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3 years ago

10

Candace is visiting a local water park. The table shows information about the number of hours ( input values) and the total cost

(output values)
Can anyone help??
(it’s a timed quiz)

1 answer:

timurjin [86]3 years ago

4 0

Answer:

B. Domain: {1, 3.5, 5, 7.5, 9}

F. Range: {2, 6.50, 7.00, 9.00, 12.50}

Step-by-step explanation:

The set of input values make up the domain of the function, while the corresponding set of output values is the range of the function.

That is, the domain is the number of hours, while total cost is the total cost.

Domain would be: {1, 3.5, 5, 7.5, 9}

Range would be: {2, 6.50, 7.00, 9.00, 12.50}

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If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is

V125BC [204]

Answer:

The probability is $P(\= X < 40.4) = 0.84134$

Step-by-step explanation:

From the question we are told that

The mean is $\mu =40 \ \Omega$

The standard deviation is $\sigma = 2 \ \Omega$

The sample size is n = 25

The combined resistance is $\sum x_i = 1010 \ \Omega$

Generally the sample mean is mathematically represented as

$\= x = \frac{\sum x_i }{n}$

=> $\= x = \frac{1010 }{25}$

=> $\= x = 40.4 \ \Omega$

Generally the standard error of the mean is mathematically represented as

$\sigma_{x} = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_{x} = \frac{ 2 }{\sqrt{25} }$

=> $\sigma_{x} = 0.4$

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

$P(\= X < 40.4) = P( \frac{\= X - \mu }{\sigma_{x }} < \frac{ 40.4 - 40 }{0.4} )$

$\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )$

$P(\= X < 40.4) = P( Z < 1 )$

From the z table the area under the normal curve to the left corresponding to 1 is

$P(\= X < 40.4) = P( Z < 1 ) = 0.84134$

$P(\= X < 40.4) = 0.84134$

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3 years ago

Three to the -9 power over three to the -12 power simplify

ivolga24 [154]

Answer:

3³ = 27

Step-by-step explanation:

The applicable rules of exponents are ...

a^b = 1/a^-b

(a^b)(a^c) = a^(b+c)

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$\dfrac{3^{-9}}{3^{-12}}=(3^{-9})(3^{12})=3^{-9+12}=\boxed{3^3=27}$

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3 years ago

If Kirstie loads 35 racks into a truck per hour and Libby loads 50 racks into a truck in the same amount of time, how many more

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Answer:

Libby loaded 60 more racks than Kirstie.

Step-by-step explanation:

35 x 4 = 140

50 x 4 = 200

200 - 140 = 60

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3 years ago

What is the perimeter

ella [17]

Answer: The continuous line forming the boundary of a closed geometric figure.

Step-by-step explanation:

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Job A -Sales- offers a base salary of $1,000 per week plus 3% commission on all sales above $3000. Job B -Sales- offers a base s

Ivahew [28]

Answer:

Job A pay <u>$25</u> than Job B.

Step-by-step explanation:

Given:

Job A -Sales- offers a base salary of $1,000 per week plus 3% commission on all sales above $3000.

Job B -Sales- offers a base salary of $1,100 per week plus 2.5% commission on all sales above $3000.

The total sales for the week equal $25,000.

Now, to find how much more money Job A pay than Job B.

Total sales = $25,000.

Job A pay:

Base salary = $1,000.

Base salary plus 3% commission on $25000.

$1000 + 3% of $25000.

= $1000+\frac{3}{100}\times 25000$

$=1000+0.03\times 25000$

$=1000+750$

$=1750.$

Job A pay = $1750.

Now,

Job B pay:

Base salary = $1,100.

Base salary plus 2.5% commission on $25000.

$1,100 + 2.5% of $25,000.

$=1100+\frac{2.5}{100}\times 25000$

$=1100+0.025\times 25000$

$=1100+625$

$=1725$

Job B pay = $1725

So, by deducting the salary of Job B from Job A we get the more amount:

$1750-1725\\=25$

Therefore, Job A pay $25 than Job B.

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3 years ago