According to the question, the probability of the event in which all the students went to prom except one. For this, the probability of the complement rule is used.
Out of [tex]100[/tex] students, [tex]91[/tex] went to prom.
So, the probability that students went to prom = [tex]\frac{91}{100} =0.91[/tex]
Now, P(both went to prom) = [tex](0.91)(0.91)=0.8281[/tex]
Using standard probability formula:
P(at least one did not went to prom) = 1-P(both went to prom)
[tex]1-0.8281=0.1719=17.2%[/tex]
The probability that at least one student did not went is [tex]17.2[/tex] percentage.
What is Probability?
The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.
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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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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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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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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 outside area of a 3D object
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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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
Khloe is a salesperson who sells computers at an electronics store. She is paid a $5
commission for every computer sale she makes and she also makes a guaranteed base
pay of $90 each day. Make a table of values and then write an equation for P, in
terms of a, representing Khloe's total pay on a day on which she sells a computers.
Number of Computers Sold Khloe's Daily Pay in Dollars
90 ✓
95 ✔
100✓
105 ✓
Answer: P =
By finding and evaluating a linear equation, we will complete the table:
Number of computers sold| Khloe's Daily pay in dollars:
90 $540
95 $565
100 $590
105 $615
How to complete the table?Here we know that Khloe is a salesperson who ells computers, and she gets $5 for each computer sold, plus a base pay of $90 each day.
Then if in a day she sells x computers, the amount that she wins that day is given by the linear function:
f(x) = $90 + $5*x
Now we want to complete the table:
Number of computers sold| Khloe's Daily pay in dollars:
90
95
100
105
To complete the table we just need to evaluate the linear function in these values of x, we will get:
f(90) = $90 + $5*90 = $540
f(95) = $90 + $5*95 = $565
f(100) = $90 + $5*100 = $590
f(105) = $90 + $*105 = $615
Now we just need to input these values in their correspondent place on the given table, we will get:
Number of computers sold| Khloe's Daily pay in dollars:
90 $540
95 $565
100 $590
105 $615
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What is the ph at the equivalence point of a weak base-strong acid titration?
a) ph < 7
b) ph = 7
c) ph > 7
d) ph = 14
(B) Between 0 and 7, best describes the pH at the equivalence point of a titration of a weak base with a strong acid.
What is Equivalence Point?A standardized acid/base titrant reactant and an unknown base/acid analyte reactant combine in a specific stoichiometry (molar ratio) to produce the respective conjugate products in an acid-base titration experiment. The analyte reactant is in excess early in the titration, and the titrant is limiting. When enough titrant is added, the analyte reactant is completely consumed and only products remain. This is the titration's equivalence point. At this point, the pH of the solution is determined by the relative strength of the starting reactants.So, consider the following example of ammonia (a weak base) titrated with HCl (a strong acid):
[tex]\mathrm{NH}_3+\mathrm{HCl} \rightarrow \mathrm{NH}_4^{+}+\mathrm{Cl}[/tex]Only the products remain at the equivalence point.
We can disregard the chloride anion. The ammonium cation, on the other hand, is a weak conjugate acid with sufficient acidic strength that we must consider it.It dissociates according to the following equilibrium, resulting in a mildly acidic pH of less than 7:
[tex]\begin{aligned}&\mathrm{NH}_4^{+} \leftrightharpoons H^{+}+\mathrm{NH}_3 \\&K_a=5.6 \times 10^{-10}\end{aligned}[/tex]
Therefore, (B) between 0 and 7, best describes the pH at the equivalence point of a titration of a weak base with a strong acid.
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The correct question is given below:
Which best describes the pH at the equivalence point of a titration of a weak base with a strong acid?
A. less than zero
B. between 0 and 7
C. close to 7.0
D. between 7 and 14
E. greater than 14
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.
3 more than m as an equation
Answer:m+3
Step-by-step explanation:hope this helps
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
How much more would $10,000 earn in 3 years compounded daily at 1.33%, than compounded semi-annually at 1.33%?
Answer:
$19,192,529,147.31
Step-by-step explanation:
Daily compounded = 10,000 * (1.0133)^(365*3) = $19,193,611,648.31
Semi-annually compounded = 10,000 * (1.0133)^(2*3) = $10,825.01
The total difference in cost is 19,193,611,648.31 - 10,825,01 which is $19,192,529,147.31
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 ^^
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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The dual-energy x-ray absorptiometry (dexa) is the gold standard measurement for body composition. (gold standard = most accurate form of measurement) true false
The DEXA is the most accurate form of body composition measurement.
What is an x-ray?
An X-ray is a rapid and painless technique which is commonly used to generate images of the internal parts of a human body. It is a very effective and convenient way of looking for bone damages and other problems.
Explanation
The statement 'the dual-energy x-ray absorptiometry (DEXA) is the gold standard measurement for body composition is true. Here, the gold standard means the most accurate form of measurement.
Hence, the given statement is true.
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An amusement park ride consists of four circular cars. The ride rotates at a rate of 0.25 revolution per second. In addition, each car rotates 0.5 revolution per second. If Jane is positioned at point P when the ride begins, what coordinates describe her position after 31 seconds?
Let ride rotate in clockwise direction ( cw ) then position will be co - ordinate ( 0, 3)
What does coordinate mean in this case?
To coordinate is to make plans for things to come together or to collaborate with another person to achieve a goal. Coordination occurs when all the details of a journey are planned. When you and a friend divide up a large science project and decide who will do what, that is an example of coordination.As per given problem ride rotates at a rate of .25 revolution /sec
so in every 4 sec it completes 1 full revolution .
In every 1 sec it revolves by 90° only .
In 28 sec car 1 complete 7 full revolution so , in next 3 sec
So , in next 3 sec it completes only 270.
Here car itself also rotates at the rate of .5 revolution .
So in 31 sec it it completes is full revolution .
& in next 1 second it completes 180° revolution .
Case - 1 Let ride rotate in counter clockwise ( ccw) then find position will be at co - ordinate ( 0, - 1 ) .
Case - 2 Let ride rotate in clockwise direction ( cw ) then position will be co - ordinate ( 0, 3)
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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?
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)
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:
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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the floor of an elevator in a building is 30.5 Ft above ground level. it travels down to the lower level of the building, where the floor is 10.75 feet below ground level . what distance has the elevators floor traveled ?
The distance travelled by the elevators floor is 41.25 feet.
The floor of the elevator was = 30.5 feet above the ground level.
Initial position = + 30.5 feet
Now, the elevator is 10.75 feet below the ground level.
Final position = - 10.75 feet.
So, the distance travelled by the floor of the elevator is:
Distance = + 30.5 feet - ( - 10.75 feet)
Distance = 30.5 feet + 10.75 feet
Distance = 41.25 feet.
Therefore, we get that, the distance travelled by the elevators floor is 41.25 feet.
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Solve each equation. Check each solution.4/x-2 = x-1/x-2
The solution of equation 4/x-2 = x-1/x-2 is x = 5
In this question, we have been given an equation.
4/x-2 = x-1/x-2
We need to find the solution of given equation.
4/x-2 = x-1/x-2
Here, denominator is same on both the sides.
So, we can cancel it from both the sides.
So, given equation would be,
4 = x - 1
4 + 1 = x
x = 5
We need to check above solution.
Substitute x = 5 in LHS of given equation.
LHS
= 4/x - 2
= 4/(5 - 2)
= 4/3
Also, substitute x = 5 in RHS of given equation.
RHS
= x - 1 / x - 2
= (5 - 1)/(5 - 2)
= 4/3
So, LHS = RHS
Therefore, the solution of equation 4/x-2 = x-1/x-2 is x = 5
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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
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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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
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
Look at the picture and help me find how many planes there are.
Answer:
I think B- 8
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:
