Solving a word problem with two unknown using a linear equation

Mathematics

1 answer:

alexdok [17]3 years ago

6 0

I believe your answer would be 406 hamburgers. 688 ÷ 2 = 344; 344 - 62 = 282; 688 - 282 = 406.

Hope this helps,
♥<em>A.W.E.<u>S.W.A.N.</u></em>♥

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Assume that X is Normal with mean $ 240 and standard deviation $60 . the probability that , in a randomly selected week , Dan wi

enyata [817]

Answer:

The probability of Dan making less than $255 is 0.5987 or 59.87%

Step-by-step explanation:

Given that:

Mean = μ = $240

SD = σ = $60

We have to find the probability that Dan will make less than $255

First of all, we have to find the z-score of 255

z-score is denoted by z and is given by the formula

$z = \frac{x-mean}{SD}$

Here,

x = 255

Putting the values

$z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25$

Now we have to look at the z-score table to find the probability of 0.25

P(x<255) = 0.5987

Converting into percentage

59.87%

Hence,

The probability of Dan making less than $255 is 0.5987 or 59.87%

3 0

3 years ago

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsul

mezya [45]

Diameter of the cylindrical portion of capsule = 5 mm
Length of the cylindrical portion of capsule = 14 mm - 5mm = 9 mm

Curved surface area of the cylindrical portion of capsule = $2\pi \: rh$
$= 2 \times \frac{22}{7} \times \frac{5}{2} \times 9 = \frac{990}{7} mm {}^{2}$
Curved surface area of two hemisphere = $4\pi \: r {}^{2}$
$= 4 \times \frac{22}{7} \times ( \frac{5}{2} ) {}^{2}$
$= 4 \times \frac{22}{7} \times \frac{25}{4} = \frac{550}{7} mm {}^{2}$

Surface area of the capsule = Curved surface area of cylindrical portion + Curved surface area of hemispherical ends
$= ( \frac{990}{7} + \frac{550}{7} ) \: mm {}^{2} = 220 \: mm {}^{2}$