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2 years ago

8

A flower shop manager uses 1,008 roses to make vases that hold a dozen roses each.How many vases does the flower shop manager ma

ke?

1 answer:

Mice21 [21]2 years ago

7 0

<span>He will need 84 (or 7 dozen) vases to hold 1,008 roses which would be 12 roses per vase.</span>

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Provide a recursive definition of the function f(n) = (n+1)!.

fiasKO [112]

Answer:

See definition below

Step-by-step explanation:

Since we have to give a recursive definition, we must give a initial value f(0). Additionally, the value of f(n) must depend on the value of f(n-1) for all n≥1.

The required value of f(0) is (0+1)!=1!=1.

Now, the factorial itself is a recursive function, because (n+1)!=(n+1)n!. In terms of f, this means that f(n)=(n+1)f(n-1) for all n≥1.

Then, our definition is: f:N→N is defined by

f(0)=1.
For n≥1, f(n)=(n+1)f(n-1).

8 0

3 years ago

Ms walkers science class is doing an egg drop experiment from the balcony of their school. Each egg is protected by a contraptio

mr_godi [17]

Answer:

The zeros, -1.48 and 1.48, represent the times where the egg is on the ground.

Step-by-step explanation:

The roots, or zeros, of an expression are the x-intercepts. They are the points where the data crosses the x-axis. The y-coordinate at these points is 0. This means the height of the egg at these points is 0.

The values of a, b and c in this equation are -16, 0 and 35. Using the quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\=\frac{-0\pm \sqrt{0^2-4(-16)(35)}}{2(-16)}\\\\=\frac{0\pm \sqrt{0--2240}}{-32}\\\\=\frac{0\pm \sqrt{2240}}{-32}\\\\=\frac{0\pm 47.33}{-32}\\\\=\frac{0+47.33}{-32}\text{ or }\frac{0-47.33}{-32}\\\\=\frac{47.33}{-32}\text{ or }\frac{-47.33}{32}\\\\=-1.48\text{ or }1.48$

7 0

3 years ago

Why must the vertex of an isosceles triangle be an even number

WINSTONCH [101]

Answer:

Step-by-step explanation:

The vertex of an isosceles triangle must be an even number because its identical base angles are congruent. Therefore if the angle at the vertex is x, then the vertex of an isosceles triangle must be an even number because its identical base angles are congruent. Therefore if the angle at the vertex is x, then the .

4 0

2 years ago

A package of 10 batteries is checked to determine if there are any dead batteries. Four batteries are checked. If one or more ar

frutty [35]

Answer:

There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.

Step-by-step explanation:

With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:

n=4 (the amount of batteries picked for the sample).
p=3/10=0.3 (the proportion of dead batteries).
k≥1 (the amount of dead batteries in the sample needed to not sell the package).

The probability of having k dead batteries in the sample is:

$P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}$

Then, the probability of having one or more dead batteries in the sample (k≥1) is:

$P(x\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{4}{0} p^{0}q^{4}=1*1*0.7^4=0.2401\\\\\\P(x\geq1)=1-0.2401=0.7599\approx0.76$

8 0

3 years ago

Pamela's boss rewards her hard work by telling her she is receiving a 12% raise. Pamela had been earning $15 per hour. After the

Maksim231197 [3]

It should be 16.8,
15 x (100% + 12%)

4 0

2 years ago

Read 2 more answers