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3 years ago

How much change would you receive from a $20.00 bill if you purchased 15 items that cost $1.23 each?

Mathematics

2 answers:

lana [24]3 years ago

5 0

Answer:

20.00-(15*1.23)=$1.55

Step-by-step explanation:

Airida [17]3 years ago

4 0

Answer:

$1.55

Step-by-step explanation:

find out how much the total cost is

15 x 1.23 = $18.45

now find the difference of $20 and the total cost

20 - 18.45 = $1.55

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Of all the trees planted by a landscaping firm, 45% survive. What is the probability that 13 or more of the 15 trees they just p

Brrunno [24]

<u>ANSWER: </u>

The probability for 13 or more of the 15 trees they just planted will survive is 0.00110702414

<u>SOLUTION: </u>

Given,

The total number of plants is, n=15

The chance of survival of trees is, p=45%.

Probability of getting success p(success) = $\frac{n o \text { of favourable outcomes }}{\text {total possible outcomes}}$

P(success) = $\frac{45}{100}$

P(success) = 0.45

Binomial distribution formula is given as

$\mathrm{P}(\mathrm{X}=\mathrm{x})=\mathrm{n}_{\mathrm{C} \mathrm{x}}(\mathrm{p})^{\mathrm{x}} \cdot(1-\mathrm{p})^{\mathrm{n}-\mathrm{x}}$

In our case, x is greater than or equal to 13, i.e. x $\geq$ 13

The probability for 13 or more of the 15 trees they just planted will survive is given by

$\mathrm{P}(\mathrm{X} \geq 13)=\mathrm{P}(\mathrm{X}=13)+\mathrm{P}(\mathrm{X}=14)+\mathrm{P}(\mathrm{X}=15)$

$\mathrm{P}(\mathrm{X} \geq 13)=\left(15 \mathrm{C}_{13} \times(0.45)^{13} \times(1-0.45)^{15-13}\right.$ + $\left(^{15} \mathrm{C}_{14} \times(0.45)^{14} \times(1-0.45)^{15-14}\right.$ + $\left(15 \mathrm{C}_{15} \times(0.45)^{15} \times(1-0.45)^{15-15}\right.$

on simplification we get

$=(15 \times 7) \times(0.45)^{13} \times(0.55)^{2}+15 \times(0.45)^{14} \times(0.55)^{1}+1 \times(0.45)^{15} \times 1$

$\begin{array}{c}{=(105 \times 0.00003102863 \times 0.3025)+(15 \times 0.00001396288 \times 0.55)+} \\ {0.00000628329}\end{array}$

=0.00098554703 + 0.0001151938 + 0.00000628329

= 0.00110702414

Hence, the probability for 13 or more of the 15 trees they just planted will survive is 0.00110702414

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3 years ago

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Mkey [24]

Answer:

Step-by-step explanation:

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Kevin is making a banner with area of 7 square ft width and length of banner is whole numbers what numbers are possible dimensio

stepladder [879]

Answer:

Length = 7, width = 1.

Step-by-step explanation:

7 and 1 are the only possible dimensions as 7 is a prime number.

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3 years ago

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Vera_Pavlovna [14]

Answer: 3 and 4

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For what value of x is the function g(x)=x/1-x NOT defined?

VMariaS [17]

The function is definately defined at x=0 but not x=1.

But its just one part of the coordinate (x,y).

If the value of y or f(x) is considered, you'll see that it is never possible to attain f(x)=0. In other terms (x,y)= (0,0) is not a defined point in the graph of the function because the graph doesnt pass through that point.

Now I hope you understood what I meant!

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3 years ago