Answer:
1/2 or 0.5
Step-by-step explanation:
since 7 out of 14 shirts sold were green, the probability would be 7/14. but since you need to simplify, it will be 1/2 or 0.5
Answer:
1/2
Step-by-step explanation:
Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this helps!
When cams babby brother started drinking this bottle held 270 millilliters of milk how much didi the babby drink
Answer:
150mL
Step-by-step explanation:
Given
\(Initial = 270mL\)
See attachment for bottle
Required
The quantity drank
In the attached, bottle, the quantity is at 120mL mark.
This means that:
\(Final = 120mL\)
So, the quantity drank is calculated as:
\(Q = Initial - Final\)
\(Q = 270mL - 120mL\)
\(Q = 150mL\)
Computer Alpha’s password must be exactly 10 characters long; a character can be a letter (not case sensitive), number (0 through 9), or one of 13 special characters.
a) How many possible passwords can there be?
b) If there must be at least one special character and at least two numbers, how many possible passwords can there be?
c) Howmanydifferentpasswordscanbemadebyrearrangingthecharacters"AA!!!56555"?
d) Computer Omega’s password requirement must be exactly four 4-letter "words" (any four letters make a "word"; there are no spaces between the words) typed in a row.
How many possible passwords can there be?
e) Which computer is easier to hack (i.e., guess a correct password at random)?
The number of possible combinations for a password is an important aspect of computer security.
A password is a crucial aspect of computer security. It is used to protect personal information and keep unauthorized users from accessing important data.
a) For Computer Alpha's password, there are 26 letters (not case-sensitive), 10 numbers (0-9), and 13 special characters.
The formula for combination is nCr, where n is the total number of items, and r is the number of items to choose from.
In this case, n is 10 and r is 49, so the number of possible combinations is
=> 49C10 = 3,738,383,600.
b) If there must be at least one special character and at least two numbers, the number of possible combinations decreases.
The total number of possible combinations is
=> 10C2 x 13C1 x 36C7.
c) The password "AA!!!56555" has 8 characters. The number of different passwords that can be made by rearranging these characters is 8!.
d) For Computer Omega's password, there are 26 letters and four "words" of four letters each.
The number of possible combinations is
=> 26⁴ x 26⁴ x 26⁴ x 26⁴ = 208,827,064,576,000.
e) Based on the number of possible combinations, Computer Omega is easier to hack compared to Computer Alpha. This is because there are fewer possible combinations for Computer Omega's password.
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The graph of a linear function f passes through
the point (1,4) and has a slope of -2.
What is the zero of f?
Answer:
x = -1
Step-by-step explanation:
(x1,y1) = (1,4) and m = 2
(y-y1)/(x-x1) = m
derive the linear function first before finding the zero.
(y-4)/(x-1) = 2
cross multiply
y-4 = 2(x-1)
y-4= 2x - 2
y = 2x - 2+4
y. = 2x + 2 is the linear equation
at y = 0 gives the zero
2x + 2 = 0
2x = -2
x = -2/2
x = -1 is the zero
....................
Answer:
I was told about this question by brainly in my email...
Step-by-step explanation:
3. The probability of the union of two dependent events is P(A) + P(B | A).
True or False?
The statement "The probability of the union of two dependent events is P(A) + P(B | A)." is False.
The correct formula for the probability of the union of two events A and B is:
P(A or B) = P(A) + P(B) - P(A and B)
This formula holds whether or not the events are dependent.
The term P(B | A) represents the conditional probability of B given that A has occurred, and it is used in the formula for the probability of the intersection of two events:
P(A and B) = P(A) x P(B | A)
So, to compute P(A or B), we need to take into account the probability of the intersection of A and B, which is subtracted from the sum of the individual probabilities P(A) and P(B).
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10x + 8 = 3(x – 2)
10x + 8 = 3x
Answer:
dfq
Step-by-step explanation:
1.
10x + 8 = 3(x – 2)
10x + 8 = 3x - 6
10x - 3x = -8 -6
7x = -14
x = -14/7
x = -2
2.
10x + 8 = 3x
10x - 3x = -8
7x = - 8
x = -8/7
Let
v⃗ 1=[−12] and v⃗ 2=[1−1].v→1=[−12] and v→2=[1−1].
Let T:ℝ2→ℝ2T:R2→R2 be the linear transformation satisfying
T(v⃗ 1)=[−11−9] and T(v⃗ 2)=[56].T(v→1)=[−11−9] and T(v→2)=[56].
Find the image of an arbitrary vector [xy].
can anyone help me ? Thanks.
The image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].
To find the image of an arbitrary vector [xy] under the linear transformation T, we can use the linearity property of T.
Since T is a linear transformation, we have:
\(T([xy]) = T(xv_1 + yv_2)\)
Using the linearity property, we can expand this expression:
\(T([xy]) = xT(v_1) + yT(v_2)\)
Substituting the given values of \(T(v_1)\) and \(T(v_2)\), we get:
T([xy]) = x[-11-9] + y[56]
T([xy]) = [-11x - 9x + 56y]
Therefore, the image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].
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How many equivalent fractions can I make in order to be the same answer to 2/3
Answer:
Technically there's an infinite number of equivalent fractions for 2/3 but to list a few 4/6, 6/9, 8/12, 12/18, 18/27.
Step-by-step explanation:
Hope this helps!
-MoCKEry
if a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?
Probability that the person randomly chosen from the town's population is under 18 or employed part time is the probability of a randomly chosen person is under 18 plus the probability of a randomly chosen person is employed part-time subtracting the probability that they are both under 18 and employed part-time.
In order to find the probability that a person is under 18 or employed part-time, you would need to know the proportion of the population that is under 18 and the proportion of the population that is employed part-time. Then you can use the following formula:
P(under 18 or part-time) = P(under 18) + P(part-time) - P(under 18 and part-time)
Where P(under 18 and part-time) is the probability that a person is under 18 and employed part-time at the same time.
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Major challenges for managers to ensure that they treat their employees fairly and equitably includes recognizing ______ and _______.
Major challenges for managers to ensure that they treat their employees fairly and equitably includes recognizing Biases and Inclusivity
Major challenges for managers to ensure that they treat their employees fairly and equitably includes recognizing biases and promoting inclusivity.
1:Biases: Managers must recognize and address their own biases, the biases that may exist within the organization. Biases can be conscious or unconscious, and lead to unfair treatment and favoritism. Managers need to be aware of these biases and actively work to mitigate their impact on decision-making processes such as promotions, assignments, and evaluations.
2:Inclusivity: Managers need to promote inclusivity by creating a work environment where all employees feel valued, respected, and included. This involves acknowledging and appreciating diversity in terms of race, gender, age, sexual orientation, ethnicity, and other dimensions of identity. Managers should ensure that opportunities for growth and advancement are accessible to all employees, and that discriminatory practices or behaviors are not tolerated.
Biases and promoting inclusivity, managers can foster a fair and equitable workplace where all employees have equal opportunities to succeed and contribute to the organization's goals.
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Michael goes to a theme park and rides two different roller coasters that both begin on a raised platform. His height while on the first roller coaster, measured in feet from the platform height, can be modeled by this graph, where t is the number of seconds since the ride began.
His height while on the second roller coaster, measured in feet from the platform height, can be modeled by a trigonometric function, shown in this table, where t is the number of seconds since the ride began.
The statement that describe the situation are;
E. While on the first roller coaster, the height switches from positive to negative approximately every 40 seconds,
D.While on the second roller coaster, the height switches every 80 seconds.
Since Function is a type of relation, or rule, that maps one input to specific single output. It is Linear function which is a function whose graph is a straight line
While on the first roller coaster, we can see that the function modeling Michael's height switches from positive to negative approximately every 40 seconds, meaning he changes from being at a height above the platform to below the platform approximately every 40 seconds.
While on the second roller coaster, we can see that this change occurs every 80 seconds.
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What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve. x = ±2 and x = ±3 x = ±2i and x = ±3 x = ±2 and x = ±3i x = ±2i and x = ±3i
Answer:
\(x=\pm 3\text{ or } x=\pm 2i\)
Step-by-step explanation:
So we have the equation:
\(x^4-5x^2-36=0\)
Let's let u equal x² so:
\(u^2-5u-36=0\)
Factor. We can use -9 and 4. So:
\(u^2+4u-9u-36=0\)
From the first two terms, factor out a u.
From the last two terms, factor out a -9. So:
\(u(u+4)-9(u+4)=0\)
Grouping:
\((u-9)(u+4)=0\)
Zero Product Property:
\(u-9=0 \text{ or } u+4=0\)
On the left, add 9. On the right, subtract 4:
\(u=9\text{ or } u=-4\)
Substitute back u:
\(x^2=9\text{ or } x^2=-4\)
Take the square root:
\(x=\pm 3\text{ or } x=\pm 2i\)
And we're done!
Our answer is the Second option.
Answer:
B). x = ±2i and x = ±3
Step-by-step explanation:
What is square root of 68 in simplest radical form?
Answer:
2 root 17
Step-by-step explanation:
The square root of 68 in simplest radical form is 2√17
How to determine the square root of 68 in simplest radical form?From the question, we have the following parameters that can be used in our computation:
The square root of 68
Mathematically, we have
The square root of 68 = √68
Expand 68
So, we have
The square root of 68 = √(4 * 17)
So, we have
The square root of 68 = √4 * √17
Evaluate
The square root of 68 = 2 * √17
Evaluate the products
The square root of 68 = 2√17
Hence, the square root of 68 is 2√17
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POSSIBLE POINTS 16A student owns a snowball stand and wants to calculate the profit (if the student has even earned a profit). The problem is that the student's little brotherkeeps giving snowballs away to his friends. Every time he does this, the student loses money.Part A: Each snowball costs the student $0.30 to make and he sells them for $1.25 each. What is the profit per snowball?Part B: Last week, the little brother gave away 12 snowballs. Assuming the student would have sold these 12 snowballs, and using your answerfrom part A, calculate how much money the student lost in profits. Show your work.
Part A:
Each snowball costs $0.30 to make and is sold for $1.25 each.
The profit per snowball is:
P = $1.25 - $0.30 = $0.95
The profit is $0.95 per snowball
Part B:
Little brother gave away 12 snowballs. The student lost the profit of those 12 snowballs:
12 x $0.95 = $11.40
The student lost $11.40 in profits
Note: The student also lost the $0.30 for the cost to make each snowball, but it's not accounted for.
PLEASE HELPPP I DONT UNDERSTAND
Step-by-step explanation:
You need to do the distributive property to answer this question.
Everything in the outside of the parenthesis needs to be multiplied by each number inside the parenthesis.
Hope this helps you!
Answer:
(3 ^2 x 2x^ 4 y^2 )
Step-by-step explanation:
a set of five distinct positive integers has a mean of 1000 and a median of 100. what is the largest possible integer that could be included in the set?
The largest possible integer or maximum value that could be included in the set is 4897.
The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This usually means average.
The median is the middle value of the list ordered from smallest to largest.
Mode is the most frequently occurring value in the list.
Numbers x1,x2,x3,x4 and x5 (these are in numerical order.)
We know that (x1+x2+x3+x4+x5) / 5 = 1000. This is equivalent to x1+x2+x3+x4+x5 = 5000.
Also, the median of (x1,x2,x3,x4,x5) is (x3) = 100. So x3=100.
x1+x2+100+x4+x5=5000
x1+x2+x4+x5=4900
Since x1, x2,x4 are positive,
The maximum value of x5 is 4897.
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if spur gear system has a driver gear with 100 teeth and rotates at a speed of 10 RPM and is meshed with a driven gear of 20 teeth, then the driven gear will rotate at a speed of:
A. 200 RPM
B. 100 RPM
C. 50 RPM
D. 20 RPM
E. none of the above
100 teeth / 20 teeth = 5
5 x 10 rpm = 50 rpm
answer: 50 rpm
you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake
The number of people are 72.
What is HCF?Highest Common Factor is the full name for HCF in mathematics.
According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.
What is LCM?Least Common Multiple is the full name for LCM in mathematics.
LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.
We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.
Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.
We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:
288 / x² = (16*18) / x² = 288 / x²
Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.
As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.
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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
What is area?A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.
To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.
The total area of the cake is:
16 inches x 18 inches = 288 square inches
To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:
√(288 square inches) ≈ 16.97 inches
Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:
Each piece of cake will be approximately 16 inches by 16 inches.
To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:
288 square inches ÷ (16 inches x 16 inches) = 18
Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
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1. calculate the theoretical yield of the solid precipitate. show your work.
The Theoretical yield of solid precipitate is 1.42g/mol
Now, consider solid precipitate as cacl2
let us take the mass of cacl2 and calculate the moles of cacl2.
Mass of CaCl2 =2.0 g
By, default the molar mass of CaCl2 =110.98 g/mol
To calculate the Moles we have a formula:
Moles=Given mass*1 mol/Molar mass of a precipitate.-----(1)
substitute the values in equation (1)
Moles of CaCl2 =2.0 g * 1 mol/110.98g
= 0.018 mol
Take another solid precipitate:
Mass of K2Co3=2.0 g
The molar mass of K2Co3 =138.205 g/mol
Now calculating the moles of K2Co3
substitute the values in equation(1)
Moles of K2Co3 =2.0 g * 1 mol/ 138.205g
=0.0145 moles
According to balanced equation 1mole of CaCl2 reacts with 1 mole of K2CO
Thus, 0.018 moles of CaCl2 will react with 0.018 moles of K2CO3
And,0.0145 moles of K2CO3 will produce 0.0145 moles of CaCO3
Molar mass of CaCO3 =100.0869 g/mol
Theoretical yield of CaCO3 =moles of CaCO3 *molar mass of CaCO3
=0.0145 moles * 100.0869 g/mol
=1.45g/mol
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In parallelogram ABCD, AB = 14cm. The altitude corresponding to AB is 6 cm and the altitude corresponding to BC is 7 cm. Find AD.
If in parallelogram ABCD, AB = 14cm. The altitude corresponding to AB is 6 cm and the altitude corresponding to BC is 7 cm. The AD is 8.57.
How to find AD?Given data:
AB= 14cm
Altitude corresponding AB =6cm
Altitude corresponding to BC =7cm
So,
1/2 × AB × altitude 1 = 1/2 × AD × altitude 2
AB × altitude 1 =AD × Altitude 2
10 × 6 = AD × 7
60 = AD × 7
AD = 60/7
AD = 8.57
Therefore we can conclude that AD is 8.57.
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an analyst believes that long-distance running reduces muscle mass. she collects data on subjects (pounds of muscle mass, hours of running per week, and calories consumed per week) and performs a regression. here are the results: coefficient standard error intercept 50 2.23 running -3.5 0.56 calories 0.89 0.44 is the running variable statistically significant?
The running variable in the regression analysis is statistically significant, indicating that long-distance running has a significant impact on reducing muscle mass.
To determine if a variable is statistically significant, we look at its coefficient and the corresponding standard error. The coefficient represents the estimated effect of the variable on the outcome (muscle mass in this case), while the standard error measures the uncertainty or variability in that estimate.
In this case, the coefficient for the running variable is -3.5, indicating that for each additional hour of running per week, there is an estimated decrease of 3.5 pounds of muscle mass. The standard error for the running variable is 0.56, which indicates the precision of the coefficient estimate.
To assess whether the coefficient is statistically significant, we compare it to the standard error. A common approach is to calculate the t-statistic, which is the coefficient divided by the standard error. If the absolute value of the t-statistic is larger than a critical value (e.g., 1.96 for a 95% confidence level), we can conclude that the coefficient is statistically significant.
In this case, we would need to calculate the t-statistic by dividing the coefficient (-3.5) by the standard error (0.56). If the resulting t-statistic is larger than the critical value, we can conclude that the running variable is statistically significant.
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7x+11 >5x-5 Can someone helpp
Answer:
x>-8
Step-by-step explanation:
7x+11>5x-5
2x+11>-5
2x>-16
x>-8
the > sign acts like an equal sign :)
Answer:
\( x > - 8\)
Step-by-step explanation:
\(7x + 11 > 5x - 5 \\ 7x - 5x > - 11 - 5 \\ 2x > - 16 \\ x > - 8\)
Find the prime factorization of 32. Write in exponential form.
thank you !!!
Answer:
2 exponent is 5
Step-by-step explanation:
5
so 2
This is for my son what is the answer to this problem Latisha has 60 stickers she wants to give the same number of stickers to 10 of her friends. How many stickers will she give to each friend?
Answer:
6
Step-by-step explanation:
Plz answer my question
Marco has two bags of candy. One bag contains three red lollipops and
2 green lollipops. The other bag contains four purple lollipops and five blue
lollipops. One piece of candy is drawn from each bag. What is the probability
of choosing a green lollipop and a purple lollipop?
The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45
We have to given that;
One bag contains 3 red lollipops and 2 green lollipops.
And, The other bag contains four purple lollipops and five blue lollipops.
Hence, The probability of choosing a green lollipop is,
P₁ = 2 / 5
And, The probability of choosing a purple lollipop is,
P₂ = 4 / 9
Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,
P = P₁ × P₂
P = 2/5 × 4/9
P = 8/45
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a newsstand has ordered four copies of a certain issue of a travel magazine. suppose that the number of individuals who come in to purchase this magazine follows a poisson distribution with a mean of 2.5. what is the probability that the newsstand has enough copies for every person who comes to purchase the magazine?
The probability that the newsstand has enough copies for every person who comes to purchase the magazine is given by the Poisson distribution. The Poisson distribution states that the probability of having exactly k customers in a certain time interval is given by the formula: P(k) = (e-μ μk) / k!, where μ is the mean number of customers. In this case, μ = 2.5, so P(4) = (e-2.5 2.54) / 4! = 0.22. Therefore, the probability that the newsstand has enough copies for every person who comes to purchase the magazine is 0.22.
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Which of the following fractions makes the number sentence true?
2/7 * _ = 2/7
A. 2/5
B. 5/2
C. 5/5
D. 4/4
Find the value of X.
Answer:
x=28
Step-by-step explanation:
90-33=57
2x+1=57
2x=56
x=28
Suppose that Tamera spent h hours sitting the dog and 2 days sitting the cats. Write an expression that shows how much she earned.
After spending h hours sitting the dog and 2 days sitting the cat, Tamara earned a total of $(7h+30)
What is a mathematical equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.
A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
What are the types of equations?
Some of the important types of equations are:Linear equationsQuadratic equationsCubic equationQuartic equationsDifferential equationsParametric equationsGiven, Tamera spent h hours sitting the dog.
As she gets paid $7 per hour petting the dog, she earns a total $(7×h), which is $7h
Also, she spent 2 days sitting the cats.
She gets paid $15 per day sitting the cats, she earns a total $(15×2), which is $30
Thus, she earns a total of $7h + $30, which is $(30+7h)
Tamara earned a total $(30+7h)
After spending h hours sitting the dog and 2 days sitting the cat, Tamara earned a total of $(7h+30)
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let dx be the linear transformation from c' [a, b] into c[a, b]. find the preimage of the function. (use c for the constant of integration.) dx(f) = 4x 2
The given linear transformation dx maps a function f(x) to its derivative, dx(f) = 4x^2. To find the preimage, we need to determine the original function f(x) that satisfies this derivative.
By integrating the derivative with respect to x, we can find the antiderivative F(x) of 4x^2. The antiderivative is obtained by reversing the process of differentiation.
The antiderivative of 4x^2 is (4/3)x^3, where (4/3) is the coefficient of the term and x^3 is the term raised to the power one higher than the exponent in the derivative. The constant of integration C is added to account for the family of functions that have the same derivative.
Therefore, the preimage of the function dx(f) = 4x^2 is F(x) = (4/3)x^3 + C, where C represents any constant value.