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3 years ago

Is -115.5 rational or irrational

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

4 0

Answer:

Rational

Step-by-step explanation:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0. It is also rational because it can be represented as a ratio between two numbers which is usually not the case in irrational numbers.

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QUALITY CONTROL1)Specifications for a part for a DVD player state that the part should weigh between 24.6 and 25.6 ounces. The p

Phantasy [73]

Answer:

Step-by-step explanation:

Given that,

μ = 25.1

σ = 0.26

a) since standard deviation is ideal measure of dispersion , a combination of control chart for mean x and standard deviation known as

$\bar x \\\text {and}\\\mu$

Chart is more appropriate than $\bar x$ and R - chart for controlling process average and variability

so we use

$\bar x \\\text {and}\\\mu$ charts

n = 11

we have use 2 σ confidence

so, control unit for $\bar x$ chart are

upper control limit = $\mu +2\times\frac{ \sigma}{\sqrt{n} }$

lower control limit = $\mu -2\times\frac{ \sigma}{\sqrt{n} }$

control limit = μ

μ = 25.1

upper control limit =

$25.1+2\times \frac{0.26}{\sqrt{11} } \\\\=25.2567$

lower control limit =

$25.1-2\times \frac{0.26}{\sqrt{11} } \\\\=24.9432$

Upper control limit and lower control limit are in between the specification limits , that is in between 24.9 and 25.6

so, process is in control

c) if we use 3 sigma limit with n = 11

then

upper control limit = $\mu +3\times\frac{ \sigma}{\sqrt{n} }$

$25.1+3\times\frac{0.26}{\sqrt{11} } \\\\=25.3351$

lower control limit = $\mu -2\times\frac{ \sigma}{\sqrt{n} }$

$25.1-3\times\frac{0.26}{\sqrt{11} } \\\\=24.8648$

control limit is 25.1

Then, process is in control since upper control limit and lower control limit lies between specification limit

So, process is in control

7 0

3 years ago

Instructions:Select the correct answer.

photoshop1234 [79]

The proper answer for that is 278.842

8 0

4 years ago

If cos x = sin(20 + x) ° and 0°

Varvara68 [4.7K]

Answer:

x = 35°

Step-by-step explanation:

The question is as following

cos x = sin(20 + x)° and 0° < x < 90° , find X?

==============================================

cos x = sin(20 + x)°

sin and cos are co-functions,

which means that: cos x = cos [90 - (20 + x)]

∴ x = 70 - x

∴ 2x = 70

∴ x = 35°

======================

Note: cos θ = sin ( 90 - θ )

4 0

3 years ago

You roll a pair of fair dice until you roll “doubles” (i.e., both dice are the same). what is the expected number, e[n], of roll

bonufazy [111]

We need to define our outcomes and events.

Finding the probability of each event occurring separately, and then multiplying the probabilities is the step to finding the probability of two independent events that occur in sequence.

To solve this problem, we take note of this:

The roll of the two dice are denoted by the pair

(I, j) ∈ S={ (1, 1),(1, 2),..., (6,6) }

Each pair is an outcome. There are 36 pairs and each has probability 1/36. The event “doubles” is { (1, 1),(2, 2)(6, 6) } has probability p= 6/36 = 1/6. If we deﬁne ”doubles” as a successful roll, the number of rolls N until we observe doubles is a geometric (p) random variable and has expected value E[N] = 1/p = 6.

3 0

3 years ago

Determine the net pay if gross pay was $546.54 and the following deductions were taken out. Federal tax $66.00, state tax

kirill115 [55]

Answer:

416.87, you subtract all from gross pay.

Step-by-step explanation:

546.54-66-21.86-33.89-7.92=416.87

3 0

3 years ago