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tresset_1 [31]
3 years ago
6

He lifted 100 kilograms and 132.5 kilograms. What was the combined weight of his lifts in grams?

Mathematics
1 answer:
Olegator [25]3 years ago
7 0
So add them together
100+132.5=232.5 kg

kilograms=1000 grams so
232.5kg=1000 times 232.5 grams

232500 grams
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A dolphin jumps 54 times in a 6 hour period. At this rate, how many jumps would be expected in a 2-hour period?
Lemur [1.5K]

Answer:

The dolphin will jump 18 times in 2hours.  

Step-by-step explanation:

Find the jumps per hour: 54/6 = 9

^This means that the dolphin jumps 9 times in an hour.

9*2 (hours) = 18

The dolphin will jump 18 times in two hours.

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2 years ago
Help with question 2
ANTONII [103]
The area can be found by multiplying the two together. 11x12=132. 

The area is 132.
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8 friends share 1/3 of a bag of chips. If they each get an equal share how much of the bag of chips does each friend get?
SVETLANKA909090 [29]

Answer:

0.04166666666

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Step-by-step explanation:

1/3 divided 8 = 0.417 (rounded)

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2 years ago
The radius of a circle is 15. Using π, which equation expresses the ratio of the circumference to the diameter of a circle?
Kobotan [32]

Answer:

The equation which expresses the ratio of the circumference to the diameter of a circle is  \frac{C}{30}=\pi ⇒ D

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

\frac{C}{d}=\pi , where

  • C is the circumference of the circle
  • d is the diameter of the circle

∵ The circumference of the circle is C

∵ The radius of the circle is 15 units

∴ r = 15 units

- Find the diameter of the circle

∵ The diameter of the circle d = 2 r

∴ d = 2(15) = 30 units

∴ The diameter of the circle is 30 units

∵ \frac{C}{d}=\pi

∵ d = 30 units

∴ \frac{C}{30}=\pi

The equation which expresses the ratio of the circumference to the diameter of a circle is  \frac{C}{30}=\pi

6 0
4 years ago
An e-commerce research company claims that 60% or more graduate students have bought merchandise on-line at their site. A consum
Elena-2011 [213]

Answer:

z=\frac{0.55 -0.6}{\sqrt{\frac{0.6(1-0.6)}{80}}}=-0.913  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of graduate students show that only 44 students have ever done so is not significantly lower than 0.6

Step-by-step explanation:

Data given and notation

n=80 represent the random sample taken

X=44 represent the students that have bought merchandise on-line at their site

\hat p=\frac{44}{80}=0.55 estimated proportion of graduate students show that only 44 students have ever done so

p_o=0.6 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of interest is lower than 0.6 or 60%, so then the system of hypothesis are.:  

Null hypothesis:p \geq 0.6  

Alternative hypothesis:p < 0.6  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.55 -0.6}{\sqrt{\frac{0.6(1-0.6)}{80}}}=-0.913  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed for this case is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of graduate students show that only 44 students have ever done so is not significantly lower than 0.6

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3 years ago
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