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Triss [41]
4 years ago
5

A jar contains 6 chocolate chip cookies and 9 peanut butter cookies. Richard grabs 3 cookies at random to pack in his lunch. Wha

t is the probability that he drew 3 chocolate chip cookies?
A. 3/455
B. 4/91
C. 1/18
D. 1/2
Mathematics
1 answer:
viktelen [127]4 years ago
7 0
Sample space = {6 cookies and 9 peanuts} = 15

1st draw :P(1 cookie) = 6/15
2nd draw P(also 1 cookie) = 5/14
3rd draw P(also 1 cookie) = 4/13

total probability = 6/15 x 5/14 x 4/13 = 4/91
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Find the value of the angle θ rounded to 1 DP.
kogti [31]

Answer:

Step-by-step explanation:

Sin 21 = \frac{opposite side}{hypotenuse}

Sin 21 = \frac{BC}{15}

0.3583 = \frac{BC}{15}

0.3583*15 = BC

BC = 5.3745 = 5.37 m

Tan ∅ = \frac{opposite side}{adjacent side}

Tan ∅ = \frac{4}{5.37}= 0.7448

∅ = tan⁻¹ (0.7448) = 36.67 = 36.7

5 0
3 years ago
The diameter of a cylindrical construction pipe is 4ft If the pipe is 17ft long, what is its volume? Use the value 3.14 for /pi,
Leya [2.2K]

Answer:

213.52 cubic ft

Step-by-step explanation:

Diameter of pipe = 4ft

radius for circle is half of diameter

thus radius of pipe = 1/2 of 4ft = 2 ft

length of pipe = 17 feet

volume of cylinder is given by \pi r^2l

where r is the radius and l is the length of cylinder

.

thus volume of pipe is calculated below using above values

volume \ of \ pipe = \pi r^2l\\volume \ of \ pipe = \3.14* 2^2*17 \\volume \ of \ pipe =  213.52

volume of pipe is 213.52 cubic ft.

5 0
3 years ago
If vector u = <-3.5, -1.5> and vector v = <-1.25, 2.25>, which graph shows the resulting vector for 2v − u?
Sedaia [141]

Answer:

D

Step-by-step explanation:

We know that vector addition is scalar addition.

Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>

2v = < -2.5, 4.5>

2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >

2v-u = < 1 , 6 >

This vector is basically i + 6j which is drawn in option D

8 0
3 years ago
What is the answer??????????
Troyanec [42]
The answer is 91 ............
4 0
3 years ago
Read 2 more answers
A truck has a force of 2000 newtons and is moving 10 miles per hour. How much mass does the truck have?
worty [1.4K]

Answer:

Force= Mass×Accelaraion

F=m×a

But as The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²

Thus, we have 10mph = 4.47 meters per second square. (i converted using scientific calculator)

So now we have,

2000N= m×4.47m/s²

= 2000/4.47m/s²=m

= 447.42

Thus the mass of the object is 447.42 (i am not sure of units)

7 0
3 years ago
Read 2 more answers
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