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3 years ago

To describe a specific arithmetic sequence, Elijah wrote the recursive formula:

Mathematics

1 answer:

Rufina [12.5K]3 years ago

7 0

Answer:

Y(n) = 7n + 23

Step-by-step explanation:

Given:

f(0) = 30

f(n+1) = f(n) + 7

For n=0 : f(1) = f(0) + 7

For n=1 : f(2) = f(1) + 7

For n=2 : f(3) = f(2) + 7 and so on.

Hence the sequence is an arithmetic progression with common difference 7 and first term 30.

We have to find a general equation representing the terms of the sequence.

General term of an arithmetic progression is:

T(n) = a + (n-1)d

Here a = 30 and d = 7

Y(n) = 30 + 7(n-1) = 7n + 23

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A product test is designed in such a way that for a defective product to be undiscovered, all four inspections would have to fai

Marina86 [1]

Answer:

d. 99.9%

Step-by-step explanation:

The probability of not catching a defect for each inspection is 100% minus the probability of catching a defect. The probability that a defect is not caught in all four inspections is the product of each inspection's individual probability:

$P(D) = (1-0.9)*(1-0.8)*(1-0.12)*(1-0.95)\\P(D) = 0.0008$

The probability of catching a defect is given by:

$P(C) = 1 - P(D)\\P(C) = 1 - 0.0008\\P(C) = 0.9992 = 99.9\%$

There is a 99.9% probability of catching a defect.

5 0

3 years ago

Joanne bought 5 candy bars for $3.50. How much is each candy bar? pls help !!

andrey2020 [161]

Answer:

70 cents

Step-by-step explanation:

all you have to do is divide $3.50 and 5 :)

3 0

3 years ago

Read 2 more answers

Pat was in a fishing competition at lake Pisces. She caught some bass and some trout. Each bass weighed 3 pounds. Each trout wei

erastova [34]

Answer:

$9\ bass$ and $3\ trout$

Step-by-step explanation:

Let

x-----> the number of bass

y----> the number of trout

we know that

$3x+y=30$ ----> equation A

$5x-y=42$ ----> equation B

Adds equation A and equation B

$3x+y=30\\5x-y=42\\--------\\3x+5x=30+42\\8x=72\\x=9\ bass$

Find the value of y

$3(9)+y=30$

$y=30-27=3\ trout$

7 0

3 years ago

Janelle subtracts -4 from a number. The result is -2. What is the number?0

kicyunya [14]

Answer:

-6

Step-by-step explanation:

? - (-4) = -2

? + 4 = -2

-6 + 4 = -2

Your Answer will be -6

Hope that helps!

5 0

3 years ago

Read 2 more answers

Altitudes $\overline{ax}$ and $\overline{by}$ of acute triangle $abc$ intersect at $h$. if $\angle ahb = 132^\circ$, then what i

Sergio [31]

Answer: 48 degrees

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See the attached image for a visual of the problem and answer.

Based on the diagram, we have angle AHB = 132 degrees (given) equal in measure to angle XHY since these two angles are vertical angles.

Angles HYC and HXC are right angles due to the nature of AX and BY being altitudes. Recall that altitudes are segments that go from one vertex to the opposite side and they are perpendicular to the opposite side.

Focus on quadrilateral HXCY. So far, we know that...
Angle XHY = 132 degrees
Angle HYC = 90 degrees
Angle HXC = 90 degrees

The angle we want to find is angle ACB, which is the same as angle YCX. This angle is the missing angle of the quadrilateral HXCY.

For any quadrilateral, the four angles must add to 360 degrees.

(angle XHY) + (angle HYC) + (angle HXC) + (angle YCX) = 360
(132) + (90) + (90) + (angle YCX) = 360
312 + (angle YCX) = 360
312 + (angle YCX) - 312 = 360 - 312
angle YCX = 48 degrees

Since angle ACB is the same as angle YCX, we can say
angle ACB = angle YCX = 48 degrees

So in summary,
angle ACB = 48 degrees

4 0

4 years ago