round 4.30132 to the nearest thousandth

Answer:

940 people did the survey of of all the 970

Answer:940

The number of the students were surveyed in total are 1000.

A percentage is a number or ratio that represents a fraction of 100.

Given that, in a survey 970 said their favorite color was purple which is 97% of the survey, we need to find the number of the students were surveyed in total,

Let the number of the total student be, x,

Therefore, using the concept of percentage, we will have,

Therefore, 970 students out of x who love purple color, that are 97% of the whole,

Therefore,

97 % of x = 970

97 / 100 × x = 970

x = 970 × 100 / 97

x = 1000

Therefore, the total students are 1000.

Hence, the number of the students were surveyed in total are 1000.

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Answer:

f(x) = 1/4x + 25

Step-by-step explanation:

Answer:

f(x) = 1/4x + 25

Step-by-step explanation:

Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

we must find the for each fuction and we can say from it if they are parellel or perpendicular

F(x)

slope

(x2,y2)=(3,-1) and (x1,y1)=(2,4)

G(x)

(x2,y2)=(2,6) and (x1,y1)=(-3,7)

slope

when the slopes are equals the lines are parellel so This is not the case

when the slopes one is the other inverted and with a different sign they are parellel so this is not the case

So, the solution is neither

Answer:

10

Step-by-step explanation:

pi is 3.14...

pi - 1 is 2.14...

question becomes 1<2.14x and 2.14x < 10

1/2.14 < x, 0.46... < x

x < 10/2.14, x < 4.67...

combining

0.46< x < 4.67

x can be 1, 2, 3, 4

Answer:

Step-by-step explanation:

pi - 1 = 3.14 - 1 = 2.14

x has to be an integer, and the result must be greater than 1.

1 works.

1 < 2.14*1 < 10  2.14 is between 1 and 10.

2 works

1 < (2.14)*2 < 10

1 < 4.28 < 10

3 works

1 < 2.14 * 3 < 10

1 < 6.42 < 10

4 might work

1 < 2.14*4 < 10

1 < 8.56 < 10

and it does work.

5 can't work

1 < 5 * 2.14 < 10

1 < 10.7 < 10 is not true.

Answer: 1,2,3,4

Answer: D. More than $57,181

Step-by-step explanation:

Because a masters degree is higher than a bachelors degree, they should make more money

Answer: D

Step-by-step explanation: Because a master’s is higher than a bachelor’s so master’s would get more money.

The claim that permutations and combinations are related by r! can be proven true using algebraic manipulation. By expanding the expressions for nCr and nPr, it can be shown that nCr = nPr / r!.

To demonstrate that nCr = nPr / r!, we start by expressing nCr and nPr in terms of factorials.

The formula for combinations (nCr) is given by:

nCr = n! / (r! * (n - r)!)

The formula for permutations (nPr) is given by:

nPr = n! / (n - r)!

Now, let's substitute the expression for nPr in terms of factorials into the equation:

nCr = (n! / (n - r)!) / r!

To simplify the expression, we can multiply the numerator and denominator of the fraction by (n - r)!:

nCr = (n! / (n - r)!) * (1 / r!)

Simplifying further, we can cancel out the common terms in the numerator and denominator:

nCr = n! / r!

Hence, we have shown that nCr = nPr / r!. This algebraic manipulation verifies the student's claim.

Let's explain why nCr and nPr differ by the factor r. In combinations (nCr), the order of selecting the elements does not matter, so we divide by r! to eliminate the arrangements of the chosen elements. However, in permutations (nPr), the order of selecting the elements does matter, and we do not divide by r! because the arrangements are distinct. Therefore, the factor r! accounts for the additional arrangements in permutations compared to combinations.

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Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

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Answer:

  you need to show the number is prime

Step-by-step explanation:

To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.

The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...

  2^7 -1 = 128 -1 = 127

The sum of digits is 10, which is not a multiple of 3: not divisible by 3.

The units digit is 7, not 0 or 5: not divisible by 5.

The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.

We know that 11² = 121, so 127 is not divisible by 11.

All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.

_____

Additional comment

It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.

You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.

The total amount that Amy will spend is $17.98

Amy goes out to eat at El Parral. She orders a Burritos Deluxe dinner for $8.75, fried ice cream for $4, and a Coke for $2.

Amy's gross total is $8.75 + $4 + $ 2  = $14.75

Now, sales tax of 6 percent

Her net bill is $14.75 + 6% of $14.75

$ 14.75 + 0.885

= $15.635

Here, Amy also gives a tip of 15 percent

Her total spending becomes

$15.635 + 15% of $ 15.635

$15.635+ 2.345

$17.980

or $ 17.98

Hence, the total amount that Amy will spend is $17.98

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Answer:

x=7

Step-by-step explanation:

24:14  

Divide each number by 2

24/2 : 14/2

12 : 7

x =7

Answer:

\(x=7\)

Step-by-step explanation:

\(24:14=\frac{24}{14}\)

\(12:x= \frac{12}{x}\)

\(\frac{24}{14} =\frac{12}{x}\)

\(24x=14 \times 12\)

\(24x=168\)

\(\frac{24x}{24}=\frac{168}{24}\)

\(x=7\)

The answer is:

Work/explanation:

Although I cannot see the graph with the green and red lines, I can figure out the slope of the red line with the clues given in the problem.

We're given that the green line and the red one are parallel to each other. Well, the thing about parallel lines is that they have equal slopes.

So if the slope of the green line is -1, then the slope of the red line is -1.

The slope of the line is - 1. Hence option B is true.

Used the concept of slope of lines,

The slopes of parallel lines are equal. Two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

Given that,

The lines shown below are parallel.

And, the green line has a slope of -1.

Since the red and green lines are parallel lines.

Hence, The slopes of parallel lines are equal.

Here, the green line has a slope of -1.

Hence, the slope of the red line is also - 1.

Therefore, the correct option is B.

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The correct option b. 0.004629 for  the probability of observing a 1 three times in a row.

Probability of an event = (Number of favorable events) /   (total number of event).

P(B) = (Event B) / (total number of event).

The number of times the dice are rolled has no bearing on the outcome of the roll.

The likelihood of receiving 1 is 1/6.

The likelihood of obtaining 1 three times in a row is equal to the likelihood of getting 1 the first time, the second time, and the third time.

Receiving 1 three times in succession has a probability;

= 1/6 x 1/6 x 1/6

= 1/216.

As a result, there is a 0.463% chance that you'll get 1 three times in a row.

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Answer:

the last one

Step-by-step explanation:

y = -2/x + 3e^x/x + 6e - 1 is the solution to the initial value problem x^2y' - 2xy = 6e^x, y(1) = -3 + 6e.

To find the solution to the initial value problem (IVP) x^2y' - 2xy = 6e^x, y(1) = -3 + 6e, we can use the method of separation of variables.

First, we rearrange the equation to get all the terms with y on one side and all the terms with x on the other side:

x^2y' = 2xy + 6e^x

y' = (2xy + 6e^x)/x^2

Next, we separate the variables and integrate both sides:

∫y' dy = ∫(2xy + 6e^x)/x^2 dx

∫dy = ∫(2x/x^2) dx + ∫(6e^x/x^2) dx

y = -2/x + 3e^x/x + C

Finally, we use the initial condition y(1) = -3 + 6e to find the value of C:

-3 + 6e = -2 + 3e + C

C = 6e - 1

So the solution to the IVP is:

y = -2/x + 3e^x/x + 6e - 1

This is the solution to the initial value problem x^2y' - 2xy = 6e^x, y(1) = -3 + 6e.

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Running a 60-watt LED light bulb for 24 hours would consume 1.44 kilowatt-hours (kWh) of electricity, which, depending on the cost of electricity in your area, could range from around $0.10 to $0.30.

To calculate the cost of running a 60-watt LED light bulb for 24 hours, we need to determine the energy consumption in kilowatt-hours (kWh) and multiply it by the cost per kWh in your area.

First, convert the wattage to kilowatts by dividing it by 1000: 60 watts ÷ 1000 = 0.06 kilowatts.

Next, calculate the energy consumption by multiplying the power (0.06 kW) by the time (24 hours): 0.06 kW × 24 hours = 1.44 kWh.

The cost will vary depending on your location and the price of electricity. In the United States, the average residential electricity rate is around $0.13 per kWh. Multiplying the energy consumption (1.44 kWh) by the electricity rate ($0.13) gives us the cost: 1.44 kWh × $0.13/kWh = $0.1872.

Therefore, the cost to run a 60-watt LED light bulb for 24 hours would be around $0.10 to $0.30, depending on the specific electricity rates in your area.

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Answer:

a

Step-by-step explanation:

I counted :)

The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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Answer:

Try khan academy! It’s free and is really good. Has subjects from k-g12!

Step-by-step explanation:

Answer:

slader is great for science and math and for English paper hacker is pretty good

Answer:

Step-by-step explanation:To write 2200 feet to 6 seconds as a rate in lowest terms, we can divide the distance traveled by the time taken to find the average speed of the object. The rate can then be expressed as distance per time, or feet per second.

We can write the rate as follows:

rate = distance / time = 2200 feet / 6 seconds = 367 feet per second

This is the average speed of the object in feet per second.

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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Answer:

1139.2 hours

Step-by-step explanation:

6.40 x 178 = 1139.2

Answer:

first blank is P

second blank is 50-10P

Step-by-step explanation:

i put those answers and got it right

Groups: This is a one-sample t-test, which means there is only one group in this test.

Null hypothesis: The null hypothesis (H0) for this one-sample t-test is that the mean of the population is equal to 74.2.μ = 74.2.

Value of " : This value is not given in the question. Therefore, it is assumed that the level of significance for this test is 0.05 (α = 0.05).

Two-tailed test is appropriate for this situation.

Alternative hypothesis: The alternative hypothesis (Ha) is that the mean of the population is not equal to 74.2. t-observed value: `t = (X - μ) / (sx / sqrt(n)) = (75.1 - 74.2) / (10.2 / sqrt(81)) = 0.988`.

t-critical value: For a two-tailed test, using α = 0.05 and 80 degrees of freedom, the t-critical values are -1.990 and 1.990. Since the absolute value of the t-observed value is less than the t-critical value, the null hypothesis should be retained.

P-value: P-value is defined as the probability of obtaining the observed test statistic value or a value that is more extreme than the observed value, assuming the null hypothesis is true. For this example, the p-value can be calculated using a t-table or a calculator and is approximately 0.325.

Cohen’s d value: `d = (X - μ) / sx = (75.1 - 74.2) / 10.2 = 0.088`.If α were dropped to 0.01, the researcher would retain the null hypothesis since the p-value is greater than 0.01.

If α were 0.05 and the sample size were increased to 1,100, the researcher would reject the null hypothesis since increasing the sample size increases the power of the test.

If α were 0.05 and the sample size were decreased to 18, the researcher would retain the null hypothesis since the t-critical values become larger with smaller sample sizes.

If α were 0.05 and the sample size were decreased to 5, the researcher would have to use a different test since the t-distribution cannot be used with sample sizes less than 6.50% CI around the sample mean: 50% of the observations fall within one standard deviation of the mean.

Therefore, the 50% CI around the sample mean can be calculated as (75.1 - 1.36, 75.1 + 1.36) or (73.74, 76.46).69% CI around the sample mean: 69% of the observations fall within 1.5 standard deviations of the mean. Therefore, the 69% CI around the sample mean can be calculated as (75.1 - 1.96 x 1.5, 75.1 + 1.96 x 1.5) or (72.29, 77.91).99% CI around the sample mean:

99% of the observations fall within 2.58 standard deviations of the mean.

Therefore, the 99% CI around the sample mean can be calculated as (75.1 - 2.58 x 10.2 / sqrt(81), 75.1 + 2.58 x 10.2 / sqrt(81)) or (72.06, 78.14).

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Answer:

The better deal is $32.05/15 gal

Step-by-step explanation:

Divide:

56/25

=2.24

32.05/15

=2.13666667

=2.14

Answer:

The vertex translates 4 units to the right and 1 unit upward

Step-by-step explanation:

Suppose we have a function f(x).

To translate the function a units to the left, we need to find f(x + a).

To translate the function a units to the right, we need to find f(x - a).

To translate the function a units upward, we need to find f(x) + a

To translate the function a units downwards, we need to find f(x) - a.

In this question.

We start with:

f(x) = x²

First, we look at changes in x. We have

f(x-4) = (x - 4)². So a translation of 4 units to the right.

Then

f(x - 4) + 1 = (x-4)² + 1

One unit upwards.

The correct answer is:

The vertex translates 4 units to the right and 1 unit upward

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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Answer:

i. 2040  ii.1632

Step-by-step explanation:

I think i did this right..

The statement "Choosing a smoothie containing apple and choosing a smoothie containing blueberry are not mutually exclusive events." can be inferred from the calculation.

Firstly, we identify the total number of each type of smoothies available. We have 12 apple smoothies, 7 blueberry, 8 other, and 3 smoothies that are common to both apple and blueberry. This brings our total smoothies to 30.

a) To find the probability that a smoothie contains either apple or blueberry, we need to consider the apple smoothies and smoothies that are common to both apple and blueberry then blueberry smoothies and smoothies that are common to both apple and blueberry. So, we add up the numbers of these smoothies and divide by the total number of smoothies.

P(contains apple) = (12 apple + 3 common) / 30 total = 15 / 30 which equals 0.5

P(contains blueberry) = (7 blueberries + 3 common) / 30 total = 10 / 30 which equals 0.33

Then, we find P(contains apple) + P(contains blueberry) = 0.5 + 0.33 which equals 0.83.

b) To find the probability that a smoothie contains apple or blueberry, we add up the number of apple smoothies, blueberry smoothies and smoothies common to both, then divide by the total number of smoothies.

P(contains apple or blueberry) = (12 apple + 7 blueberries + 3 common) / 30 total = 22/30 which equals 0.73.

c) The events of choosing a smoothie containing apple and choosing a smoothie containing blueberry are mutually exclusive if P(contains apple) + P(contains blueberry) is equal to P(contains apple or blueberry). As 0.83 is not equal to 0.73, these are not mutually exclusive events.

Therefore, the statement "Choosing a smoothie containing apple and choosing a smoothie containing blueberry are not mutually exclusive events." can be inferred from the calculation.

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