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allsm [11]
3 years ago
7

AB = x + 8

Mathematics
1 answer:
vivado [14]3 years ago
3 0

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

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18. A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45, what is the 99% confidenc
Agata [3.3K]

Given:

Sample mean = 65.4

Standard deviation = 1.2

Sample size = 45

Confidence level = 99%

To find:

The confidence interval.

Solution:

The formula for confidence interval is

CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}

where, \overline{x} is sample mean, z* is confidence value, s is standard deviation and n is sample size.

Confidence value or z-value at 99% = 2.58

Putting the given in the above formula, we get

CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}

CI=65.4\pm 0.46

CI=65.4-0.46\text{ and }CI=65.4+0.46

CI=64.94\text{ and }65.86

Therefore, the correct option is D.

5 0
2 years ago
Assume a population of 46, 51, 53​, and 59. Assume that samples of size nequals=2 are randomly selected with replacement from th
Katarina [22]

Answer:

Step-by-step explanation:

There are four values 46, 51, 53, 59

we have to draw 2 sampler with replacement

sampler     median     samler     median

46.46              46          53.46         49.5

46.51               48.5        53.51          52

45..53              49.5        53.53         53

46.59               52.5        53.59         56

51.46                 48.5        59.46        52.5

51.51                   51           59.51           55

51.53                   52          59.53          56

51.59                   55          59.59          59

sampling distribution of the median

median                   probability

46                               1/16

48.5                             2/16      

49.5                             2/16  

52.5                             2/16    

51                                  1/16

52                                2/16

55                                 2/16

53                                  1/16

56                                  2/16

59                                   1/16    

6 0
3 years ago
U=10y/3x<br><br>Solve for x​
SSSSS [86.1K]

Answer:

x=(3u)/(10y)

Step-by-step explanation:

4 0
2 years ago
Help ASAP due in 6 mins
vova2212 [387]

Answer:

the answer is confusing but you have to put it in as an equation and get and answer then you simplify that answer into a number sequence by rounding and estimating

Step-by-step explanation:

7 0
3 years ago
Help me pleasee<br> Questions r in picture
jok3333 [9.3K]
<h2>Answer:</h2>

\large \bf\implies\frac{12}{61}

<h2>Step-by-step explanation:</h2>

<h2>Given :</h2>

\tt \frac{8}{101} , \frac{9}{91} , \frac{10}{81} , \frac{11}{71} ...

<h2>To Find :</h2>

  • nth term

<h2>Solution :</h2>

We have to add 1 in numerator and -10 in denominator because

\tt \frac{8}{101} , \frac{9}{91} , \frac{10}{81} , \frac{11}{71} ...[Given]

\frac{8  \: + \:  1}{101 \:  - \:  10}  =  \frac{9}{91} \\\\  \frac{9 + 1}{91 - 10}  =  \frac{10}{81}  \\ \\ \frac{10 + 1}{81 - 10}  =  \frac{11}{71}  \\ \\ \frac{11 + 1}{71 - 10}  =  \frac{12}{61} ...

The difference is 1 in numerator so we add 1 and the difference is -10 in denominator so we subtract -10.

4 0
2 years ago
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