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2 years ago

Please select the best answer from the choices provided

Mathematics

2 answers:

Furkat [3]2 years ago

8 0

1:c
2:d hope this helps

Lana71 [14]2 years ago

5 0

<h3><u>Answer:</u></h3>

Hence, the value of z is:

<h3><u>Step-by-step explanation:</u></h3>

The point C is the mid point of the line segment VW.

That is it divides the line segment VW into two equal segments.

i.e. Length of segment VC= Length of line segment CW.

Also we are given that:

Length VW=61

Length VC=z+13

and Length CW=z+8

This means that:

VC+CW=VW

i.e. z+13+z+8=61

⇒ 2z+21=61

⇒ 2z=61-21

⇒ 2z=40

⇒ z=20

Hence the value of z is:

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malfutka [58]

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2 years ago

11 to the 8th power divided by 11 to the 3rd power

borishaifa [10]

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2 years ago

Read 2 more answers

A dog buried 18 bones in his backyard. On Monday, he dug up 1/2 of his bones. On Tuesday, he dug up another 1/3 of his bones. Ho

Korolek [52]

Answer:

Step-by-step explanation:

A dog buried 18 bones

On Monday he dug up 1/2 of the bones

On Tuesday he dug up 1/3 of the bones

= 1/2 × 18

= 9

= 1/3×18

= 6

Therefore the remaining bones still buried in the ground can be calculated as follows

= 9+6

= 15

= 18-15

= 3

Hence 3 bones are still buried in the ground

5 0

2 years ago

the ratio of pine trees to elm trees in a park is 7:11. How many pine trees are there in the park if there are 68 more elm trees

Hitman42 [59]

Answer:

<em>The number of </em><em>pine tree is 119</em><em> and the number of </em><em>elm tree is 187.</em>

Step-by-step explanation:

The ratio of pine trees to elm trees in a park is 7:11

Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.

It is also given that, there are 68 more elm trees as compared to the pine trees.

i.e $11x=7x+68$

$\Rightarrow 11x-7x=68$

$\Rightarrow 4x=68$

$\Rightarrow x=17$

Hence, the number of pine tree = $7x=7\times 17=119$ and the number of elm tree = $11x=11\times 17=187$

8 0

2 years ago

Q4.

goblinko [34]

The coding of the statistic is used to make it easier to work with the large sunshine data set

The mean of the sunshine is 3.05 $\overline 6$

The standard deviation is approximately <u>18.184</u>

<u />

Reason:

The given parameters are;

The sample size, n = 3.

∑x = 947

Sample corrected sum of squares, Sₓₓ = 33,065.37

The mean and standard deviation = Required

Solution:

$Mean, \ \overline x = \dfrac{\sum x_i}{n}$

The mean of the daily total sunshine is therefore;

$Mean, \ \overline x = \dfrac{947}{30} \approx 31.5 \overline 6$

$s = \dfrac{x}{10 } - \dfrac{1}{10}$

$E(s) = \dfrac{Ex}{10 } - \dfrac{1}{10}$

$E(s) = \dfrac{31.5 \overline 6}{10 } - \dfrac{1}{10} = 3.05 \overline 6$

The mean ≈ 3.05 $\overline 6$

Alternatively

, $The \ mean \ of \ the \ daily \ total \ sunshine, \, s = \dfrac{31.5 \overline 6 - 1}{10 } = 3.05\overline 6$

The mean of the daily total sunshine, $\overline s$ ≈3.05 $\overline 6$

$Var(s) = Var \left(\dfrac{x}{10 } - \dfrac{1}{10} \right)$

$Var(s) = \left(\dfrac{1}{10}\right)^2 \times Var \left(x \right)$

Therefore;

$Var(s) = \left(\dfrac{1}{10}\right)^2 \times 33,065.37 = 330,6537$

Therefore;

$s = \sqrt{330.6537} \approx 18.184$

The standard deviation, $s_s$ ≈ <u>18.184</u>

Learn more about coding of statistic data here:

brainly.com/question/14837870

3 0

1 year ago