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3 years ago

what is 1 4/6 + 1 4/6 + 15/6 + 2 + 2 + 2 + 2 + 2 1/6 + 2 2/6 + 2 2/6 + 2 3/6 + 2 4/6 + 2 5/6 + 2 5/6 + 2 5/6 + 3 + 3 ?

Mathematics

2 answers:

Darya [45]3 years ago

7 0

Answer:

40.3333333333 repeating

Step-by-step explanation:

Karo-lina-s [1.5K]3 years ago

3 0

40.3 repeating that’s the anwser

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The heights of a certain population of corn plants follow a normal distribution with mean 145 cm and stan- dard deviation 22 cm

Firdavs [7]

Answer with explanation:

Given : The heights of a certain population of corn plants follow a normal distribution with mean $\mu=145\ cm$ and standard deviation $\sigma=22\ cm$

a) Using formula $z=\dfrac{x-\mu}{\sigma}$ , the z-value corresponds to x= 135 will be

$z=\dfrac{135-145}{22}\approx-0.45$

At x= 155, $z=\dfrac{155-145}{22}\approx0.45$

The probability that plants are between 135 and 155 cm tall :-

$P(-0.45$

Hence, 34.73% of the plants are between 135 and 155 cm tall.

b) Sample size : n= 16

Using formula $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$ , the z-value corresponds to x= 135 will be

$z=\dfrac{135-145}{22}{\sqrt{16}}\approx-1.82$

At x= 155, $z=\dfrac{155-145}{22}{\sqrt{16}}\approx1.82$

The probability that plants are between 135 and 155 cm tall :-

$P(-1.82$

Hence,The percentage of the samples would the sample mean height be between 135 and 155 cm.= 93.12%

4 0

3 years ago

The map shows the beach area on a coordinate plane.

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

3 0

3 years ago

Greatest Value Emer your answer then press "S 5 + 7.6

Mars2501 [29]

Answer:

5s+7.6 is already simplified

Step-by-step explanation:

Hope I answered your question correctly:)

8 0

3 years ago

Find the sum of the first five terms using the geometric series formula for the sequence left curly bracket 1 half comma space m

MatroZZZ [7]

Answer:

$\bold{\dfrac{11}{2 }}$

Step-by-step explanation:

Given the geometric series:

$\{\dfrac{1}2, -1, 2, -4, ..... \}$

To find:

Sum of series upto 5 terms using the geometric series formula = ?

Solution:

Formula for sum of a n terms of a geometric series is given as:

$S_n=\dfrac{a(1-r^n)}{1-r} \ \{r$

$a$ is the first term of the geometric series

$r$ is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).

Here:

$a = \dfrac{1}{2}$

$r = \dfrac{-1}{\dfrac{1}{2}} = -2$

$n=5$

So, applying the formula for given values:

$S_5=\dfrac{\dfrac{1}2(1-(-2)^5)}{1-(-2)} \\\Rightarrow S_5=\dfrac{1-(-32)}{2 \times 3} \\\Rightarrow S_5=\dfrac{1+32}{6} \\\Rightarrow S_5=\dfrac{33}{6} \\\Rightarrow \bold{S_5=\dfrac{11}{2}}$