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drek231 [11]
3 years ago
13

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer:

20,475\ ways

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

C(n,r)=\frac{n!}{r!(n-r)!}

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

n=28\\r=4

substitute

C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}

simplify

C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}

C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}

C(28,4)=20,475\ ways

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stich3 [128]

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( f - g ) (x) f (x) = 2x^2 - 2  

g (x) = 4x + 1

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What is (-2)(-5)+7 fdsgefgvsefbvgseftbsetbwaesb
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Step-by-step explanation:

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3 years ago
b. Find a 99% confidence interval for mean age of ICU patients using the facts that, in the sample, the mean is 57.55 years and
rjkz [21]

Answer:

<em>99% of confidence intervals for mean age of ICU patients</em>

<em>(53.8920 , 61.2079)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given sample mean </em>x^{-} = 57.55<em></em>

Given standard error is determined by

                                                             S.E =\frac{S.D}{\sqrt{n} }

<em>Given data standard error = 1.42</em>

<em>99% of confidence intervals for mean is determined by</em>

(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} } )

Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.05} = 2.576

(x^{-} - 2.576 S.E , x^{-} + 2.576 S.E)

(57.55 - 2.576X 1.42 , 57.55+ 2.576 X1.42)

(53.8920 , 61.2079)

<u><em>Conclusion</em></u>:-

<em>99% of confidence intervals for mean is determined by</em>

<em>(53.8920 , 61.2079)</em>

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3 years ago
Find y. (leave answer in simplest radical form) *
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12

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We already found x in a previous problem.

x = 6

The right triangle on the right side with sides x and y is also a 30-60-90 triangle.

The hypotenuse is twice the short leg.

x = 6

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3 years ago
Claire is a manager at a toy packaging company. The company packs 80 boxes of toys every hour for the first 3 hours of the day.
Stells [14]

Answer:

See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]

At the end of the 3 hours The company packs = 80 * 3 = 240

They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]

Then, for the next 4 hours, they pack 20 boxes of toys every hour

y₃ = 20x + c , x ∈ [5,9]

To find c, y₂ = y₃ at x =5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 =240 - 100 = 140

∴ y₃ = 20x + 140 , x ∈ [5,9]

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y₁ = 80 x , x ∈ [0,3]

y₂ = 240 , x ∈ [3,5]

y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

8 0
3 years ago
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