The probability that the card drawn has a composite number written on it is 1/2
What is the probability that the card drawn has a composite number written on it?The sample space is given as
S = {1, 2....3}
The list of composite numbers from 1 to 12 is 4, 6, 8, 9, 10, 12
So, we have
Composite = 6
The probability that the card drawn has a composite number written on it is
P = Composite/Sample size
So, we have
P = 6/12
Simplify
P = 1/2
Hence, the probability that the card drawn has a composite number written on it is 1/2
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The data below is going to be plotted on a
line graph. Part of the grid is shown.
a) How many squares wide does the grid
need to be so that the data fits on the graph?
b) If the grid is 20 squares tall, then what
number should replace A to give the vertical
axis the best scale for plotting the data?
Time since start Distance from start
(minutes)
(km)
0
0
5
0.5
10
1.2
15
1.5
20
1.4
25
1.7
30
1.1
35
0.8
Distance from start (km)
A
0 5 10 15
Time since start (minutes)
(a )7 squares wide grid
(b) If the grid is 20 squares tall, then
number should replace A to give the vertical
axis the best scale for plotting the data . A = 0.1
According to the data,
(a) x = 35 one square represents five {calculate the width
there need 7 compartment in x axis. proportionally}
so the answer is 7 square wide
(b) The largest value of distance from store is 1.9 km
the grid is 20 square tall {when A = 0.1, 20× 0.1 = 2 km > 1.9 km}
so A = 0.1
The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.
What is the Grid Method of multiplication?The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.
Before you start teaching them to use the grid method for these slightly more advanced multiplications, you should first check that they:
- have a solid understanding of times tables;
- can multiply any number by 10;
- can multiply one-digit numbers by multiples of 10 (for example, 6 x
20, 8 x 70 and so on);
- can multiply two multiples of 10, (for instance, 40 x 90);
- can reliably add four numbers, some of which are three-digit.
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(a )7 squares wide grid
(b) If the grid is 20 squares tall, then
number should replace A to give the vertical
axis the best scale for plotting the data . A = 0.1
According to the data,
(a) x = 35 five squares are represented by one; determine the width.
In the X axis, 7 compartments are required. proportionally}
the response is 7 square broad.
(b) 1.9 km represents the furthest distance from the store.
When A = 0.1, the grid has 20 squares, so 0.1 = 2 km is greater than 1.9 km.
so A = 0.1
When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.
What is the multiplication grid method?
When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.
Prior to instructing students to perform these marginally more difficult multiplications using the grid method, you need make sure the following:
- possess a firm grasp of the times tables;
- is capable of ten times any number;
- has the ability to multiply one-digit values by multiples of 10 (for instance, 6 x).
8, 20, and so forth);
- is capable of multiplying two multiples of 10, such as 40 x 90;
— able to add four numbers, some of which are three digits, with reliability.
Jalissa's mom purchased coffee from the local coffee shop. The first cup of coffee was $4.25. Each refill is $2.25. She also decided to get a bagel for $3.15. If Jalissa's mom had 2 refills and a $0.50 discount as part of the rewards program, how much did she spend at the coffee shop?
Write a two-column proof.
Given: V is the midpoint of YW;
UY || XW.
Prove: ΔU V Y≅ ΔX V W
We reached the conclusion that ΔUVY≅ ΔXVW under SSA condition.
What is meant by the congruency of a triangle?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
Given: V is the midpoint of YW; UY || XW.
To Prove: ΔUVY≅ ΔXVW
YV = VW = (Given)UY = WX = (Given: parallel)∠UVY = ∠XVW (Inversely opposite angles)So, ΔUVY≅ ΔXVW under SSA contion.
(Refer the table shown below)
Therefore, ΔUVY≅ ΔXVW under SSA contion.
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The measures of two vertical angles are 32° and (2x + 2)°. Find the value of x
Answer:
x = 15
Step-by-step explanation:
Vertical angles, also called opposite angles sometimes, are angles that across from each other.
They are congruent meaning they have equal measurement
We can write the following equation based on these information to find the value of x :
2x + 2 = 32 subtract 2 from both sides
2x = 32 divide both sides by 2
x = 15
Is (4, -2) a solution to -6x + y = -26 ?
Answer: ask the teacher to break it down for u
Step-by-step explanation:
that simpile
y=6x-26, Although I didn't really get what were you looking for
help me ...........................................,.........................,.............
The values to the nearest tenth are:
a. 1. 43
b. 26. 41
c. 11. 69
d. 4. 57
e. 15. 77
How to determine the values
Given the equations;
a. 4. 186 - 2. 758
Find the difference
1. 428
1. 43
b. 72. 05 - 45. 64
Find the difference
26. 41
c. 82. 156 - 41. 31 - 29. 16
Find the difference
11. 686
11. 69
d. 17. 054 - 11. 65 - 0. 83
Find the difference
4. 574
4. 57
e. 29. 16 - 12. 48 - 0. 91
Find the difference
15. 77
Thus, the values to the nearest tenth are 1. 43, 26. 41 , 11. 69, 4. 57, 15. 77
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dos someone mind helping me with this? Thank you!
Answer:
50.24
Step-by-step explanation:
d equals 2r r=4 four squared equals 16 16 * π = 50.24
The weight of a gold bar varies directly with its volume. If a 40 cm³ bar weighs 772 grams, how much will a 100 cm³ bar weigh?
Density is a material's intrinsic (intrinsic) property that depends on how much it occupies a particular space and possibly on temperature.
Density is expressed in units of mass divided by volume. The International Standard Unit (SI) is the kilogram per cubic meter ("cube") or kg/m3. Some commonly used density units are grams per cubic centimeter, or we can also express it as g/cm3; it is more widely used in laboratories.
Mass and volume are related by a term called density.
The formula gives the relation between the mass and the density of an object:
Density = Mass/ Volume
We can extract the desired quantity from this formula, and here it is mass, so,
Mass = Density x Volume
So, by using the above information, 100 cm^3 bar weighs 1930gm.
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Simplify each complex fraction. 1/x y - 1/y² / 1/x²y - 1/x y²
The simplified form of given complex fraction is (1/xy - 1/y²) / (1/x²y - 1/xy²) = x
In this question,
we have been given a fraction 1/x y - 1/y² / 1/x²y - 1/x y²
We need to simplify given complex fraction.
First we simplify numerator.
1/x y - 1/y²
= y² - xy / xy³
= y(y - x) / xy³
= y - x / xy²
Now we simplify denominator.
1/x²y - 1/x y²
= xy² - x²y / x³y³
= xy(y - x) / x³y³
= y - x / x²y²
So given fraction would be,
1/x y - 1/y² / 1/x²y - 1/x y²
= y - x / xy² / y - x / x²y²
= (y - x / xy²) × (x²y² / y - x )
= x²y² / xy²
= x
Therefore, the simplified form of given complex fraction is 1/x y - 1/y² / 1/x²y - 1/x y² = x
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If the sixth term in a geometric sequence is 1/625
and the common ratio is 1/5 find the explicit formula of the sequence
aₙ = 5*(1/5)^(n - 1) is the explicit formula of the sequence.
What is Sequence and example ?
A sequence is a list of elements that has been arranged in a certain way. As an illustration, 3, 7, 11, 15,... is a sequence because it follows a pattern in which each phrase is produced by adding 4 to the one before it.The recursive relation for a geometric sequence is
aₙ = aₙ₋₁*R
where R is the common ratio.
We could write this in a general form as:
aₙ = a₁*(R)^(n - 1)
where a₁ is the first term of the sequence.
In this case we know that:
R = 1/5
And that:
a₆ = 1/625
Then we can replace these values in the above relation to get:
a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)
1/625 = a1*(1/3125)
(3125/625) = a1 = 5
Then the formula will be:
aₙ = 5*(1/5)^(n - 1)
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3 more than m as an equation
Answer:m+3
Step-by-step explanation:hope this helps
Solve each system by elimination or substitution.
2x + 4y = -8 , -5x + 4y = 6
The solution of the given system of equations is (-2, -1)
A system of equation can be solved using:
graphical methodsubstitution methodelimination methodThe given system of equations:
2x + 4y = -8 ............ (1)
-5x + 4y = 6 .............. (2)
Since the coefficients of y is the same in both equations, variable y will be immediately cancelled out if we use elimination method.
Substract equation (2) from equation (1)
2x + 4y = -8
-5x + 4y = 6 –
7x = -14
x = -2
Substitute x = -2 into equation (1):
2x + 4y = -8
2. (-2) + 4y = -8
-4 + 4y = -8
Add 4 to both sides
-4 + 4y + 4 = -8 + 4
4y = -4
y = -1
Hence, the solution is (-2, -1)
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find x when y is -1. y= -7/8x+17
Answer:
x is 20.57
Step-by-step explanation:
-1 minus 17 is -18. -18 divided by -7/8 is 20.57
Answer:
Step-by-step explanation:
-7/8x+17=-1
Now we need to find what +17 = -1
-1 - 17 = -18
Now we find out how many times -7/8 go into -18
-18 / (-7/8) = 20.57412857
So x = 20.57412857
As a fraction, that would be 144/7
Hope this helps ^^
Water molecules can form hydrogen bonds with each other because they are ____________ molecules.
Water molecules forming hydrogen bonds with one another. The partial negative charge on the O of one molecule can form a hydrogen bond with the partial positive charge on the hydrogens of other molecules. Water molecules are also attracted to other polar molecules and to ions.
Factor this quadratic completely. (Write step by step please)
[tex]Factor\ by\ grouping:\\\\2x^2+3x-35\\\\(2x-7)(x+5)\\\\2x-7=0\ and\ x+5=0\\\large\boxed{\therefore x=\frac{2}{7}\ and\ x=-5}[/tex]
Answer: 2x^2+3x-35=(x+5)(2x-7)
Step-by-step explanation:
[tex]2x^2+3x-35=\\2x^2+10x-7x-35=\\(2x)(x+5)-(7)(x+5)=\\(x+5)(2x-7)[/tex]
James makes 9x +6 per hour and Jimmy makes 3(2x + 15) per hour. How many hours must James
work to have more money than Jimmy?
Answer:
13 hours to earn the same amount and 14 hours to earn more
Step-by-step explanation:
CAN YOU PLEASE ANSWER EACH QUESTION JUST PUT THE ANSWER DOWN THATS ALL NO EXPLAINING JUST ANSWERS IM STRUGGLING
Answer:
Q.17 9 2/5
Q.18 5
Q.19 13
Step-by-step explanation:
How many hundreds are in the hundreds place in the number 243?
Answer:
2 hundreds
Step-by-step explanation:
there is the number 2 in place of the hundreds
Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run
7
77 kilometers per hour!" and Cameron says "I can run
100
100100 meters per minute!"
Which one is faster?
The person who is faster is Jeff.
How to illustrate the information?Jeff says "I can run 7 kilometers per hour!.
On the organs hand, it can be seen that Cameron says "I can run 100 meters per minute!"
It should be noted that that 1000km = 1 meter and that kilometers is higher than meter.
Therefore, the person who is faster is Jeff.
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Find the domain and range of each relation and determine whether it is a function.
(-3,4),(-1,2),(0,-2),(1,0),(2,2)
The domain and range of the give relation can be determined by listing the x values for the domain and listing the y values from the range. If each x corresponds to only one y, it is a function.
Domain of a relation refers to all the input values of the relation. Hence, domain is the set of all x coordinates. In the given data, the domain is:
{-3, -1, 0, 1, 2}
Range of a relation refers to all the output values of the relation. Hence, range is the set of all y coordinates. In the given data, the range is:
{4, 2, 0, -2}
In order for a relation to be a function, each x must correspond to only one value of y i.e., an x has one y value. For example, for a relation x = 4 and y = 1,2, hence it is not a function.
In our relation, each x value has only one y value, it is a function.
Mapping the relation can also give us the answer in a simpler way.
As there is one arrow leaving each x value, it is a function. (If two arrows are leaving an x value it is not a function.
Hence, for the relation given, Domain: {-3, -1, 0, 1, 2}, Range: {4, 2, 0, -2} and it is function.
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what is the outside area of a 3D object
Help asap please
Maria wanted to bring back 5 million grams of sand from her trip to the beach. Each grain of sand weighs approximately 6.7 x 10^-7 kg. How heavy is the bag of sand that Maria brings home?
a
Multiply 5 x (6.7 x 10^-7) = 33.5 x 10^-7 = 3.35 x 10^-6 kg
b
Divide (5,000,000 / 6.7 x 10^-7) = (5 x 10^6) / (6.7 x 10^-7) = (5 / 6.7) x (10^(6 - 7)) = .74 x 10^-1 = 0.074 kg
c
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + 7)) = 33.5 x 10^13 = 3.35 x 10^14 kg
d
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg
The weight of the bag she brings home is; D: Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg
How to use scientific notation?We are told that Maria wanted to bring back 5 million kg of sand from her trip to the beach. Thus;
Amount of sand she wanted to bring out = 5,000,000 kg = 5 * 10⁶ kg
Now, we are told that each grain of sand weighs 6.7 * 10⁻⁷ kg. Thus, the total amount of sand she brings home is;
(5 * 10⁶) * (6.7 * 10⁻⁷) = (5 * 6.7) * (10⁶ ⁻ ⁷) = 33.5 * 10⁻¹ = 3.35 kg
Thus, the correct answer is; Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg
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What is the value of p?
p-43
p
p+45°
Exterior angle theorem
Answer: p=178/3 degrees
Step-by-step explanation:
Based on the problem, I THINK these three angles add up to 180 degrees
(p-43)+(p)+(p+45)=180
p-43+p+p+45=180
p+p+p-43+45=180
3p+2=180
3p=178
p=178/3 degrees
Write the equation of a line that goes through (8,-3)
Horizontal line-
Vertical line-
I actually need help please explain not just answers. Is it just x=8 and y=-3?
Answer:
yes!
Step-by-step explanation:
that is the solution above
Simplify by combining like terms. 5+(4 g-7)
By combining the like term, the simplified form of the given expression 5+(4g-7) is 4g-2
Given,
The expression = 5+(4g-7)
Expand the terms by opening bracket
5+(4g-7)=5+4g-7
Rearrange the terms
5+4g-7= 4g+5-7
Combine like terms
4g+5-7= 4g-2
Hence, by combining the like term, the simplified form of the given expression 5+(4g-7) is 4g-2
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A human hair has an average diameter of 2.5 * 10 ^ - 5 meters. What is the maximum number of human hairs that could fit side by side (without overlapping) on a microscope slide that is 50 millimeters wide? Write your answer in scientific notation.
(A) 2 × 10 ^ 3
(B) 2 × 10 ^ 5
(D) 10 ^ - 3
(C) 2 × 10 ^ 6
===========================================
Explanation:
Let's find the width of the microscope slide in meters.
1000 mm = 1 m
1 mm = 1/1000 m
1 mm = 0.001 m
50*(1 mm) = 50*(0.001 m)
50 mm = 0.05 m
50 mm = 5 × 10^(-2) m
The microscope slide is 5 × 10^(-2) meters across. Divide this over the width of one hair.
5 × 10^(-2) ÷ 2.5 × 10^(-5)
(5/2.5) × 10^(-2 - (-5) )
2 × 10^(-2 + 5)
2 × 10^3
This converts to the number 2000. So we could have 2000 strands of hair side by side.
Answer:
(A) 2 * 10^3.
Step-by-step explanation:
50 millimeters = 0.05 m
= 5 * 10^-2 meters.
So, we divide this by the diameter of 1 hair:
= (5 * 10^-2) / (2.5 * 10 ^ - 5)
= (5/2.5) * (10/^-2 / 10^-5)
= 2 * 10^(-2-(-5))
= 2 * 10^3.
help me ............................,...........................................................
The values to the nearest tenth are:
a. 1. 43
b. 26. 41
c. 11. 69
d. 4. 57
e. 15. 77
How to determine the valuesGiven the equations;
a. 4. 186 - 2. 758
Find the difference
1. 428
1. 43
b. 72. 05 - 45. 64
Find the difference
26. 41
c. 82. 156 - 41. 31 - 29. 16
Find the difference
11. 686
11. 69
d. 17. 054 - 11. 65 - 0. 83
Find the difference
4. 574
4. 57
e. 29. 16 - 12. 48 - 0. 91
Find the difference
15. 77
Thus, the values to the nearest tenth are 1. 43, 26. 41 , 11. 69, 4. 57, 15. 77
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6.) The perimeter of a square is 12√5 cm. Find the length of each side and the area of the
square.
the perimeter Is equal to the length of each side moltiplicated for 4, so the length of each side Is: l=P/4=12√5/4=3√5.
The area of the square Is the square of the length of each side, so: A=12√5x12√5= 144x5 (at the moment i haven't a calculatour to use)
Look at the picture and help me find how many planes there are.
Answer:
I think B- 8
Stuck, need help please.
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work.
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.
The value of the angle x is equal to 53°
What is the Measure of the angle?
A) From the image attached, we can solve for the angles as follows;
m ∠RPB = 180 - 115 = 65°
Thus, the angle m∠x = 180° - 65° - 62°
= 53°
B) m∠RPB + m∠PRD = 180° (Internal angle between 2 parallel lines are equal).
Second line:
The 3 angles x, 62 and 65 degrees are all on the same straight line (AB), so they sum to 180 degrees.
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