Answer:
80%
Step-by-step explanation:
According to the given data, the numbers 0 through 6 represent students who sent a text yesterday while the numbers 7 through 9 represent students who did not send a text yesterday.
Based on this key, we will calculate the number of students who sent the text yesterday and the number of students who did not sent the text yesterday.
The given data is: 62072, 34570, 80983, 04292, 83150, 36330, 96268, 14077, 77985, 13511
For each group we will identify how many students sent the text and how many students did not. According to the key, a number from 0 to 6 will be counted as a student who sent the text and a number from 7 to 9 will be counted as a student who did not send the text. Students who did not sent the text are made bold in the groups below.
62072: 4 students sent the text, 1 did not
34570: 4 students sent the text, 1 did not
80983: 2 students sent the text, 3 did not
04292: 4 students sent the text, 1 did not
83150: 4 students sent the text, 1 did not
36330: All 5 students sent the text
96268: 3 students sent the text, 2 did not
14077: 3 students sent the text, 2 did not
77985: 1 student sent the text, 4 did not
13511: All 5 students sent the text
We need to find the probability that 3 or more of a group of 5 students randomly selected will send a text today.
From the given groups, the number of groups where 3 or more students sent a text = 8
This represents our number of favorable or desired outcomes.
Total number of possible outcomes is the total number of groups = 10
Since, probability is defined as the ratio of number of favorable outcomes to total number of outcomes, based on the simulated data the probability that 3 or more of a group of 5 students randomly selected will send a text today will be = [tex]\frac{8}{10}=0.80=80\%[/tex]
Thus, based on the simulated data there is 80% probability that 3 or more of a group of 5 students randomly selected will send a text today
Answer:
The answer is 80% or 4/5(;
Step-by-step explanation:
In the rho.bus, m angle 1 =4y-2. Find the value of y.
Answer:
y = 23
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other, thus
∠1 = 90° and ∠1 = 4y - 2, so equating gives
4y - 2 = 90 ( add 2 to both sides )
4y = 92 ( divide both sides by 4 )
y = 23
Which is the area of a parallelogram with a base of 13 centimeters and a height of 3 centimeters?
Step-by-step explanation:
Area of a parallelogram is the base times the height.
A = bh
A = (13 cm) (3 cm)
A = 39 cm²
Answer:
The area is 39 square cm.
Step-by-step explanation:
The area of a parallelogram is given as :
[tex]A=base\times height[/tex]
Given is:
base = 13 cm
height = 3 cm
So, area of the parallelogram becomes:
[tex]A=13\times3[/tex]
[tex]A=39[/tex] square cm.
Therefore, the area of the parallelogram is 39 square centimeters.
Given: circle k(O), m FH = (31x+3°) m GH = (33x+3°) m∠FHG = (28x−3°) Find: m∠FGH
Answer:
The measure of angle FGH is m∠FGH=48°
Step-by-step explanation:
step 1
Find the measure of arc FG in terms of x
we know that
The inscribed angle measures half that of the arc comprising
m∠FHG=(1/2)[arc FG]
substitute the given values
(28x−3°)=(1/2)[arc FG]
arc FG=(56x−6°)
step 2
Find the value of x
we know that
arc FG+arc FH+arc GH=360° -----> by complete circle
substitute the values
(56x−6°)+(31x+3°)+ (33x+3°)=360°
120x=360°
x=3°
step 3
Find the measure of angle m∠FGH
we know that
The inscribed angle measures half that of the arc comprising
m∠FGH=(1/2)[arc FH]
substitute the given values
m∠FGH=(1/2)[31x+3°]
m∠FGH=(1/2)[31(3)+3°]
m∠FGH=48°
What is the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2? Round your answer to the earnest hundredth. (THERE ARE NO ANSWER CHOICES. I HAVE TO TYPE THIS ANSWER OUT
Answer:
[tex]0.46\pi\ radians[/tex]
Step-by-step explanation:
step 1
Find the circumference
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=5\ units[/tex]
assume
[tex]\pi=3.14[/tex]
substitute
[tex]C=2(3.14)(5)=31.4\ units[/tex]
step 2
Find the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2 units
Remember that
The circumference of [tex]31.4\ units[/tex] subtends a central angle of [tex]2\pi \ radians[/tex]
so
using proportion
Let
x-----> the central angle in radians
[tex]\frac{2\pi}{31.4}=\frac{x}{7.2} \\ \\x=2\pi (7.2)/31.4\\ \\x=0.46\pi\ radians[/tex]
Simplify the expression -4x2(3x − 7).
The expression -4x^2(3x - 7) simplifies to -12x^3 + 28x^2 after distributing -4x^2 across the parentheses and performing the necessary multiplications.
The expression to be simplified is -4x^2(3x - 7).
To simplify the expression, you need to distribute the term -4x^2 across the parentheses. This involves two multiplication steps:
Multiply -4x^2 by 3x to get -12x^3.Multiply -4x^2 by -7 to get +28x^2.
After performing these multiplications, the expression simplifies to -12x^3 + 28x^2.
For the geometric series
4+20 + 100 + 500
what is the value of n?
In the given geometric series, the common ratio is 5. The value of n, which indicates the term number, is found to be 4 by setting up and solving an equation based on the general formula for the nth term in a geometric series.
Explanation:The series presented is a geometric series. In a geometric series, each term is multiplied by a common ratio to get the next term. In this case, the common ratio is 5 because each term is obtained by multiplying the previous term by 5.
In a geometric series, the general formula for the nth term is a * r^(n-1), where a is the first term and r is the common ratio. Hence, let's set up the nth term equation and solve for n.
500 = 4 * 5^(n-1)
When we solve the equation, we find that the value of n is 4.
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I need help with my math
Hello There!
The correct answer would be "B" this is because we are taking 6 and multiply it by our x column which is the "in" column and adding 1 to what we get.
Answer:
The Correct answer is (B) or option 2.
Find the area of the trapezoid.
Answer:
On the left is a 30 60 90 triangle so the height = 10 / 2 = 5 feet
Area of triangle = (5 * 8.7) / 2 = 21.75 sq feet
Area of Rectangle = 12 * 5 = 60 sq feet
TOTAL Area = 21.75 + 60 = 81.75 square feet
Step-by-step explanation:
Given the Question below which of the following shows the quadratic formula correctly applied?
ANSWER
D.
[tex]x = \frac{ - ( - 9 )\pm \sqrt{ {( - 9)}^{2} - 4(2)(4)} }{2(2)} [/tex]
EXPLANATION
The given equation is
[tex]2 {x}^{2} - 9x + 4 = 0[/tex]
When we compare this to:
[tex]a{x}^{2} + bx + c = 0[/tex]
we have a=2, b=-9, and c=4.
The quadratic formula is given by,
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
We substitute the values into the formula to get,
[tex]x = \frac{ - ( - 9 )\pm \sqrt{ {( - 9)}^{2} - 4(2)(4)} }{2(2)} [/tex]
The correct choice is D
Which of the following lists has a mode of 213?
111, 108, 213, 198, 205
212, 215, 213, 211, 220
213, 278, 108, 213, 157
210, 200, 213, 221, 221
Answer is: 213, 278 , 108, 213, 157
213 is repeated 2 times; more than any other number.
A number that appears most often is the mode.
Answer:
213, 278, 108, 213, 157
Step-by-step explanation:
The mode is the number with the highest frequency in a given list of data. Simply, it is the number with most occurrence.
Now, let us chart the frequency of each numbers in the list provided:
1........ 111, 108, 213, 198, 205
Arrange in ascending order
108, 111, 198, 205 and 213
Numbers Frequency
108 1
111 1
198 1
205 1
213 1
No modal value
2..... 212, 215, 213, 211, 220
Arranging in ascending order:
211, 212, 213, 215 and 220
Numbers Frequency
211 1
212 1
213 1
215 1
220 1
No modal value
3......213, 278, 108, 213, 157
Arranging in ascending order:
108, 157, 213 and 278
Numbers Frequency
108 1
157 1
213 2
278 1
The mode here is 213. It has a frequency of 2 compared to other numbers whose mode is 1
4........ 210, 200, 213, 221, 221
Arranging in ascending order:
200, 210, 213, 221
Numbers Frequency
200 1
210 1
213 1
221 2
The mode here is 221
-8x^2- [8x - 6x^2 - 8x)] - [7 + (-8x - 7)]
Answer:
[tex]\large\boxed{-8x^2-(8x-6x^2-8x)-[7-(-8x-7)]=-2x^2-8x-14}[/tex]
Step-by-step explanation:
[tex]-8x^2-(8x-6x^2-8x)-[7-(-8x-7)]\\\\=-8x^2-8x-(-6x^2)-(-8x)-[7-(-8x)-(-7)]\\\\=-8x^2-8x+6x^2+8x-(7+8x+7)\\\\=-8x^2-8x+6x^2+8x-7-8x-7\qquad\text{combine like terms}\\\\=(-8x^2+6x^2)+(-8x+8x-8x)+(-7-7)\\\\=-2x^2-8x-14[/tex]
the conference room of a hotel measures 40 ft by 50 ft has a 12-foot ceiling what is the area of the walls
Answer:
The area of the walls is [tex]2,160\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of the walls is equal to the perimeter of the conference room multiplied by the height of the ceiling
so
[tex]A=2[40+50](12)=2,160\ ft^{2}[/tex]
Question 2 (2 points)
Which theorem or postulate proves that AABC is similar to ADEF?
SSS Similarity Theorem
SAS Similarity Theorem
AA Similarity Postulate
None of these
Both triangles have 2 side lengths labeled and a common angle ( shown by the curved lines).
You could use the SAS Similarity theorem.
Answer:
SASStep-by-step explanation:
This was the answer that was right for me, I just did this question :) Hope this helps!
Given: is a diameter
m 1 = 100°
m BC= 30°
m AC=
60
110
200
Answer:
110
Step-by-step explanation:
2=80 and 3=30
2+3=ac=110
Answer:
Option B. 110°
Step-by-step explanation:
In the given circle m ∠1 = 100°
m BC = 30°
Then we have to find the measure of m AC
Since ∠1 = 100°
and ∠1 + ∠2 = 180° [supplementary angles]
100 + ∠2 = 180°
∠2 = 180° - 100°
∠2 = 80°
Now we know ∠3 = 15°
and m AC = ∠2 + ∠3
m AC = 80 + 30 = 110°
Therefore, Option B. 110° will be he answer.
Suppose Henry is laying on the ground looking up at the sun that appears just over the top of a tree at
an angle of elevation of 32°. He is located 20 meters away from the base of the tree. How tall is the
tree? Round to the nearest meter.
Answer:
Good day! Use trigonometry to define the formula.
Step-by-step explanation:
The height of the tree that the sun appears just over it top is 12 meters
The situation forms a right angle triangle.
The height of the tree is the opposite side of the triangle.
His distance away from the base of the tree is the adjacent side of the right angle triangle.
Therefore,
Using trigonometric ratio,
tan 32 = opposite / adjacent
tan 32 = h / 20
cross multiply
height of the tree = 20 tan 32
height of the tree = 20 × 0.6248693519
height of the tree = 12.4973870382
height of the tree ≈ 12 meters
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Which of the following expressions represent the distance between 4.35 and -2 1/5 on a number line?
l-2 1/5- 4.35l
l4.35+(-2 1/5)l
none of the above
Answer: the first answer
| 2 1/5 - 4.35 |
Step-by-step explanation:
this is the integer of the answer. not a negative of it.
Probability and statistics
Which of these is an example of a continuous random variable?
A. Number of heads when you flip a coin 5 times
B. Number you roll on a die
C. Height of 10-year-olds
D. Number of boys in a class
Answer:
d.
Step-by-step explanation
it is a random variable but is continuos as it doesn't change.
Answer:
Height of 10 years olds
Step-by-step explanation:
A p e x
what is another way to express 42+24
Final answer:
The sum 42 + 24 can be expressed as 24 + 42 using the commutative property of addition, or by decomposing into tens and units for easier mental calculation.
Explanation:
The student is asking for another way to express the sum 42 + 24. One way to approach this is by performing a common mathematical technique known as commutation (or the commutative property of addition), which states that numbers can be added in any order and the sum will remain the same.
So, another way to express 42 + 24 would be 24 + 42. You can also decompose the numbers into tens and units to simplify mental calculation: (40 + 20) + (2 + 4) = 60 + 6 = 66. This demonstrates that there are multiple ways to approach addition, making it easier to perform in my head. Thus, we affirm that mathematics indeed offers many paths to the same answer.
Which row function are inverses of each other?
Answer:
Third Option
[tex]f(x) = 4x,\ g(x)=\frac{1}{4}x[/tex]
Step-by-step explanation:
For a function f(x) it is satisfied that the range of f(x) is equal to the domain of its inverse function. In the same way the domain of f(x) is equal to the range of its inverse.
Therefore, to verify which pair of functions are inverse to each other, perform the composition of both functions and you must obtain
[tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]
For the first option we have:
[tex]f(x) = x,\ g(x)=-x[/tex]
Then
[tex]f(g(x)) = (-x) = -x[/tex] They are not inverse functions
For the second option we have:
[tex]f(x) = 2x,\ g(x)=-\frac{1}{2}x[/tex]
Then
[tex]f(g(x)) = 2(-\frac{1}{2}x) = -x[/tex] They are not inverse functions
For the third option we have:
[tex]f(x) = 4x,\ g(x)=\frac{1}{4}x[/tex]
Then
[tex]f(g(x)) = 4(\frac{1}{4}x) = x[/tex]
[tex]g(f(x)) = \frac{1}{4}(4x) = x[/tex] They are inverse functions
For the fourth option we have:
[tex]f(x) = -8x,\ g(x)=8x[/tex]
Then
[tex]f(g(x)) = -8(8x) = -64x[/tex] They are not inverse functions
Solve this quadratic equation using the quadratic formula. 2x 2 - 10x + 7 = 0
Answer:
[tex]x_1=4.158[/tex]
[tex]x_2=0.8416[/tex]
Step-by-step explanation:
For an equation of the form [tex]ax^2 +bx +c[/tex]
The quadratic formula is
[tex]\frac{-b\±\sqrt{b^2 -4ac}}{2a}[/tex]
In this case the equation is:
[tex]2x^2 - 10x + 7 = 0[/tex]
Then
[tex]a= 2\\b= -10\\c= 7[/tex]
Therefore, using the quadratic formula we have:
[tex]x=\frac{-(-10)\±\sqrt{(-10)^2 -4(2(7)}}{2(2)}[/tex]
[tex]x=\frac{5\±\sqrt{11}}{2}[/tex]
[tex]x_1=4.158[/tex]
[tex]x_2=0.8416[/tex]
ANSWER
[tex]x = \frac{ 5 }{2} - \frac{\sqrt {11} } {2} \: or \: x = \frac{ 5 }{2} + \frac{\sqrt {11} } {2} [/tex]
EXPLANATION
The given quadratic equation is:
[tex] 2{x}^{2} - 10x + 7 = 0[/tex]
Comparing this equation to
[tex] a{x}^{2} + bx + c = 0[/tex]
we have
a=2, b=-10 and c=7.
The solution is given by the quadratic formula;
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
We plug in the values to get,
[tex]x = \frac{ - - 10 \pm \sqrt{ {( - 10)}^{2} - 4(2)(7) } }{2(2)} [/tex]
This implies that
[tex]x = \frac{ 10 \pm \sqrt{ {100} - 56 } }{4} [/tex]
[tex]x = \frac{ 10 \pm \sqrt {44 } }{4} [/tex]
[tex]x = \frac{ 10 \pm 2\sqrt {11 } }{4} [/tex]
[tex]x = \frac{ 5 \pm \sqrt {11 } }{2}[/tex]
[tex]x = \frac{ 5 }{2} - \frac{\sqrt {11} } {2} \: or \: x = \frac{ 5 }{2} + \frac{\sqrt {11} } {2} [/tex]
What is the value of x?
Enter your answer as a decimal to the nearest tenth in a box.
Answer:
13.2 ft.
Step-by-step explanation:
In the given ΔABC
tanA = [tex]\frac{Height}{Base}[/tex] = [tex]\frac{BC}{AB}[/tex]
tan 31° =[tex]\frac{x}{22}[/tex]
x = 22 tan 31°
= 22 × (0.6009)
= 13.22 ≈ 13.2 ft.
what is the answer for 40÷32/4
Answer:
5
Step-by-step explanation:
40/(32/4)
40/8
5
Answer:
[tex]{\huge \boxed{5}}[/tex]
Step-by-step explanation:
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
Do divide from left to right, to find the answer.
[tex]40\div32\div4[/tex]
[tex]32\div4=8[/tex]
[tex]40\div8=5[/tex]
5 is the correct answer.
PLEASE HELP!!!!! !!!!!!!! ¡!!!!!!!!!
Answer:
D
Step-by-step explanation:
5/4 can only be greater than 1.
Answer:
Point D is located at 5/4 on the number line. Hope this helps
Write the equation of the circle in general form. Show your work.
Answer:
The equation would be:
(X+1)^2 + (y-1)^2 = 9
This is the equation of the circle in general form.
[tex]\[ x^2 + y^2 + 2x - 2y - 7 = 0 \][/tex]
or
[tex]\[ (x + 1)^2 + (y - 1)^2 = 9 \][/tex]
To write the equation of a circle in general form, you start with the standard form of the circle's equation, which is:
[tex]\[ (x - h)^2 + (y - k)^2 = r^2 \][/tex]
where \( (h, k) \) is the center of the circle and \( r \) is the radius.
From the information provided:
- The center of the circle is \( (-1, 1) \)
- The radius of the circle is \( 3 \) units
Let's substitute these values into the standard form:
[tex]\[ (x - (-1))^2 + (y - 1)^2 = 3^2 \][/tex]
[tex]\[ (x + 1)^2 + (y - 1)^2 = 9 \][/tex]
Now, to write it in general form, you'll expand the equation and combine like terms:
Step 1: Expand the squares
[tex]\[ (x + 1)^2 = x^2 + 2x(1) + 1^2 \][/tex]
[tex]\[ (y - 1)^2 = y^2 - 2y(1) + 1^2 \][/tex]
Step 2: Write the expanded form
[tex]\[ x^2 + 2x + 1 + y^2 - 2y + 1 = 9 \][/tex]
Step 3: Combine like terms
[tex]\[ x^2 + y^2 + 2x - 2y + 1 + 1 = 9 \][/tex]
Step 4: Move the constant to the right side
[tex]\[ x^2 + y^2 + 2x - 2y = 9 - 2 \][/tex]
Step 5: Final general form
[tex]\[ x^2 + y^2 + 2x - 2y - 7 = 0 \][/tex]
This is the equation of the circle in general form.
12w-27=-34+14w whats the answer
12w-27=-34+14w
Add 34 to each side:
12w + 7 = 14w
Subtract 12w from each side:
7 = 2w
Divide both sides by 2:
w = 7/2 ( depending on how you need to write the answer it could also be written as 3 1/2 or 3.5)
Answer:
w=7/2
Step-by-step explanation:
12w-27=-34+14w
12w-27+27=-34+14w+27
12w=14w-7
12w-14w=14w-7-14w
-2w=-7
w=7/2
If you need a decimal divide 7 by 2
hope this helps mark me brainliest
Select all of the situations that represent a linear relationship between x and y.
the total area, in square meters, y, of a square garden if the side length is x meters
the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
the total miles, y, traveled by a car going 62 miles per hour in x hours
Answer:
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Step-by-step explanation:
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Linear relationship always produces a straight line and are without exponential.
Lets check all the given options:
1. the total area, in square meters, y, of a square garden if the side length is x meters.
The area of a square is [tex](side)^{2}[/tex]
Here, side is 'x' and area 'y' will be [tex]x^{2}[/tex].
This is not linear.
2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
The equation forms:
[tex]y=6+0.2x[/tex]
When x = 1
[tex]y=6.2[/tex]
When x = 2
[tex]y=6+0.2(2)[/tex]
=> [tex]y=6.4[/tex]
When x = 3
[tex]y=6+0.2(3)[/tex]
=> [tex]y=6.6[/tex]
This is a linear relation.
3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
The equation forms:
[tex]y=15+8x[/tex]
When x = 1
[tex]y=15+8=23[/tex]
When x = 2
[tex]y=15+8(2)[/tex]
=> [tex]y=31[/tex]
When x = 3
[tex]y=15+8(3)[/tex]
=> [tex]y=39[/tex]
This is also linear.
4. the total miles, y, traveled by a car going 62 miles per hour in x hours
The equation forms:
[tex]y=62x[/tex]
When x = 1
[tex]y=62[/tex]
When x = 2
[tex]y=62(2)[/tex]
=> [tex]y=124[/tex]
When y = 3
[tex]y=62(3)[/tex]
=> [tex]y=186[/tex]
This is also linear in nature.
What is the least common denominator in the equation below?
1) 2
2) 9
3) 12
4) 36
Michael applied a transformation to triangle ABC to obtain triangle A’B’C the two triangles are not congruent.which of the following could be the transformation Michael applied ??
HELP !!!!!
B) dilation
this transformation changes the shape's size (making it smaller/larger) whilst the others keep the shape congruent (same shape, same size)
When two shapes are similar but not congruent, it means the transformations performed on the shapes is non-rigid. The transformation that Michael can use to obtain a non-congruent triangle for is (b) dilation.
A non-rigid transformation is such that changes the side lengths of a shape. An example is dilation.
Because the resulting triangle [tex]\triangle A'B'C'[/tex] must not be congruent, then, Michael can dilate the original [tex]\triangle ABC[/tex] to give the new triangle [tex]\triangle A'B'C'[/tex]
See attachment for an illustration of dilation
Hence, (b) is correct
Read more about transformations at:
brainly.com/question/16619654
what is the value of x?
Answer:
x = 14
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value of sin45°
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]
Hence
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7\sqrt{2} }{x}[/tex]
Multiply both sides by x
x × sin45° = 7[tex]\sqrt{2}[/tex] ( divide both sides by sin45° )
x = [tex]\frac{7\sqrt{2} }{sin45}[/tex]
= [tex]\frac{7\sqrt{2} }{\frac{\sqrt{2} }{2} }[/tex]
= 7[tex]\sqrt{2}[/tex] × [tex]\frac{2}{\sqrt{2} }[/tex] = 7 × 2 = 14
Susana bought a laptop for $500. It was marked $50 off because it was out of the box and slightlly scratched. She also got 20% student discount, which was taken off the original price. What was the original peice of the laptop? Write and solve an equation to answer the question
Answer: 500*20%=100-50=50
Step-by-step explanation:
500*20%=100-50=50