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2 years ago

Help explain how to do

Mathematics

1 answer:

sweet-ann [11.9K]2 years ago

4 0

Answer:

In the illustration it's finding the value of x and what degrees so the answer was

32°

Given: x=_____ degrees.

In the picture above we found 32°

Answer: x= 32° degrees

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The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.35 inches and a standard deviatio

Fiesta28 [93]

Answer:

15.87%

Step-by-step explanation:

Notice that the mean of 0.35 inches with a standard deviation of 0.01 gives you when you add (to the right of the distribution), exactly 0.36. Since you want to find the probability (or percentage) of the bolts that have diameter LARGER than 0.36 in, that means you want to estimate the area under the Normal distribution curve from 0.36 to the right). See attached image.

We can use the tables of Z distribution for that, or the standard normal tables:

P(x>0.36) = P(z>(0.36-0.35)/0.01) = P(Z>1) = 0.1587 = 15.87%

7 0

2 years ago

A large tank is filled to capacity with 600 gallons of pure water. brine containing 4 pounds of salt per gallon is pumped into t

nignag [31]

If $A(t)$ is the amount of salt in the tank at time $t$ , then the rate at which the amount of salt in the tank changes is given by

$\dfrac{\mathrm dA(t)}{\mathrm dt}=\dfrac{4\text{ lbs}}{1\text{ gal}}\dfrac{6\text{ gal}}{1\text{ min}}-\dfrac{A(t)\text{ lbs}}{600\text{ gal}}\dfrac{6\text{ gal}}{1\text{ min}}$
$\dfrac{\mathrm dA}{\mathrm dt}=24\dfrac{\text{lb}}{\text{min}}-\dfrac{A(t)}{100}\dfrac{\text{lb}}{\text{min}}$

Let's drop the units for now. We have

$\dfrac{\mathrm dA(t)}{\mathrm dt}+\dfrac{A(t)}{100}=24$
$e^{t/100}\dfrac{\mathrm dA(t)}{\mathrm dt}+e^{t/100}\dfrac{A(t)}{100}=24e^{t/100}$
$\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/100}A(t)\right]=24e^{t/100}$
$e^{t/100}A(t)=\displaystyle24\int e^{t/100}\,\mathrm dt$
$e^{t/100}A(t)=2400e^{t/100}+C$
$A(t)=2400+Ce^{-t/100}$

We're given that the water is pure at the start, so $A(0)=0$ , giving

$A(0)=0=2400+Ce^{-0/100}\implies C=-2400$

So the amount of salt in the tank (in lbs) at time $t$ is

$A(t)=2400\left(1-e^{-t/100}\right)$

4 0

2 years ago

Simon ,Connor &Bobby are playing with baseball cards . Connor takes4/10 of the cards , and Simon takes 2/10 of the cards. Wh

Elina [12.6K]

4/10 would be left you would make it a whole fraction at 10/10 then minus 4/10 and minus 2/10 that leaves 4/10 of cards. Hope this helps you out.

4 0

3 years ago

Read 2 more answers

Which statement is not true about these triangles?

ololo11 [35]

Answer: the answer is the second option.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Margo can purchase tile at a store for $.99 per tile and rent a tile saw for $10. At another store she can borrow the tile saw f

AURORKA [14]

Answer:

The indifference point is 20 tiles.

Step-by-step explanation:

First, we need to establish the total cost formulas for each store:

Store 1:

Total cost= 10 + 0.99*x

Store 2:

Total cost= 1.49*x

x= number of tiles

Now, we equal both formulas and isolate x:

10 + 0.99x = 1.49x

10= 0.5x

10/0.5=x

20=x

The indifference point is 20 tiles.

3 0

2 years ago