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Andrews [41]
2 years ago
6

1

Mathematics
2 answers:
posledela2 years ago
8 0

Answer:

A is your correct answer .

Romashka [77]2 years ago
8 0

1. A + B =

This is right answer

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Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma
Lubov Fominskaja [6]

Answer:

The probability that a randomly chosen tree is greater than 140 inches is 0.0228.

Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with \mu = 112 inches and \sigma = 14 inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - \mu = 112 inches

Standard deviation - \sigma = 14 inches

The z-score formula is given by, Z=\frac{x-\mu}{\sigma}

Now,

P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})

P(X>140)=P(Z>\frac{140-112}{14})

P(X>140)=P(Z>\frac{28}{14})

P(X>140)=P(Z>2)

P(X>140)=1-P(Z

The Z-score value we get is from the Z-table,

P(X>140)=1-0.9772

P(X>140)=0.0228

Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.

5 0
3 years ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the
SashulF [63]

Answer:

There were 440 Standard version of songs downloaded in Web music store.

Step-by-step explanation:

Given,

Total number of songs downloaded = 1310

Total size of the downloaded songs = 4752 MB

Size of standard version of song = 2.1 MB

Size of high quality version of song = 4.4 MB

Solution,

Let the number of standard version  of song be 'x'.

And also let the number of high quality version of song be 'y'.

Now, total number of songs is the sum of total number of standard version  of song and total number of high quality version of song.

On framing the above sentence in equation form, we get;

x+y=1310\ \ \ \ \ equation\ 1

Now, Total size of the downloaded songs is the sum of total number of standard version of song multiplied with size of standard version  of song and total number of high quality version of song multiplied with size of high quality version of song.

On framing the above sentence in equation form, we get;

2.1x+4.4y=4752

Multiplying with 10 on both side, we get;

10(2.1x+4.4y)=4752\times10\\\\21x+44y=47520\ \ \ \ equation\ 2

Now multiplying equation 1 by 21, we get;

21(x+y)=1310\times21`\\\\21x+21y=27510\ \ \ \ equation\ 3

Now subtract equation 3 from equation 2, we get;

(21x+44y)-(21x+21y)=47520-27510\\\\21x+44y-21x-21y=20010\\\\23y=20010\\\\y=\frac{20010}{23}\\\\y=870

On substituting the value of y in equation 1, we get the value of x;

x+y=1310\\\\x+870=1310\\\\x=1310-870=440

Hence There were 440 Standard version of songs downloaded in Web music store.

7 0
3 years ago
Find the domain of the following piece wise function
anastassius [24]

Answer:

<h2>[-4, 6)</h2>

Step-by-step explanation:

f(x)=\left\{\begin{array}{ccc}x+4&if&-4\leq x

8 0
3 years ago
Oscar is 16 years old and his sister Julia is 12 hears old. What will be the ratio of Oscar's age to Julia's age in 2 years?
Ivan
The ratio will be 18:14.

4 0
3 years ago
Read 2 more answers
Theresa bought a new desktop computer. One side of the desktop screen is 14 inches and the
vazorg [7]

Answer:

23 inches

Step-by-step explanation:

assuming that the desktop screen is a rectangle, then it's diagonal will form two right triangles.

by the Pythagorean theorem

{a}^{2}  +  {b}^{2}  =  {c}^{2}  \\  a = 14 \: and \: b = 18 \\ c  = the \: hypoteneuse

then

{14}^{2}  +  {18}^{2}  =  {c}^{2}  \\ 196 + 324 =  {c}^{2}  \\ 520 =  {c}^{2}  \\  \sqrt{ {c}^{2} }  =  \sqrt{520}  \\ c   \: \: is \: a pprox. \:  \: 22.8 in \\ c \:  \: rounded \: is \: 23in

8 0
3 years ago
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