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Alex Ar [27]
3 years ago
8

The quotient of two times a number x and 5 is 12. Write in an algebraic expression

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

\frac{2x}{5}=12

Quotient means divide and is means equal

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Maria finds a local gym that advertises 44 training sessions for $1393. Find the cost of 136 training sessions.
fiasKO [112]

Answer:

$4305.60

Step-by-step explanation:

1393 divided by 44 = 31.6590909

that's how much for one training session

so to find the pay for 136 sessions you need to do 31.6590909 x 136

which is 4305.63636

if you round that, you get $4305.60

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What is the sum of the first 5 terms of this geometric series? Use . -4 + 12 + (-36) + ⋯
yKpoI14uk [10]

Answer:

The sum of the first 5 terms is -244

Step-by-step explanation:

To calculate the sum of the geometric series, we need the first term, the common ratio and the number of terms we would like to sum.

The first term here is -4

The common ratio is T2/T1 or T3/T2 = 12/-4 = -3

number of terms n = 5

The formula to use is;

Sn = a(1-r^n)/(1-r)

Plugging these values, we have;

Sn = -4(1-(-3)^5)/(1-(-3))

Sn = -4(1+243)/4 = -1(244) = -244

7 0
3 years ago
The random variable X has a uniform distribution with values between 16 and 24. What is the mean and standard deviation of X
N76 [4]

Answer:

Mean = 20

SD = 2.31

Step-by-step explanation:

Given

a = 16

b = 24

Solving (a): The mean

The mean of a uniform distribution is:

Mean = \frac{1}{2}(a + b)

This gives:

Mean = \frac{1}{2}(16 + 24)

Mean = \frac{1}{2}(40)

Mean = 20

Solving (b): The standard deviation

The standard deviation is:

SD = \sqrt{\frac{(b - a)^2}{12}}

This gives:

SD = \sqrt{\frac{(24 - 16)^2}{12}}

SD = \sqrt{\frac{(8)^2}{12}}

SD = \sqrt{\frac{64}{12}}

SD = \sqrt{5.333}

SD = 2.31

6 0
3 years ago
6. Laura has $322 in her checking account. She bought a pair of jeans for $32. Then, she
zhenek [66]

Answer:

243

Step-by-step explanation:

7 0
3 years ago
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