How to solve 5 x to the 4th power

Name the slope of a line parallel to y = -3x -2

Iteru [2.4K]

Y=-3x for two slopes to be parallel they have to have the same slope but different y intercepts

4 0

3 years ago

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

PLEASE HELP ASAP!!!!! THANK YOU~

VashaNatasha [74]

Answer:

$y=4x^2-8x-4$

Step-by-step explanation:

<u>Quadratic Function</u>

The quadratic function can be expressed in the following form:

$y=a(x-x_1)(x-x_2)$

Where a is a real number different from 0, and x1, x2 are the roots or zeroes of the function.

From the conditions stated in the problem, we know

x_1=1+\sqrt{2}, \ x_1=1-\sqrt{2}

Substitute in the general formula above:

$y=a[x-(1+\sqrt{2})][x-(1-\sqrt{2})]$

Operate the indicated product

$y=a(x^2-2x-1)$

To find the value of a, we use the y-intercept which is the value of y when x=0, thus

$y=a(0^2-2(0)-1)=-4$

It follows that

$a=4$

Thus, the required quadratic function is

$y=4(x^2-2x-1)$

Or, equivalently

$\boxed{y=4x^2-8x-4}$

5 0

4 years ago

Andreas drew the model below to represent the equation What is the missing value in Andreas’s equation?

vaieri [72.5K]

Answer:

20 + 10 = blank × (4 + 2)

30 = blank × 6

blank = 30 ÷ 6 = 5

8 0

3 years ago

Sharmila had 5/6 portion of the cake. She gave 2/6 portion of the whole cake to

zlopas [31]

Answer: $\dfrac{3}{6}$

Step-by-step explanation:

Given

Sharmila has $\frac{5}{6}$ portion of cake

she gave $\frac{2}{6}$ portion to her brother

The remaining cake is given by

$\Rightarrow \dfrac{5}{6}-\dfrac{2}{6}=\dfrac{5-2}{6}\\\\\Rightarrow \dfrac{3}{6}$

i.e. $\frac{3}{6}$ portion of cake will remain with her

8 0

3 years ago