Answers
The frequency for the given distribution of the class interval 1.00 - 1.09 is 3, which are 1.07, 1.05 and 1.07.
What is frequency?The frequency of a repeating event is its number of instances per unit of time. In some cases, it is also referred to as temporal frequency or ordinary frequency to emphasise differences with spatial and angular frequencies, respectively. One (event) per second is equal to one hertz (Hz), which is how frequency is expressed.
The period is the reciprocal of the frequency because it is the length of time for one cycle in a repeating event. For instance, the period, T—the space between beats—of a heart beating at a frequency of 120 beats per minute (2 hertz), is equal to 0.5 seconds (60 seconds divided by 120 beats).
Learn more about frequency
https://brainly.com/question/254161
#SPJ13
Related Questions
Find ST R. 12.5 x + 5 V 7.5 S X-5 T O A 25 B. 20 O C. 10 OD. 15
Answers
Here, we want to calculate the value of ST
To do this, we need to check for similar triangles
As we can see; we have similar triangles and thus, will use the bisector theorem
We have this as;
[tex]\begin{gathered} \frac{x-5}{x+5}\text{ = }\frac{7.5}{12.5} \\ \\ 12.5(x-5)\text{ = 7.5(x+5)} \\ 12.5x\text{ - 62.5 = 7.5x + 37.5} \\ 12.5x\text{ - 7.5x = 37.5 + 62.5} \\ 5x\text{ = 100} \\ x\text{ = }\frac{100}{5} \\ \text{ x = 20} \end{gathered}[/tex]But ST is x-5
Simply substitute the value of x in the expression
We have this as; 20-5 = 15
Choose the right graph: A,B,C Or DX < -5Then write the solution interval notation
Answers
x ≤ -5
This can be written in interval notation as :
( - ∞ , -5]
The correct option is option A
Find (y + 3)(y2 + 8y – 2). (y + 3)(y2 + 8y – 2) =
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
(y + 3)(y² + 8y – 2). (y + 3)(y² + 8y – 2)
simplify
Step 02:
We must apply the algebraic rules to find the solution.
(y + 3)(y² + 8y – 2). (y + 3)(y² + 8y – 2)
Part 1:
(y + 3)(y² + 8y – 2) = y³ + 8y² - 2y + 3y² + 24y - 6
= y³ + 11y² + 22y - 6
Part 2:
(y³ + 11y² + 22y - 6) * (y³ + 11y² + 22y - 6) =
[tex]y^6+11y^5+22y^4-6y^3+11y^5+121y^4+242y^3-66y^2+22y^4+242y^3+484y^2-132y-6y^3-66y^2-132y+36[/tex][tex]y^6+22y^5+165y^4+472y^3+352y^2-264y\text{ }+36[/tex]That is the full solution.
The 2017 Toyota Prius is EPA-rated at 54 mi/gal (miles per gallon) for city driving and 50 mi/gal for highway driving. The 2017 Toyota Yaris is rated at 30 mi/gal city and 36 mi/gal highway. How many gallons of gas, to the nearest tenth, would each vehicle consume for:(A) 300 mi of city driving plus 100 mi of highway driving.(B) 100 mi of city driving plus 300 mi of highway driving.
Answers
A) For 300 mi of city driving plus 100 mi of highway driving:
Toyota Prius will need
[tex]\frac{300\text{ mi}}{54\text{ mi/gal}}+\frac{100\text{ mi}}{50\text{ mi/gal}}=5.6\text{gal}+2\text{gal}=7.6\text{gal}[/tex]Toyota Yaris will need
[tex]\frac{300mi}{30\text{ mi/gal}}+\frac{100mi}{36\text{ mi/gal}}=10gal+2.8gal=12.8gal[/tex]B) For 100 mi of city driving plus 300 mi of highway driving:
Toyota Prius will need
[tex]\frac{100mi}{54\text{ mi/gal}}+\frac{300mi}{50\text{ mi/gal}}=1.9gal+6gal=7.9gal[/tex]Toyota Yaris will need
[tex]\frac{100mi}{30\text{ mi/gal}}+\frac{300mi}{36\text{ mi/gal}}=3.3gal+8.3gal=11.6\text{gal}[/tex]2
9
m
8
4
3
5 6
7
If l is parallel m and r parallel s explain how you know Angele 1 and Angle 6 are supplementary
Answers
Angle 4 and angle 6 are supplementary to each other.
Given : the two line r and s are parallel to each other and there are two transversals
And thus angle 6 and angle 4 are equal because angles corresponding angles are equal. This is because of a theorem which states that angles on the same side of the two parallel lines are equal .
And this further implies that the angle adjacent to angle 4 and angle form will form an angle whose sum would be equal to 180 degree. That is they will form a supplementary angle .
And this angle and angle 1 are equal because these two angles are corresponding angles and as mentioned above because of that theorem they are equal.
Thus from these two above mentioned arguments it is clear that angle 4 and angle 6 are supplementary angles .
To know more about supplementary angles visit:
https://brainly.com/question/13045673
#SPJ13
angle ABC is a circumscribed about point H with points of tangency D,E, F what is the perimeter of a b and c? but i know AB =7 and ac+ad+dc=6+4=10 but i dont know BC and on
Answers
Answer
Perimeter = 22 units
Explanation
To answer this, we need to note that two tangents to a circle that start from the same point usually have the same lengths.
So,
AD = AE = 6
CD = CF = 4
Since,
AB = 7 and AB = AE + EB
AE = 6
So,
AB = AE + EB
7 = 6 + EB
EB = 7 - 6
EB = 1
FB = EB = 1
So,
AC = AD + DC = 6 + 4 = 10
AB = 7
CB = CF + FB = 4 + 1 = 5
So, the perimeter of the triangle is given as the sum of all its exterior sides
Perimeter = AB + AC + CB
Perimeter = 7 + 10 + 5 = 22 units
Hope this Helps!!!
At a sale, a suit is being sold for 66% of the regular price. The sale price is $429. What is the regular price?
Answers
Let x be the regular price, then we can set the following equation:
[tex]x\cdot0.66=429[/tex]Solving for x we get:
[tex]\begin{gathered} x=\frac{429}{0.66}=650 \\ x=650 \end{gathered}[/tex]f(x) = 2-4
Find f(2)
Answers
Answer:
-8
Step-by-step explanation:
So first off, x is 2-4. So that's the default. It would be -2. If you multiply -2 by 2, it is -4.
Larry needs to change a light bulb in the celling. Larry leans a 16 foot ladder against the wall with its base 5 feet away from the wall. Which is the closest to the distance of the height of the wall to the top of the ladder?
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
ladder = 16 feet
base = 5 feet
height = ?
Step 02:
Pythagoras Theorem Formula
c ² = a² + b²
16 = c
5 = b
height = a
16² = a ² + 5²
16² - 5² = a²
[tex]\sqrt[]{231\text{ }}\text{ = a}[/tex]15.2 = a
The answer is:
The distance to the top of the ladder is 15.2 feet
d. Henrich has $195,000 of taxable income, which includes $50,000 of long-term capital gain that is taxed at preferential rates.
Assume his modified AGI is $210,000.
Income tax
Net investment income tax
Total tax liability
$
Amount
0.00
Answers
Net Income tax payable $41,516.75 (f + g)
As per the data are given in the above question it is given that,
Henrich has $195,000 of taxable income,
i.e. Taxable Income (a) $195,000
Which includes $50,000 of long-term capital gain that is taxed at preferential rates.
i.e. Preferentially taxed income (b) $50,000
Assume his modified AGI is $210,000.
Therefore Income taxed at ordinary rates ( c) $145,000
Tax on c above (d) $33,636.75 = $18,558.75 + [($145,000 - $91,150) x 28%]
Tax on b above ( e) $7,500.00 = $50,000 x 15%
Total Income tax (f) $41,136.75 (d + e)
Investment Income, if any (g) $380 Only $10,000 is taxed at 3.8%, only ($210,000 - $200,000) i.e. $10,000
Net Income tax payable $41,516.75 (f + g)
To know more about taxable income:
https://brainly.com/question/15215359
#SPJ1
The question is in the photo. Complete the fourth one.
Answers
Question number 4
Given:
One side of a right-angled triangle 6 and the hypotenuse of the triangle 10
Required:
Another side of the triangle
Explanation:
For the right-angled triangle, Pythagorean theorem is applied which is
[tex]a^2+b^2=c^2[/tex]where
a=side of the right triangle
b=side of the right triangle
c=hypotenuse
so hypotenuse =
[tex]\sqrt{(10^2-6^2)}=8[/tex]Final Answer:
8
Please help me with my geometry
Answers
Answer:
m∠E = 52°
Step-by-step explanation:
You seem to want a step-by-step explanation of the logic to find the measure of angle E.
There are a number of approaches you might take to this. Here is one.
[tex]\begin{array}{ccc}\text{Step}&\text{Angle}&\text{Reason}\\1&m\angle C=64^\circ&\text{Given}\\2&m\angle ADE=64^\circ&\textsf{Corresponding angles}\\3&m\angle DAB=64^\circ&\textsf{Alternate interior angles}\\4& m\angle DAE=64^\circ& \textsf{Angle bisector de}\textsf{finition}\\5& m\angle E=52^\circ&\textsf{Sum of angles in a triangle}\end{array}[/tex]
The measure of angle E is 52°.
If the point (3,-2) is on the graph of y = f(x), which point is on the graph of y = f-¹(x)
Answers
[tex]f^{ - 1} (x)[/tex]
IS THE INVERSE OF f(x) .TO OBTAIN THE INVERSE OF A GRAPH WE SWAP POINTS. MEANING WHAT WAS THE X COORDINATE BECOMES THE Y COORDINATE AND WHAT WAS THE Y COORDINATE BECOME THE X COORDINATE.
DOING WHAT I EXPLAINED (-2,3)IS THE POINT OF THE INVERSE GRAPH .
GOODLUCK
d what is 38 divided by 7? Round to the nearest hundredth if necessary
Answers
The triangle is rotated 180° about the origin. Give the coordinates of the points in the image:B-5-4-3-210N45-2-3-4-5ACBCC'(Blank 1:Blank 2:Blank 3:Blank 4:Blank 5:Blank 6:
Answers
Generally when a coordinate (x , y) is rotated 180 degrees about the origin, it becomes (-x , -y).
Now, the coordinates of the vertices of the triangle will follow a similar transformation when the triangle is rotated 180 degrees about the origin, as follows:
[tex]A(0,4)\text{ will become : A1 (0, -4)}[/tex][tex]B(2,3)\text{ will become : B1(-2, -3)}[/tex][tex]C(-1,-1)\text{ will become : C1(1, 1)}[/tex]See the figure below which shows the transformation
Last week, a share stock gained a total of 1.64 points. Express this gain as a mixed number in simplest form.
Answers
Answer: [tex]1\frac{16}{25}[/tex]
Step-by-step explanation:
1.64 is 1 64/100. Now to get the simplest form find a number you can divide both the numerator and the denominator by, like 4. Now you have 1 16/25. 16 and 25 do not have a common number you can divide both by so it is the simplest form.
Which of the following is a true stateme 3/4 < 4/6; 5/6 > 10/12; 8/16 = 1/4; 11/15 < 4/5
Answers
Answer:
11/15 < 4/5
Step-by-step explanation:
this is because:
3/4 < 4/6 is the same as 9/12 < 8/12 which is incorrect
5/6 > 10/12 is the same as 10/12 > 10/12 which is incorrect
8/16 = 1/4 is the same as 8/16 = 4/16 which is incorrect
therefore the only possible answer is 11/15 < 4/15 because:
it is the same as 11/15 < 12/15 which is CORRECT
Determine the check digit (d) for the UPC bar code number 2-91273-05213-d. Show your work?
Answers
the given UPC bar code digit is
2- 91273 - 05213 - d
for determining d we will follow the rule
first, we sum up all the odd place numbers
like
2 + 1 + 7 + 0 +2 + 3 = 15
then multiply with 3
15 * 3 = 45
then
we sum up all the even place numbers,
9 + 2 + 9 +5 + 1 = 26
now we will add these two results
26 + 45 = 71
now we can see that 71 is 9 less than the next multiple of 10 that is 80 in this case'
80 - 71 = 9
so the answer is
d = 9 .
The difference between two numbers is 22. The sum of twice the smaller number and 3 times the greater number is 246.
Answers
Given:
The difference between two numbers is 22.
The sum of twice the smaller number and 3 times the greater number is 246.
Required:
To find the two numbers.
Explanation:
Let the two numbers be x and y.
Let y be the smaller number.
The difference between two numbers is 22.
[tex]x-y=22[/tex]The sum of twice the smaller number and 3 times the greater number is 246.
[tex]2y+3x=246[/tex]Now
[tex]\begin{gathered} 2y+3(22+y)=246 \\ 2y+66+3y=246 \\ 5y=246-66 \\ 5y=180 \\ y=\frac{180}{5} \\ y=36 \end{gathered}[/tex]Now x is,
[tex]\begin{gathered} x-36=22 \\ x=22+36 \\ x=58 \end{gathered}[/tex]Final Answer:
The two numbers are 58 and 36.
Please answer urgently.
I will give brainliest to best answer.
All answers given will be appreciated.
3x( 4x +7 ) + 3( 8 + 2 ) = 11( 2x + 3 ) + 11
?
Answers
Answer:
[tex]x=\dfrac{1 +\sqrt{673}}{24}, \quad x=\dfrac{1 -\sqrt{673}}{24}[/tex]
Step-by-step explanation:
Given equation:
[tex]3x( 4x +7 ) + 3( 8 + 2 ) = 11( 2x + 3 ) + 11[/tex]
Distribute the parentheses:
[tex]\implies 12x^2+21x+24+6=22x+33+11[/tex]
[tex]\implies 12x^2+21x+30=22x+44[/tex]
Subtract 22x from both sides:
[tex]\implies 12x^2+21x+30-22x=22x+44-22x[/tex]
[tex]\implies 12x^2-x+30=44[/tex]
Subtract 44 from both sides:
[tex]\implies 12x^2-x+30-44=44-44[/tex]
[tex]\implies 12x^2-x-14=0[/tex]
Use the quadratic formula to solve for x.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]\implies a=12, \quad b=-1, \quad c=-14[/tex]
Therefore:
[tex]\implies x=\dfrac{-(-1) \pm \sqrt{(-1)^2-4(12)(-14)}}{2(12)}[/tex]
[tex]\implies x=\dfrac{1 \pm \sqrt{1+673}}{24}[/tex]
[tex]\implies x=\dfrac{1 \pm \sqrt{673}}{24}[/tex]
Geometry help please
Question 13 to 15
Answers
The angle relationship of the diagram is as follows:
13. ∠AGH and ∠DHG are alternate interior angles
14. ∠FGB and ∠CHE are alternate exterior angles.
15. ∠CHG and ∠DHE are vertically opposite angles.
How to find angles?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles, linear angles etc.
The parallel lines are line AB and CD.
The transversal line is FE.
Therefore,
∠AGH is congruent to ∠DHG because they are alternate interior angles.
Alternate interior angles are congruent.
∠FGB is congruent to ∠CHE because they are alternate exterior angles.
Alternate exterior angles are congruent.
∠CHG is congruent to ∠DHE because they are vertically opposite angles.
Vertically opposite angles are congruent.
learn more on angles here: https://brainly.com/question/18166236
#SPJ1
Use the distributive property to simplify the expression:
1/2{-6b+18}
PLEASE HELP ASAP I'LL GIVE 64 POINTS AND THE BRAINIEST IF YOU CAN HELP ME!!!!!!!!!!!!
Answers
set M below consist of the positive even integer less than or equal to 20. M = 2,4,6,8,10,12,14,16,18,20 . if a number from set M is selected at a 4random, what is the probability that the number selected will be A factor of 12
Answers
the set consist totally 10 numbers,p(s)=numbers divided by 12/total number
[tex]\text{total number of factors os 12 is 4}[/tex][tex]so,\frac{4}{20}=0.2[/tex]Fill in the boxes with numbers and operations to reflect the equation of the circle after the transformations
Answers
Given the equation of the circle:
[tex]x^2+4x+y^2-12y=-24[/tex]We will complete the squares for x and y to write the equation of the circle as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]Where (h,k) is the coordinates of the circle and r is the radius of the circle
so, the equation will be:
[tex]\begin{gathered} (x^2+4x+4)+(y^2-12y+36)=-24+4+36 \\ \\ (x+2)^2+(y-6)^2=16 \\ \\ (x+2)^2+(y-6)^2=4^2 \end{gathered}[/tex]So, the radius of the circle = 4
And the center of the circle = ( -2, 6 )
Now, we will make the transformation for the circle:
Shift 1 unit up, the center will be = ( -2, 7 )
shift 2 units right, the center will be = ( 0, 7 )
Reflection across the x-axis, the center will be = ( 0, -7)
So, the equation of the circle after transformation will be:
[tex](x-0)^2+(y+7)^2=4^2[/tex]So, the answer will be:
[tex](x-0)^2+(y+7)^2=16[/tex]4) How many solutions does the system of linearequations have?2x + 3y = 6-8x - 12y = -20image
Answers
Answer
Explanation
To know how many solutions this system of linear equations have, we willl need to solve it.
2x + 3y = 6
-8x - 12y = -20
Making x the subject of formula in the first equation
2x + 3y = 6
2x = -3y + 6
Divide through by 2
(2x/2) = (-3y/2) + (6/2)
x = (-3y/2) + 3
Substituting this for x in the second equation
-8x - 12y = -20
x = (-3y/2) + 3
-8 (-3
The tree diagram below shows the possible outcomes. Use the diagram to answer the questions
Answers
Outcomes are the possible pairings of crust and pizza that Heather can choose. Based on the tree diagram, we see that there are 12 possible pairings starting from (thin, onions) to (pan mushrooms). Hence, there are 12 outcomes.
Based on the list of outcomes, there is only 1 outcome in which both the regular crust and sausage are chosen.
Lastly, for pepperoni OR mushroom being chosen, let's take a look and count.
There are 6 outcomes in which pepperoni or mushrooms were chosen.
What percent of 27 is 12?
Answers
Solution
For this case we can do the following procedure:
[tex]\frac{12}{27}\cdot100=44.4[/tex]then the answer is: 44.4%
for a circle with a diameter of 4 centimeters, what is its exact area?
Answers
Solution
The area of a circle with diameter d is
[tex]\begin{gathered} A=\pi(\frac{d}{2})^2 \\ \\ A=\pi(\frac{4}{2})^2 \\ \\ A=4\pi \end{gathered}[/tex]Therefore, the exact area is 4π centimeters square.
Given the graph of y= f (x) find the value f (1)
Answers
SOLUTION:
The graph presented is a quadratic graph with the expression f(x)
It forms a n-curve indicating a negative quadratic curve.
the vertical axis is the y-axis or f(x)-axis AND
the horizontal axis is the x-axis
f(1)
We are required to find by tracing the value of y when x=1
Final answer:
The value of y when x=1 is -3
f(1) OR y= -3
Five more than the product of a number and 8 equals 3 Use y for the unknown variable
Answers
Answer
y = -1/4
Step-by-step explanation:
Let the unknown variable be y
5 more than the product of a number and 8 equals to 3 can be expressed mathematically as
Recall, that the unknown variable is y
5 + (8 * y) = 3
Open the parenthesis
5 + 8y = 3
Substract 5 from both sides
5 - 5 + 8y = 3 - 5
8y = -2
y = -2/8
y = -1/4
