore, the amount of IRA when he will retire at age 65 = $83448.27
And the total deposits made over the time period is less than the the amount of IRA
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Classify each as corresponding, AIA, AEA, CIA,
or CEA
1)
3)
5)
X
y
2)
4)
++
The number must be a one digit number, When the number is added to 746 the digit in the ones place of the sum is less than the ones digit in 746.
The one digit numbers that when added to 746 gives a digit in the ones place of the sum which is less than the ones digit in 746 are;
4, 5, 6, 7, 8, or 9
What is a place value?Place values is the value a digit in a number posseses based on its position in the number
The given parameters of the number are;
The number of digits in the number = 1
The ones digit of the sum of the number and 746 is less than the ones digit in 746, which is 6
Therefore;
The value of the number when added to 746 can be expressed as 7xy
Where;
y < 6
The process of adding two numbers involves the addition of the numbers based on their place values such that the ones digit part of the result is placed as the output while the 1 in a result that is 10 or more is added to the next higher place value number to the left of the added digits
Therefore, to have a value of the digit in the ones place less than 6, we can have;
746 + 0 = 746
746 + 1 = 747
746 + 2 = 748
746 + 3 = 749
746 + 4 = 750; 0 < 6746 + 5 = 751; 1 < 6746 + 6 = 752; 2 < 6746 + 7 = 753; 3 < 6746 + 8 = 754; 4 < 6746 + 9 = 755; 5 < 6The possible one digit numbers that gives a sum with a ones digit less than 6 when added to 746 therefore includes; 4, 5, 6, 7, 8, and 9
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a bank features a savings account that has an annual percentage rate of 4.7% with interest compounded monthly.Sean deposits $3500 into the account. How much money will sean have in the account in 1 year
Based on the interest compounded by the bank monthly, and the amount deposited by Sean in the account, the amount of money that will be in that account in a year is $3,668.09
How to find the amount saved?First, find the monthly rate because the interest is compounded monthly:
= 4.7% / 12
= 4.7/12 %
The number of periods would be:
= 1 x 12 months a year
= 12 periods
The amount that Sean will have in a year can be found by the formula:
= Amount invested x (1 + periodic rate) ^ number of periods
Solving for the amount in the account after 1 year gives:
= 3,500 x (1 + 4.7%/12) ^ 12
= 3,500 x 1.0480257937581146250656044647993
= $3,668.09
In conclusion, the amount that Sean will have after saving for a year in the account would be $3,668.09
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Solve each system by graphing, and then write the solution. x + 4 = - y-6y + 9x = - 6
To solve the given system of equation by graphing you only have to graph both lines. The solution is the intersection between the lines.
According to this, the intersection of the two lines is (-2, -2). It means that the solution is (-2, -2).
If f (x) = -3x - 2, find the value
ƒ(-7)
Answer:
19
Step-by-step explanation:
-3(-7)-2
21-2
19
it need to be at least 20 chqracters so ignore this the answer is at the top
The tree in Bob's backyard is 8.5m high. How high is it in centimeters?Be sure to include the correct unit in your answer.
We know that
1 m = 100 cm
Then to change from meter to centimeter, multiply by 100
Since the tree in Bob's backyard is 8.5 m
Then to change it to cm, multiply 8.5 by 100
[tex]\begin{gathered} 1m=100cm \\ 8.5m=8.5\times100 \\ 8.5m=850cm \end{gathered}[/tex]The height of the tree is 850 cm
Pls help and thanks!
the multiplication of 2 matrices A and B
a11 a12 a13 ...
a21 a22 a23 ...
a31 a32 a33 ...
...
b11 b12 b13 ...
b21 b22 b23 ...
b31 b32 b33 ...
is
a11×b11+a12×b21+a13×b31+... a11×b12+a12×b22+a13×b32 ...
a21×b11+a22×b21+a23×b31+... a21×b12+a22×b22+a23×b32
a31×b11+a32×b21+a33×b31+... a31×b12+a32×b22+a33×b32
...
in other words, we combine the rows of the first matrix with the columns of the second matrix.
the rows of the result matrix are driven by the rows of the first matrix and the columns of the second matrix.
formally :
we can multiply a m×n matrix only with a n×o matrix.
the number of columns in the first matrix must be equal to the number of rows in the second matrix.
the result matrix is then sized m×o.
the first element (first row first column) of the result matrix is the sum of the products of the elements of the first row of the first matrix with the elements of the first column of the second matrix.
the element in the (x,y) position in the result matrix is the sum of the products of the elements of the xth row of the first matrix with the elements of the yth column of the second matrix.
so, when multiplying 2 2×2 matrices, the condition is automatically fulfilled : m = n = o = 2
ST =
4×0+1×-4 4×4+1×3
-3×0+-2×-4 -3×4+-2×3
=
-4 19
8 -18
and TS =
0×4+4×-3 0×1+4×-2
-4×4+3×-3 -4×1+3×-2
=
-12 -8
-25 -10
as we can see, the 2 results are completely different.
Which set of ordered pairs does not represent a function?
O {(-6, 9), (-7, 1), (-4,-2), (-4,5)}
O {(-6,-8), (-9, 8), (6, 9), (5,8)}
O {(3,-8), (-4,0), -9,-1), (8,0)}
O {(6,4), (-1,-9), (-9, 1), (-2,-1)}
Answer:
The top set does not represent a function because -4 corresponds to two y-values.
Name:
Math for College Liberal Arts
Classifying Data and Frequency Tables
Classify the following variables as qualitative (C) or quantitative (Q). (1 point each)
1. A list of telephone numbers:
3. Types of animals at a zoo :
11th graders
12th graders
Students at a local high school in grades 11 and 12 are asked what gaming system they
prefer. The results are summarized below in a two-way frequency table.
5. Complete the table. (6 points)
TOTAL
Nintendo Switch
132
11th graders
12th graders
TOTAL
Date:
?
?
2. Heights of players on a basketball team
4. Number of children in a family:
PS4
?
127
?
Neither
?
PS4
95
182
TOTAL
?
Use the table above to answer these questions. (1 point each)
6. How many 12th graders do not like either gaming system?
7. How many total students like the Nintendo Switch?
8. What is the total number of 11th grade students?
9. How many total students are there?
10. How many 11th graders like the PS4?_
11. Create a relative frequency table from the table above. Write the relative frequencies as decimals
rounded to two decimal places. (12 points)
Nintendo Switch
Neither
315
655
TOTAL
Numerical variables are the subject of quantitative data. Qualitative data can be represented by a name, symbol, or number code and are measures of "types."
What are qualitative variables and quantitative variables?Numerical variables are the subject of quantitative data. Qualitative data can be represented by a name, symbol, or number code and are measures of "types." Data concerning categorical variables make up qualitative data.
Quantitative Variables with values obtained through measurement or counting. Variables that exists not measurement variables are referred to as qualitative variables. Their values are not determined by counting or measuring. Values that are used to identify people in a table are called designators. While qualitative research focuses on words and meanings, quantitative research deals with figures and statistics.
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A dealer sold a watch 130% of his cost. If the sale price was $39, how much did the cost the dealer? Please show your work.
The cost of the watch which sold at 130% of its cost and sale price is $39 is equal to $30.
As given in the question,
Sale price of the watch for which dealer sold = $39
Let $'x' be the cost of the watch with which dealer purchase
A dealer sold a watch 130% of its cost
Required expression to show the given condition of a dealer is given by:
130% of x = $39
⇒ (130 /100) × x = $39
⇒ x = ( 39 × 100 ) / 130
⇒ x = $30
Therefore, the cost of the watch which sold at 130% of its cost and sale price is $39 is equal to $30.
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