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3 years ago

Which of the following is a rational number?

Mathematics

1 answer:

densk [106]3 years ago

3 0

An irrational number is a number that cannot be expressed as a fraction, like Pi
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The square root of 2 is irrational as it cannot be expressed as a fraction since the decimal never stops and never repeats.
Same goes for the square root of 3, and 5
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Square root of 1 is rational as because the square root of 1 is 1, and the number 1 can be expressed as a fraction (1/1)

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The value of a certain car, in dollars, x years from its model year can be predicted by the function f(x)=12,000(0.89)x . The va

scZoUnD [109]

An exponential decay function is:

f=ir^t, f=final amount, i=initial amount, r=common ratio, t=number of times ratio is applied...We can see the initial value is 17000 so all we really have to find is the common ratio, or "rate" as some call it :P If we look at the second point, when t=1 we can see:

14280=17000r

r=357/425

r=0.84

So in five years the SUV will be worth more than the car by:

17000(0.84^5)-12000(0.89^5)

$408.73 (to the nearest cent)

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2 years ago

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Solve in fraction form.

inysia [295]

Answer:

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3 years ago

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Molybdenum rods are produced by a production line setup. It is desirable to check whether the process is in control, i.e. equal

ikadub [295]

Answer: Test statistic = -8 and rejected region is (-∞,-1.966) and (1.966, ∞)

Step-by-step explanation:

Since we have given that

X is the length of a rod.

Sample Mean = 2 inches

Standard deviation = 0.5 inches

n = 400

Hypothesis are

$H_0:\mu=2.2\\\\H_1:\mu\neq 2.2$

Test statistics would be

$t=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}}\\\\t=\dfrac{2-2.2}{\dfrac{0.5}{\sqrt{400}}}\\\\t=-8$

Degrees of freedom = n-1 =400-1 =39

and $\alpha =0.05\\\\\dfrac{\alpha }{2}=\dfrac{0.05}{2}=0.025$

Using the t-distribution table, we get that critical value z = 1.966

Since the two tail test will be applied to this,

So, the acceptance region will be (-1.966, 1.966)

Hence, the rejected region will be (-∞,-1.966) and (1.966, ∞)

5 0

2 years ago

Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ra

Sedbober [7]

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

$\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10$

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

8 0

2 years ago

Please answer question now

masha68 [24]

Answer:

3.1(3) mm

Step-by-step explanation:

V = l x d x h

188 mm³ = 5mm x d x 12mm

188mm² = d×60mm²

d = 188mm³/60mm²

= 3.1(3) mm

7 0

3 years ago