Answers:
a) Mean = 20.4b) New mean = 20==================================================
Explanation:
To get the mean, we add up the scores and divide by 10 (because there are 10 scores at first)
28+13+4+12+32+22+13+22+26+32 = 204
204/10 = 20.4
The mean is 20.4
------------
For part b), we redo those steps shown above, but tack 16 onto the list. So we'll add up all the values (including that 16 at the end) and divide by 11 this time.
28+13+4+12+32+22+13+22+26+32+16 = 220
220/11 = 20
The new mean is 20.
The new mean is slightly smaller than the old mean. Notice how 16 is smaller than 20.4, so this new score pulls down the mean just a little bit.
If a window is to be 6 feet wide, how high should it be, to the nearest tenth of a foot, to be a golden rectangle
Answer:
3.7 feet
Step-by-step explanation:
A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618
If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft
= 3.7 (to the nearest tenth)
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
What are equivalent expressions please explain
Answer:
Equivalent expressions are expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify.
Step-by-step explanation:
Find the measure of the missing angle using the exterior angle sum theorm.
Step-by-step explanation:
the correct answer for the question is 85
We know that, in a triangle,
Exterior angle = Sum of interior opposite angles
So,
missing angle = 45° + 40°
=> missing angle = 85°
The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
Answer:
Step-by-step explanation:
5²+8²=25+64=89
12²=144
5²+8²≠12²
so it is not aright angled triangle.
Answer:
Not a right triangle
Step-by-step explanation:
A triangle is right if the sides of the triangle satisfies the Pythagoras theorem.
That is square of the largest sides = sum of the sqaures of the sides .
That is ,
[tex]12^2 = 5^2 + 8^2 \\\\144 = 25 + 64 \\\\144 \neq 89[/tex]
It did not satisfy the Pythagoras theorem.
Hence the given triangle is not a right triangle.
If AABC IS REFLECTED across the y axis what are the coordinates of A
Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
Answer:
Profit % = 11,11 %
Step-by-step explanation:
Answer:
14% profit on shirt/skirt?...
actually as written the question can not be answered....
the start of the problem has gloves, and SHIRT... at the end you want the
profit on a SKIRT
Step-by-step explanation:
gloves sold for 8
shirt sold for 40
.2(48) = 9.60 profit
9.60 - 4 = 5.60 profit of shirt
x(40) = 5.60
14% profit on shirt
If a^2 -b^2 =12 and a-b=4 what is the bay of a +b
Answer:
a+b = 3
Step-by-step explanation:
a = b+4
a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12
8b=-4
b = - 1/2
a = 3.5
Find the equation of the line through the points (6, -9) and (-2, -1).
PLEASE ANSWER QUICK!!! 30 POINTS
The figure has angle measures as shown.
A
19x - 15
26x + 20
D
9x + 25
C
B
What is the measure of ZABD?
O 150°
O 120°
O 70°
O 30°
Answer:
Solution given;
<ABD=<BAC+<ACB
Since exterior angle of a triangle is equal to the sum of two opposite interior angle
26x+20=19x-15+9x+25
solve like terms
26x+20=28x+10
subtracting both by 10
26x+20-10=28x+10-10
Subtracting both side by 26x
10=28x-26x
2x=10
dividing both side by 2
2x/2=10/2
x=5
Now
<ABD=26*5+20=l50°
The value of <ABD is 150°
Determine the period
Answer:
It's 10, on acellus :)
Step-by-step explanation:
Surveying Indiana high school students about virtual learning or e-learning by sampling all of the students from only some of the online schools in Indiana would be a type of sampling known as cluster sampling.
True
False
Each high school in Indiana is considered a cluster. Let's say there are 1000 high schools in that state. That would mean there are 1000 clusters.
You would then randomly select say 5 clusters. Once those selections are made, you would then survey every student at those five schools selected. The number of clusters selected will depend on the situation of course.
According to general equation for conditional probability, if P(A^B) = 2/3 and P(B) = 3/4, what is P(A|B)?
Answer:
a
Step-by-step explanation:
ok
Answer:
D. 8/9
Step-by-step explanation:
What should be done first to evaluate the expression?
3 + (5 - 3)2 × 4
Answer:
19
Step-by-step explanation:
19 is the answer I think so
Micheal is selling lemonade.He sold 6 large lemonades at $3 each and 5 small lemonades at $2 each. How much money did he earn ?
Answer:
$28
Step-by-step explanation:
Answer:
6=$3
5=$2
6x3=18
5x2=10
18+10= 28
=$28
Step-by-step explanation:
30 POINTS !!!
what is the total surface area of the square pyramid? 5in height abs 8in base
20
40
104
144
Conditional Statement: if p then q The converse form of a conditional statement is when: O p and q are switched, and both negated. p and the q are switched. Neither p or q is negated. O p and q are both negated. Neither p or q are swithced.
B) p and the q are switched
C) Neither p or q is negated
========================================================
Explanation:
The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.
Here is the full list
Original = If P, then QConverse = If Q, then PInverse = If not P, then not QContrapositive = If not Q, then not PSide notes:
The original and contrapositive are equivalent in truth value.The converse and inverse are equivalent in truth value.The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coordinates of endpoint B ?
The coordinates of endpoint B are?
the coordinates of endpoint B are (7,7)
Answer:
Solution given:
M(x,y)=(2,-1)
A[tex](x_{1},y_{1})=(-3,5)[/tex]
Let
B[tex](x_{2},y_{2})=(a,b)[/tex]
now
by using mid point formula
x=[tex]\frac{x_{1}+x_{2}}{2}[/tex]
$ubstituting value
2*2=-3+a
a=4+3
a=7
again
y=[tex]\frac{y_{1}+y_{2}}{2}[/tex]
$ubstituting value
-1*2=5-b
b=5+2
b=7
the coordinates of endpoint B are (7,7)
6. Don Juan compro un terreno con las dimensiones que se muestran en la figura el cual se va acondicionar para realizar eventos sociales, por lo que desea instalar césped en la region sombreada. ¿Cuantos metros cuadrados de césped requiere? Considera rt=3.14 16 m O 50 24 m2 0 205 76 m2 256 00 m2 0 5504 m2
Answer:
Not sure but I think it might be A
Step-by-step explanation:
Took the test
Helppppp and explain tooo pls and thankyouuu
Answer:
--- ---
| -5 -2 |
| 4 12 |
--- ----
Step-by-step explanation:
A matrix can only be added to (or subtracted from) another matrix if the two matrices have the same dimensions . To add two matrices, just add the corresponding entries, and place this sum in the corresponding position in the matrix which results.
What is the measure of Arc E B C?
they help me ? is the last someone please
what is the measure of < B ? help !!
The choose (C) 60
The measure of the angles of a triangle is 180, and this triangle is equilateral, so 180/3=60, each angle is 60°
Which of the following describes point D?
The coordinates that describe the point D are: Option C: (0, 4)
How to find the coordinates of the graph?The graph shows that the vertical axis is labelled as the y-axis while the horizontal axis is labelled as the x -axis.
Normally, the coordinate system of writing the given points of the graph is (x, y)
Thus, the point D on the graph is seem to be 4 units on the positive y-axis and 0 units on the positive x-axis and as such, we can say that the coordinates of point D are:
D(0, 4)
Read more about Graph Coordinates at: https://brainly.com/question/11337174
Complete question is:
Which of the following describes point D?
(-4, 0)
(0, -4)
(0, 4)
(4, 0)
PLEASE HELP! Use the substitution method to solve the system of equations.
A. (-30,11)
B. (5,-3)
C. (10,-5)
D. (0,1)
Hello,
[tex]\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\[/tex]
Answer A
SOMEONE PLEASE HELP ME! IM SO CONFUSED, NEED THIS VERY BADLY!
Answer:
115°
Step-by-step explanation:
in a parallelogram vertically opposite angles are equal.
m∠MNK=m∠KLM=115°
If 'a' is a number lying between 0 and 1. then which of the following is in increasing order? a) a², a, √a b) a √a ,a² c) a²,√a,a d) a, a², √a
Hello,
[tex]0\leq a\leq 1 \Longrightarrow 0*a\leq a*a\leq 1*a \Longrightarrow 0 \leq a^2 \leq a\\\\0\leq a^2\leq a \Longrightarrow \sqrt{0} \leq \sqrt{a^2} \leq \sqrt{a} \\\\The\ function\ y=x^2\ is\ increasing\\\\Answer A\\\\ex: a=0.5 \\\\a^2=0.25\\\\\sqrt{a}=\dfrac{\sqrt{2}}{2}\approx{0.7071...}\\\\and\ 0.25\leq 0.5 \leq 0.7071...[/tex]
(a+1)(b+2)
please help me!!!
Answer:
(a + 1) (b + 2 ) = 2a + b + ab + 2
Step-by-step explanation:
[tex](a +1 )(b + 2) \\\\= a( b+ 2) + 1 (b +2) \\\\= ab + 2a + b + 2\\\\=2a + b + ab + 2[/tex]
[tex](a + 1)(b + 2) \\ = a(b + 2) + 1(b + 2) \\ = ab + 2a + b + 2[/tex]
Answer ↦ [tex]\boxed{\tt{ab + 2a + b + 2}}[/tex]
Method Used:↦ Distributive Property.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
rization
Vhat is the prime factorization of 180?
Select a composite number to break into factors. Continue
factoring until all factors are prime.
22•2•3•3.5
2.2.45
2.3.3.5
480
2.9.5
Answer:
5 3 3 2 2
Step-by-step explanation:
180
90 2
45 2 2
15 3 2 2
5 3 3 2 2
Answer:
180 = 5 × 3² × 2²
Step-by-step explanation:
Starting with 180, the prime factors are in bold
180 = 90 × 2
= 45 × 2 × 2
= 15 × 3 × 2 × 2
= 5 × 3 × 3 × 2 × 2
Then
180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²
Mathematics can help me with
Answer:
Fabric Cloaks
21 6
7 2
14 4
Step-by-step explanation:
To represent the situation, we can write a ratio using the information 21 sq meters per 6 wizard cloaks. we can write:
21 sq m/ 6 cloaks
and simplify both the numerator and denominator by dividing each by 3:
7 sq m/ 2 cloaks
We can already fill out the second row because, from the ratio above, we can say 2 cloaks use 7 sq m.
For the next row, we need the number of cloaks, or the denominator to be 4. So, we need to multiply both the top and the bottom by two to get:
14 sq m/ 4 cloaks
This means 4 cloaks need 14 sq m.
Evaluate the question in the photo attached please. ASAP