Cat behavior: A report stated that the average number of times a cat returns to it's good bowl during the day is 37. Assuming the variable is normally distributed with a standard deviation of 3, what is the probability that a cat would return to it's dish between 34 and 39 times a day. Use the graphing calculator. Round the answer to four decimal places.
P (34<X<39) =?​

Answers

Answer 1

Answer:

P (34<X<39) = 0.5899

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 37, \sigma = 3[/tex]

What is the probability that a cat would return to it's dish between 34 and 39 times a day.

This is the pvalue of Z when X = 39 subtracted by the pvalue of Z when X = 34. So

X = 39

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

[tex]Z = \frac{39 - 37}{3}[/tex]

[tex]Z = 0.67[/tex]

[tex]Z = 0.67[/tex] has a pvalue of 0.7486

X = 34

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

[tex]Z = \frac{34 - 37}{3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.7486 - 0.1587 = 0.5899

So

P (34<X<39) = 0.5899


Related Questions

Find a. brainliest!!

Answers

Answer:

what are you trying to find.How many degrees to z or y

Step-by-step explanation:

You’re trying to figure out how many degrees to Z or Y

Archeologists discover four outer walls of an ancient building, as shown.
If the missing walls are the same lengths as the discovered walls, how many
sides did the original building have? Explain.

Answers

15 sides

It’s the right answer

The number of sides that the original building has will be 15 sides.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The measure of the exterior angle is given as,

Exterior angle = 180° - Interior angle

Exterior angle = 180° - 156°

Exterior angle = 24°

The total number of sides of the polygon will be given as,

Exterior angle = 360° / (Number of sides)

24° = 360° / n

n = 360° / 24°

n = 15

The number of sides that the original building has will be 15 sides.

More about the polygon link is given below.

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The complete question is given below.

1. Su familia va a cenar a un restaurante de estilo sureño. Hay 6 personas en tu familia. Algunos piden la cena de pollo por $ 14 y otros piden la cena de bistec por $ 17. Si la cuenta total fue de $ 99, ¿cuántas personas pidieron cada cena?​

Answers

hola. én gou. hul gh ghî

Holiday dinners at June’s house are always a festive occasion. One particular holiday, June has 16 guests.

June offers the guests apple pie and blueberry pie. While any guest can have slices of both pies, June never serves a particlar guest more than one slice of each pie and each guest is allowed to decline any slice of pie they don’t care for.

June serves a total of 10 slices of apple pie and a total of 11 slices of blueberry pie.

June serves 8 guests slices of both pies.

How many guests had no pie at all?


a. 3

b.2

c.0

Answers

Answer:

a. 3

Step-by-step explanation:

We solve this question gathering the information given in the question.

June serves 8 guests slices of both pies.

This is soon going to be used

June serves a total of 10 slices of apple pie

This includes the 8 guests which got served both pieces. So 10 - 8 = 2 guests were served only apple pie.

11 slices of blueberry pie.

By the same logic as above, 11 - 8 = 3 guests were served only blueberry pie.

So

8 + 2 + 3 = 13 guests were served at least one pie.

16 - 13 = 3 guests had no pie at all.

Please answer quickly !

Answers

Answer:

Probably B

Step-by-step explanation:

It’s b {x: 2 < x < 8}

Triangle PQR is similar to triangle XYZ
Select all angles that have a cosine of 9/15

Answers

Answer:

Step-by-step explanation:

All the angles that have a cosine of 9/15 are,

⇒ ∠P and ∠X

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Triangle PQR is similar to triangle XYZ.

Hence, We get;

In triangle PQR,

cos P = 9/15

And, In triangle XYZ,

cos X = XZ / ZY

cos X = 9 / 15

Thus, All the angles that have a cosine of 9/15 are,

⇒ ∠P and ∠X

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What is the slope of a line that is perpendicular to the line y = 8x + 5?

Answers

Answer . m= -1/8

Step-by-step explanation:

The perpendicular slope is the negative reciprocal. Meaning that the numerator and denominator are switched and the sign of the slope becomes the opposite. (if the slope was -8, then the perpendicular slope would be 1/8)

Pls help I need a good grade

Answers

Answer:

y=4/7x

Step-by-step explanation:

Graph the point (4,7) and (0,0) because x is pint and y is servings

The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.

The area of
of a rectangle is (14x^4 + 7x^2) cm²
and its breadth is 7x^2 cm. Find its length.​

Answers

Answer:

2x^1+1

Step-by-step explanation:

Area=L X W

which means that (14x^4+7x^2) needs to be divided by 7x^2

factorise(14x^4+7x^2) which gives 7x(2x^2+1)

divide 7x(2x^2+1) by 7x^2

gives 2x^2 +1

Answer:

The area of a rectangle is (14x^4 + 7x^2) cm²

and its breadth is 7x^2 cm.

it's length is :---

[tex] = \frac{(14{x}^{4} + 7 {x}^{2})}{7 {x}^{2} } \\ = \frac{7 {x}^{2}(2 {x}^{2} + 1) }{7 {x}^{2} } \\ = (2 {x}^{2} + 1) \: c {m}[/tex]

(2x^2+1) cm is the right answer.

What percentage is 0.00042 ?

Answers

Answer:

0.042%

How much is the decimal number 0.00042 written as (converted to) a percent value? Answer: 0.042%

Step-by-step explanation:

hope it helps please give me a heart

Answer:

0.042%

Step-by-step explanation:

0.00042 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 0.00042 * 100 = 0.042% and then you get your answer!

Add 34+(−212) using the number line. Select the location on the number line to plot the sum.

Answers

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

Which expression has a value greater than 4^3?

Answers

Answer:

(-3)^4

Step-by-step explanation: We just have to evaluate

So, the only expression that exceeds 4^3 is (-3)^4:

what is 1000×80,000 in stuck on this

Answers

Answer:

80,000,000

Step-by-step explanation:

help! please look at the picture, the answer is needed quick the explanation doesn't matter. Thanks!​

Answers

Step-by-step explanation:

49

only the positive 49

hope this helps bro!!

??????????????????FAST HELP PLZ

Answers

Answer:

[tex]y = \frac{2}{3} x - 2 \\ [/tex]

Danny has an unknown number of used cars at his
business. He buys 327 more and figures out he now has a
total of 745. Write an equation to solve this scenario
using "c" for the unknown number of used cars. Then
solve the equation for c.

Answers

Answer:e

Step-by-step explanation:

Answer:

745 - 327= C      C = 418

Step-by-step explanation:

QUESTION 7
Solve for x.
(3x + 32)
(5x-8)
O a. 3
b. 12
O c. 20
O d. 19.5

Answers

Answer:

The answer is x = 20

Step-by-step explanation:

If you set both equations equal to each other and solve for x, you will get 20.

3x+32 = 5x-8        add 8 to both sides

3x+40 = 5x           subtract 3x from both sides

40 = 2x                 divide by 2 on both sides

20 = x

Whoever answers number 1 and 2 gets brainliest!! :)

Answers

Answer:

1: Yes they are both equivalent because 48/8 is 6 and 24/4 is 6.

2: They would score 750 points because you divide 150 by 3 and get 50, then you multiply 50 by 15 and get 750!

Step-by-step explanation:

brainlist the person above me

Given: B bisects EA, FE is parallel to CA, DC is parallel
to GF
Prove: Triangle BGF Triangle BDC
Which method?
E
SSS
SAS
AAS
С
OHL
וד
B
ASA
A
INTL 9:53

Answers

Answer:

Choice 3: AAS

Step-by-step explanation:

We can prove that by AAS that means we need two congruent angles and one congruent side.

The first angle will be the vertical pair <FBG and <DBC.

The second angle will be the alternate interior pair <G and <D.

The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].

Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.


To the nearest whole acre, how many acres were harvested?


453 acres

489 acres

509 acres

553 acres

Answers

Answer:

553 acres

Step-by-step explanation:

94010 ÷ 170 =553

Answer:

D

Step-by-step explanation:

manny has an investment account which compounds interest continuously at a rate of 3.1%. He puts $7500 into the account initially. after 2 years how much money does he have in the account?

Answers

Answer:

$7049 is the answer.

Step-by-step explanation:

Answer: $7980

Step-by-step explanation:

Follow the formula A=Pe^rt

A= 7500(e)^(.031)(2)

A= 7980

Please look at picture

Answers

6x - 7 = 4x + 7
2x = 14
x = 7

The answer is 7

Find the measure of the indicated angle to the nearest degree (whole number).
39
36
15

Answers

Answer:

I think 39

Step-by-step explanation:

Find the product of the
L.C.M and H.C.F of 8 and 12.​

Answers

Answer:

96 is the answer.

Step-by-step explanation:

The L.C.M of 8 and 12 is 24The H.C.F of 8 and 12 is 4

We multiply 24 *4 we shall get 96 as the answer.

Answer:

24*4=96

Step-by-step explanation:

lcm of 8 and 12 is 24

hcf of 8 and 12 is 4

24 times 4 = 96

What is the solution to this inequality?

6x−5>−29


​ x −4 ​

​ x>4

Answers

Answer:

x>4

Step-by-step explanation:

Answer: x>-4

Step-by-step explanation:

1. Add five to both sides [ this will cancel out the five ]

6x - 5 > -29

     +5    +5    

----------------------

6x > -24

2. Divide by six on both sides

6x > -24

----    ------

6         6

WHICH EQUALS

x > -4      

Evaluate 42,147÷63. Round to the nearest whole number, if necessary.
Please help

Answers

Answer: 669

Step-by-step explanation:

A printer prints 24 pages in 3 minutes which unit rate is correct

Answers

Answer:

 8 pages per minute

Step-step explanation:

24 / 3

1. Evaluate when y=3. 3y + 2 (2y+6)
33
27
3y+12

Answers

Answer:

33

Step-by-step explanation:

3(3) + 2 (2(3)+6)

=9 + 2 (12)

=9 + 24

=33

What's equivalent to 2/5?

Answers

Answer: 4/10 , 6/15, 8/20,

Step-by-step explanation:

Answer:  Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/

Step-by-step explanation:

how to graph f(x)=7|x -4|-1

Answers

Answer:

here I drew it digitally Hope it helps

Step-by-step explanation:

The graph of the function is a V-shaped curve.

Given that we need to determine the graph of the function f(x) = 7|x - 4| - 1.

To graph the function f(x) = 7|x - 4| - 1, you can follow these steps:

Start by identifying the key points of the function. In this case, the function involves an absolute value, which means it may change direction at the point inside the absolute value.

Set the expression inside the absolute value equal to zero and solve for x to find this critical point:

|x - 4| = 0

x - 4 = 0

x = 4

So, the critical point is x = 4.

Next, consider the behavior of the function on each side of the critical point.

Choose some values of x less than and greater than 4 and substitute them into the function to determine the corresponding y-values.

Let's choose x = 2:

f(2) = 7|2 - 4| - 1

f(2) = 7|-2| - 1

f(2) = 7(2) - 1

f(2) = 14 - 1

f(2) = 13

Let's choose x = 6:

f(6) = 7|6 - 4| - 1

f(6) = 7|2| - 1

f(6) = 7(2) - 1

f(6) = 14 - 1

f(6) = 13

Therefore, we have the points (2, 13) and (6, 13) on the graph.

Plot the critical point and the points you found on the coordinate plane. Mark them on the x-axis and y-axis.

To graph the absolute value part of the function, draw a V-shaped curve with the vertex at the critical point (4, 0).

The arms of the V-shaped curve will pass through the plotted points (2, 13) and (6, 13).

Extend the arms of the V-shaped curve indefinitely in both directions.

Finally, add the constant term (-1) by shifting the entire graph down by 1 unit. This means that every y-value on the graph should be reduced by 1 unit.

Your completed graph of the function f(x) = 7|x - 4| - 1 should resemble a V-shaped curve with its vertex at (4, -1), passing through the points (2, 12) and (6, 12), and extending infinitely in both directions.

The graph of the function is attached.

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