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Fynjy0 [20]
3 years ago
13

Use the normal distribution of fish lengths for which the mean is 9 inches and the standard deviation is 2 inches. Assume the va

riable x is normally distributed. (A) What percent of the fish are longer than 14 ​inches? (B) If 300 fish are randomly​ selected, about how many would you expect to be shorter than 8 ​inches?
Mathematics
1 answer:
podryga [215]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that fish length X is having the normal distribution  for which the mean is 9 inches and the standard deviation is 2 inches.

X : N(9,2)

A) P(X

B) Here sample size = 300

P(X

Out of 300 fish we can expect 300(0.3085) to be shorter

i.e. 92.55=93 fish

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Balance after 6 months would be  900*(900+2%). You just need to evaluate it then you will get the answer. btw 2% comes from 4% because it's half of the year.
3 0
3 years ago
What is the slope of the line that passes through the points (-10, -8) and
RoseWind [281]

Answer:

Equation: y = -4x + 32

Slope: -4

Step-by-step explanation:

Given : (-10,-8) and (-8, -16)

Slope Formula:   \frac{y_1 - y_2}{x_1-x_2}

Solve For Slope,  Input Given Points:

  • \frac{-8 - (-16)}{-10 - (-8)}
  • \frac{8}{-2}
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Solve for y-intercept:

Input the slope into the equation y = mx + b. Plugin x and y values for the x and y variables to find b.

  • y = -4x + b
  • -8 = -10(4) + b
  • -8 = -40 + b
  • b = 32

Equation of LIne: y = -4x + 32

-Chetan K

5 0
2 years ago
Read 2 more answers
Can someone please help me with this. will give brainliest. :)​
ivanzaharov [21]

Answer:

I am pretty sure the answer is A

4 0
2 years ago
Find the missing side . round the the nearest tenth
lys-0071 [83]

S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}

Sin=\frac{Opposite}{Hypotenuse} Cos=\frac{Adjacent}{Hypotenuse} Tan=\frac{Opposite}{Adjacent}

7) You have the opposite. You need the adjacent.

Tan=\frac{Opposite}{Adjacent}

Tan57=\frac{12}{x}

x=\frac{12}{Tan57}

x = 7.79289... =

<h2>7.8</h2><h2 />

8) You have the hypotenuse. You need the Opposite.

Sin=\frac{x}{Hypotenuse}

Sin37=\frac{x}{13}

x = sin37 × 13

x = 7.8235... =

<h2>7.8</h2><h2 />

9) You have the hypotenuse. You need the opposite.

Sin=\frac{x}{Hypotenuse}

Sin59=\frac{x}{11}

x = sin59 × 11

x = 9.4288.... =

<h2>9.4</h2><h2 />

10) You have the hypotenuse. You need the opposite.

Sin=\frac{x}{Hypotenuse}

Sin53=\frac{x}{11}

x = sin53 × 11

x = 8.7459.... =

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7 0
2 years ago
A cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7. What amount of this mixture contains 9 kilograms of Alm
Mice21 [21]

The total cereal mixture is 45 kilograms

<em><u>Solution:</u></em>

Given that, cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7

Therefore,

Almond : Wheat : Corn = 3 : 5 : 7

Let the almond present be 3x

Let the wheat present be 5x

Let the corn present be 7x

Therefore,

Total cereal mixture = 3x + 5x + 7x

Total cereal mixture = 15x

<em><u>Given that mixture contains 9 kg of almond</u></em>

Almond = 9

We know that,

Almond present = 3x

3x = 9

x = 3

Therefore,

Total cereal mixture = 15x = 15(3) = 45

Thus total cereal mixture is 45 kilograms

3 0
3 years ago
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