Answer: 1583.90
In June it’s 1583.90$
the average daily balance of Elliott's account for the month of June is $902.
calculate the average daily balance for Elliott's account in June. To calculate the average daily balance, we need to determine the balance at the end of each day in June. Starting with a balance of $1223 on June 1st, we can calculate the balance at the end of each day by adding or subtracting the amount of each transaction. The table below shows the daily balances: Day of June - Transaction type - Transaction amount -Balance
1 - Starting balance - 1223 - 1223
5 - Deposit - 615 - 1838
8 - Withdrawal - -632 - 1206
9 - Withdrawal - -120- 1086
10 - 30 - No transactions - 0 1086
The sum of the daily balances is: 01086 × 30 = 32580
The average daily balance is the sum of the daily balances divided by the number of days in June:
average daily balance = 32580 / 30 = 902
Therefore, the average daily balance of Elliott's account for the month of June is $902.
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random sample of 92 sophomores are asked whether they plan to attend Homecoming. Of these, 51 sophomores said they will attend. What is the margin of error at 90% confidence and its interpretation?
0.102; 90% of the time we will capture the true proportion of sophomores who will attend Homecoming within 0.102 of the population proportion
0.085; 90% of the time we will capture the true proportion of sophomores who will attend Homecoming within 0.085 of the population proportion
0.102; we are 90% confident that the true proportion of sophomores who will attend Homecoming is within 0.102 of the sample proportion
0.085; we are 90% confident that the true proportion of sophomores who will attend Homecoming is within 0.085 of the sample proportion
The margin of error at 90% confidence and its interpretation is;
0.085; we are 90% confident that the true proportion of sophomores who will attend Homecoming is within 0.085 of the sample proportion
How to find the margin of error?The margin of error is defined as a term used in statistics to find the confidence interval. It is denoted by E.
The formula for margin of error is;
E = z(√(p(1 - p)/n)
The parameters are given as;
Sample size; n = 92
sample of success; x = 51
Sample proportion; p = 51/92 = 0.554
z at 90% CL = 1.645
Thus;
E = 1.645(√(0.554(1 - 0.554)/92)
E = 0.085
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the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
False. The probability of the union of two events occurring can be greater than the probability of the intersection of two events occurring.
The probability of the union of two events A and B, written as P(A union B), is the sum of the individual probabilities of the two events minus the probability of their intersection.
P(A union B) = P(A) + P(B) - P(A intersection B)
If the two events are not mutually exclusive, meaning that they have a non-empty intersection, then P(A union B) will be greater than P(A intersection B).
In other words, the union of two events gives you the combined probability of both events happening, while the intersection gives you the probability of both events happening simultaneously, which is always smaller or equal to the probability of either event happening.
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The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring? TRUE/ FALSE.
how many sides does a regular polygon have if each interior angle measures 140
A regular polygon with interior angles that measure 140 degrees has 9 sides. All interior angles are congruent, meaning they have the same degree measure.
To find the number of sides in a regular polygon with a given interior angle measure, we can use the formula:
n = 360 / (180 - x)
where n is the number of sides and x is the measure of each interior angle in degrees.
This formula is derived from the fact that the sum of the interior angles in a polygon with n sides is given by the formula (n-2) * 180. In a regular polygon, each interior angle measures (Sum of interior angles / n). If we substitute the formula for the sum of interior angles into the formula for the measure of each interior angle, we get:
x = (n-2) * 180 / n
Solving for n:
n = 360 / (180 - x)
So, when we plug in the given interior angle measure of 140 degrees, we get:
n = 360 / (180 - 140)
n = 360 / 40
n = 9
Therefore, a regular polygon with interior angles that measure 140 degrees has 9 sides.
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How many sides does a regular polygon have if each interior angle measures 140?
What is the area of this compound figure?
Answer:
Step-by-step explanation:
HELLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Edit: it's actually translation, sorry about that.
Step-by-step explanation:
Answer: I think it might be translation
Step-by-step explanation:
Translation: A slide of a slide of a shape on a coordinate plane. We can move a shape upward, downward, leftward, or rightward.
Which graphs represent functions?
Graph A
Graph B
Graph C
Answer:
Graphs B and D
I can't see all the options since the image is cropped but it does look like the first option
Step-by-step explanation:
A function, y = f(x0 can have one and only one value for a specific value of x
Graphically we can determine whether a graph represents a function or not by drawing a vertical line through a value of x and finding out if it intersects the graph at more than one point
Graph A: Not a function
If we draw a vertical line at say x = 0, it intersects the graph at two points y = 2 and y = -2. Therefore it is not a function
We need to see only one violation of this rule to conclude it is not a function
Graph B: Function
This is a function. There are 5 points plotted for 5 values of x (x = -5, -4, -1, 1 and 2) and at none of these values of x does a vertical line cross two points
Graph C Not a function
At x = 1, the vertical line will cross at 2 points (1, 5) and (1, -3). Essentially there are 2 y values, 5 and -3 for a single x value of 1
So not a function
Graph D Function
At no value of x does a vertical line pass through more than one point. Hence it is a function
the diameter of a colorado blue spruce tree that is years old is inches. what is the average diameter of a colorado blue spruce in its first ten years (that is, from to )? give your answer to two decimal places. just give the number, don't type the units.
A Colorado blue spruce's first ten years have an average diameter of 0.62 inches.
Measure the diameter of the tree in its first ten years and divide it by 10 to determine the average diameter of a Colorado blue spruce in its first ten years. The outcome is the tree's average diameter during its first ten years. Measure the diameter of the tree in its first ten years and divide it by 10 to determine the average diameter of a Colorado blue spruce in its first ten years. The outcome is the tree's average diameter during its first ten years. For instance, if a Colorado blue spruce is five years old, you would calculate its diameter and multiply it by 10. You will then know the tree's typical diameter for the first ten years. Any age of Colorado blue spruce tree can use the same calculation. Depending on the age of the tree, a Colorado blue spruce's first ten years' average diameter will vary. The average diameter will be greater if the tree is older than ten years. The average diameter will be less, however, if the tree is less than 10 years old. In general, a Colorado blue spruce's first ten years have an average diameter of 0.62 inches.
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suppose that in winter the daytime temperature in a certain office building is maintained at 70 f. the heating is shut off at 10 pm. and turned on again at 6 am. on a certain day the temperature inside the building at 2 am was found to be 65 f. the outside temperature was 50 f at 10 pm and had dropped to 40 f by 6 am. what was the temperature inside the building when the heat was turned on at 6 am? hint: you may assume, for simplicity, that the outside temperature, which is varying, is constant equal to the average value of 45 degrees between 10 pm and 6 am.
The temperature inside the building when the heat was turned on at 6 am was approximately 57.4 F
To solve this problem, we can use the formula for heat transfer:
Q = mcΔT
where Q is the amount of heat transferred, m is the mass of the air, c is the specific heat of air, and ΔT is the change in temperature.
First, we can calculate the amount of heat lost from the building between 10 pm and 2 am. Assuming the building is a closed system, the amount of heat lost must be equal to the amount of heat gained by the outside environment. We can assume that the mass of air in the building remains constant, and use the specific heat of air at constant volume, which is approximately 0.718 J/g·K.
Q = mcΔT = (m)(0.718)(65-70) = -3.59m
Next, we can calculate the amount of heat gained by the building between 2 am and 6 am. Again, assuming the building is a closed system, the amount of heat gained must be equal to the amount of heat lost by the outside environment. We can assume that the mass of air in the building remains constant, and use the same specific heat of air at constant volume.
Q = mcΔT = (m)(0.718)(T-65)
where T is the temperature inside the building at 6 am. We can set this equal to the heat lost by the outside environment:
Q = -3.59m
Using the average temperature of 45 f for the outside environment, we can calculate the change in temperature between 10 pm and 6 am:
ΔT = (45-70) = -25
So the amount of heat lost by the outside environment is:
Q = mcΔT = (m)(0.718)(-25) = -17.95m
Setting this equal to the heat gained by the building:
(m)(0.718)(T-65) = -17.95m
Simplifying and solving for T, we get:
T = 57.4 F
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Two bags each contain only red counters and yellow counters.
In Bag A, the ratio of red counters to yellow counters is 1 : 4.
In Bag B, of the counters are red.
(i)
Sharon says
The proportion of the counters that are red is the same in both bags.
Explain why Sharon is not correct.
Answer:
In Bag A, the ratio of red counters to yellow counters is 1 : 4. (ii) The number of counters in the two bags is the same.
Step-by-step explanation:
PLEASE HELP! O is the centre of a sphere and has coordinates (2, -3,5). If AB is a diameter of the sphere
and A has coordinates (5, 1, 1), find the coordinates of B. Give your answer as an ordered
triple (x, y, z).
Answer:
(-2, -6, -6)
Step-by-step explanation:
The center of the sphere, O, and point A, are located on the same diameter of the sphere, AB. Thus, the line segment joining these two points is the radius of the sphere. Therefore, the length of the line segment, OA = OB = r, where r is the radius of the sphere.
We can find the length of the line segment, OA, using the distance formula:
√((5 - 2)^2 + (1 + 3)^2 + (1 - 5)^2) = √(3^2 + 4^2 + (-4)^2) = √49 = 7
Since OA = OB = 7, the coordinates of B can be found by subtracting the radius, 7, from the x, y, and z-coordinates of point A:
B = (5 - 7, 1 - 7, 1 - 7) = (-2, -6, -6)Therefore, the coordinates of B are (-2, -6, -6).
a bagel store sells 6 different types of bagels. in how many ways can you buy 20 bagels with at least one bagel of each kind?
The number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.
To calculate the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels, we can use the concept of stars and bars.
First, we need to ensure that we have at least one of each type of bagel. So, we take one bagel of each type, which leaves us with 14 bagels to buy.
Now, we can use stars and bars to distribute the remaining 14 bagels among the 6 types of bagels. We represent the 14 bagels as stars and the 5 possible locations between the types of bagels as bars.
Using this method, we need to distribute 14 stars among 5 bars, which can be done in
(14+5-1) choose (5-1) = 18 choose 4 = 3060 ways.
Therefore, the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.
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What's the percentage if the whole number is 7990 and the part is 19. 16
This means that for part of 19.16 is 0.24% of the total number 7990.Percentage is a way of expressing a number as a fraction of 100. It is commonly used to describe a portion or share of a total quantity.
To find the percentage of a number, we need to multiply the number by the percentage as a decimal and then express the result as a percentage.
In the case of 7990 and 19.16, 19.16 is the part of the whole number 7990. To find the percentage, we need to divide the part by the whole and then multiply by 100.
So, the percentage of 19.16 of 7990 is:
19.16 ÷ 7990 × 100 = 0.24%
This means that 19.16 is 0.24% of the total number 7990.
Percentages are often used in various applications, including calculating interest on loans, determining grades in school, and comparing data between different sets of information. In addition, they are used in various business applications, such as computing taxes, discounts, and determining profits and losses. In conclusion, understanding the concept of percentage is important in various areas of our daily lives and in various professions, as it helps us to make informed decisions and communicate information effectively.
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Degree of expression??? Please help!
Classify the following triangle. Check all that apply.
• A. Equilateral
• B. Obtuse
• C. Isosceles
• D. Scalene
• E. Acute
• F. Right
Answer:
I don't have a way to explain, but it is an Equilateral and Isosceles :)
Hope it helps!
A vector with magnitude 7 points in a direction 10 degrees counterclockwise from the positive x axis.
Write the vector in component form.
Vector
Give each value accurate to at least 1 decimal place
The vector in component form is given as follows:
v = (6.9, 1.2).
How to write the vector in component form?Considering a vector with a magnitude of M and an angle of x, the component form notation for the vector is given as follows:
v = (Mcos(x), Msin(x)).
The parameters for this problem are given as follows:
M = 7.x = 10º.Hence the components are given as follows:
7 x cosine of 10 degrees = 6.9.7 x sine of 10 degrees = 1.2.Hence the vector is of:
v = (6.9, 1.2).
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Solve this equation for m
Please help ASAP I need the correct answers please
The equation solved for m is written as:
(y - b)/x = m
How to solve the equation for m?
Here we have a general linear equation:
y = m*x + b
And we want to solve the equation for m, this means that we need to isolate the variable m in that equation.
We will get:
y = m*x + b
y - b = m*x
(y - b)/x = m
That is the equation solved for m.
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HII NEED HELP PLEASE
Answer:
x=4
Step-by-step explanation:
since triangles LMJ and KLJ are = by hyp. and one side
<=> 4x+6=3x+10
<=> 4x-3x=10-6
<=> x=4
On a recent math test, Alfred was asked to write an equation for the following problem:
Jenny bought 2 bags of carrots for her 6 rabbits. In the 2 bags of carrots, there are 52 carrots. How many carrots will each rabbit get if Jenny divides them equally for her 6 rabbits? Alfred wrote the expression: 52 ÷ 2. Is Alfred correct? Explain why or why not.
not much points but pls answer 14 points
b. how many such strings are if 2 of the ones are to be next to each other and the third is not next to the other two? (for example, 0011000100.
The total number of strings that satisfy the given conditions is 24.
Let us count the number of strings where the two ones that are next to each other are in the first two positions, and the third one is in the fifth position. There are two choices for the value of the fourth digit (0 or 1), and two choices for the value of the last digit (0 or 1). Therefore, there are 2 \cdot 2 = 4 strings with this property: 110010, 110100, 111010, and 111100.
We can obtain the same number of strings by considering the case where the two ones that are next to each other are in the last two positions, and the third one is in the fifth position.
Now, let us count the number of strings where the two ones that are next to each other are in the first two positions, and the third one is in the sixth position. There are two choices for the value of the third digit (0 or 1), and two choices for the value of each of the other digits (digits 4 and 5 must be different from each other and from digit 3). Therefore, there are 2 \cdot 2 \cdot 2 = 8 strings with this property: 1100010, 1101010, 1110010, 1111010, 1000110, 1001110, 1010110, and 1011110.
Again, we can obtain the same number of strings by considering the case where the two ones that are next to each other are in the last two positions, and the third one is in the sixth position.
Thus, the total number of strings that satisfy the given conditions is 4+4+8+8=24.
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Label each figure correctly. Area is understood to be square feet and perimeter is understood to be feet. (PLEASE HELP)
Answer:
Step-by-step explanation:
how do you solve direct proportional with decimal numbers
To solve a direct proportion problem with decimal numbers, you can follow the same steps as with whole numbers.
What is direct proportion ?A direct proportion is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable.
To solve a direct proportion problem with decimal numbers:
Write down the formula for direct proportion: y = kx.Identify the two variables in the problem and assign them to y and x.Calculate the constant of proportionality (k) by dividing y by x.Use the value of k to find the value of y for a given value of x, or use the value of y to find the value of x for a given value of y.Find out more on direct proportion at https://brainly.com/question/1266676
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Jayden and Ramon are members of a bowling league. Jayden plans to order
custom team shirts and he has narrowed his options down to two companies.
Designs n More will charge a $10 design fee and $7.50.per shirt: Custom
Creations charges $9 per shirt and does not charge a design fee.
Equating the mathematical expressions, for the total costs of both companies to be the same, Jayden and Ramon must buy about 7 shirts.
What is a mathematical expression?A mathematical expression consists of the combination of variables, values, constants, and numbers using mathematical operands.
A mathematical expression is not the same as an equation, which states that two mathematical expressions are equal.
Designs n More Custom Creations
Design Fee $10 $0
Variable cost per shirt $7.50 $9.00
Let the number of shirts = x
Designs n More's total costs = 10 + 7.5x ... Expression 1
Custom Creations' total costs = 9x ... Expression 2
For the total costs of both companies to be the same, the two expressions for their total costs will be equal:
10 + 7.5x = 9x
10 = 1.5x
x ≈ 7
Thus, approximately, 7 shirts need to be bought for the total costs to be the same.
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Question Completion:How many shirts will make the two companies' total costs the same?
Solve the following system of equations
using the elimination method.
3x + 2y = 5
2x + 4y = 2
Answer:
x=2 , y= (-1/2)
Step-by-step explanation:
3x + 2y = 5
2x + 4y = 2
Consider Equation 1:- (3x+2y=5)
Multiply both sides by 2
2(3x + 2y) = 5*2
6x + 4y = 10
Subtract both equations-
6x + 4y =10
-2x + 4y =2
=> 4x =8
x = 2
Substitute the value of x in equation 1
3*2 + 2y = 5
6 + 2y = 5
2y = 5-6
2y = (-1)
y = (-1/2)
Hope is helps ;)
if a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher is interested in
The appropriate option to fill the blanks would be: a. validity. and b. reliability.
Both validity and reliability are important concepts in research that determine the quality of data and measurement. Validity refers to the accuracy and truthfulness of a measurement, while reliability refers to the consistency and stability of a measurement. The researcher would be interested in both to ensure that the data measure what they are supposed to measure accurately and consistently. In research, both reliability and validity are important concepts. Reliability refers to the consistency and stability of a measurement, while validity refers to the accuracy and truthfulness of a measurement. So, if a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher would be interested in both reliability and validity of the data.
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Complete Question
If a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher is interested in _________
a. validity.
b. reliability.
c. confirmability.
d. credibility.
There are 48 girls and 32 boys.The choir teacher plans to arrange the students in equal rows.If the number of boys and girls in each row will be the same as the one before it , what is the greatest number of students that could be in each row?A.4 B.6 C.8 D.12
The greatest number of average students that could be in each row is 8. This is because there are an equal number of girls and boys, so the teacher can arrange them in equal rows with 4 girls and 4 boys in each row.
48 girls/8 students per row = 6 rows
32 boys/8 students per row = 4 rows
Total number of rows = 10
The teacher has 48 girls and 32 boys in the choir and wants to arrange them in equal rows. To accomplish this, the teacher needs to ensure that the same number of boys and girls are in each row. The greatest number of students that can be in each row is 8. This is because if 4 girls and 4 boys are in each row, then the total number of rows will be 6 for the girls and 4 for the boys, totaling 10 rows. This arrangement will allow the teacher to keep an equal number of boys and girls in each row, and will also ensure that the same number of students is in each row. Having 8 students in each row is the most efficient way to arrange the choir, as it will require the least amount of rows and will still keep the number of boys and girls even.
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What is the probability of tossing a coin and it landing on head 8 times in a row
Answer:
The probability of tossing a fair coin and it landing on heads 8 times in a row is (1/2)^8 = 1/256. This means that there is a 1 in 256 chance that a fair coin will land on heads 8 times in a row. The probability of an event can be calculated by taking the number of favorable outcomes and dividing it by the number of possible outcomes. In this case, there is only one favorable outcome (tossing a heads 8 times in a row) and two possible outcomes for each toss (heads or tails), so the probability is 1/2^8 = 1/256.
Step-by-step explanation:
Answer:
it should be 0.04percent.
3
David and Alec are comparing the international calling plans on their cell phones. On his plan,
David pays $4 just to place a call and $1 for each minute. When Alec makes an international
call, he pays $1 to place the call and $2 for each minute. A call of a certain duration would
cost exactly the same under both plans. What is the duration?
Write a system of equations, graph them, and type the solution.
The duration of the call for the same cost is, 3 minutes.
A system of equations, y = 4 + x
y = 1 + 2x
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
Let's let t be the duration of the call in minutes.
Then, the cost of the call under David's plan would be:
4 + t
And the cost of the call under Alec's plan would be:
1 + 2t
Since the costs are the same, we can set these two expressions equal to each other and solve for t:
4 + t = 1 + 2t
Simplifying and solving for t, we get:
t = 3
Therefore, a call of 3 minutes duration would cost exactly the same under both plans.
To graph the system of equations, we can plot the two expressions for the cost of the call on the y-axis and the duration of the call on the x-axis. The two equations are:
y = 4 + x
y = 1 + 2x
Plotting these two lines on the same graph, we get:
The solution is the point where the two lines intersect, which is (3, 7). This confirms that a call of 3 minutes duration would cost exactly the same under both plans, and the cost would be $7.
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Here are 2 points in the plane.
B
Explain how to construct a line segment that is half the length
of segment AB .
O Construct a new point and create an angle bisector.
Create two circles centered at each point to the other and make a line through their intersections to
cut it in half.
O
Link them with a segment, make a new point on it and make a circle centered at A and B to the new
point.
To construct a line segment that is half the length of segment AB, follow the steps below.
What is the intersection points of the circle?
The intersections of two circles determine a line known as the radical line. If three circles mutually intersect in a single point, their point of intersection is the intersection of their pairwise radical lines, known as the radical center.
Draw a straight line passing through points A and B.
Bisect the line segment AB at point C.
Draw a circle centered at point C with a radius equal to AC or BC.
The intersection points of the circle and the line passing through A and B will be points D and E.
The line segment DE will be half the length of segment AB.
Therefore, To construct a line segment that is half the length of segment AB, follow the steps above.
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Samantha drove 468 miles from Omaha, Nebraska to Chicago, Illinois. She drove 251 miles during the first day. Set up an equation (where D represents the distance traveled during the second day) that could be used to find the distance Samantha traveled during the second day. Then, SOLVE the equation.
Samantha drove 217 miles during the second day.
How set up and solve an equation?Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.
Let D be the distance Samantha traveled during the second day. Then the total distance she drove is 468 miles. The equation will be:
D + 251 = 468
Solving for D:
D = 468 - 251
D = 217
Therefore, Samantha drove 217 miles during the second day.
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Write the exponential function that describes the situation.
The initial amount of the function is 11 and then it decreases by a factor of 8/9 with each unit increase in x
The function that describes the situation is y=
Answer: The form for an exponential equation is f(t)=P0(1+r)t/h where P0 is the initial value, t is the time variable, r is the rate and h is the number needed to ensure the units of t match up with the rate. Plug in the initial value for P and the rate for r. You will have f(t)=1,000(1.03)t/h.
Step-by-step explanation:.....
