Answer:
The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.
Step-by-step explanation:
Step 1: Order from least to greatest
51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98
Step 2: Determine the median of the lower half of the data
There are 12 numbers which means that there is going to be 6 numbers on both sides of the data. So using the first 6 numbers we will be able to determine the median of the lower half of the data.
51, 56, 62, 72, 79, 81
Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.
(62 + 72) / 2 = 67
Step 3: Determine the median of the upper half of the data
So using the first 6 numbers we will be able to determine the median of the upper half of the data.
82, 85, 89, 95, 97, 98
Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.
(89 + 95) / 2 = 92
Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.
Increase a monthly salary of $2925 by 7.2%.
Answer:
Step-by-step explanation:
2925+ 7.2% of 2925
2925+0.072*2925
2925+210.60
=$3135.60(increased salary)
Answer:
$3135.6
Step-by-step explanation:
PLEASE HELP!!
BRAINLIEST TO CORRECT ANSWER!!!
The principal of Sycamore Middle School wants to know whether students are in favor of a new dress code.
She conducts a survey.
Which of these methods will produce the most representative sample of the student body at Sycamore Middle School?
O A. The principal surveys all eighth-grade students.
O B. The principal surveys the students in detention.
OC. The principal randomly selects homeroom classes and surveys each student in the chosen classes.
OD. The principal surveys all the students in the math club.
Answer:
C. The principal randomly selects homeroom classes and surveys each student in the chosen classes.
Step-by-step explanation:
Middle school is 6-8th. Surveying only the eighth-grade students won't give a representative sample of the whole school only the eighth-graders. Option A is incorrect.
Surveying only the students in detention represents a very small amount of students compared to the school, therefore it is not a representative sample. Option B is incorrect.
Yet again, the students in the math club is a small amount of students compared to the school. It does not represent the entire, or majority of the population. Option D is incorrect.
Picking students from homeroom classes and surveying each will give a wider variation of opinions from each grade and therefore a representative sample. Option C is the correct answer.
Answer:
C
Step-by-step explanation:
I just did the quiz and it was correct
What is the least common denominator of 1/6 and 11/12?
Answer:
12
Step-by-step explanation:
1/6 = 2/12 11/12 = 11/12
Answer:
12
Step-by-step explanation:
6 =3×2
12=3×2×2
Least common denominator = 3×2×2 = 12
please helpppppppppppppp
Answer:
it is d because a budget is when u set an amount to spend. there for you be safe in a sertint amount.
Last week, Harry ran 5 laps around the lake. Sophia ran 1 5/6 times as many laps around the lake as Harry did. How many laps around the lake did Sophia run?
What is the equation for the graph please help me ill give 20 pt
Answer:
y = 9x
Step-by-step explanation:
Answer:
4.5x OR 9/2x
Step-by-step explanation:
We know this is a lineasr equation isnce it is a straight line and goes by a slope factor.
We know that for every change in 9 on the y axis, there is a change of two on the x- axis. This slope is now 9/2
The equation can be 9/2x OR 4.5x depending on whether your teacher will accept decimal answers or fractional answers.
10 points
e following numbers are placed on a number line. Which of the following best
sents point A?
B.D
to
-2
-1
7
H. 2.
7
G. -1-
1
№.
r
Answer:
G
Step-by-step explanation:
really look at the position of point A on the number line.
it is a little bit to the right of -2, but clearly to the left of -1 and especially 0.
so, A must be negative.
that eliminates already H and J.
remember, that e.g. -2 < -1.
so, seemingly "adding" something to the description of a value of a negative number makes that negative number even smaller.
-1 7/8 is for example NOT the same as -1 + 7/8.
it is the same as
-1 - 7/8 = -1 7/8
so, -1 7/8 is indeed smaller than -1.
but it is still larger than -2 (e.g -1 8/8 = -2).
therefore, only G makes sense.
y = −2x + 6 and y = 4x solution
Answer:
x=1 y=4
(1,4)
Step-by-step explanation:
what is this for 2nd grade math. 247+?=673
Answer:
426
Step-by-step explanation:
Subtract 247 from 673 to get 426
Answer:
426
Step-by-step explanation:
673
-247
_____
426
Find the value of x.
Answer:
51°
Step-by-step explanation:
to find x, note that the sum of angles in a triangle is equal to 180°
x+ 63° +66° = 180° ( sum of angles in a triangle.)
x+129° = 180°
x= 180-129 = 51°
x= 51°
hope this helps. please rate and mark brainliest!!!!so, i' m doing my homework and i came across this question and i was confused...so can u please help me out, the person that gives me the MOST DESCRIBED answer will get Brainliest!! <3
Answer:
20 22 28 32 33 65 159
median =32
mean= 51.285714285
help me please???????
Answer:
60.9 mi
Step-by-step explanation:
Circumference of circle:
diameter = 19.4 mi
Circumference of circle = πd
= 3.14 * 19.4
= 60.9 mi
Find the area of the triangle.
Answer:
10 Square feet or square meter
Step-by-step explanation:
Area of a triangle = bh / 2
b represents the base which is 4
h represents the height which is 5
bh / 2 = 4 × 5 / 2
Area = 20 / 2
Area = 10
:. The Area of the triangle is 10 square feet or square meter
The pyramid has a base that is a right triangle with side lengths 3 feet , 4 feef , 5 feet. It’s height is 6 feet. What
Answer:
12 ft ^3
Step-by-step explanation:
I assume you are looking ofr the volume of this pyramid
V = 1/3 base area * height
base area = area of 3-4-5 triangle = 1/2 * 3 * 4 = 6 ft^2
so Volume is :
1/3 * 6 * 6 = 12 ft^3
Frank lost 3 pounds per week for 19 consecutive weeks then 5 pounds in the 20th week which represent his total change in weight
Answer:
5 pounds
Step-by-step explanation:
Carry on learningThe Graph below shows the height h in feet of a ball t Second after it is thrown. The passes the ball is represented by the equation h=-t^2+8t please use the graph to answer the question what time is the ball increasing in height I will give BRAINLIEST
Me pueden ayudar con el procedimiento?
24x+7=13
Answer: x = 1/4
Step-by-step explanation:
Lo primero que harías es restar 7 de ambos lados de la ecuación debido a tu propiedad de igualdad, que te permite hacer esto.
24x+7=13
-7 -7
24x=6
Ahora lo que harás es dividir ambos lados entre 24 para que puedas aislar x.
24x=6
/24 /24
x=6/24
Finalmente, puedes simplificar la fracción dividiendo el numerador y el denominador por 6.
x=6/6 / 24/6
x=1/4
How do you write 170% as a decimal?
Answer:
it is 1.7 hope it helps
What is the volume of a sphere with a diameter of 7.9 ft
Answer:
V ≈ 258 ft³
Step-by-step explanation:
I given the diameter d= 7.9 ft so the radius is r = d/2 = 7.9/2 ft
Volume of a sphere is
V = (4/3) π·r³ = (4/3) · π · (7.9/2)³ = 258.1546167 ft³
What is the quotient of the following division problem? x 1 startlongdivisionsymbol x squared 3 x 2 endlongdivisionsymbol. minus x squared x to get a remainder of 0 ) 2 x 2. minus 2 x 2 to get a remainder of 0 and a quotient of x 2. x 2 x 1 x2 3x 2 0
The quotient of the provided division in which binomial is divided by a quadratic equation is x+2.
What is the quotient?Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,
[tex]q=\dfrac{a}{b}[/tex]
Here, (a, b) are the real numbers.
The given division expression is,
[tex]\dfrac{x^2+3x+2}{x+1}[/tex]
Let the quotient of this division problem is f(x). Thus,
[tex]f(x)=\dfrac{x^2+3x+2}{x+1}[/tex]
Factor the numerator expression as,
[tex]f(x)=\dfrac{x^2+2x+x+2}{x+1}\\f(x)=\dfrac{x(x+2)+1(x+2)}{x+1}\\f(x)=\dfrac{(x+2)(x+1)}{x+1}\\f(x)={x+2}[/tex]
Thus, the quotient of the provided division in which binomial is divided by a quadratic equation is x+2.
Learn more about the quotient here;
https://brainly.com/question/673545
Answer:
its A. on edge 2023
Step-by-step explanation:
Will a 12-inch ruler fit in a box that is a right rectangular prism with a width of
5 inches, a length of 10 inches, and a height of 3 inches? Explain your answer
Answer:
The Ruler won't fit.
Step-by-step explanation:
Remark
The way this is traditional done is to find the hypotenuse of 5 and 10 inches and use this result with the height. If that does not work, then other combinations can be used.
Hypotenuse (10 and 5 )
Formula
c^2 = a^2 + b^2
Givens
a = 10
b = 5
Solution
c^2 = 10^2 + 5^2 Expand
c^2 = 100 + 25 Add
c^2 = 125
Now use the Pythagorean Theorem a second time.
z^2 = x^2 + y^2
x^2 = 125
y^2 = 3^2
z^2 = 125 + 9
z^2 = 134
This is not large enough. A ruler is 12 inches long which would mean that z^2 should come to 144. I don't think any other combination is going to do much better.
In fact looking at it more closely all combinations will give z^2 = 134.
pls answer this bc i need help with this
Answer:
A third degree or cubic polynomial with three terms. The constant term is -1/7, the leading term is -10x³ and the leading coefficient is -10
Which equation represents the slope-intercept form of the line below!
5-
y-intercept = (0.-5)
slope = 1
O A. y=5x- *
O B. y=+*+5
O C. y=-x-5
O D. y = 5x + 1
y-b=m(x-a) solve for m
Answer:
[tex]m=\frac{y-b}{x-a}[/tex]
Step-by-step explanation:
Considering no values were supplied, the most we can do here is rearrange the equation to get m on its own.
In the equation y - b = m(x - a), since (x - a) is multiplicative of m, we can divide this value to remove it from m's side. This leaves us with:
[tex]m=\frac{y-b}{x-a}[/tex]
Answer:
Step-by-step explanation:
To solve y-b=m(x-a) for m, divide both sides of this equation by (x - a):
y - b
m = ---------------
(x - a)
A cone has a height of 17 centimeters. What is its volume? Use n 3.14
Answer:
444.83
Step-by-step explanation:
volume of a cone is given by the formula pi × r^2 × h × 1/3
by implementing the formula we get the answer which is 444.83
make sure to ask if you need any further guidance :)
Need help ASAP! Please
Answer:
1
Step-by-step explanation:
What is the volume of the cylinder shown below?Use 3.14 as an approximation for π.
A. 314 in³
B. 1,256 in³
C. 5,024 in³
D. 5,625 in³
Find the area of the circle ( top)
Area = Pi x r^2 = 3.14 x 8^2 = 3.14 x 64 = 200.96 square inches.
Volume = area of top x height
Volume = 200.96 x 25 = 5,024 in^3
Answer: C. 5,024 in^3
Answer:
C
Step-by-step explanation:
Kelsey has $100 in an account. The intrest rate is %11 compounded annually. To the nearest cent, how much will she have in 2 years
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$100\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=100\left(1+\frac{0.11}{1}\right)^{1\cdot 2}\implies A=100(1.11)^2\implies A=123.21[/tex]
Please help kind of urgent i only have 100 points so please help thanks:)
Answer:
√3
Step-by-step explanation:
To recall trigonometric ratios, there is a special acronym known as sohcahtoa which stands for
sin(x)=opposite/ hypotenusecos(x)=adjacent/hypotenuse tan(x)=opposite /hypotenuseFinding the angle [tex]\theta[/tex]
We are given that,
[tex] \displaystyle \sin( \theta) = \frac{ \sqrt{3} }{2} [/tex]
To find the angle [tex]\theta[/tex] , take inverse of sin of both sides,
[tex] \displaystyle { \sin}^{ - 1}( \sin( \theta) )= { \sin}^{ - 1} \bigg(\frac{ \sqrt{3} }{2} \bigg )[/tex]
with the help of unit circle,we acquire:
[tex] \displaystyle \boxed{\theta= {60}^{ \circ} }[/tex]
Finding [tex]\tan\theta[/tex]
simply plug in the value of theta:
[tex] \tan( {60}^{ \circ} ) [/tex]
using unit circle,we get:
[tex] \implies \tan( {60}^{ \circ} ) = \boxed{\sqrt{3} }[/tex]
and we're done!
Let's solve
[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{\sqrt{3}}{2}[/tex]
[tex]\\ \rm\Rrightarrow \theta=sin^{-1}\left(\dfrac{\sqrt{3}}{2}\right)[/tex]
[tex]\\ \rm\Rrightarrow \theta=\dfrac{\pi}{3}[/tex]
Now
[tex]\\ \rm\Rrightarrow tan\theta=tan\dfrac{\pi}{3}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=\sqrt{3}[/tex]
Tanelle is cutting out a paper banner as shown in the image. The entire piece of paper is 8 feet long and she is cutting a circle with a 1 foot diameter out of each of the 4 sections. (The circles are hemispheres, AKA half circles)
About how much paper will she need? Use 3.14 for pi and show your work.
Answer: 4.71
Step-by-step explanation: