Mary-Ann has $28, which is 2 1 3 as much money as Lola has. How much money does Lola have? find the number

The proportions of the population identified as intellectually disabled or as gifted differ, with a relatively small percentage being identified as intellectually disabled and a slightly larger percentage identified as gifted.

The identification of individuals as intellectually disabled or gifted is based on specific criteria and assessments. Intellectual disability refers to individuals who have significantly below-average intellectual functioning and limitations in adaptive behavior. Giftedness, on the other hand, refers to individuals who demonstrate exceptional abilities or potential in one or more areas.

The proportion of the population identified as intellectually disabled tends to be relatively small. According to the World Health Organization, approximately 1-3% of the global population has an intellectual disability.

In contrast, the proportion of the population identified as gifted is also relatively small but can vary depending on the criteria used for identification. Estimates suggest that around 2-5% of the population may be considered gifted.

Therefore, the proportions of the population identified as intellectually disabled or as gifted differ, with a relatively small percentage being identified as intellectually disabled and a slightly larger percentage identified as gifted.

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the correct answer is a. is the average value for the random variable over many repeats of the experiment.

The expected value of a discrete random variable is a measure of the average or long-term outcome that can be expected from the variable. It is denoted by E(X) or μ, where X represents the random variable.

Mathematically, the expected value is calculated as the sum of each possible value of the random variable multiplied by its corresponding probability. If X takes on values x₁, x₂, ..., xₙ with probabilities p₁, p₂, ..., pₙ respectively, then the expected value can be expressed as:

E(X) = x₁ * p₁ + x₂ * p₂ + ... + xₙ * pₙ

In simpler terms, you multiply each value of the random variable by its probability and sum up these products to obtain the expected value.

The expected value provides a way to summarize the central tendency or average outcome of a random variable and is a fundamental concept in probability theory and statistics.

Therefore, the correct answer is a. is the average value for the random variable over many repeats of the experiment.

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Complete question is below

What is the expected value of a discrete random variable

a. is the average value for the random variable over many repeats of the experiment.

b. will always be one of the values x can take on, although it may not be the highest probability value for the random variable

The expected value of a discrete random variable is the average value that we would expect to obtain if we repeated the experiment many times. It is calculated by multiplying each possible value of the random variable by its corresponding probability and summing up these products.

The expected value of a discrete random variable is a measure of the central tendency of the variable. It represents the average value that we would expect to obtain if we repeated the experiment many times.

To calculate the expected value, we multiply each possible value of the random variable by its corresponding probability and sum up these products.

Let's say we have a discrete random variable X with possible values x1, x2, x3, ..., xn, and their corresponding probabilities p1, p2, p3, ..., pn. The expected value E(X) is calculated as:

E(X) = x1 * p1 + x2 * p2 + x3 * p3 + ... + xn * pn

For example, if we have a fair six-sided die, the possible values are 1, 2, 3, 4, 5, and 6, each with a probability of 1/6. The expected value of the die roll would be:

E(X) = 1 * 1/6 + 2 * 1/6 + 3 * 1/6 + 4 * 1/6 + 5 * 1/6 + 6 * 1/6 = 3.5

Therefore, the expected value of a fair six-sided die roll is 3.5.

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Answer:

46 questions correct

Step-by-step explanation:

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer:

.01

Step-by-step explanation:

you need first to write zero before the number 1

After the base is moved 4 feet away from the wall, the new height will be 46.7 feet.

We can view this as a right triangle, the length of the ladder is the hypotenuse, and we know that originally the ladder is set against the side of a house so that reaches up 48 feet.

The distance between the base of the ladder and the wall is given by Pythagorean's theorem, we can write:

D = √(50² - 48²)

D = 14

The original distance is 14ft, if we increase this by 4 we will get 18ft.

Now we can use the theorem again to get the new height:

H =  √(50² - 18²) = 46.7

So the new height is 46.7 feet.

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Answer:

\(31 + 2 - 8(3) \\ \\ = 31 + 2 - 24 \\ \\ 33 - 24 \\ \\ = 9\)

# be careful#

Answer:

Multiply 8x3

Step-by-step explanation:

Orders of operations state that parenthesis should be the first step in solving an equation

P-parenthesis

E-exponents

M- multiplication

D-division

A- addition

S- subtraction

Answer:

21) B. (5,45)

22) B. As the temperature decreases, hot chocolate sales increase.

Answer:

impossible

unlikely

neither unlikely nor likely

likely

certain

Step-by-step explanation:

The limit does exist for lim x→49 (x^2 - 7x - 49) and it approaches value of 2009.

The limit can be found using algebraic manipulation. First we will try plug in the value and see if we can determine the limit. We have:

lim x→49 (x^2 - 7x - 49) = 49^2 - 7×49 - 49 = 2009

So limit exist at x^2 - 7x - 49 and it can be found out by simple substitution.

So, as x approaches 49, the expression x^2 - 7x - 49 approaches 2009.

Therefore, lim x→49 x^2 - 7x - 49 = 343.

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Answer:

\(\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}\)

Step-by-step explanation:

\(\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125\)

The observed allele frequencies for the T102C locus are as follows: T allele frequency = 0.388 and C allele frequency = 0.612.


To calculate the observed allele frequencies, we divide the number of occurrences of each allele by the total number of alleles observed.

In this case, the T allele is observed in 108 TT genotypes and 194 TC genotypes, giving a total of 108 + 194 = 302 T alleles. Similarly, the C allele is observed in 194 TC genotypes and 48 CC genotypes, giving a total of 194 + 48 = 242 C alleles.

To calculate the T allele frequency, we divide the number of T alleles by the total number of alleles: 302 T alleles / (302 T alleles + 242 C alleles) = 0.388 (or approximately 0.39).

Similarly, the C allele frequency is calculated as: 242 C alleles / (302 T alleles + 242 C alleles) = 0.612 (or approximately 0.61).

Therefore, the observed allele frequencies for the T102C locus are T allele frequency = 0.388 and C allele frequency = 0.612.

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The probability that more than 40% of 100 randomly selected physicians were sued is about 10%. Therefore, the answer is b. About 10%.

To determine the probability that more than 40% of 100 randomly selected physicians were sued, we need to find the mean and standard deviation of the sampling distribution and then use the z-score to find the probability.

1. Find the mean (µ) and standard deviation (σ) of the sampling distribution:
µ = p = 0.34 (the proportion of physicians sued for malpractice)
q = 1 - p = 0.66 (the proportion of physicians not sued for malpractice)
n = 100 (sample size)

\(Standard deviation (σ) = \sqrt{\frac{pq}{n} }  = \sqrt{\frac{(0.34)(0.66)}{100} } = 0.047\)

2. Calculate the z-score for the desired proportion (40% or 0.40):
\(z = \frac{X-µ}{σ}  = \frac{0.40-0.34}{0.047} = 1.28\)

3. Use a z-table or calculator to find the probability associated with the z-score:
P(Z > 1.28) =0.100 (rounded to three decimal places)

The probability that more than 40% of 100 randomly selected physicians were sued is about 10%. Therefore, the answer is b. About 10%.

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standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\(y=-\cfrac{2}{3}x-1\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y)=3\left( -\cfrac{2}{3}x-1 \right)} \\\\\\ 3y=-2x-3\implies {\Large \begin{array}{llll} 2x+3y=-3 \end{array}}\)

Answer: i think -22/3 and 6/17

Step-by-step explanation:

Answer:

2 marks would be reasonable as you have wrote the write calculation

The instantaneous acceleration at time t = 11.25 s is a = 8 m/s².  

What is acceleration?

A definition of acceleration is the speed at which velocity varies with respect to time. Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is the first derivative of velocity with respect to time or the second derivative of position with respect to time.

The graph for the acceleration points are given.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

From graph instantaneous acceleration at time 11.25s is 8 m/s².  

Therefore, the value is obtained as a = 8 m/s².  

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If you conclude that a soda filling machine is not filling bottles completely based on the results of a sample, it means that the sample of bottles you tested showed evidence of incomplete filling.

However, it is important to note that this conclusion is based on a sample and may not represent the behavior of the entire population of filled bottles.

To make a more reliable conclusion about the filling machine's performance, you would need to conduct a statistical analysis to determine the significance of the observed incomplete filling. This analysis could involve hypothesis testing or confidence interval estimation.

Hypothesis testing allows you to assess whether the observed incomplete filling is statistically significant or could have occurred by chance. You would formulate a null hypothesis, such as "the filling machine fills bottles completely," and an alternative hypothesis, such as "the filling machine does not fill bottles completely." By comparing the sample data to the expected behavior under the null hypothesis, you can determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

The statistical analysis would involve calculating a test statistic, such as a t-test or a z-test, and determining the associated p-value. The p-value represents the probability of observing the sample data or more extreme data if the null hypothesis is true. If the p-value is below a predetermined significance level (e.g., 0.05), you would reject the null hypothesis and conclude that the filling machine is not filling bottles completely.

Additionally, you could also estimate a confidence interval for the proportion of bottles that are filled completely. This would provide a range of values within which the true proportion of completely filled bottles is likely to fall. If the lower limit of the confidence interval is below a desired threshold (e.g., 100%), it would provide further evidence that the filling machine is not consistently filling bottles completely.

It is crucial to note that drawing conclusions based on a sample has inherent limitations. The sample may not accurately represent the entire population of filled bottles, and there is always a margin of error associated with any statistical analysis. Therefore, it is recommended to conduct a larger-scale study or perform ongoing monitoring to obtain more reliable and comprehensive evidence about the filling machine's performance.

In summary, if you conclude that a soda filling machine is not filling bottles completely based on the results of a sample, it is an indication of potential issues with the machine. However, to make a more robust conclusion, you would need to conduct a statistical analysis, such as hypothesis testing or confidence interval estimation, to determine the significance of the observed incomplete filling. This analysis helps account for sampling variability and provides a more reliable assessment of the machine's performance.

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Answer: answer is $33.60

Step-by-step explanation:

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

60 in³

Step-by-step explanation:

Prism A is 2×3×5 which is 30in³

Prism B is 2 times the height, which means it is 4×3×5 which is 60

Answer:

3 1/3

Step-by-step explanation:

To multiply 5 by 2/3, multiply 5 by the numerator:

5•2=10

10/3

10/3 = 3 1/3

Answer:

3 and 1/3

Step-by-step explanation:

5 × 2/3

Answer:

249.40

Step-by-step explanation:

Researchers engage in experimentation to exercise maximum control over the factors they are interested in studying.

Generally, experimenter trials are used to control the study's variables. The experimental approach entails changing one variable to see if it affects another variable. This approach uses controlled exploration methods and arbitrary subject selection to test a thesis.

For illustration, experimenters might be interested in changing how colorful visual patterns may affect our perception. They might also consider whether specific actions can enhance memory. Multitudinous behavioral issues are the subject of trials, some of which include cognition, emotion, memory, perception, and sensation.

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24 - 36/36 * 100 = 33.34%

so,the percentage decrease in the price of the shirt is 33.34%.

24/36*100= 66.67

100-66.67 = 33.33

Answer:

150cm^2

Step-by-step explanation:

Answer:

pq= 12 cm

Step-by-step explanation:

I believe PQ would be 12 cm.

Answer:

720 mins

Step-by-step explanation:

There are 60 mins in each hour. 12 x 60 is 720

Answer:

720

Step-by-step explanation:

In an hour there is 60 so just times it by 12.