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Identify one characteristic of exponential decay.

To find the standard deviation of the weights of a species of cockroach when it is known that 14% weigh more than 55 grams, you can use the Empirical Rule of a normal distribution and solve using the given mean and the equivalent standard deviation for the 14% threshold. The estimated standard deviation in this case is around 4.63 grams.

Your question is about using statistical information about a normally distributed population - in this case, the weights of a certain species of cockroach - to estimate the standard deviation of that population.

One thing we know about normally distributed data is that approximately 68% of all measurements fall within one standard deviation (either above or below) of the mean, about 95% fall within two standard deviations, and about 99.7% fall within three standard deviations. This is often referred to as the Empirical Rule or 68-95-99.7 rule.

According to the information provided, 14% of the cockroaches in the studied population weigh more than 55 grams. On a standard normal distribution, 14% represents approximately 1.08 standard deviations above the mean (you can find this value on a standard normal distribution table). Since we know that the mean weight is 50 grams, we can set up the following equation to solve for the standard deviation:

50 (mean weight) + 1.08 (standard deviation equivalents for 14%) * σ (standard deviation) = 55

Solving for σ we find that the standard deviation σ for the population of these cockroaches is approximately 4.63 grams.

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I need help with this problem

Option C)The sales tax will be $2.25.

Convert the sales tax rate from a percentage to a decimal,
7.5% becomes 0.075.

Multiply the decimal by the total cost of the shoes,

0.075 × 29.95
= 2.24625.

$2.25.

Therefore, the sales tax on the shoes will be $2.25,Option C

Answer: a) Each group has 5 members as its greatest possible.

b) There are 4 groups of sixth graders and 5 groups of seventh graders.

Step-by-step explanation:

Since we have given that

Number of sixth grader = 20

Number of seventh grader = 25

We need to find the greatest possible number of members in each group will contain:

For greatest possible number we will find "Highest common factor (H. C.F) of 20 and 25 = 5

a) Each group has 5 members as its greatest possible.

b) Number of groups of sixth graders would be

[tex]\dfrac{20}{5}=4[/tex]

Number of groups of seventh graders would be

[tex]\dfrac{25}{5}=5[/tex]

Hence, there are 4 groups of sixth graders and 5 groups of seventh graders.

The required number of green tiles is 48

Given that,
Sandy has 288 tiles and wants one-half of the tiles divided evenly into three different colors (green, yellow, burgundy), How many green tiles she need is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
total number of tiles = 288
half of the tiles = 288 / 2 = 144
Now this half number of tiles is divided into 3 equal parts, in (green, yellow, burgundy)
= 144 / 3
= 48
So, she needs 48 green tiles.

Thus the required number of green tiles is 48.

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"-1 modulo 25" is "1 less than a precise multiple of 25". 
So what are the exact or precise multiples of 25 in the appropriate interval? 
It is -75, -50, -25, 0, 25, 50, 75, and 100. 
Now just subtract 1 from each of them.

So the answers are -76, -51, -26, -1, 24, 49, 74, and 99.

The solution is, the value of x is 7.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

(10x-20)=(6x+8)

We simplify the equation to the form, which is simple to understand

(10x-20)=(6x+8)

Remove unnecessary parentheses

10x-20=(6x+8)

Remove unnecessary parentheses

10x-20=6x+8

We move all terms containing x to the left and all other terms to the right.

+10x-6x=+8+20

We simplify left and right side of the equation.

+4x=+28

We divide both sides of the equation by 4 to get x.

x=7

Hence, The solution is, the value of x is 7.

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To find the critical numbers of the function g(y) = (y - 3) / (y^2 - 3y + 9), we need to find the values of y for which the derivative of g(y) is equal to zero or does not exist. By following the steps above, we find that the function has no critical numbers.

To find the critical numbers of the function g(y) = (y - 3) / (y^2 - 3y + 9), we need to find the values of y for which the derivative of g(y) is equal to zero or does not exist.

Therefore, the function g(y) = (y - 3) / (y^2 - 3y + 9) has no critical numbers.

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Answer:

Given that b(x)=|x+4| value of b(-10) is:

6

Step-by-step explanation:

|We are given that:

b(x)=|x+4|

We have to find the value of b(-10)

Putting x= -10 in above equation, we get

b(-10)=|-10+4|

       =|-6|

      =6

Hence, given that b(x)=|x+4| value of b(-10) is:

6

Answer:

Since, by the quadratic formula,

The solution of a quadratic equation [tex]ax^2+bx+c=0[/tex] is,

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Here, the given quadratic equation,

[tex]5-10x-3x^2=0[/tex]

[tex]-3x^2-10x+5=0[/tex]

By the above formula,

[tex]x=\frac{-(-10)\pm \sqrt{(-10)^2-4\times -3\times 5}}{2\times -3}[/tex]

[tex]=\frac{10\pm \sqrt{100+60}}{-6}[/tex]

[tex]=\frac{10\pm \sqrt{160}}{-6}[/tex]

[tex]=\frac{5\pm 2\sqrt{10}}{-3}[/tex]

[tex]\implies x=-\frac{5+2\sqrt{10}}{3}\text{ or }x=-\frac{5-2\sqrt{10}}{3}[/tex]

The correct answer should be +18