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3 years ago

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An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common fact

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1 answer:

Contact [7]3 years ago

7 0

Answer:

3pf² - 21p²f + 6pf - 42p²

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +0 2)

Answer: (3pf - 21p²)(f + 2)

Step-by-step explanation:

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The quality control department at Alexander Fasteners measured the length of 100 bolts randomly selected from a specified order.

erma4kov [3.2K]

Answer:

a) P [Z < 5.79] = 7.49 %

b) P [ Z > 7.46 ] = 82.38 %

c) P [ Z > 6.65 ] = 91.68 %

Step-by-step explanation:

Normal Distribution

Population Mean μ₀ = 6.8 cm

Standard Deviation of population σ = 0,7 cm

a) P [ Z < 5.79 ] = ??

z value ?

z = ( 5,79 - 6,8 ) / 0,7 ⇒ z = - 1.01 / 0,7 ⇒ z = - 1.442

From z table we get:

z = - 1.442 ⇒ P [Z < 5.79] = 0.0749 or

P [Z < 5.79] = 7.49 %

b) P [ Z > 7.46 ]

z = ( 7.46 - 6,8 ) / 0,7 ⇒ z = 0.66 / 0.7 ⇒ z = 0.942

From z table

P [ Z > 7.46 ] = 0.8238 or P [ Z > 7.46 ] = 82.38 %

c) P [ Z > 6.65]

z = ( 6.65 - 6.8 ) / 0.7 ⇒ z = - 0,15 / 0.7 ⇒ z = - 0.214

From table we get area between 6.65 and the mean, therefore we have to add ( 0.5 ) half of total area

Then from z table

z = - 0,214 ⇒ 0,4168

Then P [ Z > 6.65 ] = 0,4168 + 0.5

P [ Z > 6.65 ] = 0.9168 or

P [ Z > 6.65 ] = 91.68 %

P [ Z > 6,65 ] = 0,5 +

5 0

4 years ago

madreJ [45]

Answer:

the answer is A.

Step-by-step explanation:

to get the you would use the distributive property to multiple the 4 by the two term in the parentheses.

3 0

3 years ago

Read 2 more answers

A line passes through the points 3,10 and 6, 16 write the equation of this line in slope-intercept form

cluponka [151]

$(\stackrel{x_1}{3}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{16}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{16}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{3}}} \implies \cfrac{ 6 }{ 3 } \implies 2$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ 2}(x-\stackrel{x_1}{3}) \\\\\\ y-10=2x-6\implies {\Large \begin{array}{llll} y=2x+4 \end{array}}$

4 0

1 year ago

The lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B. Cone A radius is r and height h - Cyli

Mrac [35]

The ratio of the <em>lateral surface</em> area of cone A to the <em>lateral surface</em> area of cylinder B is equal to $r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}$ . (Correct choice: False)

<h3>What is the ratio of lateral area of cone to the lateral area of the cylinder?</h3>

In accordance with <em>space</em> geometry, the <em>lateral</em> areas of the cone and cylinder are described by the following equations:

Cone

$A_{l} = \pi \cdot r \cdot \sqrt{r^{2}+h^{2}}$ (1)

Cylinder

$A_{l} = 2\pi\cdot r\cdot h$ (2)

If we divide (2) by (1), then we have the following ratio:

$r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}$

The ratio of the <em>lateral surface</em> area of cone A to the <em>lateral surface</em> area of cylinder B is equal to $r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}$ . (Correct choice: False)

To learn more on surface areas: brainly.com/question/2835293

#SPJ1

3 0

2 years ago

Three players enter a room and a red or blue hat is placed on each person's head. The color of each hat is determined by a coin

Drupady [299]

Answer:

If you take into account all probabilities, and work on a strategy, rather than individual guesses, you can increase the probability.

Here are the possible outcomes:

BBB

BBR

BRB

BRR

RBB

RBR

RRB

RRR

If you use the strategy:

If a person sees a blue and a red, they pass;

If a person sees a blue and a blue, they guess red;

If a person sees a red and a red, they guess blue;

The probability comes out like this:

(B=blue, R=red, P=pass)

actual guess correct?

BBB RRR no

BBR PPR yes

BRB PRP yes

BRR BPP yes

RBB RPP yes

RBR PBP yes

RRB PPB yes

RRR BBB no

As you can see, this is a 6/8, or 75% chance of being correct.

8 0

3 years ago