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Softa [21]
3 years ago
12

Jessica is eating a bag of sour skittles . Her friend ask her to share, and Jessica throws over an extra bag. Her friend does no

t catch the bag, and it hits the ground. The distance from the ground (height) for the bag of candies is modeled by the function h(t)= -16t²+32t+4 where h(t) is the height (distance from the ground in feet ) of the candies and t is the number of seconds the candies are in the air. Describe in a paragraph what the graph of this scenario would look like.
Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

A parabola opens downward with vertex at (1,20)

Step-by-step explanation:

The function that models the height of bag of candies is

h(t) =  - 16 {t}^{2}  + 32t + 4

The graph of this function is a parabola that opens downward.

To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.

Factor -16 to get;

h(t) =  - 16( {t}^{2}  - 2t) + 4

Add and subtract the square of half the coefficient of t.

h(t) =  - 16( {t}^{2}  - 2t + 1)  + 16+ 4

Factor the perfect square trinomial:

h(t) =  - 16( {t - 1)}^{2}  + 20

The vertex is (1,20)

This means the maximum height after 1 second is 20 feet.

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Commutative because your switching the order
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3 years ago
Suppose an electronics manufacturer knows from previous data that 2% of
harkovskaia [24]

Answer:

B.) This is not a binomial experiment, because the number of trials is not fixed.

Step-by-step explanation:

For a certain experiment to be classed as a binomial, it has to meet some criteria ;

Which include ;

1.) The trials should be independent.

11.) Each trial should be classifiable into one of success of failure.

111). There is a fixed mean probability for success and failure

IV) There is a fixed number of trials, in experiment described above, the number of trials isn't fixed, it is variable, as the trial will continue until a defective item is obtained.

3 0
3 years ago
ANYONE GOOD AT MATH NEED HELP
lesantik [10]

Answer:

*I just learned that in probability if a question has 'and' it means you multiply and if it has 'or' it means you add*

1a) 1/6

There are two numbers greater than four (5 and 6). There are 6 possible numbers you can get, so the fraction would be 2/6, or simplified would be <u>1/3</u>. There are two options you can get when flipping a coin, so the chance of getting a head is <u>1/2</u>. This is an 'and' problem so multiply 1/3•1/2 and you get 1/6.

1b) 1/4

There are 3 even numbers (2, 4, and 6), so the probability would be 3/6 or simplified to <u>1/2</u>. The chance of landing on a tail is also <u>1/2</u>, as there are two possible options. This is an 'and' problem so multiply 1/2•1/2 and you get 1/4.

2) 1/8

Write out your possible results: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.

3a) 1/8

There are 4 shirt options to choose from. The chance of picking blue is <u>1/4</u>. There are 2 pant options. The chance of picking black is <u>1/2</u>. This is an 'and' problem, so multiply 1/4•1/2 and you get 1/8.

3b) 1/4

There are 4 shirt options to choose from. This is an 'or' problem because he can choose an orange shirt OR a red shirt. The probability of picking an orange shirt is 1/4 and the probability of picking a red shirt is 1/4. 'Or' means you use addition so add 1/4+1/4 and you get 2/4 or simplified is <u>1/2</u>. There are 2 pant options to choose from, so the probability of choosing brown pants is 1/2. Now, this is an 'and' problem, so multiply 1/2•1/2 and you get 1/4.

6 0
2 years ago
Help me to do 10(b) answer​
antiseptic1488 [7]

Answer:

Step-by-step explanation:

Big circle:

R = radius = diameter ÷2 = 42 ÷ 2 = 21 cm

Area of big circle= πR²

                            =\dfrac{22}{7}*21*21=22*3*21\\\\\\= 1386 \ cm^{2}

Small circle:

Diameter of small circle  = radius of big circle = 21 cm

r = 21/2 = 10.5 cm

Area of small circle = πr²

                                =\dfrac{22}{7}*10.5*10.5 = 22 * 1.5*10.5\\\\\\= 346 .5 \ cm^{2}

Area of shaded region = area of big circle - area of small circle

= 1386 - 346.5

= 1039.5 cm²

                                 

3 0
2 years ago
LOL….HEY
QveST [7]

Answer:not a man but I think you should just relax and be yourself, high school isn’t scary at all. When you go in for orientation walk around the school and find your classes so you have a good map of where you need to go in your head already! Best of luck

Step-by-step explanation:

7 0
3 years ago
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