Answer:
2/26
Step-by-step explanation:
The total number of students = 26 students
Number of students that like maths = 15 students
Number of students that like English = 13 students
Number of students that does not like English or maths = 9
We have to find the number of students that likes both Maths and English.
Therefore,
Let x be the number of student that like both Maths and English subjects
15 - x + x + 13 - x + 9 = 26
-x + 37 = 26
-x = -11
x = 11
Number of student that offer english but not math
Number of students that like English but not Maths = Number of Students that like English - Number of students that like English and Maths
= 13 - 11 = 2
Therefore, probability that a student chosen at random like English but not Maths.
Probability = Number of events ÷ Number of possible outcomes
Number of events = Number of students that like English but not Maths= 2
Number of Possible outcomes = Total number of students = 26
The probability that a student chosen at random like English but not Maths.
= 2/26
What is the length of the hypotenuse triangle
Answer:
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
Step-by-step explanation:
1
2
3..
4
5
6
8
9
10
Which set of data does not contain any outliers?
113, 115, 103, 154, 109, 111, 119
141, 151, 111, 142, 149, 140, 150
99, 103, 91, 104, 109, 107, 97
131, 135, 131, 99, 138, 136, 140
Answer:
99, 103, 91, 104, 109, 107, 97
Step-by-step explanation:
The bold is the outlier
113, 115, 103, 154, 109, 111, 119
141, 151, 111, 142, 149, 140, 150
131, 135, 131, 99, 138, 136, 140
Work out, giving your answer as a mixed number:
4 2/3 + 1 3/4
Look at the attached picture
hope it will be helpful to you..
Which function is the result of vertically shrinking ƒ(x) = (x + 1)2 by a factor of 1∕6?
Question 6 options:
A) ƒ(x) = (6x + 1)2
B) ƒ(x) = (1∕6x + 1)2
C) ƒ(x) = 6(x + 1)2
D) ƒ(x) = 1∕6 (x + 1)2
Answer:
[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking
Step-by-step explanation:
Vertical stretch or shrink
[tex]y=c \cdot f(x)[/tex]
a stretch by a factor of c if c>1
a shrink by a factor of c if c<1
c is the factor
We are given that factor = 1/6 <1
So, Vertical shrink
So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]
We are given that [tex]f(x) = (x + 1)^2[/tex]
So,[tex]y=\frac{1}{6}(x+1)^2[/tex]
Option D is true
Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking
Answer:
ƒ(x) = (1∕6x + 1)^2
Step-by-step explanation:
A window in Michael's room is the shape of a trapezoid. The bases are 30 inches and 40 inches. The height of the window is 24 inches. Find the area of the window.
Answer:
The area of the window is of 840 square inches.
Step-by-step explanation:
To find the area of an trapezoid, we need to add the sum of the bases, multiply by the height, and then divide by 2.
Matematically:
[tex]A = \frac{(b_{1} + b_{2})*h}{2}[/tex]
In which [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the bases and h is the height.
In this question:
[tex]b_{1} = 30, b_{2} = 40, h = 24[/tex]
All the measures in inches, so the area is in square inches.
[tex]A = \frac{(30 + 40)*24}{2} = 840[/tex]
The area of the window is of 840 square inches.
Mr. Blackburn is buying new carpet for his family room and hallway. The floor plan is shown below.
Pls help me ASAP
Answer:
Step-by-step explanation:
3.2 times 1.5 plus 6 times4.2= 30 meters of carpet.
Answer:
He needs 23.7 of carpet
Step-by-step explanation:
multiply 4.2 and 6 which is 25.2. Then subtract 1.5 from 25.2 which is 23.7.
Which property of multiplication is shown?
9. (r:s) = (q.r).s
Answer:
I think it is associative! Not sure though bc of the q!
Step-by-step explanation:
9. What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter.
The figure is not drawn to scale.
8.8 cm
/
4.7 cm
13.1 cm
313.3 cm3
436.4 cm
541.8 cm3
681.5 cm3
Answer:
The answer is 541.8 cm³
Step-by-step explanation:
you just have to multiply the measures of each side:
(8.8)(4.7)(13.1) = 541.8
Graph the circle x2 + y² + 16x - 16y + 124 = 0
Answer:
the second option
Step-by-step explanation:
The graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
To graph the circle x² + y² + 16x - 16y + 124 = 0, we first need to rewrite it in standard form:
x² + 16x + y² - 16y + 124 = 0
(x² + 16x + 64) + (y² - 16y + 64) = -124 + 64 + 64
(x + 8)² + (y - 8)² = 4
Now we can see that the circle has center (-8, 8) and radius 2.
To graph it, we can plot the center point and then draw a circle with radius 2 around it.
Hence, the graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.
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The amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function: y = 8.50x - 5. After 2 months, the laundromat made 20 dollars, but the linear function predicted they would make 12 dollars. What is the residual value for this data?
Answer:
[tex] \hat y = 8.5*2 -5 = 12[/tex]
And the residual is defined as:
[tex] e_ i = y_i -\hat y_i [/tex]
And replacing we got:
[tex] e_i = 20-12 = 8[/tex]
Step-by-step explanation:
For this case we know that the amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function:
[tex] y = 8.50 x -5[/tex]
And fter two months we know that the laundromat made 20 dollars. And if we use the linear function we got:
[tex] \hat y = 8.5*2 -5 = 12[/tex]
And the residual is defined as:
[tex] e_ i = y_i -\hat y_i [/tex]
And replacing we got:
[tex] e_i = 20-12 = 8[/tex]
Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.
Answer:
g = j - 12
Step-by-step explanation:
Let's say Jessie installed j axles. Convert words to math:
- "12 more" = + 12
- "the number of engine blocks her friend Gus installed yesterday" = g
Put it together: g + 12. This is equal to j: j = g + 12. Solve for g:
j = g + 12
g = j - 12
Lets use the variables "a" and "g" to solve.
a = number of axles
g = number of engine blocks
If Jessie has 12 more axles than the number of engine blocks, this means we are adding (g + 12).
Now, we have the expression a = g + 12
Solve for g since we are finding the number of engine blocks Gus Installed.
a = g + 12
~Subtract 12 to both sides
a - 12 = g + 12 - 12
a - 12 = g
Therefore, the answer is [ a - 12 = g ]
Best of Luck!
15. Find the largest number which divides 70
and 125 leaving remainders 5 and 8,
respectively
Answer:
13
Step-by-step explanation:
70 - 5 = 65
125 - 8 = 117
Find the Greatest Common Divisor of 65 & 117
65 = 5 * 13
117 = 3 * 3 * 13
GCD = 13
13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively
A train travels at a constant speed of 130 miles per hour. Write an equation that can be used to determine the number of miles, m, the train will travel in h hours.
Michael’s Equation: h = 130m
Describe why Michael’s equation does not correctly model the problem.
Answer: m=130h
Step-by-step explanation:
130 miles per hour.
number of miles (m) the train will travel in (h) hours.
m=130h
can u tell what is 4/5 minus 3/10
Answer:
4/5 - 3/10 is 0.5.
Step-by-step explanation:
You want to divide top and bottom (Whatever you do to one side do to the other) So start off dividing 5 by 10 which wil give you 0.5, next you want to divide 4 by 3 which gives a repeating decimal so youll use the whole decimal (0.5) as an answer
Answer: 1/2
Explanation: To subtract unlike fractions such as 4/5 - 3/10, first find a common denominator.
The common denominator of 5 and 10 is the
least common multiple of 5 and 10 which is 10.
To get a 10 in the denominator of 4/5, we multiply both the numerator and the denominator of 4/5 by 2 to get the equivalent fraction 8/10.
Notice that 3/10 already has a 10 in the
denominator so it stays the same.
So we have 8/10 - 3/10 which is 5/10.
5/10 can be simplified to 1/2.
Given the points A(-2, 4) and B(7, -2), find the coordinates of the point P on directed line segment that partitions AB in the ratio 1:2.
The coordinates of the point P on directed line segment that partitions AB in the ratio 1:2 is (4, 0)
Given the point A (-2, 4) and B(7, -2). The coordinate of the point P on the line segment that partitions AB in the ratio 1:2, is expressed as:
[tex]P(X, Y) = (\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})[/tex]
Substitute the given coordinates where a = 1 and b = 2
[tex]P(X, Y) = (\frac{1(-2)+2(7)}{1+3}, \frac{1(4)+2(-2)}{1+2})\\P(X, Y) = (\frac{-2+14}{3}, \frac{4-4}{1+2})\\P(X, Y) = (\frac{12}{3},\frac{0}{3})\\P(X, Y) = (4, 0)\\[/tex]
Hence the coordinate of point P is (4, 0)
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The dimensions of a chocolate box are: height=x + 2 inches, length=2x+5 inches, and width=4x-1 inches. If the volume of the chocolate box is 605 cubic inches, what is the value of x?
I hope this helps you
Answer:
To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.
Step-by-step explanation:
[tex]V=605 \text{in}^3[/tex]
Then one can also state the following:
[tex]V=(x+2)(4x-1)(2x+5)[/tex]
Following up with this substitution:
[tex]605=(x+2)(4x-1)(2x+5)[/tex]
Proceeding with a FOIL procedure:
[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]
[tex]605=8x^{3}+34x^{2}+31x-10[/tex]
[tex]0=8x^{3}+34x^{2}+31x-615[/tex]
Using PRZs:
[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]
By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.
[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]
Giving the following the polynomial:
[tex]0=(x-3)(8x^2+58x+205)[/tex]
Now one can evaluate the discriminant of that quadratic:
[tex]58^2-4(8)(205)=-3196[/tex]
Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]
What is the area of sector GPH?
Answer:
Area of GPH = pi x 15^2 x 40/360 = 78.54 (yd2)
Hope this helps!
Answer:
78.5 yards²
Step-by-step explanation:
Area of a sector:
Theta/360 × pi × r²
40/360 × 3.14 × 15²
78.5 yd²
A number cube is rolled 12 times and lands on 3 four times and on 5 three times. Find the experimental probability of landing on three.
Answer:
the answer is 27
Step-by-step explanation:
because you have to multiply 3x4 and 5x3 which will give you 15 and 12 which equals 27
A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other three sides. The area A(x) in square meters of the field is a function of the length x in meters of each of the sides perpendicular to the barn wall
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
Sorry man i dont know they answer
Step-by-step explanation:
whats the product for (2z-3)^3
Answer:
8z^3-36z^2+54z-27
Step-by-step explanation:
(2z-3)^3
(2z)^3*(2z)^2*3+3*2z*3^2-3^3
8z^3-3*4z^2*3+3*2z*9-27
8z^3-36z^2+54z-27
Answer:
[tex]8z^3-36z^2+54z-27[/tex]
Step-by-step explanation:
[tex](2z-3)^3\\(2z-3)(4z^2-12z+9)\\2z(4z^2-12z+9)-3(4z^2-12z+9)\\8z^3-24z^2+18z-12z^2+36z-27\\8z^3-36z^2+54z-27[/tex]
− 5/6 x=−10/3 solve for X
Answer:
X = 4
Step-by-step explanation:
-5/6x = -10/3
x = -10/3 * -6/5
x = 60/15
x = 4
Answer:
The result for this equation is [tex]x =4[/tex] .
Step-by-step explanation:
Solve the equation for [tex]x[/tex] :
[tex]-\frac{5}{6}x =-\frac{10}{3}[/tex]
[tex]\frac{-\frac{5}{6}x }{-\frac{5}{6} } =\frac{-\frac{10}{3} }{-\frac{5}{6} }[/tex]
[tex]x = 4[/tex]
So, the answer for this equation is [tex]x =4[/tex] .
Which data display shows the number of observations? Check all that apply.
A bar graph titled Sibling Survey has number of siblings on the y-axis and number of students on the y-axis. 4 students have 0 siblings; 9 have 1; 5 have 2; 3 have 3; 2 have 4; 0 have 5; 1 has 6; 1 has 7.
A pie chart titled Sibling Survey. 1 sibling is the largest piece, then 2 siblings, then 0 siblings, followed by 3, 4, 6, and 7.
A bar graph titled Sibling Survey has number of siblings on the y-axis and number of students on the y-axis. 13 students have 0 to 1 sibling; 8 have 2 to 3; 2 have 4 to 5; 2 have 6 to 7.
A box-and-whisker plot. The number line goes from 0 to 8. The whiskers range from 0 to 7, and the box ranges from 1 to 3.
A dot plot goes from 0 to 7. 0 has 4 dots, 1 has 9 dots, 2 has 5 dots, 3 has 3 dots, 4 has 2 dots, 5 has 0 dots, 6 has 1 dot, and 7 has 1 dot.
Answer: A,C,E
Step-by-step explanation:
I took the test and got it right
Answer:
the is a, c, and e
Step-by-step explanation:
hope this helps
What is the image point of (3,-8) after a translation left 2 units and up 5 units?
Help me out!!!! What is it
Answer:
92
Step-by-step explanation:
180-88=92
Supplementary angles equal 180 degrees
Answer:
92 degrees
Step-by-step explanation:
180-88=92
how to make a percent into a decimal
Answer:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left.
Step-by-step explanation:
5.25% = .0525
Kono Dio Da
Answer:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.
Step-by-step explanation:
V2 is equal to + 2 a s derive
Simplify each rational expression. State any restrictions on the variable.
x-3/x+4 ÷ x^2-1/x
Show your work.
Answer:
x-3/x+4 ÷ x^2-1/x ; x ≠ -4, 0
Step-by-step explanation:
x-3/x+4 ÷ x^2-1/x --> x ≠ -4, 0 (because the denominators would be 0 if x = -4 or 0)-->
(x-3)/(x-4) * x/(x^2-1) -->
((x-3)(x))/((x-4)(x-1)(x+1))-->
No way to simplify it further-->
x-3/x+4 ÷ x^2-1/x
HELP ASAP!
Point A is located at (1, 4), and D is located at (-3, 6). Find the coordinates of the point that lies halfway between A and D. (5 points)
(3, 4)
(-3, 4)
(1, 5)
(-1, 5)
Answer:
I believe the answer is (-1,5)
Step-by-step explanation: because when you draw it out on a coordinate plain (-1,5) lies right in the middle of these two points.
A recipe calls for 2 3/4 cups on milk. If the recipe is tripled, how much milk is needed?
8 1/4 should be the answer
Answer:
8 1/4
Step-by-step explanation:
33/4 simplified is 8 1/4
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Answer:
D
Step-by-step explanation:
see attachment
