This problem is about direct variations. We can solve it usig "the rule of three".
We know that y=1.44 when x=1.8, this is a given ratio which will multiply x=6.3
\(6.3\cdot\frac{1.44}{1.8}=\frac{6.3\cdot1.44}{1.8}=\frac{9.072}{1.8}=5.04\)Therefore, when x=6.3, y=5.04.Which number is located between 8710and95?
-8 7/10 and -9 2/10
-8-7/10 = -87/10
-9 - 2/10= -92/10
Answer is -9 1/10 = -91/10
because -91 is between -87 and -92
Answer is OPTION B))
27 mm converted to in m
1.063 inches
0.027 meters
hope it helps!
Determine whether y^2=−2x−2 is a function
Answer:
It is not a function.
The mean of 5 numbers is 4, 4 of the numbers are 3,5,4,4 what is the missing number
Answer:
6 I think have a great day
A soccer team is planning to sell candy bars to spectators at their games. They will buy two-pound bags of candy. The number of candy bars per bag has mean 12 and standard deviation 2. They will sell each candy bar for $1.25. (Assume that all of the candy in a bag will be sold.)
1. What is the expected value and the standard deviation for the amount of money that would be made selling all of the candy in one bag of candy?
The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.
What exactly is a standard deviation?The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.
The expected value for the amount of money made selling all of the candy in one bag can be found by;
Expected value = mean number of candy bars per bag x price per candy bar
Expected value = 12 x $1.25 = $15
Formula for the standard deviation of a product of random variables:
\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)
where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.
X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:
E(Y²) = $1.25² = $1.5625
E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148
Cov (X,Y) = 0 (because X and Y are independent)
Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:
\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)
SD = √(592)
SD ≈ $24.33
Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.
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If I add 35 mL of water to 225 mL of a 0.45 M NaOH solution, what will the molarity of the diluted solution be?
Answer:
I don't know the answer what is the answer
I don't know, do you know?
If the sales tax rate is 7.8%, what will be the amount of sales tax on a $74 calculator?
State your answer in terms of dollars, rounded to the nearest cent
Do not include a $ sign with your response.
Answer:he sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Step-by-step explanation:
will this help
If 12.6cm on the map is equal to 1262km in real life, determine the unit scale of the map
Answer:
1unit scale on map is equal to 100.16 km in real life
Step-by-step explanation:
since in map 12.cm =1262km in real life
1cm=(1262/12.6) km
therefore it gives us 100.158km which is approximately 100.16 km .
which inequality shows the relationship between the plotted points on the number line
Answer:
I hope this help you!!! if it doesn't im sorry
Which linear inequality is represented by the graph?
Help me please
help me before my teacher comes
(A) The equation 6x + 2y = - 12 in slope intercept form is y = - 3x - 6
Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.
Consider the equation,
6x + 2y = - 12
The equation of a line in slope intercept form is given as:
y = mx + b where m is the slope and b is the y-intercept.
Now,
6x + 2y = - 12
Subtracting 6x from each side of the equation,
6x + 2y - 6x = - 12 - 6x
2y = - 12 - 6x
Dividing each side of the equation by 2,
y = - 3x - 6
Comparing the equation with y = mx + b.
m = - 3 and b = - 6
Therefore, the equation in slope intercept form is y = - 3x - 6.
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simplify
\( \sqrt{48} \)
simplify the following radical expression
Answer:
\(4\sqrt{3}\)
Step-by-step explanation:
\(48\\\\=2*24\\\\=2*2*12\\\\=2*2*2*6\\\\=2*2*2*2*3\\\\=2^2*2^2*3\\\\\Rrightarrow \sqrt{48}\\\\=\sqrt{2^2*2^2*3}\\\\=2*2\sqrt{3}\\\\=4\sqrt{3}\)
Bertie has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berti can buy ?
Answer:
Step-by-step explanation:
Bertie's $12.00 will buy (12) / ($3.75/gal), or 3.2 gallons.
The ordered pair in quewtion is (3.2, $12),
Answer:
(3.2,12)
Step-by-step explanation:
PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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find the size of an angle which is five times its supplement
Two supplementary angles when addd together equal 180.
let one angle = x
The second angle is 5 times that so would be 5x
x + 5x = 180
Simplify:
6x = 180
Divide both sides by 6:
X = 30
One angle is 30, the second angle would be 150
The answer is 150
What type of function is represented in the table y = -1
In a study investigating the effect of car speed on accident severity, the vehicle speed at impact was recorded for 5,000 fatal accidents. For these accidents, the mean speed was 46 mph and the standard deviation was 13 mph. A histogram revealed that the vehicle speed distribution was mound shaped and approximately symmetric. (Use the Empirical Rule.) (a) Approximately what percentage of vehicle speeds were between 33 and 59 mph
Answer:
68%
Step-by-step explanation:
Given that:
Mean speed (m) = 46
Standard deviation (s) = 13
Approximately what percentage of vehicle speeds were between 33 and 59 mph
Obtain the Zscore for P(Z < x) for both values and subtract :
For x = 33
Zscore :
Z = (x - m) / s
Z = (33 - 46) / 13 = - 1
p(Z < - 1) = 0.15866 ( Z probability calculator)
For x = 59
Zscore :
Z = (x - m) / s
Z = (59 - 46) / 13 = 1
p(Z < 1) = 0.84134 ( Z probability calculator)
Hence, 0.84134 - 0.15866 = 0.68268 = 0.68
0.68 * 100% = 68%
What are the three ordered pairs that should be in the table of values y=2x-3
Answer:
(-2, -7), (0, -3), (2, 1)
Step-by-step explanation:
Equation is given as y = 2x - 3.
To complete the table, plug in each value of x into y = 2x - 3 to get their corresponding y-value.
✔️When x = -2:
y = 2(-2) - 3
y = -4 - 3
y = -7
✔️When x = 0:
y = 2(0) - 3
y = -3
✔️When x = 2:
y = 2(2) - 3
y = 4 - 3
y = 1
Vivek graphs the equations and to solve the equation His graph is shown below.
What are the solutions of
–4 and 2
–4 and 1
0 and 4
1 and 4
The solutions of the equation of the graph is -4 and 2.
What is solution of equation?An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.
We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.
In the given graph the point of intersection of the two equations are at x = -4 and x = 2.
Hence, the solutions of the equation of the graph is -4 and 2.
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The complete question is:
A county planner is looking at trends in population growth for two towns, Hapville and Merton.
The population of Hapville in the year 2000 was 18,000. Since then, the population has increased at a steady rate of 500 per year.
The population of Merton is increasing according to the equation y=12,000(1.04)t , where y = the population in thousands and t = the number of years since the year 2000.
If these trends continue, how will the populations of the two towns compare in 2030?
Answer:
Merton will have about 6,000 more people than Hapville
Step-by-step explanation:
Merton
y = 12,000(1.04)^(30)
y = 12,000(3.24339)
y = 38,920.77012
Hapeville
y = 18,000 + (30 x 500)
y= 18,000 + 15,000
y = 33, 000
Merton - Hapeville
38,920.77012 - 33,000 = 5920.77012
Therefore Merton will have about 6,000 more people than Hapville
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes:
3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6
The experimental probability of rolling an odd number is ______%, which is ________% more than the theoretical probability.
It has been a good while since I have done this type of work so I am deeply sorry if I am wrong.
The experimental probability of rolling an odd number is around 683.3333%, which is 58.3333% more than the theoretical probability.
Again I am deeply sorry if I am wrong, have a good rest of your day!
The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
A special 8-sided die is marked with the numbers 1 to 8.
It is rolled 20 times with these outcomes:
{3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6}
The experimental probability of rolling an odd number is :
⇒ 12/20
⇒ 0.6
The percentage of experimental probability = 0.6 × 100 = 60%
Theoretical probability as:
⇒ 4/8 × 100 = 50%
Difference between experimental and theoretical probability
⇒ 60 - 50 = 10%
Hence, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
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Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Is the product positive or negative? Why?
The multiplication expression with eight rational factors are ''positive''.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.
Hence, The multiplication expression with eight rational factors are positive.
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Work out the length of x. Give your answer rounded to 3 significant figures. 13.3 mm 5.5 mm The diagram is not drawn accurately. X = 0 mm x
Step-by-step explanation:
Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.
To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.
Perimeter = 13.3 mm + 5.5 mm + X mm
The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.
To find X, we can subtract the sum of the known sides from the perimeter:
X mm = Perimeter - (13.3 mm + 5.5 mm)
Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.
pls helppp this is so confusinggg
Answer: .025
Step-by-step explanation: we first have to find the distance between each term we divide 12/5 by 6 you have to change it into multiplication so you invert is to 12/5 times 1/6 you then get 12/30 you reduce that to become 2/5 if you want to test this to make sure it is right then you can. you then use a formula but I can't remember it so then you can just multiply it several times to find the answer. you get the answer by round from the thousandths
Q.1
According to the Department of Food and Nutrition, the recommended daily allowance (RDA) of calcium for adults is 800 mg. A nutritionist thinks that people with income below poverty level average less than RDA of 800 mg. intakes of calcium were determined for a sample of 40 people with income below poverty level. The results are obtained in the following frequency distribution. Compute the quartiles.
Intake (mg) Frequency
101-200 1
201-300 1
301-400 9
401-500 13
501-600 10
601-700 6
The quartiles of the distribution are given as follows:
First quartile: 350.5 mg.Second quartile: 450.5 mg.Third quartile: 550.5 mg.How to obtain the quartiles of the distribution?The sample size of the distribution is of:
n = 40.
The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:
Position: 0.25 x 40 = 10.Value: 350.5 mg -> mid-point of the bounds of 301 and 400.The second quartile is the value that is greater than 50% of the distribution, hence it is the value at the position which is 50% of the sample size, hence:
Position: 0.50 x 40 = 20.Value: 450.5 mg.The third quartile is the value that is greater than 75% of the distribution, hence it is the value at the position which is 75% of the sample size, hence:
Position: 0.75 x 40 = 30.Value: 550.5 mg.More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525
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Nolan is 11
4
5
years old. Jillian is 1
1
6
years older than Nolan and Jane is 1
1
3
years older than Jillian. How old is Jane?
Answer:
Jane is 13.
Step-by-step explanation:
Nolan is 11
Jillian is 12 because Jillian is 1 year older than Nolan.
Jane is one year older than Jillian. Which leads to the statement that Jane is 13 years old.
Use absolute value to express the distance between -12 and -15 on the number line
A: |-12-(-15)|= -37
B: |-12-(-15)|= -3
C: |-12-(-15)|= 3
D: |-12-(-15)|= 27
[3r-15] if r is less than 5
When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.
Given that r is less than 5, let's substitute r = 4 into the expression:
[3(4) - 15]
= [12 - 15]
= -3
Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.
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risky teenage behaviour on one's wellbeing by referring to the following sphere of well-being emotlonal
Answer:
a
Step-by-step explanation: