The solution for the algebraic expression 2 1/3 - 4/7 is 37/21
Given,
The algebraic expression ; 2 1/3 - 4/7
We have to solve this expression;
First lets solve the mixed fraction 2 1/3
2 1/3 = (2 x 3) + 1 / 3 = 6 + 1 / 3 = 7/3
Mixed fraction;
A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
Now,
7/3 - 4/7 = (7 x 7) / (3 x 7) - (4 x 3) / (7 x 3) = 49/21 - 12/21
That is,
49/21 - 12/21 = (49 - 12) / 21 = 37/21
That is,
The solution for the algebraic expression 2 1/3 - 4/7 is 37/21
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In a given year, residents of a country spent approximately $52.9 billion on their pets. Of this amount, $17.3 billion was for veterinarian bills. What percent of the total was spent on veterinary cave?About ...% of the total was spent on veterinary care.
32.7 %
Explanation
we can easily solve this by using a rule of three
Step 1
Let x represents the percent of the total that was spent on veterinary
[tex]\begin{gathered} \text{ \$ 52.9 billions}\rightarrow100\text{ percent} \\ \text{ \$ 17.3 billons}\rightarrow x\text{ percent} \end{gathered}[/tex]
the ratios are equal , so we have a proportion
[tex]\frac{52.9}{100}=\frac{17.3}{x}[/tex]Step 2
solve the equation
[tex]\begin{gathered} \frac{52.9}{100}=\frac{17.3}{x} \\ \text{cross multiply} \\ 52.9x\cdot17.3\cdot100 \\ 52.9x=1730 \\ \text{divide both sides by 52.9} \\ \frac{52.9x}{52.9}=\frac{1730}{52.9}=32.7 \\ x=32.7 \\ \\ \end{gathered}[/tex]so, the answer is
About 32.7% of the total was spent on veterinary care.
I hope this helps you
please help to find the value of x and explain how to get it in simple terms.
SOLUTION
From the image above
[tex]\begin{gathered} z^2=6^2+3^2\ldots\text{ by pythagora's rule } \\ z^2=36+9 \\ z^2=45 \\ z=\sqrt[]{45} \end{gathered}[/tex]Considering the bigger right angle triangle,
[tex](3+x)^2=y^2+45[/tex]We can obtain the expression of y from the smaller right angle triangle,
Using pythagora's rule, we have
[tex]y^2=6^2+x^2[/tex]Then, recall
[tex](3+x)^2=y^2+45[/tex]Substite the expression for y², we have
[tex](3+x)^2=6^2+x^2+45[/tex]Expand the paranthesis, we have
[tex]\begin{gathered} 9+6x+x^2=x^2+36+45 \\ \text{Subtract x}^2from\text{ both sides } \\ 9+6x=36+45 \\ \end{gathered}[/tex]subtract 9 from both sides, we have
[tex]\begin{gathered} 6x+9-9=81-9 \\ 6x=72 \end{gathered}[/tex]Divide both sides by 6, we obtain
[tex]\begin{gathered} \frac{6x}{6}=\frac{72}{6} \\ \text{Then} \\ x=12 \end{gathered}[/tex]Therefore
Answer: x= 12
Enter a term in the box to make an equation that has infinitely many solutions.
3x+______= 3x+14-6
Answer:
3x+6-14
Step-by-step explanation:
3. The following are the sizes in square feet of the seventeen new faculty office in the mathematics department at a college.102123142155104185159124154136113110107119120127155Find the mean square footage. Round your answer to the nearest tenth, if necessary. square feetFind the median square footage. square feet
Given a sample of the size, measured in square feet, of 17 faculty offices.
1) Mean
To calculate the mean of the sample you have to add all observations of the data set and divide it by the sample size:
[tex]\bar{x}=\frac{\Sigma x_i}{n}[/tex][tex]\begin{gathered} \bar{x}=\frac{102+123+142+155+104+185+159+124+154+136+113+110+107+119+120+127+155}{17} \\ \bar{x}=\frac{2235}{17} \\ \bar{x}=131.47\approx131.5ft^2 \end{gathered}[/tex]The mean square footage is 131.5 ft²
2) Median
To determine the median of the data set, first, you have to calculate the position of the median, following the formula:
[tex]\text{PosMe}=\frac{(n+1)}{2}[/tex]The sample size is n=17, then the position of the median is
[tex]\begin{gathered} \text{PosMe}=\frac{17+1}{2} \\ \text{PosMe}=\frac{18}{2} \\ \text{PosMe}=9 \end{gathered}[/tex]The median corresponds to the ninth observation of the data set.
Next, you have to order the data set from least to greatest:
102, 104, 107, 110, 113, 119, 120, 123, 124, 127, 136, 142, 154, 155, 155, 159, 185
Count the ninth observation from the left.
The median of the data set is Me= 124 ft²
which measure of variability is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean? group of answer choices iqv interquartile range variance standard deviation
Standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.
What is measure of variability?
Measures of variability provide descriptive information about the dispersion of scores within data.
Standard deviation uses all the values in the distribution in it's calculation hence the standard deviation provides the most information.
Therefore standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.
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What are the domain and range of the function below?
Answer:
Domain: [0,∞)
Range: (-∞,4]
Step-by-step explanation:
The domain is the numbers along the x-axis, and the range is the numbers along the y-axis. This graph includes a domain from zero to infinity and a range from negative infinity to four. The parentheses () mean that these numbers aren't included, and since infinity isn't an actual number, it gets a parenthesis. The brackets [ ] are used to include a number exactly. Since four and zero are real numbers and are included in this graph they get brackets. We also know that four and zero are included because the dot at point (0,4) is solid and not hollow, which means those numbers are to be included in the domain and the range. Also something to note: you always write the domain and range going from the smallest number to the largest number, this is why the range is written as (-∞, 4] and not [4, -∞).
Tayon wants to run a total of 16 miles this week. He has already run 5 miles. What percent of his goal has he finished?
Answer: the answer is 31.25%
Step-by-step explanation:
Divide 5 by 16, which is 0.3125. The you take that number and multiply it by 100: 0.3125 * 100= 31.25. So there for the answer is 31.25%
The percent of his goal he has finished is 31.25%.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
We need to calculate percentage here.
We have been given total distance and we have also been given the distance covered.
We have to find the percentage of his goal covered.
For this, we need his goal which is 16 miles and we know the goal covered by him which is 5 miles.
To find the percentage, we have to divide these both and multiply by 100.
Percentage of goal covered = Goal covered/total goal *100
= 5/16 * 100
= 31.25%
The percent of his goal is 31.25%.
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Cuanto es 25 dividido en 386,4
what is Vivian's new account balance?
Answer: 218.65 US$
Step-by-step explanation: $187.56+$49.73= $237.29
237.29 US$- $18.64
Answer:
$218.65
Step-by-step explanation:
She starts with a balance of $187.56. When she deposits money she is adding to the account.
$187.56 + $49.73 = $237.29
When she spends money money is being subtracted from her account.
$237.29 - $18.64 = $218.65
A line that includes the point (3,10) has a slope of 4. What is its equation in slope intercept form?
The slope intercept form of equation of the line is y = 4x - 2
The slope intercept form of equation of the line that includes the point (3,10) has a slope of 4. is y = 4x - 2
What is equation of a straight line in slope intercept form?This is an equation of the form y = mx + c, where:
the coefficient of x is the slope
c is the intercept
To calculate the equation of the line that include point (3,10) has a slope of 4 we solve as follows
( y - y' ) / ( x - x' ) = 4
( y - y' ) = ( x - x' ) = 4
where y' = 10, and x' = 3
y - 10 = (x - 3 ) * 4
y - 10 = 4x - 12
y = 4x - 12 + 10
y = 4x - 2
The slope intercept form of equation of the line is y = 4x - 2
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When the remainder is zero, which statement is NOT true?
A. The quotient is a factor
B. The divisor is a factor
C. The solution of the divisor is a zero
D. The dividend is a factor
(right answer only!)
When the remainder is zero, the statement that isn't true is that C. The solution of the divisor is a zero.
What is a dividend?A dividend simply means the value that is divided by another value in order to far the result. It is the base of the division problem.
For example, 12 divided by 6 is 2. In this case, 6 is the dividend. 6 is a factor of 12.
Therefore, the correct option is C
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Write an explicit formula for an, the nth term of the sequence
64, -16, 4,....
The formula for the given arithmetic series for the term aₙ will be aₙ=a₁+(n-1)d.
What is arithmetic series?An arithmetic series is the sum of a sequence like 2,..., where each term is calculated by adding (or subtracting) a constant from the previous one. An ordered group of numbers with a shared difference between each succeeding term is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.So, the possible sequence of -64, -16, 4:
We can notice the sequence as -(4³), -(4²), 4, 4², 4³.So, the formula for the aₙ term will be:
aₙ = a₁ + (n - 1)dTherefore, the formula for the given arithmetic series for the term aₙ will be aₙ = a₁ + (n - 1)d.
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The correct question is given below:
Write an explicit formula for an, the nth term of the sequence
-64, -16, 4,....
bradley consumes an energy drink that contains caffeine. after consuming the energy drink, the amount of caffeine in bradley's body decreases exponentially. the 10-hour decay factor for the number of mg of caffeine in bradley's body is 0.2722. what is the 5-hour growth/decay factor for the number of mg of caffeine in bradley's body?
The 5-hour growth/decay factor for the number of mg of caffeine in Bradley's body is 0.521
In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time. Exponential decay differs from linear decay in that the decay factor depends on a percentage of the initial sum, meaning that the amount by which the original sum may be lowered will fluctuate over time as opposed to a linear function, which reduces the original sum by the same amount each time.
Given,
10 hour decay factor = 0.2722
Let us calculate the one-hour decay factor first,
One-hour decay factor = (10 hour decay factor)^1/10 = (0.2722)^1/10 = 0.8779
Now, Calculating the 5-hour decay factor,
5 hour decay factor = ( 1 hour decay factor )^5 = (0.8779)^5 = 0.521
Hence, the 5-hour growth/decay factor for the number of mg of caffeine in Bradley's body is 0.521
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Sal elrove 3000 miles in 75 hours. At this rate how long will it take to drive 4000 miles
Answer:
Step-by-step explanation:
First, we need to find the rate. miles/hours. 3000/75 = 40mph (miles per hour). to find the answer we need to divide the rate by the distance they want us to find. to see a deeper explanation of why scroll past the answer. 4000/40 = 100 hours.
deeper explanation:
we can set the numbers given to us equal to what we are looking for.
miles/hour
3000/75 = 4000/x x being the time we are looking for
cross multiply 3000x=300000
divide by 3000 x=100 hours
Write the equation of the line in y=mx+b form using the following two points:
(-2,-1) and (-1,-2)
Enter you equation here: type your answer....
10 points
Answer: The slope-intercept form for a line with the coordinates of (-2,-1) and (-1,-2) is:
y= -1.00x + -3.00
(results are in decimal form, rounded to the nearest 100th)
i hope i helped it is for if it was for like slope intercept form
Step-by-step explanation:
Which of the following statements are not true regarding functions?Check all that apply.A. A function is a relation in which each value of the input variable ispaired with at least one value of the output variable.I B. The vertical line test may be used to determine whether afunction is one-to-one.O C. A sequence is a function whose domain is the set of naturalnumbers.D D. The horizontal line test may be used to determine whether afunction is one-to-one.
Only B is not true, because the vertical line test is to know if a graph is from a function.
If g(x) = 4x + 3 and h(x) = 2x + 5, find g(h(x)) and g(h(0)).
(Show your work here)
Pls helppp I’d rly appreciate it!
Answer:
(4x + 3)(2x + 5)
4x(2x + 5) +3(2x + 5)
8x^2 +20x +6x + 15
8x^2 +26x + 15
so, g(h(x))=8x^2 +26x +15
again
(4x + 3)(2x +5).0
0
so, g(h(0))=0
high school seniors in a small town are asked a series of questions to measure the frequency of their drinking and driving. the students give consistent answers to the series of questions, but police records indicate that drinking and driving is much more common than indicated by the students' responses. this suggests that the measure of frequency of drinking and driving is:
When a study's findings are highly valid, it means that they accurately reflect the genuine features, traits, and variations in the physical or social reality. The measure of frequency of drinking and driving is: reliable but not valid.
What are the measure of frequency of drinking and driving?This option contends that although the survey's measure was not valid, it was dependable. This happens when research is constructed in a consistent but ineffective manner. In this instance, a sample of young people from a small town was taken into account; however, despite its consistency and reliability, it does not accurately reflect the findings of data from police records.
How well a method measures what it is supposed to measure is known as its validity. When a study's findings exists highly valid, it indicates that they accurately reflect the genuine features, traits, and variations in the physical or social reality. High dependability exists one sign of a valid measurement.
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can someone help me really quick
If the price of apples are proportional, the value of p is $6.75.
What is the value of p?If the relationship between the price of apples and the number of apples bought are proportional, it means that as the number of apples bought increases, the price paid would increase.
The function that represents the cost of purchasing apples is:
Total cost = cost per apple x number of apples bought
$4.50 = 6c
c = $4.50 / 6
c = $0.75
The price of 9 apples is p
p = 9 x $0.95
p = $6.75
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A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. price of 9 apples is $6.75.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
We need to find the value of p.
For 6 Apples the price is $4.5
We need to find for 9 apples.
For 9 apples the price is p, which we have to find
Let us form a equation to find it.
6/4.50=9/p
Apply cross multiplication
6p=4.5(9)
6p=40.5
Divide both sides by 6
p=6.75
Hence price of 9 apples is $6.75.
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the difference between the are of arc length and area of a sector please include the formulas for both in your answer
Person with the correct answer gets brainliest
in a research report by richard h. weindruch of the ucla medical school, it is suggested that mice with an average life span of 34 months will live longer when 30% of the calories in their food are replaced by vitamins and protein. what hypotheses should we use to test this claim?
A declaration of anticipation or prediction that will be put to the test through study is called a research hypothesis.
How do you calculate hypothesis example?
Different forms of hypothesis testing are used to establish whether or not the null hypothesis can be rejected depending on the type and quantity of the evidence supplied.The following list of significant test statistics includes the formula for testing hypotheses:z = ¯¯¯x−μσ√n x ¯ − μ σ n . We already know that the z-score is 1.645 and the level of significance is 0.05.Let's compare it to the Z-test now.Because 0.744 1.645, the null hypothesis is true.So, the assertion made by the firm that the average lifespan of their batteries is 2.1 years is validated. The null hypothesis is typically represented in statistics by the letter H with the subscript "0" (zero), creating the symbol H0.It is said with the sound "H-null," "H-zero," or "H-nought."The alternative hypothesis also describes the observations that were determined by the non-random cause.H1 or Ha are used to symbolize it.The assertion that will be put to the test is the alternative to the null hypothesis.It is designated as H1 and contains the parameter's value that we believe to be plausible.The test statistic, which is a number calculated from the sample data, is used to determine whether to accept or reject the null hypothesis. An example of a straightforward hypothesis is that daily consumption of sugary beverages causes obesity.An illustration of a null hypothesis is that all lilies have the same number of petals.A person will feel less worn out if they receive 7 hours of sleep as opposed to sleeping fewer.To learn more about hypotheses refer
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Practice Problems
1. Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels
22 meters in 10 seconds. Who was moving faster? Explain your reasoning
2. Here are the prices for cans of juice that are the same brand and the same size at
different stores. Which store offers the best deal? Explain your reasoning
Store X: 4 cans for $2.48
per can
Store Y: 5 cans for $3.00
Store Z: 59 cents
Topic B
3. Costs of homes can be very different in different parts of the United States.
1. A450-square-foot apartment in New York City costs $540,000. What is the
price per square foot? Explain or show your reasoning
2. A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square
foot. How much does this home cost? Explain or show your reasoning
4. There are 33.8 fuld ounces in a liter. There are 128 fuid ounces in a galon. About
how many liters are in a gation?
A 2
B. 3
C. 4
D. 5
Is your estimate larger or smaller than the actual number of liters in a gallon? Explain
how you know.
-
Answer:
1. Mai was moving faster as she covered a greater distance in the same amount of time.
Speed = Distance
-----------
Time
2. The best deal is Store Z. We must divide to determine the price each business is charging for a single can in order to particularly choose the greatest deal.
For Store X, each can is $0.62
For Store Y, each can is $0.60
Store Z is the best deal due to how cheap each can of juice costs.
3 (Part 1) It costs $1,200 for each square foot. The cost of the apartment is $540,000 & the area of the apartment is 450 feet. You can divide 540,000 by 450 and you should get 1,200.
3 (Part 2) The home costs $231,000. You can use the two numbers in the question "2,100" and "110". You should get $231,000 after adding those two numbers.
4. Approximately 3.8 liters are in a gallon. 3.8 is closest to 4 so you can round it up to 4 liters.
Step-by-step explanation:
Draw the preimage and image of the polygon with the vertices X(-1,4), Y (2,2), and Z(0,-1) translated using the vector <2,-37>
Answer:
12
Step-by-step explanation:
Jill earns $264.50 a week. She is married and claims 3 allowances. What amount is withheld weekly for federal income tax?
As Jill claims 3 allowances then the amount which is withheld weekly for federal income tax is $11.
Given, Jill earns $264.50 a week.
She is married and claims 3 allowances.
From the table if the wage of a married person is at least $260 but less than $270 and has 3 allowances then weekly income tax is $11.
Individual federal income tax rates in the US are progressive, which means that they rise in proportion to taxable income. Federal income tax rates range from 10% to 37%, and they become effective at a certain level of income. Tax brackets are the ranges of income that the rates apply to. Each tax bracket has a different rate of taxation that applies to certain types of income.
Hence the amount is $11 for federal tax.
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devon has 15 dollars to spend on snacks. the corner store has candy bars for $1 and sports drinks for $3. he only wants to purchase at most 10 items.
Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend.
According to the question,
We have the following information:
Devon has $15.
Cost of 1 candy bar = $1
Cost of 1 sports drink = $3
Devon wants to purchase at most 10 items.
It means that the total items should be less than or equal to 10.
Now, we have to spend $15 in such a way that number of items should be less than or equal to 10.
Now, we will look for the number of items for sports drink and change the number of candy bars accordingly.
Let's take 1 sports drink:
$3
We are left with $12. Now, there will be 12 candy bars.
So, this can not satisfy our conditions.
Let's take 2 sports drink:
$6
We are left $9. Now, there will be 9 candy bars. And the number of items is 11.
(This is not satisfying our condition.)
Let's take 3 sports drink:
$9
We are left with $6. Now, there will be 6 candy bars. And the number of items is 9.
This is satisfying all the conditions.
Hence, Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend on snacks.
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WILL GIVE BRAINLIEST PLS HELP
Passed exam | Did not pass exam | Row Totals
Completed exam review | 55% | 10% | 65%
Did not complete exam review | 20% | 15% | 35%
Column Totals | 75% | 25% | 100%
Part A: What is the percentage of students who failed the exam, given that they completed the exam review? Round to the nearest percentage. (2 points)
Part B: What is the percentage of students who failed the exam, given that they did not complete the exam review? Round to the nearest percentage. (2 points)
Part C: Is there an association between failing the exam and completing the exam review? Justify your answer. (2 points)
Answer:
A: 15%
B: 43%
C: yes
Step-by-step explanation:
You want the percentages of students who failed the exam, given that they (A) did, or (B) did not complete the exam review. You also want to know if this indicates an association between failing and reviewing.
NotationLet F represent the event "failed the exam." Let R represent the event "completed the exam review." R' will be the event "did not complete the review."
A: P(F|R)The probability is ...
P(F|R) = P(F&R) / P(R)
P(F|R) = 0.10/0.65 = 2/13 ≈ 15%
About 15% failed who completed the review.
B: P(F|R')P(F|R') = P(F&R') / P(R')
P(F|R') = 0.15/0.35 = 3/7 ≈ 43%
About 43% failed who did not complete the review.
C: AssociationIf the events "Failed the exam" and "Completed the review" were independent, then the probability of one would not be conditional upon the other. Here, the probability of failing is clearly different for those who completed the review, so there is an association between failing the exam and completing the exam review.
<95141404393>
this sentence is false
Answer: what sentence ?
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The sentence is true because if it is true, then the sentence is false.
You are asking if the sentence is false, and it is false, so the question you asked is true.
This is so confusing though...
hemoglobin determinations were made on sixteen animals exposed to ionizing radiation. the following observations were recorded: 15.6, 14.4, 14.8, 13.8, 16.6, 14.0, 17.4, 17.3, 18.6, 16.2, 15.7, 14.7, 16.4, 13.9, 14.8, 17.5. construct a 95 percent confidence interval for population standard deviation?
The required values for a 95 percent confidence interval for population standard deviation are CI₈² = [1.1894, 5.221]
CI₈ = [1.0906, 2.2849]
n = 16, Standard Deviation = 1.4764, Var = 2.1796
X²₀.₀₂₅,₁₅ = 6.26, X²₀.₉₇₅,₁₅ = 27.49
CI₈² = [(15ₓ2.1796/27.48),(15ₓ2.1796/6.26)] = [1.1894, 5.221]
CI₈ = [[tex]\sqrt{15*2.1796/27.48} , \sqrt{15*2.1796/6.26}[/tex]] = [1.0906, 2.2849]
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Solve the inequality b+ 5 ≥ -12
The solution of the inequality is b ≥ -17.
Given inequality:-
b + 5 ≥ -12
We have to find the solution of the inequality.
Subtracting 5 from the given inequality, we get
b + 5 - 5 ≥ -12 - 5
b + (5 - 5) ≥ -17
b + 0 ≥ -17
b ≥ -17
Hence, b can be equal to or greater than -17.
Inequality
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
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The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238 . Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size =500 of young adults ages 20–39 in the United States.
Apply the central limit theorem to find the probability that the number of individuals, , in Lance's sample who regularly skip breakfast is greater than 126 . You may find table of critical values helpful.
Express the result as a decimal precise to three places.
(>126)=
Part 2: Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 98 . Express the result as a decimal precise to three places.
(<98)=
Using the normal approximation to the binomial, it is found that there is a 35.57% probability that the number of individuals in Lance's sample is.
What is Normal Probability Distribution?In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
z = x - [tex]\mu[/tex]/ [tex]\sigma[/tex]
Normal Probability Distribution measures how many standard deviations the measure is from the mean.
In this problem:
The proportion of young adults ages 20–39 who regularly skip eating breakfast is given as 0.238, hence p = 0.238
A sample of 500 hence n = 500
The mean and the standard deviation are given by:
[tex]\mu[/tex] = 500 ( 0.238) = 119
[tex]\sigma[/tex] = 9.5225
The probability that the number of individuals in Lance's sample who regularly skip breakfast will be greater than 122, using continuity correction, then the p-value of Z when X = 122.5.
z = x - [tex]\mu[/tex]/ [tex]\sigma[/tex]
z = 122.5 - 119/ 9.5225
z = 0.37
Then p-value of 0.6443.
1 - 0.6443 = 0.3557.
0.3557 = 35.57%is the probability that the number of individuals in Lance's sample who regularly skip breakfast is greater than 122.
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