Here are the shopping times in minutes) for a sample of 6 shoppers at a particular shoe store.
31, 39, 43, 41, 27, 41
Find the standard deviation of this sample of shopping times. Round your answer to two decimal places.

The probability that the animal's weight will be less than 151 pounds is 0.50.

The correct option is B.

Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.

From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.

Therefore, the answer is O 0.50.

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Answer:

A

Step-by-step explanation:

One easy way to determine if a coordinate is a function or not is to look at the number in the x's place only. There should not be the same number on the x's side for a different pair.

Every pair has a different number on the x's side, which is why A is the only possible answer.

b) The value of Bettina's expression is 4 times more than the value of Nikita's expression.

Nikita's expression = 72 + 26

Bettina's expression = 4 x (72 + 26)

For clarification, let us find the value of Nikita's expressions

Value of Nikita's expression = 72 + 26 = 98................(1)

Let us simplify Bettina's expression a little further:

Bettina's expression = 4 x (72 + 24)

Bettina's expression = 4 x 98 ..........................................(2)

Comparing equations (1) and (2), we would see that the value of Bettina's expression is 4 times the value of Nikita's expression.

Answer:

(A) \(5\frac{1}{4}*4\frac{1}{5}\)

Step-by-step explanation:

The area of a parallelogram is the same as the area of a rectangle which is A=bh where b is the base and h is the height. Therefore, Erica can use the expression \(5\frac{1}{4}*4\frac{1}{5}\) to find the area of the parallelogram.

The two types of transformations that can be used to transform f(x) to g(x).  g (x) = f(x) + 16 and g (x) = f(x + 8)

ABC has vertices at A (12, 8), B (4, 8)

f(x)= 0, -1 ,5,14

g(x)= -6, -1, -1, 14

g(x)=f(x)+k

-6= 0+k

k= -6

A) g (x) = f(x) + 16 and

g(x) = f(x + 8)

B) g(x)=f(x)+k

-1= -1+ k

k= -1+1=0

g(x)=f(x)+k

-1= 5+k

k= -1-5=-6

g(x)=f(x)+k

14= 14+k

k= 0

k= -6,0,-6,0

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Note that from the information provided, KL is 24. This is solved using the Centroid Theorem.

According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the midpoint of the sides.

From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem, thus,

⅔ of KL = LP

LP = 16

Plug in the value of LP

⅔ (KL) = 16

Multiply both sides by 3

2(KL) = 3*16

2(KL) = 48

Divide both sides by 2

KL = 48/2

Thus,

KL = 24

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D i.e. {C, T, U, -, *} is the minimal complete set of relational algebra operations.

What is relational algebra?

Relational Algebra is a query language that takes a Relation as input and returns another Relation as output. Relational algebra provides the theoretical basis for relational databases and SQL. The necessary column data for a relation is projected via projection.

Now,

As Five basic operations in relational algebra are : Selection, Projection, Cartesian product, Union, and Set Difference and all these are present in

{C, T, U, -, *}.

Hence,

            D i.e. {C, T, U, -, *} is the minimal complete set of relational algebra operations.

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By answering the presented question, we may conclude that Therefore, triangle the length of the base AB is approximately 20.88 centimeters.

A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.

the length of the base AB,

Area = (1/2) * base * height

\(CB^2 = CD^2 + BD^2\\9^2 = x^2 + (AB - x)^2\\81 = x^2 + (AB^2 - 2ABx + x^2)\\AB^2 - 2ABx + 2x^2 = 81\\\)

We also know that the area of the triangle is:

\(46 = (1/2) * AB * CB\\46 = (1/2) * AB * \sqrt(x^2 + 81)\\Now we can solve for AB in terms of x:AB = (2 * 46) / \sqrt(x^2 + 81)\\AB = 92 / \sqrt(x^2 + 81)\\(92 / \sqrt(x^2 + 81))^2 - 2(92 / \sqrt(x^2 + 81))x + 2x^2 = 81\\\)

\(8464 / (x^2 + 81) - (184x) /sqrt(x^2 + 81) + 2x^2 = 81\\8464 - 184x(x^2 + 81) + 2x^2(x^2 + 81) * sqrt(x^2 + 81) = 81(x^2 + 81)\\2x^4 - 181x^2 + 7743 = 0\\x^2 = (181 + \sqrt(181^2 - 427743)) / (2*2)\\x^2 = (181 + sqrt(129961)) / 4\\x^2 = (181 + 361) / 4\\x^2 = 90^2 / 4\\x = 45\sqrt(2) / 2\\\)

\(AB = 92 / \sqrt(x^2 + 81)\\AB = 92 / \sqrt((45sqrt(2) / 2)^2 + 81)\\AB = 92 / \sqrt(4050)\\AB ≈ 20.88 cm\\\)

Therefore, the length of the base AB is approximately 20.88 centimeters.

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Answer:

7.5 miles

Step-by-step explanation:

I think...

In March Ms. Turner drove 90 miles. If she drove 3 times as many miles in March as she did in January, then all we need to do at this point is multiply 3 to 90.

90 × 3 = 270

So Ms. Turner drove 270 miles in January.

Ms. Turner then drove 4 times as many miles in February as she did in January, so we will do the same here.

270 × 4 = 1080

Therefore, Ms. Turner drove 1,080 miles in February.

We have

--Sweaters: red, white and blue

Total = 3 colors

--Pants: red and blue

Total = 2 colors

Socks: red and white

Total = 2 colors

Therefore, the number of possible uniforms:

Answer:

x = ±25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

x² = 625

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

x = -25

Here we see that 625 does indeed equal 625.

∴ x = -25 is a solution to the equation.

x = 25

Here we see that 625 does indeed equal 625.

∴ x = 25 is a solution to the equation.

The probability that exactly four complaints will be received during the next eight hours is 15.41%.

A discrete probability distribution called the Poisson distribution provides the likelihood that an event will occur a specific number of times over the course of a given period of time or location. The formula for this distribution is given by \(P(X=x)=\frac{e^{-\mu}\times \mu ^x}{x!}\) where x is the number of successes, μ is the mean, and e is Euler's number.

Given n = 8 hours then, μ = 0.7n = 0.7×8 = 5.6.

Then, the probability that exactly four complaints are received is,

\(\begin{aligned}P(X=4)&=\frac{e^{-5.6}\times5.6^4}{4!}\\&=0.1541\end{aligned}\)

The required answer is 15.41%.

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Answer:

\(unit \: rate = \frac{distance}{time} \)

unit rate is similar to speed / velocity:

\(unit \: rate = \frac{ (\frac{1}{2} )}{ (\frac{1}{3})} \\ \\ = \frac{1}{2} \div \frac{1}{3} \\ \\ = \frac{1}{2} \times \frac{3}{1} \\ \\ = > { \boxed{ \boxed{unit \: rate = \frac{3}{2} \: miles \: per \: hour}}}\)

[unit rate must have units including per <time> ]

The range of the data set is 19

Range can be described as the difference between the highest and lowest value

The set of data is

15, 17, 21, 25, 31, 32, 32, 32, 34

The highest value is 34

The lowest value is 15

Range= 34 - 15

= 19

Hence the Range of the data set is 19

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The number of different committees that can be formed is 495

From the question, we have the following parameters that can be used in our computation:

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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Answer:

it's answer is D. 33°

Let the unknown angle be x Then.

x + 100° + 47° = 180° [ being sum of angles of triangle ]

x + 147° = 180°

x = 180° - 147°

x = 33°

Step-by-step explanation:

Answer: 5

Step-by-step explanation: I think it is 5

Answer:

This could be wrong I would get a second opinion

The profit would be 2800

Step-by-step explanation:

$1.99 - .87 = $1.12

$1.12 x 2500 = 2800

The answer is

Answer:

Step-by-step explanation:

The given data is expressed as

1204, 1206, 1345, 1306, 1207, 1078, 1357, 1232, 1228, 1302, 1189, 1177, 1083, 1094, 1326, 1071, 1427, 1348, 1420, 1253, 1270

The number of items in the data, n is 21. The lowest value is 1071 while the highest value is 1427. The convenient starting point would be 1070.5 and the convenient ending point would be 1427.5

The number of class intervals is

√n = √21 = 4.5

Approximately 5

The width of each class interval is

(1427.5 - 1070.5)/5 = 72

The end of each class interval would be

1070.5 + 72 = 1142.5

1142.5 + 72 = 1214.5

1214.5 + 72 = 1286.5

1286.5 + 72 = 1358.5

1358.5 + 72 = 1430.5

The frequency for the fifth class, that is between 1358.5 to 1430.5 would be 2

Answer:

answer: 0.9479

hope I helped

The difference between polynomial functions and rational functions is that the the last, the rational functions, can be always expressed as a quotient of polynomials.

This will make them differ in the graphs: as in rational functions we will have a polynomial in the denominator, its roots will become discontinuities (holes or vertical asymptotes). They may also present horizontal or slant asymptotes.

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

i do bellieve it is c

Step-by-step explanation:

Answer:

B. neither of them are solutions

Answer:

what's that

Step-by-step explanation: