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stealth61 [152]
3 years ago
8

Martin had 7 pounds of grapes left, and he gave away 2 5 of them. Explain how to use compatible numbers to estimate the amount o

f grapes he gave away.
Mathematics
2 answers:
nalin [4]3 years ago
3 0

Compatible numbers are numbers which are easy to do mental calculation. For example is when doing division like 25 and 5, 100 and 10, and 36 and 6.

First, we know that: 7 pounds=5 pounds + 2 pounds

                                or 7=5+2

In mathematics, the word “of” means to multiply. So:

                                grapes given away = 7  * (2/5)

Replacing 7 with 5 and 2:

                                                                = (5+2)*(2/5)

Using the distribution principle:

                                                =5*(2/5) + 2*(2/5)

                                                =2+ 4/5

                                =2 4/5

So grapes given away is 2 4/5 pounds.

marusya05 [52]3 years ago
3 0
<span>2/5 is close to 1/2, and it is easy to find 1/2 of 7 mentally. Half of 7 is 3.5, so Martin gave away about 3.5 pounds.</span>
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Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let p_{1} be the probability that commercial cars have rear license plates and p_{2} be the probability that connected trucks have rear license plates.

                         Cars                     Trucks                         Total

Total                  2049                    334                             2383

x                          239                      45                                284

p                        0.1166                   0.1347                          0.1191

α=0.05

Hypothesis will be  :

H_{0}:p_{1} =p_{2}

H_{1} :p_{1} < p_{2}

It is a left tailed test at 0.05 significance.

Standard errors of p=\sqrt{p(1-p)/n}

=\sqrt{(0.1191*0.8809)/2383}

=\sqrt{0.1049/2383}        

=0.0066

Test statistic Z=p difference/standard error

=(0.1166-0.1347)/0.0066

=-0.0181/0.0061

=-2.967

p value=0.001505<5%

Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so  we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

Learn more about z test at brainly.com/question/14453510

#SPJ4

5 0
2 years ago
Help?
vodomira [7]
M = ounces of M&M
r = ounces of raisins

calories = 139m + 85r

calories < 600

139m+85r<600


3 0
3 years ago
Twice the sum of x and 5
SIZIF [17.4K]
I believe it would be x+5^2
3 0
3 years ago
Read 2 more answers
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