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Marta_Voda [28]
2 years ago
14

Given and prove Statement and reason

Mathematics
1 answer:
dimaraw [331]2 years ago
3 0

Answer:jo

Step-by-step explanation:

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Suppose the waiting times in an emergency room are normally distributed with a mean (mean) of 40 and a standard deviation (sigma
kipiarov [429]

Answer:

0.68269

Step-by-step explanation:

When we are to find the z score for population where a random sample is picked, the z.score formula we use is

z = (x-μ)/Standard error, where

x is the raw score,

μ is the population mean

Standard error = σ/√n

σ is the population standard deviation

n = random number of samples

For : x = 38 minutes, μ = 40, σ = 10, n = 5

z = 38 - 40/10 /√25

= -2/10/5

= -2/2

= -1

Determining the probability value using z table

P(x = 38) = P(z = -1)

= 0.15866

For : x = 42 minutes, μ = 40, σ = 10, n = 25

z = 42 - 40/10 /√25

= 2/10/5

= 2/2

= 1

Determining the probability value using z table

P(x = 42) = P(z = 1)

= 0.84134

The probability that their average waiting time will be between 38 and 42 minutes is calculated as

P(-Z<x<Z)

= P(-1 < x < 1)

= P(z = 1) - P(z = -1)

= 0.84134 - 0.15866

= 0.68269

Therefore, the probability that their average waiting time will be between 38 and 42 minutes is 0.68269

3 0
3 years ago
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.Which statement about the function is true?
LekaFEV [45]

Answer:

The first statement is true.

Step-by-step explanation:

The function is f(x) = - (x + 6)(x + 2)  

⇒ f(x) = - x² - 8x - 12

Now, condition for a function f(x) to be increasing at x = a is f'(a) > 0.

Now, f(x) = - x² - 8x - 12

⇒ f'(x) = -2x - 8 {Differentiating with respect to x}

Now, f'(a) = -2a - 8 {Here a can be any real value}

And, the condition for increasing function at x = a is  

- 2a - 8 > 0

⇒ - 2a > 8

⇒ a < - 4

Therefore, the first statement is true i.e. the function is increasing for all real values of x where  x < – 4. (Answer)

4 0
2 years ago
If g(r) =2(r-1), Find g(10)
garri49 [273]

Answer:

g(r) = 18

Step-by-step explanation:

Substitute 10 into r

g(10) = 2( (10) -1)

        = 2(9)

        = 18

7 0
3 years ago
How do i solve 92-53.3
alexandr402 [8]

Answer:

the answer for 92-53.3 is 38.7

7 0
3 years ago
Read 2 more answers
Two cities are 150 miles apart. The map that Eric is reading has a scale of 2 inches = 25 miles. How far apart are the two citie
sasho [114]

Answer:

12 inches

Step-by-step explanation:

2 inches = 25 miles

25 * 6 = 150 miles

6 0
2 years ago
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