All categories

3 years ago

A certain medication comes in the form of a capsule, as

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Answer:

V= 103.9 mm^3 and 72.7 mg

Step-by-step explanation:

Reasons

You might be interested in

The probability that a certain football team wins a match is 2/3.Given that the team plays 4 matches, find the probability that

Vlad [161]

Answer:

The probability is 32/81

Step-by-step explanation:

We know that:

The probability that the team wins is p = 2/3

Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3

The team plays 4 matches.

We want to find the probability that the team wins 1 more than half of the number of matches played.

So if there are 4 matches, the half is 2 matches

one more than half is then 3 matches.

Let's assume that the team wins the first 3 matches, and does not win the last match.

match one, the team wins with prob: P₁ = 2/3

match two, the team wins with prob: P₂ = 2/3

match three, the team wins with prob: P₃ = 2/3

match four, the team wins with prob: P₄ = 1/3

The joint probability is the product of all the individual probabilities:

P = (2/3)*(2/3)*(2/3)*(1/3)

Now we must also considerate the permutations, we have the cases:

the team does not win the fourth match

the team does not win the third match

the team does not win the second match

the team does not win the first match

So we have just four permutations, then the total probability is:

probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)

8 0

3 years ago

Can somebody step by step explain how to solve this problem??<br><br> (3x^2y)(-7xy^3)

charle [14.2K]

Answer:

$\boxed{\bold{-21x^3y^4}}$

Explanation:

[ Step One ] Remove Parenthesis: (a) = a

$\bold{-3x^2y\cdot \:7xy^3}$

[ Step Two ] Multiply: $\bold{3\cdot \:7=21}$

$\bold{-21x^2xy^3y}$

[ Step Three ] Apply Exponent Rule $\bold{\:a^b\cdot \:a^c=a^{b+c}: \ x^2x=\:x^{2+1}=\:x^3}$

$\bold{-21x^3y^3y}$

[ Step Four ] Apply Exponent Rule: $\bold{y^3y=\:y^{1+3}=\:y^4}$

$\bold{-21x^3y^4}$

[ $\boxed{\bold{Final \ Answer}}$ ]

➤ $\bold{-21x^3y^4}$

$\boxed{\bold{Mordancy}}$

5 0

3 years ago

Read 2 more answers

Heather had $89.50 in a bank account. She withdrew $10.25. What was her new balance?

dem82 [27]

Answer:

79.25

Step-by-step explanation:

7 0

3 years ago

Can someone please answer this please!

DaniilM [7]

Answer:

T = ±22

Step-by-step explanation:

Let's solve your equation step-by-step.

0=−16t2+7744

Step 1: Add 16t^2 to both sides.

0+16t2=−16t2+7744+16t2

16t2=7744

Step 2: Divide both sides by 16.

16t2

7744

t2=484

Step 3: Take square root.

t=±√484

t=22 or t=−22

6 0

3 years ago

Given: ABCD is a parellelogram.<br><br> Prove: AB=CD and BC=DA

ozzi

Answer:

Step-by-step explanation:

We have given a parallelogram ABCD.

For a parallelogram,

Opposite pair of sides are parallel to each other.

i.e AD is parallel to BC and AB is parallel to CD.

From the attached figure,

∡1 = ∡4 and ∡2 = ∡3 {If two parallel lines cut by a transversal line then alternate interior angles are congruent }

Next, AC ≅ AC {Reflexive identity}

hence, ΔABC ≅ ΔCDA , By Angle-Side-Angle(ASA) congruent property of triangle.

Therefore, AB = CD and AD = BC {Proved}

6 0

3 years ago

Read 2 more answers