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3 years ago

9

Avery bought 6.5 pounds of produce. If the produce was priced at $1.88 per pound, how much change did Avery receive if she paid

for her purchase with a $20.00 bill?

1 answer:

BARSIC [14]3 years ago

6 0

Answer:

7.78

Step-by-step explanation:

6.5 x 1.88 = 12.22

20.00 - 12.22 = 7.78

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A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide i

Vilka [71]

Answer:

The probability that exactly 10 insects will die

P( X = 10 ) = 0.06385

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given a certain insecticide kills 60% of all insects in laboratory experiments

Given proportion p = 0.60

q = 1 - 0.60 = 0.40

Given sample size 'n' = 12

<u><em>Step(ii):</em></u>-

Let "X' be the random variable of binomial distribution

$P(X=r) = n_{C_{r} } p^{r} q^{n-r}$

The probability that exactly 10 insects will die

$P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}$

$n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66$

$P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385$

<u><em>Final answer:</em></u>-

The probability that exactly 10 insects will die

P( X = 10 ) = 0.06385

4 0

3 years ago

F(x) = x2 + 1 g(x) = 5 – x (f + g)(x) =

noname [10]

(f + g)(x) = x^2 + 1 + <span>5 – x = x^2 - x + 6

hope that helps</span>

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3 years ago

bob is twice as old as chuck, and susie is 10 years younger then bob if sum of their ages is 100 years how old is susie

Lina20 [59]

Answer:

The age of Susie is 34 years .

Step-by-step explanation:

Given as :

The statement is ,

Bob is twice as old as Chuck,

Susie is 10 years younger then Bob

The sum of age of Bob , Chuck , Susie = 100 years

Let The age of Bob = B years

Let The age of Chuck = C years

Let The age of Susie = S years

<u>Now, According to statement</u>

Age of Bob + Age of Chuck + Age of Susie = 100 years

i.e B + C + S = 100 years ........1

<u>Again</u>

Age of Bob = 2 × age of Chuck

i.e B = 2 C .......2

<u>Again</u>

Age of Susie = Age of Bob - 10 years

i.e S = B - 10

∵ B = 2 C

So, S = 2 C - 10 ........3

<u>Solving equations 1 , 2 , 3</u>

Put the vale of eq 2 and eq 3 into eq 1

So, 2 C + C + (2 C - 10) = 100

Or, (2 C + C + 2 C ) - 10 = 100

Or, 5 C = 100 + 10

Or, 5 C = 110

∴ C = $\dfrac{110}{5}$

i.e C = 22 years

So, The age of Chuck = C = 22 years

The age of Bob = 2 C = 2 × 22 = 44 years

The age of Susie = S = 2 C - 10

I.e The age of Susie = S = 2 × 22 - 10

Or, The age of Susie = S = 34 years

Hence, The age of Susie is 34 years . Answer

4 0

2 years ago