The weight of adult female panthers in one habitat area are normally distributed with a mean of 82 pounds and a standard deviation of 9.8 pounds. What percent of the panthers weigh less than 76 pounds?

Answers

Answer 1

Answer:

27.09% of the panthers weigh less than 76 pounds

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 82 pounds and a standard deviation of 9.8 pounds.

This means that [tex]\mu = 82, \sigma = 9.8[/tex]

What percent of the panthers weigh less than 76 pounds?

The proportion is the pvalue of Z when X = 76. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76 - 82}{9.8}[/tex]

[tex]Z = -0.61[/tex]

[tex]Z = -0.61[/tex] has a pvalue of 0.2709

0.2709*100% = 27.09%

27.09% of the panthers weigh less than 76 pounds


Related Questions

Someone helllppppppppppoppppoop

Answers

Answer:

The answer is 2..............

there are 15 peices of fruit in a bowl and 6 of them are apples what percentage of the peices of fruit are apples​

Answers

Answer:

40%

Step-by-step explanation:

6/15 = 0.4

0.4x100 = 40%

what is the measure if two supplementary angles has a ratio of 3:7. fund the measure if both angles ​

Answers

Answer:

The two angles are 54 degrees and 126 degrees.

Step-by-step explanation:

Let the two angles be 3x and 7x. Supplementary angles add up to 180 degrees.

A pilot is flying at 10,000 feet and wants to take the plane up to 20,000 feet over the next 50 miles. What should be his angle of elevation to the nearest tenth? (Hint: There are 5280 feet in a mile.)

Options
2.2 degrees
10.7 degrees
87.8 degrees
89.7 degrees

Answers

Answer:

[tex] \boxed{ \tt{2.2 \: degrees}}[/tex]

45 degrees and 6 find each variable
Will mark brainliest

Answers

Answer:

[tex]x = y = 3\sqrt{ 2[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x and y

The given triangle has 45 degrees as one of its angles, and it is also a right angle triangle.

For this kind of parameter, the opposite = the adjacent

i.e. x = y

Apply Pythagoras theorem

[tex]x^2 + y^2= 6^2[/tex]

Substitute x for y

[tex]y^2 + y^2= 6^2[/tex]

[tex]2y^2= 36[/tex]

Divide by 2

[tex]y^2 = 18[/tex]

Take square root

[tex]y = \sqrt{18[/tex]

[tex]y = \sqrt{9 * 2[/tex]

Split

[tex]y = \sqrt{9} *\sqrt{ 2[/tex]

[tex]y = 3*\sqrt{ 2[/tex]

[tex]y = 3\sqrt{ 2[/tex]

[tex]x = y = 3\sqrt{ 2[/tex]

Corresponding Angles are congruent.
Which angle corresponds with 47?
H
«[?]
4748
45/46

Answers

Answer:

Angle 1 is corresponding angle with Angle 7.

Hope this will help you.

Answer:

Angle 1

Step-by-step explanation:

When two parallel  lines are crossed by traversal  line, the angles in matching corners are called corresponding angles

Angle 7 and angle 1  are corresponding

The time it takes to charge the battery of a cell phone is directly proportional to the charge of the battery.
The equation, y = 0.21x, is used to approximate the time it takes to charge the battery of a cell phone.
Cell Phone Battery Charge
100
70
60
Bettery Charge (%)
SON
40
BO
20
NON
Time (AM)
Approximate how long it will take the battery to charge to 100%.
4 hours
7 hours
6 hours
5 hours
Please help me

Answers

12.1+0.21x=100.23
That is the answer

The equation c = 8n models the total cost, c, for n movie
tickets.

a. Graph the relationship modeled by the equation. Be
sure to label the axes.

b. How does the graph show the cost per ticket? How is
this cost related to the equation?

Answers

Answer:

8 would be A and b would be 4

An Olympic swimmer competes in the same events during each long course swim season. A swimmer currently
competing on the United States Women's Olympic Swim Team, will swim her best events each year with the hope of
continuous Improvement. The following table is a record of the swimmer's best times for the 100 meter freestyle event,
measured In long course meters.
Long Course Recorded
Season Best Time
2005 2:33.42
2006
2:24.81
2007
2:10.93
2008
2:03.45
2009
1:58.67
2010
1:59.17
1:55.06
2011
2012
1:55.82
2013
1:54.81
2014
2:00.03
1. Create a scatter plot representing the data displayed in the table.
2. Use the scatter plot to determine whether there is positive, negative or no correlation between the data values.
3. Write a conclusion statement regarding the data and the rate of change present in the line of best fit. Do not actually
calculate the slope or write the equation for the line of best fit.

Please help me
Will give brainly
Just give me the answer to 2 and 3
I already have 1
I just need 2 and 3
Please and thank you
Please answer this

Answers

Answer: Equation for the line of best fit is given by f(x)=-4.28402x+0.0875

Step-by-step explanation: like what you just put in your picture

Long Course Season Recorded Best time

2005 2:33.42

2006 2:24.81

2007 2:10.93

2008 2:03.45

2009 1:58.67

2010 1:59.17

2011 1:55.06

2012 1:55.82

2013 1:54.81

2014 2:00.03

-Since we can see from the scatter plot that it has negative correlation.

Equation for the line of best fit is given by f(x)=-4.28402x+0.0875

- This is what I can give you I see some people do this work before and when I see it I just take note and I think it was the answer...

- Hope this help :)

Name this net pattern.

Answers

Answer:

triangular pyramid

Step-by-step explanation:

Tom bought 5 hot dogs and paid 1.79 for each then Tom bought 4 salads for 4.01 each with 3 10 bills what was the change from the purchase/

Answers

I get $5.01 as change

If 5 men can do a piece of work in 20 days, in how many days could 10 men
do the same work?

Answers

Answer:

10

Step-by-step explanation:

(U can do mental calculation and guess it will be 10 ..) or else ....

Constant(k) = xy

k= 5 x 20  

k= 100

Constant(k) = xy

100 = xy  

100 = 10y  

y= 100/10 = 10  

= 10

I hope im right!!

Find y if the line through (5, 2) and (7, y) has a slope of 4.

Y=___

Answers

Answer:

5

Step-by-step explanation:

Jessie started a record collection with 8 records. Each week he added 3 records to his collection. Riley started her record collection with 23 records. Each week she gave away 2 records.

a) Write an equation to represent the number of records in Jessie's collection based on the number of weeks he has been collecting records.

Answers

3 per week + blank=8              Step-by-step explanation: brainly plz

The Mean Corporation would like to invest in the booming health food industry. It is considering the creation of a health-drink franchise called Goose Juice. The investment department of the Mean Corporation wants to investigate the feasibility of this venture by examining the profits of similar franchises. It believes that the venture will be feasible if an average annual profit of more than $85,000 can be expected from each Goose Juice that is opened. It is known that the annual profits earned by health-drink franchises has a population standard deviation of $8,700.

The Mean Corporation's statisticians would like to construct a hypothesis test for the population mean annual profit earned by health-drink franchises. A random sample of 50 franchises was chosen and their annual profit for the previous financial year was recorded. The mean annual profit for the sample was calculated as $82,441.

The hypotheses that were used by the statisticians were

Null hypothesis: population mean = 81,000, Alternative hypothesis: population mean > 81,000 and the test statistic was found to be 1.29 (to 2 decimal places).

Required:
Calculate the p-value for this test, giving your answer as a decimal to 4 decimal places.

Answers

Answer:

The p-value is approximately 0.9015  

Step-by-step explanation:

The statistic parameters are;

The population mean, μ₀ = $85,000

The population standard deviation, σ = $8,700

The size of the sample, n = 50

The sample mean annual profit, [tex]\bar x[/tex] = $82,441

The null hypothesis, H₀: μ = 81,000

The alternative hypothesis, Hₐ: μ > 81,000

Given that n > 30, a z-test is used

The test statistic ≈ 1.29

Therefore, we have;

[tex]z=\dfrac{\bar{x}-\mu_0 }{\dfrac{\sigma }{\sqrt{n}}} = 1.29[/tex]

From the z-score, the p value for a test statistic of 1.29 = 0.90147 which is 0.9015 after rounding up to 4 decimal places

find the measure of angle a.

Answers

Answer:

<A=50

Step-by-step explanation:

85+x+55+x+50=180

2x+190=180

2x=180-190

2x=-10

x=-5

A=x+55

A=-5+55

A=50

A< 50 because i said so

Ms. Reiger’s students found a total of 16 bird feathers. The line plot shows the lengths, in inches, of the bird feathers found by the students
Look at the line plot, and then select the two correct statements about the bird feathers.
The difference between the lengths of the shortest feather and the longest feather is 318 inches.
A. The difference between the lengths of the shortest feather and the longest feather is 238 inches.
B. The combined length of the two longest feathers is 828 inches.
C. The combined length of the shortest feather and the longest feather is 738 inches.
D. The combined length of the shortest feather and the longest feather is 618 inches.

Answers

Answer:

i need the picture to answer the question, sorry. but if you give me the picture im happy to answer it

Step-by-step explanation:

Pleaseee if you know this can you please answer I’m struggling really bad

Answers

Answer:

[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{3}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{1}[/tex] ║ [tex]L_{3}[/tex]

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y = mx + b

"m" is slope

"b" is y-intercept (coordinates are (0, b)

Parallel lines have the same slopes and different y-intercepts.

Slopes of perpendicular lines are opposite reciprocals: [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1

~~~~~~~~~~~~~~~~~~~~~~

[tex]L_{1}[/tex] :  y = x + 5 , [tex]m_{L_{1} }[/tex] = 1 , b = 5

[tex]L_{2}[/tex] : y = - x + 7 , [tex]m_{L_{2} }[/tex] = - 1 , b = 7

[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex]

[tex]L_{3}[/tex] : [tex]m_{L_{3} }[/tex] = 1 , b = - 2

[tex]L_{1}[/tex] ║ [tex]L_{3}[/tex] and [tex]L_{2}[/tex] ⊥ [tex]L_{3}[/tex]  

Like the land bridge people, what factors might have pulled the Solutreans into North America?

overpopulation


job opportunities

better schools



grasses and animals

Answers

Answer:

mayne because of grasses and animals

Answer:

D

Step-by-step explanation:

Tara has a large box of treats that weighs 9.0 pounds. She uses the large box of dog treats to make smaller bags, each containing 0.6 pound of treats. How many smaller bags of dog treats can Tara make?

Answers

Answer:

Step-by-step explanation:

So, she has a box of treats that weighs 9.0 pounds.

She's using those treats to make smaller bags, each having 0.6 pounds of treats.

How many smaller bags can she make?

Evaluate: x + (x2 - xy) - y
if x = 5 and y = 4

Answers

the answer to this is -9

When x = 5 and y = 4, the expression [tex]x + (x^2 - xy) - y[/tex]  evaluates to 6.

To evaluate the expression [tex]x + (x^2 - xy) - y[/tex] when x = 5 and y = 4, we substitute the given values into the expression and perform the

calculations:

[tex]x + (x^2 - xy) - y\\x= 5 + (5^2 - 5*4) - 4\\x= 5 + (25 - 20) - 4\\x= 5 + 5 - 4\\x= 10 - 4\\x= 6\\[/tex]

It's crucial to remember that the expression in question is not an equation that represents a graph, nevertheless. It is merely an algebraic expression that, given the values of "x" and "y," evaluates to a single value. We need an equation that connects 'x' and 'y' and specifies the relationship between them if we are to construct a graph.

Therefore, when x = 5 and y = 4, the expression [tex]x + (x^2 - xy) - y[/tex] evaluates to 6.

To know more about expression:

https://brainly.com/question/34132400

#SPJ2

Correct Question is:

Evaluate:  [tex]x + (x^2 - xy) - y[/tex] if x = 5 and y = 4.

please answer the question in the pic below :))

Answers

D hope this helps

Step-by-step explanation:

Please help! question is in the picture!

Answers

9514 1404 393

Answer:

  (5, 1) or maybe (h, k)

Step-by-step explanation:

The given form has no letters other than the variable. The vertex in this vertex-form equation can be read from the expression as (5, 1).

In the generic vertex form ...

  f(x) = a(x -h)² +k

the letters (h, k) are used to represent the vertex.

__

You would need to consult your curriculum materials to see what letters your author uses for the vertex in vertex form.

Determine the roots of the following function of the quadratic formula:
x^2-5x-4=0

Answers

Answer:

4,1

Step-by-step explanation:

(x-4)(x-1)

x=4 or x=1

The answer is 4,1
-------------------------11

2³(3÷4+x)+12=2 iuybki[ojiouhnkluibkjb

Answers

Answer:

what?

Step-by-step explanation:

hansnskekkwkwnw

Answer:

X=-2

Step-by-step explanation:

1. Open up the brackets

You then get

6+8x+12=2

2. Send the whole numbers to the other sides

8x= 2-6-12

8x = - 16

3. Divide both sides by 8 to leave x alone

X=-2

PLEASEEEE HELP!!!!!!!!!!!!

Answers

Answer: 4188790 cm^3

Step-by-step explanation:

To find Radius of sphere S we multiply 1/5 by 500.

1/5 x 500 = 100

We now have the radius of sphere S. Now we use the formula for a sphere and we get our answer.

4/3 \pi 100^2 = 4188790.205

A business school is conducting a study to investigate whether a students’ scores on a placement test can be used to predict students’ starting salaries. Based on a random sample of 200 graduates of the business school, a 98 percent confidence interval for the slope of the linear regression line relating placement scores and starting salary is calculated to be (315,336). Assume the conditions for inference are met.

Which of the following is a correct interpretation of the confidence interval?

a. There is a 98 percent probability that the slope of the population regression line is between $315 per point and $336 per point.
b. Ninety-eight percent of the time, a 10-point increase in placement score will result in an average increase between $3,150 and $3,360 in starting salary.
c. We are 98 percent confident that a 10-point increase in placement score will result in a predicted increase in starting salary of between $3,150 and $3,360.
d. We are 98 percent confident that predicted starting salaries will be between $315,000 and $336,000.
e. We are 98 percent confident that the regression equation can be used to make accurate predictions for placement scores between 315 and 336.

Answers

Answer:

The answer is C

Step-by-step explanation:

I did it on college board

For which value of ø is sin ø= -1?
A. Pi/2
B. Pi
C. 3x/2
D. 2x

Answers

C. 3pi/2

Hope this helps

Determine if the following statements are true or false. If true give a reason or cite a theorem and if false, give a counter example.

a. If {a _n} is bounded, then it converges.
b. If {a _n} is not bounded, then it diverges.
c. If {a _n} diverges, then it is not bounded

Give an example of divergent sequences {a _n} and {b _n} such that {a _n + b _n} converges

Answers

Answer:

a. False the series [tex]\sum\limits_{i=1}^\infty (-1)^n[/tex]is bounded but does not converge

b. False, xₙ = n + (-1)ⁿ⁻¹(n - 1) does not diverge to infinity but it is not bounded for n ≥ 1

c. False some bounded sequences are divergent

An example of divergent sequences, aₙ, and bₙ, such that aₙ + bₙ converges is [tex]a_n = \sum\limits_{n} \dfrac{1}{n} , \, b_n = \sum\limits_{n} \dfrac{-1}{n}[/tex]

[tex]\sum\limits_{n} \dfrac{1}{n} + \sum\limits_{n} \dfrac{-1}{n}[/tex] is convergent

Step-by-step explanation:

solve this question in this question you have to solve 46 + 49 -24 ​

Answers

Answer:

71

Step-by-step explanation:

46 + 49 = 95

95 - 24 = 71

71 is correct but don’t forget to do pemdas so you won’t get them wrong
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