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4 years ago

What is the radius of a sphere that has a surface area of 196π sq ft?

Mathematics

1 answer:

grandymaker [24]4 years ago

3 0

4πr^2=196π r^2=49 r=7

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The orice of a computer was decreasd by 10% to £504. What was the price before the decrease

liberstina [14]

Answer:

554

Step-by-step explanation:

add 504 plus 10% and you get 554.

3 0

3 years ago

Quadrilaterals Quiz

zavuch27 [327]

Answer:

Parallelogram

Step-by-step explanation:

All of the choices are parallelograms.

Hope I helped!

6 0

3 years ago

-6(p+8)=36<br><br> Algebra two step equation

Tatiana [17]

Answer:

The value of p = -14

Step-by-step explanation:

Given the equation

$-6\left(p+8\right)=36$

Divide both sides by -6

$\frac{-6\left(p+8\right)}{-6}=\frac{36}{-6}$

simplify

$p+8=-6$

Subtract 8 from both sides

$p+8-8=-6-8$

simplify

$p=-14$

Therefore,

The value of p = -14

8 0

2 years ago

Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of

Sav [38]

Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 20, p = 0.05.

The probability that 3 or fewer experienced insomnia as a side effect is given by:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

Hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585$

$P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774$

$P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887$

$P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596$

Then:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842$

0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.

Since this probability is greater than 95%, this is a highly likely event.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

3 0

2 years ago

Find the LCm for the pair of natural numbers <br> 112,96

n200080 [17]

Answer:

672.

Step-by-step explanation:

First find the prime factors:

112 = 2*2*2*2*7

96 = 2*2*2*2*2*3

There are 4 pairs of duplicate 2 's in the factors, so the LCM = 2*2*2*2*2*3*7

= 672 (answer).

Note: the duplicates only appear once in the calculation of the LCM.

5 0

3 years ago