-2+6.45z-6+(3.25z) .

dmitriy555 [2]

Answer:

40

Step-by-step explanation:

We can see that at 1 minute there is 40 beats, at 2 minutes there is 80 beats, at 3 minutes there is 120 beats, at 4 minutes there is 160 beats and at 5 minutes there is 200 beats. If we divide each of the beats by its corresponding minute we will get 40

40 beats at 1 minute → 40 ÷ 1 = 40

80 beats at 2 minutes → 80 ÷ 2 = 40

120 beats at 3 minutes → 120 ÷ 3 = 40

160 beats at 4 minutes → 160 ÷ 4 = 40

200 beats at 5 minutes → 200 ÷ 5 = 40

3 0

3 years ago

n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contrac

JulsSmile [24]

Answer:

Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids

Step-by-step explanation:

We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out if there is an incorrect MPG rating from the manufacturer

Test Hypothesis :

Null hypothesis H₀ μ = μ₀

Alternative Hypothesis Hₐ μ ≠ μ₀

Significance Level α = 0,05 α/2 = 0,025

z(c) for α/2 from z-table z(c) = - 1, 96 and by symmetry z(c) = 1,96

Calculating z(s)

z(s) = ( μ - μ₀ ) / σ /√n

z(s) = ( 37,8 - 37,4 ) / 2,3 /√280

z(s) = 0,4 * 16,73 / 2,3

z(s) = 2,90

Comparison between z(c) and z(s)

z(s) > z(c) 2,90 > 1,96

Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids

8 0

3 years ago

2) A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone.Th

zavuch27 [327]

You have:

- The diameter of the cylinder is 12 inches and its height is 14 inches.
-The height of the cone is 6 inches.

So, you must apply the formula for calculate the volume of the cylinder a the formula for calculate the volume of a cone.

V1=πr²h

V1 is the volume of the cylinder.
r is the radius.
h is the height (h=14 inches)

The problem gives you the diameter, but you need the radius, so you have:

r=D/2
r=12 inches/2
r=6 inches

When you substitute the values into the formula, you obtain:

V1==πr²h
V1=(3.14)(6 inches)²(14 inches)
V1=1582.56 inches³

The volume of the cone is:

V2=(πr²h)/3

V2 is the volume of the cone.
r is the radius (r=6 inches)
h is the height of the cone (h=6 inches).

Then, you have:

V2=(πr²h)/3
V2=(3.14)(6 inches)²(6 inches)/3
V2=226.08 inches³

Therefore, the volume of the cake (Vt) is:

Vt=V1+V2
Vt=1582.56 inches³+226.08 inches³
 Vt=1808.6 inches³

8 0

3 years ago

Find the coordinates of P ' if D o, 2.4 (x,y) is applied to the triangle below

guajiro [1.7K]

Answer:

The coordinates of P' are (4.8,-4.8).

Step-by-step explanation:

The rule of dilation $D_{o,2.4}(x,y)$ represent the dilation with scale factor 2.4 and center at origin.