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3 years ago

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Mathematics

1 answer:

inn [45]3 years ago

3 0

Answer: 1) The value of the 3 in option A is 10x the value of the 3 in option B

2) Option A has the 3 in the ones places, Option B has the 3 in the tenths place

Step-by-step explanation:

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A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3

Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = $nPk=\frac{n!}{(n-k)!}$

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts = $5P4+4P2+8P3$

$=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468$

So, this can be done in 468 ways.

7 0

3 years ago

At the zoo the polar bears are fed 7/9 bucket of fish a day. The penguins are fed 4/7 that amount. What fraction are the penguin

OlgaM077 [116]

Answer: They are fed 4/9 of what the polar bears are fed.

Step-by-step explanation:

7/9*4/7=

1/9*4/1=4/9

The 7's get cancelled out.

4 0

3 years ago

Find the average value of the function on the given interval.<br> f(x)=ex/7; [0,7]

Anastaziya [24]

Answer:

$f_{avg}=e-1$

Step-by-step explanation:

We are given that a function

$f(x)=e^{\frac{x}{7}}$

We have to find the average value of function on the given interval [0,7]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{7-0}\int_{0}^{7}e^{\frac{x}{7}} dx$

$f_{avg}=\frac{1}{7}[e^{\frac{x}{7}}\times 7)]^{7}_{0}$

By using the formula

$\int e^{ax}=\frac{e^{ax}}{a}$

$f_{avg}=(e-e^0)=e-1$

Because $e^0=1$

$f_{avg}=e-1$

Hence, the average value of function on interval [0,7]

$f_{avg}=e-1$

8 0

3 years ago

Given that arc GF has a measure of 108°, what is the measure of ∠ E?

Ainat [17]

Angle E would also be 108°.

6 0

3 years ago

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In a town election azeem got 42 percentage of the votes cast and hamza got the remaining votes.If the total number of votes cast

Misha Larkins [42]

Answer:

23200

Step-by-step explanation:

42 percent of 40000 is 16800

40000-16800=23200

please give me brainliest!!!<3

8 0

3 years ago

Read 2 more answers