what is 5/8 exressed as a decimal

Answer:

$4 per apple.

Step-by-step explanation:

This is pretty simple, you can divide 28 divided by 7 or you can go through your 4 times table and figure out that 4 times 7 equals 28.

Approximately 86.5% of customers will be served in less than 10 minutes and only 13.5% of customers will take more than 10 minutes to check out.

To find the proportion of customers who take more than 10 minutes to check out, we need to calculate the cumulative distribution function (CDF) of an exponential distribution at 10 minutes and subtract it from 1. The CDF for an exponential distribution with mean (lambda) 5 minutes is given by:

CDF = 1 - e^(- λ * x)

Plugging in λ = 0.2 (1/mean) and x = 10, we get:

CDF = 1 - e^(-0.2 * 10) = 1 - e^(-2) = 1 - 0.135 = 0.865

So, approximately 86.5% of customers will be served in less than 10 minutes and only 13.5% of customers will take more than 10 minutes to check out.

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Answer:

im doing the test rn and i believe the other person is correct :)

Step-by-step explanation:

The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Answer:

I think its $6894.21

Step-by-step explanation:

compound interest formula: A= P(1+ r/n)^nt

A= 5000(1+ 0.055/1)^1(6)

A= 6894.21403

A= $6894.21

The inequality is 3b + 1 + 3 ≤ 13. The maximum number of books that Toni can carry is 3.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

The inequality that represent this situation is:

3b + 1 + 3 ≤ 13

3b + 4 ≤ 13

b ≤ 3

The inequality is 3b + 1 + 3 ≤ 13. The maximum number of books that Toni can carry is 3.

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a) About 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

b) About 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

c) The estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

To answer these questions, we'll use the properties of the normal distribution and the given mean and standard deviation.

(a) To find the percentage of test takers who earn a score less than 500 on the GRE Chemistry test, we need to calculate the cumulative probability up to the score 500.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (500 - 694) / 112

z-score ≈ -1.732

Now, we look up the cumulative probability for a z-score of -1.732 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.0416 or 4.16%.

So, about 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

(b) To find the proportion of test takers who earn a score greater than or equal to 900, we need to calculate the cumulative probability from 900 to positive infinity.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (900 - 694) / 112

z-score ≈ 1.839

Now, we look up the cumulative probability for a z-score of 1.839 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.9664 or 96.64%.

So, about 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

(c) To estimate the score at the 99th percentile on the GRE Chemistry test, we need to find the value that separates the lowest 99% of the scores from the highest 1%.

We use the z-score formula to find the z-score corresponding to the 99th percentile:

z-score = invNorm(0.99)

z-score ≈ 2.326

Now, we use the z-score to find the score corresponding to the 99th percentile:

X = mean + (z-score * standard deviation)

X = 694 + (2.326 * 112)

X ≈ 694 + 260.512

X ≈ 954.512

So, the estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

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Answer:

angle BEF = 100 degrees

Step-by-step explanation:

For a regular 9-sided polygon (nonagon),

each exterior angle = 360/9=40 degrees

each interior angle = 180-40 = 140 degrees.

Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.

Therefore angle DEB = 40 degrees

that leaves BEF = 140-40 = 100 degrees

Answer: 2.87

Step-by-step explanation:

you divide the miles by the gallons

Answer:

If 5 centimeters on the map represent 75 kilometers in the real world, then we can use proportion to find the actual distance between the two lakes.

Let x be the actual distance between the two lakes in kilometers. Then we can set up the following proportion:

5 cm / 75 km = 8.1 cm / x km

To solve for x, we can cross-multiply:

5 cm * x km = 75 km * 8.1 cm

Simplifying:

5x = 607.5

x = 121.5 km

Therefore, the actual distance between the two lakes is 121.5 kilometers.

Answer:

48: 24

Step-by-step explanation:

divide.

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

our survey found that 56% of college students live on campus, 62% have a campus meal program, and 42% do both. while dining in a campus facility open only to students with meal plans, you meet someone interesting. The percent of people, who either lives or eats on campus is 34 %

In mathematics, sets are collections of discrete things that can be grouped together. A collection of items in a set includes a collection of numbers, days of the week, different kinds of cars, etc.

Let the total number of people be 100.

Let set A be people who live in campus = 56

Let set B be people who participate in meal = 62

Let set be people who do both = 42

According to set theory,

(A∪B) = A+ B - (A∩B)

        = 56 + 62 - 42

      = 76    

Then either lives or eats is given by,

= (A∪B) -  (A∩B)

= 76 - 42

= 34

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Answer:

7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.

Step-by-step explanation:

These are the two conditions required for performing a t test

- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.

- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.

- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.

While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.

Answer:

\(x = 12\)

Step-by-step explanation:

\(4 + 2x = 4x - 20\)

\(4 + 20 = 4x - 2x\)

\(24 = 2x\)

\(x = 12\)

The value of r is r = v²/a

Formula is a general fact, rule, or principle expressed in usually mathematical symbols.

The subject of a formula is the variable that is being worked out. It can be recognised as the letter on its own on one side of the equals sign.

For example, the formula for the volume of a cone is expressed as;

V = 1/3πr²h

where is the subject of the formula. This subject can be changed using mathematical rule.

The centripetal acceleration of a circular body is given as;

a = v²/r

making r the subject

ar = v²

r = v²/a

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Answer:

0.17391304347

Step-by-step explanation:

Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

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The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.

This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.

This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of  two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.

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Answer:

2 gallons

Step-by-step explanation:

There are 4 (US) quarts in 1 (US) gallon.

Therefore, 2 gallons would equal 8 quarts.

4 + 4 = 8

Answer:

2, 2 gallons would be equal to 8 quarts

Step-by-step explanation:

4 quarts is a gallon so you would have 2

If the device shows the zero vector, it means that the gradient at that location is zero.

To find the direction to walk in order to go directly downhill based on the gradient information from the device, you would need to follow the direction opposite to the gradient vector. The gradient vector points in the direction of the steepest uphill ascent, so walking in the opposite direction would take you downhill.

Here's a step-by-step process to determine the direction:

Stand at a particular location on the mountain.

Check the reading on the device, which gives you the gradient vector at that point.

Reverse the direction of the gradient vector to point in the opposite direction.

Move in the direction indicated by the reversed gradient vector. This will guide you downhill.

If the device shows the zero vector, it means that the gradient at that location is zero. In other words, the terrain is flat or level at that point. In this case, you are already at the lowest point of that local area, and any direction you choose to walk will keep you at the same altitude. It suggests that you are standing on a plateau or a local minimum.

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The measure of central location that is not sensitive to extreme values is the median.

Option (b) The median represents the middle value of a dataset when it is arranged in ascending or descending order. It is not influenced by extreme values or outliers.

Option (a) The mean is sensitive to extreme values because it takes into account all the values in the dataset, including the extreme values. A single extreme value can significantly affect the mean.

Option (c) The mode represents the value that appears most frequently in a dataset. It is not typically affected by extreme values, but if the dataset has multiple modes, it may not be a reliable measure of central location.

Therefore, The measure of central location that is not sensitive to extreme values is the median. the correct answer is (b) The median.

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Answer:

Domain = 1,3,5,7

Range = 8,7,6,5

Step-by-step explanation:

We need to identify the domain and range of the function: input 1,3,5,7 output 8,7,6,5

Domain of function:

For any function domain is set of input values.

Range of function:

For any function range is set of output values.

So, for the given function we have : input 1,3,5,7 output 8,7,6,5

Domain = 1,3,5,7 (set of input values is domain of function)

Range = 8,7,6,5 (set of output values is range of function)

The expression is the absolute value of the difference between the coordinates of the point  |x-3| + |x+2| - |x-5| is 2x - 6. This is only defined for values of x greater than 5.

To evaluate the expression Y for x > 5, we need to consider the different cases based on the absolute value expressions

When x > 5, all three absolute value expressions inside the brackets become positive, so we can simplify as follows

Y = |x-3| + |x+2| - |x-5|

= (x-3) + (x+2) - (x-5) (since x-3, x+2, and x-5 are all positive)

= 2x - 6

Therefore, when x > 5, the expression Y simplifies to 2x - 6.

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Answer:

Step-by-step explanation:

Answer A represents an exponential equation; see below for a demo.

In Answer A we have (1, 3), (2, 3²), (3,3³)