The low temperatures in two cities are being compared. In City 1, the range in temperature is 20°F and the IQR is 7°F.
In City 2, the range in temperature is 15°F and the IQR is 7°F.
What might you conclude about the cities based on the ranges and interquartile ranges?

The multiplication of 165×3 is 321

To start, we can break down 165 into 100+60+5. This is because multiplication is distributive over addition. That means we can multiply each part separately and then add the results. So,

165×3 = (100+60+5)×3

= 100×3 + 60×3 + 5×3

Now, we can use the fact that 65×3=195 to find the answer to each of these products.

100×3 = 100×(65/65)×3 = (100×65)/65×3 = 65×3

60×3 = 60×(65/65)×3 = (60×65)/65×3 = 39×3

5×3 = 5×(65/65)×3 = (5×65)/65×3 = 3×3

Putting it all together,

165×3 = 65×3 + 39×3 + 3×3

= 195 + 117 + 9

= 321

Therefore, 165×3 = 321.

To know more about multiplication here

https://brainly.com/question/5992872

#SPJ4

\(x = 3y - 4 \\ x + 4 = 3y\)

Correct option is a)  The transformations in the function y=3√x+2 +2 Vertical Compression by a factor of 1/3, horizontal shift left 2, vertical shift down 2

When functions are changed, the graph's representational curve "moves to the left/right/up/down," "expands or compresses," or "reflects."

Function transformation. A function that transforms one function or graph into another, typically related function or graph is referred to as a function in mathematics. For instance, when a quadratic graph is translated, the vertex and axis of symmetry are moved, but the parabola's general form remains the same.

a) Vertical Compression by a factor of 1/3, horizontal shift left 2, vertical shift down 2.

To know more about Transformation in function visit,

brainly.com/question/27996647

#SPJ1

The height of the machine piston after 10 seconds is 2. 5m . Option B

Given the function;

y = 4.4 sin (0.4x -1.7) +2.3,

Where;

Given x as 10 seconds

y = 4. 4 sin ( 0.4(10) - 1. 7) + 2. 3

y = 4. 4 sin ( 4 - 1. 7) + 2. 3

y = 4. 4 sin (2. 3) + 2. 3

y = 4. 4(0. 04013) + 2. 3

y = 2. 47

y = 2. 5 meters in the nearest tenth

Thus, the height of the machine piston after 10 seconds is 2. 5m . Option B

Learn more about functions here:

https://brainly.com/question/2328150

#SPJ1

Answer:

D. 5.6 m

Step-by-step explanation:

Use your context clues.

All the other answers had O, like an X, so I put D, which was correct. *Wink*

A' is complement of A, A∩B is intersection of A and B, A∪B is union of A and B.

In set theory, the complement of a set is the set of all elements in the universal set that are not in the given set. In other words, it is the set of all elements in the universal set that are outside of the given set.

Ω = {2, 3, 4, 5, 6, 7, 8, 9} (whole numbers from 2 to 9)

A = {4, 6, 8} (even numbers from Ω)

B = {2, 3, 5, 7} (prime numbers from Ω)

a. A' (complement of A, i.e. elements in Ω that are not in A)

A' = {2, 3, 5, 7, 9} (odd numbers and 9 are not in A)

b. A∩B (intersection of A and B, i.e. components found in both A and B)

A∩B = {2} (the only even prime number is 2)

c. A∪B (union of A and B, i.e. elements that can be found in A, B, or both)

A∪B = {2, 3, 4, 5, 6, 7, 8} (all the even numbers and prime numbers from Ω).

To know more about complement visit:

https://brainly.com/question/29775107

#SPJ1

The complete question is:

ASAP

Ω = {whole numbers from 2 to 9} A = {even numbers} B = {prime numbers} List the elements in:

a. A’

b. A∩B

c. A∪B

Answer:

a = 2/5 = 0.4

b = 9/25 = 0.36

c = 19/50 = 0.38

Step-by-step explanation:

relative frequency = (number of desired results)/(total number of possible results)

a = 4/10 = 2/5 = 0.4

b = 18/50 = 9/25 = 0.36

c = 76/200 = 19/50 = 0.38

Answer:

0.6275

Explanation:

We were given the following informationL

Flounder = 278

Red Drum = 382

Black Drum = 194

Bluefish = 348

Sea Trout = 159

Total = 278 + 382 +194 + 348 + 159 = 1,361

The probability that the next fish caught is a drum or a flounder is given by:

Therefore, the probability of the next fish being a Drum or Flounder is: 0.6275

The correct choice for the use of the Divergence Theorem is (a) Normal vectors pointing away from the enclosed region.

The Divergence Theorem, also known as Gauss's theorem, relates the flux of a vector field across a closed surface to the divergence of the vector field within the enclosed region. It states that the flux through a closed surface is equal to the volume integral of the divergence over the enclosed region.

By convention, the normal vectors on a closed surface are chosen to point outward from the enclosed region. This choice ensures that the divergence of the vector field is positive when it represents a source or outward flow of the field from the enclosed region. If the normal vectors were chosen to point inward, the divergence would be negative for outward flow, leading to incorrect results when applying the Divergence Theorem.

Therefore, to correctly apply the Divergence Theorem, we choose the orientation with normal vectors pointing away from the enclosed region.

Learn more about Divergence Theorem here:

https://brainly.com/question/10773892

#SPJ11

Answer:

Equation of line passing through   ( 2,2) in point slope form is y-2=3 (x-2)

Step-by-step explanation: hop this helps you

Answer:

y=2x-1 is the answer in y=mx+b form.

Answer:

2.8

Step-by-step explanation:

If you turn the question around (6.7 - 3.9) the answer is 2.8

Hope this helps~

Answer:

1 5 and 8 also equal 130

2 3 6 and 7 equal 50

Step-by-step explanation:

have a great day :D

Answer:

∠1= 130°

∠2= 50°

∠3= 50°

∠4= 130°

∠5= 130°

∠6= 50°

∠7= 50°

∠8= 130°

Step-by-step explanation:

angles 1&2 have to equal 180°

and so on for ∠3&4  and 5&6 and 7&8

180-130=50

Answer:

The median {Q2} is 10

Q1 is 7+7/2 which is 7

Q3 is 15+12/2 which is 13.5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

its coreect

The statement provides information about the age distribution of people in a barangay. Specifically, it states that the average age of people living in the barangay is 34 years old, with a standard deviation of 14.

This information is useful for understanding the age demographics of the barangay and can be used in various ways. For example, it can help inform decisions related to public health initiatives, social services, and infrastructure planning. It can also be used in statistical analyses, such as calculating the probability of certain age ranges occurring within the barangay population or comparing the age distribution of the barangay to other populations.

To know more about standard deviation , here

brainly.com/question/23907081

#SPJ4

--The complete question is, Suppose that the average people living in a brgy is 34 years old with a standard deviation of 14. What according to the information given can be concluded from the situation?--

Okay, here we have this:

Considering the provided expression, we are going to solve and simplify it, so we obtain the following:

Finally we obtain that the expression is equal to -22/5.

Answer:

f(x)=X^2+4

f(x)=42

42=X^2+4

X^2+4=42

X^2=42-4

X^2=38

X=sqrt(38)=6.16

\( \sqrt{?} \)

(a) Since the period of the sine function is 12 months, then 2π/12=π/6 represents the coefficient of t in the sine function. Since the amplitude is (18.8 - 6)/2 = 6.4, the equation is of the form:y = 6.4 sin (π/6 t + ϕ) + 12.4where ϕ is the phase shift. Because y = 12.4 when t = 0,ϕ= 0.

the equation can be written as:y = 6.4 sin (π/6 t) + 12.4(b) The graph is as shown below:The sinusoidal curve oscillates between 18.8 hours and 6 hours. The curve reaches a maximum at t = 6 months (June 1) and a minimum at t = 12 months (December 1).

At t = 0, the curve crosses the horizontal axis at y = 12.4. The curve crosses the horizontal line at 15 hours for the first time after it reaches the maximum, so there are approximately 4 months when there are more than 15 hours of daylight.

(c) The curve crosses the horizontal line at 15 hours for the first time after it reaches the maximum, so there are approximately 4 months when there are more than 15 hours of daylight. The number of days with more than 15 hours of daylight is approximately 4/12 × 30.5 = 10.17 days, or about 10 days. there are about 10 days each year with more than 15 hours of daylight.

To know about visit:

https://brainly.com/question/9525052

#SPJ11

If the probability an American will die from falling is 0.41%, the probability a American will not die from falling is 100% - 0.41% = 99.59%.

Answer: 99.59%.

Answer:

Each family member gave $4

Step-by-step explanation:

(-44 - (-80))/9

36/9

4

Step-by-step explanation:

Look at point A ====>  A'

  x goes from 1 to 4           so X:  x + 3

  y goes from 7 to 3          so Y:   y - 4

So the coefficient of determination is 0.476 or 47.6%. This means that 47.6% of the total variation in the dependent variable can be explained by the independent variable(s) in the regression model.

The coefficient of determination (R-squared) is the proportion of the total variance in the dependent variable that is explained by the independent variable(s). It is calculated as the ratio of the sum of squares due to regression (SSR) to the total sum of squares (SST).

R-squared = SSR / SST

In this case, SSR = 11.06 and SST = 23.22. Therefore,

R-squared = SSR / SST = 11.06 / 23.22 = 0.476

The remaining 52.4% is due to other factors not included in the model.

Learn more about coefficient visit: brainly.com/question/27969435

#SPJ4

I searched it up and it said the answer is 6.0869 mph

Answer:

-5

Step-by-step explanation:

Let's assume the you are moving horizontally along the number line. If you start at -4 and jump to -6, you have made 2 jumps to the left(-4;-5;-6). So halfway between them (the midpoint) is 1 jump (half of 2 jumps).

1 jump to the left of -4.... You land at -5.

Schweet!

Answer:

4x-36

Step-by-step explanation:

3x+x=4x

Answer:

4(x - 9)

Step-by-step explanation:

x + 3x - 36 =

= 4x - 36

= 4(x - 9)

- Statement A is true.

- Statement B is false.

- Statement C is true.

- Statement D is true.

- Statement E is false.

- Statement F is true.

- Statement G is false.

Let's analyze each statement and determine if it is true or not with respect to the specified mappings in ℝ²:

A. Horizontal shear leaves the first entry of each vector unchanged.

- This statement is **true**. In a horizontal shear transformation, only the second entry of each vector is modified, while the first entry remains unchanged.

B. Reflection across the line x₂ = x interchanges the entries of a vector.

- This statement is **false**. Reflection across the line x₂ = x does not interchange the entries of a vector. It reflects the vector across the line, but the entries remain the same.

C. Projection onto the x₁-axis makes the second entry of the vector zero, not changing the first entry.

- This statement is **true**. When a vector is projected onto the x₁-axis, its second entry is set to zero, while the first entry remains unchanged.

D. Reflection through the origin negates both entries of a vector.

- This statement is **true**. Reflection through the origin reflects the vector across the origin, resulting in both entries being negated.

E. The vector e axis maps onto e₁.

- This statement is **false**. The vector e₁ maps onto itself, not the entire e-axis.

F. Reflection across the x₂-axis maps the vector e₂ onto (-e₂).

- This statement is **true**. Reflection across the x₂-axis flips the sign of the second entry of a vector, so the vector e₂ will be mapped onto (-e₂).

G. Under a vertical shear, the image of the vector e is the vector e₁ itself.

- This statement is **false**. Under a vertical shear transformation, the image of the vector e is not e₁ itself. The vertical shear will modify both entries of the vector e.

To summarize:

- Statement A is true.

- Statement B is false.

- Statement C is true.

- Statement D is true.

- Statement E is false.

- Statement F is true.

- Statement G is false.

Learn more about Statement here

https://brainly.com/question/27839142

#SPJ11

Answer:

3 x 4 x 5 is 60

so the answe would be 60 cm^3

Step-by-step explanation:

The amplitude, period, and zero value of the function y = 3cos(x+5) are (A) 3, 2π, later.

Option D is correct.

The amplitude of a cosine function is described  as half the difference between the maximum and minimum values of the function.

In the question given, the maximum value of the function y = 3cos(x+5) is 3 and the minimum value is -3, hence amplitude is:

A = (3 - (-3)) / 2 = 3

For a cosine function with a period of 2π, the maximum or minimum values repeat every 2π units along the x-axis.

In the question above, the period of the function y = 3cos(x+5) is:

P = 2π

in conclusion, the phase shift of a cosine function is the horizontal shift of the graph of the function along the x-axis, which is represented by the constant term (x+5) in this case.

Phase shift = later

Learn more about amplitude at: https://brainly.com/question/25748143

#SPJ1

The requried simplified value of x and y is 25 and 101 for which the two triangles became similar.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,
In one triangle, A = 31° and B = 97° . In a second triangle, D = (x+ 6)° and E = (y- 4)°.

For the condition, being the two triangles similar, their corresponding also should be similar.

A = D
31 = x + 6
x = 25

Similarly,
B = E
97 = y - 4
y = 101

Thus, the requried simplified value of x and y is 25 and 101 for which the two triangles became similar.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ1

The constant of proportionality of the table is 15. The equation is y = 15x.

We need the Boxes of candy and the pieces of candy to know the slope or rate.

The table is a proportional table. Proportional relationships are relationships between two variables where their ratios are equivalent.  

A proportional relationship can be represented in the from as follows:

y = mx

where

x = boxes of candy

y = pieces of candy

Let's use one of the point on the table.

(10, 150)

Therefore,

y = mx

150 = 10m

divide both sides by 10

m = 150 / 10

m = 15

Therefore,

y = 15x

We need the boxes of candies and pieces of candy to know the rate.

learn more on constant of proportionality here: https://brainly.com/question/31206981

#SPJ1

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

Answer:

15

Step-by-step explanation: