What is 6.42 written as a fraction in lowest terms?

Answer:

28k+68

Step-by-step explanation:

Answer:

m

=

0.8

¯

3

Step-by-step explanation:

Answer:

its c, the minus makes the positive 3 negative and the neg 2 positive

Answer:

an obtuse angle are angles that are greater than 90 degrees

Step-by-step explanation:

an obtuse angle are angles that are greater than 90 degrees

Answer:

predict the impact of removing snakes from this food web

Ensuring that data is collected the same way each time it is collected is an example of data consistency.

Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.

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Answer:

Step-by-step explanation:

a) 64 (A=bh)

b) 96 ((16x12)÷2)

Answer:

Step-by-step explanation:

a) base = AB = 16 cm

height = DX = 6cm

Area of  the parallelogram = base * corresponding height to the base

                                            = 16 * 6

                                            = 96 sq. cm

Area of parallelogram =  96 sq .cm

BC * DY = 96

12 * DY = 96

      DY = 96/12

      DY = 8 cm

Answer:

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. 

According to the question,

Given data in the question.

If the genome contained 20,000 genes, the average length of DNA per gene will be 40,000 base pairs.

What is the average length of DNA per gene?

Only 2.5% of the human genome is protein-coding. Introns make up the remaining 97.5%. The male nuclear diploid genome is 6.27 Giga base pairs (G b p), 205.00 cm (cm) long, and 6.41 picograms in weight (p g). Female measurements are 6.37 G b p, 208.23 cm, and 6.51 p g

For a 25% mammalian genome with 20,000 genes, the total number of base pairs, which is the length of DNA per gene, will be approximately double the payment of genes contained in the genome, in this case 40,000.

The average length of DNA per gene, assuming 20,000 genes in the genome, is 40,000 base pairs.

How long does DNA typically be per gene?

Only 2.5% of the human genome codes for proteins. The remaining 97.5% is made up of introns. The size and weight of the male nuclear diploid genome are 6.27 Giga base pairs (G  bp), 205.00 centimetres (cm), and 6.41 picograms (p g). 6.37 G   bp, 208.23 cm, and 6.51 p g are the female measurements.

The total number of base pairs, which is 20,000 for a 25% mammalian genome with 20,000 genes,

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The average length of DNA per gene would be 40,000 base pairs if the genome had 20,000 genes.

The human genome only codes for proteins in 2.5% of it. The remaining 97.5% are introns. The male nuclear diploid genome measures 205.00 centimeters (cm), is 6.27 Gigabase pairs (Gbp), and weighs 6.41 picograms (pg). 208.23 cm, 6.51 pg, and 6.37 Gbp are the female measurements.

Although there may be some hereditary component to math aptitude, this probably only accounts for a small portion of it. Even in the current study, genetics alone could only account for 20% of math prowess. According to Libertus, "this leaves more than 80% of the variety in children's math aptitude unexplained."

The overall number of base pairs, which is the length of DNA per gene, will be roughly twice the number of genes present in the genome, in this example 40,000, for a 25% mammalian genome with 20,000 genes.

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Answer

Explanation

Given:

To determine whether the relation defines y as a function of x, we get the domain first.

Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.

Hence, the interval notation is:

We can use vertical line test to determine if it is a function as shown in the graph below:

As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:

Function; domain

The parameters needed to determine the sample size, denoted as 'n', are the desired level of confidence, the margin of error, and the population standard deviation. These parameters are essential in conducting a statistical analysis and obtaining reliable results.

The sample size is influenced by the desired level of confidence, which indicates the certainty of the results. A higher level of confidence requires a larger sample size. Similarly, a smaller margin of error, which represents the acceptable amount of deviation from the true population parameter, necessitates a larger sample size to achieve greater precision.

Additionally, the population standard deviation plays a crucial role in determining the sample size. If the standard deviation is known, it is used directly in the formula to calculate the sample size. However, if the standard deviation is unknown, a conservative estimate is often used, leading to a larger sample size.

Overall, determining the sample size involves considering the desired level of confidence, the margin of error, and the population standard deviation. By carefully selecting these parameters, researchers can ensure that their sample size is sufficient to provide accurate and reliable results for their analysis.

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Answer:

957

Step-by-step explanation:

By using basic property of rounding we got that nearest 5 of 956 is 955.

Rounding means making a number more simpler by keeping its value close to original value .

For round to the nearest 5 we round up or down the number to nearest multiple of 5

for example if number is 16 we will round down it to 15 and if number is 18 we will round up to 20 and if number is 12 we will round down to 10.

Here given number is 956

Two nearby multiple of 5 are 955 and 960 but we can see that 955 is more closer than 960 so we will round down 956 to 955.

By using basic property of rounding we got that nearest 5 of 956 is 955.

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The probability that a randomly selected steer weighs less than 2030 lbs is approximately 0.9821, or rounded to four decimal places, 0.9821.

The probability that the weight of a randomly selected steer is less than 2030 lbs, we will use the normal distribution, given the mean (µ) is 1400 lbs and the variance (σ²) is 90,000 lbs².

First, let's find the standard deviation (σ) by taking the square root of the variance:
σ = √90,000 = 300 lbs

Next, we'll calculate the z-score for the weight of 2030 lbs:
z = (X - µ) / σ = (2030 - 1400) / 300 = 2.1

Now, we can look up the z-score in a standard normal distribution table or use a calculator to find the probability that the weight of a steer is less than 2030 lbs. The probability for a z-score of 2.1 is approximately 0.9821.

So, the probability that a randomly selected steer weighs less than 2030 lbs is approximately 0.9821, or rounded to four decimal places, 0.9821.

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The variance of the average of the first 39 die rolls is approximately 0.1346.

Probability is a fundamental concept in mathematics and statistics that quantifies the likelihood or chance of an event occurring. It measures the degree of uncertainty associated with an outcome or event.

To calculate the variance of the average of the first 39 die rolls, we need to know the variance of a single roll of an 8-sided die. Assuming the die is fair, with each side equally likely, the variance of a single roll of an 8-sided die can be calculated using the formula:

Var(X) = [(n² - 1) / 12]

where n is the number of sides on the die. In this case, n = 8.

Var(X) = [(8² - 1) / 12]

= [(64 - 1) / 12]

= 63 / 12

= 5.25

Therefore, the variance of a single roll of an 8-sided die is 5.25.

Now, since the average of the first 39 die rolls is taken, and each roll is independent and identically distributed, we can apply the properties of independent and identically distributed random variables to find the variance of the average.

The variance of the average of a set of independent random variables can be calculated by dividing the variance of a single random variable by the sample size.

Var(X) = Var(Y) / n

where Var(X) is the variance of the average, Var(Y) is the variance of a single random variable, and n is the sample size.

In this case, Var(Y) = 5.25 (as calculated above) and n = 39.

Var(X) = 5.25 / 39

= 0.1346

Therefore, the variance of the average of the first 39 die rolls is approximately 0.1346.

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Answer:

thxs

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5x - 1 =3x +9

5x - 3x =9 +1

2x =10

x=10 :2

x=5

Answer:

1 in 3

Step-by-step explanation: I think don't quote me

The least common multiple of 20, 25 and 30 is 300.

Answer:

300

Step-by-step explanation:

20 = 2² × 5

25 = 5²

30 = 2 × 3 × 5

For the LCM, you need common and not common factors with higher exponent.

Out of 2² and 2, chose 2².

Out of 3 chose 3.

Out of 5 and 5² choose 5².

LCM = 2² × 3 × 5² = 300

Answer: 300

Answer:

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... Rays and lines cannot be congruent because they do not have both end points defined, and so have no definite length.

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

14.42

Step-by-step explanation:

Pythagorean theorem

The length and the width of the rectangle are 22 inches and 16 inches respectively

The given parameters are:

Length = 6 inches + width

Perimeter = 76 inches

The perimeter is calculated as:

Perimeter = 2 * (Length + Width)

This gives

76 inches = 2 * (6 inches + Width + Width)

Divide through by 2

38 inches = 6 inches + Width + Width

Evaluate the like terms

2 * Width = 32 inches

Divide both sides by 2

Width = 16 inches

Substitute Width = 16 inches in Length = 6 inches + width

Length = 6 inches + 16 inches

Evaluate

Length = 22 inches

Hence, the length and the width of the rectangle are 22 inches and 16 inches respectively

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When we reflect every point over the x axis...

The rule you use is \((x,y) \to (x,-y)\)

The x coordinate stays the same while the y coordinate flips in sign (in this case from negative to positive)

Answer:

Step-by-step explanation:

According to the diagram we observe:

As we know the exterior angle is same as the some of the remote interior angles.

It can be shown as:

Substitute the values and solve for x:

Find the measure of m∠ABC:

The matching answer choice is D.

To begin, let's define some of the terms mentioned in the question. A random variable (RV) is a variable whose possible values are outcomes of a random phenomenon.

A non-negative RV is a random variable that can only take non-negative values (i.e. values greater than or equal to zero).

A variable is a quantity or factor that can vary in value.

Now, let's look at the problem at hand.

We are given that G is an uniform random variable on [-t,t]. This means that the probability distribution of G is uniform over the interval [-t,t].

We are also given that X is a non-negative RV that is independent of G. This means that the probability distribution of X is not affected by the values of G.

Finally, we are asked to show that for any t >= 0, it holds:

(smoothing Markov)

To prove this, we can use the definition of conditional probability.

P(X > x | G = g) = P(X > x, G = g) / P(G = g)

By independence, we know that P(X > x, G = g) = P(X > x) * P(G = g).

Since G is a uniform RV, we know that P(G = g) = 1 / (2t) for any g in [-t,t].

So, we can simplify the equation as:

P(X > x | G = g) = P(X > x) * (2t)

Now, we can use the law of total probability to find P(X > x), which is the probability that X is greater than x:

P(X > x) = ∫ P(X > x | G = g) * P(G = g) dg

where the integral is taken over the interval [-t,t].

Substituting in the equation we derived earlier, we get:

P(X > x) = ∫ P(X > x) * (2t) * 1/(2t) dg

Simplifying, we get:

P(X > x) = 2 * ∫ P(X > x) dg

Now, we can use the definition of expected value to find E(X):

E(X) = ∫ x * f(x) dx

where f(x) is the probability density function of X.

Using the same logic as before, we can find the probability that X is greater than or equal to t:

P(X >= t) = 2 * ∫ P(X >= t) dg

Substituting this into the original equation, we get:

(smoothing Markov)

Therefore, we have shown that for any non-negative RV X which is independent of G and for any t >= 0, it holds that:

(smoothing Markov)

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Answer: c≈44°

Step-by-step explanation:

cos(c)=0,7193

c=arccos(0.7193)

c≈44°

Answer:

Step-by-step explanation:

9

Answer:

Diameter is 18 inches

Radius is half of diameter so 9 inches

Step-by-step explanation:

:)

Brainliest?

Answer:

1.) 18 in

2.) 9 in

Step-by-step explanation:

The diameter is 18 in as shown and the radius of a circle is ALWAYS half of the diameter. I hoped this helped for the future!!!

Answer:

Yes because the distance of (7,-7) from origin is equal to the radius of the circle.

Step-by-step explanation:

Answer:

It can be described as d. having no maximum and a minimum of 3.

Step-by-step explanation:

It can be described as d. having no maximum and a minimum of 3. The reason is because the dot is on 3, and doesn't have an arrow telling you that there is not minimum. The right has an arrow telling you that it doesn't have a maximum.