26 x 3 = 78 because 26 + 26 + 26 = 78
15 cm equals_____ mm
Answer:
I the answer would be 150 millimeters.
=================================================
Work Shown:
1 cm = 10 mm
15*(1 cm) = 15*(10 mm) ...... multiplying both sides by 15
15 cm = 150 mm
What is 9.4582 rounded to 1?
Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.
I hope this helps
Write a olution that contain ax2=y and ha no olution when a=4 and one olution otherwie
The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.
We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.
According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by
x = (-b +/- √(b² - 4ac)) / (2a)
In this formula, if we add "ax² = y," we obtain
x = (-0 +/- √(0² - 4ay)) / (2a)
which simplifies to
x = √(-4ay) / (2a)
If a = 4, the equation becomes
x = √(-16y) / 8
The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.
The equation has a single solution provided by any other value of a.
x = √(-4ay) / (2a)
For example, if a = 3, the equation becomes
x = √(-12y) / 6
Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.
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What is the length of segment AC?
The y difference of the 2 lines are 6(you can just count these)
The x difference of the 2 lines are 8(again you can count this)
Now calculate distance using distance formula (the pythag theorem)
sqrt(6^2+8^2)=sqrt 100= 10
Therefore the distance of AC is 10.
HELP ME ASAP I NEED HELP
Answer:
distance = 7.07 units
Step-by-step explanation:
x difference = 7
y difference = -1
using the Pythagorean theorem:
7² + -1² = d²
d² = 49 + 1 = 50
d = 7.07
Answer:
7.1
Step-by-step explanation:
distance between the x is 7 and y is 1
And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2
c=50
and take the square root, which is 7.071, rounds to 7.1
If the price of 3 apples is $1.95, what is the price of 14 apples?
O $6.50
O $7.80
O $9.10
O $9.75
Answer:
$9.10
Step-by-step explanation:
Answer:
9.10
Step-by-step explanation:
1.95/3=0.65
0.65x14=9.10
The table and graph below show the amount of money Mi-Ling and Daniel
save each week. Who saves more each week? Explain
a randomly selected card from a standard 52-card deck is noted. the card is then replaced, the deck is shuffled, and a second card is selected and noted. what is the probability that both cards are hearts?
The probability that both the cards are hearts is 1/16.
Given that:-
Total number of cards in a standard deck of cards = 52
A card is randomly selected from a standard 52-card deck and noted. The card is then replaced, the deck is shuffled, and a second card is selected and noted.
We have to find the probability that both the cards are hearts.
We know that,
Number of hearts in a standard 52 deck of cards = 13
Hence,
Probability of selecting a heart card = 13/52 = 1/4
After shuffling,
Probability of selecting a heart card = 13/52 = 1/4
Hence,
Probability that both the cards are hearts = (1/4)*(1/4) = 1/16.
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major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a certain year in the past. suppose a sample of 100 major league players was taken. find the approximate probability that the mean salary of the 100 players exceeded $3.4 million.
The probability that the mean salary of the 100 players exceeded $3.4 million is 0.121
We can use the central limit theorem to approximate the probability of the mean salary of the 100 players exceeding $3.4 million. According to the central limit theorem, the sample mean of a sufficiently large sample size (n>30) will be normally distributed regardless of the underlying distribution of the population.
The mean of the sample means is equal to the population mean, which is $3.26 million. The standard deviation of the sample means, also known as the standard error of the mean, is calculated by dividing the population standard deviation by the square root of the sample size
standard error of the mean = population standard deviation / √(sample size)
standard error of the mean = $1.2 million / √(100)
standard error of the mean = $0.12 million
To find the probability that the mean salary of the 100 players exceeded $3.4 million, we need to standardize the sample mean using the standard error of the mean
z = (sample mean - population mean) / standard error of the mean
z = ($3.4 million - $3.26 million) / $0.12 million
z = 1.17
Using a standard normal distribution table or calculator, we can find that the probability of a z-score of 1.17 or higher is approximately 0.121
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Which is the value of this expression when a=5 and k=-2 (3^2a^-2/3a^-1)^k
Answer:
Step-by-step explanation:
so by the power of a power rule we know that when you raise a power to another power you have to multiply the powers.
so i my oponion it would be 3 to the 10th* -2/15*-1= 10 times 2/15*-2
which in my oponion should be 3 to the negative 4/15
HELPP PLSSSSSSSSSS i would really appreciate it
Applying exponential properties, we have that the solution to the given expression is:
\(-\frac{125}{343}\)
How do we proceed when a fraction is elevated to the exponent?When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.
In this problem, we have that:
The numerator is of 5, hence 5³ = 125.The denominator is of 7, hence 7³ = 343.Negative base with odd exponent, hence the solution is negative and given as follows:
\(-\frac{125}{343}\)
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WHAT IS THE GRADIENT OF THE BLUE LINE?? NEED HELP URGENTLY
Answer:
gradient = - \(\frac{1}{4}\)
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = \(\frac{1-2}{3-(-1)}\) = \(\frac{-1}{3+1}\) = - \(\frac{1}{4}\)
no angle given how do i solve
Answer:
the square means those to lines make a 90 degree angle aka. right angle
Step-by-step explanation:
Answer:
Sine of x = \(\frac{\sqrt{288} }{18}\)
Cos of x = 6 / 18
Step-by-step explanation:
To solve this:
We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle:
\(a^{2} + b^{2} = c^{2}\)
In any right angled triangle, for any angle:
The sine of the angle = the length of the opposite side / the length of the hypotenuse
The cosine of the angle = the length of the adjacent side / the length of the hypotenuse
In this right triangle, we know the opposite side is \(\sqrt{288}\), the adjacent side is 6, and the hypotenuse is 18
So to find the sine of x, we would do \(\frac{\sqrt{288} }{18}\)
And to find the cos of x, we would do 6 / 18
Hope this helps!! Pls mark as brainliest, ty.
What is 3x+y=-3 and 3x+y=-4
Answer:
The equations 3x+y=-3 and 3x+y=-4 are both linear equations in the standard form. The standard form of a linear equation is ax+by=c, where a and b are coefficients, and c is the constant term.
Step-by-step explanation:
1. a five card hand is dealt at random from a standard deck. find the probability of having a) exactly 2 red cards b) exactly 2 red cards given that at least one card is a red. c) exactly 2 red cards given that at least one card is a diamond.
The probability of getting exactly 2 red cards was found to be approximately 49%. The probability of getting exactly 2 red cards given that at least one card is red was approximately 49%. The probability of getting exactly 2 red cards given that at least one card is a diamond was approximately 29.2%.
There are 52 cards in a standard deck, of which 26 are red cards (13 hearts and 13 diamonds) and 13 are diamonds.
To find the probability of getting exactly 2 red cards, we can use the combination formula to count the number of ways to choose 2 red cards from 26, and then the number of ways to choose the remaining 3 cards from the 26 black cards:
P(exactly 2 red cards) = [C(26, 2) x C(26, 3)] / C(52, 5)
= [(26! / (2! x 24!)) x (26! / (3! x 23!))] / (52! / (5! x 47!))
= 0.4887 or approximately 49%
Therefore, the probability of getting exactly 2 red cards in a five card hand is approximately 49%.
To find the probability of getting exactly 2 red cards given that at least one card is red, we can use Bayes' theorem:
P(exactly 2 red cards | at least one red card) = P(at least one red card | exactly 2 red cards) x P(exactly 2 red cards) / P(at least one red card)
We already calculated P(exactly 2 red cards) in part (a). To find P(at least one red card), we can use the complement rule:
P(at least one red card) = 1 - P(no red cards)
= 1 - [C(26, 0) x C(26, 5)] / C(52, 5)
= 1 - (1 / 2,598,960)
= 0.9996
To find P(at least one red card | exactly 2 red cards), we can see that if there are exactly 2 red cards, then the remaining 3 cards must all be black. Therefore:
P(at least one red card | exactly 2 red cards) = 1
Substituting these values into Bayes' theorem:
P(exactly 2 red cards | at least one red card) = (1 x 0.4887) / 0.9996
= 0.4893 or approximately 49%
Therefore, the probability of getting exactly 2 red cards given that at least one card is red is approximately 49%.
To find the probability of getting exactly 2 red cards given that at least one card is a diamond, we can again use Bayes' theorem:
P(exactly 2 red cards | at least one diamond) = P(at least one diamond | exactly 2 red cards) x P(exactly 2 red cards) / P(at least one diamond)
To find P(at least one diamond), we can use the complement rule:
P(at least one diamond) = 1 - P(no diamond)
= 1 - [C(39, 5) / C(52, 5)]
= 0.342 or approximately 34.2%
To find P(at least one diamond | exactly 2 red cards), we can see that if there are exactly 2 red cards, then the remaining 3 cards can be any of the 24 remaining diamonds or the 26 black cards. Therefore:
P(at least one diamond | exactly 2 red cards) = [C(24, 3) + C(26, 3)] / C(50, 3)
= 0.205 or approximately 20.5%
Substituting these values into Bayes' theorem:
P(exactly 2 red cards | at least one diamond) = P(at least one diamond | exactly 2 red cards) x P(exactly 2 red cards) / P(at least one diamond)
= (0.205 x 0.4887) / 0.342
= 0.292 or approximately 29.2%
Therefore, the probability of getting exactly 2 red cards given that at least one card is a diamond is approximately 29.2%.
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At a town meeting, the ratio of dark-haired people to blond-haired people to red-haired people is 42 : 37 : 3. If there are 1,312 people at the meeting, how many have each color hair?
Answer:
672 had dark hair, 592 had blond hair, and 48 had red hair
Step-by-step explanation:
To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.
Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:
42 + 37 + 3 = 82
We can then divide 1,312 by 82 to get the scaling factor:
1,312 ÷ 82 = 16
This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.
To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:
Dark-haired people: 42 × 16 = 672
Blond-haired people: 37 × 16 = 592
Red-haired people: 3 × 16 = 48
Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.
A sample of phosphorus-32 has a half-life of 14.28 days.
If 55 g of this radioisotope remain unchanged after approximately 57 days, what was the mass of the original sample?
:
Using the radioactive decay formula: A = Ao*2^(-t/h), where
A = resulting amt after t time
Ao = initial amt (t=0)
t = time
h = half-life of substance
The mass of the original sample of phosphorus-32 was approximately 717.7 grams.
To solve this problem, we can use the radioactive decay formula:
A = Ao * 2^(-t/h)
Where:
A = resulting amount after time t
Ao = initial amount (at t=0)
t = time
h = half-life of the substance
In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.
After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:
55 = Ao * 2^(-57/14.28)
To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):
55 / 2^(-57/14.28) = Ao
Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.
Therefore, the initial mass, Ao, is:
Ao = 55 / 0.07666 ≈ 717.7 g
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Which equation represents the yearly cost for a nonmeber at the same video game arcade based on the total number of game tokens purchased in a year
Answer: c) y=1/5x
Step-by-step explanation: took da test
Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1 x = 2 y w y minus 2 x = 4 y w 2 y minus 2
The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
According to the given question.
We have an equation
2x + 2/y = 4w + 2
Since, we have to find the value of x for the given equation
2x + 2/y = 4w + 2
Thereofore,
2x + 2/y = 4w + 2
⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)
⇒ (x + 1)/y = 2w + 1
⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)
⇒ x + 1 = 2yw + y
⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)
Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
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Help please! What is the correct answer and how do I solve for R?
Young people respond more favorably to literature that reflects their cultural customs.
Which one of the following alternatives most accurately describes ethnic and cultural differences in children's reading development?
Young people respond more favorably to literature that reflects their cultural customs, and this is because of the importance of cultural background in children’s reading development. Ethnic and cultural differences play an essential role in the children's reading development.
Children's cultural and ethnic background has a considerable impact on their learning, and thus the type of literature they respond to. Children tend to read more when they find that the stories and books reflect their cultural customs and identity. This enhances their literacy and reading skills, which in turn leads to an increased interest in reading and a better understanding of what they are reading.
Cultural diversity can help children become more empathetic and accepting of differences, and can help them to learn about new cultures. Therefore, it is crucial to provide children with access to a range of culturally diverse literature to help them understand the experiences of others. Children learn more effectively when they can make connections between what they are learning and their own experiences.
In conclusion, children's reading development is influenced by their ethnic and cultural background. Young people respond more favorably to literature that reflects their cultural customs, which can help them to become more empathetic and accepting of differences, as well as develop their literacy and reading skills. Therefore, it is essential to provide children with a range of culturally diverse literature to help them learn about new cultures and understand the experiences of others.
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Find the value of P(10) so that the following is a valid probability distribution. X
5
10
20
30
40
50
P(X)
0. 13
______
0. 11
0. 14
0. 21
0. 3
The value of P(10) is 0.11 to ensure that the given distribution is a valid probability distribution.
To determine the value of P(10) so that the given distribution is valid, we need to ensure that the sum of all the probabilities equals 1.
Given:
X: 5, 10, 20, 30, 40, 50
P(X): 0.13, P(10), 0.11, 0.14, 0.21, 0.3
We know that the sum of the probabilities should be equal to 1.
Sum of probabilities = 0.13 + P(10) + 0.11 + 0.14 + 0.21 + 0.3
To find the value of P(10), we can set up the equation:
0.13 + P(10) + 0.11 + 0.14 + 0.21 + 0.3 = 1
Simplifying the equation:
P(10) + 0.89 = 1
Subtracting 0.89 from both sides:
P(10) = 1 - 0.89
P(10) = 0.11
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help please- I need the answer ASAP
please help me solve this asap
Answer:
B. Falls
Step-by-step explanation:
A budget estimator predicts that a family of 4 will need $18,946 per
year to support the first person and $4,437 to support each additional
person. If Natalia works 38 hours per week for 50 weeks per year,
what is her minimum hourly wage to support her family of 4? (Round
your answer to the nearest cent.)
Answer:
$17 per hour
Step-by-step explanation:
Given,
The amount required to support first-person is $18,946 per year.
The amount required to support each additional person is $4,437 per year.
So, The amount required to support 3 additional people = $13,311
Total amount required to support 4 people = $18,946 + $13,311
= $ 32,257
Total number of hours Natalia works in a year = 38×50
= 1900 hours
The minimum required hourly wage for Natalia =
total yearly expenses÷ total working hours in a year
$32,257 ÷ 1900 = $16.97 per hour
≈$17 per hour
Natalia's minimum hourly wage to support her family of 4 is $17.00/hour.
To solve this problemWe must first assess the total annual cost of supporting the family in order to determine Natalia's minimum hourly income to support her family of four.
The budget estimator estimates that it will cost $18,946 per year to support the first person and $4,437 per year to sustain each additional person. Natalia has a total of four family members, so her total yearly support expenses would be as follows:
$18,946 + ($4,437 x 3) = $32,257
The annual salary of Natalia must then be determined based on her working hours. She would put in the following number of hours if she worked 38 hours per week for 50 weeks in a year:
38 hours per week x 50 weeks in a year = 1,900 hours.
By dividing the entire annual cost of providing for her family by the number of hours she works per year, we can determine her minimum hourly wage:
1,900 hours / $32,257 = $17.00/hour.
Therefore, Natalia's minimum hourly wage to support her family of 4 is $17.00/hour.
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John has a swimming pool filled with 400 gallons of water. the water is draining at a rate of 0.35 gallons per minute. the function f(x)=400-0.35x can be used to determine the amount of water remaining from 0 to 5 minutes. what is the range of the function for this situation?
The range of the function for this situation is the interval [398.25, 400] gallons.
To determine the range of the function f(x) = 400 - 0.35x for the given situation, we need to find the possible values of the amount of water remaining in the pool.
The function f(x) represents the amount of water remaining (in gallons) after x minutes, where x ranges from 0 to 5.
To find the range of the function, we evaluate f(x) for the extreme values of x in the given range (0 to 5).
For x = 0, the initial amount of water remaining:
f(0) = 400 - 0.35(0) = 400 gallons
For x = 5, the amount of water remaining after 5 minutes:
f(5) = 400 - 0.35(5) = 400 - 1.75 = 398.25 gallons
Therefore, the range of the function for this situation is the interval [398.25, 400] gallons.
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You are playing a game that uses two fair number cubes. If the total on the number cubes is either 8 or 5 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
PLease help!!!
The probability of winning the game is the likelihood of winning the game
The probability of winning on your next turn is 25%
How to determine the probabilityThe sample size of the two number cubes, when rolled is:
n = 36
The number of outcomes that give a sum of 5 or 8 is 9,
And the outcomes are (2,3) (3,2) (1,4) (4,1) (6,2) (5,3) (4,4) (3,5) and (2,6)
The probability is the quotient of the number of outcomes of the sum of 5 or 8 and the total outcomes.
So, we have:
\(p = \frac{9}{36}\)
Divide
\(p = 0.25\)
Express as percentage
\(p = 25\%\)
Hence, the probability of winning on your next turn is 25%
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When 9 is subtracted from a number and then divided by 2, the answer is
4. What is the number?
Answer:
your asking what is 9+x÷2? do you know what x is?
Step-by-step explanation:
I think it would be 4.5+x I'm a little confused. sorry I hope this helped!
The given point -7,-2 reflected over the y axis
Answer:
(7, -2)
Step-by-step explanation:
visualize
A psychologist finds that scores on an integrity test predict scores on the number of absences of employees from work. First he obtains the mean integrity score = 20.57 with a standard deviation of 5.22 of all the employees at a large manufacturing company. He also obtains information about absences for all the employees at this firm. He finds that the mean number of absences is 2.44 with a standard deviation of 1.72. He also computes the correlation between score on the integrity test and number of absences and finds a correlation coefficient of r = -.37. The psychologist wants to develop a regression equation so that by knowing an employee’s integrity score, he will be able to predict the number of absences this employee may have for the following year.
What is the slope of this regression line?
The slope of the regression line is -0.122.
He finds that the mean number of absences is 2.44
With a standard deviation of 1.72.
He also computes the correlation between score on the integrity test and number of absences and finds a correlation coefficient of r = -.37.
The psychologist wants to develop a regression equation so that by knowing an employee’s integrity score,
He will be able to predict the number of absences this employee may have for the following year
To find the slope of the regression line,
we can use the following formula,
⇒ slope (b) = r x (SDy / SDx)
Where r is the correlation coefficient,
SDy is the standard deviation of the dependent variable (number of absences),
And SDx is the standard deviation of the independent variable (integrity score).
put the given values, we get,
⇒ b = -0.37 x (1.72 / 5.22)
⇒ b = -0.122
Therefore, the slope of the regression line is -0.122.
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