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3 years ago

The first four terms of a sequence are shown on the graph below

Mathematics

1 answer:

Deffense [45]3 years ago

7 0

Answer: The slope is 3

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What is the proof for this?

Butoxors [25]

Knowing nexnjhdjhdhfgnu. Hngj

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3 years ago

Which shows all the like terms in the expression? ( 4 x minus 3 + 7 x + 1 ) Help Asap will give brainliest. : )

Anestetic [448]

Step-by-step explanation:

4x - 3 + 7x + 1

Solving like terms

11x - 2

6 0

4 years ago

Read 2 more answers

Find the value of each variable.

insens350 [35]

Step-by-step explanation:

11)

x= 5

${y}^{2} = 2 \times {5}^{2} \\ {y}^{2} = 50 \\ y = 5 \sqrt{2}$

12)

$\tan(30 ) = \frac{9}{y} \\ y = \frac{9}{ \tan(30) } = 9 \sqrt{3} \\ {x}^{2} = {9}^{2} + {(9 \sqrt{3} )}^{2} \\ {x}^{2} = 324 \\ x = 18$

13)

$\sin(60) = \frac{x}{22} \\ x = 11 \sqrt{3} \\ \cos(60) = \frac{y}{22} \\ y = 11$

14)

${16}^{2} = {x}^{2} + {y}^{2} \\ x = y \\ {16}^{2} = 2 {x}^{2} \\ x = 8 \sqrt{2} \\ y = 8 \sqrt{2}$

15)

$\tan(30) = \frac{x}{42} \\ x = 14 \sqrt{3} \\ \cos(30) = \frac{42}{y} \\ y = \frac{42}{ \cos(30) } \\ y = 28 \sqrt{3}$

16)

${(19 \sqrt{2}) }^{2} = {x}^{2} + {y}^{2} \\ x = y \\ 722 = 2 {x}^{2} \\ {x}^{2} = 361 \\ x = 19 \\ y = 19$

4 0

3 years ago

Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects per unit. find the probabil

mario62 [17]

Answer: Probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.

Step-by-step explanation:

Since we have given that

Mean rate defects per unit = 0.3

Since we will use "Poisson distribution":

$P(X=K)=\frac{e^{-\lambda}\lambda^k}{k!}$

But we need to find the probability that a randomly selected unit will contain at least two surface-finish defect.

$P(X\geq 2)=1+P(X=0)+P(X=1)$

So,

$P(X=0)=\frac{e^{-0.3}0.3^0}{0!}=e^{-0.3}=0.74\\\\P(X=1)=\frac{e^{-0.3}\times 0.3}{1}=0.22$

so, it becomes,

$P(X>2)=1-(0.74+0.22)=1-0.96=0.04$

Hence, probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.

4 0

4 years ago

Which fraction is equivalent to 0.16

777dan777 [17]

Answer:

$\frac{4}{25}$

Step-by-step explanation:

Decimal Fraction Percentage

0.16 $\frac{4}{25}$ 16%

Think of it like this, by definition, decimals are already fractions, with their denominators being powers of 10.

0.16 = $\frac{16}{100\\}$ ← there are 2 decimal places → 2 zeros

In simplest form,

$\frac{16/4}{100/4}$ = $\frac{4}{25}$

So, we get our answer to be; $\frac{4}{25}$ .

5 0

3 years ago

Read 2 more answers