2. The mean of 5 numbers is 10. The median is 13. What might the numbers be?
Find 2 different answers.
Mean is the average.
10 x 5 = 50
All 5 numbers need to add up to 50.
Median is the middle value, so there are 2 numbers below 13 and 2 numbers above 13.
Since the middle number is 13, the other 4 numbers must add up to equal 37 (50-13 = 37)
4 +3 = 7
14+16 = 30
1 set could be 3, 4 ,13, 14, 16
A 2nd set could be:
1 +2 = 3
16 + 18 = 34
1,2,13,16,18
find the inverse of y=100-x^2
Answer:
The inverse is ±sqrt(100-x)
Step-by-step explanation:
To find the inverse, exchange x and y
x = 100 -y^2
Solve for y
Subtract 100 from each side
x - 100 = -y^2
Divide by -1
-x +100 = y^2
Take the square root of each side
±sqrt(100-x) = sqrt(y^2)
±sqrt(100-x) =y
The inverse is ±sqrt(100-x)
if Susan is able to read 3 pages in 5 minutes how many pages would you expect her to read in 20 minutes
Answer:
I would expect 12 pages...lol
Step-by-step explanation:
The radius of a circle measures 5 milometers . What is the circumference of the circle? Use 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
circumference = 31.4 milometers
Step-by-step explanation:
circumference = 5(2)(π)
circumference = 31.4 milometers
The sum of the angles of any triangle is
Find all the missing angles in the triangles. Write each answer on the line
provided beside the corresponding letter.
Answer:
A: 40
B: 90
C: 53.5
D: 34
E: 90
F: 52.9
G: 90
H: 59.6
I: 119.1
J: 30.4
K: 90
L: 72
M: 107.3
N: 47.7
O: 36
P:90
Step-by-step explanation: In every triangle the angles will add up to 180. The little square means 90. You can just subtract all the number you already know in the triangle from 180 to find the one you don’t know.
The values of the angle is given along with angle name.
What is Angle Sum Property ?The sum of all angles of a triangle is equal to the angle of a straight line i.e. 180°.
If we have a triangle ABC , then
Sum of angle A , B and angle C will be 180 °.
and the value of the exterior angle is equal to the sum of two interior opposite angle
In the given figure we will apply the angle sum property and the exterior angle property to determine the values .
The values will be
A: 40
B: 90
C: 53.5
D: 34
E: 90
F: 52.9
G: 90
H: 59.6
I: 119.1
J: 30.4
K: 90
L: 72
M: 107.3
N: 47.7
O: 36
P:90 in degree
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A rectangle has side measurements of 12 units and 8 units.
What is the approximate measure of a diagonal that cuts through the rectangle?
Round to the nearest tenth.
The approximate measure of a diagonal that cuts through the rectangle are 14.4.
What is a diagonal?A diagonal in geometry is a line segment that connects two vertices of a polygon or polyhedron that are not on the same edge. Informally, any sloping line is referred to as a diagonal.
Given that a rectangle has side measurements of 12 units and 8 units. The measure of the length of the diagonal will be,
d =√ ( w²+l² )
d =√ ( 8²+12² )
d =√ ( 64 + 144 )
d ≈14.4
Therefore, the approximate measure of a diagonal that cuts through the rectangle is 14.4.
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9x - 7i < 3 (3x - 7u)
Answer:
Step-by-step explanation:
9x - 7i < 3(3x - 7i)
9x - 7i < 9x - 21i
-7i < -21i
14i < 0i < 0
Hunter is going to invest in an account paying an interest rate of 1.7% compounded continuously. How much would Hunter need to invest, to the nearest cent, for the value of the account to reach $4,500 in 18 years?
Answer:
$3333.33 approx
Step-by-step explanation:
Given data
Rate r= 1.7%
Final Amount A=$4500
Time = 18years
Principal P= ????
The expression for the compound interest is given bellow as
A=P(1+r)^t
4500= P(1+0.017)^18
4500= P(1.017)^18
4500= P*1.35
P= 4500/1.35
P= $3333.33
Hence the principal is $3333.33 approx
Answer:3313.74
Step-by-step explanation:
how do I solve use elimination
x+3y=13
5x+6y=38
Answer:
(4, 3 )
Step-by-step explanation:
Given the 2 equations
x + 3y = 13 → (1)
5x + 6y = 38 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 2x - 6y = - 26 → (3)
Add (2) and (3) term by term to eliminate y
3x + 0 = 12
3x = 12 ( divide both sides by 3 )
x = 4
Substitute x = 4 into either of the 2 equations and solve for y
Substituting into (1)
4 + 3y = 13 ( subtract 4 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
solution is (4, 3 )
Factorise by grouping: x² - 5x + 2x - 10
Answer:
[tex]\boxed {\boxed {\sf (x+2)(x-5)}}[/tex]
Step-by-step explanation:
To factor by grouping, first divide the polynomial into 2 groups with parentheses.
[tex]x^2-5x+2x-10[/tex]
[tex](x^2-5x)+ (2x-10)[/tex]
Factor the greatest common factor (GCF) out of both binomials.
For the first binomial, the GCF is x.
[tex]x(x-5) +(2x-10)[/tex]
For the second binomial, the GCF is 2.
[tex]x(x-5)+2(x-5)[/tex]
Factor out the common binomial which is (x-5).
[tex](x+2)(x-5)[/tex]
The factorized form of x²-5x+2x-10 is (x+2)(x-5)
multiply on the number line 4x(-3)
Answer:
-12x
Step-by-step explanation:
4x* -3 = -3* 4 *x= -12x
Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How
many dimes does Carter have?
pls help.. only one question
Answer:
sorry in advance!
i think that it is B and E
Step-by-step explanation:
the vertices of a triangle are formed by the intersections of the following three lines:
y=x
x=8
y=1/4x + 3
graph the triangle and its image after the composition
If f (x) = x-5 and g(x) = 4x what is the value off [g(4)]?
Step-by-step explanation:
f[g(4)]
g(x) = 4x
g(4) = 4(4)
= 16
f(x) = x-5
f[g(4)] = f(16) = 16 - 5 = 11
So, f[g(4)] = 11
can u PLEASE stop ignoring me i really do need help): try#7263738 of trying to get help lol
Answer:
SSS for the top one
SSS for the second one
Step-by-step explanation:
Alaska's tundra is a wet marsh in the summer—it's hard to walk through and slowed them down. It took 1 week to hike the 45.5 miles over the Brooks Range. What was the average number of miles per day that they traveled?
Answer: 6.5 miles per day
Step-by-step explanation:
First and foremost, we should note that 7 days = 1 week. Therefore, from the question, we are given the information that it took took 1 week to hike the 45.5 miles over the Brooks Range.
The average number of miles per day that they traveled will then be:
= 45.5 miles / 1 week
= 45.5 miles / 7 days
= 45.5/7
= 6.5 miles per day
Which of the following functions has a rate of change that stays the same? (1 point)
O y = x2 - 5x -14
O y = 19x - 10
O y = 5*
O y = 0.03x² + 11x + 1
this is the answer y=19x-10
The line plot shows the distances, in miles, run by joggers in a park.
How many runners ran at least 3 miles?
Enter your answer in the box.
runners
help pls lol what is the range of the function
Answer:
all real number greater than or equal to -3.
Please help me,
11x13 = _ x 13+5 x 13
what is the number that goes in the blank
Answer:
6
Step-by-step explanation:
11x13=143
5x13 = 65
143 - 65 = 78
78/13= 6
Ava has a lawn-mowing business. She earned 72 dollars in total from mowing 9 lawns today. How much does she charge for each lawn-mowing job?
Answer:
$8
Step-by-step explanation:
You divide $72 by 9 to get the money for each lawn-mowing job.
72/9 = 8
She charges $8 for each lawn she mows.
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 37%. If they have six children, what is the probability that at most one of their six children will have that trait? Round your answer to the nearest thousandth.
Answer:
Yes
Step-by-step explanation:
Answer:
Sum: 0.78619≈0.786
Step-by-step explanation:
n=4
r=1, 2, 3, 4
r=1,2,3,4
"At least" counts up.
p=32\%=0.32
p=32%=0.32
q=1-0.32=0.68
q=1−0.32=0.68
The chance a success does NOT occur.
_{n}C_{r}p^rq^{n-r}
The probability that at most one of their six children will have that trait is 0.68
How to determine the probability?From the question, the given parameters are
Number of children, n = 6
Probability of a child with the trait, p = 37%
The required probability that at most one will have that trait is represented as P(x ≤ 1)
This probability is calculated ;
P(x ≤ 1) = P(0) + P(1)
Where
P(x) = ⁿCₓ * pˣ (1 - p)ⁿ⁻ˣ
So, we have
P(x ≤ 1) = ⁷C₀ (37%)⁰ (1 - 37%)⁷⁻⁰ + ⁷C₁ (37%)¹ (1 - 37%)⁷⁻¹
Evaluate;
P(x ≤ 1) = ⁷C₀ * 1 * (63%)⁷ + ⁷C₁ * (37%) * (63%)⁶
So, we have;
P(x ≤ 1) = 1-0.32= 0.68
Hence, the probability is 0.68
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Please answer ASAP no links please and thanks u
Step-by-step explanation:
the answer is b
Answer:
C. 120 ft^2
Step-by-step explanation:
The area of the triangles= (1/2*3*4)2=12
The area of the larger parallelogram=5*9=45
The area of the bottom rectangle=4*9=36
The area of the vertical rectangle=3*9=27
Totale Surface Area=12+45+36+27=120
In the opening credits of each episode of
the TV show Fawlty Towers, the sign on the
front of the hotel rearranged the letters in
the hotel's name.
a) How many arrangements are there of all
the letters in FAWLTY TOWERS?
b) How many arrangements of these letters
are possible if the A, Y, O, and E must
remain in their original order?
I’ll give points but please help me on this and if you don’t know the answer please don’t answer the question thank you
1
Over the weekend, Cedrick drove 45-miles. He used 2-gallons of gasoline. What is the unit rate for miles per gallon?
22,5
Step-by-step explanation:
45 :2 = 22,5 mark me plz thanks
1 +tan30÷1-tan30=1+sin60÷1-sin30
can anyone help me in proving this?
Very quickly: since tan(30°) = 1/√3,
(1 + tan(30°)) / (1 - tan(30°)) = (1 + 1/√3) / (1 - 1/√3)
… = (√3 + 1) / (√3 - 1)
… = (√3 + 1)² / ((√3)² - 1²)
… = ((√3)² + 2√3 + 1²) / (3 - 1)
… = (3 + 2√3 + 1) / 2
… = (4 + 2√3) / 2
… = 2 + √3
On the other side, we have sin(30°) = 1/2 and sin(60°) = √3/2, so
(1 + sin(60°)) / (1 - sin(30°)) = (1 + √3/2) / (1 - 1/2)
… = (1 + √3/2) / (1/2)
… = 2 (1 + √3/2)
… = 2 + √3
and we're done, both sides are equal.
We can also prove this algebraically:
Force the denominator on the left side into a difference of squares:
(1 + tan(30°)) / (1 - tan(30°)) × (1 + tan(30°)) / (1 + tan(30°))
… = (1 + tan(30°))² / (1 - tan²(30°))
Expand the numerator:
… = (1 + 2 tan(30°) + tan²(30°)) / (1 - tan²(30°))
Recall that 1 + tan²(x) = sec²(x) :
… = (sec²(30°) + 2 tan(30°)) / (1 - tan²(30°))
Since sec(x) = 1/cos(x) and tan(x) = sin(x)/cos(x), multiply through every term by cos²(30°) :
… = (sec²(30°) + 2 tan(30°)) / (1 - tan²(30°)) × cos²(30°) / cos²(30°)
… = (1 + 2 sin(30°) cos(30°)) / (cos²(30°) - sin²(30°))
Recall that sin(2x) = 2 sin(x) cos(x) and cos(2x) = cos²(x) - sin²(x) :
… = (1 + sin(2×30°)) / cos(2×30°)
… = (1 + sin(60°)) / cos(60°)
Finally, recall that cos(90° - x) = sin(x), so cos(60°) = sin(30°) = 1/2, and we can write 1/2 = 1 - 1/2, so
… = (1 + sin(60°)) / (1 - sin(30°))
as required.
Find the number of three digit natural numbers
which are divisible by 11
Answer:
121. three digits. 121/11=11
Step-by-step explanation:
Answer:
90.
Step-by-step explanation:
1000 / 11
= 90.9.
Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 14 square foot. How many squares is the wall divided into? Enter your answer in the box.
Complete question :
Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 1/4 square foot. How many squares is the wall divided into?
Answer:
96
Step-by-step explanation:
Given that:
Total area of wall = 24 ft²
Area of each division =. 1/4 ft²
Number of division = x
The number of divisions * area of each division = total area of wall
x * 1/4ft² = 24ft²
Divide both sides by 1/4 ft²
x = 24ft² ÷ 1/4 ft²
x = 24 * 4 /1
x = 96
Hence, wall is divided into 96 squares
