Dilate the line shown by a scale factor of 1/4 with the center as (-3,9). Graph the dilated line

Answer: 21.3

Step-by-step explanation:

1. Cross multiply

8(8) = 3(x)

2. Simplify

64 = 3x

3. Divide by 3 on both sides to get the variable by itself

64/3 = 3x/3

4. Simplify

21.3333333333 = x

you can round the answer to the nearest tenth, which would be 21.3

The density of the material is 1533.3 grams per quarts.

Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.

Given that, the density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume.

The formula to find the density is Density=Mass/Volume

Density =6900/4.5

Density= 1533.3 grams per quarts

Therefore, the density of the material is 1533.3 grams per quarts.

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a). The number of scores which are expected to be lower than 18.31 is; 16 scores.

b). The number of scorers that are expected to be below 32.38 is; 98 scores.

As evident in the task content; the 100 ACT scores in discuss are normally distributed, hence, all peculiar characteristics of a normal distribution apply.

First, since the mean is given as; 23 and the standard deviation is; 4.69.

By observation; 23 - 4.69 = 18.31 and

23 + 4.69 + 4.69 = 32.38.

a). Since the percentage of data values which fall below one standard deviation below the mean is; 15.9% which is approximately; 16%.

Therefore, the number of scores below the 18.31 score is; 16% of 100 = 16 scores.

b). Also, since the score; 32.38 is 2 standard deviations above the mean, and it follows from a normal distribution that the percentage of data values below such data value is; 97.7% which is approximately 98%.

Therefore, the number of scores which are expected to be below 32.38 is; 98% of 100 = 98.

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Answer:

Step-by-step explanation:

10,14,18

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality.

The boundary line that separates the coordinate plane into two halves by a linear inequality represents the solutions to the inequality in one half. For > and, the border line is solid, and for and, it is dashed.

To determine the equation governing the inequality line, enter your slope and a point into the formula y = mx + B, where "m" denotes the slope, "x, y" denotes a point on the line, and "b" is the y-intercept. By inserting (0, 0), you get 0 = 0 + b, which equals 0.

When you rewrite the equation, you get y = x/2. The linear inequality x - 5 > 3x - 10 is an illustration. Due to the greater than symbol being utilised in this inequality, the LHS is clearly greater than the RHS.

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The percentage of people aged 20 to 34 that  have IQs between 125 and 150 of people aged 20 to 34 have IQs between 125 and 150 is 21.94%

Percentage simply means a proportion of the number as a fraction of 100

What percent of people aged 20 to 34 have IQs between 125 and 150?

Let X = Scores on the standard IQ test for the 20 to 34 age group

This implies that  X ~ Normal(x=110, б² = 25)

The z-score probability distribution for the normal distribution is given by;   Z  =   (x-ц)/б ~ N(0,1)

Recall that  population mean = 110 and standard deviation = 25

Now, the percent of people aged 20 to 34 have IQs between 125 and 150 is given by = P(125 < X < 150) = P(X < 150) - P(X  125)

 P(X < 150) = P(  <  ) = P(Z < 1.60) = 0.9452

 P(X  125) = P(    ) = P(Z  0.60) = 0.7258

The above probability is calculated by looking at the value of x = 1.60 and x = 0.60 which has an area of 0.9452 and 0.7258.

Therefore, P(125 < X < 150) = 0.9452 - 0.7258 = 0.2194 or 21.94%

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Therefore , the solution of the given question of percentage comes out to be It's because Different years and countries may have different overall numbers of newborns,.

A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

Here,

Given : we prefer a histogram of the percentages in each age class rather than the countries

It's because Different years and countries may have different overall numbers of newborns, making a comparison based on the absolute numbers difficult

If we insist on using the absolute numbers,

The group with the most population would definitely result in higher results, and make it impossible for us to see the changes in weight that happen to average inborns.

Therefore , the solution of the given question of percentage comes out to be It's because Different years and countries may have different overall numbers of newborns.

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The three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4  and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

What is ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

First we have to write the equivalent ratios for 75%.

Since, 75% can be written as,

75/100

Simplifying this, 15/20

Again simplifying this, 3/4

Hence, the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4.

Now to write the equivalent ratios for 100%.

Since, 100% can be written as,

100/100

Simplifying this, 20/20

Again simplifying this, 4/4

Hence, the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

Therefore,  the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4  and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

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The statements that would support her request include:

A well-known marker brand's manufacturer intends to introduce a new shade. It mailed surveys to 5,000 of its customers asking them which general color family they preferred in order to decide which color to add.

The percentage difference is not statistically significant enough to support the majority claim. The survey did not include families of every color, which might have led to nonresponse bias.

It's possible that the mail-in survey had an undercoverage bias. Also, the results were not random because only current clients were polled.

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Answer: the other guy is correct except for the "since only existing customers...".

Step-by-step explanation:

Just took the test, the others he mentioned were right

There is a $1,000 additional interest earned on a $100,000 CD (Commercial Paper) for 9 months than for 6 months.

The additional interest earned for a 9-month CD over a 6-month CD can be computed using the subtraction operation.

Firstly, the interests on the 9-month CD and 6-month CD are worked out separately, using the interest formula: Principal x Rate x Time.

The interest for the 6-month CD is subtracted from the interest for the 9-month CD.  The result is the difference or additional interest earned.

Commercial Deposit = $100,000

Annual Percentage Rate = 4%

Monthly Percentage Rate = 0.333% (4%/12)

Interest for 9 months = $3,000 ($100,000 x 4% x 9/12)

Interest for 6 months = $2,000 ($100,000 x 4% x 6/12)

The difference in interest earned = $1,000 ($3,000 - $2,000) or ($100,000 x 4% x 3/12)

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APY = 4%

The circumference of this circle is equal to 50.24 centimeters.

In Mathematics, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle simply refers to the set of all data points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Based on the image of this circle (See attachment), we can logically deduce that its radius is equal to 8 centimeters.

Substituting the given parameters into the circumference of a circle formula, we have;

Circumference of circle, C = 2 × 3.14 × 8

Circumference of circle, C = 50.24 centimeters.

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Answer:

The set A is defined as the set containing the elements c, d, e, f, and g.

The set B is defined as the set of odd numbers greater than 5 and less than 13. This set includes the elements 7, 9, and 11.

Step-by-step explanation:

By drawing a side on any one of the points, points X, Y, and Z can be used to create the circle.

It is described as a collection of points, each of which is spaced uniformly apart from a fixed point (called the centre of a circle)

First, draw three circles, each with the compass's drawing side on one of the points and the centre on another. The point of your compass should be on that point, and then you should place the drawing side on any one of the three points where they will all intersect in the middle.

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Answer:

------------------------

If you buy a sweater, the second one is at 40% discount.

Divide the discount between the two to get:

You get a discount of 20% for each sweater.

Answer:

Discount percentage = 20%

Step-by-step explanation:

Discount of the sweaters,

→ first sweater = 0%

→ other sweater = 40%

The average discount percent is,

→ (first sweater + other sweater)/2

→ (0% + 40%) ÷ 2

→ (0 + 40)/2

→ 40/2

→ 20% off

Hence, the answer is 20% off.

A) Total mass of 3500 books is 2,800 kilograms.

B) The average mass of one apple is 130 grams.

A) To find the total mass of 3500 books, each with a mass of 800 grams, we can multiply the number of books by the mass of each book:

Total mass = (3500 books) * (800 grams/book)

= 2,800,000 grams

= 2,800 kilograms

Therefore, the Total mass of 3500 books is 2,800 kilograms.

B) To find the average mass of one apple, we can divide the total mass of the apples by the number of apples:

Average mass = (1.04 tonnes) / (8000 apples)

= 130 grams/apple

Therefore, the average mass of one apple is 130 grams.

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Hello there!

Answer:

16

Step-by-step explanation:

[tex] |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0[/tex]

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

A remainder is the remaining amount of a number than comes out of a division. I'm not sure how to explain it better, so I'll give you an example:

Let's say you want to divide 5 by 2. We know that 5 can't be divided by 2 evenly, it won't give you a whole number. Instead it will give you a decimal 2.5.

In this case, 1 is the remainder and I will explain why! Do the long division for 5/2. 2 fits into 5 two times, so you multiply 2 * 2, which gives you 4. If you subtract that number from 5, you get 1. We know that 2 can't fit into one, therefore, 1 is the remainder. once you start getting into decimals, you can fit numbers into other numbers, which is why technically you can fit 2 into 5, but you can't fit it in evenly, if that makes sense!

I hope this example helps see what a remainder is. It's just the number in a long division that the divisor (in my example, 2 is the divisor) can't fit in!

Answer:

C

Step-by-step explanation:

1 pound sand for 1 2/3 pounds gravel.

1 pound gravel for 2/5 pound cement.

3 pounds sand = 3× 1 2/3 = 3 6/3 = 3+2 =

= 5 pounds gravel.

5 pounds gravel = 5 × 2/5 = 2 pounds of cement

Answer: To find the factor pairs for -240, we can use the following steps:

Find the prime factorization of -240: -240 = (-2) * (-2) * (-2) * (-3) * (-5)

For each prime factor, there are two possible factor pairs: (-1) and (1), and (-n) and (n). For example, for the factor -2, the possible factor pairs are (-1) and (1), and (-2) and (2).

The factor pairs for -240 are: (-1) and (1), (-2) and (2), (-3) and (3), (-5) and (5), (-6) and (6), (-10) and (10), (-15) and (15), (-30) and (30).

Thus, the factor pairs for -240 are: (-1, 1), (-2, 2), (-3, 3), (-5, 5), (-6, 6), (-10, 10), (-15, 15), and (-30, 30).

Step-by-step explanation:

Answer:

Step-by-step explanation:

3

Therefore , the solution of the given problem of function comes out to be 2.

A function connects various inputs together or produces a single output from each input. Simply explained, a function is a collection of equations that are linked to a single, identifiable output. A statement, rule, or law which explains the connection between two variables is known as a function in mathematics (the dependent variable). When a rule of this type is applied, there is just one output. by photographer Alex Federspiel. 

Here,

=> (1−α)(1−β)(1+α)(1+β)

​=>(1−α−β+αβ)​ /(1+α+β=αβ)

=> (1−(α+β)+αβ ) / ( 1+(α+β)+αβ)

=>(1 + 2/3 + 1/3 )/ (1 -2/3 + 1/3)

​=> 2 x 3 /2  =3

=> (1−α)(1+β)+(1−β)(1+α) / (1+α+β+αβ)

=> 3(2−2αβ)/2

​

=>3(1−αβ)

=>3(1− 1/3 )

=>2

Therefore , the solution of the given problem of function comes out to be 2.

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Explanation:

Multiply out the fractions. This is because volume = length*width*height when it comes to rectangular prisms, aka blocks.

(3/8)*(5/8)*(7/8) = (3*5*7)/(8*8*8) = 105/512

This fraction cannot be reduced since 105 and 512 have no factors in common, other than 1. A clue of this is to notice how neither 3, nor 5, nor 7 share any common factors (other than 1) with 8 in the denominator.

Answer:

105/512

Step-by-step explanation:

hope this helps

The area of the trapezoid is 1.5x² + 2x. If the height is increased by 4 feet, the new area would be 1.5x² + 8x

An equation is an expression that shows the relationship between two or more numbers.

Let x represent the height of the trapezoid.

a) One base of trapezoid measures five feet greater than its height. Hence:

First base = x + 5

The other base is one foot less than twice its height, hence:

Second base = 2x - 1

Area = (1/2)(sum of bases) * height = (1/2)(x + 5 + 2x - 1)(x) = 1.5x² + 2x

b) The height is increased by 4 feet. New height = x + 4

First base = (x + 4) + 5 = x + 9

Second base = 2(x + 4) - 1 = 2x + 7

Area = (1/2)(sum of bases) * height = (1/2)(x + 9 + 2x + 7)(x) = 1.5x² + 8x

The area of the trapezoid is 1.5x² + 2x.

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Answer: Simplify the expression.

6.1b − 4.9

Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.

In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.

For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.

To find the image of point E under this translation, you can apply the same translation to point E:

Point E is located at (5, 5).

The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).

You can follow the same process to find the images of the other points under the translation.

Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.

In this case, the translation vector is given by the displacement from point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).

To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:

Point E is located at (5, 5).

The translation vector is (-8, -7).

The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).

You can follow the same process to find the images of the other points under the translation.

Step-by-step explanation:

Answer:

----------------------------------------

Two copies of one tenth translates as:

Answer:

Two copies of 1/10 = 1/5

Step-by-step explanation:

Given statement,

→ two copies of one tenth.

Forming the expression,

→ 2 × (1/10)

Let's simplify the expression,

→ 2 × (1/10)

→ (2 × 1)/10

→ 2/10

→ 1/5

Hence, the answer is 1/5.

Graph A is defined by the function y=(x + 2)(x+7) as the graph at y=0 where the function crosses those two points .

The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). input is an x. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

The function's zeros are

0=x+2 x=-2

and

0=x+7 x=-7

Consequently, the graph at y=0 where the function crosses those two points .

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Answer: can you put them in order so i can read it better?

Step-by-step explanation:

Answer: x = 8.6 y=10.5

Step-by-step explanation: