6 clients are throwing a party. Each cake serves 24 servings and has a party of 70 +3staff how many cakes are needed?

Mathematics

2 answers:

Airida [17]2 years ago

8 0

4 cakes are needed fjfnccnfn

tiny-mole [99]2 years ago

4 0

Answer:

3 cake were required to serve 73 staff members.

Step-by-step explanation:

Given : 6 clients are throwing a party. Each cake serves 24 servings and has a party of 70 +3 staff

To find : How many cakes are needed?

Solution :

Each cake serves 24 serving

i.e, 24 people served = 1 cake

1 people served = $\frac{1}{24}$ cake

party has 70+3 =73 staff members

73 people served = $\frac{73}{24}$ cake

73 people served = 3.04 cake

Approximately, 3 cake were required to serve 73 staff members.

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Find the value of $x$ that maximizes $$f(x) = \log (-20x + 12\sqrt{x}).$$ If there is no maximum value, write "NONE".

kakasveta [241]

The function is written as:
f(x) = log(-20x + 12√x)
To find the maximum value, differentiate the equation in terms of x, then equate it to zero. The solution is as follows.

The formula for differentiation would be:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
x = (6/20)² = 9/100

Thus,
f(x) = log(-20(9/100)+ 12√(9/100)) = 0.2553

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2 years ago

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Kazeer [188]

2 3/4 acres is the same as 11/4 acres
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slavikrds [6]

Answer:

a) 0.0392

b) 0.4688

c) At least $39,070 to be among the 5% most expensive.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 29858, \sigma = 5600$