The following statement contains an error. Choose the statement that best explains the error.

"The correlation between shoe size and height is 0.87 inches"

A. Correlation requires that both the variables be categorical
B. When stating the correlation coefficient, one must state whether it is a positive or negative relationship
C. This statement does not tell us whether or not shoe size is correlated with height
D. When reporting correlation, one does not report units because correlation has no units
E. There is no error in this statement

Answer:

13+26=39

Step-by-step explanation:

the 7th odd number is 13 and 13th even is 26

Answer:

\(\displaystyle 39\)

Step-by-step explanation:

\(\displaystyle 39 = 13 + 26 \Rightarrow 39 = 13 + 2[13]\)

On a hundred chart, you will see that the seventh odd number is \(\displaystyle 13,\)and the thirteenth even number is self-explanatory, so you should know what occurs there.

I am joyous to assist you at any time.

The approximate volume of the remaining solid is option (b) 77 cubic inches

The volume of the rectangular prism is given by

V_rectangular prism = base area x height = 4 x 4 x 6 = 96 cubic inches

The volume of the cylinder is given by

V_cylinder = π x r^2 x h = π x 1^2 x 6 = 6π cubic inches

To find the volume of the remaining solid, we need to subtract the volume of the cylinder from the volume of the rectangular prism

V_remaining solid = V_rectangular prism - V_cylinder = 96 - 6π ≈ 77 cubic inches (rounded to the nearest whole number)

Therefore, the correct option is (b) 77 cubic inches

Learn more about volume here

brainly.com/question/16407920

#SPJ4

Answer:   4/3 is not irrational, it is rational

Explanation:

A rational number is a ratio, or fraction, of two integers. The denominator cannot be zero.

4/3 is rational since it's the ratio of the integers 4 over 3.

Since it is rational, it is not irrational. The term "irrational" literally means "not rational". Therefore, a real number is either of those options, but not both simultaneously.

A famous example of an irrational number is \(\pi \approx 3.14...\) because it cannot be written as a fraction of two integers. We can get approximations like 22/7, but never manage to capture the full value of \(\pi\) with a single fraction.

Another example of an irrational number is \(\sqrt{2}\)

\(\displaystyle\\Answer: \ \frac{4}{3} \ isn`t\ an\ irrational\ number\)

Step-by-step explanation:

An irrational number is an infinite non-periodic fraction

\(\displaystyle\\\frac{4}{3}=1\frac{1}{3} \\\\\frac{4}{3} =1.333333...\\\\\frac{4}{3}=1.(3)\)

1.(3) - is an infinite periodic fraction

\(\displaystyle\\Hence,\ \frac{4}{3} \ isn`t\ an\ irrational\ number\)

Answer:

2(71-x²)

Step-by-step explanation:

f(x)=-2(x-8)²+14

    =-2(x²-64)+14

    =-2x²+128+14

    =-2x²+142

    =142-2x²

    =2(71-x²)

Step-by-step explanation:

15×2.25

pounds sold = 33.75

Answer: 25

Step-by-step explanation:

\(\frac{23+27}{2}=\boxed{25}\)

Answer:

the correct answer is c

Step-by-step explanation:

I just know

The trigonometric identity, (sec(x) ÷ cos(x)) - (tan(x) ÷ cot(x)) is equivalent to the Pythagorean identity sec²(x) - tan²(x) = 1, therefore;

(sec(x) ÷ cos(x)) - (tan(x) ÷ cot(x)) = sec²(x) - tan²(x) = 1

A trigonometric identity is an equation involving trigonometric ratio which is correct for possible values of the input variables.

The specified trigonometric identities can be presented as follows;

sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = 1

cos(x) = 1/sec(x)

tan(x) = 1/cot(x)

cot(x) = 1/tan(x)

Therefore; sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = sec(x) ÷ (1/sec(x)) - tan(x) ÷ (1/tan(x)) = 1

Therefore;

sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = sec²(x) - tan²(x)

The Pythagorean identities, indicates that we get;

sec²(x) - tan²(x) = 1

Therefore; sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = sec²(x) - tan²(x) = 1

Learn more on the Pythagorean Identities here: https://brainly.com/question/31043777

#SPJ1

If we choose a = -6/7 and b = 1, the set {u, v, w} will be linearly dependent. The specific value of k does not matter for the linear dependence; it only affects the scalar multiple of vector w.

To determine the value of k that will make the set {u, v, w} linearly dependent, we need to find a non-trivial linear combination of these vectors that results in the zero vector. In other words, we want to find constants a, b, and c (not all zero) such that:

au + bv + cw = 0

Substituting the given values of u, v, and w into the equation, we have:

a⎣⎡​7​​1​​−4​​⎦⎤​ + b⎣⎡​6​​−2​​−2​​⎦⎤​ + c⎣⎡​−7​​32​​​7​​4​​k​​⎦⎤​ = ⎣⎡​0​​0​​0​​⎦⎤​

Expanding and combining like terms, we get the following system of equations:

(7a + 6b - 7c)⎣⎡​1​​0​​0​​⎦⎤​ + (a - 2b + 32c)⎣⎡​0​​1​​0​​⎦⎤​ + (-4a - 2b + 7c)⎣⎡​0​​0​​1​​⎦⎤​ + (4ck)⎣⎡​0​​0​​0​​⎦⎤​ = ⎣⎡​0​​0​​0​​⎦⎤​

This can be written as a system of four equations:

7a + 6b - 7c = 0    (Equation 1)

a - 2b + 32c = 0    (Equation 2)

-4a - 2b + 7c = 0   (Equation 3)

4ck = 0            (Equation 4)

Since we are looking for a non-trivial solution, the constant k cannot be zero. Therefore, Equation 4 implies that c must be zero since dividing by k would result in an undefined value.

Substituting c = 0 into Equations 1, 2, and 3, we get:

7a + 6b = 0         (Equation 1')

a - 2b = 0          (Equation 2')

-4a - 2b = 0        (Equation 3')

We can see that Equations 2' and 3' are multiples of each other, so they do not provide any additional information. Therefore, we only need to consider Equation 1', which becomes:

7a + 6b = 0

To find a non-trivial solution, we can choose values for a and b such that they satisfy this equation. Let's set b = 1, then the equation becomes:

7a + 6(1) = 0

7a + 6 = 0

7a = -6

a = -6/7

Thus, if we choose a = -6/7 and b = 1, the set {u, v, w} will be linearly dependent. The specific value of k does not matter for the linear dependence; it only affects the scalar multiple of vector w.

Learn more about vector from

https://brainly.com/question/28028700

#SPJ11

For the two given graphs, the value for vector equation is obtained as \(\vec{w} = 2\vec{u} + \vec{v}\).

What is a vector?

A vector in mathematics is a quantity that not only expresses magnitude but also motion or position of an object in relation to another point or object. Euclidean vector, geometric vector, and spatial vector are other names for it.

From first graph it is seen that -

\(\vec{u}= < 1,1 >\) and \(\vec{v}= < -1,2 >\)

From second graph it is seen that -

\(\vec{w}= < 1,4 >\)

So, it is obtained that -

\(a\vec{v}+b\vec{u}=\vec{w}\)

Substitute all the values in the equation -

a<-1,2> + b<1,1> = <1,4>

<-a,2a> + <b,b> = <1,4>

<-a+b,2a+b> = <1,4>

The two equation obtained are -

-a + b = 1

2a + b = 4

Subtracting the equation 1 from 2 -

2a + b - (-a + b) = 4 - 1

2a + b + a - b = 3

3a = 3

a = 1

Substitute the value of a in equation 1 -

-1 + b = 1

b = 1 + 1

b = 2

So, the equation \(a\vec{v}+b\vec{u}=\vec{w}\) becomes -

\(\vec{v} + 2\vec{u} = \vec{w}\)

Therefore, the vector is obtained as \(\vec{w} = 2\vec{u} + \vec{v}\).

To learn more about vector from the given link

https://brainly.com/question/15519257

#SPJ1

Answer:it would be 2:22

Step-by-step explanation:

If there’s 25 minutes till 10 so therefore it would be 9:35 and since it’s 9:35 four hours and 51 minutes from then would be 2:22 because the minutes would add up to 82 minutes and four hours so your answers to 2:22

Answer:

No solution

Step-by-step explanation:

7x + 2y = 16

-21x - 6y = 24

Take the first equation that multiply it all the way through by3.  Then add it to the second equation

21x + 6y = 48

-21x -6y = 24

0x + 0y = 72

0≠72

This is a false statements so there is no solution.

(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

Answer:

"Nothing but net" won the game

Step-by-step explanation:

Answer:

they won

61 to 43

Step-by-step explanation:

Considering the definition of perpendicular line, the equation of the perpendicular line is y= -1/2x + 1/2.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

The line is y= 2x -3

where:

If you multiply the slopes of two perpendicular lines, you get –1, you get:

2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ 2

slope perpendicular line= -1/2

The line passes through the point (-5, 3). Replacing the point and the slope in the expression for a line:

3= (-1/2)× (-5) + b

3= 5/2 + b

3 -5/2 = b

1/2= b

Finally, the perpendicular line is y= -1/2x + 1/2.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

Answer:

hey if you want the answer go to app store type cymath app

Step-by-step explanation:

go download it and check it if very useful for your maths teas or homework

For these given triangles to be similar the value of x has to be 7.

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Given, two triangles with one 90-degree angle and the sides are given as shown in the figure.

To prove that two triangles are similar, we need to show that their corresponding angles are congruent and their corresponding sides are in proportion.

Thus,

If triangles are Similar

(3x -1)/2x = (7 + 3)/7

(3x -1)/2x = 10/7

Cross multiply the equation

21x -7 = 20x

x = 7

therefore, for these given triangles to be similar the value of x has to be 7.

Learn more about congruent triangles here:

https://brainly.com/question/22062407

#SPJ9

Answer:

The answer is D) $13.50

Step-by-step explanation:

So first what you're gonna do it subtract $9.50 from $36.50 which will get you to $27.00.

Then you'll have to figure out what half of $27.00 is.

That will get you to the answer of D) $13.50

If a sample size is one-fourth the original size, the margin of error will be affected. Specifically, the margin of error will be affected inversely proportional to the square root of the sample size.

Halving the sample size (from the original) will cause the margin of error to increase by a factor of square root of 2, approximately 1.41.

Doubling the sample size (from the original) will cause the margin of error to decrease by a factor of square root of 2, approximately 0.71.

Quadrupling the sample size (from the original) will cause the margin of error to decrease by a factor of square root of 4, approximately 0.5.

Therefore, if the sample size is reduced to one-fourth the original size, the margin of error will be doubled, because the square root of 4 is 2. Conversely, if the sample size is increased fourfold, the margin of error will be halved, because the square root of 1/4 is 1/2.

Learn more about sample size here:

https://brainly.com/question/30885988

#SPJ11

The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

Know more about steady-state solution here:

https://brainly.com/question/15073499

#SPJ11

Answer:

48m^2 + 56m

Step-by-step explanation:

-8m(-6m - 7)

Use the distributive property. (-8m*-6m & -8m*-7)

-8m*-6m = 48m^2

-8m*-7 = 56m

48m^2 + 56m

Certainly! Here's the solution to find the equation of the cubic polynomial with zeros at 0, 1, and 2:

Since the zeros of the polynomial are 0, 1, and 2, we can express the polynomial in factored form as:

\( \sf f(x) = (x - 0)(x - 1)(x - 2) \\\)

Simplifying the expression, we get:

\( \sf f(x) = x(x - 1)(x - 2) \\\)

Expanding the product, we have:

\( \sf f(x) = (x^2 - x)(x - 2) \\\)

Using the distributive property, we can further simplify:

\( \sf f(x) = (x^3 - 2x^2 - x^2 + 2x) \\\)

Combining like terms, we get:

\( \sf f(x) = (x^3 - 3x^2 + 2x) \\\)

Therefore, the equation of the cubic polynomial with leading coefficient 1 and zeros at 0, 1, and 2, in standard form, is:

\( \sf f(x) = x^3 - 3x^2 + 2x \\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

It will take Dracula 195 minutes to make enough bracelets to reach his goal of 100 bracelets in total.

To find out how long it will take Dracula to make 100 bracelets in total, we need to consider the 22 bracelets he already has and how many more he needs to make. Hence,

1: Determine how many more bracelets are needed.

100 (goal) - 22 (initial) = 78 bracelets

2: Calculate the number of 15-minute intervals required to make the remaining bracelets.

Dracula makes 6 bracelets every 15 minutes, so we divide 78 (bracelets needed) by 6 (bracelets per interval).

78 ÷ 6 = 13 intervals

3: Find out how long it takes in minutes.

Each interval is 15 minutes long, so we multiply 13 (intervals) by 15 (minutes per interval).

13 × 15 = 195 minutes

Hence, based on the information provided it will take Dracula 195 minutes to reach his goal of 100 bracelets in total.

Note: The question is incomplete. The complete question probably is: Dracula is making bracelets for a charity fund-raiser. He already had 22 bracelets that his friend gave him and he adds 6 more bracelets every 15 minutes. If Dracula has a goal of having 100 bracelets made in total, how long will it take him minutes?

Learn more about Intervals:

https://brainly.com/question/29078786

#SPJ11

The values of t that place 85% of the area in the middle of the distribution are between -3.379 and 3.379.

To find the values of t that place 85% of the area in the middle of the distribution, we need to find the t-scores that correspond to the 7.5th and 92.5th percentiles of the t-distribution with 46 degrees of freedom.

We can use a t-table or a statistical software to find these values. Using a t-table, we can look up the critical t-values for the two tails of the distribution that include 7.5% and 92.5% of the area.

For a two-tailed test at the 5% significance level with 46 degrees of freedom, the critical t-value is approximately 2.013.

To find the t-scores for the 7.5th and 92.5th percentiles, we need to multiply the critical t-value by the corresponding t-multiplier for the degrees of freedom. For 46 degrees of freedom, the t-multiplier is approximately 1.678.

Thus, the t-score that corresponds to the 7.5th percentile is -2.013 x 1.678 = -3.379, and the t-score that corresponds to the 92.5th percentile is 2.013 x 1.678 = 3.379.

Learn more about degrees of freedom here

brainly.com/question/15689447

#SPJ4

The given question is incomplete, the complete question is:

Consider a t distribution with 46 degrees of freedom. What values of t place 85% of the area in the middle of the distribution?

The length of the placemat is 4/3

The first step is to write out the formula

Area= length × width

The area and width were given in the question

Area= 2/3 , width= 1/2

The length can be calculated as follows

2/3= 1/2 × x

2/3 = 1/2x

cross multiply both sides

3x= 4

x= 4/3

Hence the length of the placemat is 4/3

Read more on length here

https://brainly.com/question/10439539?referrer=searchResults

#SPJ1

Answer:

200.96cm^2

Step-by-step explanation:

the circle's diameter is 16cm --> the radius is 8cm

the area of the circle is 8^2 x 3.14 = 200.96 cm^2

Based on the question, the volume of the cylinder is approximately 56,520 cubic meters.

The formula for the volume of a cylinder is seen as:

V = πr²h

where

V  = volume

r =  radius of the base

h = height of the cylinder.

Then by Substituting the given values, we will have:

V = π(10m)²(18m)

= π(100m²)(18m)

= 18000π cubic meters

To be able to  find the value to the nearest tenths place, we need to use π ≈ 3.14. hence:

V ≈ 18000 × 3.14

= 56520 cubic meters

Therefore, the volume of the cylinder is about 56,520 cubic meters to the nearest tenths place.

Learn more about cylinder  from

https://brainly.com/question/9554871

#SPJ1

Answer:

(36+42)/2 = 39

Hope this helped

Answer:

39 is the median.

Step-by-step explanation:

First place the numbers in numerical order. 30,32,32,36,42,43,44,45 is the order. Then find the middle number and since the count of numbers is even add the two middle numbers together and then divide it by two. 36+42=78 then divide by two which is 39.

Hope this helped and have a great day!

(Please vote brainliest)

Answer:68

Step-by-step explanation:

5