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Solve for x, y, and z: 5x - 2y = 19 , 3x + 3z = 21 , y + z = 2

Like when there are two unknowns, the best way to solve this kind of problem is to rearrange and substitute, but because there are three unknowns, it's a bit more fiddly. To solve this you want to pick and i...
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Answered by Dan T. • Maths tutor
8205 Views

Shower-cleaner liquid is sold in spray bottles. The volume of liquid in a bottle may be modelled by a normal distribution with mean 955 ml and a standard deviation of 5 ml. Determine the probability that the volume in a particular bottle is:

a) at most 960 ml Let X be the volume of liquid in a particular bottle, then we want to find P(X <= 960). We first need to transform from X to Z (to the standard normal distribution) so that we can use th...
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Answered by Sarah S. • Maths tutor
6860 Views

A gym has 275 members. 40% are bronze members. 28% are silver members. The rest are gold members. Work out the number of gold members.

Firstly, we can calculate the total percentage of gold members = Total - bronze - silver Therefore, %gold = 100% - 40% - 28% = 32% So we know that 32% of 275 members are gold, and to find the total number of...
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Answered by Sarah S. • Maths tutor
10825 Views

What is the difference between a receptor and an effector in the nervous system?

A receptor detects the stimuli and converts it into an impulse and an effector converts the impulse into an action. An example of a receptor is a light receptor in the eye which detects changes in light in t...
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Answered by Sundas B. • Biology tutor
93030 Views

How does present perfect work?

Present perfect is the most commonly used past tense in German. It consists of an auxiliary verb and the past participle of the main verb. The auxiliary verb is usually haben conjugated in the present tense ...
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Answered by Emma B. • German tutor
2003 Views