An employee at an aquarium monitors how much their sea otters eat. The amount of food a particular otter eats
daily is approximately normally distributed with a mean of 17 pounds and a standard deviation of 1 pound. They
suspected this otter was not eating enough, so they took a random sample n = 10 days and observed a sample
mean of T = 16.5 pounds of food per day.
To see how likely a sample like this was to occur by random chance alone, the employee performed a simulation.
They simulated 40 samples of n = 10 values from a normal population with a mean of 17 pounds and a
standard deviation of 1 pound. They recorded the mean of the values in each sample. Here are the sample
means from their 40 samples:

Answer:

C

Step-by-step explanation:

Answer:

24a^2 +50a+25

Step-by-step explanation:

Step-by-step explanation:

[tex] \bf \red { Area: \; \boxed{ 24 } units^2} [/tex]

Formula of area of a parallelogram is :

○ b denotes base

○ h denotes height

Here,

→ Area of the parallelogram = 6 units × 4 units

→ Area of the parallelogram = 24 units²

[tex] \therefore [/tex] Area of the parallelogram is 24 units².

[tex] \bf \purple { Perimeter: \; \boxed{ 22 } units} [/tex]

Since, opposite sides of a parallelogram are equal. So,

○ First side = 6 units

○ Second side = 5 units

○ Third side = 6 units

○ Fourth side = 5 units

→ Perimeter = ( 6 + 5 + 6 + 5 ) units

→ Perimeter = ( 12 + 10 ) units

→ Perimeter = 22 units

[tex] \therefore [/tex] Perimeter of the parallelogram is 22 units.

[tex]\boxed{ \sf { AREA \; FORMULA }} [/tex]

[tex]\boxed { \sf { A = Base \times Height }} [/tex]

Answer:

option 1 is correct

y= 1/2 cos 2x

Explanation

put x= 0

as cos 0= 1

y= 1/2= 0.5

Now put x = π/4

y= 1/2 cos 2*(π/4)=1/2 cosπ/2=0

as cosπ/2=0

Answer:

  To get black from red ...

Step-by-step explanation:

You want the know the transformation that is applied to the red graph to make it be the black graph.

We note that the vertex of the black graph is (-1, 4), which is 1 unit left and 4 units up from the vertex of the red graph.

The black graph opens downward, and has a slope of ±3 compared to the slope of ±1 for the red graph. This means it has been reflected across the x-axis and scaled by a factor of 3.

The reflection and scaling can both be accomplished by multiplying the function by -3. The translation is accomplished by adding 4 to the function value to shift it up 4 units, and adding 1 to the x-value to shift the graph left 1 unit.

The transformations applied to the red graph are ...

Answer:

1/5 lawn = 20 min.

    ?      =    1 min

0.05 lawn in 1 minute

rate of 0.05 mowed per minute.

Answer:

What is the time and place in which events happen?

a. conflict

b. plot

c. settings

d. theme

The answer is setting because it's the condition, time, and place in which events or actions happen.

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Answer: D

Step-by-step explanation: She should make rows of 3 until she has 47 rows. She will have 1 left over. Because 47*3 = 141 plus the left over 142

Step-by-step explanation:

2a+c

=2( 2+(-6) )

=2( -4 )

= -8

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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Answer:

it would be able to make 20 different sets. not at the same time though. you would only be able to make 2 at one time

Answer:

plz convert it i can't understand

Answer:

Its between A and B

Step-by-step explanation:

I think its B Tho

Answer:

option d is correct answer

Step-by-step explanation:

equation y=-7 and slope zero

as equation of staight line y= MX+c

The we can say that the slope of the line is undefined and the {y} - intercept is -7.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that Zoran graphed the line shown in the image.

The line is parallel to the {x} axis. So, it has no slope. Or, we can say that the slope of the line is undefined. It intersects the line at y = -7, at the {y} - axis. So, the {y} - intercept will be {y} = -7.

Therefore, the we can say that the slope of the line is undefined and the {y} - intercept is -7.

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Answer:

320 pushups

Step-by-step explanation:

16/6= 8/3

8/3*120=32

Answer:

they are equivalent just trust me

Step-by-step explanation:

m/4n m*2  and 4n82 = 2m/9n is same as m/4n *2

Answer:

Equivalent

Step-by-step explanation:

Yes, they are equivalent, we know that because if we multiply both the numerator and the denominator of the first fraction by 2, we will get the second one.

[tex]\frac{m}{4n} = \frac{m * 2}{4n*2} = \frac{2m}{8n}[/tex]

Answer:

2599.50

Step-by-step explanation:

7500 - 2(2450.25) = 2599.50

Answer:

[tex]40[/tex].

Step-by-step explanation:

The range of a set of numbers is the difference between the maximum and minimum numbers.

In this set of number, [tex]50[/tex] is the maximum while [tex]10[/tex] is the minimum. Hence, the range would be [tex]50 -10= 40[/tex].

9514 1404 393

Answer:

  {f(x), g(x)} = {x^4, x(x+4)}

Step-by-step explanation:

If we look at the composite function from the point of view of the Order of Operations, we see the operations performed on x are ...

From the point of view of decomposition, we want the outer function (f(x)) to be one that can be applied to the expression produced by the inner function (g(x)). Looking at our list, we find that raising an expression to the 4th power could qualify as the outer function we want. (We could also use raising to some other power, if we wanted.)

So, f(x) = x^4.

This leaves ...

  f(g(x)) = f(4x +x^2)

so, g(x) = 4x +x^2.

One possible set of functions is ...

  {f(x), g(x)} = {x^4, x(x+4)}

Answer:

30 clovers

Step-by-step explanation:

If Nathaniel find 2 four-leaf clovers in the first 12 minutes of his search, the rate at which he finds the four-leaf clovers is:

[tex]\implies \sf Rate=\dfrac{2\;clovers}{12\;minutes}=\dfrac{1}{6}\;clovers\;per\;minute[/tex]

To predict the number of four-leaf clovers Nathaniel will find in 180 minutes, multiply the found rate by 180 minutes:

[tex]\implies \sf \dfrac{1}{6} \times 180=30\;clovers[/tex]

Therefore, Nathaniel will find 30 clovers in 180 minutes based on the rate at which he found 2 clovers.

[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=2/12×180

\: [/tex]

[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=30clovers[/tex]

9514 1404 393

Answer:

  1372π/3 cm^3 ≈ 1436.8 cm^3

Step-by-step explanation:

The diameter and height of the cylinder are both 14 cm. The resulting solid will be a 14 cm sphere. Its volume is ...

  V = 4/3πr^3 = 4/3π(7 cm)^3 = 1372π/3 cm^3 ≈ 1436.8 cm^3

Answer:

a(n) = 1 + 7(n-1)

Step-by-step explanation:

Answer:15

Step-by-step explanation:multiples of 3 and 5 and the LCM of 5 and 3 is 15

Answer:

nadara y correra hasta dentro de 15 días

Step-by-step explanation:

3 y 5 se multiplican y dan 15, entonces durante ese tiempo, Juanita correra 2 veces y nadara 4 veces, cuando sea el día en el que correra por tercera vez, tambien será el día en el que nadará por quinta vez

Answer:

D

Step-by-step explanation:

if x=11, -4(11)=-44. 47-44=3 and 3<7 which is true.

Answer:

n>11

Step-by-step explanation:

The solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.

To determine and graph the inequality 7n - 1 > 76;

First Add 1 to both sides of the inequality to isolate the variable term.

7n - 1 + 1 > 76 + 1

7n > 77

Divide both sides of the inequality by 7 to solve for n.

(7n) / 7 > 77 / 7

n > 11

Since n is greater than 11, the graph will be an open circle on 11, and an arrow extending to the right.

Therefore, the solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.

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Answer: The club members estimate that they will sell 100 tote bags when the price is $11 each, and for every price increase of $1, they estimate they will sell 10 fewer bags. If the price increases to $13, then this is a $2 increase from the original price, so we can calculate the number of fewer bags they estimate they will sell:

10 fewer bags per $1 increase * $2 increase = 20 fewer bags

To find the number of bags they estimate they will sell when the price is $13, we can subtract this decrease from the original number of bags they estimate they will sell:

100 bags - 20 fewer bags = 80 bags

To find the revenue in dollars, we can multiply the number of bags they estimate they will sell by the price of the bags:

80 bags * $13 per bag = $1040

So the estimated revenue when the bags are priced at $13 each is $1040

Step-by-step explanation:

Answer:

9 = 1st number

21 = 2nd number

Step-by-step explanation:

given that :

1st number = x __eq_i

2nd number (in terms of the first number) = 2x + 3 __eq_ii

1st number + 2nd number = 30 __eq_iii

input eq_i and eq_ii in eq_iii

x + 2x + 3 = 30

3x + 3 = 30

3x = 30 - 3

x = 27 ÷ 3

x = 9

9 = 1st number

input the value of x in eq_ii

2x + 3

2(9) + 3

18 + 3

21 = 2nd number

hope that helps.