In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the width of the trapezoid if AC = 3, AD = 5.

Answer:

25%

Step-by-step explanation:

If the cost price could be 100

Then there's A/Q

One-fourth is always 100/4 = 25%

Answer:

\(\huge\boxed{\sf 18^{-3}}\)

Step-by-step explanation:

\(\displaystyle \frac{18^4}{18^7}\)

So, the expression becomes:

= \(18 ^{4-7}\)

= \(18^{-3}\)

\(\rule[225]{225}{2}\)

The median, mean, range and mode will be 6, 5.4, 9 and 7.

What is median?

The median is the middle number in the data set when the data set is written from least to greatest.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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Answer:

The slope between the two points is 7/4

Step-by-step explanation:

Slope  of a Line

Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The points plotted by Carlos are (-4,-4) and (0,3), thus the slope is:

\(\displaystyle m=\frac{3-(-4)}{0-(-4)}\)

\(\displaystyle m=\frac{7}{4}\)

The slope between the two points is 7/4

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 64.4 inches, standard deviation of 2.91

This means that \(\mu = 64.4, \sigma = 2.91\)

Sample of 50 women

This means that \(n = 50, s = \frac{2.91}{\sqrt{50}}\)

What is the probability that the mean height for the sample is greater than 65 inches?

This is 1 subtracted by the p-value of Z when X = 65. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}\)

\(Z = 1.46\)

\(Z = 1.46\) has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Answer:

  y = 20

Step-by-step explanation:

The measure of angle A is such that the sum of the two congruent base angles and A is 180°.

  2(25°) +(3y+70)° = 180°

  3y +120 = 180 . . . . . . . . . . . divide by ° and simplify

  3y = 60 . . . . . . . . . . . . subtract 120

  y = 20 . . . . . . . . . .divide by 3

__

The value of x is 5.

Answer:

\(\frac{5}{8}\) and 62.5%

Step-by-step explanation:

5/8=0.625

when converting a decimal to a percentage you just move the decimal point over to the right twice so it would be 62.5%

In response to the question, we may say that As a result, the radius of the circle is 9.42 cm and its area is 7.065 cm sq

A circle seems to be a two-dimensional component that is defined as the collection of all places in a jet that are equidistant from the hub. A circle is typically shown with a capital "O" for the centre and a lower portion "r" for the radius, which represents the distance from the origin to any point on the circle. The formula 2r gives the girth (the distance from the centre of the circle), where (pi) is a proportionality constant about equal to 3.14159. The formula r2 computes the circumference of a circle, which relates to the amount of space inside the circle.

a) 3 cm diameter: The radius (r) of a circle is half its diameter, hence r = 3 cm/2 = 1.5 cm

The formula C = 2r gives the circumference of a circle, where is approximately equivalent to 3.14.

As a result, C = 2 3.14 1.5 cm = 9.42 cm.

The formula A = r2 calculates the area of a circle.

As a result, A = 3.14 (1.5 cm)2 = 7.065 cm sq.

As a result, the radius of the circle is 9.42 cm and its area is 7.065 cm sq

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9514 1404 393

Answer:

  33 ft

Step-by-step explanation:

The object is 18/12 = 3/2 times as tall as the shadow it casts.

The building is 3/2 times as tall as its shadow:

  (3/2)(22 ft) = 33 ft

The building is 33 ft tall.

Answer:

the answer is 33 feet

Step-by-step explanation:

:))

Answer:

27%

Step-by-step explanation:

Let x = simple interest rate

$9000 / 36 = $250 per month

$250x = 317.5

Divide both sides by 250

250x/250 = 317.5/250

x = 1.27

Let's check

250 x 1.27 = 317.5

If you were to multiply by .27 then it would just go down

250 x .27 = 67.5

The perimeter and the area of the rectangle is as follows:

perimeter=182 cm

area=2028cm².

A rectangle is a closed, four-sided figure in two dimensions. The opposite sides of a rectangle are equal and parallel to one another, and all of its angles are 90 degrees.

The area of a rectangle is equal to the product of the rectangle's length and breadth, or "l" and "w," and is written as follows:

Rectangular Area = (l x w)

The formula for the perimeter, 'P' of a rectangle whose length and width are 'l' and 'w' respectively is 2(l + w).

Formula for the Perimeter of a Rectangle: 2 (Length + Width)

Now in the question given,

Length of the rectangle = 8cm.

Width of the rectangle = 6cm.

So, original perimeter=2 × (8+6) +28 cm and

original area=8 × 6= 48 cm²

Now the scale factor = 6.5

New length = 8 × 6.5 = 52cm

width = 6 × 6.5 = 39cm.

New perimeter = 2(52+39) =182 cm.

New area = 52 × 39 = 2028cm².

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The complete question is:

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?

Answer:

The correct equation for this situation is: 27 = j + 9, where j represents the number of shells Jamie has collected.

To find out how many shells Jamie has collected, we need to solve this equation for j:

27 = j + 9

Subtracting 9 from both sides of the equation:

27 - 9 = j + 9 - 9

18 = j

Therefore, Jamie has collected 18 shells.

So, the correct answer is A) 27 = j + 9; Jamie collected 18 shells.

Step-by-step explanation:

Answer:

f(-5) = 30

f(0) = 5

f(3) = 14

Step-by-step explanation:

=> f(x) = x²+5

for , f(-5) = (-5)² +5

=> 25 +5

=> 30

for , f(0) = (0)² +5

=> 5

for , f(3) = (3)² + 5

=> 9 + 5

=> 14

Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%

5/8

64%

0.65

Answer:

x-10

Step-by-step explanation:

A disadvantage of using a questionnaire is that B. The respondent controls the validity.

Questionnaires are a means of gathering data in research in order to find out more about a certain phenomenon. They involve writing questions and giving them to a respondent to fill out the answers.

Questionnaires are inexpensive to administer and can lead to confidential results which is good. However, they have the disadvantage that respondents control the validity of questionnaire results and can decide to lie if they feel it would make them look better, which would confuse the research results.

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Answer:

9

Step-by-step explanation:

Данный,

=> x - 3 = 6

=> x = 6 + 3

=> x = 9 (Отвечать)

Answer:

False. The product of two negative integers is a positive integer.

Answer:

A) 3n= 3x1= 3

3n= 3x2= 6

3n= 3x3= 9

3n= 3x4= 12

3n= 3x5= 15

3n= 3x6= 18

3n= 3x7= 21

3n= 3x8= 24

3n= 3x9= 27

3n= 3x10= 30

B)7n= 7x1= 7

7n= 7x2= 14

7n= 7x3= 21

7n= 7x4= 28

7n= 7x5= 35

7n= 7x6= 42

7n= 7x7= 49

7n= 7x8= 56

7n= 7x9= 63

7n= 7x10= 70

C) 6n= 6x1= 6

6n= 6x2= 12

6n= 6x3= 18

6n= 6x4= 24

6n= 6x5= 30

6n= 6x6= 36

6n= 6x7= 42

6n= 6x8= 48

6n= 6x9= 54

6n= 6x10= 60

Answer

Not sure is there supposed to be a pic?

Step-by-step explanation:

The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.

When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.

In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.

The total points earned in this situation would be 8, which is not equal to 0.

In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.

In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.

Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.

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The probable question may be:

In which of these situations do the quantities combine to make 0?

A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.

B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.

C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.

D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.

hope that helps :)

If g(t) is cut in half, then t is doubled. Halving the growth factor halves the rate of growth, reducing the time required for a generation to develop to full size.

Growth factor refers to a mathematical expression or a metric that measures the rate of increase or growth of a quantity over time. It is used in many fields such as biology, economics, finance, and others to quantify the increase in size, population, revenue, or any other variable of interest. The growth factor can be represented as a ratio, percentage, or an exponential function and is used to predict future growth based on past trends.

3 potential points

Three tries are permitted.

If g(t) is divided in half, t is also divided in half. This is because the growth factor is a measure of the rate of growth, and halving it equals halves the rate of growth. As a result, the time required for a generation to develop to full size is cut in half.

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Answer:

7.84

Step-by-step explanation:

783.68

\(783.63 \div 100 = 7.8363\)

Approx to 7. 84

we have that

when

x-----> -4

f(x) is zero

so

f(x)=0

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

C

Step-by-step explanation:

Rbrberbrb

Answer: Its c

=- 1 1/4

Answer: 93 and 4/5

Step-by-step explanation:

6 7/10 divided by 1/14

= 67/10 divided by 1/14

= 67/10 x 14/1

= 67/5 x 7/1

= 469/5