Answer:
The probability to the nearest thousandth is 0.386
Step-by-step explanation:
Firstly, we will need to know the number of girls and the total number of students in the class.
We have the ratio as 3:5 for boys and girls with the number of boys being 18
What we have is thus;
3:5 = 18:g
3/5 = 18/g
3g = 90
g = 90/3
g = 30 girls
Thus, we have 18 boys and 30 girls with a total of 48 students.
The probability that the teacher selects a girl to write the question on the board is 30/48 = 5/8
Now, we intend selecting another girl to answer the question. This is like a probability without replacement. So this means that the number of girls we have now is 29 and the number of students we are selecting from is 47 students
Thus, the probability of selecting a girl to answer the question becomes 29/47
The joint probability is thus; 29/47 * 5/8 = 145/376 = 0.3856
To the nearest thousandth, we have 0.386
The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their preferred method to communicate with friends.
Based on the data, which of the following statements must be true?
(Choice A)
A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.
(Choice B)
A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends.
(Choice C)
A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.
(Choice D)
More people without internet access prefer using social networking than people with internet access.
Answer: c
Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.
Based on the data, Option (c) statements must be true. "A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."
What is internet speed?It is Mbps or kbps of data packets that can be transferred within a specified time.
Because 54% of the people who have internet access uses the text messaging method While 31 % people with no internet access uses the text messaging method.Thus A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.Learn more about internet speed,
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Which expression is equivalent to 2(5 − 3x)?
Answer:
10-6x
Step-by-step explanation:
Hope this helped, have a great day! (mark brainliest if you want to help XD)
Answer:
10 - 6x
as 2 x 5= 10
and 2 x 3 = 6
10 - 6x
Step-by-step explanation:
Maria lines up fabric squares in rows to make a quilt. She uses the same repeating pattern for all the rows. The rule is "Red, White, Blue, White, Floral." If there are 125 quilt squares in the quilt, how many floral quilt squares will Maria need? Enter your answer in the box.
Answer: 15
Step-by-step explanation:
the patern is
red
white
blue
white
floral.
So in each group of 5, we have one floral quilt square.
now, in 125 quilt squares, we want to find the number of groups of 5 that we can make with thos 125 quilt squares.
This is 125/5 = 15
So we have 15 groups of 5 quilt square.
And we know that in each of those groups, we have one floral quilt square.
So we have a total of 15*1 = 15 floral quilt squars.
Answer: 25
Step-by-step explanation: 125 quilt square in group of 5
125/5 = 25
Each group of 5 os 1 floral quilt so there are 25 floral quilts in total
I need help plz help me
Answer: 2538
Step-by-step explanation:
12*21/2
126
126/1*41/2
2538
Answer:
l*b*h=2583m²
Step-by-step explanation:
note no need units, so no need metre square or m²
A dvd movie originally cost $24.99. It’s current price is $19.99. What is the percent of change rounded to the nearest percent?
Answer:
I think it would be 20%.
Step-by-step explanation:
$5 was taken off the original price, which is about 1/5 of $24.99. So, since 1/5 as a percent is 20%, I think the answer would be 20%.
Jason runs 440 yards in 75 seconds.at this rate,how many minutes does it take him to run a mile
Answer:
5 minutes
Step-by-step explanation:
Do a proportion
440/75= 1760/x
cross multiply
440x=1760(75)
simplify
132000/440
what’s the answer for this question
Answer:
What is the perimeter? 89 cm
Step-by-step explanation:
(35.2 + 11.9) + (35.2 + 12.7)
= 47.1 + 47.9
= 89 cm
16x^4y^2(9x^3y^4) fully simply
Answer:
[tex]=144x^7y^6[/tex]
Step-by-step explanation:
[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]
Answer:
Step-by-step explanation:
2 x(4−3xy^2)/y
Which is the solution to
2x − y = 1
4x + y = 11 ?
A) (−2, 3)
B) (2, 3)
C) (3, 2)
D) (3, −2)
Answer:
B
Step-by-step explanation:
2 x 2 = 4 - 3 = 1
4 x 2 = 8 + 3 = 11
A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can a car travel using 1 gallon of gas?
Answer:
16 miles
Step-by-step explanation:
In order to find one gallon of gas, you multiply the 64 by 1/64 which will get you to 1 whole. Now you multiply the 64 by the 1/4 miles which will give you 16 miles.
Need question help here!
Answer:
C
Step-by-step explanation:
Hi there! I need some help with this question, thx!
In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."
Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60
Which statement is true?
A. Every term in Pattern B is 3 times the corresponding term in Pattern A.
B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.
C. Every term in Pattern B is 5 times the corresponding term in Pattern A.
D. Every term in Pattern B is 13 the corresponding term in Pattern A.
Answer:
sky im going with A
Step-by-step explanation:
Mario está aprendiendo a manejar un auto. El lunes 6 de abril ,el práctico 2 horas y cada día siguiente práctico 30 minutos más que el día anterior. ¿Cual fue la fecha del día que práctico 5 horas?
Answer:
Domingo 12 de abril
Step-by-step explanatio
El primer dia Lunes fueron 2 horas Martes fueron 30 munitos mas, ya son 2:30 Miercoles fueron otros 30 minutos mas, son 3 horas. Jueves y Vierns es una hora mas, porque cada dia es 30 minutos. que ya son 4 horas. y el sabado son 30 mas, y el domingo el practica 5 horas
PLEASE HELP I"M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to log Subscript 12 Baseline StartFraction x Superscript 4 Baseline StartRoot x cubed minus 2 EndRoot Over (x + 1) Superscript 5 Baseline EndFraction?
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x times 1)
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline StartFraction x cubed Over 2 EndFraction minus 5 log Subscript 12 Baseline 1
log Subscript 12 Baseline 4 x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x) + 1
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Answer:
[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Step-by-step explanation:
Given the expression:
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]
first apply the division law of logarithm:
[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]
Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]
[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
Answer:
Its D on edge
Step-by-step explanation:
A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?
Answer:
1539.4 m³
Step-by-step explanation:
The volume of a cylinder is given by the formula ...
V = πr²h . . . . . where r is half the diameter and h is the height
__
Filling in the given values, we find the volume to be ...
V = π(7 m)²(10 m) = 490π m² ≈ 1539.4 m³
The volume is about 1539.4 m³.
What is the value of x in the equation in (x+6)- in (2x-1)
Answer:
x = 7
Step-by-step explanation:
(x + 6) - (2x-1)
= x - 2x + 6 + 1
= -x + 7
x = 7
Squaring both sides of an equation is irreversible. Is Cubing both sides of an equation reversible? Provide numerical examples to help support your answer.
Answer:
Cubing both sides of an equation is reversible.Step-by-step explanation:
Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.
In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example
[tex]\sqrt[3]{x} =-1[/tex]
We cube both sides
[tex](\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1[/tex]
If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side
[tex]\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1[/tex]
There you have it, cubing both sides of an equation is reversible.
63x−8≤23 OR −4x+26≥6
Answer:
63x-8<23
63x<23+8
63x < 31
63. 63
x < 0.492
37 points! The square root of 83 can be plotted on the number line below.
Answer:
9.1 is the nearest tenth
9.11 to the nearest hundredth
just slightly to the right of 9.1
Step-by-step explanation:
sqrt(83)
sqrt(81) = 9
So we know that it is slightly greater than 9
9.1*9.1 =81.81
9.2*9.2=84.64
9.1 is closer
9.11 * 9.11 =82.9921
9.12 * 9.12 =83.1744
9.11 is closer
Answer:
9.1 is the nearest tenth
9.11 to the nearest hundred
to the right of 9.1
Step-by-step explanation:yi did it on i ready6
6) Troy has a garden that is 17 feet by 14 feet. He is planning on planting some
bulbs in the garden. Each bulb requires 2 square feet of space. How many bulbs
can Troy plant in the garden? *
119
Answer:
140
Step-by-step explanation:
first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140
what is 24% of 135??
Answer:
32.4
135 x 24% = 135 x 0.24 = 32.4
Step-by-step explanation:
Answer:
32.4
Step-by-step explanation:
135 times 24 dived by 100
At the end of a snow storm, Caroline saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Caroline's lawn, in inches, can be modeled by the function S(t)=-0.75t+15,S(t)=−0.75t+15, where tt is the time, in hours, after the snow stopped falling. What is the slope of the function and what is its interpretation in the context of the problem?
Answer:
-15
Step-by-step explanation:
Question 3- Please help. Find the area of the sector for the image below:
Answer:
The answer is 16.8 cm^ 2.
What are the three cues to remember for dribbling with mature form in basketball?
Answer:
Thee three cues are
1. Control the ball with he finger-pads
2. Always dribble at waist level
3. One's eyes should be up to see the team members and defenders while dribbling
Step-by-step explanation:
To dribble a basketball requires, keeping one's head up to see the on going game around. Endeavor to shield defenders from the ball with the aid of the non dribbling arm and body
When bouncing the ball, keep it low, and extend the arms and snap the wrists, while controlling the ball with your fingers rather than the palm
The three cues are
1. Handle the ball with the finger pads, not with the palm of the hands nor with the fingertips
2. Dribbling should be done only at the waist level
3. When dribbling a ball, one should keep his eyes up to see the game ongoing.
I am not sure if this is right can someone check it ASAP please
Answer:
x=10
Step-by-step explanation:
3(4x-12) = 84
Divide each side by 3
3/3(4x-12) = 84/3
4x-12 =28
Add 12 to each side
4x-12+12 = 28+12
4x= 40
Divide each side by 4
4x/4 = 40/4
x = 10
A bicycle shop is selling $500.00 bikes. If the sales tax is 7%, what will the final cost of the bike be?
Answer:
The final cost of bike = $535.00Step-by-step explanation:
Cost of bikes = $500.00
If the sales tax is 7%, the amount paid as tax will be 7% of the total selling price of bike;
7% of $500.00
= [tex]\frac{7}{100} * 500\\[/tex]
= $35
The final cost of bike = initial selling price + amount paid as tax
The final cost of bike = $500.00 + $35.00
The final cost of bike = $535.00
Eduardo is filling containers with water to make lemonade. He filled 4 containers in 29 minutes, and each container holds 8.7 gallons. At what rate did Eduardo fill the containers?
Answer: 7.25 minutes per container.
Step-by-step explanation:
Your looking for a ratio of time per container. 29/4 is the given ratio it was simplified to 7.25/1. Or simply 29 divided my 4.
how many grams each of a 10% salt solution and a 5% salt solution must be mixed in order to obtain 400g of an 8% solution?
I dont want to give you the exact equation so u wont be copying- here is an example.
let x=grams of salt that you already have
let y=grams of salt that need to be added
let z=total amount of salt in the solution after adding salt
We know that salt makes up 25% of the 400g solution, and that 25% can also be written as .25. Thus, we can write an equation to determine x's value:
x=.25*400g
x=100g
Therefore, there are 100 grams of salt already in the solution.
Now that we've determined x's value, we'll bring z into the equation. There are two ways to calculate z. z is equivalent to the sum of x and y. Remember, x is equal to 100 grams. So, z's equation is as follows:
z=100g+y
The other way to calculate z is as a percentage of the final solution. As the question states, we want the final solution to have a salt content of 40% (which we can write as .40). The final amount of solution can be written as below:
400g+y=total amount of solution after adding salt.
This is because we are adding y (the amount of salt needed to bring the salt content to 40 percent)to the amount of solution which we already have.
Therefore, the second way to express z is below:
z=.40*(400g+y)
After we have two equations for z, we can set them equal to each other as follows:
100g+y=.40*(400g+y)
We then can distribute the .40 over the parenthesis.
100g+y=160g+.40y
And then we can subtract 100 grams from both sides of the equation.
y=60g+.40y
Next, we subtract .40 y from both sides of the equation to get y on one side.
.6y=60g
Finally, we can divide both sides by .6 to isolate y.
y=100g
Therefore, you must add 100g of salt to the solution to make it 40 percent salt.
DID I DO IT RIGHTT?? pls tell me
The expression of 20-31 gives us the distance between the numbers 20 and 31 write a similar expression for the distance between -5 and -15 and simplify it.
Answer:
After simplifying, our answer is 10
Step-by-step explanation:
20-31 gives the distance between 20 and 30
Now, for -5 and -15
The similar expression to write will be -5-(-15)
Simplifying this, we have;
That would be -5+15 = 10
2x-y<5
[tex]2x - y \leqslant 5[/tex]
Answer:
Step-by-step explanation:
Please be sure to include the directions when you post a question. I will assume you want to graph this inequality 2x - y ≤ 5.
2x - y = 5 is a linear function whose graph is that of a straight line. Because of the ≤ sign, the solution set includes all points on this straight line PLUS all points below it.
x - intercept: Set y = 0 in 2x - y = 5 and solve the resulting equation for x:
2x - 0 = 5. Then x = 5/2, and the x-intercept is (5/2, 0).
y-intercept: Set x = 0 and solve for y: 2(0) - y = 5: y = -5. Then the y-intercept is (0, -5).
Plot both points (5/2, 0) and (0, -5). Draw a solid line through them. Shade the area BELOW this line.