The Chenery School sold a total of 78 tickets for the spring concert. Advance tickets sold for $5. 00 and tickets purchased the night of the concert cost $10. 50. If the total revenue for the night was $533, how many advance tickets were sold?
? tickets
Answer:
The answer is Find the equation of a line that passes through the point (-5,-1) and has a gradient of −1/2. Leave your answer in the form y=mx+c
Step-by-step explanation:
The equation of a line that passes through the point (-5,-1) and has a gradient of −1/2. Leave your answer in the form y=mx+c
The number of advance tickets sold was 52.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 8 is an equation.
We have,
Advance tickets x = $5.00
Tickets purchased the night of the concert cost y = $10.50
Total number of tickets = 78
The total cost of the tickets = $533
Now,
x + y = 78
x = 78 - y
Substituting
5x + 10.50y = 533
5 (78 - y) + 10.50y = 533
390 - 5y + 10.50y = 533
5.50y = 533 - 390
5.50y = 143
y = 26
Now,
x = 78 - y
x = 78 - 26
x = 52
Thus,
52 advance tickets were sold.
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what are the coordinates of a vertex of the hyperbola? (0, −4) (−3, 0) (0, 0) (0, 5)
The coordinates of a vertex of the hyperbola are (0, a) and (0, -a) for the hyperbola \(y^2/a^2 - x^2/b^2 = 1\), where "a" and "b" are constants.
the given answer is provided below:Given, the coordinates of a vertex of the hyperbola are (0, −4), (−3, 0), (0, 0), and (0, 5).In order to determine which of these coordinates represents the vertex, we need to identify the value of a, which is the distance from the center of the hyperbola to the vertex, for the hyperbola equation.If a hyperbola is expressed in the form of\(y^2/a^2 - x^2/b^2 = 1\), where "a" and "b" are constants, then the center of the hyperbola is the origin (0, 0), and the distance between the center and the vertex along the y-axis is "a".Let's go over each point:1. (0, −4)Since this coordinate is four units below the origin, the value of "a" should be 4. Hence, the coordinates of the vertex would be (0, 4) and (0, -4).2. (−3, 0)
Since this coordinate is three units to the left of the origin, it is not a vertex.3. (0, 0)Since this coordinate is at the center of the hyperbola, it is not a vertex.4. (0, 5)Since this coordinate is five units above the origin, the value of "a" should be 5. Hence, the coordinates of the vertex would be (0, 5) and (0, -5).Therefore, the coordinates of the vertices are (0, 4) and (0, -4), and (0, 5) and (0, -5) respectively.
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A major automobile company claims that its new electric powered car has an average range of more that 300 miles. A random sample of 40 new electric cars was selected to test the claim. Assume that the population standard deviation is 12 miles. A 5% level of significance will be used for the test. A) what would be the consequences of making a type ii error in this problem? b) compute the probability of making a type ii error if the true population mean is 305 miles. C) what is the maximum probability of making a type i error in this problem?
Answer:
Step-by-step explanation:
urmom
your cell phone bill is $24.99 per month plus $0.16 for each text you send or receive. you have at most $29 to spend on your cell phone bill. What is the maximum number of texts you can send or receive next month?
The maximum number of texts to send or received in next month will be
25.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Cell phone bill = $24.99 per month
Cost of each text to send or receive = $0.16
Now,
You have at most $29 to spend on your cell phone bill.
Let number of text to send or receive = x
So, We can formulate;
$24.99 + $0.16x < $29
Solve for x as;
$24.99 + $0.16x < $29
Subtract 24.99 we get;
$0.16x < $29 - $24.99
$0.16x < $4.01
Divide by 0.16 we get;
x < 25.06
After rounding we get;
x < 25
Thus, The maximum number of texts to send or received in next month will be 25.
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for a certain population. what percentage of democrats are aged between 35 and 55? if it is not possible to tell from the table, say so.
The table does not provide enough information to determine the percentage of Democrats aged between 35 and 55.
The table presents conditional distributions of political party affiliation for each age group but lacks the joint distribution. To calculate the percentage of Democrats aged between 35 and 55, we need the joint distribution of age and political party affiliation.
The table only provides conditional probabilities, which describe the probability of being a Democrat within each age group. Without knowing the overall distribution of age groups or the correlation between age and party affiliation, we cannot accurately determine the specific percentage of Democrats aged between 35 and 55 from the given information.
Therefore, it is not possible to calculate the desired percentage using the provided table alone.
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Complete Question:
Provide an appropriate response The table below shows the conditional distributions of the variable political party affliation corresponding to each age group for a certain population.What percentage of Democrats are aged between 35 and 55?If it is not possible to tell from the table,say so Age Group 18-34 35-55 Over55 Total Democrat 0.45 0.46 0.43 0.447 Party Republican 0.40 0.44 0.49 0.443 Other 015 0.10 0.08 011 [Total 10 10 10 10 OIt is not possible to tell from this table. 44.7% 34% 46%.
a quasi-experimental design attempts to
The correct option A. quasi-experimental design; used to show that the independent variable's effect can be reversed.
Explain the quasi-experimental design?In that an independent variable is manipulated, quasi-experimental research is comparable to experimental research.
Similar to real trials, the quasi-experimental research approach seeks to establish the causal link between a variables under study. A quasi-experimental design, like a true experiment, seeks to establish a cause-and-effect link here between independent and dependent variable. However, unlike actual experiments, quasi-experimental studies use non-random criteria when assigning individuals to groups. A quasi-experiment, however, does not rely upon random assignment, unlike an actual experiment. Instead, non-random criteria are used to classify participants into groups.Thus, quasi-experimental design used to show that the independent variable's effect can be reversed.
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The correct question is-
One method used to demonstrate the reversibility of the effect of the independent variable is a(n):
A. quasi-experimental design.
B. interrupted time series design.
C. control series design.
D. ABA design.
In the circle below, EG is a diameter. Suppose m FG = 116° and mZ GFH=69°. Find the following.
We can conclude that the, diameter m GFH = 21° and m GZH = 116°.
In geometry, the diameter of a circle is any straight line segment that has an endpoint on the circle and travels through its center.
Since the diameter is the length of the line that runs tangent to the two points at either end of the circle. Thus, diameter of a circle is the distance between its two furthest points.
We are given that angle EGF is a right angle (90°) because EG is a diameter.
We have been given that m FG = 116°, we can calculate m FGE by subtracting it from 180°;
m FGE = 180 degrees - m FG = 180 degrees - 116 degrees
m FGE = 64 degrees
m GFH = 180° - m ZGF - m ZGFH = 180° - 90° - 69°
m GFH = 21°
Finally, we can find m GZH by subtracting m FGE from 180° (the sum of triangle angles):
180° m GZH - 180°
m FGE - 64° = 116°
Therefore, m GFH = 21° and m GZH = 116°.
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Find the weighted average of these values. Value Weight 2.002.00 75.0u.0% 3.003.00 15.0.0% 4.004.00 10.0%
The reported values have a weighted average of 2.35.
Given the following data:
Value Weight
2.00 75.0%
3.00 15.0%
4.00 10.0%
The weighted average of these figures is calculated as follows:
First, multiply each value by its corresponding weight in decimal form and then add up the products:
2.00 * 0.75 + 3.00 * 0.15 + 4.00 * 0.10 = 1.50 + 0.45 + 0.40 = 2.35.
dividing the outcome by the weighted average:
2.35 ÷ (0.75 + 0.15 + 0.10) = 2.35 ÷ 1.00 = 2.35.
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Please help me out with this question!!!
Answer:
B and E are true statements
A line passes through the point (-6, 5) and has a slope of -3.
Write an equation in slope-intercept form for this line.
Answer:
y
Step-by-step explanation:
y
=
4
x
−
26
Explanation:
The slope-intercept form of a line is:
y
=
m
x
+
b
where:
m
is the slope of the line
b
is the y-intercept
We are given that
m
=
4
and the line passes through
(
7
,
2
)
.
∴
2
=
4
⋅
7
+
b
2
=
28
+
b
b
=
−
26
Therefore the equation of the line is:
y
=
4
x
−
26
graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}
What are 3 signs of symptoms of an allergic reaction?.
Hives, itching, and pale or flushed skin are examples of allergies. reduced blood pressure (hypotension) breathing difficulties and wheezing can result from airway constriction and swelling of the tongue or throat.
What causes allergies?
Your body reacts to an allergen when it is generally harmless, such as pollen, mold, animal dander, latex, certain foods, or insect bites. The symptoms of allergies can range in severity from minor (rash or hives, itching, runny nose, watery/red eyes) to life-threatening.Why do allergies occur?
If your immune system overreacts to something that is typically harmless but causes an allergic reaction in someone who is sensitive to it, you will experience allergy symptoms. We call this chemical an allergy.
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Use the given information to find the equation of the quadratic function. Write the function in standard form f(x) ax² + bx + c.
The zeros of the function are x = 8 and x = -2. Use the fact that f(2)=-72 to find a.
f(x)=
The equation of the quadratic function is: f(x) = 3x² - 18x - 48
To find the equation of a quadratic function in standard form, we need to use the zeros of the function and one additional point.
Given that the zeros are x = 8 and x = -2, we can write the equation in factored form as:
f(x) = a(x - 8)(x + 2)
To find the value of "a," we can use the fact that f(2) = -72.
Substituting x = 2 into the equation, we have:
-72 = a(2 - 8)(2 + 2)
Simplifying, we get:
-72 = a(-6)(4)
-72 = -24a
Dividing both sides by -24, we find:
3 = a
Now that we know the value of "a," we can rewrite the equation in standard form:
f(x) = 3(x - 8)(x + 2)
So, the equation of the quadratic function is:
f(x) = 3x² - 18x - 48
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40% of the students passed both exams. 80% of the students passed the second exam. how many students (in percent) who passed the second exam also passed the first exam ?
The total percentage of students who passed the second exam also passed the first exam is 75 %
we are given that a total of 40% of the students passed both exams and 80% of the students passed the second exam. Here we assume that there are a total of 150 students in that particular class, therefore we can say 40 students passed both exams and 80 students passed the firsts exam, so the number of students who passed second and first too are:
=>40/80 *150
= 75
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Let x1,x2,...,X64 be a random sample from a distribution with pdf f(x) = 3x 2 0, otherwise Use CLT to find an approximate distribution of y. ON (0.7, 0.021) ON (0.75, 0.00033) ON (0.75, 0.021) ON (0.7, 0.00033)
Using Central Limit Theorem (CLT) an approximate distribution of y is 0.2578, 0.1902 ,0.9963 , 0.9765.
To use the Central Limit Theorem (CLT), we need to find the mean and variance of the distribution of the sample mean Y.
The mean of the distribution of X is given by:
E[X] = ∫x f(x) dx = ∫x 3x^2 dx (from 0 to 1) = 3/4
The variance of the distribution of X is given by:
Var(X) = ∫(x - E[X])^2 f(x) dx = ∫(x - 3/4)^2 3x^2 dx (from 0 to 1) = 1/20
By the CLT, the sample mean Y is approximately normally distributed with mean μ = E[X] = 3/4 and variance σ^2 = Var(X)/n, where n is the sample size.
For each of the given values of n and σ^2, we can compute the standard deviation σ as σ = sqrt(σ^2/n), and then use the standard normal distribution to find the probability that Y falls in the given interval.
For example, for (n, σ^2) = (64, 0.021), we have:
σ = sqrt(0.021/64) = 0.077
Z1 = (0.7 - μ)/σ = (0.7 - 0.75)/0.077 ≈ -0.649
Z2 = (0.75 - μ)/σ = (0.75 - 0.75)/0.077 = 0
P(0.7 < Y < 0.75) = P(Z1 < Z < Z2) = P(-0.649 < Z < 0) = 0.2578 (from standard normal distribution table)
Similarly, for the other cases, we have:
(n, σ^2) = (64, 0.021)
P(0.7 < Y < 0.75) = 0.2578
(n, σ^2) = (64, 0.00033)
P(0.75 < Y < 0.8) = P(Z < 0.904) - P(Z < 0.309) ≈ 0.1902 (from standard normal distribution table)
(n, σ^2) = (256, 0.021)
P(0.7 < Y < 0.75) = P(Z < 2.597) - P(Z < -0.649) ≈ 0.9963 (from standard normal distribution table)
(n, σ^2) = (256, 0.00033)
P(0.75 < Y < 0.8) = P(Z < 2.128) - P(Z < 0.542) ≈ 0.9765 (from standard normal distribution table)
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t C(t)
−2 7
−1 4
0 3
1 4
2 7
What is the equation of C(t)?
C(t) = −(x − 3)2
C(t) = (x − 3)2
C(t) = −x2 + 3
C(t) = x2 + 3
Answer:
the answer is c(t)=x2 +3
Step-by-step explanation:
because if u insert every x value in x place u will get the 2nd coordinate or y value so it is the correct equation
list five perfect squares.
Perfect squares are numbers gotten by squaring whole numbers. Therefore, 5 exmaples of perfect squares are
4(2^2)
9(3^3)
16(4^4)
25(5^5)
49(7^7)
So 5 perfect squares are 4, 9, 16, 25, 49
an exam is made of two papers borth scored differenlty
Maryam received a 71% overall exam percentage score due to her performance on Paper 1, which is worth more points than Paper 2.
What is the total percentage for Maryam?We must determine the weighted average of Maryam's results on each paper in order to determine her overall exam % score. We may weight Maryam's results appropriately since Paper 1 accounts for 60% of the total marks and Paper 2 for 40% of the total marks:
Overall percentage score: (65%) = 0.6; (80%) = 0.4.
= 0.6 × 0.65 + 0.4 × 0.80 (converting percentages to decimals) (converting percentages to decimals)
= 0.39 + 0.32
= 0.71
Maryam received a 71% overall exam percentage score as a result. Thus, she performed 71 out of 100 in the test. Given that Paper 1 is worth more points than Paper 2, Maryam's performance on Paper 1 will have a bigger impact on her final score because of the weightings utilized in this computation.
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Complete question is:
An exam is made of two papers that score differently.
Paper 1 has 120 marks.
Paper 2 has 80 marks.
Maryam scores:
65% on Paper 1
80% on Paper 2
Work out Maryam TOTAL percentage score for the exam. You must show your working
helpppppppppppp meeeeeeeeeeee pleaseee!!!
Each element in the domain is mapped into only one element in the range, so this is a function, the correct option is D.
Is the relation a function?
A relation maps inputs into outputs, such that the notation used is (input, output).
And a relation is a function only if each input is mapped into only one output.
Here we have the relation:
{(4, 7), (2, 8), (-2, 8), (0, 9)}
There we can see that no input is mapped into more than one output, so this is a function, the correct option is D.
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-0.4-x=
−0.4−x=
\,\,-6(x-3.1)+6x
−6(x−3.1)+6x
Answer:
Step-by-step explanation:
I think you meant
-0.4 - x = -6(x - 3.1) + 6x
-0.4 - x = -6x + 6x + 18.6
-0.4 - x = 18.6
-x = 18.6 + 0.4
-x/-1 = 19/-1
x = -19
check
-0.4 - (-19) = -6(-19 - 3.1) + 6(-19)
18.6 = -6(-22.1) + (-114)
18.6 = 132.6 - 114
18.6 = 18.6
Order of Operations Question
P
E
M
D
A
S
Answer:
c.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I need help thank you
Answer:
16n + 41
Step-by-step explanation:
2(-n - 3) - 7(5 + 2n) (Given)
-2n - 6 - 35 - 14n (Distribute)
-16n - 41 (Add like terms)
16n + 41 (Divide by a factor of -1)
Answer:
B. -16n - 41
Step-by-step explanation:
Use the distributive property:
2(-n - 3) - 7(5 + 2n)
-2n - 6 - 35 - 14n
Combine like terms:
(-2n - 14n) + (-6 - 35)
-16n - 41
The mangle6 = (11x 8)° and mangle7 = (12x â€" 4)° parallel lines x and y are cut by transversal w. on line x where it intersects with line w, 4 angles are created. labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. on line y where it intersects with line w, 4 angles are created. labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. what is the measure of angle4? mangle4 = 40° mangle4 = 48° mangle4 = 132° mangle4 = 140°
The measure of angle 4 is option (c) mAngle4 = 132⁰
Since the lines x and y are parallel, the corresponding angles formed by the transversal w are congruent. Therefore, we can write
mAngle2 = mAngle5
mAngle3 = mAngle6
mAngle4 = mAngle7
mAngle1 = mAngle8
We are given that mAngle6 = (11x + 8)° and mAngle7 = (12x – 4)°. We need to find the measure of mAngle4.
Using the fact that the sum of the angles around a point is 360°, we can write
mAngle2 + mAngle3 + mAngle4 + mAngle1 = 360°
Substituting the congruent angles, we get
mAngle5 + mAngle6 + mAngle7 + mAngle8 = 360°
Substituting the given values of mAngle6 and mAngle7, we get
mAngle5 + (11x + 8)° + (12x – 4)° + mAngle8 = 360°
Simplifying, we get
mAngle5 + 23x + 4° = 360°
mAngle5 + 23x = 356°
We are not given any information about mAngle5, so we cannot directly solve for x. However, we can use the fact that angles 5 and 7 are alternate interior angles formed by parallel lines and a transversal, and therefore they are congruent. Hence
mAngle5 = mAngle8
Substituting this in the equation above, we get
2mAngle5 + 23x = 356°
Solving for mAngle5, we get
mAngle5 = (356° - 23x)/2
Now, we can use the fact that mAngle2 + mAngle5 + mAngle6 = 180°, since angles 2, 5, and 6 form a straight line. Substituting the given values of mAngle6 and mAngle5, and using the fact that mAngle2 = mAngle5, we get
mAngle5 + mAngle5 + (11x + 8)° = 180°
2mAngle5 + 11x + 8° = 180°
2mAngle5 = 172° - 11x
Substituting the expression for mAngle5 we found earlier, we get
(356° - 23x)/2 = 86° - 5.5x
Solving for x, we get
23.5x = 270°
x = 11.4894°
Now, we can find the measure of mAngle4 by substituting x into the expression for mAngle7
mAngle7 = (12x – 4)°
mAngle4 = mAngle7 = 12(11.4894°) – 4°
≈ 132⁰
Therefore, the correct option is (c) mAngle4 = 132⁰
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9.) List three things vertical and horizontal lines have in common.
Answer:
Horizontal lines have a slope of zero, and run parallel to the x axis. Vertical lines have a undefined slope, and run parallel to the y axis. The equation for a horizontal line equals y=c, and the equation for a vertical line equals x=c. If a horizontal line crosses a vertical line the two lines would be perpendicular to one another.
Step-by-step explanation:
Use this:
What is a Horizontal Line?A Horizontal Line is a line that goes straight from left to right (or right to left) parallel to the x-axis of the coordinate plane. All of the points on the line will have the same y-coordinates.
What is a Vertical Line?A Vertical Line is a line that goes straight up and down Parallel to the y-axis of the coordinate plane. All of the points on the line will have the same x-coordinates.
Commonality:How is muscular strength commonly measured ?
Muscular strength can be measured based on the amount of weight lifted.
Muscular strength can be measured based on the amount of weight lifted. The upper-body and lower-body strength are measured separately. Muscular strength is typically measured which is known as a One Rep Max (1RM).
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How many grams are in 1 kilogram?0.0011001,0000.1
Answer:
There are 1000 grams in 1 kilogram.
\(1000\text{ grams}\)Explanation:
Recall that;
\(1\text{ Kilogram = 1000 grams}\)Therefore, there are 1000 grams in 1 kilogram.
\(1000\text{ grams}\)Note:
\(\begin{gathered} \text{Tera }\rightarrow1,000,000,000,000 \\ \text{Giga }\rightarrow1,000,000,000 \\ \text{Mega }\rightarrow1,000,000 \\ \text{Kilo }\rightarrow1,000 \\ Hecto\text{ }\rightarrow100 \\ \text{Deka }\rightarrow10 \\ \text{Deci }\rightarrow\text{ 0.1} \\ \text{centi }\rightarrow0.01 \\ \text{milli }\rightarrow0.001 \\ micro\text{ }\rightarrow\text{ 0.000 001} \\ \text{nano }\rightarrow\text{ 0.000 000 001} \\ \text{ Pico }\rightarrow\text{ 0.000 000 000 001} \end{gathered}\)At the pep rally, 14 out of the first 20 students who entered the gym were wearing a Hoodie. Based on this information, if 700 students were at the pep rally, how many students could be expected to NOT be wearing a Hoodie?
From the information about the students wearing Hoodie , expected number of students to not wearing Hoodie is equal to 210.
As given in the question,
Number of students entered in the gym = 20
Number of students wearing Hoodie = 14
Based upon the above information,
Number of students in the prep rally = 700
Let us consider x number of students wearing Hoodie in the prep rally
Therefore,
14: 20 and x : 700 are in proportion we get,
14/ 20 = x / 700
⇒ 20x = 14 × 700
⇒ x = (14 × 700) / 20
⇒ x= 490
Expected number of students not wearing Hoodie
= 700 - x
= 700 - 490
= 210
Therefore, from the information about the students wearing Hoodie , expected number of students to not wearing Hoodie is equal to 210.
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Write an inequality for the following statement: A child must be at least 5 to begin Red Cross swimming lessons.
What does the word Expressions mean in mathematics in your own words?
Answer:
Expression in mathematics means word problem.
Which graph has a slope of Two-thirds?
Answer:
On the coordinate plane, a line with a positive slope passes through the points (0, negative 1) and (1, 1).
if the endpoints of AB are A(-1,3), B(7,-1) What is the coordinate of the midpoint M
Answer:
b
Step-by-step explanation:
bbbnm