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Nuetrik [128]
3 years ago
15

Suppose a team is to be formed consisting of a head chef, sous chef, and dishwasher, in that order. What is the probability of f

orming such a team with 6 people?
Mathematics
1 answer:
nika2105 [10]3 years ago
6 0

Answer:

0.0083

Step-by-step explanation:

From the given information;

The total number of individual in the team = 3

The number of ways the team, which comprises of head chef, sous chef, and dishwasher can be arranged = ^{6}P_3

= (6×5×4×3!)/3!

= 6×5×4

= 120 ways

The probability of forming such a team with 6 people = 1/120

= 0.0083

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Suppose Dante borrows $7000 at an interest rate of 9% compounded each year assume that no payments are made on the loan
Ulleksa [173]

Answer:

then daniel has to pay $7630 dollars

Step-by-step explanation:

4 0
2 years ago
A figure is composed of a rectangle and a right triangle. What is the area of the figure?
strojnjashka [21]

QUESTION 1

The figure is a tra-pezoid.

The area of a trapezoid is given by the formula;

A=\frac{1}{2}(Sum\:of\:parallel\:sides)\times h

We substitute the values to obtain;

Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm

Area=\frac{1}{2}(21.6cm)\times 6cm

Area=64.8cm^2

QUESTION 2

The approximate length of the ribbon is equal to the circumference of the circular table cloth.

We can find this by using the formula for calculating the circumference of a circle.

C=2\pi r

where r=3.5ft is the radius of the circular table cloth.

We substitute this value and \pi=3.14 into the formula to get;

C=2(3.14)(3.5)ft

C=21.98ft

The approximate length of the ribbon is 22.0ft to the nearest tenth.

QUESTION 3

Type of quadrilateral:Rectangle

Explanation: A rectangle has 4 angles that are right angles.

The two pairs of opposite sides of a rectangle are also congruent.

QUESTION 4.

The circumference of a semi circle is calculated using the formula;

C=\pi r

where r=12.5cm is the radius of the semicircle.

C=3.14\times 12.5cm

C=39.25cm

QUESTION 5

The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.

Area=\frac{1}{2}\pi r^2+\frac{1}{2}bh

Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24

Area=345.3125+300

Area=645.3125cm^2

Area\approx645cm^2

QUESTION 6

The area of the parallelogram is given by the formula;

A=bh

From the diagram, b=y\:in.,h=3in..

Given, A=23.7 inches squared.

We substitute the values to obtain;

23.7=3y

y=\frac{23.7}{3}

y=7.9in.

QUESTION 7

The area of a rectangle is given by the formula;

Area=l\times b

The area of the bigger rectangle =9\times15=135in^2

The area of the smaller rectangle =8\times 13=104in^2

The area of the  shaded region =135-104=31in^2

5 0
3 years ago
PLZ HALP
Svet_ta [14]

(0,0.5) and (10,10)

You always start at the beginning point and the end point and what ever points hit that line, great! That is why it is best fit and not connect the dots.

Hope I helped!

3 0
3 years ago
Mr. Seidel filled up his 14 gallon gas tank for 29.26. What was the price per gallon?
mr_godi [17]
It would be $2.09 if you are dividing
6 0
3 years ago
Read 2 more answers
Can 18 feet and 5 yards be expressed as a ratio in simplest form
Nuetrik [128]
1 yard is 3 feet.
18/3 = 6
Therefore, the actual ratio is 6 yards to 5 yards. Getting rid of like terms, we find that the simplest form ratio is 6:5
7 0
3 years ago
Read 2 more answers
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