What is the value of x in the matrix equation below? -2 1 2 3

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

Find the 60th term of the arithmetic sequence −29,−49,−69,...

Mariulka [41]

Answer:

-1209

Step-by-step explanation:

Your sequence has first term a1 = -29 and common difference d = -20. Using these in the formula for the n-th term, we can find the 60 term.

an = a1 +d(n -1)

an = -29 -20(d -1)

a60 = -29 -20(60 -1) = -1209

4 0

4 years ago

The Venn diagram shows the number of employees who ranked skills important for their careers in the field. C

Contact [7]

Answer:

47

Step-by-step explanation:

In the picture attached, the Venn diagram is shown.

We can see in the picture that the intersection between C and M (symbolized by C∩M) is made by two regions, one with 22 employees and another one with 25 employees, then 22+25 = 47 satisfy C∩M

6 0

3 years ago

Please hurry this is timed and I only have 20 mins left!!!

Nadusha1986 [10]

Answer:

x = 6 2/3 The supplementary pair of angle is 78 degree and z = 112degree = 180 degree First step is where we can also see z its opposite angle is vertical opposite angle to 112 degree given and label as vertical angle - where we see a line through the 180 degree line at any angle we can call the pair supplementary- Pairs OR sets of angles an only be called consecutive when they are grouped with a set of parallel line across a straight line and it is only because they add up to 180 they could be either terms so as there isn't parallel shown ; we know we an call a pair of angles upon a straight line supplementary.angles.

Step-by-step explanation:

6 x +38 (+112) = 180 degree as angles on a straight line add up to 180 6 x +38 (+112) = 180 6 x +140 = 180 6 x + 140- 140 = 180-140 6 x = 40 x = 40/6 x = 6.66666667 x = 6 2/3 Proof (6( 6 2/3)) + 38 + 112 = 180 = (40+38)+112 = 180 = 78 +112 = 180 Proves the supplementary angle is 78 degree.