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3 years ago

In a normal curve, roughly what percent of all cases fall within plus or minus two standard deviations

Mathematics

1 answer:

Rainbow [258]3 years ago

5 0

Answer:

We know that the total area under the normal curve is 100%. According to the empirical rule of Normal distribution:

Approximately, 68% of data lies within $\pm1$ standard deviations of mean.

Approximately, 95% of data lies within $\pm2$ standard deviations of mean.

Approximately, 99.7% of data lies with $\pm3$ standard deviations of mean,

Therefore, in a normal curve, roughly 95% of all cases fall within plus or minus two standard deviations.

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Grandma baked many biscuit cakes. She glazed a quarter of all the cakes with chocolate, and decorated a third of the rest of the

Ede4ka [16]

Answer:

Grandma baked 72 cakes

Step-by-step explanation:

Let x=biscuits cake baked by grandma

1/4x=chocolate

1/3x=nuts

1/4+1/3=3+4/12

=7/12x

Remaining

X-7/12x

=12-7x/12

=5/12x

1/2 of 5/12x=fruit

5/24x =fruit

Remaining

5/12x-5/24x=15

10-5/24x=15

5/24x=15

x=15÷5/24

=15*24/5

=360/5

=72

x=72 cakes

Grandma baked 72 cakes

3 0

4 years ago

Read 2 more answers

(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: What is the approximate equation of this line of be

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

In order to write the equation of this line, we need to pick 2 points on the graph where the line goes right through the intersection of the grids. Actually, you only need 1 of these, because the line goes through at (0, 15). Another point then can be (6, 6). Locate this point so you know what I means when I say that the line goes right through where the grids intersect at x = 6 and y = 6 (as opposed to somewhere in the middle of one of these grids). Find the slope between these 2 points:

$m=\frac{6-15}{6-0}=-\frac{9}{6}=-\frac{3}{2}$

Since there's only one choice with that slope, that is the choice you want.

5 0

3 years ago

Sec^2 theta/tan theta = sec theta x csc theta

Andreas93 [3]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• tan x = $\frac{sinx}{cosx}$

• sec x = $\frac{1}{cosx}$ , csc x = $\frac{1}{sinx}$

Consider the left side with x = Θ

$\frac{sec^2x}{tanx}$

= $\frac{1/cos^2x}{\frac{sinx}{cosx} }$

= $\frac{1}{cos^2x}$ × $\frac{cosx}{sinx}$

= $\frac{1}{cosxsinx}$

= $\frac{1}{cosx}$ × $\frac{1}{sinx}$

= secxcscx = right side ⇒ verified

7 0

3 years ago

What is the diameter of a circle with a radius of 497^2?

Olenka [21]

Answer:

494018

Step-by-step explanation:

you are trying to find the diameter of the circle, it is usually half the length of a radius, but since 497 squared is how long a radius is (unless the question asked that the area if 497 inches squared), i can't really give you a clear answer, but the diameter is 247009 times 2 which is 494018

6 0

3 years ago

A phone can update 6 apps every 4 minutes. At this rate, how many apps can the phone update in 10 minutes? Show your work.

Arada [10]

Answer:

15 apps.

Step-by-step explanation:

Divide 6 by 4, and you get how much apps that phone can do in a single minute. Then multiply that number by 10 and you get 15 apps in 10 minutes.

6 0

3 years ago