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3 years ago

Gary is 8 years older than his brother. Six years ago Gary was three times as old as his brother. How old are they now?

Mathematics

1 answer:

Yuliya22 [10]3 years ago

8 0

Answer:Gary-18 years brother-10 years

Step-by-step explanation:1st case: brother=1 yrs,gary=3 yrs=>after 6 after: brother =7 yrs gary=9 years

2nd case:......

3rd case:.....

4th case:brother:4 years gary:12 yrs=>after 6 yrs:brother=10 yrs gary=18 yrs=>18-10=8

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Use the distributive property to write an equivalent expression.<br> 3(8-9)

yulyashka [42]

The solution to this is 3(8)-3(9).

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2 years ago

X + 2y + 5z = -17<br> 2x – 3y + 2z = -16<br> 3x + y - z = 3

Tatiana [17]

Answer:

first one : x=−2y−5z−17

2nd one: x= 3 /2 y−z−8

3rd one: x= −1 /3 y+ 1 /3 z+1

Step-by-step explanation:

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3 years ago

40% of the memberships sold by Gym A were gold memberships.

Aneli [31]

Answer:

a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.

Step-by-step explanation:

Here is the complete question: 40% of the memberships sold by Gym A were gold memberships. 25% of the memberships sold by Gym B were gold memberships.

Which statement must be true?

a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.

b) If both gyms sold the same number of memberships, Gym A sold 15 more gold membership.

c) Gym A sold more gold membership than Gym A did.

d) If Gym B sold 50 membership, 25 would be gold memberships.

Given: Gym A have sold 40% gold membership of total membership.

Gym B have sold 25% gold membership of total membership.

Lets take option A first to find if it is true statement.

As per option A, There are total number of membership is 80.

∵ Gym A has sold 40% gold membership.

∴ Gym A gold membership= $40\% \times 80$

⇒ Gym A gold membership= $\frac{40}{100} \times 80= 32 member.$

∴ Gym A gold membership= 32.

Now, Gym B

∵ Gym B has sold 25% gold membership.

∴ Gym B gold membership= $25\% \times 80$

⇒ Gym B gold membership= $\frac{25}{100} \times 80=20 member.$

∴ Gym B gold membership= 20.

Next finding difference gold membership for Gym A and Gym B

$32-20= 12 \ membership$

Hence, we can say option A is correct as Gym A have sold 12 more gold membership, if total number of membership sold by both Gym is 80.

8 0

2 years ago

32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.32)$