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katrin [286]
2 years ago
9

The lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard deviation of 4.5 inches. Enter t

he z-score of a trout with a length of 28.2 inches.
Mathematics
2 answers:
Sauron [17]2 years ago
7 0
The answer is -0.4....
scoray [572]2 years ago
5 0

We have been given that the lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard deviation of 4.5 inches.

We are asked to find the z-score of a trout with a length of 28.2 inches.

To find z score of the given length  we will use z score formula.

z=\frac{x- \mu }{\sigma}, where x is the given value of which we want to find out z score, \mu is mean of the given data and \sigma is standard deviation of data.

After substituting our given values in this formula we will get,

z=\frac{28.2-30}{4.5}\\
\\
z=\frac{-1.8}{ 4.5}\\
\\
z=\frac{-2}{5}=-0.4

Therefore, z  score of a trout with a length of 28.2 inches is -0.4.

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Zenaida is shopping and wants to purchase a $320 stereo system. The store is offering an incentive of 10 to 30 percent off when
lesantik [10]

The stereo system costs $256.

Step-by-step explanation:

Given:

Cost of the stereo system = $320.  

The discount Zenaida received = 20%.  

To Find:

Cost of the stereo system after the discount=?

Solution:

Step1:  Finding the discount amount:

Discount percentage =20

Discount amount = original cost × discount percent

Substituting the values,

\text { Discount amount }=320 \times 20 \%

\text { Discount amount }=320 \times \frac{20}{100}

\text { Discount amount }=320 \times \frac{1}{5}

\text { Discount amount }=320 \times 0.2

\text { Discount amount }=64

Step 2: Removing the discounted amount from the original price

Final cost of the stereo system =original cost of the stereo system –discount amount

Substituting the values we get,

Final cost=320-64

Final cost=256

Result:

Thus the cost of the stereo system after discount is $256

7 0
2 years ago
Read 2 more answers
A lake is 200 ft wide.Two boats start to move towards one another from opposite shores.In one minute the first boat goes 40 ft a
ddd [48]

Answer:

After one second, 130 ft

After two second , 60 ft

Step-by-step explanation:

Both boats are moving towards each other,

Speed of first boat = 40 ft/min.

Speed of second boat = 30 ft/min.

So, In one Second they must have covered a total distance of 40 + 30 ft

                                                                                                        = 70 ft.

Total width of the lake = 200 ft

So, Distance remained between them after one second = 200 - 70 = 130 ft.

After two seconds , First boat will move my 80 ft and second one will move by 60 ft

So, distance between them will decrease by 140 ft.

Distance between the boats after two seconds = 60 ft.

7 0
2 years ago
1+4=5, 2+5=12, 3+6=21,8+11=
klemol [59]
The answer is 40 because once you have 21 your just adding 19 and then that makes it 40.
8 0
2 years ago
Please help me with these questions and show how u got them, i will mark you brainliest !
Aneli [31]
A+7
4+7
4+7=11

b-3
5-3
5-3=2

9c
9(10)
9(10)=90
4 0
2 years ago
A student walks 1/4 Mile from her home to the store on her way to a friend's house if the store is 1/3 of the way to a friend's
exis [7]

the store is 1/3 the way to her friend's house, not 1/3 mile.

this explains solution:

1/3x = 1/4

x = 1/4 * 1/3

x = 3/4

Notes:

X: is the total distance.

1/3 is the one portion of total distance.

1/4 mile is the distance store.

3 0
2 years ago
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