1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ulleksa [173]
2 years ago
9

A bird drops a stick to the ground from a height of 90 ft. The function h=16ft^2+90 gives the sticks approximate height h above

the ground, in feet, after t seconds. At about what time does the stick hit the ground? How many seconds does it hit the ground?
Mathematics
1 answer:
lara31 [8.8K]2 years ago
6 0

Answer:

The stick hits the ground 2.37 seconds after it is dropped.

Step-by-step explanation:

Your function is incorrect.

I will assume that the correct function is

h = -16t² + 90

When the stick hits the ground, its height is 0.

We are looking for the value of t, time, when h = 0.

Set h = 0, and solve for t.

h = -16t² + 90

-16t² + 90 = 0

-16t² = -90

t² = 5.625

t = 2.37

The stick hits the ground 2.37 seconds after it is dropped.

You might be interested in
PLEASE HELP! DUE AT 11:59 PST
Nesterboy [21]

Answer:

Y = 15x + 30 and 8 hours

Step-by-step explanation:

She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.

She gets a solid $30 every week that is straight forward

To solve the function

150 = 15x + 30

subtract 30 from both sides

120 = 15x

divide 15 from both sides

8 = x

or

x = 8

You got this :)

3 0
3 years ago
Multiple Choice
inessss [21]
Answer:
B
Step-by-step explication:
(1/4)/(3/8)=(2/3)
5 0
3 years ago
A = 1-2 35 b = -16 04 find 2a -
devlian [24]
Replace the values of a and b in the formula
2a - b:
(2 * 1.235) - (-16.04) = 2.47 + 16.04 = 18.51
4 0
3 years ago
I need help from number 3 plzzzz ASAP
USPshnik [31]

Answer:2.18 m

Step-by-step explanation:

When you draw it it forms a right angled triangle. In order to get the height we must use sine.

The sine of 27° is the height divided by 4.8 m

5 0
3 years ago
Read 2 more answers
A highway traffic condition during a blizzard is hazardous. Suppose one traffic accident is expected to occur in each 60 miles o
o-na [289]

Answer:

a) 0.3408 = 34.08% probability that at least one accident will occur on a blizzard day on a 25 mile long stretch of highway.

b) 0.0879 = 8.79% probability that two out of these six blizzard days have no accident on a 25 mile long stretch of highway.

c) 0.4493 = 44.93% probability of no damaging accidents requiring a insurance claims on an 80 mile stretch of highway.

Step-by-step explanation:

We have the mean for a distance, which means that the Poisson distribution is used to solve this question. For item b, the binomial distribution is used, as for each blizzard day, the probability of an accident will be the same.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Suppose one traffic accident is expected to occur in each 60 miles of highway blizzard day.

This means that \mu = \frac{n}{60}, in which 60 is the number of miles.

(a) What is the probability that at least one accident will occur on a blizzard day on a 25 mile long stretch of highway?

n = 25, and thus, \mu = \frac{25}{60} = 0.4167

This probability is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.4167}*(0.4167)^{0}}{(0)!} = 0.6592

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.6592 = 0.3408

0.3408 = 34.08% probability that at least one accident will occur on a blizzard day on a 25 mile long stretch of highway.

(b) Suppose there are six blizzard days this winter. What is the probability that two out of these six blizzard days have no accident on a 25 mile long stretch of highway?

Binomial distribution.

6 blizzard days means that n = 6

Each of these days, 0.6592 probability of no accident on this stretch, which means that p = 0.6592.

This probability is P(X = 2). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{6,2}.(0.6592)^{2}.(0.3408)^{4} = 0.0879

0.0879 = 8.79% probability that two out of these six blizzard days have no accident on a 25 mile long stretch of highway.

(c) If the probability of damage requiring an insurance claim per accident is 60%, what is the probability of no damaging accidents requiring a insurance claims on an 80 mile stretch of highway?

Probability of damage requiring insurance claim per accident is of 60%, which means that the mean is now:

\mu = 0.6\frac{n}{60} = 0.01n

80 miles:

This means that n = 80. So

\mu = 0.01(80) = 0.8

The probability of no damaging accidents is P(X = 0). So

P(X = 0) = \frac{e^{-0.8}*(0.8)^{0}}{(0)!} = 0.4493

0.4493 = 44.93% probability of no damaging accidents requiring a insurance claims on an 80 mile stretch of highway.

6 0
3 years ago
Other questions:
  • Rewrite 3 1 over 5<br> as a mixed number?
    6·2 answers
  • Marisol bought 20 peices of ribbion for $18. what would be the cost of 30 peices of ribbon
    10·1 answer
  • ****-2x^2(-5x^2+4x^3) in standard form?
    8·2 answers
  • If your bill was $67.82 and there is a 7.5% late fee how much is your bill
    10·1 answer
  • there are 870 students at school in 20 of them are boys if each classroom holds 30 students how many classrooms are needed at th
    14·1 answer
  • 0.4 divided by 0.515 and then round the answer by the nearest 10th
    13·2 answers
  • Consider the function represented by the equation y=2x +5. Determine the amount by which the value of y increases every time the
    9·1 answer
  • Write the equation in slope-intercept form. y-2=6(x+1)
    12·1 answer
  • Grace's work is x miles from her house. She drives to work every day of a 5-day workweek. Grace also goes to the gym every day a
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=48x2y%E2%88%9212xy2%E2%88%9260x2y2" id="TexFormula1" title="48x2y&minus;12xy2&minus;60x2y2" al
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!