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Arte-miy333 [17]
2 years ago
5

Given: 4d=1/3(c-d) Proof= c=13d

Mathematics
1 answer:
ikadub [295]2 years ago
4 0

Answer:

c = 13d

Step-by-step explanation:

Given:

4d=1/3(c-d)

Open bracket

4d = 1/3c - 1/3d

Add 1/3d to both sides

4d + 1/3d = 1/3c

Simply 4d + 1/3d

12d+d/3 = 1/3c

13/3d = 1/3c

Make c the subject of the formula

c = 13/3d ÷ 1/3

c = 13/3d × 3/1

c = 13d

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What is the value of y in the following system y= 3x-5 6x+3y=15
Misha Larkins [42]
X=2. You use substitution to put the y=3x-5 into 6x+3y=15.
So you get 6x+3(3x-5)=15
=6x+9x-15=15
add 15 on both sides to get the x's alone and add the x's together.
6+9=15 -- 15+15=30
15x=30
30/15 =2
x=2
7 0
2 years ago
Read 2 more answers
-3 \cdot f(-8) + 7 \cdot g(2) =−3⋅f(−8)+7⋅g(2)=minus, 3, dot, f, left parenthesis, minus, 8, right parenthesis, plus, 7, dot, g,
dsp73

Answer:

-22

Step-by-step explanation:

The graph from which the information is to be read is attached below.

We want to find the value of −3⋅f(−8)+7⋅g(2).

From the graph:

  • f(-8)=-2
  • g(2)=-4

Therefore:

−3⋅f(−8)+7⋅g(2)=−3(-2)+7(-4)

=6-28

=-22

−3⋅f(−8)+7⋅g(2)=-22

3 0
2 years ago
At a high school, the probability that a student is a senior is 0.25. The probability that a student plays a sport is 0.15. The
Serggg [28]

Use the definition of conditional probability:

P(\text{sports}\mid\text{senior})=\dfrac{P(\text{sports AND senior})}{P(\text{senior})}

We know that 0.10 of students belong to both categories, and that 0.25 of students are seniors, so

P(\text{sports}\mid\text{senior})=\dfrac{0.10}{0.25}=0.40

5 0
2 years ago
Jackie took out a $9,000 personal loan with a 4.5% interest rate that she will pay back in 3 years. She will make monthly paymen
gayaneshka [121]

Answer:

Total cost of repayment is $10,852.92

Step-by-step explanation:

Firstly, we need to calculate the interest attached to this loan repayment

To calculate this, we use the formula for simple interest

Mathematically,

I = \frac{PRT}{100}

where P is the amount borrowed which is $9,000

R is the rate which is 4.5%

T is the time which is 3 years

Plugging these values, we have

I = (9000×4.5×3)/100 = $1,215

Now we were also told in the question that she will make a monthly repayment of $267.72

Now the number of months in 3 years is 36 months. Total monthly repayment = 267.72 × 36 = $9637.92

Adding the interest amount, we have 9637.92 + 1215 = $10,852.92

7 0
2 years ago
A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co
Firlakuza [10]

Answer:

Step-by-step explanation:

1) The z value was determined using a normal distribution table. From the normal distribution table, the corresponding z value for a 94% confidence interval is 1.88

The correct option is D

2) if 70% of all internet users experience e-mail fraud. It means that probability of success, p

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n = number of selected users = 50

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x = number of internet users

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z = (x - u)/s

We want to determine the probability that no more than 25 were victims of e-mail fraud. It is expressed as

P(x lesser than or equal to 25)

The z value will be

z = (25- 35)/3.24 = - 10/3.24 = -3.09

Looking at the normal distribution table, the corresponding z score is 0.001

P(x lesser than or equal to 25) = 0.001

7 0
2 years ago
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