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Lana71 [14]
3 years ago
12

Which expression is equivalent to 24 + 20​

Mathematics
1 answer:
Maslowich3 years ago
8 0
24+20=44
4(6+5)=44
the first one
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Working alone, it takes Kristin 11 hours to harvest a field. Kayla can harvest the same field in 16 hours. Find how long it woul
viktelen [127]

Answer:

(11 hrs + 16 hrs)/2 = 13.5 hrs

13.5 hrs /2 = 6.75 hrs

8 0
3 years ago
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0
3 years ago
A vegetable garden is 12 meters long by 7 meters wide. In one square meter, you count two toads. Estimate the population of toad
zavuch27 [327]

Answer: 168 toads

Step-by-step explanation:

First we need to find the area of the garden. Area = length x width

Area = 12m x 7m = 84 m²

2 toads/ 1 sq m

84(2) = 168

6 0
3 years ago
Divided the following rational expressions<br> t^3-t^2-2t/t-5 divided by t^2-t-2
butalik [34]

t³-t²-2t/t -5 )/(t²-t-2)

(t^4-t^3-7t)/t^3-t^2-2t)

(t³-t²-7)/(t²-t-2)


I hope that's help !

7 0
4 years ago
If 1/a, 1/b, 1/c are in Arithmetic Progress, show that 2ac/a+c.​
Iteru [2.4K]
  1. 1/b-1/a = 1/c-1/b [ since they are in arithmetic progress]
  2. 1/b+1/b = 1/c+1/a
  3. 2/b = (a+c)/ac
  4. 2ac = b(a+c)
  5. 2ac/(a+c) =b

6 0
3 years ago
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