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3 years ago

How many meatballs do frank need to make if there are 20 adults and 8 children the equation is m=4a+2c

Mathematics

1 answer:

MAVERICK [17]3 years ago

3 0

The equation is 4 meatballs for every adult and 3 for every child. Replace a and c and solve:

M = 4(20) + 2(8)

M = 80 + 16

M = 96

They need 96 meatballs.

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A random sample of of 100 voters in a town is selected, and 24 are found to support an annexation suit. Find the 96% confidence

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Answer: 0.24 +/- 0.088 = (0.152, 0.328)

Step-by-step explanation:

The point estimate p is given by;

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Z value for 96% confidence interval is 2.05

The solution for the given confidence interval is derived using the equation

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Where p = 0.24 q= 1-p = 0.76, n=100 z= 2.05

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The test scores for the exam in statistics class have a mean of 78 points and standard deviation of 9 points. A student is rando

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2 years ago

HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c

Anna71 [15]

Answer:

$n=241$

Step-by-step explanation:

We are given

$5x^2+nx+48$

Let's assume it can be factored as

$5x^2+nx+48=(5x-s)(x-r)$

now, we can multiply right side

and then we can compare it

$5x^2+nx+48=5x^2-5rx-sx+rs$

$5x^2+nx+48=5x^2-(5r+s)x+rs$

now, we can compare coefficients

$rs=48$

$5r+s=-n$

$n=-(5r+s)$

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

$48=-+(1\times 48)$

$48=-+(2\times 24)$

$48=-+(3\times 16)$

$48=-+(4\times 12)$

$48=-+(6\times 8)$

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

and because n is negative of 5r+s

so, we will both n and r as negative

So, we can assume

r=-48 and s=-1

so, we get

$n=-(5\times -48-1)$

$n=241$

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3 years ago