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slega [8]
3 years ago
10

Beth’s father asked her to buy party favors for her little brother’s birthday party. Party hats cost $1.60 each, balloons cost $

.75 each, and noisemakers cost $.89 each. If each of the nine children receives one of each of the favors, find a reasonable estimate of the total cost of the party favors by rounding each amount to the nearest dollar.
Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0
$36
I think
$0.89 rounds up to $1.00
$0.75 rounds up to $1.00
$1.60 rounds up to $2.00
then multiply each by 9 for the 9 children
9
9
18
then add together
9+9+18=36
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The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.
Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}

The probability for exponential distribution is given as:

P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}

a) P( time between the next two calls will be 54 seconds or​ less)

P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

b) P(time between the next two calls will be greater than 118.5 ​seconds)

p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

6 0
3 years ago
5-7k=-4(k+1)-3 add work pleasee!!!
marshall27 [118]

Answer:

k=4

Step-by-step explanation:

5-7k=-4(k+1)-3

Distribute

5-7k=-4k-4-3

Combine like terms

5-7k=-4k-7

Add 7k to each side

5-7k +7k = -4k+7k-7

5 = 3k-7

Add 7 to each side

5+7 = 3k-7+7

12 = 3k

Divide by 3

12/3 = 3k/3

4=k

3 0
2 years ago
Read 2 more answers
The parabolic arch of a bridge over a one-way road can be described by the equation y = -x^2 + 6, where x and y ar emeasured in
Vladimir [108]
So check the picture below

if we check the solutions or zeros for the equation, we get \bf y=-x^2+6\implies 0=-x^2+6\implies x=\pm \sqrt{6}

and as you can see in the picture, the value of "x" when y = 3.5, or the height of the truck is  \bf y=-x^2+6\implies 3.5=-x^2+6\implies x=\pm \sqrt{2.5}

the truck, ends up with a clearance of \bf \sqrt{2.5}-1.5 on either side, so, the maximum clearance, the truck can have, those two clearances added together, \bf 2(\sqrt{2.5}-1.5)

5 0
3 years ago
F(x) = 3x - 5 and g(x) = x + 3, find (1-9)(x).
snow_lady [41]

f(x)= 3x - 5 is x = 5/3

g(x) = x +3 is x = -3

(1-9)(x) is -8x

3 0
3 years ago
Please can anyone help me answer this question I'm really struggling with it
Anika [276]

Answer:

v =  {210cm}^{3}

Step-by-step explanation:

Formula for finding the volume of a triangular prism is given as:

v =  \frac{1}{2}  \times b \times h \times l

where,

b = breadth = 7cm

h = height = 6cm

l = length = 10cm

Thus,

v =  \frac{1}{2}  \times 7cm \times 6cm \times 10cm

v =  \frac{1}{2}  \times 420 {cm}^{3}

v  =  \frac{ {420cm}^{3} }{2}

v =  {210cm}^{3}

7 0
3 years ago
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