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rodikova [14]
3 years ago
15

Alisa had some juice in a bottle. Then she drank 3/8 liter of juice. If this was 3/4 of the juice that was originally in the bot

tle, how much juice was there to start?
Mathematics
1 answer:
Inessa [10]3 years ago
8 0

3/4 x ? = 3/8

3/8 ÷ 3/4 = ?

3/8 x 4/3 = 12/24

12/24 = 1/2

1/2 of a liter was there to start.

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Dimas [21]

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360°

Step-by-step explanation:

Each of the two triangles have 3 angles that add up to 180°.

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8 0
2 years ago
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

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H_1 : \sigma \neq 10

The test statistics can be computed as follows:

X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}

X^2 = \dfrac{(36 -1)10.1^2 }{10^2}

X^2 = \dfrac{(35)102.01 }{100}

X^2 = \dfrac{3570.35 }{100}

X^2 =35.704

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

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4 years ago
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Oksi-84 [34.3K]

Answer:

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The sum of the series is given as

S = a/(1 - r)

Where a is the first term in the series.

S = 7/(1 -(-7z))

= 7/(1 + 7z)

The series converges for |-7z| < 1

That is for -1/7 < z < 1/7

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