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Liula [17]
2 years ago
13

18

Mathematics
1 answer:
jonny [76]2 years ago
6 0

Answer:

280°

Step-by-step explanation:

There are 360° in a circle. you are given an arc that is 80°.

To find the arc JKI, subtract 80 from 360.

360 - 80 = 280°

You might be interested in
Dividing integers
telo118 [61]

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.</em>

here,

7. (-154) ➗ (-14) =11

11. (-40) ➗10=-4

15. 90 ➗ (-15)=-6

16. 108 ➗ (-9)=-12

17. (-48) ➗ (-6)=8

18. (-105) ➗ 7=-15

hope it helps you..........

8 0
3 years ago
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.5 years, and standard deviation of
Alina [70]

Answer:

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 5.5, \sigma = 1.2, n = 24, s = \frac{1.2}{\sqrt{24}} = 0.2449

If 24 items are picked at random, 8% of the time their mean life will be less than how many years?

This is the value of X when Z has a pvalue of 0.08. So it is X when Z = -1.405.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-1.405 = \frac{X - 5.5}{0.2449}

X - 5.5 = -1.405*0.2449

X = 5.156

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

3 0
3 years ago
What is the length of the diagonal of the triangle?
Setler79 [48]

Answer:

21.25

Step-by-step explanation:

use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem

the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle

17^2+12.75^2=x^2

x^2=7225/16

now take the square root of both sides and you get -21.25 and 21.25

distance CAN NOT be negative so -21.25 isn't an option

7 0
3 years ago
The beginning balance on the monthly bank statement for ians checking account was $289.37 and the ending balance was $409.28, wh
Vikki [24]
He deposited $119.91
8 0
3 years ago
Read 2 more answers
OPEN-UP... | GRADE
allochka39001 [22]

Answer:

The answer to your question is: 19 l

Step-by-step explanation:

Data

20 quarts to liters

Process

Rule of three

                         1 quart ------------------  0.946 l

                       20 quarts --------------     x

                           x = (20 x 0.946) / 1

                           x = 18.92 l ≈ 19 l

6 0
3 years ago
Read 2 more answers
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