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2 years ago

What is the domain of the function f(x) = (-5/6)(3/5)superscript x

Mathematics

1 answer:

Georgia [21]2 years ago

5 0

Answer:

$-\infty < x < \infty$

Step-by-step explanation:

Given

$f(x) = (-\frac{5}{6}) \cdot (\frac{3}{5})^x$

Required

The domain

There are no undefined points such as denominator of x or square roots.

Hence, the domain is:

$-\infty < x < \infty$

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9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9

gladu [14]

Answer: a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

$x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)$

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

$\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976$

Hence, a) (176.76,172.24), b) 0.976.

8 0

3 years ago

4. An expression is shown.

Levart [38]

Here all three are the factor. {a+b} will be the sum and 1/2 is the term

Hopefully i am right

All the best ！！

3 0

3 years ago

3456.8 round the number below to the nearest whole number one place

fiasKO [112]

Answer:

I do not understand this question

4 0

2 years ago

Solve for u.<br> 36 – 9u = 27

strojnjashka [21]

Answer:

u = 1

Step-by-step explanation:

First, we can use inverse operations to help.

27 + 9u = 36

Next, we can start replacing u with numbers to find which number fits in u.

27 + 9(1) = 36

27 + 9(2) ≠ 36

27 + 9(3) ≠ 36

Now, we know that u = 1

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3 years ago

What is the surface area of a sphere with a radius of 5 meters rounded to the nearest square meter

GrogVix [38]

It would probably be 10 or 15

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2 years ago