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2 years ago

Help!!! ASAP pleaseee!!

Mathematics

1 answer:

Alla [95]2 years ago

5 0

Answer:

1. The two numbers are 4 and 8.

Step-by-step explanation:

1) variables: x and y

2) x + y = 12, y - x = 4

3) graph using desmos or another graphing calculator

4) the solution is x = 4, y = 8, or 4 and 8. This means that 4 and 8 can be added to equal 12, and the difference between them is 4.

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"Brad is trying to determine the Cp of a process. The USL is 10, the LSL is 2, and the standard deviation is 1. What is the Cp"

MatroZZZ [7]

Answer:

1.33

Step-by-step explanation:

Given that:

Upper specification limit ( USL ) = 10

Lower specification limit ( LSL ) = 2

the standard deviation σ = 1

What is the Cp"

The Cp is the process capability ratio which can be expressed by the formula:

$C_P = \dfrac{USL -LSL}{6 \times \sigma}$

$C_P = \dfrac{10 -2}{6 \times 1}$

$C_P = \dfrac{8}{6}$

$C_P = \dfrac{4}{3}$

$C_P =1.33$

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2 years ago

Find the distance traveled by a particle with position (x, y as t varies in the given time interval. x = 3?sin2 t, y = 3?cos2 t,

ANTONII [103]

Assuming the particle's position is given by

$\begin{cases}x(t)=3-\sin2t\\y(t)=3-\cos2t\\0\le t\le4\end{cases}$

then the distance traveled over the interval is

$\displaystyle\int_{t=0}^{t=4}\sqrt{\left(\dfrac{\mathrm dx(t)}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy(t)}{\mathrm dt}\right)^2}\,\mathrm dt$
$=\displaystyle\int_0^4\sqrt{(-2\cos2t)^2+(2\sin2t)^2}\,\mathrm dt$
$=\displaystyle\int_0^4\sqrt{4\cos^22t+4\sin^22t}\,\mathrm dt$
$=\displaystyle2\int_0^4\mathrm dt$
$=2(4-0)=8$

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3 years ago

A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecti

serg [7]

Answer:

The order doesn’t matter, as the two events are probabilistically independent of one another. There are 13 spades in a standard 52 card deck, so the probability of drawing the number 5 is 13/52 or 1/4. The probability of heads is 1/2. The probability of both occurring is the product of the two probabilities, or 1/4*1/2 = 1/8 or 12.5%.

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2 years ago

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gavmur [86]

Answer:

1.25

Step-by-step explanation:

if you paid 7.50 for 6 feet of rope we can figure out how much each foot of rope is by example 750 divided by 6 which equals 1.25 .

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2 years ago

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