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3 years ago

What is 12 1/2%expressed as a fraction?

Mathematics

1 answer:

lys-0071 [83]3 years ago

8 0

Answer:

12.5/100

Step-by-step explanation:

its a percentage, so its out of 100

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Five friends equally shared half of one large pizza and 1/4 of another large pizza. what fraction of each pizza did each friend

attashe74 [19]

1/2 divide by 5= 1/10
1/4 divide by 5= 1/20 so 1/10 is also 2/20+1/20=3/20

so the answer is 3/20 of a pizza
hope this helped and plz leave a thank you

3 0

3 years ago

In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi

Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n = 50

sample mean $\overline x$ = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

$X \sim N ( \mu \sigma)$

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})$

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})$

$P(X>140) = 1 - P( Z\leq0.42)$

From z tables,

$P(X>140) = 1 - 0.6628$

$P(X>140) = 0.3372$

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

$Y \sim Binomial (np)$

$Y \sim Binomial (50,0.3372)$

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

$P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49} + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +... + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}$

P(Y ≥ 15) = 0.763

7 0

3 years ago

A water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 20 ft, approximate the volume of the t

otez555 [7]

Answer:

The approximate volume of the tank is $V=16,747\ ft^{3}$

Step-by-step explanation:

we know that

The volume of a hemisphere (water storage tank) is equal to

$V=\frac{4}{6}\pi r^{3}$

we have

$r=20\ ft$

assume

$\pi =3.14$

substitute

$V=\frac{4}{6}(3.14)(20)^{3}$

$V=16,747\ ft^{3}$

7 0

4 years ago

Find the surface area of a cylinder that has a raius of 13.5 cm., and a height of 90 cm. Show all work without using a calculato

professor190 [17]

$\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=13.5\\ h=90 \end{cases}\implies SA=2\pi (13.5)(90+13.5) \\\\\\ SA=27\pi (103.5)\implies SA=2794.5\pi \implies SA\approx 8779.18$

well, the last part will be with a calculator, but you can simply use the area in π terms.

3 0

3 years ago

Find the mode of the following data . 12,8,4,8,1,8,9,11,9,10,12,8

Y_Kistochka [10]

Answer:

Step-by-step explanation:

The mode of a set of data values is the value that appears most often

7 0

3 years ago

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