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3 years ago

Part C of Jim and his dad are building a rectangular flower bed.

Mathematics

1 answer:

charle [14.2K]3 years ago

6 0

I gotchu

The perimeter is 35. If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change. This means that perimeter will no longer be 35. So in order to keep the perimeter as it is, if we change one dimension, we must also change the other.

Let's solve for the length, using the formula to see how much the length changes from.

p = 2l + 2w

35 = 2l + 2(15)

35 = 2l + 30

5 = 2l

2.5 = l

We must increase the length from 2.5 feet. This is because decreasing one dimension will decrease the perimeter. But if we increase the other dimension as well, it will restore the perimeter to where is was initially.

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When a decimal is written in word form, what indicates whether the number can be written as a mixed number or as a fraction less

vekshin1

9514 1404 393

Answer:

"and"

Step-by-step explanation:

Properly written, the word "and" separates the integer portion from the fractional portion of the number. If there is no "and", then there is no integer portion, so the number is a fraction less than 1.

Examples:

one and three tenths = 1 3/10

thirty-one thousandths = 31/1000

8 0

3 years ago

Which lengths could be the sides of a triangle?

galina1969 [7]

345,354,354,341,098cm

5 0

4 years ago

A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medica

expeople1 [14]

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

$M = \frac{1850 + 2000}{2} = 1925$

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.898

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample.

Since $M = 75, T = 2.898, n = 18$

$M = T\frac{s}{\sqrt{n}}$

$75 = 2.898\frac{s}{\sqrt{18}}$

$s = \frac{75\sqrt{18}}{2.898}$

$s = 109.7992$

The sample standard deviation is of 109.7992 calories.

6 0

3 years ago

Make x the subject: y= (x+10)^2

Elis [28]

Answer:

x = - 10 ± $\sqrt{y}$

Step-by-step explanation:

y = (x + 10)² , or

(x + 10)² = y ( take square root of both sides )

x + 10 = ± $\sqrt{y}$ ( subtract 10 from both sides )

x = - 10 ± $\sqrt{y}$

4 0

2 years ago

Read 2 more answers

Ann believes that y= 3x (x -7) is a quadratic function. Jordan says that she is wrong because the degree (highest exponent) is n

ad-work [718]

Answer:

Ann us correct. It's a quadratic function.

Step-by-step explanation:

Given equation is,

y = 3x(x - 7)

By converting this equation into the standard quadratic equation,

y = 3x² - 21x

Highest exponent of the polynomial equation is 2 (Exponent of highest degree variable x²). This decides that the given function is a quadratic function.

Therefore, Ann is correct. It's a quadratic function.

5 0

3 years ago