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2 years ago

0.07 is 1/10 of what

Mathematics

2 answers:

DIA [1.3K]2 years ago

8 0

Answer:

0.7

Step-by-step explanation:

Let x be our required number.

We are asked to find a number such that 1/10 of the number equals 0.07.

1/10 of the required number would be $\frac{1}{10}x$ .

Now, we will equate $\frac{1}{10}x$ with 0.07 to find our required number.

$\frac{1}{10}x=0.07$

$10*\frac{1}{10}x=10*0.07$

$x=0.7$

Therefore, 0.07 is 1/10 of 0.7.

Whitepunk [10]2 years ago

6 0

0.07 * 10 = 0.7

Hope this helps! :)

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2 years ago

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1 year ago

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Rufina [12.5K]

Answer:

a) $ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423$

b) $0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371$

Step-by-step explanation:

1) Data given and notation

n=900 represent the random sample taken

X=372 represent the students were pursuing liberal arts degrees

$\hat p=\frac{372}{900}=0.413$ estimated proportion of students were pursuing liberal arts degrees

$\alpha=0.01$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

p= population proportion of students were pursuing liberal arts degrees

2) Solution to the problem

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

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$z_{\alpha/2}=2.58$

The margin of error is given by:

$ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

If we replace we have:

$ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423$

And replacing into the confidence interval formula we got:

$0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371$

$0.413 + 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.455$

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2 years ago

As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.11.

Elis [28]

Answer:

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Step-by-step explanation:

==>Given:

Dimensions of current can:

Height (h) = 12cm

Diameter = 6cm (radius = 3cm)

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height = 12cm × 1.11 = 13.32 cm

radius = 3cm × 1.11 = 3.33 cm

Volume of future can (V2) = πr²h = 3.14*3.33²*13.32

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= 463.79 cm³ - 339.12 cm³

= 124.67cm³

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2 years ago