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3 years ago

What is the Lcm of 28 and 32

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

Answer:

The lcm of 28 is 4

The lcm for 32 is also 4

Step-by-step explanation:

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Hey certain recipe for key crossword 16 fluid ounces of water is Natalie needs to be 22 cakes for a bakery how many quarts of wa

seropon [69]

Natalie will need 11 quarts of water to bake 22 cakes for her bakery.

Step-by-step explanation:

Step 1:

Natalie needs 16 fluid ounces to make a cake.

If she wants to bake x number of cakes, she will need 16x ounces of water.

To determine the amount of water needed to bake 22 cakes, we multiply the amount of water needed to bake a single cake by 22.

Step 2:

The water needed to bake 22 cakes in ounces $= 22(16) = 352.$

So 352 ounces of water in needed and as 32 ounces is equal to 1 quart.

352 ounces equals 11 quarts of water. So 11 quarts of water are needed to bake 22 cakes.

4 0

3 years ago

The dingram shows a spinner innde up of a picce of card in the shape of a regular pentagon, with a toothpick pushed through its

Anastaziya [24]

Answer:

a) $P(X \leq 3) = 0.99328$

b) 0.6957

Step-by-step explanation:

Let X represent the number of 4's when n = 5 independent spins

each has a probability of 0.2 (i.e p = 0.2)

This notation is represented as:

X $\approx$ Binomial (n = 5, p = 0.2)

Probability of $x$ number of 4's is:

$P(X=x)= (\left \ n \atop x \right) p^x (1-p)^{(n-x)}$

here; $(\left \ n \atop x \right)$ is the combinatorial expression

$(\left \ n \atop x \right)$ = $\frac{n!}{x!(n-x)!}$

$P(X \leq3), n =5 , p = 0.2$

$P(X \leq3) = 1-P(X > 3)$

So; let's first find:

$P(X > 3)$

$= P(3$

$P(X = 4) =( \left \ {{5} \atop {4}} \right. ) (0.2)^4 (1-0.2)^1 \\ \\ P(X = 4) = 5(0.2)^4(0.8)^1 \\ \\ P(X = 4) = 0.0064$

$P(X = 5) =( \left \ {{5} \atop {5}} \right. ) (0.2)^5 (1-0.2)^0 \\ \\ P(X = 5) = 5(0.2)^5(0.8)^0 \\ \\ P(X = 5) = 0.00032$

$P (X=4)+P(X = 5 ) \\ \\ = 0.0064 + 0.00032 = 0.006720 \\ \\ \approx 0.007$

$P(X > 3 ) = 0.00672 \\ \\ P(X \leq 3) = 1- P(X > = 3 ) \\ \\ =1 - 0.00672 \\ \\ = 0.99328$

$P(X \leq 3) = 0.99328$

Given that:

The ratio of boys to girls at birth in Singapore is quite high at 1.09:1

What proportion of Singapore families with exactly 6 children will have at least 3 boys?

Probability of having a boy = $\frac{1.09}{1+1.09}$ = 0.5215

Binomial Problem with n = 6

P(3<= x <=6) = 1 - P(0<= x <=2)

= 1 - binomial (6,0.5215,2)

= 0.6957

5 0

3 years ago

Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic tit

GaryK [48]

Answer: x = 2921, y = 579

Step-by-Step Explanation:

I am assuming that we just have to Solve for ‘x’ and ‘y’.

‘x’ = No. Of Contemporary Titles
‘y’ = No. Of Classic Titles

=> x + y = 3500 (Eq. 1)
=> x - y = 2342 (Eq. 2)

Adding Eq. 1 and Eq. 2, we get :-

2x = 3500 + 2342
2x = 5842
x = 5842/2
=> x = 2921

Therefore, x = 2921

Substitute value of ‘x’ in Eq. 1 :-

x + y = 3500
(2921) + y = 3500
y = 3500 - 2921
=> y = 579

Therefore, y = 579

Hence,
No. Of Contemporary Titles = 2921
No. Of Classic Titles = 579

6 0

2 years ago

The Morris family bought 3 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 25 of the eggs. How man

zzz [600]

Answer:

Step-by-step explanation:

3 x 8 = 54 - 25 = 29

5 0

3 years ago

Solve the system of equations 2 + 2y = -20 and x + 3y = -27 by combining the<br> equations.

AlexFokin [52]

Answer:

no estoy segura como se debe responder

1 (x + 2y = -20) ----> x*2y= -20

-1 (x + 3y = -27) ----> x-3y= 27

(0) x + (-1) y = 7

7 0

3 years ago