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3 years ago

What is the slope of the equation 2x + 2y = 8

Mathematics

1 answer:

rjkz [21]3 years ago

3 0

Answer:

slope= -1

Step-by-step explanation:

2x+2y=8

2y=-2x+8

y=-x+4

slope=-1

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ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately no

dimaraw [331]

Answer: 5.37

Step-by-step explanation:

Let x = ACT scores.

Given: ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately normal.

i.e. P(X>28)=0.09 (i)

Now,

$P(X>28)=P(\dfrac{X-\mu}{\sigma}>\dfrac{28-20.8}{\sigma})\\\\= P(z>\dfrac{7.2}{\sigma})\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]$ (ii)

One -tailed z value for p-value of 0.09 =1.3408 [By z-table]

From (i) and (ii)

$\dfrac{7.2}{\sigma}=1.3408\\\\\Rightarrow\ \sigma=\dfrac{7.2}{1.3408}\\\\\Rightarrow\ \sigma=5.37$

Hence, the standard deviation = 5.37

5 0

3 years ago

Given lines l, m and n are all parallel and cut by two transversal lines, find the value of x.

statuscvo [17]

Step-by-step explanation:

u should attach the picture of the question because its difficult to identify where x is located

kindly attach the picture

5 0

3 years ago

At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]

denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

$f(x) = x^3-2x^2-4x+1$ in the interval [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

$f(1) = 1-2-4+1 = -4\\f(0) = 1$

The value

$\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5$

Find derivative for f

$f'(x) = 3x^2-4x-4$

Equate this to -5 to check mean value theorem

$3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1$

We find that 1/3 lies inside the interval (0,1)

4 0

3 years ago

Find the sine of ∠U. A)48/55 B)48/73 C)55/48 D)55/73

charle [14.2K]

Answer:

D) 55/73

Step-by-step explanation:

The question is on trigonometry. Sine of an angle is obtained using the SOH of SOHCAHTOA formula of trigonometry. SOH is an acronym for sine, opposite and hypotenuse. Sine of an angle is obtained from the ratio of opposite and hypotenuse of a given triangle. Thus, SOH

is denoted as stated below.

$sine \: \beta = \frac{opposite}{hypotenuse}$