Laurie's favourite football team has had a bad century! They have only won the grand final once in a hundred years. Laurie won't say what year it was. All he will say is that it's the same year when you're standing on your head as when you are standing upright. What year (in the 1900's) did his team win the grand final?

Answers

Answer 1

Answer:

Answer: 1961

Step-by-step explanation: If you flip 1961 upside-down, it looks the same.

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What is the period and frequency of a 10-pound weight oscillating (as a pendulum) on a 5-meter-long rope?

Answers

The mass of the pendulum does not affect the period and frequency
The period can be determined using the formula:
T = 2π √(L/g)

where L is the length of the rope
and g is the acceleration due to gravity = 9.8 m/s2

Plugging in the values:
T = 2π √(5/9.8)
T = 10π/7 = 4.49 s

And for the frequency:
f = 1/T
f = 1/4.49
f = 0.22 Hz

Answer:

Period = 4.5 seconds

Frequency = 0.22 hertz.

Step-by-step explanation:

Given : 10-pound weight oscillating (as a pendulum) on a 5-meter-long rope.

To find : What is the period and frequency.

Solution :

The formula to find time when length is given,

$T=2\pi\sqrt{(L)/(g)}$

where,T is the time period , L is the length and g is the acceleration due to gravity

L= 5 m and g=9.8 m/s

Substitute in the formula,

$T=2\pi\sqrt{(5)/(9.8)}$

$T=2\pi√(0.510)$

$T=2* 3.14* 0.714$

$T=4.483$

The time period is approx 4.5 seconds.

$\text{Frequency}=\frac{1}{\text{Period}}$

$\text{Frequency}=(1)/(4.5)$

$\text{Frequency}=0.22\text{hertz}$

Therefore,Period = 4.5 seconds

Frequency is 0.22 hertz.

Consider the quadratic equation y = –3x2 – 2x + 4. A. Find the value of the discriminant. B. How many real roots does the equation have? C. Does the vertex of the graph of the equation lie above, on, or below the x-axis?

Answers

A. discriminant = 52;
B. 2, because 52 > 0
C. - discrminant / 4a = -52 / -12 = 6 > 0 => the vertex of the graph of the equation lie above the x-axis.

f the probability of being hospitalized during a year is 0.25 , find the probability that no one in a family of five will be hospitalized in a year.

Answers

Answer:

The probability that no one in a family of five will be hospitalized in a year is 0,2373

Step-by-step explanation:

Let p denote the probability of being hospitalized during a year,

Then p=0.25

And p' the probability of not being hospitalized during a year is 1-p

Thus p' = 1-p = 1-0.25 = 0.75

The probability that no one in a family of five will be hospitalized in a year is equal to $p'^(5)$ . That is

$p'^(5)$ = $0.75^(5)$ ≈ 0,2373

Holly has 56 peices of paper and 8 paper clips. If she clips the same amount of paper together with each paper clip, how many peices will be clipped together with each paper clip?