The ratio of Marcus's point to Scott's point will be = 1 : 2
According to the table given attached below,
We can find the ratio of the squares,
First, let us know about the definition of Ratio and Proportion.
The ratio is defined as the comparison between the two similar quantities
The fraction can also be represented as a ratio using the ' : ' sign
For example, let us consider two numbers a and b
In fraction, we could write it as = \(\frac{a}{b}\)
Writing it as a ratio = a : b
According to the table given below,
Marcus's points = 7
Scott's points = 14
The ratio of Marcus's points to Scott's points = \(\frac{Marcus}{Scott}\)
14 / 7
2 / 1
2 : 1
Therefore, The ratio of Marcus's point to Scott's point will be = 1 : 2
To know more about Ratios and Proportions,
https://brainly.com/question/7096655
#SPJ4
solve the equation and justify each step using the algebraic properties of equality
Answer:
-5
Step-by-step explanation:
3x=-13-2
3x=-15
x=-5
PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
4a2 - 1
c) 2а – За – 2
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ score less than 78 to the nearest tenth
?
Answer:
97
Step-by-step explanation:
Ana,beto y Carla son confeccionará de polos,por cada 12 polos que confecciona Ana,Beto confecciona 7,mientras que por cada 28 polos que confecciona Beto,Carla confecciona 15 si el fin de semana Carla confecciona 198 polos más que Carla,cuántos polos confecciono Beto ese día?
Resolviendo un sistema de ecuaciones veremos que polo hizo 170 polos.
¿Cuantos polos confecciono Beto ese día?Sabemos que por cada 12 polos que confecciona Ana, Beto hace 7.
Por cada 28 polos que confecciona Beto, Carla confecciona 15.
Y sabemos que Ana hizo 198 polos mas que Carla.
Definamos las variables:
C = polos que hizo Carla.
A = polos que hizo Ana
B = polos que hizo Beto.
Podemos escribir las ecuaciones:
A = C + 198
B = (7/19)*A
B = 28/(28 + 15)*C
Tenemos un sistema de ecuaciones, las segundas dos son las que obtenemos con los ratios que nos proporcionan.
Reemplazando la primer ecuacion en la segunda obtenemos el sistema:
B = (7/19)*(C + 198)
B = 28/(43)*C
De la segunda ecuacion podemos obtener:
C = B*(43/28)
Remplazando eso en la otra ecuacion obtenemos:
B = (7/19)*(B*(43/28)+ 198)
Ahora podemos encontrar el valor de B.
B = 0.57*B + 72.95
B - 0.57*B = 72.95
B*0.43 = 72.95
B = 72.95/0.43 = 169.6
Redondenado, B = 170, ese es el número de polos que Beto confecciono.
Aprende más sobre sistemas de ecuaciones:
https://brainly.com/question/13729904
#SPJ1
What is the electric field strength at a distance of 15 cm from a point charge that has 12
microcoulombs?
Please help
Please solve this...................
Answer:
2 1/12.
Step-by-step explanation:
To solve this you have to find the least common denominator. You know that 4 and 6 can both go into 12 so 5/6 becomes 10/12 and 3/4 becomes 9/12. So now all you have to do is subtract. 7 10/12 - 5 9/12 = 2 1/12.
I hope this helps you :D
Answer:
24/2
Step-by-step explanation:
Hope it is helpful.....
For the same random sample of adult women, with a sample mean height of x¯=64.3 inches and sample standard deviation of s=2.4 inches, use the Empirical Rule to determine the approximate percent of heights that lie between 59.5 inches and 69.1 inches.
Round your answer to the nearest whole number (percent).
Answer:
95%
Step-by-step explanation:
Mean , xbar = 64.3; standard deviation, s= 2.4
Using the empirical formula where ;
68% of the distribution is within 1 standard deviation from the mean ;
95% of the distribution is within 2 standard deviation from the mean
percent of heights that lie between 59.5 inches and 69.1 inches.
Number of standard deviations from the mean /
Z = (x - μ) / σ
(x - μ) / σ < Z < (x - μ) / σ
(59.5 - 64.3) / 2.4 < Z < (69.1 - 64.3) / 2.4
-2 < Z < 2
Thia is within 2 standard deviations of the means :
2 standard deviation form the mean = 95% according to the empirical rule.
6.
Circumference is the same as the area of a circle.
a. True
b. False
Answer:
TRUE
Step-by-step explanation:
i just know it :>
maurice has 20 strips of leather that are each 4 1/2 feet long. maurice wants to punch holes in each strip of leather that are 3/8 of a foot apart. maurice will use the expression shown to determine the number of hles to punch in each strip of leather.
4 1/2 ÷3/8
which expression will also give the number of holes that maurice will punch into each strip of leather?
2/9 ÷8/3
2/9÷3\8
9/2 . 8/3
9/2 . 3/8
Answer:
A
Step-by-step explanation:
Answer:
9/2 . 8/3
Step-by-step explanation: Both equations equal 12
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 6 = 472, find sin .
[?]
sin 0:
O
Simplify the fraction.
Answer:
\(sin(\theta) = \frac{\sqrt{17} }{7}\)
Step-by-step explanation:
We know that:
sin(x)^2 + cos(x)^2 = 1
And we know that:
\(cos(\theta) = \frac{4\sqrt{2}}{7} }\)
We want to find the value of the sine function evaluated in theta.
If we replace that in the first equation, we get:
\(sin(\theta)^2 + cos(\theta)^2 = 1\)
\(sin(\theta)^2 + (\frac{4*\sqrt{2} }{7}) ^2 = 1\)
\(sin(\theta)^2 + (\frac{4^2*\sqrt{2}^2 }{7^2}) = 1\)
\(sin(\theta)^2 + (\frac{16*2 }{49}) = 1\)
Now we can just isolate the sine part of that equation, so we get:
\(sin(\theta)^2 = - (\frac{16*2 }{49}) + 1 = \frac{-32}{49} + \frac{49}{49} = \frac{-32 + 49}{49} = \frac{17}{49}\)
\(sin(\theta) = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{\sqrt{49} } = \frac{\sqrt{17} }{7}\)
(We can't simplify the fraction anymore)
The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7
The length of one side of the equilateral triangle in terms of x is 6x.
To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.
The perimeter of a rectangle is given by the formula:
Perimeter of rectangle = 2(length + width)
In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:
Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x
We are told that the equilateral triangle has the same perimeter as the rectangle.
Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.
Therefore, we have:
Perimeter of equilateral triangle = 3(side length)
Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:
3(side length) = 18x
Dividing both sides of the equation by 3, we get:
side length = 6x
Hence, the length of one side of the equilateral triangle in terms of x is 6x.
For similar question on equilateral triangle.
https://brainly.com/question/28063031
#SPJ8
The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?
-5u = -3 help please
Step-by-step explanation:
-5u=-3u= -3/-5u=3/5hope it helps.
stay safe healthy and happy..At a local ice-crea cone as the ream store, 210 people were surveyed on whether they preferred cating ise eso indicated the nd 16. f the 2 10 people surveyed, 70 were adults and 140 preferred method of eating ice cream. For those cream from a cone or were children. Of the responses 150 indicated the surveyed, there was no association between age and ing ice cream.
Required:
Draw the tables shows the distribution of response.
Based on the information given, it should be noted that the table that shows the distribution will be:
Cone. Cup. Total
Adults 50. 20. 70
Children 100. 40. 140
Total 150. 60. 210
Solving the distribution of response:It should be noted that there wasn't any association between the age and preferred method of eating ice cream.
The ratio of cone to cup will be:
= 150/60 = 5/2 = 5:2
For adults, the total count is 70, therefore, using the ratio 5:2, this will be 50 and 20. For children, the total count is 140, therefore, using the ratio 5:2, this will be 100 and 40.
In conclusion, the correct option is C in the diagram attached.
Learn more about distribution table on:
https://brainly.com/question/9385303
The populations of two towns, town A and town B, are being compared. The population of town A is 4 x 10⁴ and the population of B is 2 x 10⁵. How many times greater is the population of town B than town A?
A. 0.2
B. 0.5
C. 2
D. 5
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
Listed below are pulse rates (beats per minute) from samples of adult males and females. Find the mean and median for each of the two samples and then compare the two sets of results. Does there appear to be a difference?
Male: 96 75 53 94 79 55 62 65 61 91 64 81 60 63 83
Female: 71 73 92 86 90 67 89 76 89 86 69 88 68 83 72
Answer:
Mean for Male=72.13
Median for male = 65
Mean for Female= 79.93
Median for female= 83
There are differences in the results of mean and median for the males' data compared to the mean and median results calculated from the females' data.
Step-by-step explanation:
Mean for Male: 96 75 53 94 79 55 62 65 61 91 64 81 60 63 83
X= 96, 75, 53, 94, 79, 55, 62, 65, 61, 91, 64, 81, 60, 63, 83
Total number of value, n=15
Mean is average value, which gives: addition of X, divided by n
Mean= (96+75+53 +94+ 79+ 55+ 62+ 65+ 61+ 91+ 64+ 81+ 60+ 63+ 83) / 15
Mean= 1082 / 15
Mean=72.13
Median for male: 96 75 53 94 79 55 62 65 61 91 64 81 60 63 83
The values should be rearranged in numerical order to get the middle value
53 55 60 61 62 63 64 65 75 79 81 83 91 94 96
The middle value is the 8th value since there are 15 values
Median = 65
Mean for Female: 71 73 92 86 90 67 89 76 89 86 69 88 68 83 72
X= 71 73 92 86 90 67 89 76 89 86 69 88 68 83 72
Total number of value, n=15
Mean is average value, which gives: addition of X, divided by n
Mean= (71 +73+ 92 +86 +90 +67 +89+ 76+ 89+ 86+ 69+ 88+ 68+ 83+ 72) / 15
Mean= 1199 / 15 = 79.93
Median for female: 71 73 92 86 90 67 89 76 89 86 69 88 68 83 72
The values should be rearranged in numerical order to get the middle value: 67 68 69 71 72 73 76 83 86 86 88 89 89 90 92
The middle value is the 8th value since there are 15 values
Median = 83
There are differences in the results of mean and median for the males' data compared to the mean and median results calculated from the females' data.
Jonah read 5 1/2 chapters in his book in 90 minutes how long did it take him to read one chapter
Answer:
around 16 minutes. you partition an hour and a half (all out) by what number of sections he read (5.5
Step-by-step explanation:
please help 3/4 divided by 1/8
Answer:
6
Step-by-step explanation:
please help 3/4 divided by 1/8
3/4 : 1/8 =
3/4 x 8 =
24/4 =
6
3,047.092 in expanded form.
Answer:
it would be-3,000.000+40.000+7.00+0.09+0.002
Step-by-step explanation:
Could someone please help me?
Answer:
Option B
Step-by-step explanation:
Use the formula
\(x = \frac{-b\±\sqrt{b^{2}-4ac } }{2a}\)
now input the values. In equation \(x^{2} - 5x + 7 = 0\), a = 1, b = -5 & c = 7
By taking positive sign we get,
\(x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}\)
⇒\(x = \frac{-(-5)+\sqrt{(-5)^{2}-4.1.7 } }{2.1}\)
⇒\(x = \frac{5+\sqrt{25-28 } }{2}\)
⇒\(x = \frac{5+\sqrt{-3 } }{2}\)
In the same way, by taking minus sign, we get \(x = \frac{5-\sqrt{-3 } }{2}\)
The price of an item has been reduced by 80%. The original price was $30. What is the price of the item now?
Answer:
6
Step-by-step explanation:
80% of 30 is 24 so the price now is 6
3 to the power of 5 = 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Step-by-step explanation:
3^6 = 3 * 3^5
= 3 * 243 = 729
Help ASAP thank you !,!,
Answer:
9.25x \(\geq\) 242
Step-by-step explanation:
The equation can be setup like this:
9.25x + 12L \(\geq\) 342.
We know how many times we mowed, 10.
We can now plug in 10 for L and get this as our equation:
9.25x + 12(10) \(\geq\) 342
Simplifying further gives us 9.25x \(\geq\) 242.
Cuantas Escuelas de administración hay ?
A recipe for 1 batch of muffins calls for 3/4 cups of almond milk. Rose has 6 cups of almond milk. How many batches of muffins could she make
Answer:
8
Step-by-step explanation:
3/4 cup leaves 1/4 cup from each cup
1/4+1/4+1/4=3/4
so it would be 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4=8 cups
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.
What was the percent of error, rounded to the nearest percent?
15%
20%
25%
30%
The solution is, the percent of error, rounded to the nearest percent is 25%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
now, we have to find the percent of error, rounded to the nearest percent.
so, we get,
Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
so, error = 750 - 600
= 150
so, we get,
the percent of error = 150 * 100 / 600
= 25%
Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ2
Write two mixed numbers that have a sum of 3 4/5.
Answer:
All you have to do is divide 3 4/5 by 2 which is 1 9/10
Step-by-step explanation:
help 7th grade math pls
Answer:
1,455 feet
Step-by-step explanation:
Step 1:
1 : 75 Ratio Inches to Feet
Step 2:
1 : 75 = 19.4 : x Equation
Answer:
x = 1,455 Multiply
Hope This Helps :)
Answer:
C : 1,455 ft
Step-by-step explanation:
We know that the model is 19 2/5 inches
so to find the actual height you would simply
multiply by 75 to get your answer in feet.
To make it simple, 19 2/5 = 19.4
19.4 x 75 = 1455
The actual height of the skyscraper is 1455ft.
22. A liver cell is about 20 um in diameter. How many liver cells would it take to form an end to end chain 10 in long?
The number of liver cells it would take to form an end to end chain 10 in long is 12,700 liver cells
Calculating quantityFrom the question, we are to determine how many liver cells it would take to form an end to end chain 10 in long
First, we will convert 10 in to meters
1 inch = 0.0254
∴ 10 inches = 0.254 m
From the giving information,
A liver cell is about 20 μm in diameter
∴ The number of liver cells it would take to form an end to end chain 10 in long = 0.254 m / 20 μm
= 0.254 m / (20 ×10⁻⁶) m (NOTE: 1μm = 10⁻⁶m)
= 12700
Hence, the number of liver cells it would take to form an end to end chain 10 in long is 12,700 liver cells
Learn more on Calculating quantity here: https://brainly.com/question/2021001
#SPJ1