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Hunter-Best [27]
3 years ago
6

What sales tax, at a rate of 5%, must you pay on the purchase of a computer hard drive that costs $229?

Mathematics
1 answer:
Nata [24]3 years ago
4 0
Multiply 5% by 229

So, .05 x 229 = 11.45

$11.45 tax

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An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive pr
LenKa [72]

Answer:

(a) The correct option is: <em>H₀</em>: <em>p</em> = 0.02 vs. <em>Hₐ</em>: <em>p</em> < 0.02.

(b) Explained below.

(c) The better value of <em>α</em> will be 0.10.

Step-by-step explanation:

An automobile manufacturer is considering using robots for part of its assembly process only if there is strong evidence that the proportion of defective installations is less for the robots than for human assemblers.

To test whether the proportion of defective installations is less for the robots than for human assemblers use a single-proportion <em>z</em>-test.

(a)

The hypothesis can be defined as:

<em>H₀</em>: The proportion of defective installations is same for both the robots and  human assemblers, i.e. <em>p</em> = 0.02.

<em>Hₐ</em>: The proportion of defective installations is less for the robots than for human assemblers, i.e. <em>p</em> < 0.02.

The alternate hypothesis is the claim or the statement that is being tested.

In this case we need to test whether the proportion of defective installations is less for the robots than for human assemblers or not, so that the manufacturer can decide whether they want to apply the conversion.

Thus, the correct option is:

<em>H₀</em>: <em>p</em> = 0.02 vs. <em>Hₐ</em>: <em>p</em> < 0.02.

(b)

A type I error occurs when we discard a true null hypothesis and a type II error is made when we fail to discard a false null hypothesis.

In this case a type I error will be committed if conclude that the proportion of defective installations is less for the robots than for human assemblers when in fact it is not.

And a type II error will be committed if we fail to conclude that proportion of defective installations is less for the robots than for human assemblers.

(c)

The power of the test is the probability of rejecting a false null hypothesis.

The power of the test sis affected by the significance level of the test (<em>α</em>).

Lesser the significance level of the test the lesser is the power of the test.

If the value of <em>α</em> is reduced from 0.05 to 0.01 then the region of acceptance will increase. This implies that there is low probability of rejecting the null hypothesis even when it is false.

So higher the value of <em>α</em> the higher is the probability of making a correct decision.

Thus, the better value of <em>α</em> will be 0.10.

3 0
3 years ago
The area of the surface of the trampoline is equal to twice its perimeter. Find the dimensions of the trampoline.
grigory [225]
A = lw
A = (x + 6)4x
A = (x)4x + (6)4x
A = 4x² + 24x
5 0
3 years ago
What are the solutions to the nonlinear equations below y=4x x^2 + y^2=17
wolverine [178]

Answer:

x = 1 and x = -1

Step-by-step explanation:

Next time, please separate the equations with a comma or semicolon.  Thanks.

We can substitute 4x for y in the quadratic equation x^2 + y^2=17:

x² + (4x)²=17.

Then x² + 16x² = 17, or

17x² = 17, or x² = 1.  There are two solutions:  x = 1 and x = -1.

8 0
3 years ago
How would I solve (-2-2i)(-4-3i)(7+8i)
AlexFokin [52]
(-2-2i)(-4-3i)(7+8i)= \\\\ =(8+6i+8i+6i^2)(7+8i)=\\\\ =(6i^2+14i+8)(7+8i)= \\\\ =42i^2+98i+56+48i^3+112^2+64i= \\\\ =\boxed{48i^3+154i^2+162i+56}
8 0
3 years ago
Read 2 more answers
Sarah rolled a fair six-sided die 24 times. The table below shows the number of times each number was rolled:
viva [34]

The probability would be 15 over 24.

We can tell this because by the table, the number 2 was rolled 4 total times, the number 4 was rolled 9 total times and the number 6 was rolled 2 total times. When you add those together you get 15. You can state the probability by expressing with the number of times rolled over total times rolled. Since it was rolled a total of 24 times, we are left with 15/24.

6 0
3 years ago
Read 2 more answers
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