Need some help on this. any help is appreciated :) !!

Mathematics

1 answer:

kirza4 [7]3 years ago

7 0

If we think about a normal curve / bell curve and the 68-95-99.7 rule, we know that the majority of data will lie within 1, 2, or 3 standard deviations from the mean. The mean is in the center of the curve, and to each side of the mean, 34% of the data lies 1 standard deviation on either side of the mean. Therefore, we need to add and subtract one standard deviation from the mean.

85 + 12 = 97

85 - 12 = 73

Correct Answer: B. 73 - 97

Hope this helps!! :)

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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

2 years ago

Help me show work please

GREYUIT [131]

Angle 4 would also be 135. the two on the top would add to 180, making a whole circle altogether that equals 360. so, you would do 180-135 = 45. angle 5 is 45. angle 7 would also be 135 because angle 4 and 7 are vertical angles.

5 0

2 years ago

Combine 2y+1x=40 and y=2x using substitution

fomenos

2(2x) + 1x = 40 or 4x + 1x = 40 is the result of combining by substitution

Solution:

Given that we have to combine 2y + 1x = 40 and y = 2x using substitution method

The substitution method for solving systems of equations involves expressing one variable in terms of another, thus removing one variable from an equation.

Given equations are:

2y + 1x = 40 -------- eqn 1

y = 2x ----------- eqn 2

We can substitute eqn 2 in eqn 1

Which means, substitute y = 2x in place of y in eqn 1

2(2x) + 1x = 40

4x + 1x = 40

5x = 40

x = 8

From eqn 2,

y = 2(8)

y = 16