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Liula [17]
3 years ago
15

After a shipwreck, Sam is stranded on a desert island. He needs to build a shelter, so he

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

There kind of needs to be more information. We don't have any other information other than the backstory. You're gonna need to elaborate.

Step-by-step explanation:

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Of the 15 year olds at karate school 8 have black belts in 20 had Brown belts among 16 year olds 10 have black belts in 17 have
RSB [31]

Answer:

16 year olds had the higher ratio of black belts to brown belts.

Step-by-step explanation:

15 year olds: 8/28 students had black belts

8/28 = 28.6% had black belts

16 year olds: 10/27 students had bald belts

10/27 = 37.0% had black belts

5 0
3 years ago
In the figure below, AC and BD are diameters of circle P.
Anni [7]

Answer:

147 °

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?
Fofino [41]

<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

<u><em>Explanation:</em></u>

The 30°-60°-90° is a special type of right-angled triangles

<u>It has the following special side length:</u>

The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

The length of the side opposite to the 60° is \frac{\sqrt{3} }{2} of the hypotenuse

<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

<u>This means that</u> the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

5 0
3 years ago
Sample spaces For each of the following, list the sample space and tell whether you think the events are equally likely:
Schach [20]

Answer and explanation:

To find : List the sample space and tell whether you think the events are equally likely ?

Solution :

a) Toss 2 coins; record the order of heads and tails.

Let H is getting head and t is getting tail.

When two coins are tossed the sample space is {HH,HT,TH,TT}.

Total number of outcome = 4

As the outcome HT is different from TH. Each outcome is unique.

Events are equally likely since their probabilities \frac{1}{4} are same.

b) A family has 3 children; record the number of boys.

Let B denote boy and G denote girl.

If there are 3 children then the sample space is

{GGG,GGB,GBG,BGG,BBG,GBB,BGB,BBB}

The possible number of boys are 0,1,2 and 3.

Number of boys      Favorable outcome    Probability

           0                      GGG                        \frac{1}{8}

           1                    GGB,GBG,BGG          \frac{3}{8}

           2                   GBB,BGB,BBG           \frac{3}{8}

           3                       BBB                         \frac{1}{8}

Since the probabilities are not equal the events are not equally likely.

c)  Flip a coin until you get a head or 3 consecutive tails; record each flip.

Getting a head in a trial is dependent on the previous toss.

Similarly getting 3 consecutive tails also dependent on previous toss.

Hence, the probabilities cannot be equal and events cannot be equally likely.

d) Roll two dice; record the larger number

The sample space of rolling two dice is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now we form a table that the number of time each number occurs as maximum number then we find probability,

Highest number        Number of times         Probability

           1                                   1                     \frac{1}{36}

           2                                  3                    \frac{3}{36}

           3                                  5                    \frac{5}{36}

           4                                  7                    \frac{7}{36}

           5                                  9                    \frac{9}{36}

           6                                  11                    \frac{11}{36}

Since the probabilities are not the same the events are not equally likely.

4 0
3 years ago
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36X?
Fiesta28 [93]
Assuming I understand your question correctly, in that you’re looking for just some descriptions of the differences between the functions. If so, then I’d say:

First graph both functions, the f(x) and the g(x). Then spot the differences.
Note that the g(x) function has shifted towards the right compared with the f(x) function.
Another way that the g(x) differs from the f(x) function is that it’s stretched. The vertex is in the IV quadrant for g(x) rather than at the origin for f(x).

I hope that helps.

5 0
3 years ago
Read 2 more answers
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