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2 years ago

11

A small jar of salsa contains 12 1/2 ounces. A large jar of salsa contains 75 ounces How many small jars of salsa equal the same

number of ounces as 1 large jar of salsa

1 answer:

poizon [28]2 years ago

7 0

Answer:

6

Step-by-step explanation:

to find this divide big/small

75/12.5 = 6

so 6 small containers = 1 large one

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Which digit(s) makes 3,71_divisable by 3.

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1, 4, and 7 will be the digits that make 3,71_ divisible by 3.

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List the next four multiples of 3/5

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In a group of 10 kittens, 5 are female. Two kittens are chosen at random. a) Create a probability model for the number of male

olya-2409 [2.1K]

Answer:

(b) Expected number of male kitten E(x) = 1

(c) Standard deviation is ± $\frac{2}{3}$ .

Step-by-step explanation:

Given that,

Number of kittens in a group are 10. Out of these 5 are female.

To find:- (a) create a probability model of male kitten chosen.

So, total number of kitten = 10

number of female kitten = 5

then, Number of male kitten = $10-5= 5$

Now total number of ways to choosing two kittens from group of 10 = $^{10} C_{2}$

= $\frac{10!}{2!\times8!}$

= $45$

for choosing (i) No male P(x=0) = P(Two female) = $\frac{^{5} C_{2}}{45}$

= $\frac{2}{9}$

(ii) 1 male P(x=1) = P(1 male and 1 female) = $\frac{^{5} C_{1}\times^{5} C_{1}}{45}$ = $\frac{25}{45}$ = $\frac{5}{9}$

(iii) 2 male P(x=2)= P(2 male) = $\frac{^{5} C_{2}}{45}$ = $\frac{2}{9}$

$x_{i}$ 0 1 2

P(X= $x_{i}$ ) $\frac{2}{9}$ $\frac{5}{9}$ $\frac{2}{9}$

(b) what is expected number of male kittens chosen ?

Expected number of male kitten E(x) = $o\times \frac{2}{9} + 1\times \frac{5}{9} + 2\times\frac{2}{9}$

= $1$

(c) what is standard deviation ?

$\sigma(x) = \sqrt{ (E(x^{2} )-(Ex)^{2})$

No,

$Ex^{2} =o\times \frac{2}{9} + 1\times \frac{5}{9} + 4\times\frac{2}{9}$

= $\frac{13}{9}$

$\sigma(x)=\sqrt{\frac{13}{9} - 1 }$ $=\sqrt{\frac{4}{9} }$

= ± $\frac{2}{3}$

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2 years ago

Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.

pychu [463]

Answer:y = mx + b

(–6) = (4)(–1) + b

–6 = –4 + b

–2 = b

Step-by-step explanation:

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2 years ago

Use the distributive property and then combine like terms to simplify this expression: 9x + 5(x + 4)

Ilia_Sergeevich [38]

Answer:

14x+20

Step-by-step explanation:

9x + 5(x + 4)

Apply the Distributive Property:

$9x+5(x+4)=9x+5x+20$

$9x+5x+20$

Combine Like Terms:

The like terms are 9x and 5x.

$9+5=14$

$9x+5x+20=14x+20$

The simplified equation is: $14x+20$

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2 years ago