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cestrela7 [59]
3 years ago
7

1. The sum of four consecutive whole numbers is 110. What is the sum of the least and the greatest of the four numbers?

Mathematics
1 answer:
Trava [24]3 years ago
3 0

Answer:

55

Step-by-step explanation:

the four number is 26+27+28+29

so 26+29=55

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I hope this is the answer :)
45.67=r

6 0
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Put in simplest form 8/15 × 5/6
algol13
8/15 x 5/6
•multiply across the numerator and denominator.

= 40/90
• then find a common factor that will go into both the numerator and denominator equally.

Common factor: 5

= 8/18
•there is another common factor, which is 2

Simplified:

=4/9
6 0
3 years ago
Help with question 9 I don't get it
Alik [6]
I think that x may equal to -3. Because the sum of a triangle is always 180. 55+54=109 and 180-109=71 and -3+74=71
5 0
3 years ago
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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 55 bat
aleksley [76]

The probability of accepting this shipment is 98%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Almost all such shipments will be accepted because the probability of having a sample with more than 3 defective batteries is very low.

The shipment will be accepted if at most 3 batteries don't meet specifications.

This can be modeled as a binomial distribution, where the sample size is n=55 and the probability of not meeting the specifications of any battery is p=0.02.

The shipment will be accepted if D ≤ 3.

The probability of this event is:

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P(D=X) = n!/(x!(n-x)!) pˣ(1-p)ⁿ⁻ˣ

P(D=0) = 55!/(0!(55-0)!) 0.02⁰(1-0.02)⁵⁵⁻⁰ = 1× 1 × 0.32 = 0.32

P(D=1) = 55!/(1!(55-1)!) 0.02¹(1-0.02)⁵⁴ = 54 × 0.02 × 0.33= 0.35

P(D=2) = 55!/(2!(55-2)!) 0.02²(1-0.02)⁵³ = 55 ×27 × 0.0004 × 0.34= 0.20

P(D=3) = 55!/(3!(55-3)!) 0.02³(1-0.02)⁵² = 25740× 0.0000008 × 0.35= 0.07

Then,

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P( D ≤ 3) = 0.32 + 0.35 + 0.20 + 0.07

P( D ≤ 3) = 0.98

Hence, the probability of accepting this shipment is 98%.

To learn more about the probability from the given link

brainly.com/question/24756209

#SPJ1

4 0
1 year ago
HELP PLZ!!! I'M GIVING 15 POINTS FOR IT!!!!!!
Sati [7]

Answer:

a. True

b. False

c. True

d. False

Step-by-step explanation:

a. True

Where, there are three straight lines intersecting one another, and whereby the sum of the interior angles formed between one of the straight lines and the other two is less than 180°, then the other two straight lines will cross if extended further on the same side of the figure where  the sum of the intersecting angles between the lines was found to be less than 180°.

The converse statements is that

If three lines are drawn with two of the lines converging, then the third line can be drawn such that the sum of the interior angles between it and the other two lines is less than 180°

The contrapositive statements is that

If the sum of the interior angles between a first line and the other two lines is equal to 180° then the other two lines will not meet

b. False.

The answer is false is false because,

The length of the sides of the square must be equal

The interior angles of the square must also be equal

c. True

From Postulate 1, the sum of two adjacent angles on one side of the two intersecting lines is equal to 180°. So also on the other side of the intersection, the sum of the adjacent angles is equal to 180.

Therefore, we have

180° + 180° = 360°

The converse statements is that

If two lines meet at a point then the sum of angles at the point is 360°

The contrapositive statements is that

If the two lines do not meet, then the sum of angles on each line is 180°

d. False

A parallel line can be drawn from any point not on the line.

8 0
3 years ago
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