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3 years ago

Which is the equation for the parabola

Mathematics

1 answer:

JulijaS [17]3 years ago

5 0

2x3 not sure though

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Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans

Maurinko [17]

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3}{\sqrt{12}} = 0.3753$

P(sample mean hardness for a random sample of 12 pins is at least 51)

$P( x \geq 51) = P( z \geq \displaystyle\frac{51 - 50}{0.3753}) = P(z \geq 2.6645)$

$= 1 - P(z < 2.6645)$

Calculation the value from standard normal z table, we have,

$P(x \geq 51) = 1 - 0.9961= 0.0039$

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

3 0

4 years ago

JUST THE FIRST ONE EASY PLS ASAP

Sladkaya [172]

Answer:

<h2>For the first triangle, <u>x equals 22cm.</u></h2>

Here's how:-

x is the altitude or height of the triangle. To find it, we can use the Pythagoras theorem:-

$altitude^{2} + base^{2} = hypotenuse^{2}$

The base is 120cm and the hypotenuse is 122cm

Putting this in the equation, we get:-

$altitude^{2} + 120^{2} = 122^{2}$

$altitude^{2} = 122^{2}- 120^{2}$

$altitude^{2} = 14884 - 14400$

$altitude^{2}$ = 484

altitude = $\sqrt{484}$

<h3>altitude = 22cm</h3><h2><u>So, x = 22cm</u></h2>

7 0

3 years ago

Sally is making pillow covers. The last step is to add trim. She purchased 1 yard of trim, but used 3/8 of it on another project

makkiz [27]

Answer:

5/16 of a yard per pillow

Step-by-step explanation:

1. Divide 5/8 by 2 (or 2/1)

2. 5/8 * 1/2 (following the division of fraction models of 'keep, change, flip'

5*1 = 5 and 8 * 2 = 16 5/16

6 0

3 years ago

Write a rule for the linear function in the table.

Yuri [45]

I have no problem answering but it wont let me open the pdf. I will gladly give you your points back just thought that you should know

5 0

3 years ago

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Force is giving away tickets to a school play. She gives away 20 more adult tickets than children's tickets. She gives away 3 ti

swat32

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hope that helps :))

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3 years ago

Which is the equation for the parabola​

Which is the equation for the parabola