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Artyom0805 [142]
2 years ago
4

A scientist has a data set consisting of the temperature at which a chemical solution begins to evaporate. There are 500 measure

ments in the data set. He plans to estimate the standard error for the mean temperature by drawing a random sample from the data set consisting of 64 measurements. What formula would produce an estimate for the standard error of the sample?
Mathematics
1 answer:
maks197457 [2]2 years ago
3 0
The standard error (SE) is the standard deviation of the sampling distribution of a statistic.

The relationship between the standard deviation of a sample drawn from a population with the standard deviation of the population is defined such that, for a given sample size, the standard error equals the standard deviation divided by the square root of the sample size.

Therefore, the <span>formula that would produce an estimate for the standard error of the sample</span> is "<span>Divide the standard deviation of the sample measures by 8". [8 is the square root of 64].</span>
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Simplify the expression <br> (7v^2 )(10u^3v^5)(8uv^3)
Marizza181 [45]

Answer:

560v^{10}u^{4}

Step-by-step explanation:

Simplify the expression.

8 0
2 years ago
Which graph represents the piecewise-defined function?
chubhunter [2.5K]

Answer: The correct option is 1.

Explanation:

The given piecewise function is,

y=\begin{cases}-\frac{4}{5}x-3 & \text{ if } x

It means if x<0, then

f(x)=-\frac{4}{5}x-3

If x\geq2, then

f(x)=3x-10

Since the f(x) is defined for x<0 and x\geq2, therefore the function f(x) is not defined for 0\leq x.

From the graph 2, 3 and 4 we can easily noticed that for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.

Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for 0\leq x, hence the first option is correct.

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2 years ago
Prescription for Marilyn Jones
Vanyuwa [196]

Answer:

32  

Step-by-step explanation:

We can ignore Piroxicam, because it comes in capsules.

1. Number of Glucotrol tablets

Marilyn takes one tablet per day.

\text{No. of tablets} = \text{8 da} \times \dfrac{\text{1 tab}}{\text{1 da}} = \text{8 tab}

2. Number of Isoniazid tablets

Marilyn takes three tablets per day.

\text{No. tablets} = \text{8 da} \times \dfrac{\text{3 tab}}{\text{1 da}} =\text{24 tab}

3. Total tablets

Total tablets = 8 tab + 24 tab = 32 tab

Marilyn takes 32 tablets in eight days.

7 0
2 years ago
Given the trinomial 5x^2-2x-3, predict the type of solutions.
pishuonlain [190]

Consider the trinomial 5x^2-2x-3.

1. Find the discriminant:

D=b^2-4ac=(-2)^2-4\cdot 5\cdot (-3)=4+60=64,\\ \\\sqrt{D}=8>0.

2. Find the roots of given trinomial:

x_{1,2}=\dfrac{-b\pm \sqrt{D}}{2a}=\dfrac{2\pm 8}{2\cdot 5}=1,-0.6.

3. Conclusion: given trinomial has two different real roots.

3 0
2 years ago
Read 2 more answers
David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below.
Vikentia [17]

Answer:

Given Polynomial:

80b^4-32b^2c^3+48b^4c

Factors of Coefficient of terms

80 = 5 × 16

32 = 2 × 16

48 = 3 × 16

Common factor of the coefficient of all term is 16.

Each term contain variable. So the Minimum power of b is common from all terms.

Common from all variable part comes b².

So, Common factor of the polynomial = 16b²

⇒ 16b² ( 5b² ) - 16b² ( 2c³ ) + 16b² ( 3b²c )

⇒ 16b² ( 5b² - 2c³ + 3b²c )

Therefore, Statements that are true about David's word are:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property

8 0
2 years ago
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