When a certain kind of bacterium takes a step, it moves 3 × 10^-7 meters. When Joe takes a step, he moves 0.75 meters. How many times larger is Joe's step than the bacterium's step? In scientific Notation

Answer:

12%

Step-by-step explanation:

if you divide 5 from 1 hour which is 60 min you get 12 and convert that to percent and you get 12%

To solve the equation 2x^2 + 5x - 58 = 0, we can use the quadratic formula to find the value of x. The quadratic formula states that x = [-b ± √(b^2 - 4ac)]/2a, where a, b, and c are the coefficients of the equation. We can plug in the values of a, b, and c to find the value of x. In this case, a = 2, b

Answer:

You stated the question, "Is the experimental probability of pulling a red cube greater than, less than, or equal to the theoretical probability of pulling a red cube?

Step-by-step explanation:

Therefore, this question makes no sense.

Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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The probability of a student doing well on an exam given that they spend time reading is approximately 0.983 or 98.3%.

To calculate the probability of a student doing well on an exam given that the student spends time reading, we need to use conditional probability.

Let's denote:

P(R) as the probability of a student spending time reading (P(R) = 0.59),

P(E) as the probability of a student doing well on an exam (P(E)),

P(E|R) as the probability of a student doing well on an exam given that they spend time reading (P(E|R) = 0.58).

The formula for conditional probability is:

P(E|R) = P(E and R) / P(R).

Given that P(E and R) = 0.58 (the probability of a student doing well on an exam and spending time reading) and P(R) = 0.59 (the probability of a student spending time reading), we can substitute these values into the formula:

P(E|R) = 0.58 / 0.59 = 0.983.

Therefore, the probability of a student doing well on an exam given that the student spends time reading is approximately 0.983 or 98.3%.

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Step-by-step explanation:

2. AB || CD                              2. Def of parallelogram

3. <BAC is congr <DCA         3. alt int angles of parallel lines

4. seg AB is congr seg CD    4. Theorem: opp sides of parallel are congr

5. <s AEB and CED are rt <s    5. Def of perpendicular lines

6. <AEB is congr <CED           6. Theorem: all right angles are congr

7. tr. AEB is congr tr. CED       7. AAS

8. seg. AE is congr seg. CE   8. CPCTC

9. <BEC is a rt <                      9. Def of perpendicular lines

10. <AEB is congr <BEC         10. Theorem: all right angles are congr

11. seg BE is congr seg. BE     11. Theorem: congr of seg's is reflexive

12. tr. AEB is congr tr. CEB       12. SAS

13. seg AB congr seg BC         13. CPCTC

Due to length restrictions, we kindly invite to check the explanation of this question to understand the derivation of the polynomic expressions.

Cubic functions are polynomials of grade 3. In this case, we have pairs of cubic functions of the following form:

y = (x - h)³ + k       (1)

y = - (x - h)³ + k     (2)

a) Where (h, k) are the coordinates of the vertex of each cubic function. There is a translation of (x, y) = (3, 1) between each two consecutive pairs of cubic functions. Hence, we have the following fourteen cubic functions:

b) Another family of functions with a similar pattern is shown below:

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The correct option a. may.The data shown in the may histogram is more centered around a high peak.

A graph called a histogram is used to show the frequency distribution of a small number of data points for a single variable.

For the given two histograms,

May has the peak value for the frequency of day at 14.

July has the peak value for the frequency of day at 10.

Thus, The data shown in the may histogram is more centered around a high peak.

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Complete question-

which data set is more centered around a high peak??

a. may

b. july

c. neither

d. both

The diagram for the question is shown.

Answer:

I got -5/6

Step-by-step explanation:

Y2-Y1/X1-X2

So -3-2/5-(-1) =-5/6

I hope this is the right answer  :)

The proportion of assemblies that require more than 25 seconds to complete is 0.5 or 50%.

The proportion of assemblies that require more than 25 seconds to complete given the probability density function f(x) = 0.1 for 20 ≤ x ≤ 30 seconds, follow these steps:

The proportion of assemblies that require more than 25 seconds to complete is 0.5 or 50%.

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y-intercept is at 5.

from y = mx+b

m is the slope

b is the y-intercept.

Answer:

1 calculator = $23.33

$23.33 × 6 calculators = $139.98 (Round to $140)

So the unit rate = $23.33

Michael wants to place grass on the side of his lap pool, the area of the shaded region that he wants to cover with grass is 204 square yard.

We have to determine the area of the Shaded region that he wants to cover with grass.

By calculating the overall area and taking the area of the lap pool out, the area of the shaded area may be calculated.

We can see that the shape is the trapezium. So;

Area of trapezium = 1/2 × (Sum of parallel sides) × distance between them

Sum of parallel sides = 25 yd + (3 + 12) yd

Sum of parallel sides = 25 yd + 15 yd

Sum of parallel sides = 40 yd

Distance between them = 12 yd

Area of the trapezium = 1/2 × 40 × 12

Area of the trapezium = 40 × 6

Area of the trapezium = 240 square yd

Now finding the area of lap pool.

Area = length × width

Area = 12 × 3

Area = 36 square yd

Now finding the area of shaded region

Area = Area of the trapezium - Area of lap pool

Area = 240 - 36

Area = 204 square yard

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Answer:

A

Step-by-step explanation:

If you follow the dotted lines and bring all the lines together,

angle8 = angle4 (corresponding angles)

angle8 = angle5 (vertically opposite angles)

angle5 = angle1 (corresponding angles)

Therefore, angle8 is basically the same as angles 1 and 4

Thus,

127+127=254

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

line 1:

y= -4x+3

line 2:

-8x-2y=-2

parallel = ?

Step 02:

y = mx + b

Slope of the parallel line, m’

m’ = m

line 1:

y= -4x + 3 ===> m1 = -4

line 2:

-8x-2y=-2

-2y = 8x - 2

y = 8x/(-2) - 2/(-2)

y = -4x + 1 ===> m2 = -4

m1 = m2

- 4 = - 4

The answer is:

The lines are parallel.

Answer:

B.x= -4 and E. x= 10 are the answers

Answer:

Step-by-step explanation:6

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=4000\left(1+\frac{0.06}{1}\right)^{1\cdot 5} \implies A=4000(1.06)^5\implies A \approx 5352.90\)

now, we're assuming is a 6% growth of the current amount per year, namely compounded, as opposed to simple interest.

Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.

Answer:

1/2 and - 1/2

Step-by-step explanation:

umm ok so for slope you do m = y2-y1/ x2-x1 which can probably be any point since they havent specified so we will do

A)   L (-8,8) and (0,4)M

m= 4-8/0-8

=-4/-8

=  1/2

B ) now for b its asking for the certain points of

n and p

(4,2) N and (8,0) P

m= y2-y1/x2-x1 = 0-2/8-4= -2/4 = - 1/2 for ur slope

these should be right.

$200

Step-by-step explanation:

80% 200 is equal $132

Answer:

c.) 27 x - 4

Step-by-step explanation:

We have the expression:

8 - 3(4 - 9x)

We open the brackets

8 - 12 + 27x

= -4 + 27x

This can also be written as:

= 27x - 4

Option C is the correct Option

That the equation of the line is y = 7x - 50.

The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).

In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.

Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).

Simplifying, we find that the equation of the line is y = 7x - 50.

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Answer:

All of the expressions

Step-by-step explanation:

A rational number is one that can be written as a ratio, or a number with a terminating decimal.

All of the expressions are whole numbers, so they are all rational.

Answer:

Step-by-step explanation:

its nba and kyrie

Answer:

nba aND KYRIE

Step-by-step explanation:

The simple interest for a deposit of $ 5,000 at 3 % rate of interest for 1 year would be $ 150

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the value of S is

The principal amount = $ 5,000

The rate of interest R = 3 %

The time period T = 1 year

So , the Simple Interest is given by the equation

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest S = ( 5000 x 3 x 1 ) / 100

On simplifying the equation , we get

Simple Interest S = 150000 / 100

Simple Interest S = $ 150

Therefore , the value of S is $ 150

Hence , the simple interest for the deposit is $ 150

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Answer:

a. True

Step-by-step explanation:

a. True

A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

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