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Anvisha [2.4K]
2 years ago
13

String a is 35 centimeters long. String b is five times as long as string a. Both are necessary to create a decorative bottle. F

ind the total length of string needed for 17 identical decorative bottle. Express your answer in meters.
Mathematics
1 answer:
gayaneshka [121]2 years ago
6 0

Answer:

35.7 m.

Step-by-step explanation:

To find the length of string b, you have to multiply 35 by 5. You get 175, and so when it asks how much total string you need for each bottle you must add 175 and 35, which gets you 210. Then, to find how much you need in total for 17 bottles  you need to multiply 210 by 17. This gets you 3570 cm, which you can convert to 35.7m.


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ra1l [238]

If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.

Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.

This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%

5 0
1 year ago
If Angle 6 is congruent to angle 10 and Angle 5 is congruent to angle 7, which describes all the lines that must be parallel? Li
Nina [5.8K]

Answer:

Third option: Lines "r" and "s" and lines "t" and "u" must be parallel.

Step-by-step explanation:

The missing figure is attached.

You need to remember that:

1- A Transversal is defined as a line that intersects two or more lines.

2- When a transversal cut two parallel lines, several angles are formed, which are grouped in pairs. Some of them are:

a. Vertical angles: are those pairs of angles that share the same vertex and are opposite to each other. These angles are congruent.

b. Corresponding angles: are those  pairs of non-adjacent angles located on the same side of the transversal and outside the parallel lines. They are congruent.

In this case, you can identify in the figure that:

 \angle 6 and \angle 10 are Corresponding angles.

\angle5 and \angle 7 are Vertical angles.

Therefore, based on the explained before, you can conclude that lines "r" and "s" and lines "t" and "u", must be parallel.

7 0
1 year ago
Read 2 more answers
Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order b
Firdavs [7]

Answer:

Ordering a soft drink is independent of ordering a square pizza.

Step-by-step explanation:

20% more customers order a soft drink than pizza, therefore they cannot be intertwined.

Given: P(A)=0.5 & P(B)=.7

P(A∩B) =  P(A) × P(B)

=  0.5 × .7

=  0.35

P(A∪B) =  P(A) + P(B) - P(A∩B)

=  0.5 + .7 - 0.35

=  0.85

P(AΔB) =  P(A) + P(B) - 2P(A∩B)

=  0.5 + .7 - 2×0.35

=  0.5

P(A') =  1 - P(A)

=  1 - 0.5

=  0.5

P(B') =  1 - P(B)

=  1 - .7

=  0.3

P((A∪B)') =  1 - P(A∪B)

=  1 - 0.85

=  0.15

7 0
1 year ago
Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balanc
ASHA 777 [7]
For the answer to the question above asking <span>how many years was his money invested? The for the answer above is simple, it is I = Prt
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the answer is 15 years.
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7 0
1 year ago
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Which data sets have outliers? Check all that apply.
Alex Ar [27]

Answer:

(B), (D) and (E)

Step-by-step explanation:

An outlier is an observation which is quite different or very far from the rest of the given values of the data set.

(A) The given data set is:

14, 21, 24, 25, 27, 32, 35

Since, in the given data set, the values ranges from 14 to 35 in which no outlier is present, thus this data set does not contain any outlier.

thus, this option is incorrect.

(B) The given data set is:

15, 30, 35, 41, 44, 50, 78

In this data set, 78 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.

(C) The given data set is:

16, 32, 38, 39, 41, 42, 58

In the given data set, there is no outlier present, thus this option is incorrect.

(D) The given data set is:

17, 23, 28, 31, 39, 45, 75

In this data set, 75 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.

(E) The given data set is:

18, 30, 34, 38, 43, 45, 68

In this data set, 68 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.

7 0
2 years ago
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