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3 years ago

Round off 53.96 to the nearest tenth

Mathematics

1 answer:

Ne4ueva [31]3 years ago

5 0

Answer:

54.0

Step-by-step explanation:

53.96

The bold number is in the tenth form and needs rounding off. So look at the number after the bold number (6).

Now 6 falls off the 5 or greater category, meaning that you have to add one to the bold number.

9 + 1 = 10

Now since the number is 10, you add the number before the bold number by 1 (underlined number) and replace the bold number by 0.

53.96

54.00

Since you are focusing on the tenth place, keep the zero sitting on that spot.

54.0

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Over the past decade, the mean number of hacking attacks experienced by members of the Information Systems Security Association

fredd [130]

Answer:

$P(X>600)=P(\frac{X-\mu}{\sigma}>\frac{600-\mu}{\sigma})=P(Z>\frac{600-510}{14.28})=P(z>6.302)$

And we can find this probability using the complement rule and the normal standard distribution and we got:

$P(z>6.302)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the number of attacks of a population, and for this case we know the distribution for X is given by:

$X \sim N(510,14.28)$

Where $\mu=510$ and $\sigma=14.28$

We are interested on this probability

$P(X>600)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X>600)=P(\frac{X-\mu}{\sigma}>\frac{600-\mu}{\sigma})=P(Z>\frac{600-510}{14.28})=P(z>6.302)$

And we can find this probability using the complement rule and the normal standard distribution and we got:

$P(z>6.302)=1-P(z$

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3 years ago

Find equation where line passes through (7,8) and perpendicular to line y=8

forsale [732]

Since in y=8, the slope is 0 (because there is no x) and b is 8 in y=mx+b, we know that the perpendicular line is x=(something) because the perpendicular lines of y=<number> are x=<number> due to that y=<number> equations are strictly horizontal while x=<number> equations are strictly vertical. Since we know that x=<number> has to pass through (7, 8), x =7

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2 years ago

Please can someone help with rearranging formulae? Will mark brainliest!

3241004551 [841]

Answer:

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2 years ago

The cloth top of the gazebo in Mr. Chang’s backyard has ripped from weathering. He needs to know the area of the cloth so he can

antoniya [11.8K]

Answer:

The correct answer is A. 60 square feet.

Step-by-step explanation:

1. Let's review the data provided to us for solving the question:

The gazebo in Mr. Chang's backyard, according to the figure, is a square pyramid because its base is a square of 6 feet as length of its sides.

Length of the sides of the base = 6 feet

Slant length = 5 feet

Height = 4 feet

2. How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?

Area of a square pyramid = Base area + 1/2 Perimeter * Slant length

Replacing with the real values, we have:

Area of a square pyramid = 6 * 6 + 1/2 (6 + 6 + 6 + 6) * 5

Area of a square pyramid = 36 + 1/2 (24) * 5

Area of a square pyramid = 36 + 12 * 5

Area of a square pyramid = 36 + 60

Area of a square pyramid = 96 feet ²

3. But remember than Mr. Chang doesn't need to replace the cloth at the bottom of the gazebo.

So we need to subtract the area of the base to the area of the square pyramid:

Area of the square pyramid - area of the base

Area of the base = 6 * 6 = 36 feet ²

96 feet ² - 36 feet ² = 60 feet ²

The correct answer is A. 60 square feet.

7 0

3 years ago

Read 2 more answers

The solution set for -2x^2+12x=0

natita [175]

Answer:

{0,6}

Step-by-step explanation:

-2x^2+12x = 0

Factor out a -2x

-2x(x-6) =0

Using the zero product property

-2x = 0 and x-6=0

-2x = 0

Divide by -2

-2x/-2 = 0/-2

x=0

x-6=0

Add 6 to each side

x-6+6 =0+6

x=6

The solutions are 0 and 6

7 0

2 years ago

Round off 53.96 to the nearest tenth​

Round off 53.96 to the nearest tenth