Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.
Down is a formula I made!
Main number: 1/9
Repeating how many times: 3
Expression: [tex]\frac{1}{9} ^3[/tex]
Therefore, 1/9 to the 3rd power is 1/729.
[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]
Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
show work
Rina’s recipe uses 2 cups of sugar to make 2 dozen cookies. Johan’s recipe uses 2 cups of sugar to make 3 dozen cookies. Which recipe uses more sugar for a dozen cookies? Why?
Answer:
Rita's recipe
Step-by-step explanation:
Use proportions and find it out. [Use s as sugar and c as cookies]
Rita's - 2s = 2c. would be 1 cup of sugar per dozen cookies.
Joahn's - 2s = 3c. would be 2/3 cup of sugar per batch of cookies
A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters. The population mean is 62.95 inches with a standard deviation of 5.65 inches.
What is the standard error of the sample mean? Round your answer to the nearest hundredth.
The standard error of the sample mean is approximately ______.
Answer:
The standard error of the sample mean (S.E) = 0.7835
Step-by-step explanation:
Explanation:-
Given mean of the Population = 62.95 inches
Given standard deviation of the Population = 5.65 inches
The standard error of the sample mean is determined by
[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]
[tex]S.E = \frac{5.65}{\sqrt{52} } = 0.7835[/tex]
The standard error of the sample mean is approximately (S.E) = 0.7835.
What is the standard error?It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.
Supopse that we're given that:
Population standard deviation =[tex]\sigma[/tex]
Size of sample we're working on = n
Then, the standard error can be calculated as:
[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]
where SE denotes the standard error.
A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters.
The population means is 62.95 inches with a standard deviation of 5.65 inches.
The mean of the Population = 62.95 inches
The standard deviation of the Population = 5.65 inches
The standard error of the sample mean can be determined by
[tex]= \dfrac{Standard deviation }{\sqrt{sample size}}\\\\\\= \dfrac{5.65 }{\sqrt{52}}\\= 0.7835140[/tex]
Learn more about standard error here:
https://brainly.com/question/17461828
#SPJ5
The perimeter of a rectangle is 98 feet. The ratio of its length to its width is 5:2.
Find the area of the rectangle.
Answer:
the area is 50
Step-by-step explanation:
value of the 5:2
FRQ 2
At a particular coffee shop, 92% of customers order a beverage, 3% of customers order food alone (order food and not a beverage), and 12% of customers order food and a beverage. Suppose we randomly select a customer. Let B = the customer orders a beverage and F = the customer orders food.
a) What is P(F)? Interpret this value in context.
b) What is the probability that the customer orders food given that they order a beverage? Write this event in symbolic form and find the probability.
c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage? Justify your response.
Answer:
a) P(F) = 0.15
b) P(F/B) = 0.13
c) 5% customers order neither food not beverage.
Further explanation is in the explanation section
Step-by-step explanation:
Solution:
Data given:
B = The customer orders a beverage
F = The customer orders food.
F + B = The customers order food and a beverage.
Percentage share:
F = 3%
B = 92%
F + B = 12%
a)
So, the Probability of B, the customer orders a beverage will be:
P(B) = 92% = 0.92
Probability of (F+B), the customers orders food and beverage will be:
P(F ∩ B) = 12% = 0.12
And we know that, 3% customers order food alone so,
P(F) - P(F ∩ B) = 3% = 0.03
So,
P(F) = (P(F) - P(F ∩ B)) + P(F ∩ B)
P(F) = 0.03 + 0.12
P(F) = 0.15
It means that 15% customer order food only.
b) Probability that the customer orders food given that they order a beverage.
P(F/B) = (Probability that the customer orders food given that they order a beverage.)
P(F/B) = P(F∩B)/P(B)
P(F/B) = 0.12/0.92 = 0.13
P(F/B) = 0.13
Symbolic form of the required probability is = P(F/B)
c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage?
Probability of ordering food and beverage will be:
P(F U B)
So,
Probability of ordering neither food nor beverage will be = 1 - P(F U B)
And,
P(F U B) = P(F) + P(B) - P(F ∩B)
P(FUB) = 0.15 + 0.92 - 0.12
P(FUB) = 0.95
Probability of ordering neither food nor beverage will be = 1 - P(F U B)
Probability of ordering neither food nor beverage will be = 1 - 0.95
Probability of ordering neither food nor beverage will be = 0.05
Hence, 5% customers order neither food not beverage.
So, we have selected 180 random people so, 5% of 180 =
number of people order neither food nor beverage = 5/100 x 180
number of people order neither food nor beverage = 9 people
It means we can expect out of 180 people, 9 people will not order food or beverage.
Graph the system below and write its solution.
y= 2x + 2.
x-2y=-7
Note that you can also answer "No solution" or "Infinitely many
11. Solve the linear inequality.
- 17x + 2 < - 10x - 19
a. x > - 3
b. x < - 3
c. x > - 1
d. x < 3
e. x > 3
Answer:
Your answer is E
Step-by-step explanation:
Here you go mate
Step 1
-17x+2<-10x-19 Equation/Question
Step 2
-17x+2<-10x-19 Simplify
-7x<-21
Step 3
−7x<−21 Use 7 to divide
answer
So therefore x>3
Convert to a 4/9 to a decimal?
Group of answer choices
4.9
0.49
0.444
0.494949
Answer:
0.444
Step-by-step explanation:
use the fraction bar as a division sign and solve the problem!
What is the missing reason in the proof?
Prove –(–y – x) – x = y
Statements Reasons
–(–y – x) – x = –[–y +(–x)] – x Definition of subtraction
–[–y +(–x)] – x = y + x – x Opposite of a sum property
y + x – x = y + x + (–x) Definition of subtraction
y + x + (–x) = y + [x + (–x)] Associative Property of Addition
y + [x + (–x)] = y + 0 Additive Inverse Property
y + 0 = y ________________________
Additive Identity Property
Opposite of a Sum Property
Additive Inverse Property
Symmetric Property
Answer: the answer is additive identity property i just took the test
Step-by-step explanation: i hope this helps
Li is making beaded necklaces. for each necklace, she uses 25 spacers, plus 9 beads per inch of necklace length. write an equation to find how many beads Li needs for each necklace, where x is the length, in inches, of the necklace
Given that Li is making beaded necklaces for each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length.
The equation to find how many beads Li needs for each necklace can be obtained as follows:
A. The input variable is the number of inches of the necklace length (x).
B. The output variable is the number of beads Li needs for each necklace (y).
C. The required equation is given by
y = 5x
Pls help me with number 20 and you get 5 star and brainliest
Answer:
it is equal
Step-by-step explanation:
because they both have 90 86 and 84
claire is 120cm tall. her mum is 160cm tall. how much shorter is claire than her mum
PLEASE ANSWER QUICK!!! WILL MARK BRAINLIEST!!!
Answer:B A C
Step-by-step explanation:
Solve for X: 9 (4 - x) = 2 (x + 7)
Thank you for your time and assistance.
Answer:
2.0909=x
Step-by-step explanation:
9 (4 - x) = 2 (x + 7)
(9*4)-(9*x)=(2*x)+(2*7)
37-9x=2x+14
23=11x
23/11
2.0909=x
(10 POINTS) Given the following formula, Solve for a.
S= a+b+c/2
A. A= s- b+c/2
B. A= 2s - b + c
C. A= 2s - b - c
D. A = s - b-c/2
Answer:
C. a = 2s - b - c
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
[tex]\displaystyle s = \frac{a + b + c}{2}[/tex]
Step 2: Solve for a
Multiply 2 on both sides: [tex]\displaystyle 2s = a + b + c[/tex]Subtract b on both sides: [tex]\displaystyle 2s - b= a + c[/tex]Subtract c on both sides: [tex]\displaystyle 2s - b - c = a[/tex]Rewrite: [tex]\displaystyle a = 2s - b - c[/tex]
Help I will give a brainliest
Answer:
melting and freezing
Step-by-step explanation:
You and your friend get the same magazine. You spend $15 for twelve issues. Your
friend pays $1.50 per issue but gets the first two issues free. How many issues will your
friend get if he also spends $15?
Answer:
10 issues
Step-by-step explanation:
If my friend gets the first 2 issues free, then the remaining issues will be (12-2) = 10 issues .
for 12 issues my friend paid,
1 issue = $1.5
10 issues = 10 × $1.5 = $15
So, it matched which the question, which is $15 spent by my friend.
Answer = 10 issues
The mean number of patients admitted per day to the emergency room of a small hospital is 3. If, on any given day, there are only 8 beds available for new patients, what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients?
i think there are some mistakes in the question, Please check once again! :)
There are 17 more boys than girls at Juab Junior
High School. If there are a total of 981 students
there, how many students are boys?
5
(a)
Let u and v be non-zero vectors such that v is a unit vector. Show that |u•v|<|u|.When does
equality occur? Explain your reasoning.
[3]
(b)
Show that if x and y are non-zero parallel vectors, then X×Y=0.
[2]
(c)
Referred to the origin o, points A and B have position vectors a and b respectively. Let C be a
variable point with position vector 2(a - b). Show that the area of AABC is independent of 2. [2]
Answer:
5
(a)
Let u and v be non-zero vectors such that v is a unit vector. Show that |u•v|<|u|.When does
equality occur? Explain your reasoning.
[3]
(b)
Show that if x and y are non-zero parallel vectors, then X×Y=0.
[2]
(c)
Referred to the origin o, points A and B have position vectors a and b respectively. Let C be a
If two different people are randomly selected from the 880 subjects, find the probability that they are both heavy smokers
Answer:
0.006795
Step-by-step explanation:
Note: The table of the question is attached as picture below
Total number of heavy smokers = 36+ 37 = 73
Total men and women = 880
We need to know the probability of selecting two DIFFERENT heavy smokers.
Probability of (First person selected is a heavy smoker) = 73/880
Discarding the first person, now you have 879 subjects left and 72 heavy smokers left.
So, Probability of Second person selected is a heavy smoker) = 72/879
Probability of 2 different people selected are heavy smokers) = 73/880 * 72/879
= 5256 / 773520
= 0.006795
BRAINLIEST
Which measurements could NOT represent the side lengths of a right triangle?
Answer:
c
Step-by-step explanation:
10 is to high compared to 6
can someone help me algebra 1
What is the largest number that is a factor of both 12 and 20?
I GIVE BRAINLIEST
Points A and B have opposite x-coordinates but the same y-coordinates.
On a coordinate plane, point A is 2 units to the left and 3 units up. Point B is 2 units to the right and 3 units up.
How many units away are each of the points from the y-axis?
Answer:2
Step-by-step explanation:toke the test
The number of units away from each of the points from the y-axis will be 2.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The points are given below.
A(-2, 3) and B(2, 3)
The coordinate of the points that lie on the y-axis is (0, 3).
Then the distance from point A will be given as,
D² = (-2 + 0)² + (3 - 3)²
D² = 4
D = 2
Then the distance from point B will be given as,
D² = (2 + 0)² + (3 - 3)²
D² = 4
D = 2
The number of units away from each of the points from the y-axis will be 2.
Learn more about the distance between two points here:
https://brainly.com/question/18296211
#SPJ2
The expression 2.4x−3.9y−1.2x+ay is equivalent to 1.2x+1.2y.
What is the value of a?
The value of a from the given mathematical expression is 5.1.
Given the following data:
[tex]2.4x-3.9y-1.2x+ay[/tex][tex]1.2x+1.2y[/tex]To determine the value of a:
How to solve these mathematical expressions.In this exercise, you're required to solve for the value of a from the given mathematical expression. Since the two (2) mathematical expressions are equivalent (equal), we would go ahead to equate them as follows:
[tex]2.4x-3.9y-1.2x+ay = 1.2x+1.2y[/tex]
Simplifying the equation, we have:
[tex]2.4x-3.9y-1.2y+ay-1.2x-1.2x = 0 \\\\2.4x-5.1y+ay-2.4x = 0\\\\-5.1y+ay=0\\\\ay=5.1y[/tex]
a = 5.1
Read more on mathematical expressions here: https://brainly.com/question/13170908
A deck of cards contains 52 cards, of which 4 are aces. You are offered the following wager: Draw one card at random from the deck. You win $10 if the card drawn is an ace. Otherwise, you lose $1. If you make this wager very many times, what will be the mean amount you win?
Answer:
-$0.15
Step-by-step explanation:
We have been given win = $10, and loss = $-1
This deck of cards has 4 aces out of a total of 52 cards.
Then the probability can be explained as the number of favorable outcome/number of what is the possible outcome.
P(win) = number of favorable outcome/number of possible outcome
= 4/52
= 1/13
P(loss) = number of favorable outcome/number of possible outcome
= 48/52
= 12/13
Then we have
$10x1/13 + (-1)x12/13
= 10/13-12/13
= -2/13 dollars
= -$0.15
Using the principle of discrete probability, the expected value, which a measure of the mean amount after many plays is - 2/13
Calculating the required probabilities :
P(winning) = P(drawing an Ace) = 4/52 = 1/13
Hence, P(losing) = 1 - 1/13 = 12/13
X :____ 10 _____ - 1
P(X) : _ 1/13_____ 12/13
The expected value :
E(X) = 10 × (1/13) + - 1(12/13)
E(X) = 10/13 - 12/13
E(X) = - 2/13
Hence, the measure of the mean amount is -2/13.
Learn more : https://brainly.com/question/18405415
need some help!
help giving 10 points
Answer:
The remaining lenghts are [tex]x = 20.364\,cm[/tex] and [tex]y = 12.925\,cm[/tex].
Step-by-step explanation:
Given that there are two triangles opposite to each other and between two parallel lines, then both are similar, meaning than following relationships exist:
[tex]\frac{AC}{CD} = \frac{BC}{CE} = \frac{AB}{DE}[/tex] (1)
If we know that [tex]AC = 11\,cm[/tex], [tex]CD = 28\,cm[/tex], [tex]BC = 8\,cm[/tex] and [tex]DE = 32.9\,cm[/tex], then the missing lengths are, respectively:
[tex]\frac{11\,cm}{28\,cm} = \frac{8\,cm}{x}[/tex]
[tex]x = \frac{(28\,cm)\cdot (8\,cm)}{11\,cm}[/tex]
[tex]x = 20.364\,cm[/tex]
[tex]\frac{11\,cm}{28\,cm} = \frac{y}{32.9\,cm}[/tex]
[tex]y = \frac{(11\,cm)\cdot (32.9\,cm)}{28\,cm}[/tex]
[tex]y = 12.925\,cm[/tex]
The remaining lenghts are [tex]x = 20.364\,cm[/tex] and [tex]y = 12.925\,cm[/tex].
3.5 ÷ 2.29 round to nearest tenth
Answer:
1.5
Step-by-step explanation:
Thats rounded.
PLEASE HELP ME WITH THIS!!!!!!
Answer:
[tex]\boxed{\pink{\bf Yes \ \angle L = \angle O . }}[/tex]
Step-by-step explanation:A figure is given to us in which ML = MO . And we have to Prove ∆ MLN [tex]\cong[/tex] ∆ MON .
Hence here , in ∆ MLN & ∆ MON ,
ML = MO ( given ) ∠LMN = ∠MON ( Given ) MN = MN ( Common)Hence by SAS congruence condition
[tex]\boxed{\red{\bf \triangle MLN \cong \triangle MON}}[/tex]
____________________________________
(ii) Yes ∠ L = ∠ O will be equal to each other .( by cpctc )
Extra Information :-The congruence conditions for two ∆s are :-
1) SAS ( Side Angle Side )
→ Two triangles are said to be congruent by SAS if two respective sides of the two triangles and the included angle between two sides are equal.
2) AAS ( Angle Angle Side )
→ Two triangles are said to be congruent by AAS if two angles and one side of triangle is congruent to other two angles and one side of the triangle .
3) SSS ( Side Side Side )
→ Two triangles are said to be congruent by SAS if all the three sides of one triangle is equal to three sides of the other triangle.
4) RHS ( Right Hypotenuse Side )
→ In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.
are the following lines parallel,perpendicular,neither
y =2x-1
y=-1/2x+3
Answer:
perpendicular
Step-by-step explanation:
The lines are not parallel because the slopes are not equal. However, they are perpendicular because perpendicular lines' slopes are opposite reciprocal. (×negative with the denominator and numerator switched.)