The ages of four children are 14, 12, 15, and 17
Work out the range of the ages of the four
children.

If Hanna is walking there is a 0.4 chance of not being late. 0.75 x 0.4 = 0.3 probability of not being late.

If Hanna cycles there is a chance of 0.8 of not being late. 0.6 x 0.8 = 0.48.

0.48 + 0.3 = 0.78.

In other words, there is a 78% probability of her not being late.

The relationship between the input  and output  is that the perimeter of a square is always equal to four times the length of one of its sides.

The perimeter of a square is the total distance around the outside of the square. It is the sum of the lengths of all four sides. To find the perimeter of a square, you simply multiply the length of one side by four, since all sides of a square are equal in length. The formula is P=4S

1.The relationship established between (side length of the square) and output (perimeter of the square) represent that A square's perimeter is always equal to 4 times one of its sides.

2.Yes, the function can be represented with an equation. The equation would be:

Perimeter = 4 × Side Length.

Side Length (input) 1  2  3  4  5

Perimeter (output)  4 8 12 16 20

This equation states that the perimeter of a square is equal to four times the length of one of its sides.

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The number of coins of nickels and quarters will be 27 and 13, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Tanner has $4.60 in nickels and quarters. If he has 14 more nickels than quarters.

Let 'x' be the number of nickels and 'y' be the number of quarters. Then the equations are given as,

x = y + 14                               ....1

0.05x + 0.25y = 4.60             ....2

From equations 1 and 2, then we have

0.05(y + 14) + 0.25y = 1

0.05y + 0.70 + 0.25y = 4.60

0.30y = 3.9

y = 13

Then the value of 'x' is given as,

x = 13 + 14

x = 27

The number of coins of nickels and quarters will be 27 and 13, respectively.

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Between the 100th and 400th kilometers, the average fuel consumption rate is 5/6 liters per kilometer.

A consequence of dividing the variation in a variable's function by the variation in the variable. For example The rate at which a distance changes in relation to time is known as velocity.

Given, Devin drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed.

Since in the domain [100, 400] graph shows somewhat linear properties.

from the graph Fuel consumption at 100 = 375 liters

Fuel consumption at 400 = 125 liters

rate in a linear function between two points = (y₂ - y₁)/ (x₂ - x₁)

thus rate between [100, 400] = (375-125)/400-100

rate between [100, 400]  = 250/300

rate between [100, 400] = 5/6litere per kilometer

therefore, the average fuel consumption rate, between the 100th kilometer and 400th kilometer is 5/6 liters per kilometer.

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The volume of the cone is 50π cubic units .

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

A cone has a circular base.

A cone has no edges, one face, and one vertex.

The length of the line segment from a cone's apex to any point around the circle of the cone's base is known as the slant height of the cone.

A right circular cone is a cone with its apex perpendicular to the base of the cone and directly above it.

An oblique cone is one that doesn't have its apex precisely over the base's circle.

Radius of the cone = 5

Height of the cone is 6

Volume of the cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] = [tex]\frac{1}{3}\pi *5^{2}* 6 = 50\pi[/tex] cubic units.

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The total distance traveled from 0 ≤ t ≤ 7, considering the position function x(t) = t³ - 6t² - 29, is given as follows:

288.75 units.

The position function for this problem is defined as follows:

x(t) = t³ - 6t² - 29.

The total distance traveled over an interval [a,b] is given by the definite integral of the function x(t) over the interval from x = a to x = b.

The definite integral in this problem is calculated as follows:

I = 0.25t^4 - 2t³ - 29t, from t = 0 to t = 7.

Applying the Fundamental Theorem of Calculus, the total distance is calculated as follows:

I = 0.25(7)^4 - 2(7)³ - 29(7) - (0.25(0)^4 - 2(0)³ - 29(0))

I = 288.75 units.

(which is the absolute value of the result of the definite integral).

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Answer:

-65

Step-by-step explanation:

Median = middle number

-76, -74, -67, -65, -63, -58, -48

out of the numbers I am shown, from the photo, I would say "-65" is the answer, but if there is another number I'm missing, add it to the row of numbers above and add the two numbers together and divide by 2

I hope this helps!

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (1, 4) ← 2 points on the line

m = [tex]\frac{4-0}{1-(-1)}[/tex] = [tex]\frac{4}{1+1}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Answer: The slope is 2.

Step-by-step explanation: To find the slope of a line, we first need to pick two points on a line. To solve this, I picked points (-2, -2) and (1, 4). The slope is rise over run, so you need to find the rise and run and divide.

We need to go 6 spaces up from (-2, -2) to get to (1, 4). This is our rise. Then, we go 3 spaces to the right. That is our run. 6 / 3 is 2, so that's your slope. Notice that if you cannot divide the rise and run into a whole number, keep it as a fraction instead.

Let me know if this is right! :)

The weight of the baby after five months is 15 Kg.

Step 1:

Given:

New-born baby weight = 5kg

Monthly average weight gained = 2kg

To find:

The weight of the baby after 5 months.

Average Weight of Baby:

Birth weight is the weight of the baby at birth. [1] The average birth weight of babies of European descent is 3.5 kilograms, with a normal range of 2.5 to 4.5 kilograms (5.5 to 9.9 pounds). On average, South Asian and Chinese babies weigh about 3.26 kg. The prevalence of low birth weight infants decreased slightly from 7.9% (1970) to 6.8% (1980), then increased slightly to 8.3% (2006) and is currently at 8.2% (2016).

Step 2:

Represent the unknown.

Let x-the number of months .

Let y-weight of the baby after 5 months.

Step 3:

Formulate the equation.

The mathematical equation is:

5+2x = y

Step 4:

Solve the equation.

5+2x = y

5+2(5) = y

5+10 = y

y = 15

Thus, the baby weight is 15kg after 5 months.

Step 5:

Using the equation 5+2x=y.

5+2x = y

5+2(5) = 15

5+10 = 15

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When reflected in the y-axis, the image of the point (2/3) is (-2/3).

The sign of the x coordinate changes when a point is mirrored on the y-axis.

When a figure is built around a single point known as the point of reflection or the figure's centre, a reflection point results. There is an exact opposite point on the other side of each point in the figure. The shape and dimensions of the figure remain unchanged underneath the point of reflection.

The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).

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Blank space 1: 3

Blank space 2: 4.242

Blank space 3: 6

Blank space 4: 6

Blank space 5: 3

This can be solved using triangle theorem.

Given that,

Liling is making a quilt. She starts with two small squares of material and cuts them along the diagonal.

The bigger square = 36 sq. in.

Then the side of the bigger square = √36 inch = 6 inch

Next, The side of the bigger square = Diagonal of the smaller square

Let the side of the smaller square = a (let)

Diagonal (smaller square): a√2 = 6 inch

so, a = 3√2 inch

Thus,  a = 3 x 1.414 = 4.242

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The complete question is as follows:

The inequality is x ≤ 35, where x represents the amount of gas in gallons.

This question means by the statement that we have been given that the number of gallons cannot exceed 35 so it actually means that they are either 35 or less than 35. so will use < = sign to come up with this equation.

You can have up to 35 gallons of gas at a time at the gas station. The inequality x ≤ 35 represents the fact that x (the amount of gas in gallons) is less than or equal to 35.

This means that the equation will be x≤35

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Answer:

Its 22:40

Step-by-step explanation:

Answer: 22:40
Pretty simple

Step-by-step explanation:

NA (There is not enough information given to determine the value of MZ)

In this question, we are given that WY is 4.6 for us to find the value of MZ We need more information to be in a position to answer this. More information includes maybe we know the value of M or at least having some relationship between WY and MZ for us to draw a conclusion and come up with the value of MZ. If at all we had a common value in WY and MZ say M then it could be easier to come to a conclusion and finally get the value of MZ.

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The scale factor of the dilation is 2. An expansion happens when the scaling factor's absolute value exceeds one.

The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the center of dilatation. The scale factor and the center of dilation are used to determine the dilation transformation. The image stretches if the scaling factor is greater than 1.

As per the rule of scale factor

Q'U'/QU = SF

SF= Scale factor

=    (5+5)/5= Scale factor

=      10/5= 2

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Answer:

Step-by-step explanation: If the sides are a,b,c (in ascending order) and c squared = the sum of the squares of a and b, then it's a right triangle.

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Right triangle fulfill the pythagorean theorem:

[tex]a^2+ b^2 = c^2[/tex]

Where, c is the hypothenuse or the longest side, and b and a are the remaining two sides.

[tex]12^{2} = 144\\16^2 = 256\\256 + 144 = 400\\\sqrt {400} = 20 \neq 18[/tex]

Answer:

16 and 18

16 + 18 = 34 .......... .....

Marissa velocity while skateboarding is 162 meters per minute

An equation is used to show the relationship between numbers and variables.

Velocity is the ratio of displacement to time taken. It is a vector quantity (has magnitude and direction) and it is given by:

Velocity = displacement / time

Marissa travels 486 meters in 3 minutes, hence:

Velocity = displacement / time

Velocity = 486 m / 3 min = 162 meters per minute

The velocity is 162 meters per minute

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Answer: The correct answer is 2.7m/s

Step-by-step explanation:

I took the test

Therefore , the solution ot the given problem of trigonometry comes out to be Option (A) and (F) are the correct answers since sin = BC/AC = cos(90 - ∅), and cos = AB/AC = sin(90 - ∅).

The right triangle's angle serves as the domain input value for the six basic trigonometric operations, which produce a range of numbers as their results.Understanding the trigonometric functions of the four quadrants' graphs, domains, differentiation, and integration will be achievable.

Here,

Sinx = perp./hypo.

Cosx equals base/hypo.

So,

Sin = B/C

A= cos(90 -∅ ) = BC/AC

So,

Cos(90 -∅ ) = Sin(BC/AC)

And,

cos = AC/AB

AB/AC = sin(90 -∅ )

So,

cos AB/AC = sin (90 -∅ )

Therefore , the solution ot the given problem of trigonometry comes out to be Option (A) and (F) are the correct answers since sin = BC/AC = cos(90 -∅ ), and cos = AB/AC = sin(90 - ∅).

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The equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5)  is 2x+y = -2.

The line between these locations' slopes must equal the negative reciprocal of the bisector's slope. It must go through the segment midway.

The slope of the line through the given points :

m = (y2 -y1)/(x2 -x1) = (5 -(-1))/(4 -(-8)) = 6/12 = 1/2

Then, The slope of the required bisector:   m = -1/(1/2) = -2

The midpoint of the given segment:

((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)

Then the point-slope form of the equation of the bisector:

y -y1 = m(x -x1)

y -2 = -2(x -(-2))

y = -2x -4 +2

y = -2x -2 . . . . . . . slope-intercept form equation

2x +y = -2 . . . . . . .standard form equation

Thus, The equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5)  is 2x+y = -2.

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To find the mass of an object, one can use the formula (Force x Distance) / Gravitational Constant (FG). This formula involves multiplying the force applied to an object by the distance it moves, and then dividing the result by the gravitational constant (FG). The resulting number is the mass of the object in kilograms.

Mass can be found by using the formula (Force x Distance) / Gravitational Constant (FG).

For example, if a force of 10N is applied to an object that is moving 2 meters, the mass of the object can be calculated as follows:

Mass = (10 N x 2 m) / FG

Mass = 20 / 9.8

Mass = 2.04 kg

Finding mass using the force-distance formula (FG) is a simple process. To use it, one needs to know the force applied to an object, the distance it moves, and the gravitational constant (FG). The force and distance values can be measured or calculated depending on the situation. The gravitational constant is a fixed number and is equal to 9.8 m/s2. To calculate the mass, one needs to take the force multiplied by the distance and then divide it by the gravitational constant (FG). The resulting number is the mass of the object in kilograms. This formula is useful for calculating the mass of objects in a variety of situations. It is also useful for verifying the mass of an object that has already been measured.

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Answer: 907.46 inches squared

Step-by-step explanation:

The formula for the area of the circle is:

[tex]A = \pi r^{2}[/tex]

In this question, pi is 3.14. The radius of a circle is half of its diameter. So:

[tex]\frac{34}{2} =17[/tex]

Plug these values into the equation:

[tex]A = (3.14)(17)^2[/tex]

Simplify:

[tex]A = 907.46[/tex]

The area of the circle is 907.46 inches squared.

Both (x + y = 15) and (0.5x + 0.65y = 9.00) make up the equation system.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

The statement is not an equation if there is no "equal to" sign in it

According to our question-

x is the quantity of oranges.

y is the quantity of apples.

Oranges plus apples equal 15, or x plus y equals 15, so Aisha purchased 15 pieces of fruit.

Apples cost $0.65 and oranges cost $0.50. The fruit cost Aisha $9.00.

0.5x (the total cost of the oranges) + 0.65y (the total cost of the apples) equals 9.00 (the total cost of the fruit).

x + y = 15

0.5x + 0.65y = 9.00

As a result, the system of equations is (0.5x + 0.65y = 9.00) and (x + y = 15).

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Answer: D

Step-by-step explanation:

In this problem, we are asked to find the domain of the function. Domain is finding the interval of the function of the x value.

Since we are finding domain, we can eliminate A and B because those are looking at y interval, or range.

This leaves us with C and D. They are almost the same except for the ≤ in C and < in D. The difference between ≤ and < is the fact that ≤ includes and touches the point, and < doesn't.

The function has open circles at x=-3 and x=3. That means they don't touch and include x=-3 and x=3. The function only get's really close to those points, but not include them. This tells us that D is the answer.

The domain of the function is {x | −3 < x < 3}. Thus, Option D holds the truth.

The domain of a function refers to the interval of the x values of the function.

In this case, we are asked to find the domain of a linear function that is shown on a graph. The graph starts at an open circle at negative 3, negative 5 and ends at an open circle at 3, 7.

To find the domain, we need to look at the x interval of the function. Options A and B refer to the y interval or range and can be eliminated.

The remaining options, C and D, are similar, except for the fact that C includes and touches the point with "≤", while D doesn't with "<". The open circles at x=-3 and x=3 indicate that the function only gets close to these points, but does not include or touch them.

Thus, the correct answer is option D, {x | −3 < x < 3}.

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The correct answer will be:

Quantitative data, both sample sizes are greater than 30 or Both population distributions could be Normally Distributed, Random Samples or Random application of treatments

There should be just one group for each subject. The observations in each category are unrelated to one another. There were no notable outliers in any category.

The following are the presumptions for a percentage significance test: Data come from a random sample [Sample is large enough, which is presumed to be true when. It should be noted that both quantitative and categorical data can be subjected to a significance test for a proportion.

Most parametric tests begin with the underlying presumption of population distribution. The ratio scale or interval scale measurements, easy random extraction, normal distribution of the data, a sufficient sample size, and homogeneity of variance are all prerequisites for performing the t-test.

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Answer:

5 hours

Step-by-step explanation:

Olivia needs to make 700 - 15 = <<700-15=685>>685 cupcakes.

So she needs to work for 685 / 137 = <<685/137=5>>5 hours

Answer:

He scored an average of 4.8 points per minute.

Answer:

The matrix does not have an inverse (D)

Step-by-step explanation:

The matrix is singular, therefore doesn't have an inverse

something noteworthy is that the x-coordinate is the same for each point, so Check the picture below.