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3 years ago

A cinema has 3 screens.last saturday there were 500 visitors

Mathematics

1 answer:

mafiozo [28]3 years ago

5 0

Answer:

200 screen 1

125 screen 2

175 screen 3

Distribution of 500 visitors =100% attendees.

We remove a zero to find 1/10th. By converting 500 } 50/10 = 10 x 50

Step-by-step explanation:

when you add up; 40/10 + 25/10 = 4.0 + 2.5

and show 7.5 is the same as a + b + 1 x 100

and above 7.5 = 175/100 = 1 .75

Or use the counter x = multiply by 50

40/10 + 25/10 = 6.5

6.5-10 = 3.5

x =3.5 x 50

For this last one we can pose new question where 300 visitors was the original total then create new data for new question.

where x = multiply by 30 and create all to tenths etc.

We subtract the shown tenths only to find the total

Then same will apply above with new data.

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2 years ago

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Thoko deposited R300 every month into savings account from january 31,2020 until January 2022.How many.How many R300's did Thoko

Semenov [28]

Answer:

Step-by-step explanation:

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From 31 January 2020 to 31 December 2020 = 12 months

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2 years ago

A survey by the Pew Research Center asked a random sample of 2142 U.S. adults and a random sample of 1055 college presidents how

gayaneshka [121]

Answer: 0.0125

Step-by-step explanation:

Given : A survey by the Pew Research Center asked a random sample of 2142 U.S. adults and a random sample of 1055 college presidents how they would "rate the job the higher education system is doing in providing value for the money.

5% the U.S. adults and 17% of the college presidents provided a rating of "Excellent."

i.e. $n_1=2142,\ n_2=1055$

$p_1=0.05$ , $p_2=0.17$

The standard error of the difference in sample proportions :-

$\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

$=\sqrt{\dfrac{0.05(1-0.05)}{2142}+\dfrac{0.17(1-0.17)}{1055}}\\\\=0.0124867775151\approx0.0125$

Hence, the standard error of the difference in sample proportion = 0.0125

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3 years ago

Sally is standing at one corner of a snowy rectangular field that measures 200 ft by 200 ft. She wishes toreach a warm cabin loc

pshichka [43]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The optimal point(i.e the position of P) that will allow Sally to reach the cabin as quickly as possible is $d = 50 \ ft$ from the cabin.

Step-by-step explanation:

From the question we are told that

The speed from the point Sally is standing to the point P is $u = 3 \ ft /s$

The speed from the point P to the cabin is $v = 5 \ ft /s$

Let denote the distance from the bottom left corner to the P be y ft

Generally according to Pythagoras theorem the distance from Sally's first position to point P is mathematically represented as

$s = \sqrt{y^2 + 200^2}$

Generally the distance from that point P to the cabin is mathematically represented as

$d = 200 -y$

Generally the time it takes Sally to cover that distance s is mathematically represented as

$t_1 = \frac{s}{u}$

=> $t_1 = \frac{ \sqrt{y^2 + 200^2}}{3}$

Generally the time it takes Sally to cover that distance d is mathematically represented as

$t_2 = \frac{d}{v}$

=> $t_2 = \frac{ 200 - y }{5}$

So the total time taken is

$t= \frac{ \sqrt{y^2 + 200^2}}{3} + \frac{ 200 - y }{5}$

Generally the minimum time taken with respect to the distance is mathematically evaluated by differentiating and equating the derivative to 0

$\frac{dt}{dy} =\frac{1}{3} \frac{y}{ \sqrt{y^2 + 200^2} } - \frac{1}{5} =0$

=> $\frac{dt}{dy} = \frac{y^2 }{y^2 + 200 ^2} =\frac{9}{25}$

=> $25y^2 = 9y^2 + 9 * 200^2$

=> $16y^2 = 360000$

=> $y = 150$

So the distance from point P to the cabin is

$d = 200 -150$

=> $d = 50 \ ft$

So the optimal point(i.e the position of P) that will allow Sally to reach the cabin as quickly as possible is $d = 50 \ ft$ from the cabin

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2 years ago

Hello please help i’ll give brainliest

tigry1 [53]

Nomads …………………………………….

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2 years ago