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Anton [14]
3 years ago
12

Brian has 2,000 small blocks. he decided to share them with his cousin, tia. he gave tia 1/4 of the blocks. how many blocks did

he keep? how many did he give to his cousin?
Mathematics
1 answer:
Aliun [14]3 years ago
6 0
He gave Tia 500 blocks and kept 1,500 to himself.
1/4 of 2000 is 500
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An educational psychologist wishes to know the mean number of words a third grader can read per minute.
Rama09 [41]

Answer: 208.

Step-by-step explanation:

The formula to find the minimum sample size is given by :-

n= (\dfrac{z^*\times \sigma}{E})^2                                    (1)

, where z* = critical z-value (two tailed).                                                                      

\sigma = Standard deviation ( from prior study ) and E = Margin of error.

As per given , we have

Margin of error : E= 0.29

Confidence level = 85%

Significance level =\alpha=1-0.85=0.15

Using z-table , the critical value (two -tailed)=z^*=z_{\alpha/2}=z_{0.15/2}=z_{0.075}=1.439

As per previous study , Variance =\sigma^2=8.41

\sigma=\sqrt{8.41}=2.9

Now, the required minimum sample size = n= (\dfrac{(1.439)\times (2.9)}{0.29})^2   [Substitute the values in formula (1)]

n=(14.39)^2

n=207.0721\approx208  [ Round to the next integer]

Hence, the minimum number of third graders that must be included in a sample = 208.

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Answer:

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Step-by-step explanation:

<u>Use points on the graph:</u>

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<u>Find the slope:</u>

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<u>The y-intercept is known b = 7, so the equation is:</u>

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We are given that the insect can lift 1.182 x 10^3 times it's own weight. Say that w is weight, so the lift is:

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Assuming that your body weight is 60 kg, therefore you can lift:

lift = 1.182 x 10^3 * 60 kg = 70,920 kg

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