fish are 2n=80. what is the chance that a single ganete produced by
a 3b fish will be normal and thus fertile? show work please

Answer:

The standard deviation for the number of people with the genetic mutation in groups of 900 is approximately 6.54.

Step-by-step explanation:

To find the standard deviation for the number of people with the genetic mutation in groups of 900, we can use the properties of the binomial distribution. The binomial distribution describes the number of successes (in this case, people with the genetic mutation) in a fixed number of independent Bernoulli trials (in this case, selecting people), each with the same probability of success.

In our case, we have:

n = 900 (number of trials, i.e., the number of people in each group)

p = 0.05 (probability of success, i.e., the probability of having the genetic mutation)

The mean (μ) and variance (σ²) of a binomial distribution can be calculated using the formulas:

μ = n * p

σ² = n * p * (1 - p)

We are interested in finding the standard deviation (σ), which is the square root of the variance:

σ = sqrt(σ²)

So, in our case:

σ = sqrt(900 * 0.05 * (1 - 0.05))

σ = sqrt(900 * 0.05 * 0.95)

σ ≈ sqrt(42.75)

σ ≈ 6.54

Thus, the standard deviation for the number of people with the genetic mutation in groups of 900 is approximately 6.54.

The standard deviation for the number of people with the genetic mutation in such groups of 900 is approximately 6.48.

To find the standard deviation for the number of people with the genetic mutation in groups of 900, you can use the formula for the standard deviation of a binomial distribution:

σ = √(n * p * (1-p))

Here, n = 900 (number of people randomly selected), p = 0.05 (5% of the population has the genetic mutation).

σ = √(900 * 0.05 * (1 - 0.05))
σ = √(45 * 0.95)
σ ≈ 6.48

The standard deviation for the number of people with the genetic mutation in such groups of 900 is approximately 6.48.

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Answer:

To find missing sides you subtract the angle from 180.

Step-by-step explanation:

If you have 40 and 30 you subtract them from 180 to find the missing lengh

Answer: The number of sets contain any 4 numbers = 210

Step-by-step explanation:

Given: Universal set = {0,1,2,3,4,5,6,7,8,9}.

i.e. Total choices = Numbers in set = 10

By combinations, the number of sets contain any 4 numbers =\(^{10}C_4\)

\(=\dfrac{10!}{4!6!}\ \ \ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{10\times9\times8\times7\times6!}{4\times3\times2\times1 \times6!}\\\\=210\)

Hence, the number of sets contain any 4 numbers = 210

Answer:

x + y ≤ 12

Step-by-step explanation:

Inequality:

   Not more than 12 means less than or equal to 12

x + y ≤ 12

The two given vectors' dot product is -1. And the required option is d.

The type of algebraic operation generated by multiplying the two given vectors is known as the dot product, also referred to as the scalar product. This is typically used when one needs to calculate the amount of work to be done, find a vector's position, and calculate the angle created between two vectors.

Consider two vectors \(\vec{a}\) and \(\vec{b}\) given by ⟨a₁, a₂, a₃⟩ and ⟨b₁, b₂, b₃⟩. Then, the dot product between these two vectors is written as, \(\vec{a}\cdot \vec{b}=a_1b_1+a_2b_2+a_3c_3\).

Let's consider the given vectors ⟨1, -2⟩ and ⟨3, 2⟩ as  \(\vec{a}\) and \(\vec{b}\). Then, their dot product is provided by,

\(\begin{aligned}\vec{a}\cdot\vec{b}&=(1\cdot 3)+(-2\cdot2)\\&=3-4\\&=-1\end{aligned}\)

The required answer is -1 and the correct option is d.

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The complete question is -

Find the dot product of <1, -2> and <3, 2>.

a) 1

b) <3, -4>

c) <4, 0>

d) -1

Answer:

x is 56 and y is 65

Step-by-step explanation:

Answer:

6 and -7

Step-by-step explanation:

6 - 7 = -1

6 * -7 = -42

Hope this helped!

Answer:

-7 and 6

Step-by-step explanation:

-7+6= -1 which is true

-7*6= -42 2hich is also true

Answer:

im sorry I dont know

Integrating this expression, we obtain: −20√4 cosθe−r2 + C, where C is the constant of integration. Therefore, the integral evaluates to this expression.

Using polar coordinates, we have:

20√4 − r cosθ20e−r2 − r sin2θ dr dθ

This simplifies to:

20√4 − r cosθ20e−r2 dr dθ

Now we can integrate:

∫20√4 − r cosθ20e−r2 dr dθ = −20√4 cosθe−r2 + C

Where C is the constant of integration.

This iterated integral can be evaluated by converting to polar coordinates. We first rewrite the integral as: 20√4 − r cosθ20e−r2 dr dθ. Integrating this expression, we obtain: −20√4 cosθe−r2 + C, where C is the constant of integration. Therefore, the integral evaluates to this expression.

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Algebraic expressions are mathematical statements made up of variables, constants, and operations, which can be simplified to -17x²+4x+5.

Given expression: -10x²+4x-7x²+5.A mathematical statement made up of variables, constants, and mathematical operations is known as an algebraic expression. It stands for a mixture of numbers and letters, where the letters are called variables and they can have various values. In algebra, relationships are represented and calculations are done using algebraic expressions.

The given expression can be simplified as:

Adding the like terms together,

we get,-10x²-7x²+4x+5

= -17x²+4x+5

Thus, the simplified expression is -17x²+4x+5.

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There are no values of k that allow us to factor the expression \($13x^2 kx - 8$\) as a product of linear binomials with integer coefficients.

To find the values of k that allow us to factor the quadratic expression \(13x^2 kx - 8\) as a product of linear binomials with integer coefficients, let's analyze the expression.

The quadratic expression is of the form \(ax^2 + bx + c\)  where a = 13, b = 13k, and c = -8

For factoring it as a product of linear binomials, we need to find two integers m and n such that (mx + n)(px + q) is equal to the given expression.

Expanding the product (mx + n)(px + q), we have:

\((mx + n)(px + q) = mpx^2 + (mq + np)x + nq\)

Comparing this with the given expression \(13x^2 kx - 8,\) we can deduce that mp = 13, mq + np = 13k, and nq = -8.

To find the values of k, we need to determine which values satisfy these conditions and allow us to find integer values for m, n, p, and q.

Considering the prime factorization of 13 and -8, we have \(13 = 13 \cdot 1\) and \(-8 = -1 \cdot 2^3\)

Case 1: m = 13 and p = 1

In this case, the condition nq = -8 becomes 13q = -8.

Since 13 is a prime number, there are no integer solutions for q.  

Thus, this case does not allow us to factor the expression with integer coefficients.

Case 2: m = 1 and p = 13

In this case, the condition nq = -8 becomes q = -8 and n = 1.

Therefore, we have mq + np = 13k, which simplifies to -8 + 13n = 13k. Solving for n, we get \(n = \frac{8 + 13k}{13}.\)

For the expression to be factored with integer coefficients, n must be an integer.

Hence, 8 + 13k must be divisible by 13.

It means 8 must be divisible by 13, which is not possible.

Therefore, there are no values of k that allow us to factor the expression \($13x^2 kx - 8$\) as a product of linear binomials with integer coefficients.

In summary, no values of k satisfy the conditions for factoring the expression \(13x^2 kx - 8\) as a product of linear binomials with integer coefficients.

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The complete question may be like: Consider the quadratic expression \($13x^2 kx -8.\)

We want to find values of k that allow us to factor it as a product of linear binomials with integer coefficients.

Determine all such values of k.

Answer:

5200

Step-by-step explanation:

\(\huge {\red{5.2 \times {10}^{3}}} = \orange {5200} \)

Answer:

640 yard²

Step-by-step explanation:

From the question,

The surface are of a triangular prism is given as

A = bh+2ls+lb.................. Equation 1

Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s =  length of one of the other sides of the triangle

Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.

Substitute these values into equation 1

A = [(12×8)+(2×17×10)+(17×12)]

A = 96+340+204

A = 640 Yard²

Step-by-step explanation:

(5x - 2y³)² = (5x - 2y³)(5x - 2y³) =

25x² - 10xy³ - 10xy³ + 4y⁶ = 25x² - 20xy³ + 4y⁶

so, the third answer option is correct.

If one is interested in measuring the effects of a moderating variable, one can build it into the design as an independent variable.

To measure the effects of a moderating variable, it can be built into the design as an independent variable.

When studying the relationship between two variables, a moderating variable is a factor that influences the strength or direction of the relationship.

It is also known as an interaction variable. In order to measure the effects of a moderating variable, it is important to incorporate it into the research design.

To build a moderating variable into the design, it is treated as an independent variable.

An independent variable is a variable that is manipulated or controlled by the researcher.

By including the moderating variable as an independent variable, researchers can examine how it interacts with the other variables of interest.

The moderating variable is often operationalized by creating different groups or conditions based on its levels. For example, in a study investigating the impact of teaching method (independent variable) on student performance (dependent variable), the moderating variable could be student motivation.

The researchers can build the moderating variable into the design by dividing participants into high and low motivation groups, and then examining how the teaching method affects their performance differently.

By incorporating the moderating variable as an independent variable, researchers can systematically examine its influence on the relationship between the other variables. This allows for a deeper understanding of how and under what conditions the relationship changes.

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The integer -5 represents Kyle’s location relative to Nadim’s location on the game board.

It is given in the question that Kyle and Nadim are on the same space on a board game they are playing. Kyle moves back 2 spaces in one turn and moves back 3 more spaces in his second turn while Nadim remained in the same place.

We have to find the integer that represents Kyle’s location relative to Nadim’s location on the game board.

We usually denote going ahead by the positive sign and the going back by the negative sign.

Hence, Kyle moving back 2 spaces and then again moving back 3 spaces is equal to moving back 5 spaces which will be represented by the integer -5.

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Anael can not use the fourth board measurement. This can be solved by using the concept of inch scale.

A centimeter is smaller than an inch. On the other side of the centimeter ruler, inches are denoted by the large, continuous hash marks that are inscribed above the digits. On a ruler, the inch is the largest unit and is denoted by the longest line. There is a number next to each 1-inch line on the ruler that designates.

Since the international yard was adopted in the 1950's and 1960's, standards for the precise length of an inch have fluctuated, but the inch is now based on the metric system and is defined as precisely 25.4 mm.

The question given here,

the first board measurement: \(99\frac{3}{4} =\) 99 inch ± 0.75 inch

the second board measurement: \(99\frac{7}{8} =\) 99 inch ± 0.875 inch

the third board measurement: \(100\frac{1}{6} =\) 100 inch ± 0.16 inch

the fourth board measurement: \(100\frac{5}{16} =\) 100 inch ± 0.3125 inch

the fifth board measurement: \(99\frac{13}{16} =\) 99 inch ± 0.8125 inch

Thus, Anael can not use the fourth board measurement.

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The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:

27

Step-by-step explanation:

Given the expression

\(\left(3^{-6}\times 3^{3}\right)^{-1}\\\)

According to law of indices, this can be written as;

\(\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27\)

Hence the required answer is 27

Answer:

ig its a translation bc its not rotated, reflected or dilated

Step-by-step explanation:

hope this helps

Answer:

p=5

Step-by-step explanation:

-25=-5p

p=-25/-5

p=5

PLEASE, PLEASE GIVE BRAINLIEST

Answer:

Note: A percentage is always a number over 100.      (34% = \(\frac{34}{100}\))

Cost of meal = 100%

Cost of tip = 34%

Total = 134%

134% = \(\frac{134}{100}\)

To find the total and the tip, you must multiply it by \(\frac{134}{100}\)

Answer:

Bill times the 0.34 percent equals the price of the tip. After you find what the tip is, you add the base price (the bill price) to the tip and you get the total number paid. However, another way you can solve (in one step) this is by adding 1.00 to the percent you are multiplying by which in this case we add 0.34 by 1.00 and this gives us 1.34. Suppose we set the bill to 4 dollars and use the normal way (2-step equation) by doing 3(0.34) which is 1.02 and 1.02 + 3 = 4.02 as our final answer / final bill. However, when we do our one-step equation, we can write this as 3x(1.34) and this is equal to 4.02.

1st Step

Bill(0.34) = tip

tip + bill = total

2nd Step (one-step equation)

Note: we are going to set the bill in this equation as $4

4(1.34) = total; Total = 4.02 ← We added 1.00 to the tip percentage in decimal form.

The given statement "As the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant." is False because error increases.

As the level of confidence increases, the required sample size will increase when the error and standard deviation are held constant.

This is because as the level of confidence increases, the range of the confidence interval also increases, which requires a larger sample size to ensure that the estimate is precise enough to capture the true population parameter with the desired level of confidence.

For example, if we want to estimate the mean height of a population with a 95% confidence interval and a margin of error of 1 inch, we would need a larger sample size than if we were estimating the same mean height with a 90% confidence interval and the same margin of error.

The larger sample size ensures that the estimate is more precise and that we have a higher level of confidence that it captures the true population parameter.

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Answer:

The 7th graders earn the 50 points.

Step-by-step explanation:

3.89 is in minutes I assume?

3.89 > 1

7th graders earn the 50 points.

Answer: the price is 1,5 8-ounce price

Step-by-step explanation: The unitary price is the same, but the quantity is  12/8 = 1,5.

The 12-ounce price should be 1,5 more than the 8-ounce price.

Answer:

x= 19/12, -41/12

Step-by-step explanation:

I'm guessing x is "t".

The quadratic formula is x=(-b+-sqrtb^2-4ac)/2a I know that this is hard to read sorry!

Plug in a, b, and c.

Oh yeah, first convert it to the form Ax^2+bx+c

so 6x^2-35=-11x

6x^2+11x-35=0

(-11+-sqrt11^2-(-4*6*35))/2*6

Simply: (-11+-sqrt 121+840)/12

(-11+-sqrt961)/12

(-11+-31)/12

-11+30=19

-11-30=-41

x= 19/12, -41/12

Answer:

k=2

Step-by-step explanation:

Answer:

k=3/4

Step-by-step explanation:

-8k+6=-10k+10k

-8k+6=0

6=8k

8k=6

k=6/8

k=3/4

As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have the 4 x 5 matrix.

And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.

Now, we have to apply the value of

a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.

Then we get the matrix of 3 x 3 looks like the following,

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, we have to do the following steps in order to get the reduced row echelon form of A,

The first and foremost steps is to take the non-zero number in the first row is the number 1.

Then we have to place any non-zero rows are placed at the bottom of the matrix.

This steps are repeated until the final row becomes zero.

Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

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