To approximate the P(x<27) we need to find the z-score of the data, this will be given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
x=27, μ=32, σ=4
z=(27-32)/4
z=-5/4
z=-1.25
thus
P(x<27)=P(z<-1.25)
=0.1056
=10.56%

Answer: 10.56%

5 0

3 years ago

One week a computer store sold total of 36 computers and external drives. The revenue from these sales were $23490. If computers

yarga [219]

Answer:

X = 18

Y = 18

Step-by-step explanation:

first make two equation like

x + y = 36

1180x + 125y = 23490

from equation one we have

y = 36- x

put in second equation

1180x + 125 (36-x) = 23490

1180x + 4500-125x = 23490

1055x = 23490-4500

x = 18990/1055

x = 18

put this x value in equation 1 to find y value

18+ y = 36

y = 36-18

y = 18

5 0

3 years ago

Determine the function which corresponds to the given graph. (3 points)

damaskus [11]

Answer:

The center of the circle is c=50 and radius of the circle is $r=\sqrt{3}$

Step-by-step explanation:

Given circle equation is

$x^2-4x+y^2+14y=-50\hfill(1)$

Equation (1) can be written as $x^2-4x+y^2+14y+50=0\hfill(2)$

we know that the equation of the circle is of the form

$x^2+y^2+2gx+2fy+c=0\hfill(3)$

with centre (-g,-f) and radius= $\sqrt{g^2+f^2-c}$

when, g,f and c are constants

Now comparing the (2) and (3) equations we get 2g=-4

$g=\frac{-4}{2}$

$g=-2$

$2fy=14$

$f=\frac{14}{2}$

$f=7$

and $c=50$

Now to find the centre and radius of the given circle equation, substituting the values of g,f,c in the formulae of centre and radius

centre=(-g,-f)

=(-(-2),-7)

centre=(2,7)

Radius= $\sqrt{g^2+f^2-c}$

= $\sqrt{(-2)^2+(7)^2-50}$

= $\sqrt{4+49-50}$

= $53-50$

Radius= $\srqt{3}$

The center of the circle is c=50 and the radius of the circle equation $r=\sqrt{3}$

6 0

3 years ago

What area of a rectangular cloth is (x²+7xy +12y²)m². Find the length and the width of the rectangular cloth

IgorLugansk [536]

Use pemdas it would stay the same because there is no number to go in for x y or m

5 0

2 years ago