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Bingel [31]
2 years ago
11

Given that

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
8 0

Step-by-step explanation:

R = 3x + 9y

When y = 6 and R = 7

7 = 3x + 9.6

7 = 3x + 54

7 - 54 = 3x

-47 = 3x

x = -47/3

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Suppose $600 is compounded yearly for 20 years. If no other deposits are made, what rate is needed for the balance to triple in
denis-greek [22]

Answer:

5.65%

Step-by-step explanation:

Principal=$600

Time=20 years

FV=600*3=$1800

n=1

r=?

r= n[(A/P)^1/nt - 1]

=1{(1800/600)^ 1/1*20 - 1}

={(3)^1/20-1}

=3^0.05-1

=1.0565-1

=0.0565

rate=0.0565*100

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3 years ago
A gardener makes a new circular flower bed. The bed is twelve feet in diameter. Calculate the circumference and the area of the
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3 years ago
An English professor assigns letter grades on a test according to the following scheme. A: Top 5% of scores B: Scores below the
tangare [24]

Answer:

Grade D score:

69 \leq x \leq 74

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 78.8

Standard Deviation, σ = 7.1

We are given that the distribution of scores on test is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

D: Scores below the top 77% and above the bottom 9%

We have to find the value of x such that the probability is 0.77

P( X > x) = P( z > \displaystyle\frac{x - 78.8}{7.1})=0.77  

= 1 -P( z \leq \displaystyle\frac{x - 78.8}{7.1})=0.77  

=P( z \leq \displaystyle\frac{x - 78.8}{7.1})=0.23  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 78.8}{7.1} =-0.739\\\\x = 73.55  

We have to find the value of x such that the probability is 0.09

P(X < 0.09) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 78.8}{7.1})=0.09

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 78.8}{7.1} = -1.341\\\\x = 69.27  

Thus, the numerical value of score to achieve grade D is

69 \leq x \leq 74

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3 years ago
Can someon tell me which one it is
podryga [215]

The correct answer is second one

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