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2 years ago

If luke’s is 5 years younger than 3 times Syndey’s age , s. in this situation what does 3s represent

Mathematics

2 answers:

Ilya [14]2 years ago

6 0

It should represent Sydney's age, right? The equation would be 3s-5 I'm 99% sure lol

Tamiku [17]2 years ago

3 0

3s represents Syndey's age times 3

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injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and ri

diamong [38]

Answer:

The length of the track is approximately 51.7 ft

The track has three sides of the square and the distance round a half of a complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track = Square

The shape on the right side of the track = Half circle

The area of the square on the the left side of the track = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has three sides of the square and the distance round a half of a complete circle.

5 0

2 years ago

The total number of shares in Marks brothers is increased by 12.8% how many shares will there be after the increase

Lisa [10]

Answer:

Total number of shares is to increase by 12.8%

Step-by-step explanation:

After increase the number of shares will be 87984. hope this helps you :)

8 0

2 years ago

Find the gradients of lines A and B

mel-nik [20]

Step-by-step explanation:

$the \: gradient \: of \: line \: a \: is$

$m = \frac{4}{1 } \\ m = 4$

$the \: gradient \: of \: line \: b \: is$

$m = \frac{ - 2}{1} \\ m = - 2$

6 0

2 years ago

The average weight of a chicken egg is 2.25 ounces with a standard deviation of 0.2 ounces. You take a random sample of a dozen

n200080 [17]

Answer:

$P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

On this case $\bar X \sim N(2.25,\frac{0.2}{\sqrt{12}})$

Solution to the problem

We want this probability:

$P(\bar X$

The best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(\bar X$

5 0

2 years ago

Emily is making a meal for her family. She uses coconut milk for the dessert she is making.

Artyom0805 [142]

Answer:

576 cm^3

Step-by-step explanation:

Express this volume formula as V = π r^2 h, where the " ^ " symbol indicates exponentiation. Substitute 4 for r (this is half the diameter), 12 cm for h, and 3 for π: V = 3*(4)^2*12 cm^3, or V = 576 cm^3.

3 0

2 years ago