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9966 [12]
3 years ago
5

What is the value of X in these figures?

Mathematics
1 answer:
Anettt [7]3 years ago
4 0
The value of the X must be 74 in. ..
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A bookshelf sits on top of a large desk. Together, their height is 6.75 feet. The difference between their heights is 1.85 feet.
slavikrds [6]

Answer: 4.9

Step-by-step explanation:

8 0
2 years ago
A student records the number of hours that they have studied each of the last 23 days. They compute a sample mean of 2.3 hours a
natita [175]

Answer:

the standard deviation increases

Step-by-step explanation:

Let x₁ , x₂, .   .   .  , x₂₃ be the actual data observed by the student

The sample means  = x₁  +  x₂  +  .   .   .  , x₂₃ / 23

= \frac{x_1 +x_2 +...x_2_3}{23}

= 2.3hr

⇒\sum xi =2.3 \times 23 = 52.9hrs

let x₁ , x₂, .   .   .  , x₂₃  arranged in ascending order

Then x₂₃ was 10  and has been changed to 14

i.e x₂₃ increase to 4

Sample mean  = \frac{x_1 +x_2 +...x_2_3}{23}

\frac{52.9hrs + 4}{23} \\\\= \frac{56.9}{23} \\\\= 2.47

therefore, the new sample mean is 2.47

2) For the old data set

the median is x_1_2(th) values

[\frac{n +1}{2} ]^t^h value

when we use the new data set only x₂₃ is changed to 14

i.e the rest all observation remain unchanged

Hence, sample median = [{x_1_2]^t^h value remain unchange

sample median = 2.5hrs

The Standard deviation of old data set is calculated

=\sqrt{\frac{1}{n-1} \sum (xi - \bar x_{old})^2 } \\\\=\sqrt{\frac{1}{22}\sum ( xi - 2.3)^2 }---(1)

The new sample standard sample deviation is calculated as

= \sqrt{\frac{1}{n-1} \sum (xi-2.47)^2} ---(2)

Now, when we compare (1) and (2)  the square distance between each observation xi and old mean is less than the squared distance between each observation xi and the new mean.

Since,

(xi - 2.3)²  ∑ (xi - 2.47)²

Therefore , the standard deviation increases

6 0
3 years ago
What is (8n^2-26n+20) divided by (n-2)?
Mama L [17]

Answer:

A. 8n-10

Step-by-step explanation:

8n2−26n+20/n−2

=2(4n−5)(n−2)/n−2

=8n−10


7 0
3 years ago
Which congruence theorems can be used to prove EFG congruent to JHG
MatroZZZ [7]

SAS you have two pairs of parallel sides

you have another pair of side congruent to one another

and angle G is the same to itself.

3 0
3 years ago
I need help with 10, 11, 12, 13, 14 & 15.
Verdich [7]

Answer:

10 yes

11 yes

12 no

13 no

14 no

15 no

7 0
3 years ago
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