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lisabon 2012 [21]

3 years ago

6

On the coordinate plane shown, AB is a vertical segment with a length of 5 units. If A'B' is the image of AB after a rotation, w

hich must be true about A'B'

1 answer:

iVinArrow [24]3 years ago

6 0

Answer:

Step-by-step explanation:

200000000000000000000000000000000000

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Zachary has been trying to work on an essay for almost three hours, but he can't seem to focus for more than 15 or 20 minutes at

malfutka [58]

He should take breaks every 15 minutes and he should also eat a healthy snack and drink lots of water

4 0

3 years ago

There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?

Sergeu [11.5K]

Answer:

0.46 is the left over 23/50 is the fraction

4 0

3 years ago

Wires manufactured for use in a computer system are specified to have resistances between .12 and .14 ohms. The actual measured

White raven [17]

Answer: a) 0.9544996

b) 0.9999366

Step-by-step explanation:

Given : The actual measured resistances of wires produced by company A have a normal probability distribution with mean $\mu=0.13$ ohm and standard deviation $s=0.005$ ohm.

Wires manufactured for use in a computer system are specified to have resistances between .12 and .14 ohms.

Let x be the random variable that represents the value of resistance in wires.

Using formula for z-score , $z=\dfrac{x-\mu}{s}$

The z-value at x= 0.12 will be

$z=\dfrac{0.12-0.13}{0.005}=-2$

The z-value at x= 0.14 will be

$z=\dfrac{0.14-0.13}{0.005}=2$

The p-value : $P(-2$

$=0.9772498-(1-P(z$

Hence, the probability that a randomly selected wire from company A’s production will meet the specifications = 0.9544996

b) Sample size : n= 4

Using formula for z-score , $z=\dfrac{x-\mu}{\dfrac{s}{\sqrt{n}}}$

The z-value at x= 0.12 will be

$z=\dfrac{0.12-0.13}{\dfrac{.005}{\sqrt{4}}}=-4$

The z-value at x= 0.14 will be

$z=\dfrac{0.14-0.13}{\dfrac{.005}{\sqrt{4}}}=4$

The p-value : $P(-4$

$=0.9999683-(1-P(z$

The probability that all four in a randomly selected system will meet the specifications = 0.9999366

3 0

3 years ago

Mrs Allen gave some peanuts to her children to take to the zoo. Zach got half the peanuts, Wendy got one-fourth of what was left

Effectus [21]

Answer:

240 peanuts

Step-by-step explanation:

Let x be the number of peanuts Mr. Allen had.

Zach got half the peanuts, then Zach got $\dfrac{x}{2}$ peanuts and

$x-\dfrac{x}{2}=\dfrac{x}{2}$ peanuts left.

Wendy got one-fourth of what was left, then Wendy got

$\dfrac{1}{4}\cdot \dfrac{x}{2}=\dfrac{x}{8}$ peanuts and

$\dfrac{x}{2}-\dfrac{x}{8}=\dfrac{3x}{8}$ peanuts left.

The twins, Ron and Don shared the remaining peanuts, then each of them got

$\dfrac{1}{2}\cdot \dfrac{3x}{8}=\dfrac{3x}{16}$ peanuts.

If Ron got 45 peanuts, then

$\dfrac{3x}{16}=45,\\ \\3x=45\cdot 16,\\ \\x=15\cdot 16,\\ \\x=240\ \text{peanuts.}$

8 0

3 years ago

Use the Distributive Property to rewrite the algebraic expression.

KonstantinChe [14]

Answer:

7x+14

Step-by-step explanation:

7 times x = 7x

7 times 2 = 14

put it together 7x+14

3 0

2 years ago

Read 2 more answers