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KATRIN_1 [288]
2 years ago
13

Pls help pls helppp i will giving breanlist

Mathematics
1 answer:
GaryK [48]2 years ago
3 0

Answer:

[-5, 4) ∪ (4, ∞)

Step-by-step explanation:

Given functions:

f(x)=\dfrac{1}{x-3}

g(x)=\sqrt{x+5}

Composite function:

\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}

Domain: input values (x-values)

For (f\:o\:g)(x) to be defined:

x+5\geq 0 \implies x\geq -5

\sqrt{x+5}\neq 3 \implies x\neq 4

Therefore, -5\leq x < 4  and  x > 4

⇒  [-5, 4) ∪ (4, ∞)

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The dinner bill came to $72.48, and Julio tipped the waiter 15%. What is the total price of dinner?​
balu736 [363]

Answer:

It is 83.35 Unless your rounding up then it is 84 dollars

Step-by-step explanation:

5 0
3 years ago
A researcher is studying the monthly gross incomes of drivers for a ride sharing company. (Gross incomes represent the amount pa
Reptile [31]

Answer:

The histogram of the sample incomes will follow the normal curve.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

In this case the researches wants to determine the monthly gross incomes of drivers for a ride sharing company.

He selects a sample of <em>n</em> = 200 drivers and ask them their monthly salary.

As the sample selected is quite large, i.e. <em>n</em> = 200 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.

Thus, the histogram of the sample incomes will follow the normal curve.

8 0
3 years ago
A particular fruit's weights are normally distributed, with a mean of 406 grams and a standard deviation of 27 grams.The heavies
Tom [10]

Given

mean of 406 grams and a standard deviation of 27 grams.

Find

The heaviest 14% of fruits weigh more than how many grams?

Explanation

given

mean = 406 gms

standard deviation = 27 gms

using standard normal table ,

\begin{gathered} P(Z>z)=14\% \\ 1-P(Zso , [tex]\begin{gathered} x=z\times\sigma+\mu \\ x=1.08\times27+406 \\ x=435.16 \end{gathered}

Final Answer

Therefore , The heaviest 14% of fruits weigh more than 435.16 gms

8 0
1 year ago
HELP AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
diamong [38]

Answer:

3x+12y+4 -- is the simplified version, variables would be x and y

5 0
3 years ago
Which expression is equivalent to ^5 square root 13^3
joja [24]

Answer:

\sqrt[5]{13^3} = 13^{\frac{3}{5}}

Step-by-step explanation:

5 0
2 years ago
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