Enter the values for the highlighted variables to complete the steps to find the sum:

Using the standard normal table, the probability that Seth’s light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is abo

lana66690 [7]

Answer:

How many standard deviations above the mean is 14,500 hours? 1.25 1.5 2.5 Using the standard normal table, the probability that Seth's light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about ✔ 89% .

5 0

1 year ago

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Which expression is equivalent to mc003-1.jpg?

Nookie1986 [14]

Answer:

Option A is correct

The expression which is equivalent to $(f\cdot g)(5)$ is $f(5) \cdot g(5)$

Step-by-step explanation:

Using the formula:

$(f \cdot g)(x) = f(x) \cdot g(x)$ .....[1]

Given the expression:

$(f\cdot g)(5)$

Substitute the value of x = 5 in [1]

we get;

$(f \cdot g)(5) = f(5) \cdot g(5)$

Therefore, the expression which is equivalent to $(f\cdot g)(5)$ is $f(5) \cdot g(5)$

8 0

2 years ago

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The graph of f(x) = StartRoot x EndRoot is reflected across the x-axis and then across the y-axis to create the graph of functio

Anna35 [415]

Answer:

The only value that is in the domains of both functions is 0

The range of g(x) is all values less than or equal to 0

Step-by-step explanation:

As the original function is

$f(x) = \sqrt{x}$

Since, domain is the set of all possible input values that define the function, and range is the set of all possible output values for all possible domain values for which the function is defined.

The domain of $f(x) = \sqrt{x}$ will be [0, ∞)

The range of $f(x) = \sqrt{x}$ will be [0, ∞)

Please check the attached figure a for visualizing the graph of $f(x) = \sqrt{x}$ .

Impact of double transformation:

When the function $f(x) = \sqrt{x}$ is reflected across x-axis, the function becomes $y = -\sqrt{x}$ after first transformation

After the second transformation across y-axis, the function $y = -\sqrt{x}$ becomes $g(x) = -\sqrt{-x}$

For

$g(x) = -\sqrt{-x}$

$-x$ must be equal to or greater than zero for $g(x) = -\sqrt{-x}$ to be defined i.e. -x ≥ 0.

So,

-x ≥ 0 can be written as x≤ 0

So,

The domain of $g(x) = -\sqrt{-x}$ will be (∞, 0]
The range of $g(x) = -\sqrt{-x}$ will be (∞, 0]

Please check the attached figure a for visualizing the graph of $g(x) = -\sqrt{-x}$ .

So, from the above discussion, we can say that

0 is the only that is in the domain of both function.
The range of g(x) is all values less than or equal to 0

So,

Only two statements are true about the functions f(x) and g(x) are true which are:

The only value that is in the domains of both functions is 0

The range of g(x) is all values less than or equal to 0

Keywords: graph, function

Learn more about graph and function from brainly.com/question/11152594

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8 0

1 year ago

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7. A hotelier conducted a survey of guests staying at her hotel. The table shows some

jonny [76]

Answer:

here's the solution :-

Step-by-step explanation:

i hope it helped...

8 0

2 years ago

*Please Help* (Guaranteed brainliest for correct answer!)

FinnZ [79.3K]

Lets say that Williams current age is x, since it is currently unknown
From here we know that in 15 years (x+15) he will be 3 times his age 5 years prior (3x-5). Thus we can set these equations up as equal to one another
1) x + 15 = 3(x - 5)
2) x + 15 = 3x-15
3) 30= 2x
4) 15 = x
5) Now this age is his current age of 15 years, but they also want his age 15 years from now
The equation is x + 15 = 3(x - 5)

This should be correct now, sorry for the misconception. Good luck

3 0

2 years ago

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