33/25 as decimal is 1.32
A restaurant's seating is completely full. There
are some four-person tables and 8 tables withcouples. If there are 56 people here, how many
four-person tables are there?
8xy + 14x + 4x - 2xy + 6y
I NEED HELP ON IT
Answer:
Welp i dont have your help you need
Step-by-step explanation:
Because i just dont
test again Add.
3/8+3/8
Answer:
3/4 or 0.75
Step-by-step explanation:
\( \frac{3 }{8} + \frac{3}{8} \)
transform the equation
\( \frac{3 + 3}{8} \)
calculate
\( \frac{6}{8} \)
simplify
\( \frac{3}{4} \)
or 0.75
Which equation is equivalent to 2x + 3y = 12?
y=2/3x+4
y= -2/3x+12
y= -2/3x+4
y=2/3x+12
Answer:
y= -2/3x + 4
Step-by-step explanation:
2x + 3y = 12
3y = 12 - 2x
3y/3 = 12/3 - 2x/3
y = 4 -2x/3
y = -2x/3 + 4
At a doctor's office, a vaccine must be measured at exactly 15 milligrams. How many centigrams is the equivalent of 15 milligrams?
Complete the table for the equation of the line y = 3x - 1 X
f(x)
-1
0
2
Answer:
Step-by-step explanation:
Given the equation of a line expressed as y = 3x-1, we are to find y = f(x) for the following values of x in the table.
If y = 3x-1, then f(x) = 3
When x = -1
f(-1) = 3(-1)-1
f(-1) = -3-1
f(-1) = -4
Hence when x = -1, f(x) = -4
When x = 0
f(0) = 3(0)-1
f(0) = 0-1
f(0) = -1
Hence when x = 0, f(x) = -1
When x = 2
f(2) = 3(2)-1
f(2) = 6-1
f(2) = 5
Hence when x = 2, f(x) = 5
bounded by the paraboloid z = 4 + 2x2 + 2y2 and the plane z = 10 in the first octant
As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.
We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.
At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:
4 + 2x^2 + 2y^2 = 10
2x^2 + 2y^2 = 6
x^2 + y^2 = 3
This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.
Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:
∫∫[x^2 + y^2 ≤ 3] dx dy
Switching to polar coordinates, we have:
∫[0,π/2]∫[0,√3] r dr dθ
Integrating with respect to r first gives:
∫[0,π/2] [(1/2)(√3)^2] dθ
= (3/2)π
So the volume of the solid is:
V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV
= (3/2)π(10-4)
= 9π
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There are 8 red, 4 green, and 6 blue point on a circle. All the points are distinct. Find the number of triangles with vertices of three different colors.
To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.
We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.
First, let's choose one red point. We have 8 options for this.
Next, let's choose one green point. We have 4 options for this.
Finally, let's choose one blue point. We have 6 options for this.
To determine the total number of triangles, we need to multiply the number of options for each color:
Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points
= 8 × 4 × 6
= 192
Therefore, there are 192 triangles with vertices of three different colors.
It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.
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describe a hypothesis test study that would help your work or conclusions in some way. describe what variable would be tested and what would be your guess of the value of that variable. then include how the result, if the null were rejected or not, might change your conclusions or actions in some way.
If the null hypothesis is rejected, and the proportion of customers willing to pay more is significantly different from 10%, this would support my hypothesis that customers are willing to pay more for eco-friendly packaging.
Let's say you work for a company that has been using a certain type of packaging material for their products. However, there have been concerns raised about the environmental impact of this material, and the company is considering switching to a more eco-friendly option. You believe that customers would be willing to pay more for products that are packaged with the eco-friendly material, but you need to test this hypothesis.
Variable: The variable that would be tested is whether customers are willing to pay more for products that are packaged with the eco-friendly material.
Guess of value: I would guess that customers would be willing to pay more for eco-friendly packaging, but I'm not sure how much more. Let's say my guess is that customers would be willing to pay 10% more for products packaged with the eco-friendly material.
Hypothesis test: To test this hypothesis, I would conduct a survey where I randomly select a sample of customers and ask them if they would be willing to pay more for products packaged with the eco-friendly material. I would then compare the proportion of customers who are willing to pay more to my guess of the value (10%).
Null hypothesis: The null hypothesis would be that the proportion of customers willing to pay more for eco-friendly packaging is not significantly different from 10%.
Alternative hypothesis: The alternative hypothesis would be that the proportion of customers willing to pay more for eco-friendly packaging is significantly different from 10%.
If the null hypothesis is not rejected, this would suggest that customers are not willing to pay more for eco-friendly packaging, and the company may need to reconsider their decision to switch to the more expensive material.
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The area of a rectangle is 46.56 mm2.
If the width is 9.7 mm, find the length.
Answer:
The length is 4.8 mm
Step-by-step explanation:
The area of a rectangle is calculated by multiplying the length times the width. So:
46.56 = l * w
46.56 = l * 9.7
To find the length, we must get "l" alone. To do this, we must divide both sides by 9.7.
46.56/9.7 = 4.8
4.8 = l
The length is 4.8
Please can I have an explanation also, I am terrible at these kinds of questions!
Q- A bag contain red, yellow and blue beads.
The ratio of red beads to yellow beads is 2:3
The ratio of yellow beads to blue beads is 5:4
Work out what fraction of the beads are red.
Answer:
The fraction of the beads that are red is
Step-by-step explanation:
Algebraic Expressions
A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:
r:y = 2:3
y:b = 5:4
We are required to find r:s, where s is the total of beads in the bag, or
s = r + y + b
Thus, we need to calculate:
\(\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]\)
Knowing that:
\(\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]\)
\(\displaystyle \frac{y}{b}=\frac{5}{4}\)
Multiplying the equations above:
\(\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}\)
Simplifying:
\(\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]\)
Dividing [1] by r:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}\)
Substituting from [2] and [3]:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}\)
Operating:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}\)
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}\)
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}\)
The fraction of the beads that are red is \(\mathbf{\frac{10}{37}}\)
use logarithm table to evaluate (3.68)2 x 6.705
Answer:
Step-by-step explanation:
49.3488
Identify the values of m and b of the linear function y = mx + b, graphed below.
\(b = 4\)
\(m = -\frac{1}{3}\)
Step-by-step explanation:An equation of a line written in its Slope-intercept Form, \(y = mx +b\), has \(b\) as its \(y\)-intercept and \(m\) as its slope.
\(b\) or the \(y\)-intercept is the \(y\)-coordinate when \(x = 0\). On the given line, we can see that when \(x = 0\), \(y = 4\). It's \(y\)-intercept is the point \((0,4)\) so \(b = 4\).
The slope, \(m\), of the line can be calculated by \(\frac{y_2 -y_1}{x_2 -x_1}\\\) where \(x_n\) and \(y_n\) is the \(xy\)-coordinates of any point \(n\) on the line. In the given line, we can see that \((5,3)\) is on the line so this can be point \(1\). \((0,4)\) is also on the line (yes, you can also use the \(y\)-intercept in calculating the slope of the line) so this can be our point \(2\).
\(m = \frac{4 -3}{0 -3} \\ m = \frac{1}{-3} \\ m = -\frac{1}{3}\)
The \(y\)-intercept is \(b = 4\) and the slope is \(m = -\frac{1}{3}\)
I need answers for this question
The inequality 3 ≤ x - 2 simplifies to x ≥ 5. This means x can take any value greater than or equal to 5. Therefore, option (E) with a number line from positive 5 to positive 10 is correct.
Given: 3 \(\leq\) x - 2
We need to work out which number line below shows the values that x can take. In order to solve the inequality, we will add 2 to both sides. 3+2 \(\leq\) x - 2+2 5 \(\leq\) x
Now the inequality is in form x \(\geq\) 5. This means that x can take any value greater than or equal to 5. So, the number line going from positive 5 to positive 10 shows the values that x can take.
Therefore, the correct option is (E) A number line going from positive 5 to positive 10. We added 2 to both sides of the given inequality, which gives us 5 \(\leq\) x. It shows that x can take any value greater than or equal to 5.
Hence, option E is correct.
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Addison is shooting a free throw. The initial height of the ball is represented by the ______
.A Maximum
B. Minimum
C. x-intercept
D. y-intercept
Answer:
B
Step-by-step explanation:
If you roll a regular 6 faced die 1200 times how many times to you expect to get 5
Answer:
240 times
Step-by-step explanation:
Since there is only one 5 on a 6 sided die, all you have to do is divide 5 into 1200
You are working with the following selection of a spreadsheet: a b 1 customer address 2 sally stewart 9912 school st. North wales, pa 19454 3 lorenzo price 8621 glendale dr. Burlington, ma 01803 4 stella moss 372 w. Addison street brandon, fl 33510 5 paul casey 9069 e. Brickyard road chattanooga, tn 37421 in order to extract the five-digit postal code from brandon, fl, what is the correct function?
The correct function that gives the right syntax for the given data analysis is; =RIGHT(B3,5)
How to Interpret Data Cleaning Analysis?Data cleaning is defined as the process of fixing or removing data that are incorrect, incorrectly formatted, duplicate, corrupted, or even incomplete data that exists within a dataset.
Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.
Now, from the question, we can see the given data of the spreadsheet with customer names and address and as such, we can easily say that the correct syntax is =RIGHT(B3,5). This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.
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In a hypothesis test for population proportion, you calculated the p-value is 0.01 for the test statistic, which is a correct statement of the p-value?
Group of answer choices
a)The p-value indicates that it is very rare to observe a test statistics equally or more extreme when the null hypothesis is true.
b)The p-value indicates that it is very likely to observe a test statistics equally or more extreme when the null hypothesis is true.
c)The p-value is calculated assuming the alternative is true.
The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.
In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.
The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.
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1. Ginger has 31 drinking straws. If each
straw is 7.875 inches long, how long are
the straws altogether?
If f(x) = x + 1 and g(x) = 2x - 7, which expression is equivalent to [fo g|(3)?
ESS:
O (3 + 1)(2(3) -7)
O 2(3)2 - 6
O 2(3 + 1) -7
O (2(3) - 7) + 1
Answer:
O (3 + 1)(2(3) -7)
Step-by-step explanation:
hope it helps you
Answer:
its A
Step-by-step explanation:
on EDG 2021-2022
Find the area of the isosceles triangle
Slope: 13cm
Base: 10cm
Answer:
65
Step-by-step explanation:
A=hbb
2=13·10
2=65
A jet travels 1731 miles against the wind in 3 hours and 2151 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind
Velocity of jet in still air is 647 miles per hour and velocity of wind is 70 miles per hour.
Given,
Jet's velocity against wind 1731 / 3 = 577 mile per hour
flying with wind it 2151 / 3 = 717 miles per hour.
Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.
As such its velocity against wind is x−y and with wind is x+y and therefore
x−y=577;
x+y=717
Adding the two
2x = 1294
x = 647
y= 717 − 647
y = 70
Hence velocity of jet in still air is 647 miles per hour and velocity of wind is 70 miles per hour.
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Pls help fast 15 points
Answer:
D) 4/3
Step-by-step explanation:
The ratio of rise over run is the same as finding the slope of a graph.
Points: (-3, -4) ( 0, 0 )
We see the y increase by 4 and the x increase by 3, so the slope is
m = 4/3
So, the answer is D) 4/3
Can someone plz help me with this one problem plz I’m being timed!!!
Answer:
When x is 0, y is 0.
When x is 1, y is 4.
Step-by-step explanation:
Simply multiply 4 times the x value given in the table and you will get y.
Write the expression in terms of a single trigonometric function. \[ \sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} \]
Let's start solving the expression using the product to sum formulae.
Here's the given expression,
\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]
Using the product-to-sum formula,
\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]
Applying the above formula in the first term,
\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]
Using the product-to-sum formula,
\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]
Applying the above formula in the second term,
\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]
Substituting these expressions back into the original expression,
we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]
Therefore, the given expression can be written in terms of a single trigonometric function as:
\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}
Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.
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a state lottery involves the random selection of six different numbers between 1 and 20. how many different possible six-number combinations could be generated?
Answer:
64,000,000
Step-by-step explanation:
To find out how many combinations there are, you first must do an equation of multiplying these numbers.
20×20×20×20×20×20
Reason being: There are six different number combinations that all are between 1 and 20, so you must multiply all of these numbers.
If you multiply them all together, you would get 64,000,000 different combinations.
Hope it helped!
Addison is making caramel apples. She has 2 1/2bags of apples in every bag there is 8aplles and every apple eats 5 ounces write a expression to find the total amount of ounces of apples that’s Addison has. Then calculate the total of ounces
Addison has a total of 100 ounces of apples.
Let's call the number of bags of apples Addison has" x". also, we know that x = 2.5 bags.
Since there are 8 apples in each bag, the number of apples Addison has can be set up by multiplying the number of bags by 8. So, the expression for the number of apples is 8x.
Eventually, since each apple weighs 5 ounces, the total quantum of ounces of apples can be set up by multiplying the number of apples by 5. So, the expression for the total quantum of ounces is 5 * 8x.
Now we can substitute the value of x into the expression
5 * 8 *2.5 = 100 ounces
Therefore, Addison has a total of 100 ounces of apples.
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This is my last question, Please only answer if you know, Question down below :)
Answer:
i think its d
Step-by-step explanation:
the number of students at a local university increased from 1,200 students to 5,200 students in 10 years. based on a geometric mean, the university grew at an average percentage rate of
The university grew at an average percentage rate of approximately 15.36% per year.
1. In order to find the average percentage growth rate, we will use the formula for geometric mean growth rate:
Growth Rate = ((Ending Value / Starting Value)^(1 / Number of Years)) - 1
2. In this case, the starting value is 1,200 students, the ending value is 5,200 students, and the number of years is 10.
Growth Rate = ((5,200 / 1,200)^(1 / 10)) - 1
3. Calculate the values:
Growth Rate = (4.3333^(1 / 10)) - 1
Growth Rate = 1.1536 - 1
Growth Rate = 0.1536
4. Convert the decimal to a percentage:
Growth Rate = 0.1536 * 100 = 15.36%
Hence, Based on the geometric mean, the local university grew at an average percentage rate of approximately 15.36% per year over the 10-year period.
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If m∠9 = 130°, what is m∠4?
Answer:
m<9=130 it also equal to 180 so 130-180 makes m<4= 50