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gavmur [86]
2 years ago
10

Marine scientists have previously measured the weight of a wide-ranging fish to be 9.0 lbs with a standard deviation of 0.35 lbs

. A sample is taken off the Atlantic and has an average weight of 8.2 lbs. Explain how to conclude if the sample is unrepresentative of the population.
Mathematics
1 answer:
fenix001 [56]2 years ago
8 0
Given:
Actual: 9.0 lbs with standard deviation of 0.35 lbs
sample: 8.2 lbs

standard deviation means that the fish caught should be within the range of  8.65 and 9.35

9.00 + 0.35 = 9.35 lbs
9.00 - 0.35 = 8.65 lbs

The sample that had an average weight of 8.2 lbs is not a representative of the population because its weight goes beyond the standard deviation. 
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Brenda is rolling a six-sided die and flipping a coin. Complete each of the following sentences regarding the probabilities invo
sveta [45]
So for number there are 6 possible outcomes nad 5 is one of them so 1/6
He next one there are 2 outcomes and heads is 1 outcome so 1/2
For the next one you have to multiply them together so you get 1/12
And the events are independent because whatever you roll on the die won’t affect the coin(it actually does on a very small scale but I don’t think you go into that much detail for high school maths)
8 0
2 years ago
If on a scale drawing 15 feet are represented by 10 inches then a scale of 1/10 inch represents how many feet
GenaCL600 [577]

A scale of \frac{1}{10} inches will represent \frac{3}{20} feet.

Step-by-step explanation:

According to scale drawing;

15 feet = 10 inches

1 inch = \frac{15}{10}=\frac{3}{2}\ feet

A scale of \frac{1}{10} inch will represent;

Multiplying both sides by

\frac{1}{10}*1=\frac{3}{2}*\frac{1}{10}\\\\\frac{1}{10}\ inches = \frac{3}{20}\ feet

A scale of \frac{1}{10} inches will represent \frac{3}{20} feet.

Keywords: fraction, multiplication

Learn more about fractions at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

3 0
2 years ago
Alan has to pay Robin $48, but he has only $36 with him. Alan overdraws the remaining amount from the bank to pay Robin. After p
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I assume his account balance will become negative. With no overdraft fees in the question, then his account balance should be $-12. 
6 0
2 years ago
Read 2 more answers
The square of a number decreased by 3 times the number 28 find all possible values for the number
stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number  

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

a^2 - 3a = 28

a^2 - 3a - 28 = 0

Let us solve the above quadratic equation

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28

\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}

Thus the possible values of number are 7 and -4

5 0
2 years ago
What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
skelet666 [1.2K]

Answer:  f(x) = (x + 3)(x – 7)

Step-by-step explanation:  Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)

f(x) = a(x-h)² + k   from vertex, h is 2   y is -25   from intercept,  x is 7  f(x) is 0

to find a,  0 = a(7-2)² +(-25)   0 = a(7-2)² -25  add 25 to both sides

25 = a(5)²  25 = 25a  25/25 = a  1=a  (seems useless but verifies implied "a"coefficient is 1)

f(x) = a(x-h)² + k solve to get the quadratic form

f(x) = (x-2)² -25     (x - 2)² is x² -4x +4

f(x) = x² -4x +4 -25  simplify

f(x) = x² -4x - 21   then factor

f(x) = (x + 3)(x - 7)

8 0
2 years ago
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