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k0ka [10]
4 years ago
9

Mr. Toshio lent out 11 rulers at the beginning of class, collected 4 rulers in the middle of class, and gave out 7 at the end of

class. He had 18 at the end of the day. How many rulers did he start with?
Mathematics
2 answers:
Drupady [299]4 years ago
8 0
Mr. Toshio had 32 rulers. 32-11 = 21 rulers. 21+4 = 25 rulers. and 25-7 = 18 rulers
astra-53 [7]4 years ago
7 0

Answer:

Mr. Toshio started with 32 rulers

Step-by-step explanation:

Let x be the number of rulers he start with

Mr. Toshio lent out 11 rulers at the beginning of class

Number of rulers - 11

x-11

He  collected 4 rulers in the middle of class. So we add 4

x-11+4

He gave out 7 at the end of class. So we subtract 7

x-11+4-7

He had 18 at the end of the day.

x-11+4-7=18

x-14=18

Add 14 on both sides

x=32

Mr. Toshio started with 32 rulers

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A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those date
Anni [7]

Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

4.615, 8.031

Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]

From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

Hence,

[34.34*26 / 41.923] ; [34.34*26 / 13.844]

[21.297 ; 64.493]

The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

4.615 < σ < 8.031

3 0
3 years ago
Which of the following arguments correctly justifies the second step of the flow proof of the triangle angle sum theorem below
pochemuha
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3 years ago
A weather forecaster says the temperature will be about-5C “give or take” 10 degrees. What is the greatest possible temperature?
IRINA_888 [86]

The greatest possible temperature is 5^{\circ} \mathrm{C} and least possible temperature is -15^{\circ} \mathrm{C}

<u>Solution:</u>

Given that according to weather forecaster the temperature will be about -5 degree celsius given or take 10 degree”

Need to determine greatest possible temperature and least possible temperature.

Give and take in given statement means a temperature can go up by 10 degrees and can go down by 10 degrees

So greatest possible temperature will be -5^{\circ} \mathrm{C}+10^{\circ} \mathrm{C}=5^{\circ} \mathrm{C}

Least possible temperature will be -5^{\circ} \mathrm{C}-10^{\circ} \mathrm{C}=-15^{\circ} \mathrm{C}

Hence according to weather forecaster, greatest possible temperature = 5^{\circ} \mathrm{C} and least possible temperature = -15^{\circ} \mathrm{C}

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After awarding its money this year, the program received a gift of $1,275. The program leader decided to award this money to an
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