1. 1/6 is the probability of rolling a five on the next roll.
2. The probability of getting 5 fives in a row when rolling a single die is 1/7776 .
3. 1/38 is he probability of 7 coming up on the very next spin is
4. 1/54782 is the probability of getting three 7's in a row on a roulette wheel.
5. (1/10)⁶ is the probability of getting a 1 on all six trials.
6. 1/36 is the probability of getting a pair of sixes when rolling a pair of dice is
7. The probability of getting any pair is 1/6
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
1. The probability of rolling a five on a single roll of a fair die is 1/6, since there are six equally likely outcomes: rolling a 1, 2, 3, 4, 5, or 6.
the probability of rolling a five on the next roll is still 1/6, regardless of whether the previous rolls resulted in four fives in a row or not.
2. The probability of getting a five on a single roll of a fair die is 1/6, as there are six equally likely outcomes.
the probability of getting 5 fives in a row when rolling a single die is:
(1/6) × (1/6) × (1/6) × (1/6) × (1/6) = 1/7776
3. The probability of any particular number coming up on a single spin of an American roulette wheel with 38 numbers is 1/38, since there are 38 equally likely outcomes.
As these are independent , the probability of 7 coming up on the very next spin is still 1/38.
4. The probability of getting three 7's in a row on a roulette wheel is:
(1/38) × (1/38) × (1/38) = 1/54,872
5. The probability of generating a 1 on a single trial is 1/10.
The probability of getting a 1 on a single trial by itself six times
(1/10) × (1/10) × (1/10) × (1/10) × (1/10) × (1/10) = (1/10)⁶
The probability of getting a 1 on all six trials is (1/10)⁶
6.
The probability of getting a pair of sixes when rolling a pair of dice is:
1/36
7.
The probability of getting any pair when rolling a pair of dice is:
Number of ways to get a pair / Total number of possible outcomes
= 6 / 36
= 1 / 6
So the probability of getting any pair is 1/6
Hence,
1. The probability of rolling a five on the next roll is 1/6.
2. 1/7776 is the probability of getting 5 fives in a row when rolling a single die.
3. The probability of 7 coming up on the very next spin is 1/38.
4. The probability of getting three 7's in a row on a roulette wheel is 1/54782
5. The probability of getting a 1 on all six trials is (1/10)⁶
6. The probability of getting a pair of sixes when rolling a pair of dice is:
1/36
7. the probability of getting any pair is 1/6
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Two quadrilaterals are described
The only statement that must be based on the quadrilateral properties is; Option B: Base angles of quadrilateral Z are congruent
How to find the properties of a quadrilateral?Some of the properties of a quadrilateral are;
1) They have four vertices.
2) They have four sides.
3) The sum of all interior angles is 360°.
4) They have two diagonals.
5) A quadrilateral can be regular or irregular.
Now, from the description of Quadrilaterals T and Z, we can say that;
- The base angles of quadrilateral T are not congruent since at least one pair of parallel side is congruent.
- Base angles of quadrilateral z are congruent since opposite sides are congruent.
- Consecutive angles of quadrilateral Z are not congruent
- Opposite angles of quadrilateral T are not supplementary.
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A system of inequalities is shown.
The graph shows a dashed upward opening parabola with a vertex at negative 1 comma negative 4, with shading inside the parabola. It also shows a dashed line passing through the points negative 2 comma negative 1 and 0 comma 3, with shading above the line.
Which system is represented in the graph?
The system that is represented in the graph include:
y > x² – 2x – 3
y > 3x + 4
How to explain the graphThe study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this case, a graph consists of vertices connected by edges.
The graph shows a dashed upward opening parabola with a vertex at negative 1 comma negative 4, with shading inside the parabola. It also shows a dashed line passing through the points negative 2 comma negative 1 and 0 comma 3, with shading above the line.
This depicts y > x² – 2x – 3 and y > 3x + 4.
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Which system is represented in the graph?
y ≥ x2 – 2x – 3
y ≤ 3x + 4
y < x2 –2x – 3
y > 3x + 4
y < x2 – 2x – 3
y > 3x + 4
y > x2 – 2x – 3
y > 3x + 4
What’s the answer for this I’m not sure
Answer:
8√57/57
Step-by-step explanation:
a² + b² = c²
a² + 8² = 11²
a² + 64 = 121
a² = 57
a = √57
For angle Θ, opp = 8, adj = √57, hyp = 11.
tan Θ = opp/adj = 8/√57 = 8√57/57
carrie went running for 22 minutes and then did a series of exercises for 3 mins
Answer: Her total exercise time was 25 minutes
can someone help it’s due today
Does the following table show a proportional relationship between the variables ggg and hhh?
ggg 333 666 999
hhh 999 363636 818181
Choose 1 answer:
There is No relation between the variables ggg and hhh.
To determine if the given table shows a proportional relationship between the variables ggg and hhh, we need to check if the ratio of hhh to ggg is constant for all values of ggg.
Let's calculate the ratios of hhh to ggg for each value of ggg:
For ggg = 333, hhh/ggg = 999/333 = 3.
For ggg = 666, hhh/ggg = 363636/666 = 546.
For ggg = 999, hhh/ggg = 818181/999 = 819.
Since the ratios of hhh to ggg are not constant, the given table does not show a proportional relationship between the variables ggg and hhh.
Therefore, the answer is "No, the table does not show a proportional relationship between the variables ggg and hhh."
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Use the picture
1. If the measure of the arc is 45 degrees, what is the length of the Arc and the area of the sector?
2. If the measure of the arc is 150 degrees, what is the length of the Arc and the area of the sector?
3. If the measure of the arc is what is the length of the Arc and the area of the sector?
4. If the measure of the arc is
3 I, what is the length of the Arc and the area of the sector?
The arc length and the sector area are l = 0.25πr and A = (πr²) / 8.
What is sector?The sector is essentially a section of a circle, and it may be described using the following three criteria:
The area of a disc that is surrounded by two radii and an arc is known as a circular sector.
The circle is divided into the Main Sector and the Minor Sector by a sector.
The region with a lesser extent is referred to as the Minor Sector, whereas the territory with a larger area is referred to as the Major Sector.
The arc length is given as:
l = α/360 (2πr)
The angle is 45 degrees thus,
l = (45/360)(2πr)
l = 0.25πr
The sector area is given as:
A = α/360 (πr²)
A = 45/360 (πr²)
A = (πr²) / 8
Hence, the arc length and the sector area are l = 0.25πr and A = (πr²) / 8.
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there is a severe shortage of critical care doctors and nurses to provide intensive-care services in hospitals. to offset this shortage, many hospitals, such as emory hospital in atlanta, are using electronic intensive-care units (eicus) to help provide this care to patients (emory university news center). eicus use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as australia - can provide critical care services to patients located in remote hospitals without fully staffed icus. one of the most important metrics tracked by these eicus is the time that a patient must wait for the first video interaction between the patient and the eicu staff. consider the following sample of patient waiting times until their first video interaction with the eicu staff. click on the datafile logo to reference the data. wait time (minutes) 40 46 49 44 45 45 38 51 42 46 41 45 49 41 48 42 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 40 37 39 43 a. compute the mean waiting time for these patients (to decimals). 42.83 minutes b. compute the median waiting time (to decimals). 43 minutes c. compute the mode (to decimal). minutes d. compute the first and third quartiles (to decimals). first quartile: minutes third quartile: minutes
The mean waiting time for 40 patients is 44.10 minutes. The median waiting time is 43.5 minutes. The mode waiting time is 42 minutes.
The mean waiting time for these 40 patients is calculated by adding up all the waiting times and dividing by the number of patients, which gives:
(mean) = (46+49+40+44+45+45+38+51+45+42+46+41+41+48+42+49+49+40+43+42+41+43+42+41+55+43+42+40+42+40+49+43+44+45+61+37+49+40+42+43+43+42+41+41+55+43+42+40+42+40+49+43+44+45+61+37+43+40+37+39)/40 = 44.10
Therefore, the mean waiting time is 44.10 minutes.
To find the median waiting time, we first need to order the waiting times from lowest to highest:
37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61
We can see that there are 40 waiting times in this sample, which is an even number. The median is the average of the two middle values, which are 43 and 44. Therefore, the median waiting time is:
(median) = (43+44)/2 = 43.5
The median waiting time is 43.5 minutes.
The mode is the most common value in the data set. In this case, we can see that the waiting time of 42 minutes appears most frequently in the data set, occurring 6 times. Therefore, the mode waiting time is:
(mode) = 42
The mode waiting time is 42 minutes.
The first quartile (Q1) is the value below which 25% of the waiting times fall, and the third quartile (Q3) is the value below which 75% of the waiting times fall. To find these values, we first need to order the waiting times from lowest to highest (as we did in part b):
37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61
There are 40 waiting times in the data set, so to find the first quartile, we need to find the value below which 25% of the waiting times fall. This means we need to find the waiting time that is at the 25th percentile. We can do this by finding the index of the waiting time that is at the 25th percentile:
25th percentile = (25/100) * 40 = 10
This means that the waiting time at the 10th index in the ordered list is the value at the first quartile. In this case, the waiting time at the 10th index is 41 minutes.
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____ The given question is incorrect, the complete question is given below:
There is a severe shortage of critical care doctors and nurses to provide intensive care services in hospitals. To offset this shortage, many hospitals, such as Emory Hospital in Atlanta, are using electronic intensive care units (eICUS) to help provide this care to patients (Emory University News Center). eICUs use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as Australia - can provide critical care services to patients located in remote hospitals without fully staffed ICUs. One of the most important metrics tracked by these elcus is the time that a patient must wait for the first video interaction between the patient and the eICU staff. Consider the following sample of 40 patient waiting times until their first video interaction with the eſcu staff. Click on the datafile logo to reference the data. DATA fill Wait Time (minutes) 46 49 40 44 45 45 38 51 45 42 46 41 41 48 42 49 49 40 43 42 41 43 42 41 55 43 42 40 42 40 49 43 44 45 61 37 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 43 40 37 39 a. Compute the mean waiting time for these 40 patients (to 2 decimals). minutes b. Compute the median waiting time (to 2 decimals). minutes c. Compute the mode (to 2 decimal). minutes d. Compute the first and third quartiles (to 2 decimals). minutes First Quartile: Third Quartile: minutes.
At 10:00 am, two boys start out on their bikes to meet each other from towns located 68 miles apart. They meet at 1 pm. If one boy travels 3 miles per hour faster than the other, what was the speed of each boy?
The speed of each boy is given as follows:
Faster: 12.83 miles per hour.Slower: 9.83 miles per hour.How to define the linear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.For this problem, the parameters are given as follows:
Slope: velocity.Intercept: initial position.Hence the functions are given as follows:
vt.68 - (v - 3)t.They meet at 1 pm, which is three hours after 10 am, hence the velocity of the faster boy is obtained as follows:
3v = 68 - 3(v - 3)
3v = 68 - 3v + 9
6v = 77
v = 77/6
v = 12.83 miles per hour.
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In a bag of apples and oranges, the ratio of apples to oranges is 4:3. If the bag contains 70 apples and oranges, how many oranges are there?
A.30
B.40
C.35
D.25
Answer: None of the above
Step-by-step explanation: It's none because we need to divide the 70 apples by the 4 in the sample ratio. That's 17.5. Now, we need to multiply 3 by that. So, 17.5 * 3 = 52.5. That's equal to about 53 oranges. But, as we see that is not an answer choice. So, I believe it's none of the above.
4:3 = 53:70 (about 53)
19 ounces of canned corn for $3.61
Step-by-step explanation:
106 ounces106 ouncesThis 10 can contains 106 ounces of corn, making it ideal for foodservice operators and large gatherings.don't forget to smile today
and make brainalist
can solve the question in the picture and solve both parts
Answer:
zeroparallel to the x-axisStep-by-step explanation:
You want to know the slope of the line segment between (-4, -3) and (3, -3), and its relation to the x-axis.
SlopeThe slope of a line between two points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For the given points, the slope is ...
m = (-3 -(-3))/(3 -(-4)) = 0/7 = 0
The slope of the line segment is zero.
The line segment has the same slope as the x-axis. It is parallel to the x-axis.
__
Additional comment
The equation of the line segment is ...
y = -3 . . . for -4 ≤ x ≤ 3
The equation of the x-axis is ...
y = 0
o step by step to reduce the radical.
176
176
x
x
The solution of the expression x = √176 is x = 13.27.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
An expression,
x² = 176
Taking the square root of the equation,
x = √176
x = 13.27
Therefore, the solution is x = 13.27.
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Which measure of centre is meaningful when the data are qualitative?
A. The range
B. The mean
C. The mode
D. The median
The correct answer is C. The Mode.
What is data in math?Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.
This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.
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Suppose you obtain a $5,000 T-note with a 3% annual rate, paid semi-annually, with maturity in 5 years. How much interest will you earn?
The amount of money an account with simple interest at an annual rate of 3% would be $750 after 5 years.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
Given that deposit amount is $5,000 in an account that earns simple interest at an annual rate of 3%.
Amount = $5,000
Rate = 3%
Time = 5 years
Therefore, Simple Interest = (Principal × Rate × Time) / 100
Simple Interest = 5,000 × 3% × 5
Simple Interest = 5,000 × 3/100 × 5
Simple Interest = 750
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Question content area top
Part 1
A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique, 887 births consisted of 451 baby girls and 436 baby boys. In analyzing these results, assume that boys and girls are equally likely.
a. Find the probability of getting exactly 451 girls in 887 births.
b. Find the probability of getting 451 or more girls in 887 births. If boys and girls are equally likely, is 451 girls in 887 births unusually high?
c. Which probability is relevant for trying to determine whether the technique is effective: the result from part (a) or the result from part (b)?
d. Based on the results, does it appear that the gender-selection technique is effective?
a. The probability of getting exactly 451 girls in 887 births is 0.0578.
b. The probability of getting 451 or more girls in 887 births is 0.0478. To determine if 451 girls in 887 births is unusually high, we compare this probability to a significance level (alpha) of choice and then either reject or accept the null hypothesis.
c. The probability from part (b) is more relevant for trying to determine whether the technique is effective because it considers a range of outcomes that are consistent with the hypothesis that boys and girls are equally likely.
d. Based on the results, we can reject the hypothesis that boys and girls are equally likely and conclude that the gender-selection technique is effective in increasing the likelihood of having a girl.
What is probability?Probability is the likelihood of an event occurring or not occurring.
Mathematically;
Probability = expected outcomes/possible outcomea. To find the probability of getting exactly 451 girls in 887 births, we can use the binomial distribution with n = 887 and p = 0.5 (since boys and girls are equally likely).
The probability of getting k girls is given by the formula:
P(k girls) = (n choose k) * p^k * (1-p)^(n-k)
Plugging in the values, we get:
P(451 girls) = (887 choose 451) * 0.5^451 * 0.5^436
P(451 girls) = 0.0578 (rounded to four decimal places)
b. To find the probability of getting 451 or more girls in 887 births, we can add up the probabilities of getting 451, 452, 453, ..., up to 887 girls. The cumulative binomial distribution is used to determine the probability of getting k or fewer girls:
P(k or fewer girls) = sum((n choose i) * p^i * (1-p)^(n-i), i = 0 to k)
Since we want the probability of getting 451 or more girls, we can subtract the probability of getting 450 or fewer girls from 1:
P(451 or more girls) = 1 - P(450 or fewer girls)
= 1 - sum((887 choose i) * 0.5^i * 0.5^(887-i), i = 0 to 450)
= 0.0478
d. To determine if the gender-selection technique is effective, we need to compare the probability of getting 451 or more girls (from part (b)) to a significance level (alpha) of our choice.
Using an alpha set to 0.05, the probability of getting 451 or more girls in 887 births is 0.0478, it is less than 0.05. Therefore, we reject the hypothesis that boys and girls are equally likely and conclude that the gender-selection technique is effective in increasing the likelihood of having a girl.
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how to interperet ratios into values?
solve:
3/4 : 1/2
what is the value?
The value of the given ratio 3/4 : 1/2 is 3/2.
How to interperet ratios into values?To get the value of a ratio, we just need to take the quotient between the first and second values.
For example, the value of a:b is a/b.
In this case we have the ratio:
3/4 : 1/2
Taking the quotient we will get:
(3/4)÷(1/2) = (3/4)*(2/1) = 6/4
= 3/2
That is the value of the ratio.
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PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! :) 20 POINTS!!!
5) There are 5 slices of pepperoni pizza, 1 slice of sausage pizza, and 3 slices of cheese pizza left. Without looking, Douglas took a slice of pizza, ate it, and then took another slice.
What's the probability of Douglas eating two of the same kinds of pizza?
6) A drawer contains 10 blue pens, and 10 red pens. Without looking, Mrs. Stanton is going to take one pen from a drawer, use it, and then put it back in the drawer. Then she is going to take another pen from the drawer to use.
What's the probability Mrs. Stanton takes two red pens?
PLEASE GIVE BRAINLIEST!
thank you and have a good day :)
Answer:
5)1/12
6) 25%
Step-by-step explanation:
5)The odds of Mr Douglas eating two slices of cheese pizza can be calculated by doing 3/(5 + 1 +3) = 1/3
the second slice's odds can be calculated by doing 2/(5+1+2) = 1/4
Multiply these to get the odds of two being eaten
1/4 times 1/3 is 1/12.
6) the odds of her selecting a red pen the first time is 50%. to do it again would be another 50% chance. 50% times 50% is 25%.
Simplify the algebraic expression by combining like terms. Explain your answer or show your work.
2x + 5y + 6x - 5x+3y
Answer: 3x + 8y
Step-by-step explanation:
Combining like terms is simply adding all the terms which are similar.
2x+6x-5x= 3x
5y+3y= 8y
Hope it helps!
the weights of medium oranges packaged by an orchard are normally distributed with a mean of 14 oz and a standard deviation of 2 oz. 1 orange is randomly selected. what is the probability that this orange weighs more than 17 oz?
The probability that an orange weighs more than 17 oz is 0.1587.
The probability that an orange weighs more than 17 oz is 0.1587. This value can be calculated using the Z-score formula, which is used to calculate the probability of an event occurring. The formula is as follows:
Z = (x - μ) / σ
where x is the data point, μ is the mean, and σ is the standard deviation.
In this case, the Z-score is (17 - 14) / 2 or 1.5. We can find the probability using the Z-score table, which gives us 0.1587, the probability that an orange weighs more than 17 oz.
The Z-score formula is useful for determining the probability of an event occurring when the data follows a normal distribution. Knowing the mean and standard deviation, we can calculate the likelihood of a certain outcome occurring. In this case, the probability that an orange weighs more than 17 oz is 0.1587.
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82.6>-11.8d
What is d?
Answer:
d > - 7
Step-by-step explanation:
Swap the sides :
- 11.8d < 82.6
Then, divide both sides of the inequality by -11.8 and flip the inequality sign
in a board of directors composed of people, how many ways can one chief executive officer, one director, and one treasurer be selected?
A chairman and vice chairman are to be selected from a committee of eight people in such a way that no one treasurer individual can hold more than one position. The permutation of 8 different objects, chosen two at a time, results in the number of possible chairman selections in this situation.
[tex]^{8} P_{2} =[/tex][tex]8/8-2=8/6=8*7*6/6=8*7=56[/tex]
Cash and liquidity management, risk management, and corporate finance are among the important basic responsibilities of a corporate treasurer. The division in charge of a nation's finances, economy, and revenue is known as the treasury. Although in certain nations the treasury answers to a Secretary of the Treasury or Chancellor of the Exchequer, the treasurer is often in charge of the department. After the Prime Minister and Deputy Prime Minister, the Treasurer is a senior minister in Australia and frequently the second or third most significant member of the cabinet. Additionally, each Australian state and autonomous territory has its own treasurer.
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2. How can the term unit square help you to remember
that area is measured in square units?
When ever the area is calculated the units will have a degree of two.
What is an area?The area is defined as the space covered by any two-dimensional body. The unit if the area is calculated as square units. The square units come because the area is calculated by the two parameters of length.
The area of the rectangle is calculated by the multiplication of the two lengths like length and width.
Similarly, the area of the circle is calculated by taking the square of the radius of the circle it means that the length here is also multiplied by two times.
Therefore, the area is calculated in an square units.
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A daycare center in Burlington
currently has 8 assistant caregivers
and 5 senior caregivers. Since demand
is high, the owner is going to be hiring
3 assistant caregivers per month and
4 senior caregivers per month. Her
goal is to have a larger staff, including
an equal number of assistant
caregivers and senior caregivers. How
long will that take? How many of each
type will there be?
The number of months it will take to have same number of caregivers is 3 months .And there will be of 17 caregivers of each type.
What is an equation?
An equation is an expression with variables and constant having an equality sign. The degree of equation can be one or more than one.
We are given that initially there are 8 assistant caregivers
and 5 senior caregivers.
And the owner is going to be hiring 3 assistant caregivers per month and
4 senior caregivers per month.
Hence the number of total assistant caregivers after n months will be
3n +8
And the number of senior caregivers after n months will be 4n+ 5
To find n we equate the two
3n + 8 = 4n+5
n =3
Hence after 3 months there will be same number of assistant and senior caregivers
And the total number of assistant and senior caregivers is 3(3)+8 = 17
The number of months it will take to have same number of caregivers is 3 months .And there will be of 17 caregivers of each type.
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Factor completely.
28x³y7z² - 7xy4
Answer: 28xy(7x^2-1)
Step-by-step explanation:
28x^3yx7z^2-7x4xy
196x^3-28xy
A right triangle has acute angles c and d . If c=15/8 and sin d=8/17, what are cos d and cos c?
The value of the right triangle cos d = 15/17 and cos c = 8/17.
What are trigonometric functions?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given that, the value of tan c = 15/8 and the value of sin d = 8/17.
From the trigonometric functions we can conclude that:
Opposite side to c = 15
Adjacent side to c = 8
Hypotenuse = 17
Opposite side to d = 8
Adjacent side to d = 15
The values of cos d is:
cos d = Adjacent side to d / Hypotenuse = 15/17
cos c = Adjacent side to c / Hypotenuse = 8/17
Hence the value of the right triangle cos d = 15/17 and cos c = 8/17.
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if a data set is normally distributed what percent of the data will lie below the mean
Explanation:
The normal curve, aka bell curve, has mirror symmetry with the mean at the very center. Half of the data is below the mean, while the other half is above the mean.
About 68% of the data will lie below the mean in a normally distributed data set. This is known as the Empirical Rule, which states that if a data set is approximately normally distributed, then approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
Solve for y
x-3/2y=-12
The equation x-3/ 2y=-12 when solved for the variable y is y = x-3/-24
How to solve for the variableWe have to make 'y' the subject from the equation, we have;
x-3/2y=-12
By solving for the variable, we need to work it out.
Also, we have to make it stand alone on one end of the equality sign.
cross multiply the values
x - 3(1) = -12(2y)
multiply the values
x-3 = -24y
Make 'y' the subject by dividing both sides by the coefficient of y
y = x-3/-24
Hence, the equation is y = x-3/-24
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What’s the slope of a line perpendicular to 3x-5y=45
Answer:
-5/3.
Step-by-step explanation:
To find the slope of a line perpendicular to another line, we need to remember that the slopes of two perpendicular lines are negative reciprocals of each other. To find the slope of the line perpendicular to 3x - 5y = 45, we need to first convert it to slope-intercept form, which is y = mx + b, where m is the slope of the line.
First, isolate the y-term:
3x - 5y = 45
5y = -3x + 45
y = -(3/5)x + 9
So the slope of the original line is -3/5. The slope of the line perpendicular to it would be the negative reciprocal of this slope, which is -5/3.
Therefore, the slope of a line perpendicular to 3x - 5y = 45 is -5/3.
Answer:
3/5
Step-by-step explanation:
The product of m and n divided by three times their different
The expression "The product of m and n divided by three times their difference" can be written as (m * n) / (3 * (m - n)).
Let's break this down:
"The product of m and n" means you multiply m by n, which is written as "m * n".
"Divided by" means you divide the product by something else. In this case, we're dividing by "three times their difference".
"Their difference" refers to the difference between m and n, which is written as "m - n".
"Three times their difference" means you multiply the difference by 3, which is written as "3 * (m - n)".
So, putting it all together, we have:
(m * n) / (3 * (m - n))
This expression represents the product of m and n, divided by three times their difference.
It's important to note that this expression is undefined when m = n, because in that case, the denominator (3 * (m - n)) would be equal to zero. Division by zero is undefined, so we cannot evaluate the expression when m = n.
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