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3 years ago

Show me how to solve -12=2+h

Mathematics

2 answers:

Blizzard [7]3 years ago

8 0

-12=2+h, you would use inverse operations. You would subtract 2 from each side. You would get h=-14

vaieri [72.5K]3 years ago

5 0

First, you subtract 2 from -12 which gives you -14.

The new equation is -14 = h.

Which that will be your answer.

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3 years ago

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Charlie walked a distance of 500 meters to school. It took him 5 minutes to arrive at school from home. What is his average spee

Nikolay [14]

Answer:

100 meters per minute

Step-by-step explanation:

Find his average speed by dividing the distance he walked by the number of minutes it took him:

500/5

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2 years ago

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A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is 4%. At the ch

ivolga24 [154]

Answer:

(a) 0.9412

(b) 0.9996 ≈ 1

Step-by-step explanation:

Denote the events a follows:

$P$ = a person passes the security system

$H$ = a person is a security hazard

Given:

$P (H) = 0.04,\ P(P^{c}|H^{c})=0.02\ and\ P(P|H)=0.01$

Then,

$P(H^{c})=1-P(H)=1-0.04=0.96\\P(P|H^{c})=1-P(P|H)=1-0.02=0.98\\$

(a)

Compute the probability that a person passes the security system using the total probability rule as follows:

The total probability rule states that: $P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})$

The value of P (P) is:

$P(P)=P(P|H)P(H)+P(P|H^{c})P(H^{c})\\=(0.01\times0.04)+(0.98\times0.96)\\=0.9412$

Thus, the probability that a person passes the security system is 0.9412.

(b)

Compute the probability that a person who passes through the system is without any security problems as follows:

$P(H^{c}|P)=\frac{P(P|H^{c})P(H^{c})}{P(P)} \\=\frac{0.98\times0.96}{0.9412} \\=0.9996\\\approx1$

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.

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2 years ago

Seqouya has 1/2 of a liter of apple juice which fills 1/3 of her glass. How many glasses will 1 liter of apple juice fill

zavuch27 [327]

Answer:

2/3 of her glasses

Step-by-step explanation:

If 1/2 liter apple juice fills 1/3 of her glasses, then twice that volume will fill twice as many glasses: 2/3 of her glasses.

4 0

2 years ago

PLEASE HELP!

sesenic [268]

Answer:

$36\sqrt{3}$

Step-by-step explanation:

Hi!

Since an equilateral triangle means that every side is equal, our triangle will have 12 on all sides.

To find the height of an equilateral triangle we use $\frac{a\sqrt{3}}{2}$ .

$\frac{12\sqrt{3} }{2} = 6\sqrt{3}$ .

So the height is $6\sqrt{3}$ .

Now we have to solve 12 * $6\sqrt{3}$ ÷ 2.

$12 \cdot 6\sqrt{3} = 72\sqrt{3}$

$72\sqrt{3}\: \div\: 2 = 36\sqrt{3}$ .

Thus, the area of the triangle is $\boxed{36\sqrt{3}}$ .

Hope this helps!

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3 years ago