Louise got scores 88 and 78 on her first two tests. What score must she
make on her third test to keep an average of 80 or greater?
Answers
Answer:
You want the average of three scores to be at least 80:
(88 + 78 + x)/3 ≥ 80
88 + 78 + x ≥ 80(3)
166 + x ≥ 240
x ≥ 74
You must make at least 74 on the 3rd test to maintain an average of at least 80%
Step-by-step explanation:
Related Questions
A seat in Section A of the stadium is chosen at random. The fan sitting in that seat receives two free tickets to next week's game. Find the probability that a person in each color seat would receive the free tickets. 1. P(yellow) = 2. P(red) = 3. P(blue) = 4. P(blue or yellow) = 5. P(red or blue) = Red Blue Blue Blue Seats in Section A Red Red Blue Blue Red Red Blue Blue Red Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Answers
The probabilities are:
1. P(yellow) = 2/5
2. P(red) = 3/10
3. P(blue) = 3/10
4. P(blue or yellow) = 7/10
5. P(red or blue) = 3/5
To find the probability that a person in each color seat would receive the free tickets, we need to calculate the probabilities of each event.
1. P(yellow): There are 8 yellow seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a yellow seat at random is P(yellow) = 8/20 = 2/5.
2. P(red): There are 6 red seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a red seat at random is P(red) = 6/20 = 3/10.
3. P(blue): There are 6 blue seats out of a total of 20 seats in Section A. Therefore, the probability of selecting a blue seat at random is P(blue) = 6/20 = 3/10.
4. P(blue or yellow): To calculate the probability of selecting a blue or yellow seat, we add the individual probabilities of selecting a blue seat and a yellow seat: P(blue or yellow) = P(blue) + P(yellow) = 3/10 + 2/5 = 7/10.
5. P(red or blue): To calculate the probability of selecting a red or blue seat, we add the individual probabilities of selecting a red seat and a blue seat: P(red or blue) = P(red) + P(blue) = 3/10 + 3/10 = 6/10 = 3/5.
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Convery the equation of the parabola to standard form. Show all work.
Answers
Recall that the equation of a vertical parabola in standard form is as follows:
\(\mleft(x-h\mright)^2=a\mleft(y-k\mright),\)where (h,k) is the vertex of the parabola.
Adding 4y-4 to the given equation we get:
\(\begin{gathered} x^2+8x-4y+4+4y-4=0+4y-4,^{} \\ x^2+8x=4y-4. \end{gathered}\)Adding 16 to the above equation we get:
\(\begin{gathered} x^2+8x+16=4y-4+16, \\ x^2+8x+16=4y+12. \end{gathered}\)Now, notice that:
\(\begin{gathered} x^2+8x+16=x^2+2\cdot4\cdot x+4^2=(x+4)^2, \\ 4y+12=4(y+3). \end{gathered}\)Therefore we can rewrite the given equation as follows:
\((x+4)^2=4(y+3)\text{.}\)Answer:
\((x+4)^2=4(y+3)\text{.}\)
Lines that appear to be tangent are tangent. O is the center of each circle.
What is the value of x? Show all work to receive full credit.
Answers
Note that in the prompt above, the value of x is given as: 16°
To answer the issue, we will first name all of the points supplied to us on the isosceles triangle, then identify O, and last discover the value of x. See the attached image.
What is an isosceles triangle?As a result, an isosceles triangle has two equal sides and two equal angles. The term is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.
In ΔAOB
OA = OB = R, the radius of the circle O,
therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.
Thus, ∠OAB = ∠OBA = 53°
Sum of all the angles of a triangle = 180°
∠O + ∠AOB + ∠OBA = 180°
We know ∠AOB = ∠OBA, therefore,
∠O + 2(∠AOB) = 180°
∠O + 2(53°) = 180°
∠O = 180 - 106
∠O = 74°
In ΔOBC,
BC is the tangent to the circle O, therefore,
∠OBC = 90°
Sum of all the angles of a triangle = 180°
∠O + ∠OBC + ∠OCB = 180°
74° + 90° + ∠OCB = 180°
∠OCB = 180° - 74° - 90°
∠OCB = 16°
Hence, the value of x is 16°.
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ANSWER ASAP FOR BRANLIEST
Sonia is making a recipe that requires 2 cup of water and 5 cups of flour. Which of the following combinations shows the same ratio of water to flour?
Answers
Answer:
Well, I can't say which of the following combinations, because I can't see what you see. But I will list some equivalent ratios & hope one fits. If it doesn't, maybe type in the comments what the choices are & I can help more.
Step-by-step explanation:
2:5
4:10
6:15
8:20
10:25
12:30
14:35
3x+ (-5y)= 12 what are the values of a,b,& c?
Answers
Answer:
a=3
b=(-5)
c=12
........................
4.) describe one dimensional, two dimensional, and three dimensional parts or aspects of the blocks and figure 11.11. In each case, compare the size of the three blocks, using an appropriate unit. Use this unit to show that each block can be considered biggest of all three.
Answers
Answer:
Third block is the biggest,
Step-by-step explanation:
Since size of a block is a three dimensional property and decided by the volume.
Formula of the volume of a prism of block is,
V = Length × width × height
Volume of block (1) = 1 × 1 × 7 = 7 m³
Volume of block (2) = 5 × 5 × 1 = 25 m³
Volume of block (3) = 3 × 3 × 3 = 27 m³
This reveals, volume of block (3) is maximum and volume of block (1) is the least.
Therefore. \(V_3>V_2>V_1\) is the decreasing order of the volumes of the given blocks.
Third block is the biggest of all three.
PLEASE HURRY AND HELP ME WITH THIS !! ILL GIVE BRAINLIEST
Answers
Answer:
C. Reflection, translation
Step-by-step explanation:
If we compare Figure A to Figure B, you might notice that they mirror each other. This means that Figure A was reflected. Now, if we take a look at Figure B and Figure C, you should see that both figures are the exact same shape, size, and facing the same direction. The only thing that changed was the location. So, this means that Figure B was translated.
I hope this helps! Have a lovely day!! :)
Triangle B is reflected over the y axis which mirrors Triangle A, and Triangle C is translated over the x axis.
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answers
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
Which ordered pairs represent points on the graph of this equation? Select all that apply. y = 2x - 3 a)3-3 b) 0,-3 c) 5,7 d) -2,-7 e) 2,1 or f) 4,5
Answers
The ordered pairs that represent points on the graph of y = 2x - 3 are (0,-3), (5,7), (-2,-7), (2,1), and (4,5).
What is equation?An ordered pair is a pair of numbers written in a specific order (x,y) that represents a point in the coordinate plane.
What is graph?A graph is a visual representation of data or a mathematical function that is plotted on a coordinate plane, usually with an x and y-axis. It is used to analyze trends and relationships between variables.
According to the given information:
To determine whether a given ordered pair represents a point on the graph of the equation y = 2x - 3, we need to substitute the values of x and y into the equation and see if the equation is true.
a) (3,-3):
y = 2x - 3
-3 = 2(3) - 3
-3 = 3
This is not true, so (3,-3) is not on the graph.
b) (0,-3):
y = 2x - 3
-3 = 2(0) - 3
-3 = -3
This is true, so (0,-3) is on the graph.
c) (5,7):
y = 2x - 3
7 = 2(5) - 3
7 = 7
This is true, so (5,7) is on the graph.
d) (-2,-7):
y = 2x - 3
-7 = 2(-2) - 3
-7 = -7
This is true, so (-2,-7) is on the graph.
e) (2,1):
y = 2x - 3
1 = 2(2) - 3
1 = 1
This is true, so (2,1) is on the graph.
f) (4,5):
y = 2x - 3
5 = 2(4) - 3
5 = 5
This is true, so (4,5) is on the graph.
Therefore, the ordered pairs that represent points on the graph of the equation y = 2x - 3 are: (0,-3), (5,7), (-2,-7), (2,1), and (4,5). Answer: b), c), d), e) and f).
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Matt paid $450 in interest on a 15 month note for
$5600. Find the rate of interest paid.
Answers
Answer:
The rate is 6.43%
Step-by-step explanation:
Given
\(I = 450\) --Interest
\(P = 5600\) -- Principal
\(T= 15\ months\) --Time
Required
Determine the rate
Using simple interest formula:
\(I = PRT\)
Make R the subject
\(R = \frac{I}{PT}\)
Convert time to years
\(T= 15\ months\)
\(T =\frac{15}{12}\ years\)
\(T =1.25\ years\)
Substitute values for I, P and T
\(R = \frac{450}{5600*1.25}\)
\(R = \frac{450}{7000}\)
\(R = 0.0643\)
Convert to percentage
\(R = 0.0643*100\%\)
\(R = 6.43\%\)
Please round to the nearest 100th place
Answers
Answer:
its 14.3, you first have to multiply each side and just work down
13 out of the 25 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time. Write your answer using a percentage sign (%).
Answers
Answer:
52%
Step-by-step explanation:
13/25 x 100 = 52%
Answer:
52%
Step-by-step explanation:
13/25 = .52
To change a decimal to a percent, multiply the decimal by 100%
.52 x 1005 = 52%
This makes sense because half of 25 is 12.5 which would be 50% and 13 is just a little more than 12.5
Will pick brainliest! I need help with this, actual effort in answering is much appreciated.
Answers
Answer:
option 2
Step-by-step explanation:
4^2=16/8=2. 4^2=16/16=1. 2-1=1
What is the volume of the composite figure?
A complex figure comprised of 2 rectangular prisms. Prism A has a length of 7 inches, a width of 3 inches, and a height of 2 inches. Prism B has a length of 3 inches, width of 3 inches, and height of 7 inches.
69 in.3
105 in.3
276 in.3
4,536 in.3
Answers
Therefore, the volume of the composite figure is 105 cubic inches.
What is volume?In physics and mathematics, volume refers to the amount of space occupied by a three-dimensional object or region. It is a measure of the size of an object in three dimensions, and is typically expressed in cubic units, such as cubic meters, cubic feet, or cubic centimeters. The volume of an object can be calculated using a formula that is specific to the shape of the object. For example, the volume of a cube can be calculated by multiplying the length, width, and height of the cube, while the volume of a sphere can be calculated using the formula 4/3 x π x r^3, where r is the radius of the sphere. The concept of volume is important in many fields, including architecture, engineering, and science, as it is used to calculate the amount of space that an object or substance occupies, and to determine quantities such as mass and density.
Here,
To find the volume of the composite figure, we need to find the volume of each rectangular prism and add them together.
The volume of a rectangular prism is given by the formula V = l*w*h, where l is the length, w is the width, and h is the height.
For Prism A, V = (7)(3)(2) = 42 cubic inches.
For Prism B, V = (3)(3)(7) = 63 cubic inches.
The total volume of the composite figure is the sum of the volumes of the two prisms:
V_total = V_A + V_B
= 42 + 63
= 105 cubic inches
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Riyo has a 20 foot long string of lights she wants to hang diagonally across her bedroom ceiling. If her bedroom is 14 feet wide and 15 feet long, is the string of lights long enough to hang diagonally across the ceiling?
Answers
Answer:
The lights are not long enough. They need to be about half a foot longer to work.
Step-by-step explanation:
You must use the pythagorean theorem to find the diagonal distance.
\(a^{2} +b^{2} =c^{2} \\15^{2} +14^{2} =c^{2}\\225 + 196 = c^{2}\\421 = c^{2\\ = \sqrt{421} =20.518...\)
This shows us that the distance is approximately 20.5 feet. Her lights are not long enough.
2. (7 points) If f(x) = -5 cosx+xtanx, find df and evaluate if x = pi/4 and dx = 1/24
Answers
The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).
To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.
Apply the product rule:
Let u(x) = -5cos(x) and v(x) = xtan(x).
Then, the product rule states that (uv)' = u'v + uv'.
Derivative of u(x):
u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]
Derivative of v(x):
v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]
= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]
Applying the product rule:
(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))
= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Simplify the expression:
df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.
Substitute x = π/4 into the derivative expression:
df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)
Simplify the trigonometric values:
sin(π/4) = cos(π/4) = 1/√2
tan(π/4) = 1
sec(π/4) = √2
Substituting these values:
df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)
Simplifying further:
df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)
= (5π/4√2) - (10π/4√2) - (5/√2)
= (5π - 10π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:
df = (-5π - 5√2)/(4√2) * (1/24)
= (-5π - 5√2)/(96√2)
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Select the correct answer.
30-1
2 2 2 2 2 2 2:
(2
28
26-
22-
20
18-
16-
14-
12-
10-
8-
6-
02 4 6 8 10 12 14 16 18 20 22 24 26
How many triangles in the diagram can be mapped to one another by similarity transformations?
OA 2
O B. 4
O C. 0
OD. 3
Answers
The number of triangles in the diagram that can be mapped to one another by similarity transformations include the following: D. 3.
What are the properties of similar triangles?In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent and similar triangles:
ΔABC
ΔDEF
ΔGHI
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Monica ate seven twelfths of a pizza how much of the pizza is left
Answers
Answer: 5
Step-by-step explanation: 12-7=5
Answer:
5/12 of the pizza is left.
Step-by-step explanation:
If 12/12 is the whole, and Monica ate 7 slices, all you have to do is subtract 7 from 12. 12-7=5.
Out of the 800 students enrolled in a recreational
flag-football program, 32% are seventh graders.
How many students in the program are seventh
graders?
sum1 helpppp ASAPPPPPPPP
Answers
800x.32 equals 256 seventh graders
-
The sum of 2 and x is at least - 19.
Answers
2 + x = -19 <=> x = -19 -2 = -21
11. The angle of elevation to the top of a building is found to be 18 degrees from the ground at a distance of 510 feet from the base of the building. Using this information, find the height of the building to the nearest whole number.
Answers
Answer:
Set your calculator to degree mode.
Please sketch the figure to confirm my answer.
tan(18°) = h/510
h = 510tan(18°) = 165.7 feet
Answer:
Construction Model Stats
User
Consider the time taken to completion time (in months) for the construction of a particular model of homes: 4.1 3.2 2.8 2.6 3.7 3.1 9.4 2.5 3.5 3.8 Find the mean, median mode, first quartile and third quartile. Find the outlier?
ChatGPT
To find the mean, we add up all the values and divide by the number of values:
Mean = (4.1 + 3.2 + 2.8 + 2.6 + 3.7 + 3.1 + 9.4 + 2.5 + 3.5 + 3.8) / 10
Mean = 36.7 / 10
Mean = 3.67
To find the median, we need to put the values in order:
2.5, 2.6, 2.8, 3.1, 3.2, 3.5, 3.7, 3.8, 4.1, 9.4
The middle number is the median, which is 3.35 in this case.
To find the mode, we look for the value that appears most often. In this case, there is no mode as no value appears more than once.
To find the first quartile (Q1), we need to find the value that separates the bottom 25% of the data from the top 75%. We can do this by finding the median of the lower half of the data:
2.5, 2.6, 2.8, 3.1, 3.2
The median of this lower half is 2.8, so Q1 = 2.8.
To find the third quartile (Q3), we need to find the value that separates the bottom 75% of the data from the top 25%. We can do this by finding the median of the upper half of the data:
3.7, 3.8, 4.1, 9.4
The median of this upper half is 3.95, so Q3 = 3.95.
To find the outlier, we can use the rule that any value more than 1.5 times the interquartile range (IQR) away from the nearest quartile is considered an outlier. The IQR is the difference between Q3 and Q1:
IQR = Q3 - Q1
IQR = 3.95 - 2.8
IQR = 1.15
1.5 times the IQR is 1.5 * 1.15 = 1.725.
The only value that is more than 1.725 away from either Q1 or Q3 is 9.4. Therefore, 9.4 is the outlier in this data set.
We can use trigonometry to solve this problem. Let h be the height of the building, and let d be the distance from the base of the building to the point where the angle of elevation is measured. Then we have:
tan(18 degrees) = h / d
Solving for h, we get:
h = d * tan(18 degrees)
Substituting d = 510 feet and using a calculator to evaluate the tangent of 18 degrees, we get:
h = 510 feet * tan(18 degrees)
h ≈ 157.3 feet
Rounding this to the nearest whole number, we get that the height of the building is approximately 157 feet.
What is a cross sectional view
Answers
In the graph we can see what the back of the truck looks like, what we want to know is the width of the truck inside.
Then we must subtract the edges to the full width. In red we can see the total width and in green we can see the internal width of the back of the truck
\(\begin{gathered} x=4\frac{7}{8}-\frac{1}{4}-\frac{1}{4} \\ x=4\cdot\frac{7}{8}-2(\frac{1}{4}) \\ x=4\cdot\frac{7}{8}-\frac{1}{2} \\ x=4\cdot\frac{7}{8}-\frac{4}{8} \\ x=4\cdot\frac{7-4}{8} \\ x=4\cdot\frac{3}{8} \end{gathered}\)
if 30% of a number is 150, what is 40% of that number?
Answers
30/100 * x = 150
X = 500
And then 40 percent of this is 200
Two math classes took the same quiz. The scores of 10 randomly selected students from each class are listed below.
Sample of Class A: 75, 80, 60, 90, 85, 80, 70, 90, 70, 65
Sample of Class B: 95, 90, 85, 90, 100, 75, 90, 85, 90, 85
Based on the medians of the scores for each class, what inference would you make
about the quiz scores of all the students in Class A compared to all the students in
Class B? Explain your reasoning to justify your answer.
(written answer)
Answers
Answer:
The score of class b were better than the scores of class a.
the median for class a was 77.5
the median for class b was 90
therefore class b overall scored better on the quiz than class a
Step-by-step explanation:
hope this helps :)
A. 10
B. 29
C. 8
D. 25
Answers
Answer:
10
i hope it will help you
18/12=3X/16
18•16=12•3X
3X=18•16/12
3X=288/12
3X=24
X=24/3
X=8
In order to test for the significance of a regression model involving 4 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are Select one: a. 3 and 43 b. 4 and 43 c. 4 and 42 d. 3 and 42
Answers
Answer:
c. 4 and 42
Step-by-step explanation:
Given
\(p = 4\) -- independent variables
\(n = 47\) ---- observations
Required
The numerator and denominator degrees of freedom
The denominator degrees of freedom is:
\(df =n - p - 1\)
\(df =47 - 4 - 1\)
\(df =42\)
For the numerator, we have:
\(df = p\)
\(df = 4\)
Hey can anyone help me understand how to graph this?
Answers
Answer:
Step-by-step explanation:
?
Adam leases a car with an upfront payment of $3,069 and monthly payments of $205.
Assuming there are no additional charges, what will be the total cost of a two-year
lease?
Answers
Answer:
Total cost of the lease = $7,989
Step-by-step explanation:
12 months = 1 year. So 2 year = 24 months.
Total cost of the lease = (Monthly cost × number of months) + Upfront pay
Total cost of the lease = ( $205 × 24) + $3,069
Total cost of the lease = $4,920 + $3,069
Total cost of the lease = $7,989
6. Parallelogram ABCD shown in the diagram has an area of 50 square units. Find its perimeter.
Answers
Answer:
May I see the diagram?
Step-by-step explanation:
I WILL GIVE BRAINLIST!! The perimeter of ABCD is 140. Solve for x, y, and z
* there is picture down below*
Answers
Answer:
ABCD is a kiteProperties:
AB = AD, CB = CD, AC⊥DB, AC is angle bisector of DAB and DCBFind x:
P = 140 2(2x + 7 + 4x +3) = 1406x + 10 = 706x = 60x = 10Find y:
3y - 1 and 28° are complementary3y - 1 = 90° - 28°3y - 1 = 62°3y = 63°y = 21°Find z:
4z and 58° are complementary4z = 90° - 584z = 32°z = 8°Answer:
x=10
y = 21°
z=8°
Step-by-step explanation:
we have
AB = AD, CB = CD,
AC perpendicular to DB, AC is angle bisector of DAB and DCB
Perimeter = 140
2(2x + 7 + 4x +3) = 140
6x + 10 = 70
6x = 60
x = 60/6=10
x=10
again
3y - 1 +28° =90
3y - 1 = 90° - 28°
3y - 1 = 62°
3y = 63°
y = 21°
again
4z+58°=90
4z = 90° - 58
4z = 32°
z=32/4
z=8°