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Jet001 [13]
2 years ago
9

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Mathematics
1 answer:
Aleks04 [339]2 years ago
7 0
The line is parallel to y = 6/7 x - 5

The slope will be same .So equation of the line will be of the form:

y = \frac{6}{7} x + k \\

It passes through C(1,5)

5 = \frac{6}{7} \times 1 + k \\ \\5 = \frac{6}{7} + k \\ \\ k = 5 - \frac{6}{7} \\ \\ k = \frac{7 \times 5 - 6}{7} = \frac{29}{7}

line : \red{y = \frac{6}{7} x + \frac{29}{7} } \\
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What is an explicit equation?
artcher [175]
An explicit equation is an equation used to find a term in a sequence without using the any previous terms. For example, if I have the set of numbers 1, 3, 5, 7, 9, my explicit equation is F(n)=2(n-1)+1. If I plug 1 in for n, I get F(1)= 2(0)+1, which is 1, my first term.

Hope this made sense.
4 0
3 years ago
Does anyone know about this I will give brainliest for the correct answer I really need help
Mandarinka [93]

Answer:

32

Step-by-step explanation:

y

8 0
3 years ago
Read 2 more answers
Sky bought $22.50 worth of paint supplies at a store that sells brushes for $1.50 each and tubes of paint for $2.50 each. Let b
expeople1 [14]

Answer:

b = 10 , t = 3

Step-by-step explanation:

6 0
2 years ago
What is a31 of the<br> arithmetic sequence for<br> which a5 = 12.4 and<br> ag = : 22.4?
MrMuchimi

The value of a₃₁ of the arithmetic sequence exists 77.4.

<h3>How to find the value of a₃₁ of the arithmetic sequence?</h3>

Given: a₅ = 12.4 and a₉ = : 22.4

For the arithmetic sequence a₁, a₂, a₃, ..., the n-th term exists

where d = common difference

a₅ = 12.4,

a₁ + 4d = 12.4 .........(1)

Because a₉ = 22.4,

a₁ + 8d = 22.4 .........(2)

Subtract (1) from (2), we get

a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4

4d = 10

Dividing throughout by 4, we get

d = 2.5

From (1), we get

a₁ = 12.4 - 4 * 2.5 = 2.4

a₃₁ = 2.4 + 30 * 2.5 = 77.4

Therefore, the correct answer is a₃₁ = 77.4

To learn more about the arithmetic sequence refer to; brainly.com/question/6561461

#SPJ9

8 0
1 year ago
Wires manufactured for use in a computer system are specified to have resistances between .12 and .14 ohms. The actual measured
White raven [17]

Answer: a) 0.9544996

b) 0.9999366

Step-by-step explanation:

Given : The actual measured resistances of wires produced by company A have a normal probability distribution with mean \mu=0.13 ohm and standard deviation s=0.005 ohm.

Wires manufactured for use in a computer system are specified to have resistances between .12 and .14 ohms.

Let x be the random variable that represents the value of resistance in wires.

Using formula for z-score , z=\dfrac{x-\mu}{s}

The z-value at x= 0.12 will be

z=\dfrac{0.12-0.13}{0.005}=-2

The z-value at x= 0.14 will be

z=\dfrac{0.14-0.13}{0.005}=2

The p-value : P(-2

=0.9772498-(1-P(z

Hence, the probability that a randomly selected wire from company A’s production will meet the specifications = 0.9544996

b) Sample size : n= 4

Using formula for z-score , z=\dfrac{x-\mu}{\dfrac{s}{\sqrt{n}}}

The z-value at x= 0.12 will be

z=\dfrac{0.12-0.13}{\dfrac{.005}{\sqrt{4}}}=-4

The z-value at x= 0.14 will be

z=\dfrac{0.14-0.13}{\dfrac{.005}{\sqrt{4}}}=4

The p-value : P(-4

=0.9999683-(1-P(z

The probability that all four in a randomly selected system will meet the specifications = 0.9999366

3 0
3 years ago
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