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2 years ago

Through: (3,5), slope=5\3

1 answer:

3 0

So slope intercpet form
y=mx+b

m=slope
b=y intercpet

slope=5/3
in (x,y) form

x=3
y=5 is one point

subsitute and solve for b
y=mx+b
5=5/3 times 3+b
5=3/3 times 5+b
5=1 times 5+b
5=5+b
subtract 5 from both sides
0=b

equation is
y=5/3x+0 or
y=5/3x

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John is about to roll a six sided, fair number cube 60

sukhopar [10]

Answer:

No it is not a good prediction. Theoretical probability says that the answer would be 30 of the 60 (30/60) rolls would be even numbers.

Step-by-step explanation:

The probability of rolling an even number on a fair six sided die is 3/6 or 1/2 when simplified.

if john rolls the die 60 times, multiply the theoretical probability (1/2) by the number of rolls

(1 ÷ 2) x 60 = 30

∴ theoretical probability says that john would roll an even number 30 out of the 60 rolls

I hope this was helpful :-)

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2 years ago

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gtnhenbr [62]

Answer: el último

Step-by-step explanation:

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2 years ago

Alex the electrician needs 34 yards of electrical wire to complete his job. He has a coil of wiring in his workshop. The coiled

bogdanovich [222]

Answer: This coil will not be enough to complete the job.

Step-by-step explanation:

The circumference of the coil of wiring can be calculated with:

$C=2\pi r$

Where r is the radius and $\pi=3.14$

The radius can be calculated by dividing the diameter by 2. Then:

$r=\frac{18in}{2}\\\\r=9in$

Convert 9 inches to yards (1 yard=36 inches):

$(9in)(\frac{1yd}{36in})=0.25yd$

Substitute this radius into the formula:

$C=2(3.14)(0.25yd)\\C=1.57yd$

Since there are 21 circles of wire, you need to multiply $C=1.57yd$ by 21:

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The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough to complete the job.

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2 years ago

What is the 20th term of the linear sequence?<br><br>1,7,13,19,25

Nimfa-mama [501]

Answer:

115

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₂₀ = 1 + (19 × 6) = 1 + 114 = 115

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2 years ago