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kolbaska11 [484]
3 years ago
8

on the first day of the year, you have $700 in your bank account. you spend $35 per week. your friend starts the year with $450

in his bank account. he saves $15 per week. solve the equation 700 – 35w = 450 15w to find out how many weeks, w, it will take for you and your friend have the same amount of money in your accounts.
Mathematics
2 answers:
____ [38]3 years ago
7 0
5weeks
<span>Good! Since you want to find when both of you have the same amount of money, you can set the two expressions representing the money equal to each other. This gives the equation $700 – $35 per week • weeks = $450 + $15 per week • weeks. Solving the equation, you find that you will have the same amount of money in 5 weeks.</span>
MrRa [10]3 years ago
3 0
700 - 35w = 450 + 15wLet's flip this equation450 + 15w = 700 - 35wNow, add both sides by 35w450 + 50w = 700Subtract both sides by 45050w = 250Divide both sides by 50w = 5
Thus, it will take 5 weeks for you an your friend to have the same amount of money.
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2 years ago
According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o
WITCHER [35]

Answer:

0.15651

Step-by-step explanation:

This can be approximated using a Poisson distribution formula.

The Poisson distribution formula is given by

P(X = x) = (e^-λ)(λˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to x)

where λ = mean of distribution = 20 red bags of skittles (20% of 100 bags of skittles means 20 red bags of skittles)

x = variable whose probability is required = less than 16 red bags of skittles

P(X < x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to (x-1))

P(X < 16) = Σ (e^-λ)(λˣ)/x! (Summation From x=0 to x=15)

P(X < 16) = P(X=0) + P(X=1) + P(X=2) +......+ P(X=15)

Solving this,

P(X < 16) = 0.15651

4 0
3 years ago
Seventeen candidates have filed for the upcoming county council election. 7 are women and 10 are men a) Is how many ways can 10
tankabanditka [31]

Answer: (a) 19448 ways

(b) 5292 ways

(c) 0.2721

Step-by-step explanation:

(a) 10 county council members be randomly elected out of the 17 candidates in the following ways:

= ^{n}C_{r}

= ^{17}C_{10}

= \frac{17!}{10!7!}

= 19448 ways

(b) 10 county council members be randomly elected from 17 candidates if 5 must be women and 5 must be men in the following ways:

we know that there are 7 women and 10 men in total, so

= ^{7}C_{5} × ^{10}C_{5}

= \frac{7!}{5!2!} × \frac{10!}{5!5!}

= 21 × 252

= 5292 ways

(c) Now, the probability that 5 are women and 5 are men are selected:

= \frac{ ^{7}C_{5} * ^{10}C_{5}}{^{17}C_{10}}

= \frac{5292}{19448}

= 0.2721

8 0
3 years ago
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