Use the Empirical Rule to determine the percentage of candies with weights between 0.7 and 0.98 gram. ​Hint: x=0.84

Answers

Answer 1

Using the Empirical Rule, it is found that 95% of the candies have weights between 0.7 and 0.98 gram.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Researching this problem on the internet, we have that:

The mean is of 0.84.The standard deviation is of 0.07.

Then 95% of the candies have weights between 0.7 and 0.98 gram, as:

0.7 = 0.84 - 2 x 0.07.0.98 = 0.84 + 2 x 0.07.

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Related Questions

what’s the slope of the line?

whats the slope of the line?

Answers

Answer:

4/3

Step-by-step explanation:

You use Rise over Run.

It runs 3 blocks to the left (+).

It rises 4 blocks up (+).

Answer:

is the change in y over the change in x

Ray purchases a paperweight in the shape of a rectangular pyramid and wants to cover it in decorative paper. He creates the net of the figure.


Ray only wants to cover the lateral area of his paper weight. How many square inches of paper will he need? Round your answer to the nearest square inch.

Answers

Answer: Ray will need approximately 40 square inches of decorative paper to cover the lateral area of his paperweight. Rounded to the nearest square inch, he will need 40 square inches.

Step-by-step explanation:

To find the lateral area of the rectangular pyramid, we need to find the area of each triangular face and add them up.

Let's label the dimensions of the rectangular pyramid:

The base of the rectangular pyramid has dimensions 4 inches by 6 inches.

The height of the rectangular pyramid is 3 inches.

First, we need to find the slant height of the pyramid, which is the hypotenuse of each triangular face. We can use the Pythagorean theorem to find it:

slant height = √( (1.5)^2 + 3^2 ) = √( 2.25 + 9 ) = √11.25 ≈ 3.354

Now we can find the area of each triangular face using the formula:

area = 0.5 x base x height

The base of each triangular face is the width of the rectangular base, which is 6 inches. The height of each triangular face is the slant height we just found, which is approximately 3.354 inches.

So, the area of each triangular face is:

area = 0.5 x 6 x 3.354 = 10.062 square inches (rounded to three decimal places)

There are four triangular faces, so the total lateral area of the pyramid is:

total lateral area = 4 x 10.062 = 40.248 square inches (rounded to three decimal places)

Therefore, Ray will need approximately 40 square inches of decorative paper to cover the lateral area of his paperweight. Rounded to the nearest square inch, he will need 40 square inches.

Is 9pi rational or irrational

Answers

Answer:

irrational

Step-by-step explanation:

every number that times with pi are irrational, only zero gives a rational number

Chloe recorded the amount she spent on lunch each day and then calculated the following measures:

mean: $5.68
median: $5.85
mode: $3.05
If Chloe bought lunch every day for 30 days, approximately how much did she spend in total?

Enter your answer as a dollar amount, like this: $42.53

Answers

Using the mean from the data given she spent approximately $170.40 for 30 days

What is Mean

Mean is a measure of central tendency that is calculated by adding up all the values in a dataset and then dividing by the number of values in the dataset. It is also commonly known as the "average".

To find the total amount Chloe spent on lunch for 30 days, you can multiply the mean by the number of days.

$5.68 x 30 = $170.40

So Chloe spent approximately $170.40 on lunch for 30 days.

Please note that this is an approximation as we don't know the exact data and we are using mean here.

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The perimeter of MNL is?

The perimeter of MNL is?

Answers

Perimeter of triangle ΔMNL is 21.

Define perimeter of triangle

The perimeter of a triangle is the total length of its three sides. To find the perimeter of a triangle, you simply add the lengths of its three sides.

Define similarity in triangle

In geometry, similarity refers to the property of two figures (such as triangles) that have the same shape, but not necessarily the same size. Similar triangles are two triangles that have the same shape, which means that their corresponding angles are congruent and their corresponding sides are proportional.

In the given figure ΔABC and ΔMNC are similar

∠ACB=∠MLN (41°)

AC/BC=NL/ML (2/3)

ΔABC and ΔMNC are similar by SAS rule

AB/BC=MN/NL

8/12=x/9

x=6

Perimeter of triangle ΔMNL=6+6+9

=21

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Linear sequence of 35/100,5/10,65/100

Answers

The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

Finding the linear rule for the sequence

From the question, we have the following parameters that can be used in our computation:

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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Help me solve these two problems! Show the work

Help me solve these two problems! Show the work

Answers

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

On her way to work each morning Sophia
purchases a small cup of coffee for $425
from the coffee shop

Answers

Answer:

This is easy...stop purchasing this outrageous coffee for $425. No coffee is that good

the function has zeros at -1 and -11, and a minimum at -5

Answers

The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).

What is graph?

In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.

In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.

According to given information:

Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):

\(f(x) = a(x- (-1))(x- (-11))\)

Simplifying, we get:

\(f(x) = a(x+1)(x+11)\)

To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:

\(-5 = (-1+(-11))/2\\-5 = -6\)

This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:

\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)

We also know that the function has a minimum at this point, so we can use this to find the value of a:

\(f(-6) = -5\\-5= -5a\\\\a = 1\)

Therefore, the quadratic function that satisfies these conditions is:

\(f(x) = (x+1) (x+11)\)

We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:

x-coordinate of vertex = \((-1 +(-11))/2 =-6\)

y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)

Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.

Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?

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Simplify 3 · 2x. What is the coefficient?
• 2
• 3
• 6

Answers

Answer:

6x coefficient is 6. the number next to the letter

Step-by-step explanation:

Find the circumference of the object.
2 meters

Find the circumference of the object.2 meters

Answers

Answer:

circumference =2×3.14

circumference =6.28 m

When choosing a sample size for a population proportion a practitioner is considering either setting p = 0.5, or, using a preliminary estimate of p-hat=0.7. Which is true? a. Using the preliminary estimate of p-hat -0.7 yields a larger sample size than when p0.5 is used. b. Using the value 0.3 (the complement of p-hat in this case) yields a larger sample than when p0.5 is used. c. The sample size is maximized (thus making it a more conservative approach) with the value of p vs. the value of p-hat. d. Both the preliminary estimate of phat -0.7 and p 0.5 yield the same sample size.

Answers

The sample size is maximized with the value of p vs the value of p-hat. Thus the correct option is C.

In the given question, when choosing a sample size for a population proportion a practitioner is considering either setting p = 0.5, or, using a preliminary estimate of p-hat=0.7.

We have to check which statement is true:

The formula to compute the sample size for population proportion is given below:

n = \(\frac{z^{2}_{\alpha/2}\times p\times(1-p)}{E^2}\)

where p is the estimated proportion. If prior estimates of proportion is not available, then p is taken as 0.5.

keeping the confidence level and margin of error constant, let \(\frac{z^{2}_{\alpha/2}}{E^2}\) = C

Suppose p=0.5

n = C × 0.5 × (1-0.5)

n = 0.25C

Suppose p-hat = 0.7

n = C × 0.7 × (1-0.7)

n = 0.21C

For any other estimate of p the sample size n will be the smaller as compared to p=0.5.

Therefore the sample size is maximized with the value of p vs the value of p-hat. Thus the correct option is C.

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Write as the opposite of a square root. -3√5

Answers

The value of -3√5 as the opposite of the square root is -75.

What in mathematics is a square root?

The factor we can multiply by itself to obtain a given number is the number's square root.

               Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

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Which number is an irrational number?
181
100
V 30
50

Answers

Answer:

181

Step-by-step explanation:

im just guessing so it's probably not right

Find the circumference of both circles to the nearest hundredth.
22 m
The circumference of the green circle is about meters.
The circumference of the blue circle is about
meters.

Find the circumference of both circles to the nearest hundredth.22 mThe circumference of the green circle

Answers

C= 2πr

C= πd

green circle: 3.14 × 2 × 22

blue circle: 3.14 × 22

PLS HELP WILL GIVE BRAINLIEST IF CORRECT (NO LINKS)

Find the measure of arc BC.

PLS HELP WILL GIVE BRAINLIEST IF CORRECT (NO LINKS) Find the measure of arc BC.

Answers

Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

Y=-4(x+1)^2 -8 PLEASE HELP!!

Y=-4(x+1)^2 -8 PLEASE HELP!!

Answers

Answer:

Flipped over x-axis, Stretched by 4 times in y values, 1 unit to the left, and 8 units down.

Step-by-step explanation:

Sign in front, outside of parentheses, if negative, represents a vertical flip.

Multiple proceeding is the amount of stretch (or compression if it is a value less than 1)

A positive value within the parentheses represents a shift to the left.

The c value of this function being negative shows a downward transition.

Write equation for the line with a slope "undefined" and has the same x-intercept as x−y−1=0

Answers

Answer:

Step-by-step explanation:

Lines with undefined slopes are perfectly vertical, of the form "x = ". A line with "the same x-intercept" as the given line that has an undefined slope will be the line that we want. I know that sounds confusing; we'll work through it then I'll explain it better. In order to find the x-intercep of the given line, solving it for y will make it a bit easier to "see". Therefore,

-y = -x + 1 and

y = x - 1. The x-intercept exists when y = 0, so setting y equal to 0 and solving for x:

0 = x - 1 and

1 = x. That's the x-intercept. It's also the line that we want that has an undefined slope, because "x = " lines are lines vertical lines and vertical lines have undefined slopes.

x = 1 is the line you want.

Rotate rectangle ABCD 90 degrees clockwise about the origin. What are the new coordinates?

Rotate rectangle ABCD 90 degrees clockwise about the origin. What are the new coordinates?

Answers

Answer:

A=(-2,-2) B=(-2,-6) D=-5,-2 C=(-5,-6)

Step-by-step explanation:

The population standard deviation of the body weight of the employee of a company is 10 pounds if we want to be 95% confident that the sample man is within 3 pounds of the true population mean what is the minimal sample size that should be

Answers

A sample size of at least 43 employees is needed to be 95% confident that the sample mean is within 3 pounds of the true population mean.

To determine the minimal sample size needed to be 95% confident that the sample mean is within 3 pounds of the true population mean, we can use the formula for sample size calculation:

n = (Z * σ / E)^2

where:

n = sample size

Z = Z-score corresponding to the desired level of confidence (95% confidence level corresponds to a Z-score of approximately 1.96)

σ = population standard deviation

E = maximum allowable error (3 pounds in this case)

Plugging in the given values:

n = (1.96 * 10 / 3)^2

n ≈ (19.6 / 3)^2

n ≈ 6.53^2

n ≈ 42.76

Rounding up to the nearest whole number, the minimal sample size required would be 43.

In order to be 95% certain that the sample mean is within 3 pounds of the actual population mean, a sample size of at least 43 employees is required.

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On average, Jaya drinks of a 6-ounce glass of water in 13 hours. How many glasses of water does she drink in one hour?

Answers

On average, Jaya drinks 0.46 ounces glasses of water does she drink in one hour.

Average:

Average refers the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

On average, Jaya drinks of a 6-ounce glass of water in 13 hours.

Here we need to find the number of glasses of water does she drink in one hour.

Let x be the number of glasses of water does she drink in one hour.

We know that, Jaya drinks of a 6-ounce glass of water in 13 hours.

So, in order to find the average we have to divide the number of glasses by the time taken.

So, it can be written as,

=> 6/13

=> 0.46

Therefore, for one hour Jaya drinks 0.46 ounces of water.

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what is Define business ownership.

Answers

Answer:

If you have ownership of something it means that you are the owner; it belongs to you. ... The term does not only refer to people, but also to other entities. For example, the government is the owner of a state company. Also, a holding company owns its subsidiary businesses.

Pls help I need this answer now As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship between eye color and hair color among students. The table below contains the results of the survey.

Pls help I need this answer now As part of a class project, a university student surveyed the students

Answers

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D

To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.

From the given table, we can see that there are 22 students with gray eyes and red hair.

The total number of students with gray eyes is the marginal total for gray eyes, which is 35.

To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:

Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes

Relative frequency = 22 / 35

Simplifying the fraction, we have:

Relative frequency = 0.6286

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.

Therefore, the correct answer is option OD) 0.63.

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Find the distance between j(-3,4) and k(2,-4)

Answers

Answer:

\(d=\sqrt{89}\)

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in your 2 coordinates into the distance formula to find distance d:

\(d=\sqrt{(2-(-3))^2+(-4-4)^2}\)

\(d=\sqrt{(2+3)^2+(-8)^2}\)

\(d=\sqrt{(5)^2+64}\)

\(d=\sqrt{25+64}\)

\(d=\sqrt{89}\)

Brainliest if correct

Brainliest if correct

Answers

Combine like terms:

-5u + 5u = 0

The you are left with just -8


Answer: -8

Answer:

-8

Step-by-step explanation:

-5u+5u-8=(-5+5)u-8

=(0)u-8

=-8

I need Help please!!!

I need Help please!!!

Answers

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

The product of two numbers is 155952. If one number is 342, find the other
number.

Answers

Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

4 log x = 4

What’s The Answer To This ?

Answers

Answer:

8

Step-by-step explanation:

8 . Is the answer ok ok ok

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.

Answers

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

How to calculate the probability

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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Nakeisha needs to order some new supplies for the restaurant where she works. The restaurant needs at least 566 forks. There are currently 188 forks. If each set on sale contains 8 forks, which inequality can be used to determine xx, the minimum number of sets of forks Nakeisha should buy?

Answers

The inequality that can be used to determine the minimum number of set of forks Nakeisha should buy is xx ≥ (566 - 188) / 8.

What is the minimum set of forks she should buy?

The first step is to determine the appropriate inequality signs that can be used.

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The inequality sign that would be used is ≥.

The form of the inequality is: xx ≥ (least number of forks needed - forks they current have) / number of forks in one set

xx ≥ (566 - 188) / 8

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Answer:

566 < 188 + 8x

Step-by-step explanation:

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