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3 years ago

The following formula relates three quantities force mass and acccelerations F=ma

Mathematics

1 answer:

belka [17]3 years ago

6 0

True. Dissect "F=ma" and you'll get "Force," "mass" and "acceleration."

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10 yards 1 foot 9 inches divided by 3

AysviL [449]

Answer:

127 inches

Step-by-step explanation:

A single yard is equal to 3 feet. So one yard 1 foot and 9 inches is:

$3(10)+1$ and 9 inches.

each feet has 12 inches, so it goes something like this:

$12(31)+9$ inches

multiply it out:

$372+9\\381$

Thats the total number of inches, now we divide by 3 (use long division:

$\frac{381}{3}=127$

Hope this helps!

6 0

3 years ago

Let X1, . . . ,Xn be an i.i.d. random sample from a N(0, 1) population. Define Y1 = 1 n n X i=1 Xi , Y2 = 1 n n X i=1 |Xi| . Cal

nalin [4]

For each $1\le i\le n$ , $E[X_i]=0$ , so that

$\displaystyle E[Y_1]=E\left[\frac1n\sum_{i=1}^nX_i\right]=\frac1n\sum_{i=1}^nE[X_i]=0$

Meanwhile,

$\displaystyle E[Y_2]=\frac1n\sum_{i=1}^nE[|X_i|]$

Each of the $X_i$ have PDF

$f_{X_i}(x)=\dfrac1{\sqrt{2\pi}}e^{-x^2/2}$

for $x\in\Bbb R$ . From this we get

$E[|X_i|]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty|x|e^{-x^2/2}\,\mathrm dx=\sqrt{\frac2\pi}\int_0^\infty xe^{-x^2/2}\,\mathrm dx=\sqrt{\frac2\pi}$

$\implies E[Y_2]=n\sqrt{\dfrac2\pi}$

8 0

3 years ago

Will mark BRAINLIEST and give 5 stars

JulsSmile [24]

Answer:

364

Step-by-step explanation:

Hope this helps.

3 0

3 years ago

Heated-treated parts are specified to have a hardness of at least 45 (lower specification limit). Any parts that are below 45 ar

Nataly_w [17]

Answer:

$P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

The figure shows the calculation for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the hardness of a population, and for this case we know the distribution for X is given by:

$X \sim N(48.5,2)$