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nata0808 [166]
3 years ago
15

The formula for the perimeter of a rectangle can be expressed in more than one way. One way is P=2(l + w). Discuss how you could

manipulate this equation to isolate l. Write down the steps and include and explanation of each step. Is there more than one way to do this? Explain
Mathematics
1 answer:
ruslelena [56]3 years ago
5 0
First you would divide by 2 in both sides
P/2 = l + w

Then you would subtract w from both sides
P/2 - w = l

This is the easiest method do isolate l

You can also distribute the 2 to ( l + w) first
P= 2l + 2w

Then subtract 2w from both sides
P - 2w = 2l

Then you would divide by 2
(P - 2w) / 2 = l
P/2 - w = l
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HELP ASAP I NEED HELP LIKE NOW 30 POINTS
padilas [110]

Answer:

25

Step-by-step explanation:

Right angled triangle

Solve for hypotenuse

This is the formula <em>c=√(a^2+b^2)</em> so pug in the numbers a=24 b=7 √(24^2 + 7^2)=c=25

8 0
3 years ago
Read 2 more answers
A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa
Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is  α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion  

p(private) be the proportion of alumni of the private university who attended at least one class reunion  

Hypotheses are:

H_{0}: p(public) = p(private)

H_{a}: p(public) ≠ p(private)

The formula for the test statistic is given as:

z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}} where

  • p1 is the sample proportion of  public university students who attended at least one class reunion  (\frac{808}{1311}=0.616)
  • p2 is the sample proportion of private university students who attended at least one class reunion  (\frac{647}{1038}=0.623)
  • p is the pool proportion of p1 and p2 (\frac{808+647}{1311+1038}=0.619)
  • n1 is the sample size of the alumni from public university (1311)
  • n2 is the sample size of the students from private university (1038)

Then z=\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}} =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.  

6 0
3 years ago
Its due soon help ill give brainliest
Tomtit [17]
The answer is C, 29.75
6 0
3 years ago
Read 2 more answers
Help me please i will mark brainliest
Sidana [21]

Answer:

1056in^2

Step-by-step explanation:

5 0
3 years ago
(40 POINTS)
34kurt

Answer:

1.   y= 25400(1 + 0.11)^x

2.  2019

Step-by-step explanation:

1. y = a(1 + r)^x       <em> </em>

<em>(exponential growth formula :</em>

<em>a = initial value (the amount before measuring growth or decay) </em>

<em>r = growth or decay rate (usually represented as a percentage and expressed as a decimal) </em>

<em> x = number of time units that have passed)</em>

y= 25400(1 + 0.11)^x

so in 1 year, in 1996, we would say

y=25400(1+0.11)^1

y=25400(1.11)

y=28194

2. I found the answer by plugging in numbers into x

with x = 24

y= 25400(1+0.11)^24

y= 310874

so in 24 years, the population will surpass 302438 which would be 1995+24= 2019

3 0
3 years ago
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