Answer:
x = 5
Step-by-step explanation:
[tex]\frac{45}{27}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )
27x = 3 × 45 = 135 ( divide both sides by 27 )
x = 5
Answer:X=5
Step-by-step explanation:
1st. divide the numbers
2nd. Multiply all terms by the same value to eliminate fraction denominators
3rd.Cancel multiplied terms that are in the denominator
4thMove the variable to the left
which gets: x=5
the owner of a smoothie shop wants to survey customers to find out what new fruits should be added to the menu
Answer:
Step-by-step explanation:
Have the cash register print a pink arrow on a receipt every 15 minutes. Survey customers with a pink arrow on their receipts.
Its correct I got it right!!
The approach which is most likely to represent a sample that is representative of the population is option C. Have the cash register print a pink arrow on a receipt every 15 minutes. Survey customers with a pink arrow on their receipt.
What are Sampling Methods?Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.
The random sample we need here is the sample of customers coming to a shop.
If we select the customers by the other options other than the third one, it will lead to various bias issues like sampling bias and research bias.
Hence the most appropriate method is to use option c.
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Dante can type 48 words in 6 minutes. What is his rate in words per minute.
Answer:
8 words per minute.
Step-by-step explanation:
Divide 48 by 6
extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data. a. true
b. false
TRUE extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
"Information available from the question"
In the question:
Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
Answer in True or False.
Now, According to the question:
Let's Know:
What is extrapolation?
A statistical technique called extrapolation aims to understand the unknown data from the known data. It uses historical data to attempt to predict future data. For instance, using the current population size and growth rate to project the size of a population in a few years.
Predicting hypothetical values outside of a specific data set is the goal of extrapolation.
Contrary to interpolation, which typically focuses on estimating past values, extrapolation is used to predict unknown future values due to its predictive nature.
Hence, TRUE extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
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2 m
1 m
I
3m
The area of each of the bases will be
The
area of the right and left lateral faces will be
m².
✓m².
The area of the front and back lateral faces will be
m².
The lateral area of the prism will be
The surface area of the prism is 22 m².
m².
I have no idea im doing the same thing
what is 55/100 as a decimal
!!!!!!!!!!
2x-3y-9≥0
Answer:
try
Step-by-step explanation:
Find the difference between (1.1 × 108) and (4.3 × 107). Write the final answer in scientific notation.
−3.2 × 101
3.2 × 10−1
6.7 × 107
6.7 × 108
The difference between the numbers 1.1 × 10⁸ and 4.3 × 10⁷ will be 6.7 × 10⁷. Then the correct option is C.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
1.1 × 10⁸ and 4.3 × 10⁷
Then the difference between the numbers 1.1 × 10⁸ and 4.3 × 10⁷ will be given by putting a minus sign between them. Then we have
⇒ 1.1 × 10⁸ - 4.3 × 10⁷
⇒ 11 × 10⁷ - 4.3 × 10⁷
⇒ 6.7 × 10⁷
The contrast between the numbers 1.1 × 10⁸ and 4.3 × 10⁷ will be 6.7 × 10⁷. Then, at that point, the right choice is C.
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There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
A person is selected at random.
What is the probability that the person uses exactly one of the facilities?
The probability that the person uses exactly one of the facilities is 0.8.
Given that, there are 120 people in a sport center.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Now, the person uses exactly one of the facilities
= 78+46+41-(21+16+24+9)
= 165-70
= 95
So, probability =95/120
= 0.8
Therefore, the probability that the person uses exactly one of the facilities is 0.8.
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the scale on a map of roswell, new mexico is $1\text{ inch}:0.51\text{ mile}$. if two buildings in roswell are $2.3$ miles apart in real life, then to the nearest tenth of an inch, how far apart are they on the map?
Two Hills in Roswell is 1.173 miles apart in real life.
The mile, sometimes called the international mile or statutory mile to distinguish it from others, is an imperial unit in the United Kingdom and a common unit of distance in the United States. Both are based on old English units that are 5,280 British feet or 1,760 yards long. The legal mile was standardized in 1959 by an international agreement between the British Commonwealth and the United States and formally redefined in SI units to be exactly 1,609.344 meters.
With the modifier, the mile is also used to describe or convert a wide range of units derived from or roughly equivalent to the Roman mile, such as the Chinese mile (now exactly 500 m). will be The Romans divided the mile into 5,000 Roman feet, but the furlong was so important in Elizabethan England that in 1593 the legal mile was equal to 8 furlongs, or 5,280 feet. This form of the mile has since spread partially to the successor states of the British Empire, where they continue to use the mile.
According to the question:
The scale is 1 inch : 0.51 miles. It means 1 inch on the map represents 0.51 miles in real life.
If we have 2.3 inches on the map, then in real life
in real life = 2.3 × 0.51
in real life = 1.173 miles.
Two hills in Roswell is 1.173 miles apart in real life
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Use the quadratic formula to solve the quadratic equation 2x²-3x -4 = 0.
Separate multiple solutions with commas if necessary.
Answer:
Step-by-step explanation:
4m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/8
Answer:
[tex]\frac{-3+\sqrt{23} }{4} , - \frac{3+\sqrt{23} }{4}[/tex]
Step-by-step explanation:
quad formula= [tex]x=\frac{b+/-\sqrt{b^{2} -4(a)(c)} }{a^{2} }[/tex]
in your case the [tex]2x^{2}[/tex] is a
[tex]-3x[/tex] is b
and [tex]-4[/tex] is c
and plug it in a calculator twice, add the first time and subtract the second time.
-9a-15-16a+9 8n it's simplest form
the simplest form of the given expression -9a-15-16a+9 is -25a - 6.
What is polynomials?
Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.
-9a-15-16a+9
So here "a" is a variable
we have -a(9+16)+9-15
= -25a - 6
Hence the simplest form of the given expression is -25a - 6.
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How do I measure 1 square meter?
Answer:
you need to know the length and width of the square or rectangle. This is also referred to as the area of the shape. The formula for calculating square meters is length x width = m2.
82% of Ms.M's students increase their math SAT score. Of those, 75% increase their score by at least 100 points. Overall, what percent of students increase their math SAT score by at least 100 points?
Step-by-step explanation:
80()#-$/-38३८8३88353738३३
A retailer purchases 240 of a new brand of dvd player, of which 7 are defective. The purchase agreement says that if he tests 5 chosen at random and finds 1 or more defective, he receives all the dvd players free of charge. What is the probability that he will not have to pay for the dvd players? (round your answer to three decimal places. )
The probability of not paying any amount for the purchased DVD players as per the condition of 1 or more defective is equal to 0.9029.
As given in the condition,
Number of DVD players purchased by a retailer = 240
Number of defective DVD players = 7
Number of non- defective DVD players = 233
Number of DVD players chosen randomly for test = 5
Condition:
If 1 or more DVD players are defective then all players are free of charges.
Total number success rate for 5 DVD to be defective 'p' = 5 / 240
= 1 / 48
Here value of n = 5
Probability of non defective DVD is equal to:
= 1 - ( 47/ 48 )⁵
= 0.09708
Probability of 1 or more defective DVD's are
= 1 - 0.09708
= 0.9029
Therefore, the probability of not to pay any amount for DVD players is equal to 0.9029.
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Drag each tile to the correct box. Not all tiles will be used.
Given a horizontal line segment AB and a point C, place the steps for copying AB to create CD in the proper order.
By using the rule of construction of a line segment,
The steps for copying line segment AB to create line segment CD in the proper order are given below.
What is a line?
Anything that has only length but no breadth and height is called a line.
Part of a line is called line segment.
The steps for copying line segment AB to create line segment CD in the proper order are
Step 1: Set the compass width to AB
Step 2: Place the compass point at point c and draw an arc
Step 3: Mark a point D anywhere on the arc
Step 4: Draw CD
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25 points :)))))
2+2x3
Answer:
8
Step-by-step explanation:
2+2x3
1. Use pemdas to do it
8
Select all the numbers that show 12% as an equivalent fraction, decimal, or percent.
1/2x < 6
Please help me
Answer:
x < 12
Step-by-step explanation:
Combine multiplied terms into a single fraction
1/2x < 6
1x/2 < 6
x/2 < 6
2 times x/2 < 2 times 6 is 12 you your answer is x < 12
The distribution of heights in a population of women is approximately normal. sixteen percent of the women have heights less than 62 inches. about 97.5% of the women have heights less than 71 inches.
Use the empirical rule to estimate the mean and standard deviation of the heights in this population.
Mean and standard deviation of the height of the population using empirical rule is equal to 65inches and 3 inches.
As given in the question,
Distribution of height in women population:
Percent of women heights less than 62inches = 16%
As per Empirical rule of normal distribution,
It is less than 68% it comes in first standard deviation
μ - σ = 62 __(1)
Percent of women heights less than 71 inches = 97.5%
As per Empirical rule of normal distribution,
It is in the range of 97.5% it comes in second standard deviation
μ +2σ = 71 __(2)
Solve (1) and (2) we get,
μ - σ = 62
μ +2σ = 71
0 - 3σ = -9
⇒ σ = 3inches
⇒ μ = 62 + 3
= 65inches
Therefore, the using empirical rule the mean and standard deviation to represent the height of population is equal to 65inches and 3 inches respectively.
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A sheet of 28 stickers has stars and heart stickers. There are 16 heart stickers. How many heart stickers does a pack of 140 stickers have?
To find the number of heart stickers in a pack of 140 stickers, we can use proportions. We can set up the proportion by using the number of stickers on the sheet of 28 stickers as the denominator and the number of heart stickers on the sheet of 28 stickers as the numerator. The proportion will look like this:
Copy code
(heart stickers in a pack of 140 stickers) / 140 = 16 / 28
To solve for the number of heart stickers in a pack of 140 stickers, we can first multiply both sides of the equation by 140 to get rid of the denominator on the left side:
(heart stickers in a pack of 140 stickers) = 140 * 16 / 28
Then, we can simplify the expression on the right side by dividing the numerator and denominator by 4 to get:
(heart stickers in a pack of 140 stickers) = 35
Therefore, a pack of 140 stickers would have 35 heart stickers.
data were collected on the following variables. which variable is least likely to be approximated with a normal model?
On the factors variable, information was gathered when the age distribution of all the data, expressed in years, with the right tail being longer than the left.
Given that,
On the factors variable, information was gathered.
We have to find which variable is least likely to be modeled by a normal distribution.
We know that,
The normal distribution has the following properties:
i) Symmetric
ii) unimodal
iii)asymptotic
The distribution of ages, in years, of all the residents of a town, where the right tail of the distribution is longer than the left.
This distribution is not symmetric.
It is not a normal distribution.
Therefore, On the factors variable, information was gathered when the age distribution of all the data, expressed in years, with the right tail being longer than the left.
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Decide whether a graph of the data would be points that appear to lie on a horizontal line, a vertical line, or neither. The number of books read by Avery each year from 1999 to 2005.
Evaluate the expression for the given value of the variable. 34 + 1/6r, r = -1/2
Answer:
407/12
Step-by-step explanation:
r=-1/2
Substituting, we get 34+1/6*-1/2=34+(-1/12) = 407/12.
solve and graph by using systems of inequalities.
A 24 hour radio station plays only classical music, jazz music, talk programs, and news. It plays at most 12 hours of music per day, of which at least 4 hours is classical. Jazz music gets 25% as much time as classical. Write and graph a system of inequalities.
PLEASE HELP!!!
The inequality that represent the at most no. of musics played are,
C ≤ 4, J ≤ 1 and 4C + 0.25C ≤ 12
What are inequalities and it's types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, The radio station plays at most 12 hours of music per day.
Let C denotes classical music, J denotes jazz music,
25% of 4 hours is 1 hour.
∴ The inequality representing this situation is
C ≤ 4 and J ≤ 1.
4C + 0.25C ≤ 12. (less that or equal to is atmost)
4.25C ≤ 12.
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Pls help me with this answer!!
Answer:
(-3, 0)
Step-by-step explanation:
You use brackets and then you place the number of x first which is -3 then you place a comma and then you place the number of y which is 0 and you close the bracket.
Using the Distributive Property, Solve the Problem below:
-2.5(4x - 4) = -6
(After using the Distributive Property, Solve for x)
The solution of the given linear equation can be obtained as x = 0.4.
What is meant by the distributive property?The distributive property states that the product of a number and the sum of other numbers is equal to the sum of their individual products.
It can be expressed as a(b + c + d) = ab + ac + ad.
The given linear equation can be solved as follows,
-2.5(4x - 4) = -6
Use distribute property in the RHS to obtain,
-2.5 × 4x - 2.5 × -4 = 6
=> -10x + 10 = 6
=> -10x = -4
=> x = 0.4
Hence, the given equation can be solved as x = 0.4.
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thor weighs 192 pounds and plans on losing 2.1 pounds each month. belvedere weighs 211 pounds and plans on losing 7.5 pounds per month. If they stick to their plans, how many months will it take for belvedere to weigh the same as thor
By solving a linear equation, it can be calculated that-
It takes 3.51 months for Belvedere to weigh the same as Thor
What is a linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
A linear equation needs to be solved here
Let the number of months for Belvedere to weigh the same as Thor be x months
Thor weighs 192 pounds and plans on losing 2.1 pounds each month.
Weight of Thor after x months = 192 - 2.1x
Belvedere weighs 211 pounds and plans on losing 7.5 pounds per month.
Weight of Belvedere after x months = 211 - 7,5x
By the problem,
The linear equation is
192 - 2.1x = 211 - 7.5x
7.5x - 2.1x = 211 - 192
3.51 5.4x = 19
x = [tex]\frac{19}{5.4}[/tex]
x = 3.51 months
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What does it mean when the slope is 2 to 1?
The slope is 2 to 1 means you move up or down 1 foot for every 2 feet.
The slope is 2 to 1 means you move up or down 1 foot for every 2 feet. [tex]2:1[/tex] slopes have guardrails along the edge(side) of the pavement as you drive down the highway. It can be seen from either an on or off-ramp.
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x+2 over 3 = 2x-6 over 8
How do you split an infinitive in a sentence?
To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.
In the given question we have to explain, how we split an infinitive in a sentence.
As we know that,
Split infinitives are grammatical constructions in which the "to" and "infinitive" halves of what is more often referred to as the to-infinitive in modern linguistics are separated by an adverb or adverbial phrase.
To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.
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