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timurjin [86]
3 years ago
6

Amazon sells 2 packages of protein bars:

Mathematics
1 answer:
zzz [600]3 years ago
8 0

Answer:

A. The 12-pack of 1.4 ounce bars has the best price per bar. B The 10 pack of 2.1 ounce bars has the best price per ounce. C I think that the 12-pack of 1.4 ounce bars are the best to buy.

Step-by-step explanation:

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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
Zina [86]

check the picture below.


bearing in mind that there are 60 minutes in 1 degree, then 16°18' will be 16.3° and likewise 48°51' will be 48.85° if we convert those to degrees only.


\bf y=\cfrac{200}{tan(48.85^o)}~\hspace{10em}x=\cfrac{200}{tan(16.3^o)}-y \\\\\\ x=\cfrac{200}{tan(16.3^o)}-\cfrac{200}{tan(48.85^o)}\implies x\approx 683.95 - 174.78\implies x\approx 509.17

6 0
3 years ago
Bottling cola A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 3
erik [133]

Answer:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:

X \sim N(298,3)  

Where \mu=298 and \sigma=3

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

4 0
3 years ago
Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millil
alekssr [168]

Answer: The actual height of train = 4.896 meters.

Step-by-step explanation:

Since we have given that

Lina has a scale model of a modern train

Model is created at a scale is given by

1:48

Height of the model train = 102 millimeters

We need to find the actual height of the train.

Since there is direct variation between model and actual height of the train.

According to question,

\frac{1}{48}=\frac{102}{x}\\\\x=102\times 48\\\\x=4896\ millimeters\\\\x=4.896\ m

Hence, the actual height of train = 4.896 meters.

6 0
3 years ago
HELP!!!!!!!!!
Anastasy [175]

Answer:

∠ABC ≅ ∠DEC

∠DEC = ∠GEF

thus:

∠ABC = ∠GEF

∠GFE ≅ ∠DCE

∠DCE = ∠ACB

thus:

∠ACB = ∠GFE

If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.

thus: ΔABC ∼ ΔGEF by AA similar triangle postulate

I hope this helps

3 0
3 years ago
Y = 2x – 1<br><br> Please help
masya89 [10]
Positive 2 is your slope, (rise over run) if you have to graph it and -1 is your y-intercept
5 0
3 years ago
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