Answer:
It is not possible for the student to receive an A grade in the class.
It is possible for the student to receive a B grade in the class.
Step-by-step explanation:
We are given that in the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3 exams that are worth 100 points each.
A student has received homework scores of 7, 8, 7, 5, and 8, and the first two exam scores are 81 and 80.
Firstly, we will calculate how many points have been scored by the student.
Number of possible points = 350
The points scored by the student in homework = 7 + 8 + 7 + 5 + 8 = 35 points.
The scores of the student on the two exams = 81 + 80 = 161 points
So, the total points scored by the students = 35 + 161 = 196 points.
As it is given in the question that if the grade percentage is 0.9 or higher then the student will get an A, i.e;
If the total possible points are 350 points; [tex]90\% \text{ of } 350 = \frac{90}{100}\times 350 = 315 \text{ points}[/tex]
This means that the student must have to score 315 points to get an A grade.
Till the second exam, the total points scored by the students are 196 points. If the student scored full 100 marks in the third exam, then the total points scored by the student will be = 196 + 100 = 296 points.
Since 296 < 315, this means that it is not possible for the student to receive an A in the class.
Also, it is given in the question that if the grade percentage is between 0.8 and 0.9 the student will get a B, i.e, the student must obtain a minimum of 80% to get B grade.
If the total possible points are 350 points; [tex]80\% \text{ of } 350 = \frac{80}{100}\times 350 = 280 \text{ points}[/tex]
This means that the student must have to score a minimum of 280 points to get a B grade.
Till the second exam, the total points scored by the students are 196 points. If the student scored full 100 marks in the third exam, then the total points scored by the student will be = 196 + 100 = 296 points.
Since 296 > 280, this means that it is possible for the student to receive a B grade in the class.
The critical value t* gets larger as the confidence level increases. True or false?
Answer:
We can find the critical value [tex]t_{\alpha/2}[/tex]
And for this case if the confidence increase the critical value increase so then this statement is True
Step-by-step explanation:
For a confidence level given c, we can find the significance level like this:
[tex] \alpha=1 -c[/tex]
And with the degrees of freedom given by:
[tex] df=n-1[/tex]
We can find the critical value [tex]t_{\alpha/2}[/tex]
And for this case if the confidence increase the critical value increase so then this statement is True
Yesterday in Juneau, Alaska it was -20 degrees and in San Diego, California it was 75 degrees. What was the difference in temperature between these two cities?
Select one:
a. -20 degrees
b. 55 degrees
c. 75 degrees
d. 95 degrees
Answer: d) 95 degrees
Step-by-step explanation:
To find this solution, simply subtract -20 from 75, to get 95. In reality, you would take the absolute value of one temperature - another, but all you need to remember is to always subtract the smaller temperature from the larger.
Answer:
95 degrees(answer d)
Step-by-step explanation:
when you have a negative temp. and a positive temp., you add the two numbers to find the difference.
that means, 20+75=95 degrees(take away the negative sign when adding only.)
That means the difference between the two temperatures is 95 degrees.
Compute the determinants using a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion down the second column.
[ 0 4 1
5 −3 0
2 3 1 ]
Answer:
The determinant is 1Step-by-step explanation:
Given the 3* 3 matrices [tex]\left[\begin{array}{ccc}0&4&1\\5&-3&0\\2&3&1\end{array}\right][/tex], to compute the determinant using the first row means using the row values [0 4 1 ] to compute the determinant. Note that the signs on the values on the first row are +0, -4 and +1
Calculating the determinant;
[tex]= +0\left[\begin{array}{cc}-3&0\\3&1\\\end{array}\right] -4\left[\begin{array}{cc}5&0\\2&1\\\end{array}\right] +1\left[\begin{array}{cc}5&-3\\2&3\\\end{array}\right] \\\\= 0 - 4[5(1)-2(0)] +1[5(3)-2(-3)]\\= 0 -4[5-0]+1[15+6]\\= 0-20+21\\= 1[/tex]
The determinant is 1 using the first row as co-factor
Similarly, using the second column [tex]\left[\begin{array}{c}4\\-3\\3\end{array}\right][/tex] as the cofactor, the determinant will be expressed as shown;
Note that the signs on the values are -4, +(-3) and -3.
Calculating the determinant;
[tex]= -4\left[\begin{array}{cc}5&0\\2&1\\\end{array}\right] -3\left[\begin{array}{cc}0&1\\2&1\\\end{array}\right] -3\left[\begin{array}{cc}0&1\\5&0\\\end{array}\right] \\\\= -4[5(1)-2(0)] - 3[0(1)-2(1)] -3[(0)-5(1)]\\= -4[5-0] -3[0-2]-3[0-5]\\= -20+6+15\\= -20+21\\= 1[/tex]
The determinant is also 1 using the second column as co factor.
It can be concluded that the same value of the determinant will be arrived at no matter the cofactor we choose to use.
How do I complete this identity? sin(2θ) sin(4θ) cos(2θ) cos(4θ) = ?
Answer:
sin(20) sin(40) cos(40) cos(20) [sin(20)*cos(20)]*[sin(40)*cos(40)][sin(2*20)/2]*[sin(2*40)/2][sin(40)*sin(80)]/2When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line? A.) Picture 1 B.) Picture 2 C.) Picture 3 D.) Picture 4
Option A.) Picture 1 is correct
in the problem inequality y ≤ 2x − 4 is given
Right graph for boundary line has been asked.
Inequality can be defined as the relation of the equation contains the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
For the boundary line
y ≤ 2x − 4 this equation transform into
y= 2x-4
above equation is the boundary condition for the given inequality
so in picture one the the dotted line shows the information of equation
y= 2x-4.
Thus, the boundary condition for inequality y ≤ 2x − 4 is in picture 1
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linear equation: y = 5x + 6
quadratic equation: y = x^2 +7x - 18
Show all work to solving your system of equations algebraically.
Answer:
(4, 26)
(-6, -24)
Step-by-step explanation:
Step 1: Substitution
5x + 6 = x² + 7x - 18
Step 2: Move everything to one side
0 = x² + 2x - 24
Step 3: Factor
(x - 4)(x + 6) = 0
Step 4: Find roots
x = 4, -6
Step 5: Plug in x to find y
y = 5(4) + 6
y = 20 + 6
y = 26
y = 5(-6) + 6
y = -30 + 6
y = -24
What is the discrimination of this function !! Please help
Answer:
Option C is correct.
The discriminant of the function is negative since the function doesn't have real roots as evident from the graph.
Step-by-step explanation:
The discriminant of a quadratic equation is the part of the quadratic formula underneath the square root symbol, that is, (b² - 4ac).
The discriminant tells us whether there are two solutions, one solution, or no solutions.
- When the discriminant is positive or greater than zero, that is, (b² - 4ac) > 0, the quadratic function has 2 real distinct roots.
- When the discriminant is equal to zero, that is, (b² - 4ac) = 0, the quadratic function has 1 repeated root.
- When the discriminant is negative or lesser than zero, that is, (b² - 4ac) < 0, the quadratic function has no real roots.
For this question, the graph of the quadratic function shows that it doesn't have real roots (this is evident because the graph doesn't cross the x-axis), hence, the duscriminant of this quadratic function has to bee negative.
Hope this Helps!!!
Mount Whitney is 3072 m tall convert the height to kilometers
Answer:
3.072km
Step-by-step explanation:
[tex]3072m*(\frac{1km}{1000m} )=3.072km[/tex]
Solve these equations using elimination not substitution? 8x + 3y = 13 3x + 2y = 11 15 Points!
Answer:
x = -1, y = 7
Step-by-step explanation:
8x + 3y = 13
3x + 2y = 11
Multiply the first equation by -2 and the second equation by 3. Then add them.
-16x - 6y = -26
(+) 9x + 6y = 33
--------------------------
-7x = 7
x = -1
Now substitute x = -1 in the first original equation and solve for y.
8x + 3y = 13
8(-1) + 3y = 13
-8 + 3y = 13
3y = 21
y = 7
Answer: x = -1, y = 7
In which function is x = 2 mapped to 32?
f (x) = Negative 3 x squared minus 4
g (x) = 4 (x + 3) squared minus 68
h (x) = 3 x
j (x) = 2x minus 62
Answer:
B
Step-by-step explanation:
Took the test edge2021
The function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
A function which is at x = 2 mapped to 32
The above statement means that at x = 2
The value of the function will be 32
The given functions:
f(x) = -3x² - 4
Plug x = 2
f(2) = -3(2)² - 4
f(2) = -16
g(x) = 4(x + 3)² - 68
Plug x =2
g(2) = 4(2 + 3)² - 68
g(2) = 100 - 68
g(2) = 32
Thus, the function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.
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The force of the gravitational attraction between two bodies is directly proportional to the mass of each body and inversely proportional to the square of distance between them. If the distance between two bodies is tripled and the mass of each is doubled, what happens to the force of gravitational attraction between them?
Answer:
The force of gravitation between them will four - ninth the original force between them.Step-by-step explanation:
According to law of gravitation, the gravitational force between two bodies of masses M and m is expressed as F = GMm/d² ... 1 where;
G is the gravitational constant
d is the distance between the masses
If the distance between two bodies is tripled and the mass of each is doubled, then the gravitational force will become:
F2 = G(2M)(2m)/(3d)²
F1 = 4GMm/9d² ... 2
Taking the ratio of the original gravitational force to the new one we have;
F1/F = 4GMm/9d²/GMm/d²
F1/F = 4GMm/9d² * d²/GMm
F1/F = 4/9
F1 = 4/9F
This shows that if the distance between two bodies is tripled and the mass of each is doubled, the force of gravitation between them will four - ninth the original force
Will give brainliest, someone please help
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▹ Answer
Area = 9
▹ Step-by-Step Explanation
A = b * h ÷ 2
A = 9 * 2 ÷ 2
A = 9
Hope this helps!
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Brainliest is greatly appreciated!
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Find the slope of the line passing through the points (2.5) and (2. -8).
Answer:
Slope of the line using points
(2.5) and (2. -8) is
[tex] \frac{ - 8 - 5}{2 - 2} \\ - \frac{13}{0} \\ = 0[/tex]
Hope this helps you
Answer:
Undefined
Step-by-step explanation:
Well to find the slope with 2 point we’ll need to use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].
So with the 2 ordered pairs we have we need to plug them in,
-8 - 5 / 2-2 = -13/0.
So the slope is undefined, because the slope is vertical.
Maurice shot 2 under par, or -2, on each of the first 4 holes of golf. What is his score with respect to par after the fourth hole?
Answer: -8
Step-by-step explanation: If he scored -2 four times then his score would be -8 (-2×4).
Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.) State the random variable. b.) Write the probability distribution for the number of heads. c.) Draw a histogram for the number of heads. d.) Find the mean number of heads. e.) Find the variance for the number of heads. f.) Find the standard deviation for the number of heads. g.) Find the probability of having two or more number of heads. h.) Is it unusual to flip two heads
Answer:
The answer to each point is below
Step-by-step explanation:
We will solve point by point:
a) We have to:
Random variable X = number of heads
Let, H => heads, T => tails
b) We have that the combinations are
TTT, TTH, THT, THH, HTT, HTH, HHT, HHH
Number of Heads (X) 0 1 2 3
Probability (P) 1/8 3/8 3/8 1/8
c) attached the histogram.
d) We have the following:
Mean = E (X) = 0 * 1/8 + 1 * 3/8 + 2 * 3/8 + 3 * 1/8
m = 1.5
The mean is 1.5
e) E (X ^ 2) = 0 * 1/8 + 12 * 3/8 + 22 * 3/8 + 32 * 1/8 = 3
Variance = E (X ^ 2) - (E (X)) ^ 2
Var = 3 - (1.5) ^ 2
Var = 0.75
The variance is 0.75
f) standard deviation = (Var) ^ (1/2) = (0.75) ^ (1/2) = 0.866
sd = 0.866
the standard deviation is 0.866
g) P (2 or more heads) = 3/8 + 1/8 = 0.5
The probability is 50%
h) P (two heads) = 3/8 = 0.375
It is likely that out of 8 times of 3 flips, 3 times we can observe two heads out of 3, therefore it is not unusual.
How do you find the surface area of a triangle? A square?
Answer:
The area formula of a triangle is (base * height) / 2 and the area of a square is s² where s is the length of one side.
Question 21 of 39
Which of the following situations may be modeled by the equation y = 2x+20
?
A. Carlos has written 18 pages of his article. He plans to write an
additional 2 pages per day
B. Don has already sold 22 vehicles. He plans to sell 2 vehicles per
week
C. Martin has saved $2. He plans to save $20 per month
D. Eleanor has collected 20 action figures. She plans to collect 2
additional figures per month
SI
The correct answer is D. Eleanor has collected 20 action figures. She plans to collect 2 additional figures per month
Explanation:
The purpose of using an equation is to express mathematically a situation or relation. This involves understanding accurately how factors or numbers relate. According to this, the equation y = 2x + 20 fits with the situation described in D because this equation can be used to calculate the number of books Eleanor has as y is the total; 2 is the number of new books per month; x the number of months; and 20 books Eleanor already has.
Also, the number of months is multiplied by 2, and this is added to 20 which equals the total number of books. For example, after three months the total of books would be 26 considering y (total of books) = 2 x 3 (months) + 20 ⇒ 26 books.
Write -1/19,7/4,-4/7 in order from least to greatest
Answer:
-1/19,-4/7,7/4
Step-by-step explanation:
first, you divide -1 by 19, which should give you -.0526
then, you divide -4 by 7, which should give you -.5714
after that, you divide 7 by 4, which should give you 1.75
the lesser numbers would be negative, since they are to the left of 0 and positives are to the right.
these steps should give you your answer, which is located above.
A committee is to consist of two members. If there are five men and six women
available to serve on the committee, how many different committees can be
formed?
Answer: The number of different committees can be formed = 55.
Step-by-step explanation:
Given: Number of members in a committee = 2
There are five men and six women available to serve on the committee.
That means, Total persons available to serve on the committee = 5+6=11
Number of combinations of choosing r things from n things is given by:-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the number of ways to choose 2 members out of 11 = [tex]^{11}C_2=\dfrac{11!}{2!9!}[/tex]
[tex]=\dfrac{11\times10}{2}=55[/tex]
Hence, the number of different committees can be formed = 55
I Honestly dont understand all of these that have to do with right angles, tangent lines, and secant lines. can i please get some help.
Answer:
110°
Step-by-step explanation:
m arc DB=140°
m arc BCD=360-140=220°
∠ A=1/2×220=110° (∵angle at the circumference=1/2 angle at the center.)
WILL MARK BRAINIEST IF CORRECT!!!! Select the correct answer. This table represents a function. Is this statement true or false?
Answer:
true
Step-by-step explanation:
doesn't over lap each other
Sandy evaluated the expression below. (negative 2) cubed (6 minus 3) minus 5 (2 + 3) = (negative 2) cubed (3) minus 5 (5) = 8 (3) minus 25 = 24 minus 25 = negative 1 What was Sandy’s error?
Answer:
should be - 8
Step-by-step explanation:
-2*-2=4 4*-2=-8
Answer:
Sandy should have evaluated (negative 2) cubed as –8.
Step-by-step explanation:
Got it right on the test
What is the value of the 7 in the number 0.873?
Write your answer as a fraction.
Answer: 7/100
Step-by-step explanation:
In this question, ignore the 8 and the 3 and focus on the 7. Isolate it and you will get 0.07. 0.07 in fraction from is 7/100.
The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Given the decimal,
0.873
8 → Tenth place (Fraction value 8/10)
7 → Hundredth place(Fraction value 7/100)
3 → Thousandth place (Fraction value 3/1000)
Since 7 is at hundredth place thus it will be 7/100.
Hence "The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07".
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246,000 in scientific notation
Answer:
246000 in scientific notation is 2.46e5, or 2.46 x 10^5
Step-by-step explanation:
246000, move the decimal place 5 places to the left.
2.4x10^5
Answer:
2.46 × 10⁵
Step-by-step explanation:
The decimal point is after the first non-zero digit.
⇒ 2.46
Multiply the number with base 10 and an exponent which will equal to 246,000.
⇒ 10⁵
can someone help me with this please??! it would mean a lot
Answer:
Its 2.4, glad to help ya out!
Step-by-step explanation:
Remember v/pi times r squared
How is copying line segment similar to copying an angle?
Answer:
In terms of construction, copying a line segment and an angle requires a fixed compass width as a basic tool
Step-by-step explanation:
The basic similarity is in both constructions, or copies is that we are going to use the same compass width in each case as the basic tool to copy a line segment or an angle.
hope this helpes
be sure to give brainliest
Answer:
An angle is form by two rays and the two line segment share a common points and we utilize a straightedge for drawing the comparative figure on paper.
At that point, utilize the straightedge and the compass used to copy this type of figure precisely. To duplicate the given figure, we should copy line as well as angle.
The line of segment are basically formed by adjusting the compass and makes it equal to the line segment length and then copy each point in the figure.
PLSS I NEED HELP I NEED HELP SOMEONE SAVE ME
Answer:
sorry but are you dyin why do u need help why do you need someone to save you just say i need answers to this equation pls
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y = x squared + x + 6 a. (0.5, -5.75) c. (-0.5, 6) b. (-0.5, 5.75) d. (0.5, 5.75) Please select the best answer from the choices provided A B C D
Answer:
B. (-0.5, 5.75)
Step-by-step explanation:
Use a graphing calc and analyze the graph for the minimum value (vertex).
what is equation of the line passing through the points (2/5, 19/20) and ( 1/3, 11/12 ) in slope intercept form
Step-by-step explanation:
A(2/5, 19/20) and B (1/3, 11/12)
AB = [tex]\sqrt{(x_{A} - x_{B} )^2 + (y_{A} - y_{B}) ^2][/tex] = [tex]\sqrt{{(2/5- 1/3 )^2 + (19/20 - 11/12) ^2[/tex] = [tex]\sqrt{5} /30[/tex]
Find the expression for h (x)
Answer:
We have this original function given:
[tex] g(x) =-x^2 +5[/tex]
And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:
[tex] h(x)= g(x) -4[/tex]
And replacing we got:
[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]
Step-by-step explanation:
We have this original function given:
[tex] g(x) =-x^2 +5[/tex]
And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:
[tex] h(x)= g(x) -4[/tex]
And replacing we got:
[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]