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2 years ago

1. Between finishing their dinner and going to bed, Zac and Lucy had 4 hours.

Mathematics

1 answer:

Leviafan [203]2 years ago

3 0

Answer:

Ok, I can see only a) to c)

a) Lucy spent the most time reading.

b) 20 minutes.

c) 22 minutes.

Step-by-step explanation:

Reason for b):

First convert hours to minutes.

1 hour = 60 minutes

4 hours = ?

4 × 60 = 240 minutes.

Homework is 30°

Total in the pie chart is 360° so:

30/360 × 240 mins = 20 mins

Answer is Zac spent 20 minutes to do his homework.

Reason for c):

Watching TV:

Zac: 135°

Lucy: 102°

Zac:

135/360 × 240 minutes = 90 minutes

Lucy:

102/360 × 240 minutes = 68 minutes

To find how many minutes Zac spent watching TV than Lucy:

90 minutes - 68 minutes = 22 minutes.

Do you understand, Kiara 12004?

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What is the error due to using linear interpolation to estimate the value of sinxsin⁡x at x = \pi/3? your answer should have at

Serhud [2]

<h3>Answer:</h3>

using y = x, the error is about 0.1812
using y = (x -π/4 +1)/√2, the error is about 0.02620

<h3>Step-by-step explanation:</h3>

The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.

If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...

... x -sin(x) @ x=π/3

... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812

You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.

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If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...

... (x+1-π/4)/√2 -sin(x) @ x=π/3

... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620

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2 years ago

Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second. The distance dd (i

deff fn [24]

The answer to this question would be: 5 second

In this question, you are given the initial distance (300ft), car velocity(48ft/s) and the final distance(60ft). You are also given the equation to calculating the distance, so this question should be easier. The question is when the time where the distance is 60 ft. So the answer would be:

distance= 300-48t
60 = 300ft- 48t
48t= 300- 60=240
t= 5

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2 years ago

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Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinat

Fiesta28 [93]

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

$T(4,5)$

Step-by-step explanation:

Given

$x = \frac{1}{2}(6 - 2) + 2$

$y = \frac{1}{2}(4 - 6) + 6$

Required

Determine the coordinates of T

The coordinates of T can be represented as $T(x,y)$

To do this, we simply solve for x and y

$x = \frac{1}{2}(6 - 2) + 2$

Solve 6 - 2

$x = \frac{1}{2}*4 + 2$

Solve 1/2 * 4

$x = 2 + 2$

$x = 4$

$y = \frac{1}{2}(4 - 6) + 6$

Solve 4 - 6

$y = \frac{1}{2}*-2 + 6$

Solve 1/2 * -2

$y = -1 + 6$

$y = 5$

Hence, the coordinates of T(x,y) is:

$T(x,y) = T(4,5)$

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2 years ago

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During a college fun-fair, the entrance fee for students was $12 and for teachers (and their family members) it was $30. 75 peop

solmaris [256]

Answer:

25 Students attended and 50 teachers and their family members attended

Step-by-step explanation:

50x30=1500

25x12=300

1500+300=1800

Hope this helped :)

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2 years ago

General Hospital has noted that they admit an average of 9 patients per hour.

serious [3.7K]

Answer:

(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.

(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.

Step-by-step explanation:

<u>The complete question is:</u> General Hospital has noted that they admit an average of 8 patients per hour.

(a) What is the probability that during the next hour less than 3 patients will be admitted?

(b) What is the probability that during the next two hours exactly 8 patients will be admitted?

The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

$P(X = x) = \frac{e^{-\lambda} \times \lambda^{x} }{x!} ; x = 0,1,2,......$

Here X = Number of patients admitted in the hospital

$\lambda$ = arrival rate of patients per hour = 9 patients

So, X ~ Poisson( $\lambda$ = 9)

(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\frac{e^{-9} \times 9^{0} }{0!} + \frac{e^{-9} \times 9^{1} }{1!} + \frac{e^{-9} \times 9^{2} }{2!}$

= $e^{-9} +(e^{-9} \times 9)+ \frac{e^{-9} \times 81}{2}$

= <u>0.00623</u>

(b) Here, $\lambda = 9 \times 2$ = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.

So, X ~ Poisson( $\lambda$ = 18)

Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)

P(X = 8) = $\frac{e^{-18} \times 18^{8} }{8!}$

= <u>0.00416</u>

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2 years ago