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5 days ago

Even though the actual concentration of sodium in the drinking water is within the limit, there is a0.0974 probability that the

water department will erroneously advise its customers of an above-limit concentration of sodium. Suppose that the water department wants to reduce its risk of erroneously notifying its customers that the sodium concentration is above the limit. Assuming the water department can’t change the mean or the standard deviation of the sodium concentration in the drinking water, is there anything the department can do to reduce the risk of notifying its customers that the sodium concentration is above the limit when it actually is not? No, there is nothing it can do. It can collect more specimens over the course of the year. It can collect fewer specimens over the course of the year.

Mathematics

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A high school theater club has 40 students, of whom 6 are left-handed. Two students from the club will be selected at random, on

babunello [11817]

Response:

$1.92\%$

Detailed explanation:

Probability for an event is calculated as the ratio of the size of the event space compared to that of the sample space.

The sample space encompasses all possible outcomes.

Event space represents the number of favorable outcomes for the event in question.

Thus

Let

x ------> size of event space

y ----- → size of sample space

$P=\frac{x}{y}$

Calculate the probability of the first student being left-handed

we have

$x=6$

$y=40$

substituting values

$P=\frac{6}{40}$

Simplify

$P=\frac{3}{20}$

Calculate the probability of the second student being left-handed

we have

$x=6-1=5$

$y=40-1=39$

substituting values

$P=\frac{5}{39}$

Calculate the probability that both selected students will be left-handed

Multiply the probabilities together.

$P=\frac{3}{20}(\frac{5}{39})=\frac{15}{780}$

Convert to percentage

Multiply by 100

$\frac{15}{780}(100)=1.92\%$

4 0

2 months ago

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? m – negative StartFractio

zzz [12365]

Answer: To remove fractions prior to solving, each term in the equation must be multiplied by $4$ .

Step-by-step explanation:

Consider the given expression:

$-\frac{3}{4}m-\frac{1}{2}=2+\frac{1}{4}m$

It is essential to simplify this before attempting to solve it.

Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.

Break down the denominators into their prime components:

$4=2*2=2^2\\2=2$

Select $2^2$ , as it possesses the greatest exponent. Thus:

$LCD=2^2=4$

Ultimately, to remove the fractions before solving, multiply both sides by 4:

$(4)(-\frac{3}{4}m)-(4)(\frac{1}{2})=(4)(2)+(4)(\frac{1}{4}m)\\\\-3m-2=8+m$

7 0

2 months ago

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line o

Svet_ta [12734]

Given:

A quadratic function has a line of symmetry positioned at x = –3.5 with one root located at –9.

To find:

The second root.

Solution:

It is understood that the line of symmetry splits the quadratic function's graph into two identical halves. Hence, both roots are equidistant from this line.

This implies that the line of symmetry passes through the midpoint of the two roots.

Let the other root be denoted as x.

$-3.5=\dfrac{(-9)+x}{2}$

Multiply both sides by 2.

$-7=-9+x$

Add 9 to both sides.

$-7+9=-9+x+9$

$2=x$

Consequently, the other zero of the quadratic function is concluded to be 2.

8 0

2 months ago

On Monday, Amie rides her bike from home to school. After school, she bikes to work. After work, she bikes home. Based on the in

zzz [12365]

To obtain a complete response, the diagram would be essential. However, to approximate the solution, I'd calculate the distances from her home to her school and combine that with the stretch from school to work, and finally, from work back home. If there’s no information regarding the distance from work to home, I’d simply double the traveled distance already accounted for.

4 0

1 month ago

Read 2 more answers

Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential fu

Leona [12618]

Answer:

Choice C. $6,012

Step-by-step explanation:

We know that

The formula to find the depreciated value is given by

$V=P(1-r)^{t}$

where

V stands for the depreciated value

P represents the original value

r corresponds to the depreciation rate in decimal

t refers to the Number of Time Periods

In this scenario, we have

t = 7 years

P = $8,000

r = 0.04

Plug these into the formula mentioned earlier

$V = 8,000(1-0.04)^{7} = 6,012$

Hope this assists you:)

4 0

2 months ago