Increase £60 by 10%?

Answers

Answer 1

Answer: 10% of 60 is 6. So, 60 + 6 (10%) = 66

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A shipment of marbles with a mean diameter of 27 mm and a standard deviation of 0.15 mm is normally distributed. By how many standard deviations does a marble with a diameter of 26.85 mm differ from the mean?

Answers

This could be solved by calculating the z-score. Itsdefinition is the number of standard deviations from the mean a data point is.The formula is,

Z =║Data point – Mean║ / Std. dev.

Z = ║26.85 mm – 27 mm║ / 0.15

Z = 1

Answer:

The answer would be 1

Step-by-step explanation:

The nth term of a series is represented by an=2^n/5^n+1 ⋅n . George correctly applies the ratio test to determine whether the series converges or diverges. Which statement reflects George's conclusion? From the ratio test, r = 0.4. The series diverges.

From the ratio test, r = 0.4. The series converges.

From the ratio test, r = 4. The series converges.

From the ratio test, r = 4. The series diverges.

Answers

Answer: From the ratio test, r = 0.4. The series converges.

The given term is: $a_(n)=(2^(n))/(5^(\left(n+1\right)))\cdot n$

So the next term is = $a_(n+1)=(2^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot\left(n+1\right)$

The ratio test is :

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=lim_(n\to\infty)\left|(2^(\left(n+1\right)))/(2^(n))\cdot(5^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot(\left(n+1\right))/(n)\right|$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=lim_(n\to\infty)\left|2\cdot(1)/(5)\cdot(\left(n+1\right))/(n)\right|$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=(2)/(5)lim_(n\to\infty)\left|1+(1)/(n)\right|$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=(2)/(5)\left(1+0\right)$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=0.4$

Since 0.4 < 1 so the series converges.

Learn more: brainly.com/question/1214333

Answer: Choice B) r = 0.4; series converges

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Explanation:

Check out the attached image below to see the steps on how I computed r.

The value you should get is r = 0.4

Since r is less than 1, the series converges.

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Extra info:

If r > 1, then the series would diverge.

If r = 1, then the series may diverge, conditionally converge, or absolutely converge. Another test would be needed if you get r = 1.

How many pairs of parallel lines does a triangle have

Answers

Base on the question, the possible pairs of parallel lines that the triangle has, is none. Its because the said polygon has only 3 sides that are impossible to have a pair of parallel lines. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification about the question

the Kelly family bought a new pet rabbit. They want to build an enclosure outside so it has lots of room to roam. They have 30 feet of leftover lumber to use. Find the length and width of the enclosure if the length is to be 4fteet longer than twice the width.

Answers

assume that since this is a simple math problem and they only mentioned legnth and witdth,
assume a perfect rectangle

so assuming they use all the lumber
30=perimiter
perimiter=legnth around=legnth+legnth+with+width

30=2legnth+2width
undistribute
30=2(legnth+width)
divide by 2
15=legnth+width
legnth is 4 more than 2width
legnth=4+2width
subsitute
15=legnth+width
15=4+2width+width
subtract 4
11=2width+width
divide by 3
11/3=width

legnth=4+2width
legnth=4+2 times (11/3)
lefnth=4+22/3
4=12/3
legnth=12/3+22/3
legnth=34/3 feet=11 and 1/3 foot

width=11/3=3 and 2/3

legnth=11 and 1/3 foot
width=3 and 2/3 foot

What is 11918 as a mixed number in simplest form?

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