Question 5 10+ 8 6 4 2 > 1 4 10 13 16 19 data Based on the histogram above, what is the class width? Class width= What is the sample size? Sample size = Frequency 7
Question 6 < > Predict the shape o

Answer:

Lydia's address is Cypress Street is: 51823

Step-by-step explanation:

Represent the digit as ABCDE such that:

A = Ones

B = Tens

C = Hundred

D = Thousand

E = Ten Thousand

Analyzing the statements one after the other:

The tens digit is 6 less than 7.

\(B = 7 - 6\)

\(B = 1\)

The thousands digit is twice the digit in the tens place.

\(D = 2B\)

\(D = 2 * 1\)

\(D = 2\)

The hundreds digit is the greatest even number that is less than 10.

\(C = 8\)

The ones digit is the product of 5 and 1.

\(A = 5 * 1\)

\(A = 5\)

The ten thousands digit is the difference between the hundreds digit and the ones digit.

\(E = C - A\)

\(E = 8 - 5\)

\(E = 3\)

Lydia's address is Cypress Street is: 51823

The coordinates of the given triangle after 90° counter-clockwise about the origin are: \(\left[\begin{array}{ccc}-1&-2&-4\\2&4&3\end{array}\right]\)

In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise around the origin to vertices, the coordinates of the vertices of the image are as follows:

(x, y)                               →                (-y, x)

Ordered pair (2, 1)        →           Ordered pair (-1, 2)

Ordered pair (4, 2)        →           Ordered pair (-2, 4)

Ordered pair (3, 4)        →           Ordered pair (-4, 3)

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Write 3 3/4 as a fraction:

Use conversion factor to find the exact number of loaves that Maliyah can make with 3 3/4 (15/4) cups of dough.

1 loaf requires 1/6 of cup of dough.

You can write the answer as a mixed number:

Then, with 3 3/4 cups of dough Maliyah can make 22 1/2 (45/2) loaves of bread.

Consider a right triangle with one leg of length x and hypotenuse of length 1. The expression cos(cos⁻¹(x)−sin⁻¹(x)) can be simplified to             x/√(1-x²).

Consider a right triangle with one leg of length x and hypotenuse of length 1. Then, sin⁻¹(x) is the angle opposite the leg of length x, and cos⁻¹(x) is the angle opposite the other leg. Therefore, cos(cos⁻¹(x) - sin⁻¹(x)) is the cosine of the difference between these two angles.

let θ = cos⁻¹(x) and φ = sin⁻¹(x). Then, we have:

cos(cos⁻¹(x)−sin⁻¹(x)) = cos(θ - φ)

Using the identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b), we can write:

cos(θ - φ) = cos(θ)cos(φ) + sin(θ)sin(φ)

Using the fact that cos(θ) = x and sin(φ) = x/√(1-x²), we get:

cos(cos⁻¹(x)−sin⁻¹(x)) = x * √(1-x²)/√(1-x²) + √(1-x²) * x/√(1-x²)

Simplifying, we get:

cos(cos⁻¹(x)−sin⁻¹(x)) = x/√(1-x²)

Therefore, the expression cos(cos⁻¹(x)−sin⁻¹(x)) can be expressed as an algebraic function of x as x/√(1-x²).

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Answer:

x i think its the awnser

Step-by-step explanation:

Set the denominator in 1x−4 1 x - 4 equal to 0 to find where the expression is undefined. Add 4 to both sides of the equation. The domain is all values of x that make the expression defined.

Answer:

17

Step-by-step explanation:

Using PEMDAS:

5² + 2(-8 ÷ 2)​

5² + 2(-4)

25 - 8

17

Answer:

3rd Option;

x = 4

y = 116

Step-by-step explanation:

Let's start by solving for "x" first:

=>  We know that in a parallelogram, opposite sides are parallel as well as congruent, therefore we can say:

Side 1 = It's opposite side

=> 16 = 3x + 4

=> 16 - 4 = 3x

=> 12 = 3x

=> 12/3 = x

=> 4 = x

Now that we know x, let's find the y-value;

=> We know that opposite angles in a parallelogram are congruent, therefore we can say;

Angle 1 = It's opposite angle

=> 56 = y - 60

=> 56 + 60 = y

=> 116 = y

Hope this helps!

The relative maximum value of f occurs at x = b) 0.20.

We can find the relative maximum value of f by finding the critical point of f, which is the value of x where the derivative of f is equal to 0.

f'(x) = e^x - 3x^2 = 0

e^x = 3x^2

ln(e^x) = ln(3x^2)

x = sqrt(ln(3x^2))/sqrt(3)

That is not a real value, however, we can find the relative max by finding the second derivative test, which is the sign of the second derivative of f at x. If the second derivative is positive, the x is a relative max.

f''(x) = e^x - 6x

To find the relative max we have to evaluate the second derivative at each option point a,b,c,d,e

a) -0.46 f''(-0.46) is negative

b) 0.20 f''(0.20) is positive

c) 0.91 f''(0.91) is negative

d) 0.95 f''(0.95) is negative

e) 3.73 f''(3.73) is negative

Therefore, the relative maximum value of f occurs at x = b) 0.20

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Answer:

0

Step-by-step explanation:

There's no letter "k" in the phrase "super awesome".

Answer:

isme kya likaha hai suddh english mein bhejo

The fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

A fraction represents a part of a whole.

1. Let's say Alexa had a total of 5x crayons in the bag.

the number of blue crayons in the bag is 2x,

There is one triangle for every two round crayons,

(1/2) × 2x = x (By condition)

So, the fraction of crayons that are blue triangle is x / 5x = 1/5.

The number of blue round crayons is 2x.

The number of non-blue crayons is 5x - 2x = 3x,

The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.

2.

4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.

The fraction of rubber footballs that are brown is 2/3.

The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.

The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.

The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.

So there are 4 times as many rubber footballs as non-rubber footballs

Hence,  the fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

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A scatter diagram is the chart called when the paired data (the dependent and independent variables) are plotted.

Explain the meaning of a scatter diagram.

In a scatter diagram, pairs of numerical data are graphed with one variable on each axis in an effort to find a correlation between them.

                A line or curve will be formed by the points if the variables are correlated. The points will hug the line closer the better the association.

What three types of scatter diagrams are there?

The slope, or trend, of the data points can be used to classify the scatter plot, as was previously mentioned: With Strong Positive Correlation Scatter Diagram Spreadsheet with Weak Positive Correlation. Strongly Correlated Negative Scatter Diagram.

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The observed odds ratio (the observed association between migraine headache and cell phone use) is OR = 1.23.

An investigator is studying the association between cell phone use and migraine headaches.

100 cases (migraine patients) and 100 controls (people who don't suffer from migraine), and asks each group how many hours they use their cell phones per day, on average.

To calculate odd ratio ( exposure is cell phone as to check cell phone use on migraine)

Odds of disease in exposed = 60/55= 1.09

Odd of disease in non exposed = 40/45 = 0.88

Thus the odds ratio will be = 1.09:0.88

=> Odds of disease in exposed / odds of disease in non exposed = 1.09/ 0.88 = 1.23

= OR = 1.23

Hence the answer is the observed odds ratio (the observed association between migraine headache and cell phone use) is OR = 1.23.

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Answer:12

Step-by-step explanation:

The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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Based on the information provided, we can expect that participants in Group 1 will have faster reaction times and higher accuracy rates compared to those in Group 2.

This is because the warning signal in Group 1 (L) is identical to the test pair, which facilitates a faster and more accurate response due to the phenomenon of priming. In contrast, the warning signal in Group 2 (U) is different from the test pair, which may cause confusion and slower response times.

Furthermore, we can also expect that overall reaction times and accuracy rates will be affected by the task difficulty, which is determined by the similarity of the test pair. If the test pair is identical, participants are expected to have faster reaction times and higher accuracy rates compared to when the test pair is different.

This is because it is easier to identify similarity than difference. It is also possible that practice effects and individual differences in cognitive abilities may influence the results.

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Answer:

Exponential

Step-by-step explanation:

The rate of change is exponential.

Answer:

6

Step-by-step explanation:

a: 3

b: -1

c: -2

3 - - 1 = 3 + 1 = 4

4 - - 2 = 4 + 2 = 6

Your answer is 6

The simplification of the expression when a = 3 b = -1 and c = -2 will be; 6.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given the expression as; |a-b-c|

Now substituting  a = 3 b = -1 and c = -2

|a-b-c|

|3 - (-1) - (-2)|

Solving the equation;

|3 + 1 + 2| = 6

Hence, the answer is 6

The simplification of the expression when a = 3 b = -1 and c = -2 will be; 6.

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The possible coordinates of the rectangle's other two vertices are

Given that:-

Coordinates of the rectangle : (3,7) and (-4,7).

Perimeter of the rectangle = 30units

We have to find the possible coordinates of the rectangle's other two vertices.

Let the length and breadth of the rectangle be l and b respectively.

We know that,

Perimeter of rectangle = 2(l + b)

Hence,

2(l + b) = 30

l + b = 15 units.

Distance between the points (3,7) and (-4,7) =

\(\sqrt{(7-7)^2+(-4-3)^2}=\sqrt{0^2+(-7)^2}=\sqrt{49} =7 units\)

Let b = 7 units.

l + 7 = 15

l = 8 units.

Hence,

Possible Coordinates of rectangle:-

(3, 7+8) or (3,7-8) = (3,15) and (3,-1) and,

(-4,7+8) or (-4, 7-8) = (-4, 15) and (-4,-1).

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Answer:

sorry for the late answer but it's a, b, and d. hope it helps :)

Answer:

118mm

Step-by-step explanation:

30+30+15+15+8+10+10

60+30+18+10

90+28

118m

Answer:

1 - 3/14

2 - 10 5/8

3 - 3/8

4 - 12 1/4

Step-by-step explanation:

numbers 1 and 3 are simple, just multiply the numerators and denominators together.

Numbers 2 and 4, you convert the mixed number to an improper fraction and multiply. Don't forget to switch the answer back to a mixed number if needed!

Step-by-step explanation:

on the picture

I hope it's helpful ❤❤❤

THANK YOU.

Step 1:

Concept

An inflection point is a point on the graph of a function at which the concavity changes. Points of inflection can occur where the second derivative is zero. In other words, solve f '' = 0 to find the potential inflection points. Even if f ''(c) = 0, you can't conclude that there is an inflection at x = c.

Step 2:

Find the first derivative of the function.

Step 3:

Find the second derivative

Step 4:

Next, set the second derivative equal to zero and solve. Because f '' is a polynomial, we have to factor it to find its roots.

The solution is x = 2

Final answer

Inflection point = (2 , -96)

Answer:

42°

Step-by-step explanation:

8 is the opposite

12 is the hypotenuse

We know from SOHCAHTOA to use sine

Since we are looking for the angle, we use sin^-1

sin^-1(opposite/hypotenuse)=x

sin^-1(8/12)=x

Input into calculator

x=42°

Step-by-step explanation:

we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the the side and related angle are always opposite to each other.

so,

12/sin(90) = 8/sin(x)

12/1 = 8/sin(x)

12 = 8/sin(x)

3 = 2/sin(x)

sin(x) = 2/3

x = 41.8103149...° ≈ 41.8°

Answer:

Hence its true.

Explanation:

a + b = c   [ equation 1 ]

b = x          [ equation 2 ]

solve:

replace b with x as they are equal.

a + x = c

to get the equation of any straight line, we simply need two points off of it, let's use those points in the graph

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{0}}}\implies \cfrac{2+4}{4}\implies \cfrac{6}{4}\implies \cfrac{3}{2}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{0}) \\\\\\ y+4=\cfrac{3}{2}x\implies y=\cfrac{3}{2}x-4\)

Answer:

2/3 divided by 4/5 = 5/6

Step-by-step explanation:

Arianna working:

2/3 divided by 4/5

= 2/3 x 4/5

= 8/15

Correct working:

2/3 divided by 4/5

= 2/3 ÷ 4/5

Multiply 2/3 by the reciprocal of 4/5

= 2/3 × 5/4

= (2*5) / (3*4)

= 10/12

= 5/6

2/3 divided by 4/5 = 5/6

Arianna's mistake was she didn't multiply by the reciprocal of 4/5

a. Sally can feed her pets in different orders by considering the concept of permutations. The number of different orders she can feed her pets can be calculated by finding the number of permutations of her 7 pets (3 dogs and 4 cats).

b. The probability that her first three pets to be fed are her cats can be determined by considering the total number of possible orders and the number of orders where the first three pets are her cats.

a. To calculate the number of different orders, we use the concept of permutations. The number of permutations of 7 objects (Sally's 3 dogs and 4 cats) is given by 7 factorial (7!). So the number of different orders Sally can feed her pets in is 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040.

b. Since Sally has 4 cats, the probability of the first three pets being her cats can be calculated by considering the number of ways the first three positions can be occupied by her cats (which is 4!) divided by the total number of different orders (which is 7!). So the probability is 4! / 7! = 24 / 5040 = 1 / 210, or approximately 0.0048.

Therefore, Sally can feed her pets in 5040 different orders, and the probability that her first three pets to be fed are her cats is approximately 0.0048.

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Answer:

you download the App your all solution is defined