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kaheart [24]
3 years ago
6

The probability of selecting a consonant from the letters of the alphabet is 21/26

Mathematics
2 answers:
Margaret [11]3 years ago
6 0
Hello.
your statement is true.
Zolol [24]3 years ago
4 0

This is Theoretical Probability because it does not come from a specific experience of an individual (A P E X)!

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What is the decibel level of the radio with intensity 10−7 watts per square inch? Use a logarithmic model to solve.
BaLLatris [955]

Answer:

D = 50

Step-by-step explanation:

Given

I = 10^{-7}W/m^2 --- Intensity

Required

Determine the decibel level (D)

This is calculated as:

D = 10 * log(\frac{I}{I_n})

Where:

I_n = The threshold intensity

I_n =1 * 10^{-12}W/m^2

So, we have:

D = 10 * log(\frac{I}{I_n})

This gives:

D = 10 * log(\frac{10^{-7}W/m^2}{1 * 10^{-12}W/m^2})

D = 10 * log(\frac{10^{-7}}{10^{-12}})

Apply law of indices

D = 10 * log(10^{-7--12})

D = 10 * log(10^{5})

Apply law of logarithm

loga^b = b\ log(a)

So, we have:

D = 10 * 5 * log(10)

log(10)  =1

So:

D = 10 * 5 *1

D = 50

<em>Hence, the decibel level is 50</em>

7 0
3 years ago
Calculate the rate of change for each given function.
lions [1.4K]

Answer:

For function B the rise/run or the rate of change is 3/5 and for the chart would be 2

Step-by-step explanation:

Explain because its change in y/ change in x so up 3 over 5 would give 3/5 and for the chart is 2 because its change in y over change in x and since y is 4 and x is 2 4/2=2. hope this helps

5 0
3 years ago
How is the product of 2 and3 shown on a number line
TEA [102]

Answer:

the product is 6

Step-by-step explanation:

2 times 3 is 6

make a number line labeled 1 through 10 mark number 6

3 0
3 years ago
Read 2 more answers
What is the value of the right rectangular prism
storchak [24]
Hello!

To find the area of a rectangular prism you do 2(lw + lh + wh)

Put in the values

2(9 * 2 + 9 * 6 + 2 * 6)

2(18 + 54 + 12)

2(84)

2 * 84 = 168

The answer is 168 cubic inches

Hope this helps!

6 0
3 years ago
A printer toner company launches a new product. The number of pages that this new toner can print is normally distributed with a
Vitek1552 [10]

Answer:

Step-by-step explanation:

Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the number of pages.

µ = mean

σ = standard deviation

From the information given,

µ = 2300 pages

σ = 150 pages

1)

the probability that this toner can print more than 2100 pages is expressed as

P(x > 2100) = 1 - P(x ≤ 2100)

For x = 2100,

z = (2100 - 2300)/150 = - 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.092

P(x > 2100) = 1 - 0.092 = 0.908

2) P(x < 2200)

z = (x - µ)/σ/√n

n = 10

z = (2200 - 2300)/150/√10

z = - 100/47.43 = - 2.12

Looking at the normal distribution table, the probability corresponding to the z score is 0.017

P(x < 2200) = 0.017

3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is

- 1.88

Therefore,

- 1.88 = (x - 2300)/150

150 × - 1.88 = x - 2300

- 288 = x - 2300

x = - 288 + 2300

x = 2018

The threshold should be

x < 2018 pages

4 0
3 years ago
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