The relative frequency for selecting a teen out of all the people who like chocolate is calculated by dividing the number of teens who like chocolate (N) by the total number of people who like chocolate (T).
To find the relative frequency for selecting a teen out of all the people who like chocolate, you need to follow these steps:
Step 1: Determine the total number of people who like chocolate (let's call this T).
Step 2: Determine the number of teens who like chocolate (let's call this N).
Step 3: Calculate the relative frequency by dividing the number of teens who like chocolate (N) by the total number of people who like chocolate (T).
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A business has a beginning capital of $3000.the owner makes a contribution of $1000. the net income of $2500 the end capital is $4500. how much was the owner withdraw?A$6500B$2000C$3000D$11000
Let be x the amount the owner withdrew. Then, we can write and solve the following equation:
\(\begin{gathered} \text{ Beginning capital }+\text{ Contribution }+\text{ Net income }-\text{ Owner withdraws }=\text{ End Capital} \\ \text{\$}3,000+\text{\$}1,000+\text{\$}2,500-x=\text{\$}4,500 \\ \text{\$}6,500-x=\text{\$}4,500 \\ \text{ Subtract 6500 from both sides} \\ \text{\$}6,500-x-\text{\$}6,500=\text{\$}4,500-\text{\$}6,500 \\ -x=-\text{\$}2,000 \\ \text{ Multiply by -1 from both sids} \\ -x\cdot-1=-\text{\$}2,000\cdot-1 \\ x=\text{\$}2,000 \end{gathered}\)Answer
The owner withdraws $2,000.
Please help I will mark branliest
The measure of an interior angle of a regular polygon is 172.5 degrees.
How many sides does this polygon have?
taking π=22/7, find the circumference of a circle 70cm
The circumference of circle of radius 70 cm is 440 \(cm^{2}\).
According to the question,
We have the following information:
Radius of the circle = 70 cm
(Diameter is twice that of its radius..)
We know that the following formula is used to find the circumference of circle:
Circumference of circle = 2πr
(More to know: the formula to find the area of circle is π\(r^{2}\).)
(More to know: there are two values of π. One is 3.14 and one is 22/7.)
Circumference of circle = 2*(22/7)*70
Circumference of circle = 440 \(cm^{2}\)
Hence, the circumference of the circle of radius 70 cm is 440 \(cm^{2}\).
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Consider the points below. P(θ),−4,0),Q(5,1,−2),R(6,4,1) (a) Find a nonzero vector orthogonal to the plane through the points P,Q, and R. (b) Find the area of the triangle PQR.
(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.
(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:
PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)
PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)
Taking the cross product of PQ and PR, we have:
n = PQ x PR = (9, 1, -2) x (10, 4, 1)
Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.
(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:
|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)
Evaluating the magnitude gives |n| = \(\sqrt\)(811).
The area of triangle PQR is then:
Area = |n| / 2 = \(\sqrt\)(811) / 2.
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Sally is serving lemonade to four friends. She is serving 4/7 cup per person.
Estimate how much lemonade she needs. Then calculate exactly how much she needs. What is the difference between the estimate and actual amount?
pls help, :)
Answer:
oi ngl levi is hawt I like your pfp ^^
Step-by-step explanation:
my name is Riley
The perimeter of a square is 40 inches. The length of each side of the square is 4x-2 inches. What is the value of x? Show or explain how you found your answer.
the measure of the supplement of an angle is 39° more then the angle. find the measure of the angle and it’s supplement.
Step-by-step explanation:
s = a+39
s+a = 180
a+39+a = 180
2a = 180-39
2a = 141
the angle = 70.5°
the supplement = 109.5°
which number is equivalent to 1/9?
There are 377 toys that Janet collected at the carnival. She wants to put them in 12 bags. After she splits them into bags, how many toys does she have left to give to her little brother?
Answer:
D. 31 toys.
Step-by-step explanation:
377 ÷ 12 =
31.41666666666667
377 toys
12 bags
to find:how many toys she'll have left to give her little brother.
solution:\( \frac{377}{12} \)
\( = 31.416666666\)
\( nearest \: whole \: number = 31\)
therefore, she'll have 31 toys left to give her little brother.
answer= option D
HELP PLEASE I HAVE ONLY TODAY TO SUBMIT
Answer:
Step-by-step explanation:
A circle has a center of (5,2) and a radius of 10. Which of the following points will the circle pass through?
equation of the circle with given data is,
\(\begin{gathered} (x-5)^2+(y-2)^2=10^2_{} \\ (x-5)^2+(y-2)^2=100 \end{gathered}\)\(\begin{gathered} i).(x-5)^2+(y-2)^2=100 \\ (15-5)^2+(12-2)^2 \\ 10^2+10^2 \\ 100+100 \\ 200 \\ it\text{ does not satisfy} \end{gathered}\)\(\begin{gathered} ii).(x-5)^2+(y-2)^2=100 \\ (8-5)^2+(7-2)^2 \\ 3^2+5^2 \\ 9+25 \\ 34 \\ it\text{ does not satisfy} \end{gathered}\)\(\begin{gathered} iii).(x-5)^2+(y-2)^2=100 \\ (11-5)^2+(-6-2)^2 \\ 6^2+(-8)^2 \\ 36+64 \\ 100 \\ it\text{ satisfies the equation.} \end{gathered}\)Hence, option 3 is correct.
In a two-tailed hypothesis test, the area in each tail corresponding to the critical values is equal to.
Answer:
The equality sign should be present in the null hypothesis during hypothesis testing. In a two-tailed hypothesis test, the rejection region's area in each tail is equal to \(\alpha\). If you choose an alpha of 0.01 then beta will equal 0.99
a company had 80 employees whose salaries are summarized in the frequency distribution below. find the standard deviation.
The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.
The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).
By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.
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If 2 bushels of corn weigh 112 lb, how much do 8.5 bushels of corn weigh?
Answer:
476 lb
Step-by-step explanation:
112/ 2 = 56
8.5 times 56
a=h(b+c) solve for c
Answer:
\(c=\frac{a}{h}-b\)Explanation:
Given the equation:
\(a=h(b+c)\)we want to make c the subject of formula;
let us divide both sides by h;
\(\begin{gathered} \frac{a}{h}=\frac{h(b+c)}{h} \\ \frac{a}{h}=b+c \end{gathered}\)Then let us subtract b from both sides;
\(\begin{gathered} \frac{a}{h}-b=b-b+c \\ \frac{a}{h}-b=c \\ c=\frac{a}{h}-b \end{gathered}\)Therefore, making c the subject of formula we have;
\(c=\frac{a}{h}-b\)ccording to the Texas Water Development Board, the average per capita per day water usage in this same area is 89 gallons. What are some reasons that the per capita per day water consumption be higher than the wastewater generated
There are several possible reasons why per capita per day water consumption could be higher than the wastewater generated:
Non-domestic water use: Per capita water usage includes not only water used in households but also water used for commercial, industrial, and agricultural purposes. Wastewater, on the other hand, only includes water that has been used in households and is discharged into the sewer system. Therefore, if there is significant non-domestic water use in the area, per capita water usage could be higher than wastewater generated.
Inefficient water use: Even though per capita water usage is high, some of the water used may not end up in the wastewater stream. For example, water may be used for landscaping or irrigation, and much of it could evaporate or soak into the ground before it reaches the sewer system. This would result in higher water usage than wastewater generated.
Water loss: The water distribution system may experience leaks or other losses, resulting in some of the water being lost before it reaches households or other water users. This would result in higher water usage than wastewater generated.
Infiltration and inflow: In some cases, rainwater or groundwater can infiltrate into the sewer system or inflow into wastewater treatment plants, increasing the volume of wastewater generated. This could result in lower wastewater generated than per capita water usage.
Time lag: There may be a time lag between water usage and wastewater generated, especially in areas with septic systems. It is possible that some of the water used today may not be discharged into the sewer system for several days or even weeks, resulting in higher per capita water usage than wastewater generated on any given day.
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What transformation is this from the Green Pre-Image
ABCDEF to the grey Image A'B'C'D'E'F'?
10
А в
B
A
Ε' Ε'
L
FE
✓
Share with Class
D
C
С
D
- 10
-5
10
Question one: Carlie biked 26 miles in four hours. What was Carlie’s average speed in miles per hour?
Question two: If Carlie continues to bike at the same rate, about how many hours will it take her to bike 78 miles?
Answer:
OOOOOOOOHHH SHUTE BROTHER SORRY WISHED I COULD HELP but im blonde so sowwy
Step-by-step explanation:
f(1)=4
f(n)=f(n−1)⋅(−0.5)
Find an explicit formula for f(n)
Answer
f(n)=4•(0.5)^n-1
The image shows a circle with center (4,6) and radius 10 units.
What is the solution to 4
O a>-21-
O a<-21-
O a> 21/1/
O a<21/1/2
Mark this and return
a>-162
C
Save and Exit
Next
Submit
TIME
01
The solution to 4 is a>-162. This is because the inequality can be rewritten as -162 > -21, meaning that any number greater than -162 will satisfy the inequality.
What is inequality?Inequality is the unequal distribution of opportunities, resources, or rights among people or groups. It can be found in wealth, income, health, education, access to services and resources, and legal rights. Inequality is a social phenomenon that affects people differently depending on race, gender, age, or background. Inequality can be a result of unequal access to resources, differences in power dynamics, or the unequal distribution of resources among people or groups. It can lead to disparities in health, education, and economic outcomes for those who experience it. Inequality can be addressed through policies that promote equity and inclusion, such as targeted education initiatives and access to employment opportunities.
The reason this is happening is because when solving inequalities, we must isolate the variable on one side of the inequality sign. In this case, we can do this by adding 162 to both sides of the inequality. This will move the -21 to the other side and the result is a>-162.
In order to ensure that the solution is correct, it is important to check the answer by substituting a value larger than -162 into the inequality. If the value satisfies the inequality, then the solution is correct.
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The sοlutiοn tο 4 is a>-162. This is because the inequality can be rewritten as -162 > -21, meaning that any number greater than -162 will satisfy the inequality.
What is inequality?Inequality is the unequal distributiοn οf οppοrtunities, resοurces, οr rights amοng peοple οr grοups. It can be fοund in wealth, incοme, health, educatiοn, access tο services and resοurces, and legal rights. Inequality is a sοcial phenοmenοn that affects peοple differently depending οn race, gender, age, οr backgrοund. Inequality can be a result οf unequal access tο resοurces, differences in pοwer dynamics, οr the unequal distributiοn οf resοurces amοng peοple οr grοups. It can lead tο disparities in health, educatiοn, and ecοnοmic οutcοmes fοr thοse whο experience it. Inequality can be addressed thrοugh pοlicies that prοmοte equity and inclusiοn, such as targeted educatiοn initiatives and access tο emplοyment οppοrtunities.
The reasοn this is happening is because when sοlving inequalities, we must isοlate the variable οn οne side οf the inequality sign. In this case, we can dο this by adding 162 tο bοth sides οf the inequality. This will mοve the -21 tο the οther side and the result is a>-162.
In οrder tο ensure that the sοlutiοn is cοrrect, it is impοrtant tο check the answer by substituting a value larger than -162 intο the inequality. If the value satisfies the inequality, then the sοlutiοn is cοrrect.
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Complete question:
What is the solution to 3/4a>-16?
a>-21 1/3
a<-21 1/3
a>21 1/3
a<21 1/3
Write an Equation using the following arithmetic sequence: 5, _____, ______, 32
Answer:
The sequence is:
5, 14, 23, 32
Step-by-step explanation:
We know that an Arithmetic sequence with a₁ and the commo difference 'd' has the nth term such as:
aₙ = a₁ + (n-1)d
Given the arithmetic sequence
5, _____, ______, 32
here:
a₁ = 5
n = 4
aₙ
so substituting a₁ = 5, n = 4 and aₙ = 32 in the nth term
aₙ = a₁ + (n-1)d
32 = 5 + (4-1)d
32 = 5 + 3d
3d = 32-5
3d = 27
divide both sides by 3
3d/3 = 27/3
d = 9
Therefore, the common difference: d = 9
Determining the 2nd term:
Using the formula
aₙ = a₁ + (n-1)d
substitute n = 2, a₁ = 5, d = 9
a₂ = 5 + (2-1)9
a₂ = 5 + 1(9)
a₂ = 5 + 9
a₂ = 14
Determining the 3rd term:
Using the formula
aₙ = a₁ + (n-1)d
substitute n = 3, a₁ = 5, d = 9
a₃ = 5 + (3-1)9
a₃ = 5 + 2(9)
a₃ = 5 + 18
a₃ = 23
Thus, the sequence becomes:
5, 14, 23, 32
would this relationship best be described as proportional or non proportional? justify your answer
the relationship between the diameter of the pizza and its cost per square inch is non-proportional.
The relationship between the diameter of the pizza and its cost per square inch is non-proportional.
If the relationship were proportional, then the cost per square inch of the pizza would remain constant as the diameter changes. However, in this case, we see that as the diameter of the pizza increases, the cost per square inch decreases. This is because the area of a circle increases more rapidly than its diameter, so the cost must be spread out over a larger area, resulting in a lower cost per square inch.
Therefore, the relationship between the diameter of the pizza and its cost per square inch is non-proportional.
the complete question is :
would relationship between the dilation factor k and the resulting volume of a solid best be described as proportional or non proportional? justify your answer
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A rectangle has vertices located at the points: A(-1 1/4,3 1/2), B(2 2/3,3 1/2), C(2 2/3,-1 3/4), D(-1 1/4,-1 3/4). Find the length of BC
The length of BC is 5.25 units. when the rectangle has vertices located at the points: B is ( 2 2/3,3 1/2) and C is (2 2/3,-1 3/4).
We need to find the length of BC. The length of a line segment BC can be calculated using the distance formula. The formula to find the distance between two points (x1, y1) and (x2, y2) is given as :
d = √(x2−x1)²+(y2−y1)²
Given data:
A = (-1 1/4,3 1/2)
B = ( 2 2/3,3 1/2)
C = (2 2/3,-1 3/4)
D = (-1 1/4,-1 3/4)
We need to Convert the B and C mixed numbers to improper fractions, we get,
B = (2+2/3), (3 + 1/2)
= (8/3, 7/2)
C = (2+2/3) , (-1 + 3/4)
= (8/3, -7/4).
Substituting the B and C values into the distance formula, we get:
= √(8/3 − 8/3)² + ( −7/4 − 7/2 )²
= √0 + ( − 21 / 4 )²
= √441/16
\(= 21/4\)
\(= 5.25\)
Therefore, the length of BC is 5.25 units.
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Please help me.. I do not know this. I will give 100 points if you answer.
Answer:
1) I believe 6 (im wrong I know it)
Step-by-step explanation:
you do whatever like 13902-1 , im so smart
Algebra and Geometry Question: Seven of the angles of a decagon have measures whose sum is complementary and exactly two are supplementary. Find the measures of these three angles.
From the present question, let's say that the missing angles are a, b, and c. We know that the sum of the other seven is equal to 1220°. By definition, the sum of the inner angles of any polygon is given by:
\(S=(n-2)\times180\degree\)In the present case, n = 10. Which means:
\(\begin{gathered} S=(10-2)\times180\degree \\ S=8\times180\degree=1440\degree \\ S=1440\degree \end{gathered}\)From the information given, we are able to say that:
\(\begin{gathered} 1440=1220+a+b+c \\ a+b+c=1440-1220=220 \\ a+b+c=220 \end{gathered}\)Here we found the first equation. The information about supplementary and complementary angles can be written as:
\(\begin{gathered} a+b=90\degree \\ b+c=180\degree \end{gathered}\)Now we have the following system of equations:
\(\begin{gathered} a+b+c=220\degree \\ a+b=90\degree \\ b+c=180\degree \end{gathered}\)If we substitute the second equation in the first one, we are able to find the value for c. Performing this calculation, we find the following:
\(\begin{gathered} (a+b)+c=220\to90+c=220 \\ c=220-90=130\degree \\ c=130\degree \end{gathered}\)With this value, we are able to substitute the value of c in the third equation, and find the value of b, as follows:
\(\begin{gathered} b+c=180\degree\to b+130\degree=180\degree \\ b=180\degree-130\degree=50\degree \\ b=50\degree \end{gathered}\)Now, we can substitute the value of b in the second equation of the system, to find the value of a, as follows:
\(\begin{gathered} a+b=90\degree\to a+50\degree=90\degree \\ a=90\degree-50\degree=40\degree \\ a=40\degree \end{gathered}\)Now, from all the given information, we were able to find that, the three missing angles are:
\(\begin{gathered} a=40\degree \\ b=50\degree \\ c=130\degree \end{gathered}\)Because the question did not name the angles, their name and order are not important, just the values.
Try answer the following:
-299= -3×n+1
n=
Answer:
\(n = 100\)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Mike and his friends bought cheese waters for $4 per packet and chocolate wafers for $3 per packet at a camival. They spent a total of $36 to buy a total of 10 packets of waters of the two varieties
Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the camival Define the variables used in the
equations (4 points)
Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer
The system of equations is:
x + y = 10
4x + 3y = 36
The solution is x = 6 and y = 4.
How to write the system of equations?A)
Let's define the variables:
x = number of cheese wafers.y = number of chocolate wafers.We can write the system of equations:
x + y = 10
4x + 3y = 36
Isolate x on the first equation to get:
x = 10 - y
Replace that in the other one:
4*(10 - y) + 3y = 36
40 - 4y + 3y = 36
40 - y = 36
40 - 36 = y
4 = y
And thus, the value of x is:
x = 10 - y = 10 - 4 = 6
They bought 6 cheese wafers and 4 chocolate ones.
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Expand and simplify 5(5x - 2y - 6)
Answer:
25x-10y-30
Step-by-step explanation:
5(5x - 2y - 6)=(5*5x)(-5*2y)(-5*6)=25x-10y-30
Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest thousand.
Answer:
5000
Step-by-step explanation:
if its 5 or more round up. If it's 4 or less round down