What is 110% of 70

Answer:

The lowest score was 80, because no student had gotten that grade.

7 students scored higher than 85.

The highest score there was, was 70, cause 4 student got that for a grade.

The range is 3, because the highest amount of studnets was 4 and the lowest was 1.

4 - 1 = 3

Step-by-step explanation:

Hope this helps! =D

The probability that the spinner lands on orange is P ( O ) = 1/4 = 25 %

We have,

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

The total number of sides for the spinner = 4

Since the spinner is divided into 4 equal sections, each section has an equal chance of being landed on

Therefore, the probability of spinning orange is 1 out of 4, or 1/4, which is equivalent to 25%

We can express this probability as:

P(orange) = 1/4

Hence , the probability that Josh spins orange is 1/4 or 25%

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People hate their jobs, want to get away from them, and hate having to be responsible, claims Theory X. People are independent and appreciate having obligations placed on them, claims Theory Y.

Theories of human labor motivation and management include Theory X and Theory Y.

They were invented by Douglas McGregor in the 1950s while he was a faculty member at the MIT Sloan School of Management, and they underwent further development in the 1960s.

Consider work a natural part of life, and come up with creative solutions for workplace issues.

According to Theory X, individuals despise their jobs, desire to escape them, and detest having to be accountable.

According to Theory Y, people are self-driven and enjoy having responsibilities placed on them.

Therefore, people hate their jobs, want to get away from them, and hate having to be responsible, claims Theory X. People are independent and appreciate having obligations placed on them, claims Theory Y.

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Answer:

The shortest driving distance between stadium and high schools is 5.831 units.

The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4

\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5

\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls. The calculation results in approximately 0.369, or 36.9%.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

[P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

[P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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Answer:

y=4/5x+1

Step-by-step explanation:

y=mx+b

m = slope = 4/5

b = y-intercept= 1

y=4/5x+1

Answer:

A, Standard Deviation, Lowest

Step-by-step explanation:

I got it right lol

The members of gym A show the most consistency in the number of hours they exercised last week because the standard deviation of this data set is the lowest.

"The mean is one of the measures of central tendency. Mean is nothing but the average of the given set of values."

"The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."

Given, Gym A has the lowest value of SD = 2.9, Gym C has the second lowest vale of SD = 3.2 and Gym B has the highest value of SD = 4.2.

We know, standard deviation is measured with the help of the differences of a group of data and the mean.

Therefore, more the standard deviation is less, the data will be more consistent.

Therefore, Gym A has shown the more consistency in terms of number of hours exercised last week.

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Summary: To compute the side slope of the given cross sections, determine the value of X at station 10+200, and calculate the volume between stations 10+100 and 10+200 using end area with prismoidal correction.

a) To compute the side slope of both sections, the given cross section notes provide the information "6.45 L" and "4.50 R." The "L" and "R" represent the left and right slopes, respectively. The side slope is expressed as a ratio of vertical to horizontal distance. For example, a 6.45:1 side slope means that for every 6.45 units of vertical rise or fall, there is 1 unit of horizontal distance.

b) To determine the value of X at station 10+200, additional information is needed. X represents the distance from the station to a specific point on the cross section. Without more details, it is not possible to calculate the specific value of X at station 10+200.

c) To compute the volume between stations 10+100 and 10+200 using end area with prismoidal correction, you need the cross-sectional areas at both stations. Given the cross-sectional area of 14.64 m^2 at station 10+200, you would also require the cross-sectional area at station 10+100. With these areas, the distance between the stations, and the appropriate formulas, you can calculate the volume of earthwork between the two stations, accounting for the prismoidal correction.

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They are the three methods of mean -  Direct Method. Assumed Mean Method. Step-deviation Method.

What does the mode mean?

By summing all the numbers in a data collection and dividing by the total number of values in the set, the mean (average) of the data set can be determined.

              A data collection is ordered from least to largest, and the median is the midpoint number. A data set's mode is the number that appears the most frequently.

What are the mean, median, and example?

The most frequent number, or the one that happens the most frequently, is known as the mode.

                    Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

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Let

y -----> candle heigh in centimeters

x ----> burning time in hours

In this problem we have the ordered pairs

(5,22.5) and (17,16.5)

step 1

Find out the slope

m=(16.5-22.5)/(17-5)

m=-6/12

m=-1/2 -----> is negative because is a decreasing function

step 2

Find out the equation in slope-intercept form

y=mx+b

we have

m=-1/2

point (5,22.5)

substitute

22.5=-(1/2)(5)+b

solve for b

b=22.5+2.5

b=25

therefore

y=-(1/2)x+25

step 3

For x=7 hours

substitute in the equation

y=-(1/2)(7)+25

y=-3.5+25

Answer: True

Step-by-step explanation: Because all your doing is flipping it

The best statistic for describing the center of this distribution would be the mean. The mean is calculated by summing up all the values in the dataset and dividing by the total number of values.

In this case, finding the mean of the ages of the students would give a single value that represents the center of the distribution. The mean is a commonly used measure of central tendency and is appropriate for data that is normally distributed or approximately so. However, if the distribution is skewed or has extreme outliers, the median might be a better measure of center.

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Therefore, the length of the box is x+6 = 10 inches, the width of the box is x-2 = 2 inches, and the height of the box is x-1 = 3 inches. Thus, the dimensions of the box are 10 inches by 2 inches by 3 inches.

a) The volume of a rectangular prism is given by multiplying its length, width, and height. Thus, the polynomial that represents the volume of the given box is:

\(V(x) = (x+6)(x-2)(x-1)\)

Expanding this expression, we get:

\(V(x) = x^3 + 3x^2 - 13x - 12\)

Therefore, the polynomial that represents the volume of the box is V(x) = \(x^3 + 3x^2 - 13x - 12.\)

b) We are given that the volume of the box is 60 cubic inches. We can set up an equation by equating the polynomial V(x) to 60 and solving for x:

\(x^3 + 3x^2 - 13x - 12 = 60\)

Simplifying this equation, we get:

\(x^3 + 3x^2 - 13x - 72 = 0\)

We can use either long division or synthetic division to find the roots of this equation. Using synthetic division, we can divide by x-4 and get:

4 | 1 3 -13 -72

|___4 28 60

1 7 15 0

Therefore, the roots of the equation are x = -5, x = -1, and x = 4. However, we can discard the negative roots since they don't make sense in the context of the problem.

Therefore, the length of the box is x+6 = 10 inches, the width of the box is x-2 = 2 inches, and the height of the box is x-1 = 3 inches. Thus, the dimensions of the box are 10 inches by 2 inches by 3 inches.

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Answer:

16m²

Just find the volume by multiplying the length, width, and height

Step-by-step explanation:

Answer:

8X

Step-by-step explanation:

it says the product, which is multiplication

of a number (lets call it X) and 8

so its 8*X

Answer:

8x

Step-by-step explanation:

it says the product, which is basically multiplication  of a number (which lets call X) and 8

so its 8*X

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                      PEACE!

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Answer:

18in of rapping paper

Step-by-step explanation:

a rubics cube has 6 sides so 6x3=18

The laboratory values that are expected with a musculoskeletal complication associated with the presentation include elevated creatinine phosphokinase (Option A).

Elevated creatinine phosphokinase level values are generally observed in individuals who suffered damage in the muscle tissues, which is due to the increase in the concentration levels of this enzyme.

Elevated creatinine phosphokinase level values are associated with the functioning of this enzyme which is mainly associated with the functioning of muscle skeletal cells as well as the brain and the heart in the body (heart muscles).

Therefore, with this data, we can see that elevated creatinine phosphokinase level values are associated with complications and or damage of the muscle cells because this protein is mainly observed in these types of cells as well as in the brain of normal individuals.

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Complete question is below

A patient is found lying on the floor after falling 13 hours ago. which of the following laboratory values is expected with a musculoskeletal complication associated with this presentation?

A) elevated creatine kinase

B) decreased potassium level

C) decreased WBC

D) elevated GFR

Answer:

The annual gross income of the server is $52936

Step-by-step explanation:

The server works four 6-hour shift a week.

the server earns $9.75/h

An average seller sells $1400 in a single shift, and makes 14% tip of a bill.

For the 6-hour shift, the server earns

6 x $9.75 = $58.5 a shift

in a week, the total money made for the four shifts in a week will be

4 x $58.5 = $234

The server makes an average of 14% of a bill, and makes about  $1400 in a single shift.

In a single shift he makes a tip of

14% of $1400 = 0.14 x $1400 = $196

in a week he makes 4 x $196 = $784

Total money the server makes in a week is

==> $234 + $784 = $1018

There are 52 weeks in a year.

The server's annual gross income will be

52 x $1018 = $52936

By applying algebra, radical and power properties, we find that the simplified form of (√5 + √6) · (√7 - √5) is equal to √35 + √42 - 5 - √30.

How to simplify a product of two binomials with radical numbers

Herein we need to apply algebra and radical and power properties to simplify the expression described in the statement, whose procedure is shown below:

(√5 + √6) · (√7 - √5)     Given

(√5 + √6) · √7 + (√5 + √6) · (- √5)     Distributive property

√7 · √5 + √6 · √7 + √5 · (- √5) + √6 · (- √5)     Distributive property

√35 + √42 - 5 - √30     (- a) · b = - a · b/ √a · √b = √a · b/Result

By applying algebra, radical and power properties, we find that the simplified form of (√5 + √6) · (√7 - √5) is equal to √35 + √42 - 5 - √30.

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Answer:

Step-by-step explanation:

\(2^{(x+ 7)} + 2^{(x+ 6 )} = 2^{x} * 2^{7} + 2^{x}*2^{6}\\\\=2^{x} *(2^{7} + 2^{6})\)

\(= 2^{x} * 2^{6} ( 2+ 1)\\\\= 2^{x} * 2^{6} * 3\)

The rate of downloads per minute is constant because based on the given information, the number of songs is always twice the number of minutes.

Therefore, the constant of proportionality is 2.

60

The sum of the interior angles of a triangle is 180

if there are 3 sides then there are 3 angles

180/3=60 so each interior angle has a measure of 60

Please answer my most recent question.

Answer:

1/40

Step-by-step explanation:

Probability: (number of ways to achieve the desired result / number of possible results)

For example, if we want a coin to land on heads:

We know there is one way for it to land on heads and two possible outcomes. Thus, the possibility of flipping a head is 1/2.

Using this, we know that there are 5 grey marbles (the desired result) and there are  (5 + 3 + 6 + 2 + 4) total possible outcomes. The probability of drawing a grey marble is then:

5 / (5 + 3 + 6 + 2 + 4) =

5/20 =

1/4

We also know that there are 2 yellow marbles, so the probability of drawing one would be: 2 / 20 = 1/10

To find the probability of both of these events happening right after each other, multiply the probability of them each happening together.

1/4 * 1/10 = 1/40 chance of picking a grey marble and then a yellow marble.

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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If the interest were compounding weekly instead of semi-annually, the account would have been worth more. To calculate how much more, we can use the formula:

A = P(1 + r/n)^(nt)
The difference in the final amount is: $17,135.03 - $16,270.90 = $864.13


Hi! To answer your question, let's first calculate the future value of the account for both semi-annual and weekly compounding interest.

1. For semi-annual compounding (interest compounded every 6 months):
Initial deposit: $6,500
Interest rate: 3.3% per year (0.033 per year or 0.0165 per 6 months)
Number of compounding periods: 30 years * 2 = 60

Future Value = Initial deposit * (1 + Interest rate per period)^(Number of periods)
Future Value = $6,500 * (1 + 0.0165)^60 ≈ $16,883.62

2. For weekly compounding (interest compounded every week):
Initial deposit: $6,500
Interest rate: 3.3% per year (0.033 per year or 0.00063462 per week)
Number of compounding periods: 30 years * 52 weeks = 1560

Future Value = Initial deposit * (1 + Interest rate per period)^(Number of periods)
Future Value = $6,500 * (1 + 0.00063462)^1560 ≈ $17,110.79

Now, let's find out how much more the account would be worth if the interest were compounded weekly instead of semi-annually:

Difference = Future Value (weekly compounding) - Future Value (semi-annual compounding)
Difference = $17,110.79 - $16,883.62 ≈ $227.17

If the interest were compounding weekly, the account would be worth approximately $227.17 more.

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With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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The probability of a couple having five children with no children being affected by the disorder is given by the formula (1 - 0.0025)⁵.

This formula calculates the probability of a certain event (in this case, having no children affected by the disorder) happening five times in a row. However, this does not give the probability of all five children being unaffected by the disorder.

To find the probability of all five children being unaffected, you would need to multiply the probability of each child being unaffected, which is (1 - 0.0025), five times:

This result is the correct probability of a couple having five children with no children being affected by the disorder.

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Answer:

Step by step explanation

1. \( \frac{1}{1 - x} + \frac{x}{ {x}^{2} - 1} \)

Use \( \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b} \) to rewrite the fractions

\( - \frac{1}{x - 1} + \frac{x}{(x - 1)(x + 1)} \)

Write all numerators above the Least Common Denominator ( X - 1 ) ( X + 1 )

\( \frac{ - (x + 1) + x}{(x - 1)(x + 1)} \)

When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression

\( \frac{ - x - 1 + x}{(x - 1)(x + 1)} \)

Using \((a - b)(a + b) = {a}^{2} - {b}^{2} \) , simplify the product

\( \frac{ - x - 1 + x}{ {x}^{2} - 1 } \)

Since two opposites add up to zero, remove them from the expression

\( \frac{ - 1}{ {x}^{2} - 1} \)

So, Option A is the right option.

___________________________________

2.

\( \frac{ {x}^{2} - x - 12}{ {x}^{2} - 16} - \frac{1 - 2x}{x + 4} \)

Write - X as a difference

\( \frac{ {x}^{2} + 3x - 4x - 12 }{ {x}^{2} - 16 } - \frac{1 - 2x}{x + 4} \)

Using \( {a}^{2} - {b}^{2} = (a - b)(a + b)\) , factor the expression

\( \frac{ {x}^{2} + 3x - 4x - 12 }{(x - 4)(x + 4)} - \frac{1 - 2x}{x + 4} \)

Factor the expression

\( \frac{x(x + 3) - 4(x + 3)}{(x - 4)(x + 4)} - \frac{1 - 2x}{x + 4} \)

Factor out X+3 from the expression

\( \frac{(x + 3)(x - 4)}{(x - 4)(x + 4)} - \frac{1 - 2x}{x + 4} \)

Reduce the fraction with x-4

\( \frac{x + 3}{x + 4} - \frac{1 - 2x}{x + 4} \)

Write all the numerators above the common denominator

\( \frac{x + 3 - ( 1- 2x)}{x + 4} \)

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

\( \frac{x + 3 - 1 + 2x}{x + 4} \)

Collect like terms

\( \frac{3x + 3 - 1}{x + 4} \)

Subtract the numbers

\( \frac{3x + 2}{x + 4} \)

Undefined at,

X + 4 = 0

Move constant to R.H.S and change its sign

\(x = 0 - 4\)

Calculate

\(x = - 4\)

So, the answer is :

\( \frac{3x + 2}{x + 4} \) , undefined at X = -4 and 4

Hope this helps..

Best regards!!

The mean GPA is greater than 2.75.

A= 4.0, A- = 3.7, B+ = 3.three, and many others. Total the first-class factors, and overall the credit hours. Divide the overall satisfactory points by means of the overall credit score hours.

Grade point average (GPA) is the measure used to summarize your instructional fulfillment at Griffith. After the e-book of final grades every trimester, your software and career.

GPA is calculated and could be utilized by the college to tell choices, which include the subsequent: educational progression.

Divide the total range of grade factors earned with the aid of the total number of letter-graded units undertaken.

Mean GPA = total / 50    

                  = 2.75.

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