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Ksenya-84 [330]
3 years ago
12

The weights of adult polar bears, the largest bear species in North America, have a mean of 950 pounds and standard

Mathematics
1 answer:
Setler79 [48]3 years ago
5 0

The weight of 824 pounds of a polar bear has a z-score of -1.50.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation

Given that μ = 950, σ = 84

For z = -1.50:

-1.50=\frac{x-950}{84}\\\\x-950=-126\\\\x=824

The weight of 824 pounds of a polar bear has a z-score of -1.50.

Find out more on z score at: brainly.com/question/25638875

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Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [
Darya [45]

Answer:

<em>A=3 and B=6</em>

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9

Computing the first derivative:

f' ( x ) = - 6 x^3 + 54 x - 108

We find the critical points equating f'(x) to zero

- 6 x^3 + 54 x - 108=0

Simplifying by -6

x^2 -9 x +18=0

We get the critical points

x=3,\ x=6

They define the following intervals

(-\infty,3),\ (3,6),\ (6,+\infty)

Thus A=3 and B=6

3 0
3 years ago
Why there must be at least two lines on any given plane
Elanso [62]
Part of tue reason is to balance the plane so you arent flying sideways.. :D not many happy people on a sideways plane ;) I am an idiot haha oh welp go ahead and delete it haha
3 0
3 years ago
Read 2 more answers
Katniss divided x^3+2x^2-3x-4 by x+1. she didnt get a remainder. do you agree with her?
Brilliant_brown [7]

ANSWER

Katnis is right

EXPLANATION

We use the Remainder Theorem to check if she is right.

According to the Remainder Theorem, if the polynomial function,

p(x) =  {x}^{3}  + 2 {x}^{2}  - 3x - 4

is divided by x+1, then the remainder is given by

p( - 1)

We substitute x=-1 into the function to obtain,

p( - 1) =  {( - 1)}^{3}  + 2 { ( - 1)}^{2}  - 3( - 1) - 4

We simplify to get:

p( - 1) =  -  1+ 2 (1)   + 3 - 4

p( - 1) = 4- 4

p( - 1) = 0

Katnis is right because the remainder is zero

3 0
3 years ago
Laura retired from her job recently, and she has saved about $396,460.00 over the course of her career. She plans to withdraw $1
Tomtit [17]
So she has 396460
she will withdarw 1700 per month, and withdraw is loss or minus or (-)

after x months, she has 359060 left so

total-withdrawn=remaining
withdrawwn=1700 times months so withdrawn=1700x
total-1700x=remaining
total=396460
reaining=359060
subsitute
isolate x then divide is the strategy

396460-1700x=359060
add 1700x to both sides
396460=359060+1700x
subtract 359060 from both sides
37400=1700x
divide both sides by 1700
22=x

she has been retired for 22 months
7 0
3 years ago
Read 2 more answers
Nasim is making hot sauce. She puts in chile peppers and tomatoes in a ratio of 1 to 3. If she puts in 9 tomatoes, how many chil
igomit [66]

Answer: 3

Step-by-step explanation:

Nasim is making hot sauce. Nasim puts in chile peppers and tomatoes in a ratio of 1 to 3.

Assuming Nasim puts in 9 tomatoes, the number of chile peppers should she put will be:

Ratio of chile peepers to tomato= 1;3

Since she put 9 tomatoes, chile peppers= (1×9)/3 = 9/3 = 3.

For 1 chile peeper, there'll be 3 tomatoes.

For 3 chile pepper, thee will be 9 tomatoes.

7 0
4 years ago
Read 2 more answers
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