First quartile of the distribution is, Q = 39.
i.e 75% of students have scored more than 39.
So, total number of students scored more than 39 are :
[tex]n=\dfrac{416\times 75}{100}\\\\n=312[/tex]
Therefore, number of students scored higher than 39 are 312.
Hence, this is the required solution.
PLEASE SOMEBODY HELP ME I'm not good at fractions!!
Answer:
-$120
Step-by-step explanation:
30 times (-2/3 times 6)
-2/3 times 6 = -4
30 times -4 = -120
HELP ME PLS ASAP What are the vertex and x-intercepts of the graph of the function given below?
y = x2 - 2x - 48
O A. Vertex: (1, -49); x-intercepts: (8,0) and (-6,0)
B. Vertex: (0,0); x-intercepts: (-4,0) and (6,0)
C. Vertex: (1,-40); x-intercepts: (6,0) and (7,0)
O D. Vertex: (-1, -21); x-intercepts: (6,0) and (4,0)
SUBMIT
Answer:
I know this isnt helpful now but the answer is A
Step-by-step explanation:
Just solving for the intercepts:
y = x^2 - 2x - 48
Factor
(x + 6) (x - 8)
equal both problems to zero
x + 6 = 0
x - 8 = 0
solve
x = 8, and -6
If A,B, and N are collinear and AB+BN= AN,which point is between the other two points
Given:
A,B, and N are collinear and AB+BN= AN.
To find:
The point which is between the other two points.
Solution:
If A,B, and N are collinear, then these three points must be lie a single straight line.
AB + BN = AN
It means, the segment AN is the addition of two small segments AB and BN.
Using segment addition property, it is possible it and only if point B lies between A and N.
Therefore, the point B lies between A and N.
56:22
In each circle below, a 50° angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF
related?
A <
50
BF
50°
2 cm
cm
They are the same because the central angle measure is the same.
The arc lengths are proportional: CD = 2 EF
Answer:
C. The arc lengths are proportional: Arc C D = 4 arc E F.
Step-by-step explanation:
The question is incomplete. Here is the complete question.
In each circle below, a 50° angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related?
Circle A and B are shown. Line segments D A and C A are radii with lengths of 8 centimeters. Angle D A C is 50 degrees. Line segments F B and E B are radii with lengths of 2 centimeters. Angle F B E is 50 degrees.
They are the same because the central angle measure is the same.
The arc lengths are proportional: Arc C D = 2 arc E F.
The arc lengths are proportional: Arc C D = 4 arc E F.
The arc lengths are proportional: Arc C D = 6 arc E F.
Using the formula for calculating the length of an arc to find the length of both arcs.
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
For the minor arc CD:
[tex]\theta = 50^0\\[/tex]
r = 8cm
L = 50/360 * 2π(8)
L = 5/36 * 16π
L = 80π/36
Length of CD = 20π/9 cm²
For the minor arc EF:
[tex]\theta = 50^0\\[/tex]
r = 2cm
L = 50/360 * 2π(2)
L = 5/36 * 4π
L = 20π/36
Length of arc EF = 5π/9 cm²
Find the relationship between both lengths:
From CD = 20π/9 cm²
CD = 4 * (5π/9 cm²)
since length of arc EF = 5π/9 cm²
Then arc CD = 4* arc EF
This shows that the length of arc CD is four times that of arc EF
Can You please answer -7b -3 = 3b+ 5 ? Is there one answer to it?
Answer:
b = -4/5
Step-by-step explanation:
Alright, let's look at this.
-7b - 3 = 3b + 5.
To isolate the variable, we can subtract 3b from both sides to get:
-10b - 3 = 5
Now, we can add 3 to both sides!
-10b = 5 + 3 = 8
So, our resulting equation is
-10b = 8
To isolate the variable by itself (without the pesky -10 bothering us), we can divide the equation by -10 :)
b = -8/10, simplified to -4/5
I don't believe there is more than one solution to this!
Answer:
[tex]b= -\frac{4}{5}[/tex]
Step-by-step explanation:
[tex]-7b - 3 = 3b + 5[/tex]
[tex]-10b = 8[/tex]
[tex]\frac{-10b}{-10} = \frac{8}{-10}[/tex]
[tex]b = -\frac{4}{5}[/tex]
Whats 1+1 its 10 points HURRY THIA IS THE FUN ACCOUNT
solve h+p=4(k-6) for k
Answer: k= [tex]\frac{1}{4}[/tex] h + [tex]\frac{1}{4}[/tex] p + 6
Step-by-step explanation: its hard to explain
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
The graph shows a function that models the value V (in millions of dollars) of
stock portfolio as a function of time t (in months) over an 18-month period.
Identify any extreme value of the function
Answer:
Option (B)
Step-by-step explanation:
A function that models the value V of the stock portfolio as function of t is given by the graph.
Each grid on the y - axis measures = [tex]\frac{3-2}{4}[/tex] = 0.25
Each grid on the x - axis measures = 1 unit
Local maximum from the graph = (3, 2.5)
Global minimum = (13, 0.75)
Global maximum = (18, 3)
Local minimum = (13, 0.75)
Here local and global minimum of the function will be same as (13, 0.75).
Therefore, Option (A) will be the answer.
A parents age and child’s age is a 5:2 ratio how old is the child if the parent is 50
Answer:
20
Step-by-step explanation:
parent: child
5 :2
The parent is 50
50/5 = 10
Multiply each term by 10
5:10 : 2*10
50 : 20
The child is 20
what is 4 ( x+2 )=10
Answer:
x= 1/2
Step-by-step explanation:
We can use Distributive property to solve this.
4(x+2)=10
4x+8=10
-8 -8
4x= 2
4x/4= 2/4
x= 1/2
Hope this is right!
Answer: x = 2
Step-by-step explanation:
4(x+2)=10
4x + 8 =10
10 - 8 = 2
4x / 2 = 2
2 = x
hope this helps
plz mark brainleist
22 + 54x = -20 + 60x and -5x - 16 = 8x - 3
Answer:
1.) 42/55 x = the quotient. 2.) x = -1
Step-by-step explanation:
Answer:
x = - 7/9 and x = - 1
Step-by-step explanation:
Equation 1:
Step 1:
22 + 54x = - 20 Equation
Step 2:
54x = - 42 Subtract 22 on both sides
Step 3:
- 42 ÷ 54 Divide
Answer:
x = - 42/54 or - 7/9
Equation 2:
Step 1:
- 5x - 16 = 8x - 3 Equation
Step 2:
- 16 = 13x - 3 Add 5x on both sides
Step 3:
- 13 = 13x Add 3 on both sides
Step 4:
- 13 ÷ 13 Divide
Answer:
x = - 1
Hope This Helps :)
Can someone please help me understand how to solve this? I can't seem to wrap my head around this concept so if someone could possibly explain it to me or refer me to a great resource I'd be very thankful. Thank you!
Step-by-step explanation:
Hi!
So, this is peicewise function. That means that x values have to be in a certain range in order to have a function. Look at this piecewise function, for example:
[tex]\left \{ {{7x+2 } \atop {x=2}} \right.[/tex] [tex]{ {{x=2} \atop {x=13}} \right.[/tex]
When x is 2, you use the equation 7x+2.
When x is 13, you use the equation x=2.
Now we can use this graph to figure out the definition by looking at the points. An open circle means that a point can't reach that point (less than or greater than). A closed circle means that a point can touch there( less than or equal to and greater than or equal to).
So here, we have a closed circle at (-1, 1) and an open circle at (-1,2).
So, for all points that are less than or equal to -1, there will be a specific equation.
For all points greater than -1, there will be a different equation.
{this is based on x-values, btw}
So let's use these points to figure out the equations.
Check 2x + 2.
2(-1) + 2
-2 + 2 =0
This doesn't work.
Check 2x + 4
2 (-1) +4
-2 + 4 =2
This doesn't work.
Check x-2
-1-2 = -3
This doesn't work.
Check x + 2
-1 + 2 = 1
This works. Therefore, we can say that D is the answer.
Identify the property a(b+c)=ab+ac
Answer:
Distributive property.
Step-by-step explanation:
a(b+c)=
ab+ac
“a” is distributed into “b” and “c”.
or
“a” is shared with both “b” and “c”.
launchpad.classlin...
What is the remainder when you divide
(2x3 – 5x – 7) by (x + 2) ?
Answer :i think its -13
Step-by-step explanation:
Answer:
The remaider is (- 13)Step-by-step explanation:
If we divide W(x) by (x-a) then the remainder is W(a)
W(x) = 2x³ - 5x - 7
x - a = x + 2 ⇒ a = -2
W(-2) = 2(-2)^3 - 5(-2) - 7 = 2(-8) + 10 - 7 = -16 + 3 = -13
How can you tell if the solution is one value,all real numbers,or no solutions
Solve the system of equations by transforming a matrix representing the system of equation into reduced row echelon form.
x+3y−3z=−27
2x+y+z=−2
x−y+3z=17
What is the solution to the system of equations?
Drag a choice into each box to correctly complete the table.
Answer:
x = -3
y = -2
z = 6
or
(-3, -2, 6)
Step-by-step explanation:
So first, lets construct our matrix:
[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\2&1&1&-2\\1&-1&3&17\end{array}\right][/tex]
Now lets get it into reduced row echelon form. R₂ ⇒ -2R₁ + R₂
[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&-5&7&52\\1&-1&3&17\end{array}\right][/tex]
R₃ ⇒ -R₁ + R₃
[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&-5&7&52\\0&-4&6&44\end{array}\right][/tex]
R₂ ⇒ -1/5R₂
[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&-\frac{7}{5}&-\frac{52}{5}\\0&-4&6&44\end{array}\right][/tex]
R₃ ⇒ 4R₂ + R₃
[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&-\frac{7}{5}&-\frac{52}{5}\\0&0&\frac{2}{5}&\frac{12}{5}\end{array}\right][/tex]
R₃ ⇒ 5/2R₃
[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&-\frac{7}{5}&-\frac{52}{5}\\0&0&1&6\end{array}\right][/tex]
R₂ ⇒ 7/5R₃ + R₂
[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&0&-2\\0&0&1&6\end{array}\right][/tex]
R₁ ⇒ 3R₃ + R₁
[tex]\left[\begin{array}{ccc|c}1&3&0&-9\\0&1&0&-2\\0&0&1&6\end{array}\right][/tex]
R₁ ⇒ -3R₂ + R₁
[tex]\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&6\end{array}\right][/tex]
And now we have our matrix in reduced row echelon form. The solution to the system of equations would be:
x = -3
y = -2
z = 6
(-3, -2, 6)
I hope you find my answer and explanation to be helpful. Happy studying.
The equation is reduced in an echelon form given below. Then the value of x, y, and z will be −3, −2, and 6.
[tex]\begin{bmatrix} 1 & 3 & - 3 & | & -27\\ 2 & 1 & 1 & | & -2 \\ 1 & -1& 3 & | & 17\\\end{bmatrix}[/tex]
What is the echelon form?When a matrix in a row image is transformed, Gaussian eradication has been applied to the rows, and when it is in a column image is transformed, Gaussian extinction has been applied to the sections. In other words, if a matrix's transposition is in row normalized form, the matrix is in pillar echelon form.
Let the equations be a₁x + b₁y + c₁z = d₁, a₂x + b₂y + c₂z = d₂, a₃x + b₃y + c₃z = d₃.
Then the echelon form is given as,
[tex]\begin{bmatrix}a_1 & b_1 & c_1 & | & d_1\\ a_2 & b_2 & c_2 & | & d_2\\ a_3 & b_3 & c_3 & | & d_3\\\end{bmatrix}[/tex]
The equations are given below.
x + 3y − 3z = − 27
2x + y + z = − 2
x − y + 3z = 17
Then the solution to the system of equations will be done using a calculator. Then the value of x, y, and z will be
x = -3, y = -2, and z = 6
The equation is reduced in an echelon form and will be
[tex]\begin{bmatrix} 1 & 3 & - 3 & | & -27\\ 2 & 1 & 1 & | & -2 \\ 1 & -1& 3 & | & 17\\\end{bmatrix}[/tex]
More about the echelon form link is given below.
https://brainly.com/question/14693506
#SPJ2
Simplify 2x+3y2– 2(x-y2)
Answer:
5y2
Step-by-step explanation:
Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.)
у
81
f(x)
6
4
U
2
х
.4
-2
2
4
6
-2-
domain
range
A store sells 4 cans of soup for $6. How much would it cost you to buy 3 cans of soup? It would cost
It would cost me 4.5$ to buy 3 cans of soup as per the proportionality.
What is proportionality?The ratios between the two variables should be considered in order to determine whether a relationship is proportional. The relationship is proportional if the ratio remains constant. The relationship is not proportional if the ratio shifts.
given, A store sells 4 cans of soup for $6.
Since,
price of 4 canes of soup = 6
Price of 1 cane of soup = 6/4
thus,
Price of 3 canes of soup = 3/2 *3
Price of 3 canes of soup = 4.5$
therefore, According to proportionality, it would cost me 4.5 dollars to purchase 3 cans of soup.
Learn more about proportionality here:
https://brainly.com/question/29126727
#SPJ2
Mickey's savings account. $975 on deposit. 5.5% annual interest rate. Time is 3 months. Find the Interest
Answer:
$13.41
Step-by-step explanation:
1 year = 5.5%
1/4 year = 5.5/4%
1/4 year = 1.375%
975 * 1.01375 (because percents become fractions by dividing by 100) = 988.41
988.41 - 975 (because you're looking for the interest not what's his final amount) = 13.41
What is the correct Unit Rate for 54 pints of juice in 3 containers? *
Answer:
0.0555 containers
Step-by-step explanation:
We need to find the unit rate for 54 pints of juice in 3 containers. It means we need to find quantity of juice in 1 container.
54 pints = 3 containers
1 pint = [tex]\dfrac{1}{18}\ \text{containers}[/tex]
or
1 pint = 0.0555 containers
So, unit rate is 0.0555 containers.
Sally drives a school bus and earns $10.50 per hour. Last week she drove 24 hours.
What is her straight-time pay?
Answer is $
(4 + 5i)(4 − 5i). answer please
Answer:
41
Step-by-step explanation:
(4 + 5i)(4 − 5i)
We know that (a-b) (a+b) = a^2 -b^2
4^2 - ( 5i)^2
16 -25i^2
We know that i^2 = -1
16 -25(-1)
16+25
41
Answer:
41
Step-by-step explanation:
edg 2020
The perimeter of a triangle is between 10in and 15in inclusively. If two of the sides of the triangle are 3.7 in and 5.2in, find the range of possible measurements of the third side
Given :
The perimeter of a triangle is between 10 inch and 15 inch inclusively.
To Find :
If two of the sides of the triangle are 3.7 in and 5.2 in, find the range of possible measurements of the third side.
Solution :
Let, third side is x.
So, by given constraint of perimeter :
10 ≤ ( x + 3.7 + 5.2 ) ≤ 15
10 ≤ x + 8.9 ≤ 15
1.1 ≤ x ≤ 6.1
Therefore, the range of possible measurements of the third side is in between 1.1 and 6.1 inclusively.
Hence, this is the required solution.
Which of the following shows the correct order of steps needed to simplify 5 + 2(35 – 1) ÷ 4?
A. Add. Multiply. Simplify the power. Subtract. Divide.
B. Add. Simplify the power. Multiply. Divide. Subtract.
C. Simplify the power. Subtract. Multiply. Divide. Add.
D. Simplify the power. Subtract. Multiply. Add. Divide.
Answer:
c
Step-by-step explanation:
Write an
equation that represents the line.
Use exact numbers?
Answer:
[tex]\text{point-slope form}\\\huge\boxed{y+3=\dfrac{7}{5}(x+7)}[/tex]
[tex]\text{slope-intercept form}\\\huge\boxed{y=\dfrac{7}{5}x+\dfrac{34}{5}}[/tex]
[tex]\text{standard form}\\\huge\boxed{7x-5y=-34}[/tex]
[tex]\text{general form}\\\huge\boxed{7x-5y+34=0}[/tex]
Step-by-step explanation:
The slope-point form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have two points (-7, -3) and (-2, 4).
Substitute:
[tex]m=\dfrac{4-(-3)}{-2-(-7)}=\dfrac{4+3}{-2+7}=\dfrac{7}{5}\\\\y-(-3)=\dfrac{7}{5}(x-(-7))\\\\y+3=\dfrac{7}{5}(x+7)[/tex]
Convert to the slope-intercept form (y = mx + b):
[tex]y+3=\dfrac{7}{5}(x+7)\qquad|\text{use the distributive property}\\\\y+3=\dfrac{7}{5}x+\dfrac{49}{5}\qquad|\text{subtract}\ 3=\dfrac{15}{5}\ \text{from both sides}\\\\y=\dfrac{7}{5}x+\dfrac{34}{5}[/tex]
Convert to the standard form (Ax + By = C):
[tex]y=\dfrac{7}{5}x+\dfrac{34}{5}\qquad|\text{multiply both sides by 5}\\\\5y=7x+34\qquad\text{subtract}\ 7x\ \text{from both sides}\\\\-7x+5y=34\qquad|\text{change the signs}\\\\7x-5y=-34[/tex]
Convert to the general form (Ax + By + C = 0):
[tex]7x-5y=-34\qquad|\text{add 34 to both sides}\\\\7x-5y+34=0[/tex]
I need help with this one
Answer:
I think 9 inches.
Step-by-step explanation:
What is the negative reciprocal of 7/3?
Answer:
-3/7
Step-by-step explanation:
Negative reciprocal means to put a negative and sign and change the numerator and denominator to be in opposite places.
7/3 -> -3/7
Best of Luck!
Answer:
-3/7
This is the reciprocal. Then we just add a negative sign in front!
find the slope of the line through each pair of points (-19,20) (20,7)
Answer:
m (slope) = 13/-39 (13 over -39)
Step-by-step explanation:
To find the slope by using two points, we do rise over run (y over x)
y2-y1 (the numbers 1 and two don't matter, it's just to be sure that each point's numbers line up, for example, that -19 and 20 line up, and that 20 and 7 line up)
x2-x1
20-7 = 13
-19-20 = -39
Then, simplify
13/-39 cannot be simplified, so that is your answer.
4.
Find the rate of simple interest when:
Interest
Time
Principal
4.5times of the principal
13.5years
P
Step-by-step explanation:
the above pic is the ans of this question
