Answer:
As a fraction: 10/253
As a decimal: 0.0395 (3 sf)
As a percentage: 3.95% (3 sf)
Step-by-step explanation:
white socks = 10black socks = 6blue socks = 8Total number of socks = 24Therefore, the probability of picking a black sock is:
P(black) = 6/24
As the sock is NOT replaced, we now have one less black sock:
white socks = 10black socks = 5blue socks = 8Total number of socks = 23So the probability of picking a white sock:
P(white) = 10/23
As the sock is NOT replaced, we now have one less black sock and one less white sock:
white socks = 9black socks = 5blue socks = 8Total number of socks = 22So the probability of picking a blue sock:
P(blue) = 8/22
Therefore, P(black) and P(white) and P(blue) is:
6/24 x 10/23 x 8/22 = 480/12144 = 10/253 = 0.03952... = 3.95%
There are sto students in a school. If the number of boys and girls are in the ratio 4:3, find their numbers.
Answer:
number of boys = 320
number of girls = 240
Step-by-step explanation:
Total students in school = 560
Ratio of boys to girls = 4 : 3
Add the ratios together: 4 + 3 = 7
Divide the total by this number: 560 ÷ 7 = 80
Now multiply the original ratio numbers by 80 to find the numbers of boys and girls:
⇒ number of boys = 4 x 80 = 320
⇒ number of girls = 3 x 80 = 240
Total students are 560.
Let boys be 4x and girls 3x[tex]\\ \rm\hookrightarrow 4x+3x=560[/tex]
[tex]\\ \rm\hookrightarrow 7x=560[/tex]
[tex]\\ \rm\hookrightarrow x=80[/tex]
Boys°320Girls=240About what percent of the total area of Hal’s backyard is the area taken up by the patio, walkway, and garden? Round to the nearest whole percent
(Due by today)
Answer:
60%
Step-by-step explanation:
The total area is 136ft^2
We know this because the length of Hal's Backyard is 8+9 ft. This is a total of 17 ft in length. The width is 5+3 ft. This is a total of 8ft. Multiplying the length by the width gets us: 17ft*8ft = 136ft^2.
Now we need to find the ft^2 taken up by the padio, walkway, and garden. - We can see the image the patio is 5ft by 8ft. This is a total of 40ft^2.
- We can see the image of the garden is 3ft by 6ft. This is a total of 18ft^2
- We can see the image of the walkway is 3ft by 8ft. This is a total of 24ft^2
This adds up to a total of 82ft^2: 40ft^2+18ft^2+24ft^2 = 82ft^2
Now, to find the percentage, we divide the area of the patio, walkway, and garden by the total area:
[tex]\frac{82ft^2}{136ft^2}[/tex]
=
60%
So Hal's patio, walkway, and garden make up 60% of the total area of his backyard.
Hope this helps! :3
I need help pronto plssss!!!!
Answer:
-11
Step-by-step explanation:
See the picture for your understanding.
Since a and b are oppoiste angles of 80° and 60° respectively
a = 80°
b = 60°
Since sum of three angles in a triangle is 180°
x + 51 + 60° + 80° = 180°
x = -11
going as a ratio in simplest form: 500g to 2kg
a shop sells cat litter in 2o litre bags and in 40 litre bags.0ne day the shop has two special offers for the cat litter.
20 litres 3 bags for £6.50 40 litres 5 bags for £20
Which offer is the best value for money?
Define an action adder :: io () that reads a given number of integers from the key board, one per line, and displays their sum. For example:.
The program is an illustration of loops
What are loops?Loops are program statements that are used to perform repetition
The main programThe program written in Python, where comments are used to explain each line is as follows:
#This initializes sum to 0
summ = 0
#This gets input for the first number
num = int(input())
#This is repeated while num is not -1
while num!= -1:
#This calculates the sum
summ+=num
#This gets input for the num
num = int(input())
#This prints the sum
print(summ)
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A recipe calls for 2/3 cup of chopped walnuts. You chop 4 walnuts and get 1/4 of the amount you need. How much more of a cup of chopped walnuts do you need?
The requried number of cups of walnut still need for the recipe is 5/12 cups.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
A recipe calls for 2/3 cup of chopped walnuts. You chop 4 walnuts and get 1/4 of the amount you need, how much more of a cup of chopped walnuts do you need is to be determined.
Cup os chopped walnut still need = 2 / 3 - 1 / 4 = 5 / 12
Thus, the requried number of cups of walnut still need for the recipe is 5/12 cups.
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Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to the circle and goes through the point W?
According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:
y = -x + 6.
What is the equation of the circle?The equation of a circle of center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, we have that the center is at point (0,2), hence:
[tex]x^2 + (y - 2)^2 = r^2[/tex]
It goes through point (3,3), hence:
[tex]3^2 + (3 - 2)^2 = r^2[/tex]
[tex]r^2 = 10[/tex]
Hence, the equation is:
[tex]x^2 + (y - 2)^2 = 10[/tex]
What is the equation of the tangent line at point W?It is given by:
[tex]y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))[/tex]
Applying implicit differentiation, we have that:
[tex]2x + 2y\frac{dy}{dy} = 0[/tex]
[tex]\frac{dy}{dx} = -\frac{x}{y}[/tex]
Point W(3,3), hence:
[tex](x_0, y_0) = (3,3)[/tex]
[tex]\frac{dy}{dx} = -\frac{3}{3} = -1[/tex]
Hence the equation is:
y - 3 = -(x - 3).
y = -x + 6.
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Vocabulary Check
Write the definition of each.
5. bar graph
6. scale
Sarah goes up a hill and then down again the same way. On the way up she averages 2 miles per hour. On the way down she averages 4 miles per hour. What is Sarah’s average speed in miles per hour for the whole journey? Give an exact answer.
tommy went to frosty and bough fruit slushies for $0.75 each and cones for $1 each. He spent a total of $12.75 and bought 15 total items. How many of each item did he buy?
Answer:
9 fruit slushies; 6 cones
Step-by-step explanation:
Let f = number of fruit slushies.
Let c = number of cones.
c + f = 15
c + 0.75f = 12.75
0.25f = 2.25
f = 9
c + f = 15
c = 6
Answer: 9 fruit slushies; 6 cones
Is 52,800 cm equal to greater than or less than 1 km
Answer:
It is less than a km
Step-by-step explanation:
A km is 1,000 meters, while a meter is 100cm, meaning that a km is 100,000 cm, making 52.800cm less than a km
What’s the greatest common factor
Answer:
X
Step-by-step explanation:
The greatest common factor is x because x^2 doesn't have a 5 or a negative, and 5x only has one x. X is the only shared factor.
add, then write sum 7/10 + 2/10
[tex][Hello,BrainlyUser][/tex]
Answer:
9/10
Step-by-step explanation:
7/10 + 2/10 When add we need to have same denominator. Thus, this question have same denominator so we don't have to worry about that.
Now we have to add the numerator.
If you don't know what are numerator and denominator then let me tell you.
Numerator is the Top Number on the fraction
Denominator is the Bottom Number on the fraction.
In this question, Numerator = 2 ,Denominator = 10 and Numerator = 7 and Denominator = 10 .
Now Adding the numerator:
2 + 7 = 9
We don't add the denominator [ Stay the same]
9/10 is the Answer.
9/10 is already in simplest form.
[CloudBreeze]
solve p(x)= 2x^4-3x^3-6x^2+5x+6
Answer:
Three solutions were found :
x = 3/2 = 1.500
x = 2
x = -1
Step-by-step explanation:
Select the expression that represents the following statement: The sum of 6 and 8 multiplied by 4.
Answer:
It could be these
Step-by-step explanation:
• means times/multiplied, number right by parenthesis means multiply that by the answer of what is in the parenthesis
(6+8) • 4
4(6+8)
4 + (6•8)
Find the values of the variables for the parallelogram
mZ1 = 5y - 20
X=
Y=
Z=
(Type integers or decimals.)
Answer:
Step-by-step explanation:
Mr Sosha teaches 4 math classes, with the same number of students in each class. Of those students , 80 are sixth graders and 40 are fifth graders. Write an equation to determine whether there 22, 25, or 30 students in each class. How many are in each class?
Answer:
30
Step-by-step explanation:
80 + 40 = 120
120 represents the total students for all 4 classes. And since there is an even amount in each class...
120 / 4 = 30
So 30 would be your answer.
A and C are right angles. p =
degrees.
Answer
Find out the m∠p .
To prove
As in ΔDAB is a right triangle
Apply pythagorean theorem
Hypotenuse ² = Perpendicular ² + Base²
DB² = AB² + AD²
AB = 5 units
AD = 6 units
Put in the above formula
DB² = 5² + 6²
= 25 + 36
= 61
= 7.8 units (approx)
Now in ΔDCB is a right triangle .
By using the trignometric identity .
As DC = 4 units
DB = 7.8 units (approx)
Put all the values in the trignometric identity .
∠p = 59.15 ° (approx)
a fast food restaurant sold 63 burgers with cheese. if the ration of burgers sold with cheese compared to without cheese was 7 : 9, how many burgers did they sell total?
Answer:
441
Step-by-step explanation:
63 multiplied by 7 gives us 41
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 72 N acts on a certain object, the acceleration of the object is 9m/s^{2} . If the acceleration of the object becomes 5 /ms2 , what is the force?
Answer:
40N
Step-by-step explanation:
F=ma
1st case: 72N = m(9m/s^2)
m = 72N/(9m/s^2)
2nd case: F = m(5m/s^2)
m = F/(5m/s^2)
Since the mass is the same:
72N/(9m/s^2) = F/(5m/s^2)
F = 72N/(9m/s^2)/(5m/s^2)
F = (5/9)(72N)
F = 40N
Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor. 6 + 2 (this is for my brother dont know the answer lol im bad at math)
Answer:
2 (3+1)
Step-by-step explanation:
The 2 is distributed to both the 3 and 1, making the expression equivalent to 6+2. Don't know if this was what was being asked, so it may or may not be right.
Miguel wrote the predicted and residual values for a data set using the line of best fit y = 1. 82x – 4. 3. He left out two of the values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 2. 3, negative 0. 9, 1. 1, 3. 1. The third column is labeled predicted value with entries negative 2. 48, negative 0. 66, a, 2. 98. The fourth column is labeled residual value with entries 0. 18, negative 0. 24, negative 0. 06, b. Which represents the missing values of a and b? a = 1. 16 and b = 0. 12 a = 1. 16 and b = –0. 12 a = 0. 5 and b = 6. 08 a = 0. 5 and b = –6. 8.
The missing values of a and b in the table of Miguel, wrote the predicted and residual values is 1.16 and 0.12 respectively.
What is data table?Table is a way to represent the data of the two or more variable.To read the data from the table look for the value of one variable, and get the resultant value of other variable from the corresponding block.
Miguel wrote the predicted and residual values for a data set using the line of best fit with the following equation,
[tex]y = 1. 82x - 4. 3[/tex].
The image of the table for the data of Miguel is attached below. In this table he left out two of the values a and b
The table keeps the data,
The first column labeled x with entries 1, 2, 3, 4. The second column labeled given with entries -2. 3, negative 0.9, 1. 1, 3.1. The third column labeled predicted value with entries -2.48, -0.66, a, 2.98. The fourth column labeled residual value with entries 0.18, -0. 24, -0.06, b.The residue value is the difference of the value given and the value predicted.
The value of a is in the third column. Here, the given value is 1.1 and predicted value is -0.06. Thus, the residue value is,
[tex]a=1.1-(-0.06)\\a=1.16[/tex]
The value of b is in the third column. Here, the given value is 3.1 and the predicted value is 2.98. Thus, the residue value is,
[tex]b=3.1-2.98\\b=0.12[/tex]
Hence, the missing values of a and b in the table of Miguel, wrote the predicted and residual values is 1.16 and 0.12 respectively.
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Sam Kramer earns an annual salary of $38,900. He is paid semimonthly. His personal exemptions total $4826. The state income tax on taxable wages is 2% of the first $1000, 3% on the next $3000, 3. 5% on the nest $3000, and 4% on the amount over $7000. How much is deducted from Sam’s salary each pay period for state income tax?
Step-by-step explanation:
we pay taxes of the income without the exemptions.
so, the tax-interresting amount is
38,900 - 4826 = $34,074
2% of the first $1000 = $20
$34,074 - 1000 = $33,074
3% of the next $3000 = $90
$33,074 - 3000 = $30,074
3.5% of the next $3000 = $105
$30,074 - 3000 = $27,074
4% of $27,074 = $1,082.96
so, in total he pays state taxes over a year
20+90+105+1082.96 = $1,297.96
now, he gets paid semimonthly, that means twice a month.
his salary but also his deductions (incl. tax deductions) are all split across these 24 paychecks per year.
so, each state income tax deduction is then
$1,297.96 / 24 = $54.08 on every paycheck.
In circle F with m EFG = 48 and
EF = 15 units, find the length of arc EG.
Round to the nearest hundredth.
Answer:
12.57 units
Step-by-step explanation:
i put the explanation in the picture because i didnt know how to put it in here
The length of arc EG is 12.56 units.
What is an arc length of a circle?The arc length of a circle is the distance between two points on the curve of the circle.
We have,
Arc length = (angle/360) x (2πr)
Now,
From the circle,
EF = r = 15 units
m∠EFG = angle = 48
Substituting.
Arc length
= (angle/360) x (2πr)
= 48/360 x 2π x 15
= 12.56
Thus,
The length of arc EG is 12.56 units.
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I need help with this question i have for my statistics class
Answer:
Step-by-step explanation:
o because it has a higher percentage out of them all
Which table represents a relationship that is not a function?
А Q
B R
С S
D T
PLSS HELPP MEEE
Answer:
D) T
Step-by-step explanation:
A table that does not represent has two or more of the same x-values that map to different y-values (i.e. (3,4), (3,5), (3,6)).
Thus, given the information above, we can conclude that option D is the correct answer because Table T has (3,4), (3,-4) and (4,5), (4,-5), which are coordinates with same x-values but different y-values.
c) z squared when z = 0.5
Answer:
0.25
Step-by-step explanation:
(0.5) * (0.5) = 0.25
50% of 50% is 25% converted to decimal is 0.25.
Answer:
0.25
Step-by-step explanation:
Hi Squaring a number simply means multiplying the number by itself by once.
[tex]0.5^{2} =0.5 * 0.5\\= 0.25[/tex]
Thus the value of z = 0.25
There you go,
Mark me as brainliest pls
Dan here.
what. is the median of the data set: {24, 31, 12, 38, 12, 15}
Answer:
mas pra vc mandar
[tex]7385[/tex]
13. Eva took out a loan for $13,500 at an APR of 3.5% for 3 years.
a) Find the monthly payments
b) find the total amount paid
