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The following items are available for use in a pan balance to measure the weight of a large rock. Which items will yield the gre

weqwewe [10]

The correct option is B.
Pan balance is one of the instruments that are used to measure weights of objects. The instrument is designed in such a way that, it has two pans and a standard weight can be added to one of the pan to determine the weight of the object in the other pan. In the question given above, the pan balance is to be used to measure the weight of a large rock. Salt is the right object to be used on the second pan because it can be packaged in standard weights and it is very light in weight. So, it will be very sensitive to the weight of the rock that is been added on the other pan.

8 0

2 years ago

Throughout the 2016 Presidential election primaries, Millennials (those aged 20 t 36 years) consistently supported Senator Berni

Dmitrij [34]

Answer:

The 90% confidence interval for the support of Sanders by millenials is between 53% and 57%.

$0.53 \leq p \leq 0.57$

Step-by-step explanation:

In this question we have to calculate a confidence interval (90% CI) on the proportion of millenials that had a favorable opinion on Sanders.

The sample size is n=1,754.

The p-hat, taken from the poll, is

$\hat{p}=0.55$

The estimated standard deviation is equal to:

$\sigma_p=\sqrt{\frac{p(1-p)}{N}}=\sqrt{\frac{0.55*0.45}{1754}}=0.012$

For a 90% CI, the z-value is z=1.645.

Then, the confidence interval is

$\hat{p}-z*\sigma_p\leq p\leq\hat{p}-z*\sigma_p\\\\0.55-1.645*0.012\leq p\leq 0.55-1.645*0.012\\\\0.55-0.02 \leq p \leq 0.55+0.02\\\\0.53 \leq p \leq 0.57$

6 0

2 years ago

Liam's bookstore sold 4 0 4040 notebooks and 2 0 2020 newspapers for a total of $ 1 3 0 $130dollar sign, 130. A day later, the b

EleoNora [17]

Lets say that:
X = price of each notebook
Y = price of each newspaper

So from the problem statement we can create the following equations:
40 X + 20 Y = 130 --> eqtn 1
8 X + 4 Y = 28 --> eqtn 2

Divide both equations by the lowest coefficient to simplify:
Divide eqtn 1 by 20 => 2 X + Y = 6.5
Divide eqtn 2 by 4=> 2 X + Y = 7

So we can see that although both equations has equal left side, the right side do not match. Hence this problem is impossible to solve.

so the given information describes an impossible situation.

8 0

2 years ago

At a restaurant, Table A's bill of $72 is split equally between the people at the table. Table B has two more than people than T

nikitadnepr [17]

Answer:

table A has 4 peoples

table B has 6 peoples

6 0

1 year ago

OFFERING 50 POINTS!!! The army reports that the distribution of waist sizes among female soldiers is approximately normal, with

hammer [34]

Answer:

Step-by-step explanation:

1)

Percentile is related to the area under the standard normal curve to the LEFT of a certain data value (which in this case would be 26.1 inches).

On my Texas Instruments TI-83 Plus calculator, I found this area as follows:

normcdf(-100, 26.1, 28.4,1.2), where the range -100 to 26.1 represents the area (as a decimal fraction) to the left of 26.1 inches. My result was 0.028, which corresponds to the 3rd percentile (0.028 rounds off to 0.03, which would be 3rd percentile).

2) The mean waist size is 28.4 inches, represented by a vertical line through the standard normal curve lying between 24 and 32. We use the same function on the calculator: normcdf(24, 32, 28.4, 1.2).

The result is 0.9985. Subtracting this from 1.0000, we get 0.001, or 0.1%, which is the percentage of female soldiers requiring custom uniforms.

4 0

1 year ago