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3 years ago

8

The math club is electing new officers. There are 3 candidates for president, 4 candidates for vice-president, 4 candidates for

secretary, and 2 candidates for treasurer. How many different combinations of officers are possible?

1 answer:

klemol [59]3 years ago

4 0

Answer:

96

Step-by-step explanation:

3x4=12

12x4=48

48x2=96

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A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem is 4.

EleoNora [17]

Answer:

927 cubic inches

Step-by-step explanation:

The area of the octagonal base is ...

A = (1/2)Pa

where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...

A = (1/2)(8·4)(4.83) = 77.28 . . . square inches

The volume of the prism is given by ...

V = Bh

where B represents the area of the base, and h is the height.

V = (77.28 in^2)(12 in) = 927.36 in^3

The volume of the prism is about 927 cubic inches.

4 0

3 years ago

dsp73

Answer:

All events are independent

Step-by-step explanation:

You are given the table

$\begin{array}{cccc}&\text{Chocolate}&\text{Vanilla}&\text{Total}\\\text{Adults}&0.21&0.39&0.60\\\text{Children}&0.14&0.26&0.40\\\text{Total}&0.35&0.65&1.00\end{array}$

Two events A and B are independent when

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$

a) A="Chocolate"

B="Adults"

A and B="Chocolate and Adults"

$Pr(A)=0.35\\ \\Pr(B)=0.60\\ \\Pr(A\cap B)=0.21$

Since $0.35\cdot 0.60=0.21$ events are independent

b) A="Children"

B="Chocolate"

A and B="Children and Chocolate"

$Pr(A)=0.40\\ \\Pr(B)=0.35\\ \\Pr(A\cap B)=0.14$

Since $0.40\cdot 0.35=0.14$ events are independent

c) A="Vanilla"

B="Children"

A and B="Vanilla and Children"

$Pr(A)=0.65\\ \\Pr(B)=0.40\\ \\Pr(A\cap B)=0.26$

Since $0.65\cdot 0.40=0.26$ events are independent

4 0

3 years ago

Helpp i have 12 minutes

s2008m [1.1K]

924.8 or 925

Mark brainliest please

Hope this helps you

8 0

3 years ago

Read 2 more answers

30 is 120% of what number? show ur work

Yanka [14]

Answer:

30 is 120% of 25

Step-by-step explanation:

30 = 120% of y

$\frac{120}{100}$ × y = 30

After multiplying both sides by 100 and dividing both sides by 120, we have

y = 30 × $\frac{100}{120}$

y = 25

3 0

3 years ago

George and carmen went on a bicycle trip. they took a bus to their starting piont, and then biked the rest. they traveled 275 ki

rodikova [14]

We need to do a system of equations here.

x + y = 275 (if you travel <em>x</em> km by bike and <em>y </em>km by bus, then you travel 275 km as given in the problem)
y = x + 55 (the problem stated that they were bussed (y) the amount they biked plus 55 more km (x + 55))

The second equation is already solved for y. So, we can plug it in to the first equation.

x + (x + 55) = 275
2x + 55 = 275 [combine x terms]
2x = 220 [subtract 55 from both sides]
x = 110 [divide by 2 to isolate x and solve for it]

Now we know that x is 110, the distance they traveled by bike.
And that's what we needed to answer the problem!

5 0

3 years ago