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sergey [27]
3 years ago
10

The initial water level of a darn is 35 meters and decreases at a rate of 0.7 meters per day.

Mathematics
1 answer:
sdas [7]3 years ago
5 0

Answer:

A

Step-by-step explanation:

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-6/7
Negative six over seven
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Find the volume of the cone.
Dovator [93]
Volume of a cone can be found using the equation 1/3 π r² h (or π r² h / 3)

17.6 is the diameter so divide that by 2 to get the radius which is 8.8

(1/3)π(8.8²)(23.4) = (1/3)π(77.44)(23.4) = (1/3)π(1812.096) = (604.032)π

if you need a more specific answer and pi can equal 3.14 then it equals 1896.66048
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Solve for the value of p.<br> 2 X p = 42
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p =  \frac{21}{x}

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2 years ago
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We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2
Aliun [14]

Answer:

a) 2.09167

b) 0.2

c) 130 correspondents

d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 2.98hrs/day, Standard Deviation = 2.4

a) What is the Z score for a person who watches more than 8 hrs/day.

z = 8 - 2.98/2.4

= 2.09167

b) What proportion of people watch 5 hrs/day or more television?

z = 5 - 2.98/2.4

z = 0.84167

Determining the Probabilityvalue from Z-Table:

P(x<5) = 0.80001

The proportion of people watch 5 hrs/day or more television

P(x>5) = 1 - P(x<5) = 0.19999

Approximately = 0.2

c) How many does this correspond to in the sample?

From the question above, we are told that: there are 650 GSS respondents in 2006 watched television

Hence the proportion that corresponds to Question b is

0.2 × 650

= 130 correspondents

Therefore, 130 correspondents watch 5 hrs a day or more television

d) What number of television hours per day corresponds to a Z = +1.

z score formula is given as:

z = (x-μ)/σ

Z = +1

x = unknown

Mean = 2.98

Standard deviation = 2.4

Hence:

1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

2.4 + 2.98 + x

= 5.38 hours per day.

e)What is the percentage of people who watch between 1 and 6 hours of television per day?

For x = 1

z = 1 - 2.98/2.4

z = -0.825

Probability value from Z-Table:

P(x= 1) = 0.20469

For x = 6

z = 6 - 2.98/2.4

z = 1.25833

Probability value from Z-Table:

P(x = 6) = 0.89586

The percentage of people who watch between 1 and 6 hours of television per day is calculated as:

P(x = 6) - P(x = 1)

0.89586 - 0.20469

= 0.69117

Converting to percentage,

0.69117 × 100%

= 69.117%

To the nearest whole number = 69%

Therefore, 69% of the people who watch between 1 and 6 hours of television per day

3 0
3 years ago
What is the sum of the rational expressions below?<br> x/5+2/3x
Naya [18.7K]

Answer:

B

Step-by-step explanation:

x/5 + 2/3x

first you multiply both denominator.

this will be you denominator unless you can simplify it.

denominator=5 x 3X = 15X

now you times both denominator with the opposite numerator.

e.g. 5 x 2 and X x 3X.

=10 and 3X^2

now you and both numerators which is 3X^2 + 10

so the answer is b

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3 years ago
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