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skad
2 months ago
7

The standard kilogram (fig. 1.1a) is a platinum–iridium cylinder 39.0 mm in height and 39.0 mm in diameter. what is the density

of the material?
Mathematics
1 answer:
AnnZ [12.3K]2 months ago
6 0
The volume of a cylinder can be determined using the formula pi*h*d^2/4, which leads us to V = pi*(39 mm)(39 mm)^2 / 4 = 46,589 mm^3. Dividing the mass of 1 kg by the volume of 46,589 mm^3 results in a density of 2.1464 x 10^-5 kg/mm^3. Typically, density is expressed in kg/m^3, so we convert this by multiplying by 1x10^9, yielding a density of 21,464 kg/m^3.
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In a sample of 88 adults selected randomly from one town, it is found that 6 of them have been exposed to a particular strain of
tester [12383]

Response with clarification:

Let p denote the proportion of adults in the town who have encountered this flu strain.

According to the provided information

H_0:p=0.08\\\\ H_a: p\neq0.08

∵ H_a this is a two-tailed test.

Test statistic:

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

, where p= denotes the population proportion

{\hat{p} = signifies the sample proportion

n= represents the sample size

Setting n= 6 and {\hat{p}=\dfrac{6}{88}\approx0.068 and p=0.08

z=\dfrac{0.068-0.08}{\sqrt{\dfrac{0.08(1-0.08)}{88}}}

z=\dfrac{-0.012}{0.0289199522192}\approx-0.415

P-value for the two-tailed test:[2P(Z>|z|)

=2P(Z>|-0.415|)

=2P(Z>0.415) = 2[1-P(Z≤0.415)] [∵ P(Z>z)=1-P(Z≤z)]

=2(1-0.6609) [from the z-table]

=0.6782

Decision: Because the p-value(0.6782) exceeds the significance level of 0.01, we do not reject the null hypothesis.

This leads us to conclude that there is insufficient evidence to back the assertion that the percentage of all adults in this town exposed to this flu strain deviates from the national average of 8%.

8 0
1 month ago
How much profit was generated by the sales of gold label and black label combined?
lawyer [12517]
The profit produced by combining sales of gold label and black label equals the total of their individual profits. From the table \begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Gold label}&1,000&\$2.75\end{array} you find the gold label's profit 1,000\cdot \$2.75=\$2,750. and similarly from another table \begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Black label}&2,000&\$1.50\end{array} find the black label's profit 2,000\cdot \$1.50=\$3,000.. Adding these yields \$2,750+\$3,000=\$5,750.. Thus, option 5 is the correct choice.
8 0
3 months ago
Read 2 more answers
LMN is a straight angle. Find m LMP and m NMP​
PIT_PIT [12445]

Answer:

(-16x + 13)° + (-20x + 23)° = 180° (ángulo recto)

-16x° + 13° - 20x° + 23° = 180°

-36x° + 36° = 180°

-36x° = 180° - 36°

-36x° = 144°

-x° = 144°/(-36)

x° = 36°

Espero que puedas conocer esta respuesta

3 0
3 months ago
CORINA INDRAGESTE FOARTE MULT ANIMALELE IN DAR DE ZIU EI A PRIMIT O CARTE DESPRE LUMEA LOR MINUNATA IN PRIMA ZI EA A CITIT 36 DE
babunello [11817]
The answer I arrived at is related to paging.
7 0
1 month ago
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