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asambeis [7]
2 years ago
12

Which statement about this product is true? 0.44×(-53/4)

Mathematics
1 answer:
Nookie1986 [14]2 years ago
7 0

Answer with explanation:

The number whose product we have to find is,

0.44 \times \frac{-53}{4}\\\\=\frac{44}{100} \times \frac{-53}{4}\\\\=\frac{-53 \times 11}{100}\\\\=\frac{-583}{100}=-5.83

→Actual Product = -5.83

When, you will round it to nearest Hundredth it is equal to -6.

Now ⇒ starting from option A

0.44 when rounded to nearest whole number is equal to 0.

So,

0 \times\frac{-53}{4}=0

is not closer to actual Product which is -5.83.

⇒Option B  

0.44 when rounded up≠1

Incorrect Statement

⇒Option C

-5.83, is not greater than -3.

Incorrect Statement

⇒Option D

True Statement

It is less than \frac{-53}{4} because multiplying a rational number by a number less than 1 gives a smaller number.

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Answer:

H0 is accepted

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Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

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Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

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and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

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