All categories

4 years ago

The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is

1 answer:

3 0

Denominators broken down are 3=3
4=2×2
32=2×2×2×2×2
9=3×3
Each factor needs no repeat from any other denominator so LCD=2×2×2×2×2×3×3=288

You might be interested in

Twelve ounces of Brand X costs $1.14. Sixteen ounces of Brand Y costs $1.28. Brand X costs how much more per ounce than Brand Y.

bearhunter [10]

"Per" means "divided by", so "cost per ounce" means "cost"/"ounces".

The difference in cost per ounce is
.. (1.14/12) -(1.28/16) = .095 -.08 = 0.015

Brand X costs 1.5¢ more per ounce than Brand Y.

4 0

3 years ago

What is 10 pluse 10 times 100

Mekhanik [1.2K]

Answer:

2000

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

You collect baseball cards and buy sealed packs from the grocery store and clearly have no idea which cards are inside (nor if t

ololo11 [35]

Answer:

(a) 0.9607

(d) 0.8184

(e) 0.074

(f) 0.0853/e^0.8;

750 cards

Step-by-step explanation:

Let the probability of success of a valuable card be p

p= 1/250 = 0.004,

q = 1-p = (249/250)

(a) There are 10 cards in one pack

The probability that there are no valuable card is given by:

Pr(X= 0) = 10C0 × (1/250)^0 ×(249/250)^10

10C0 = 10 combination 0= 10!/10!0!

Pr (X= 0) = (249/250)^10

Pr (X=0) = 0.9607

E(X) = np , n= 10, p= 1/250

E(X) = 10 × 1/250 = 1/25 = 0.04

(d) 5 packages means 5 × 10= 50 cards

Pr(X=0) = 50C0 × (1/250)^0 ×(249/250)^50

50C0 = 50!/50! ×0!=1

Pr (X=0) = (249/250)^50

Pr (X= 0) =(0.996)^50

Pr (X=0) = 0.8184

(e) For this case we use the Binomial Distribution

2 packages 2 × 10 = 20 cards

n = 20 , x = 1

We use:

P(X=1) = 20C1 × (1/250)^ 1 × (249/250)^19

Pr (X=1) = 20C1 × (1/250)^1 × (249/250)^19

Pr (X=1) = 20 × (1/250)¹ × (249/250)^19

Pr (X= 1 )= 0.074

(f) 20 packages = 200 cards

For this we apply Poisson distribution

P(X=3) = (e ^-h × h ^x) / x!

Where h = np = 200/250 = 0.8

P(X=3) = e^-0.8 × (0.8)^3 / 3!

P(X=3) = 0.991 × 0.512/6

P(X=3) = 0.0846

3 = n p

n = 3/p = 3 /0.04

n = 750 cards

8 0

4 years ago

Which choices are equivalent to the quotient below? Check all that apply.<br><br> √75/√15

Lubov Fominskaja [6]

The value of the fraction is $\rm \sqrt{5}$ , Option D is the correct answer.

The complete question is

Which choices are equivalent to the quotient below? Check all that apply √75/√15 A. 5 B. √25/√5 C. 15/3 D. √5 E. √3 F. √15/√3

<h3>What is a Fraction ?</h3>

When a number is represented by p/q , where q ≠ 0 is called a fraction.

The given fraction is

$\rm \dfrac{\sqrt{75}}{\sqrt {15}}\\\\\\\\dfrac{\sqrt{3*5 *5}}{\sqrt {3*5}}\\\\\\\sqrt{5}\\$

Therefore , the value of the fraction is $\rm \sqrt{5}$ , Option D is the correct answer.

To know more about Fraction

brainly.com/question/10354322

#SPJ1

6 0

2 years ago

Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 9 people eligible for this com

ASHA 777 [7]

Answer:

The number of ways Tony and Maria can both be selected for the committee is 8 ways.

Step-by-step explanation:

i) Tony and Maria have to be on the committee together or not at all.

ii) Let us consider Tony and Maria as combined as one person.

Therefore now we can say that the number of eligible people for the committee = 9 - 1 = 8.

iii) therefore the number of ways that both Tony and Maria can be selected for the committee are

= 8C1 = $\hspace{0.2cm}\binom{8}{1} = \frac{8!}{1! (8-1)!} = \frac{8!}{1!\times 7!} = \frac{8}{1} = \hspace{0.1cm}8 \hspace{0.1cm}ways$

6 0

3 years ago