Yes, there are many rational numbers that can be plotted between 1/2 and 2/3 on the number line. Here are a few examples:
1/2 + 1/6 = 5/6: This rational number is greater than 1/2 and less than 2/3.
2/5: This rational number is also greater than 1/2 and less than 2/3.
1/3: This rational number is halfway between 1/2 and 2/3.
To plot a rational number on a number line, you can start by drawing the number line and marking off the positions of 1/2 and 2/3. Then, you can locate the position of the rational number you are trying to plot by dividing the distance between 1/2 and 2/3 into equal segments and finding the position of the rational number within those segments. For example, if you wanted to plot 5/6, you could divide the distance between 1/2 and 2/3 into six equal segments, and then mark the fifth segment as the position of 5/6 on the number line.
A quantity decreases by 2% for each of 10 years. What is its percentage decrease over the 10-year period? (Round your answer to two decimal places.
Answer:
20%
Step-by-step explanation:
2 x 10 = 20
20%
a factory bottles 360 bottles of juice in 5 minutes find the factory’s into rate bottles per minute
The factory produces 72 bottles of juice per minute.
What is the rate?
A rate is a special ratio in which the two terms are in different units. If a 12-ounce can of corn costs $69, the rate is $69 for 12 ounces. This is not a proportion of two comparable units, such as shirts. This is a proportion of two dissimilar units: cents and ounces.
To find the factory's production rate in bottles per minute, we need to divide the number of bottles produced by the time it took to produce them. In this case, the factory produced 360 bottles in 5 minutes, so the production rate is:
360 bottles / 5 minutes = 72 bottles/minute
This means that the factory produces 72 bottles of juice per minute.
Hence, the factory produces 72 bottles of juice per minute.
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Wes made 8 cups of fresh peanut butter and divided equally among 6 jars.- How much
peanut butter went in each container?
Answer:
Step-by-step explanation:
1 1/3 cups peanut butter
proof:
1 1/3 +1 1/3+1 1/3+1 1/3+1 1/3+1 1/3 = 8 cups
What are the equation in slope of the line that is perpendicular to the Y axis and goes through the point (-2,3)?
A. X=-2, slope is undefined
B. X=3, slope is undefined
C. Y=3, slope is 0
D. X=-2, slope is 0
Please help. Thank you
Answer:
C
Step-by-step explanation:
A line perpendicular to the y-axis is a horizontal line
Horizontal lines have slope = 0
answer C y = 3 slope = 0
If you rent a car from Caleb's Cars, you'll pay a $61 fee
and $24 per day. At Vinny's Vehicles, you'll pay a $105 fee and $20 per day. Determine the number of days you can rent a car from either place and pay the same amount. Use substitution or elimination. Thank you:)
The number of days to rent a car at either place and pay thesame amount is 11 days
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time.
Let the number of days to repay after a down payment be x and the y represent the total payment.
Therefore 61+24x= y equation 1
105+ 20x = y equation 2
subtract equation 1 from 2
105-61+20x-24x= 0
44-4x= 0
4x = 44
divide both sides by 4
x= 44/4
x= 11 days
therefore the number of days to rent a car at either places and pay thesame amount is 11 days
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What is √73 in exponential form?
O
314
7
DONE
Answer:
To write √73 in exponential form, we can use the fact that the square root of a number is the same as that number to the power of 1/2. Thus, we can write √73 as 73^(1/2).
Here's how we can show this using algebraic steps:
First, we can write the square root as a fractional exponent:
√73 = 73^(1/2)
Next, we can rewrite the fractional exponent using the rule that says that a^(m/n) = (a^m)^(1/n):
√73 = (73^1)^(1/2)
Finally, we can simplify the expression by evaluating the power of 1:
√73 = (73)^(1/2) = 73^(1/2)
Therefore, √73 can be written in exponential form as 73^(1/2).
What is the answer i need answers now I'm am going to fail
Answer:
5f + 4s
Step-by-step explanation:
Third option
Plssss help What is the solution to the system? 2x-2y=2, y=-5x+14
Answer:
x=2.5, 5/2
y=1.5, 3/2
Step-by-step explanation:
2x-2(-5x+14)=2
2x+10x-28=2
12x=30
x=2.5
y=-5(2.5)+14
y=-12.5+14
y=1.5
Find the x-intercept of the line 5x + 17y = -25
x - intercept =
Find the y-intercept of the line 6x - 7y = -21
y - intercept =
Answer: To find the x-intercept of a line, we set y equal to 0 and solve for x. To find the y-intercept of a line, we set x equal to 0 and solve for y.
For the line 5x + 17y = -25, we set y equal to 0 to find the x-intercept:
0 + 17y = -25
17y = -25
y = -25/17
Since we set y equal to 0, the x-intercept is (0, 0).
For the line 6x - 7y = -21, we set x equal to 0 to find the y-intercept:
6x - 7y = -21
-7y = -21
y = 21/7
Since we set x equal to 0, the y-intercept is (0, 21/7).
Therefore, the x-intercept of the line 5x + 17y = -25 is (0, 0) and the y-intercept of the line 6x - 7y = -21 is (0, 21/7).
What is the sampling method that involves taking a random selection of people from a defined population?.
Simple random sampling is a sort of probability sampling in which a selection of participants is randomly chosen from a population by the researcher.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward application.
Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.
Hence, In probability sampling, a sample is chosen from a population based on the randomization principle, also known as chance or random selection.
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PLEASE HELP HURRY!!!!
On solving the provided question, we got by the help of Slope formula - [tex]= 5x - y + 5 = 0[/tex]
What is Slope?A line's slope can be calculated as the ratio of how much y rises when x rises by a specific amount. A line's slope, or how much y increases as x increases, is indicated by the word "slope." Along the straight line, the slope is constant (equal) everywhere.
From the figure we got that,
X1 = 0, Y1 = 5
X2 = -1, Y2 = 0
(0,5) and (-1,0)
By the of slope formula
[tex]\frac{y - y1}{x - x1} = (\frac{y2 - y2}{x2 - x1} )(\frac{x - x1}{y - y1} )[/tex]
[tex]{y - 5} = (\frac{0-5}{-1-0} )({x - 0 )\\\\\\[/tex]
[tex]= > 5x - y + 5 = 0[/tex]
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write each equation in point slope form.
y+5=-6(x+7)
and y+2 =1/6(x-4)
The equation of line in slope-intercept form is,
a.) y = -6x - 47
b.) y = x/6 - 8/3
What is Equation of line ?
A straight line's general equation is y = mx + b, where m denotes the gradient and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.
We know, slope-intercept form is
y = mx + b
The given equation is in point slope form,
a.) y + 5 = -6 (x + 7)
b.) y + 2 = 1/6 (x-4)
Now, let's write each equation in slope-intercept form,
a.) y + 5 = -6 (x + 7)
y + 5 = -6x - 42
y = -6x - 42 - 5
y = -6x - 47 [which is slope-intercept form]
b.) y + 2 = 1/6 (x-4)
y + 2 = 1/6 * x - 1/6 * 4
y + 2 = x/6 - 2/3
y = x/6 - 2/3 - 2
y = x/6 - [2/3 + 2]
y = x/6 - [(2 + 6) / 3 ]
y = x/6 - 8/3 [which is slope-intercept form]
Hence, the equation of line in slope-intercept form is y = -6x - 47 and y = x/6 - 8/3
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rewrite 27 1/3 using roots
The value of the exponent illustrated as 27^1/3 is 3.
How to illustrate the exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
In this situation, it should be noted that 27^1/3 simply means the cube root of 27. This will give a value of 3.
Check: 3 × 3 × 3 = 27.
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in a paired test, a factor is what you are testing to see the effect of because its effect is unknown. group of answer choices true false
True, In a paired test, a factor is what you are testing to see the effect of because its effect is unknown.
The paired t-test is a technique for determining whether or not the mean difference between two measurement pairs is zero. When your data values are paired measurements, you can apply the test.
The dependent samples t-test, paired difference t-test, matched pairs t-test, and repeated-samples t-test are other names for the paired t-test. You might not be able to test for normality if your sample sizes are too small. You might have to rely on your comprehension of the information. You might also do a nonparametric test that doesn't make the assumption of normality.
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Question regarding Modulus attached below.
Answer:
x=4/3, 8/3
Step-by-step explanation:
We will solve this in two steps, one where the right hand side is 2, one where it is -2. This is because the equation is satisfied either way when [tex]|6-3x|[/tex] is equal to either of those values.
Let's start with 2. We have [tex]6-3x=2[/tex]. Subtracting 6 from both sides and then dividing by 3 gives us that x = 4/3. This is the first value.
Now, we solve for when it equals -2. We have [tex]6-3x=-2[/tex]. Subtracting 6 from both sides and then dividing by 3 gives us that x = 8/3. This is the second value.
Feel free to contact me with any questions about my answer. I hope this helps!
Consider the probability that greater than 90 out of 149 software users will not call technical support. Assume the probability that a given software user will not call technical support is 56%. Approximate the probability using the normal distribution. Round your answer to four decimal places.
Answer:
0.1220
Step-by-step explanation:
You want the probability that greater than 90 out of 149 software users will not call tech support, given that the probability a given user will not call is 56%. You want the value using the normal approximation to the binomial distribution.
Normal approximationFor a sample size of n, and probability p of "success", the normal approximation to the binomial distribution can be used if ...
min(pn, (1-p)n) > 5
Here, that is ...
min(0.56·149, 0.44·149) > 5
65.6 > 5 . . . . . . . . true, the normal approximation is appropriate
Then the parameters of the normal distribution are ...
µ = pn = 0.56·149 = 83.44
σ = √((1-p)µ) = √(0.44·83.44) ≈ 6.0592
Continuity correction factorThe probability that X = N will occur can be considered to be ...
P(N -0.5 < X < N +0.5)
Then the probability that X > N will be modeled using the normal distribution as ...
P(X > N +0.5)
For this problem, we want ...
P(X > 90.5) . . . . using the normal distribution with µ = 83.44, σ = 6.0592
The attached calculator shows that value to be ...
P(>90) ≈ 0.1220 . . . . . . rounded to 4 decimal places
__
Additional comment
A probability calculator says the actual binomial distribution result for this problem is 0.1217.
You receive paychecks every two weeks. Your first paycheck is for $217. The second is for $258. The third is for $229. What is the combined value of these three paychecks?
Answer:
The combined value is $704
If you want the average pay as well it is about $235
Step-by-step explanation:
The problem asks for the combined value of the three paychecks. So all you have to do is add them to get 704.
I found the average value by adding them to 704 then dividing it by 3. The 3 came from the amount of values we have which is 3 paychecks. So we divide the total cost by 3 to get 235.
Here are the ingredients needed to make 8 pancakes.
James makes 24 pancakes.
Pancakes
Ingredients to make 8 pancakes
250 ml milk
1 egg
140 g flour
5 g butter
a) Work out how much milk he needs.
Using proportions, James need 750ml for 24 pancakes
ProportionProportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
To find the amount of milk James need, we need to use proportions.
8 pancakes = 250ml milk
24 pancakes = x
cross multiply both side and make x the subject of formula
8 × x = 24 × 250
8x = 6000
Divide both sides by coefficient of x
8x / 8 = 6000 / 8
x = 750
He needs 750 ml of milk
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The low temperature on Saturday was 10 degrees below zero degrees Celsius. On Sunday, the low temperature was 30 degrees
warmer.
Which two statements apply to the low temperature on Sunday?
A Temperature on Sunday was 40°C.
B
C
Temperature on Sunday was 20°C.
The temperature on Sunday was 20 degrees below zero degrees Celsius.
The temperature on Sunday was zero degrees Celsius.
L
E
The temperature on Sunday was 20° C
A group of friends collected toys to donate to children in need. After sorting the toys into
boxes, they found they had 6/7 of a box of stuffed animals, 5/7 of a box of board games, and
1/7 of a box of dolls. In total, how many boxes of toys did the friends collect?
Answer: 12/7
Step-by-step explanation: The answer is 12/7 because here is what we know: A group of friends collected toys to donate to children in need. After sorting the toys into boxes, that's what we know, we also know that they found they had 6/7 of a box of stuffed animals, and we also know that they found 5/7 of a box of board games and
1/7 of a box of doll. What they want to know is In total, how many boxes of toys did the friends collect? so you take 6/7 from the box stuffed animals they found + 5/7 from the box of board games they found which equals 11/7 then you add the 11/7 with the 1/7 the box of dolls they found. In total the friends collect 12/7 boxes. Hope this helps!
Divide (25)1,658.To find the quotient, start by dividinginto____.
On dividing 1658 by 25 , the quotient is equal to 66.32.
As given in the question,
Dividend is equal to 1,658
Divisor is equal to 25
Unit place value of 1658 is equal to 8.
25 is not a factor of 1658
Smallest number to 1658 divisible by 25 is 1650
Divide 1658 by 25 we get remainder
Dividend = ( Divisor × quotient) + remainder
1658 = 1650 + 8
= ( 25 × 66 ) + 8
Remainder is equal to 8
Quotient is equal to 66
In decimal form
1658 ÷ 25
= 66.32 is quotient.
Therefore, the quotient of dividing 1658 by 25 is equal to 66.32.
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Answer:
check this one
Step-by-step explanation:
this is the answer
8. Critique Reasoning Franco made this graph to
show the equation y=-x. Is the graph correct?
Explain.
Answer:
No
Step-by-step explanation:
The graph should be a line with negative slope, but the given graph is of a line with positive slope
What is the density of a pumpkin with a mass of 2.0 kg and a volume of 0.0060 m3 ? 330 kg/m3 0.003 kg/m3 0.012 kg/m3 1200 kg/m3
The density of a pumpkin with a mass of 2.0 kg and a volume of 0.0060m³ is 0.003 kg / m³.
What is the density?Density of the matter means space taken by matter.
To find the density, density = mass of matter / volume of mass.
Given that mass of the pumpkin 2.0 kg and a volume of 0.0060 m³.
Now the density from the formula;
Density = mass of pumpkin / volume of pumpkin
Density = 2.0 / 0.0060
Multiply by 10000,
Density = 20000 / 60
Density = 2000 / 6
Density = 1000 / 3
Density = 0.003 kg / m³
Therefore, the density of a pumpkin with a mass of 2.0 kg and a volume of 0.0060m³ is 0.003 kg / m³
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find the coordinate of the midpoint of a segment with the given endpoints T(-5,4) and D(7,2)
Answer: (-1, 3)
Step-by-step explanation:
Midpoint formula: ((x1 + x2) / 2, (y1+y2) / 2)
((-5+7)/2, (4+2) / 2))
((-2/2), (6/2))
(-1, 3)
write an equation of the line, passing through the points (-5,-25) , (0,0), and (3,15)
Answer:
y =5x
Step-by-step explanation:
y = 5x
Because the slope is 5 and the y-intercept is 0.
how to determine the intercepts of the line with -5x+9y=-18
Answer:
-5x+9y=-18
Dividing both sides by -18
-5x/-18+9y/-18=-18/-18
5x/18-y/2=1
x/(18/5)-y/2=1. eqn(i)
eqn (i) is comparing with x/a+y/b=1, we get
x - intercept (a) =18/5
y-intercept (b) = -2
Which graph represents the solution to 5 + 8x < 3 (2x+4)?
Graph (D) represented the inequality solution of 5+x<3(2x+4).
What do we mean by the graph?The set of ordered pairs is the graph of a function f in mathematics, where These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.
To develop a graph is to make a diagram that depicts the relationship between two or more objects.
Make a sequence of bars on graph paper as an example of a graph.
So, we have the inequality:
5 + 8x < 3 (2x+4)
Now, we need to plot this on the graph:
(Refer to the graph attached below)
We can easily tell that this is identical to graph sin option (D).
Therefore, graph (D) represented the inequality solution of 5+x<3(2x+4).
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6. Which is equivalent to the following expression?
(3p² +5pq-q²) + (p² +3pq-2q
2
9²)
O3p² +8pq-3q²
O4p² +8pq+q²
O4p4 +8pq-3q
O4p²+8pq-3q²
(1 point)
Answer:
Step-by-step explanation:
5
do you think it makes sense to use the statistician's model to predict the calories in food items from the fast food restaurant quiteaburger? explain why or why not.
The statistician model makes sense to predict the calories in food items.
What is statistician's model ?A mathematical model called a statistical model contains a collection of statistical presumptions about how sample data are produced (and similar data from a larger population). A statistical model simulates the process of creating data, frequently in a highly idealised form.
Yes it makes sense to use the statistician model to predict calories calories in food items because the test of the overall model I.e F test is significant at any level of significance because the p value (2.2 e^-16) is approximately zero which indicates that the model Is significant.
And also the individual test of each variable are all significant at any significance level (alpha) with p values ( 2e^-16, 2e^-16, 1.36e^-6).
Thirdly we can say of the strength of the relationship between calories and the independent variable through the R value = √R square = √0.929 = 0.9638 which indicates a strong relationship between them.
Therefore, the statistician model makes sense to predict the calories in food items.
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function rule to find f(9).
1
substitute 9 as x because 9 is in the brackets
then follow bidmas
brackets first so -10 + 9 = -1
now indices so square -1 which is 1.
therefore you answer is 1