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4 years ago

Alex has a pet snake that eats 1 mouse every week. How many mice will the snake eat if Alex has the snake for 4 years?

Mathematics

2 answers:

timama [110]4 years ago

7 0

Answer:

Step-by-step explanation:

77julia77 [94]4 years ago

3 0

Answer:

208

Step-by-step explanation:

one snake a week

52 weeks in a year

4 years

52*4=208

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A sample of 20 pages was taken from a Yellow Pages directory. On each page, the mean area devoted to display ads was measured in

Snezhnost [94]

The 95 percent confidence interval for the mean is (266.76,426.24).

A confidence interval is how much uncertainty there is with any particular statistic. Confidence intervals are often used with a margin of error. It tells you how confident you can be that the results from a poll or survey reflect what you would expect to find if it were possible to survey the entire population. Confidence intervals are intrinsically connected to confidence levels.

The formula of Confidence Interval = Mean ± $t\frac{Standard Deviation}{\sqrt{number of observations} }$

where t is a constant

Given:

Mean = 346.5

Standard Deviation = 170.378

t-critical value for 95% Confidence interval with degrees of freedom(df)=n-1= 19 is 2.093

∴ Substituting values in formula we get

E = $2.093 X170.378/\sqrt{20}$ = 2.0931.96 x 38.0976=79.74

95% Confidence interval : (346.5-79.74,346.5+79.74)

95% Confidence interval : (266.76,426.24)

Learn more about confidence intervals here :

brainly.com/question/24131141

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4 0

2 years ago

The length of each side of a triangle is increased by 30%. By what percentage is the area increased?

patriot [66]

Answer:

When sides are doubled, the area of new triangle will always be 4 times the original, the change in area will be 3 times. Hence the % change will always be 300% irrespective of the type of triangle.

Step-by-step explanation:

5 0

3 years ago

The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence

vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0

3 years ago

The Becks buy a plastic tarp to cover their firewood. A rectangle that is eight and one-third yards long and six and three-fourt

Dmitriy789 [7]

Answer:

56 1/4 yards

Step-by-step explanation:

Area of the tarp = length × width

Length = 8 1/3 yards

Width = 6 3/4 yards

Area of the tarp = length × width

= 8 1/3 yards × 6 3/4 yards

= 25/3 × 27/4

= (25 * 27) / (3 * 4)

= 675 / 12

= 56 1/4 yards

Area of the tarp = 56 1/4 yards

3 0

3 years ago

(Sinθ-cosθ)(sinθ+cosθ)=1-2cos^2θ

ohaa [14]

Answer:

See below

Step-by-step explanation:

$( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS$

Thus proved

8 0

3 years ago