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3 years ago

To make 4 large pizza pockets, Emily needs 24 cups of cheese. How much cheese does she need for 6 large pizza pockets

Mathematics

2 answers:

guapka [62]3 years ago

7 0

Answer:

she needs 36 cups of cheese for 6 large pizzas

Step-by-step explanation:

grin007 [14]3 years ago

5 0

Answer:

36 cups is needed foraking 6 large pizza pockets

6 cups for each pizza pocket..

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Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Goshia [24]

Answer:

$\sf 2^{(n+1)}$

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

$\sf \boxed{\bf t_n=ar^{(n-1)}}$

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

a = 4

r = 8 ÷4 = 2

$\sf t_n =4*2^{(n-1)}$

$\sf = 4*2^n * 2^{(-1)}\\\\ = 4*2^n*\dfrac{1}{2}\\\\ = 2*2^n$

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3 years ago

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3 years ago

Assume the number of typo errors on a single page of a book follows Poisson distribution with parameter 1=3. Calculate the proba

asambeis [7]

Answer:

(i). 0.03981

(ii).0.0048

Step-by-step explanation:

The probability density function of Poisson distribution is:

$P(X=x,\lambda)=\frac{e^{-\lambda}\lambda^x}{x!} \; \;\;\,\; x=0,1,2,...$

Consider <em>X</em> is a number of typos error on a single page of a book and <em>X</em> follows the Poisson distribution with $\lambda = \dfrac{1}{3}$

(i) Exactly two typos:

$\begin{aligned}P(X = 2,\frac{1}{3})&=\frac{e^{-\frac{1}{3}}\frac{1}{3}^{2}}{2!}\\&=\frac{e^{-\frac{1}{3}}}{18}\\&=0.03981\end{aligned}$

(ii) Two or more typos:

$\begin{aligned}P(X\geq2,\frac{1}{3})&=1-[P(X=0)+P(X=1)+P(X+2)]\\&=1-[0.7165+0.2388+0.03981]\\&=1-0.9952\\&=0.0048\end{aligned}$

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4 years ago