Answer:
[tex]\boxed{\frac{1}{25} \text { OR } 0.04}}[/tex]
Step-by-step explanation:
[tex]5^{-2}\\\\\text {Apply Negative Exponent Rule: } a^{-b}=\frac{1}{a^b}\\\\5^{-2}=\frac{1}{5^2}=\boxed{{\frac{1}{25}} \text { OR } 0.04}[/tex]
The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.
6. To decide whether the rain and the train running late are dependent or independent events, first define the two events and then write their probabilities as decimals. (3 points) Let event A = ________________________. P(A) = ______. Let event B = ________________________. P(B) = ______. A and B = ________________________. P(A and B) = ______. 7. Use the probabilities from question 6 to decide whether the rain and the train running late are independent or dependent events. (2 points: 1 point for the correct math, 1 point for the conclusion)
Answer:
Step-by-step explanation:
Let A= probability it rains
P(A)=0.2
Let B be the probability that the train is late = 0.05
P(B)=0.05
A and B is A∩B= the probability it rains and the bus is late =0.01
probability pf (A and B)=0.01
7) independent events are related by expression:
A∩B=P(A)*P(B)
=0.2*0.05=0.01
check :
p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2
the two event are independent
Answer:
The two are independent.
Step-by-step explanation:
Find the area. Round to the nearest tenth.
6 in.
5 in.
9 in.
in.
Answer:
131 1/4 in.²
Step-by-step explanation:
To find the area of the figure, you would have to divide the figure into two parts. The figure can be divided into two rectangles.
Rectangle 1
The length is 11 3/4 in. The width is 6 in.
A = lw
A = (11 3/4 in.)(6 in.)
A = 70 1/2 in.²
Rectangle 2
The length is 9 in. The width is 6 3/4 in.
A = lw
A = (9 in.)(6 3/4 in.)
A = 60 3/4 in.²
Add the two areas together.
70 1/2 in.² + 60 3/4 in.² = 131 1/4 in.²
what is the coefficient of x in the equation of 32+2x=10
solve after finding the coefficient
Answer:
x= -11
Step-by-step explanation:
the coefficient is variable that appears before a number . bearing this in mind, the coefficient of x is therefore 2 .
the value of x is:
>32+2x=10
>2x=10-32
>2x= -22
>x= -11
Answer:
Step-by-step explanation:
Coefficient of x = 2
32 + 2x = 10
Subtract 32 from both side
32 + 2x -32 = 10 - 32
2x = - 22
Divide both sides by 2
2x/2 = -22/2
x = -11
cual es el area de un rectangulo
Answer:
Use this formula:
a = b * h
Where: "a", the area of the rectangle is equal to its "b" (base), multiplied by "h" (height)
Step-by-step explanation:
Usa esta formula:
a = b * h
Donde: "a", el área del rectángulo es igual a su "b" (base), multiplicado por "h" (su altura).
What is the decimal equivalent of 16/3 ?
A. 5.3
B. 0.1875
C. 53333...
D. 16.3
Answer:
c. 5.333...
Step-by-step explanation:
When converting fractions into decimals, all you have to do is that you have to divide the numerator by the denominator. In this case, we will get 16 divided by 3. If we do this, we will get 5 and 1/3. One third in decimals is 0.3333... so the answer is 5.333...
The decimal 5.33 will be equivalent to 16/3 so option (A) will be correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the fraction of 16/3
So divide 16 by 3
16/3 = (15 + 1 )3
⇒ 15/3 + 1/3
⇒ 5 + 0.333
⇒5.3
Hence "The decimal 5.33 will be equivalent to 16/3".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.[tex]Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.[/tex]
Hello, please consider the following.
[tex]x^2 + 10x + 25 = 8\\\\\text{\bf We can notice that } x^2+10x+25=(x+5)^2 \text{ so}\\\\x^2 + 10x + 25 = (x+5)^2=8\\\\\text{\bf We take the root.}\\\\x+5=\pm\sqrt{8}\\\\\text{\bf We subtract 5}\\\\\boxed{x=-5-\sqrt{8}} \ \ or \ \ x=-5+\sqrt{8}[/tex]
In the box, you can find the smallest solution.
Thank you.
Kelly bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent.
Answer:
$1.60 a crate
Step-by-step explanation:
t= 95.94/(6x20)
(6x20)= 60
95.94/60
$1.60
Answer:
Step-by-step explanation:
i) Cost per box = cost of a crate ÷ Number of boxes in the crate
b = 95.94 ÷ 6
b = $ 15.99
ii) Cost per tile = Cost per box ÷ Number of tiles in a box
t = b ÷ 20
t = 15.99 ÷20
t = $ 0.7995
Las dos compañías cobran el mismo precio por viaje, cada viaje vale $100.00 pesos, los pobladores dicen que uno de los camiones tiene una capacidad de 3 toneladas y el otro de 4 toneladas, en total se hicieron 23 viajes y se transportaron 80 toneladas de tierra.
Which equation can be used to find x, the length of the hypotenuse of the right triangle?
Answer:
[tex] \boxed{\sf {18}^{2} + {24}^{2} = {x}^{2}} [/tex]
To Find:
Length of hypotenuse of the right triangle i.e. x
Step-by-step explanation:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
[tex] \therefore [/tex]
[tex] \sf \implies {18}^{2} + {24}^{2} = {x}^{2} [/tex]
Answer:
18²+24²=x²
Step-by-step explanation:
to answer this question you must know Pythagorean theorem
a^ 2+b^2 =c^2
a and b stands for the sides with length 24 and 18 and c stands for the HYPOTENUSE . so the correct answer for the above question is 18²+24²=x²
B) What is the value of f(n-1)?
Answer:
Add information
Step-by-step explanation:
According to mu understanding, this is the part (B) of the question. If you could provide the first part, I can complete it because some useful information is left out.
2. Calculate the amount of gallons needed to fill the pool shown below. (3 points)
Answer:
52,322 gal
Step-by-step explanation:
will make it simple and short.
vol = ( a + b ) * h/2 times the depth
vol = (10 + 4) x (40/2) x 30 = 8400 cu. ft. ---------->>> then convert to gal.
6.2288 gal
vol = 8400cu.ft. x ----------------- = 52,322 gal
1 cu.ft.
A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.
Answer:
5/6 pounds
Step-by-step explanation:
A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.
Given the following :
Amount of corn meal purchased = 5 pounds
Number of people to share = 6 families
Assume, it is divided equally among them;
Then; each family gets ;
(Pounds of corn meal purchased/number of families) ;
5 / 6 pounds of corn meal will be distributed to each family.
What is a discrete probability distribution? What are the two conditions that determine a probability distribution? What is a discrete probability distribution? Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above
Answer:
The answers to the question above are given below:
Step-by-step explanation:
Question: What is a discrete probability distribution?
Answer
A discrete distribution is very important in data research as it shows in tabular form the probabilities that can be found in a list of distribution values and their individual probabilities in counted data. Usually, from the pool of distribution of numbers, the discrete distribution shows the probability of having countable numbers out of the pool.
Question: Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above
The correct answer is: option B "discrete probability distribution lists each possible value a random variable can assume, together with its probability."
Question: What are the two conditions that determine a probability distribution?
The correct answer is:
1. Since each value may not be zero, each probability must include between 0 and 1.
2. When probabilities are totaled, it must give 1.
A set of circular cups are placed so that they are touching rim to rim, as close together as possible. It is not possible to fit more cups inside the group if the longest straight line is five cups long, how many cups are there altogether?
Answer:
The total number of cups in arranged in an hexagonal area = 19 cups
Step-by-step explanation:
The pack the most circles within an area, the arrangement with the densest packing is the hexagonal lattice structure similar to the bee's honeycomb as has been proved Gauss and Fejes Toth.
Therefore, we pack the circles in an hexagonal lattice structure in an assumed hexagonal area where we have;
The longest straight line is five cups the next on either side are four cups and the final line on either side has three cups
The total number of cups = 3 + 4 + 5 + 4 + 3 = 19 cups
The total number of cups = 19 cups.
There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members to be seventh graders. How many more seventh-graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth-graders remains the same.)
Answer: Please Give Brainliest. Thank You!
10 more
The number of seventh-graders that must join the club in order to meet the president's wishes is 10.
Since there are 45 eighth graders and 20 seventh graders in a school club and the president of this club wants 40% of the club’s members to be seventh graders, we need to find the number of seventh graders that will be added to the school club to make their percentage 40 %.
Let the number of seventh-graders to be added be x.
So, the new number of seventh-graders is 20 + x and the new number of people in the club is 45 + 20 + x = 65 + x
Thus, the percentage of seventh graders in the club is thus
[tex]\frac{20 + x}{65 + x} X 100[/tex] %
Since this percentage equals 40 %, we have that
[tex]\frac{20 + x}{65 + x} X 100[/tex]% = 40 %
[tex]\frac{20 + x}{65 + x} = \frac{40}{100} \\\frac{20 + x}{65 + x} = 0.4[/tex]
Cross-multiplying we have
[tex]20 + x = 0.4(65 + x)[/tex]
Expanding the bracket, we have
[tex]20 + x = 26 + 0.4x[/tex]
Subtracting 20 from both sides we have
[tex]x = 26 - 20 + 0.4x\\x = 6 + 0.4x[/tex]
Subtracting 0.4x from both sides, we have
[tex]x - 0.4x = 6\\0.6x = 6[/tex]
dividing both sides by 0.6, we have
x = 6/0.6
x = 10
So, the number of seventh-graders that must join the club in order to meet the president's wishes is 10.
Learn more about percentages here:
https://brainly.com/question/23127071
A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests. The system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.
Answer:
Answer on Edmentum! :)
Step-by-step explanation:
Hope this helps!
The number of children were 172 and number of adults were 278.
What is linear equation?An equation that makes a straight line when it is graphed.
Given that, A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests
According to question,
12x+25y = 9014
x+y = 450
Solving using elimination method, we get,
x = 172 and y = 278
Hence, The number of children were 172 and number of adults were 278.
For more references on linear equation, click;
https://brainly.com/question/11897796
#SPJ5
New York City is a popular feild trip destination. This year the senior
class at High School A and the senior class at High School B both
planned trips there. The senior class at High School A rented and filled
8 vans and 4 buses with 220 students. High School B rented and filled 12 vans and 4 buses with 228 students. Every van had the same
number of students in it as did the buses. How many students can a
van carry? How many students can a bus carry?
Step-by-step explanation: look so if you have
shcool A its 8v+4b=12
and
School B: 12v+4b= 16
since both classes used 4 busses we can use elimination by subtracting the A class Equation from the b class equation to solve from v for its value Then, use either equation and the now found value for v to solve for b.
You should find part of the process to be
12v+4b-(8v+4b)=12-16 which shows the van holds only a few people even before continuing the solution.
Answer -4
WILL MARK BRAINLIEST!!!!20 POINTS!!!!URGENT!!!
Answer:
the firsts third and last one
Step-by-step explanation:
hope this helped
Rebecca is saving money to purchase a laptop, which costs $1,099.51. She has already saved $354.20 and plans to continue
saving $50.60 per week. Which inequality could be used to find w, the number of weeks that Rebecca must save in order to
purchase the laptop?
OA $354.20 + $50.60w < $1,099.51
OB. $354.20w+ $50.60 $1,099.51
OC $354.20 + $50.60w< $1,099.51
OD. $354.20 + $50.60w $1,099.51
Answer:
354.20 + 50.60w ≥ 1099.51
Step-by-step explanation:
354.20 + 50.60w ≥ 1099.51
Ten years ago. Phukan is 18 years younger than Namwan.Currently, the sum of their ages is 100 years. Find their current ages.
WRITE AS AN EQUATION
Step-by-step explanation:
phukan = x
Nanwan = y
let this be a simultaneous equation.
x - y = 18.... equation i
x + y = 100.... equation ii
subtract equation i from equation ii
= 2y = 118
y = 59
substitute y = 59 in equation ii to get x
x + 59 = 100
x = 100- 59
x = 41
Nanwan = 59, Phukan = 41
Answer:
Nawman = 59 years
Phukan = 41 years
Step-by-step explanation:
P = N - 18
P + N = 100
(N - 18) + N = 100
2N = 100 + 18
2N = 118
N = 118 : 2
N = 59 years
P = (59 - 18) years
P = 41 years
Pls answer I really need help
Brainlist and thank you will be the reward thank you so much!!!
Answer:
0.667 ✅Step-by-step explanation:
This is best solved using a proportion.
The formula is soy/vinegar = soy/vinegar where one of these is a variable.
Here we have:
[tex]\frac{150}{100} = \frac{1}{x}[/tex]
Now, we solve this by cross multiplying.
150x = 100
Dividing both sides by x, we get x = 2/3 or about 0.667.
Checking:
[tex]\frac{150}{100} = \frac{1}{0.667}[/tex]
1.5 = 1.5 ✅
I'm always happy to help :)Katherine's class is selling raffle tickets for $3 to raise money for charity. Katherine's class raised $504. Which equation would you use to find the number of tickets sold?
Answer:
3T=504
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared?
Answer:
[tex]\dfrac{1}{6561}[/tex]
Step-by-step explanation:
Given the expression [tex][(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}[/tex], Using the laws of indices to simplify the expression. The following laws will be applicable;
[tex]a^m*a^n = a^{m+n}\\(a^m)^n = a^{mn}\\[/tex]
[tex]a^{-m} = 1/a^m[/tex]
Given [tex][(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}[/tex]
open the parenthesis
[tex]= (2^{-2})^{-3}(3^{4})^{-3}* (2^{-3})^2(3^2)^2\\\\= 2^{-2*-3}* 3^{4*-3} * 2^{-3*2} * 3^{2*2}\\\\= 2^6 * 3^{-12} * 2^{-6} * 3^4\\\\collecting \ like \ terms\\\\= 2^6 * 2^{-6} * 3^{-12} * 3^4\\\\= 2^{6-6} * 3^{-12+4}\\\\= 2^0 * 3^{-8}\\\\= 1 * \frac{1}{3^8}\\ \\= \frac{1}{6561}[/tex]
5/9 of a piece of metal has a mass of 7 kg. What is
the mass of the piece of metal?
No wrong answer or else I will report
Answer:
The mass of the metal is 12.6 kgStep-by-step explanation:
Let the mass of the metal be x
From the question
5/9 of the metal is 7kg
That's
[tex] \frac{5}{9} x = 7[/tex]
Multiply through by 9
We have
5x = 7 × 9
5x = 63
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{63}{5} [/tex]
We have the final answer as
x = 12.6 kg
The mass of the metal is 12.6 kgHope this helps you
A hiker at a state park climbs to a ridge 1,220 feet higher than where she left the car. Then she hikes 670 feet down a steep cliff. How many feet above the car is the hiker now? The hiker is feet above the car now.
Answer:
549 ft
Step-by-step explanation:
take 670ft away from 1,220 ft ( not all the way sure of I'm right)
Answer:
550
Step-by-step explanation:
1,220+(-670)= 550
Thank you! :)
Work out the value of angle x
======================================================
Explanation:
The given exterior angle 97 is adjacent to the interior angle 180-97 = 83. This is the base angle of the isosceles triangle. The other base angle is directly above it. The base angles are always opposite the congruent sides.
The missing interior angle (adjacent to the blue angle x) is unknown, so we'll call it angle y. This angle adds to the other two base angles (83 each) to get a sum of 180. Adding any three interior angles of a triangle always gets you 180
y+83+83 = 180
y+166 = 180
y = 180-166
y = 14
Angle x and y are supplementary. They form a 180 degree angle
x+y = 180
x = 180-y
x = 180-14
x = 166
As you can see, the base angles combine to form the exterior angle we're after. This is because of the remote interior angle theorem.
3 sides of the triangle are consecutive odd numbers. What is the smallest possible perimeter of the triangle ?
The sides are 3, 5, and 7 because 7 is less than 3 + 5, so it equals a triangle.
The smallest possible perimeter of such triangle would be 8.
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]
Given; 3 sides of the triangle are consecutive odd numbers.
The sides are 3, 5, and 7 because 7 is less than 3 + 5 so it equals a triangle.
The smallest consecutive odd numbers are 1, 3 and 5
Therefore, the smallest possible perimeter of such triangle = 8
Learn more about triangle inequality theorem here:
https://brainly.com/question/342881
#SPJ2
A culture of bacterial triples in size every four hours. If the bacteria population is estimated to be three million now, what will it be one day from now?
A. 4,238,000,000
B. 6,561,000,000
C. 243,000,000
D. 2,187,000,000
Answer:
1 day = 24 hours
we cam divide in 6 periods of 4 hours
if bacteria triples in size every four hours
3 millions at begining
3^7 = 2'187'000'000 bacteria
Espero que te sirva
Answer: Geometric progression
Step-by-step explanation:
0h -> 3x10^6 /4h-> 9x10^6 / 8h-27x10^6 / 12h->81x10^6 / 16h->243x10^6 / 20h-> 729x10^6 / 24h->2187x10^6 = 2.187.000.000.:
Find the value of x in the triangle
Answer:
x=62
Step-by-step explanation:
a triangle equals 180
so knowing that you subtract 56 from 180
That gives you 124
Then you divide it by 2 because the sides are equal.
That gives you 62
so x=62
There are approximately fifty five million metric tons of apples grown each year. It has been estimated that half of all the apples grown are eaten fresh. Approximately how many metric tons of apples are eaten fresh
Answer:
Twenty-seven and a half million metric tons of apples are eaten fresh.
Step-by-step explanation:
The amount of metric tons of apples that are eaten fresh is equal to the half of the total amount of metric tons. That is:
[tex]m = \frac{55,000,000\,m-ton}{2}[/tex]
[tex]m = 27,500,000\,m-ton[/tex]
Twenty-seven and a half million metric tons of apples are eaten fresh.
