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3 years ago

7-3 x -2 / 5 + (-3)^3 using order of operations

Mathematics

1 answer:

Scrat [10]3 years ago

6 0

Decimal form: 18.8
Mixed number: -18 4/5
Exact form: -94/5

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The Spanish club began the year with $15.00 in its account. At the end of their candy sale fundraiser,the club had 654.75.How mu

Anit [1.1K]

Step 1: 654.75-15.00= $639.75
Therefore the club made $639.75

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3 years ago

Solve the equation<br> x/2 -8=19

MrRa [10]

Answer:

Step-by-step explanation:

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3 years ago

When a = a or 2 = 2, what type of solution do we have

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

a = a (true)

2 = 2 (true)

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3 years ago

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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

6 0

3 years ago

Read 2 more answers

The number of nails of a given length is normally distributed with a mean length of 5 in and a standard deviation of 0.03 find t

umka2103 [35]

Answer:

19 nails

Step-by-step explanation:

Let's first determine the z-score by using the formula:

$z=\frac{x-\mu}{\sigma}$

Where x=5.03, μ=5, σ=0.03 and so:

$z=\frac{5.03-5}{0.03}=1$

We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.

Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

$120 \times 0.1587 \approx 19$

And so 19 out of the 120 nails are greater than 5.03 inches long.

5 0

3 years ago