How many milligrams of medication are in 75 mL of a 2% solution? Help

In a city the distance between the libary and the police station is 3 miles less than than the distance between the police stati

Mademuasel [1]

Answer:

8 miles

Step-by-step explanation:

Given

Represent the police station with P, Library with L; Fire station with F

The first statement can be represented as:

$L - P = P - F - 3$

The second can be represented as:

$L - P = 5$

Required

Determine the distance between the police station and the fire station (P - F)

$L - P = P - F - 3$ --- (1)

$L - P = 5$ --- (2)

Substitute 5 for L - P in (1)

$5 = P - F - 3$

Add 3 to both sides

$3 +5 = P - F - 3 + 3$

$3 +5 = P - F$

$8= P - F$

$P - F = 8$

5 0

3 years ago

A bag contains 6 red apples and 5 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple

tester [92]

Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.

We are to find the probability of selecting 1 red apple and 2 yellow apples.

Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.

Then, we have

$n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.$

Therefore, the probability of event A is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{60}{165}=\dfrac{4}{11}\times100\%=36.36\%.$

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

4 0

3 years ago

Can someone help me please?

Genrish500 [490]

Answer:

56

Step-by-step explanation:

The angle sum theorem *I think* is that for an n-sided shape, the total sum of its angles is 180(n-2).

The sum of a triangles' angles is 180 degrees.

Therefore 4v-44 = 180.

v - 11 = 45

v = 56 degrees

Note: always check if the answer makes sense

6 0

3 years ago

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Side legnths for x^2 -4x -12

Ugo [173]

I hope this helps you

x^2-4x-12

x -6

x +4

(x-6)(x+4)

3 0

4 years ago

100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POIN

Viefleur [7K]

Hello!

There are only six was to to role a number less than four. 1 and 1. 1 and 2. 2 and 1. 1 and 3. 2 and 2. 3 and 3 and 1.

The first number on the die could be 1, and the second die could have a probability of rolling the second number on it. Giving us a probability of 1/6.

We can subtract the calculated probability from rolling less than four from 1 to find the probability of rolling more than 5:

1 - 1/6 = 5/6

So, your answer should be D 5/6.

5 0

3 years ago

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