Answer:
The probability is 0.97682
Step-by-step explanation:
We start by finding the z-values of the runner times given.
Mathematically;
z-score = (x-mean)/SD
From the question, mean = 13 seconds and SD = 0.3 seconds
So for 12.4 seconds, we have;
z = (12.4-13)/0.3 = -0.6/0.3 = -2
For 14 seconds, we have;
z = (14-13)/0.3= 1/0.3 = 3.33
So the probability we want to calculate is;
P(-2<z<3.33)
We can find this using the standard normal distribution table
Mathematically;
P(-2<z<3.33) = P(z<3.33) - P(z < -2)
Using the standard normal distribution table, the value of this is;
P(-2<z<3.33) = 0.97682
prove that the line x-y=0 bisect the line segment joining the point (1,6) and (4, -1)
Step-by-step explanation:
x-y=0(l.6)-(4.-1)(6-4)-(1--1)2--2=0Numbers 1-6 please and thank you This is really hard and I really really need help. I appreciate all the help I can get.
Area of prism = base area × altitude
1. (2x²-10)(x+4)
= 3x³-2x - 40
2. Base area = 2πr
Volume = (2πr)(r²+ 5r)
=2πr³ + 10πr²
3. Base area=½(6)(x-4)(x+3)=3(x-4)(x+3)
Volume= 3(x-4)(x+3)(⅓)
=(x-4)(x+3)= x² - x -12
4. Base circumference= 10π
Base radius = 10π/(2π) = 5
Base area = πr² = 25π
Volume = 25π(3x²-2x)
=125πx²-50πx
5. Volume = 3π√50
=15π√2
6. Base diameter = 16
Base radius = 16/2 = 8
Base area = 2πr = 16π
Volume = 16π(23a²)
=368πa²
-8 + 4m = 2. What is m?
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your equation step-by-step.
[tex]-8 + 4m = 2[/tex]
Step 1: Simplify both sides of the equation.
[tex]4m - 8 = 2[/tex]
Step 2: Add 8 to both sides.
[tex]4m - 8 + 8 = 2 + 8 \\4m = 10[/tex]
Step 3: Divide both sides by 4.
[tex]\frac{4m}{4} = \frac{10}{4} \\m = \frac{5}{2}[/tex]
Answer : [tex]\boxed {m = \frac{5}{2} }[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Rule: Multiply x by 0. Then add 7 to the result to get y
Answer:
Let's simplify step-by-step.
x(0)+7
=0+7
Combine Like Terms:
=0+7
=(0+7)
=7
Step-by-step explanation:
Answer:
y = 7
Step-by-step explanation:
x · 0 = 0
0 + 7 = 7
y = 7
Simplify. Can you explain it also?
[tex] \frac{9 {c}^{3} {de}^{2} }{12 {c}^{2}d {e}^{3} }[/tex]
Answer:
The answer is
[tex] \frac{3c}{4e}[/tex]Step-by-step explanation:
[tex] \frac{9 {c}^{3}d {e}^{2} }{12 {c}^{2} d {e}^{3} } [/tex]To solve the fraction reduce the fraction with d
That's we have
[tex] \frac{9 {c}^{3} {e}^{2} }{12 {c}^{2} {e}^{3} } [/tex]Next simplify the expression using the rules of indices to simplify the letters in the fraction
For c
Since they are dividing we subtract the exponents
We have
[tex] {c}^{3} \div {c}^{2} = {c}^{3 - 2} = c^{1} = c[/tex]For e
[tex]e^{2} \div {e}^{3} = e^{2 - 3} = {e}^{ - 1} = \frac{1}{e} [/tex]Substituting them into the expression we have
[tex] \frac{9c}{12e} [/tex]Reduce the fraction by 3
We have the final answer as
[tex] \frac{3c}{4e} [/tex]Hope this helps you
Find the Algebric Equation
The sum of the product of 5 and a number, and 8
Answer:
5x+8
Step-by-step explanation:
First find the product of 5 and a number
5x
Then sum it with 8
5x+8
Part of the graph of the function f(x) = (x + 4)(x - 6) is
shown below.
Which statements about the function are true? Select
two options.
py
The vertex of the function is at (1.-25).
6
4
The vertex of the function is at (1,-24).
The graph is increasing only on the interval -4< x < 6.
The graph is positive only on one interval, where x <-
4.
2-
-6
2
4
6
х
-2
-2
The graph is negative on the entire interval
4
4
6
Answer:
x-intercept(s):
( − 4 , 0 ) , ( 6 , 0 )
y-intercept(s):
( 0 , − 24 )
Step-by-step explanation:
The graph of the function f ( x ) = ( x + 4 ) ( x - 6 ) is plotted
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be represented as A
Now , the value of A is
f ( x ) = ( x + 4 ) ( x - 6 ) be equation (1)
On simplifying , we get
The graph of the function is plotted and it is increasing only on the interval -4< x < 6
And , the vertex of the function is at P ( 1 , -25 )
Therefore , the function is f ( x ) = ( x + 4 ) ( x - 6 )
Hence , the function is f ( x ) = ( x + 4 ) ( x - 6 )
To learn more about parabola click :
https://brainly.com/question/24042022
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Determine if the event described is independent or dependent. Two people are standing in line at a movie theater trying to decide on which movies to see. a independent b dependent c neither d both
Answer:
c as in neither.
Step-by-step explanation:
the question does not give enough info because there are not two variables to be dependant on
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1.-4,-1,1,6
2.by substituting the values given, we get
32-|15+8|
32-|23|
32-23=9
3.-15+7=8
4..27-(-12)=27+12=39
5.-6.05+(-2.1)
-6.05-2.1=-8.15
6.-3/4-(-2/5)
-3/4+2/5
=-7/20
7.-9(-12)
=108
8.(3.8)(-4.1)
-15.58
9.(-8x)(-2y)+(-3y)(z)
(16xy)+(-3zy)
(16xy)-(3zy)
10.by substituting the value given,we get
2.5*(-3.2)+5
-8+5
-3
so here are the answers,mark as brainliest if u find it useful
thank you
Correct answer gets brainliest and 5 starts
Answer:
A
Step-by-step explanation:
The unit price will be the slope of the line which is 8, so the unit price is $8/1 lb
Determine the equation of the perpendicular bisector of the line segment with endpoints A(-1, 4) and B(7, -2)
Answer:
y = 4/3x - 3
Step-by-step explanation:
slope = (-2 - 4)/(7 - -1) = -6/8 = -3/4
perpendicular slope = 4/3
midpoint (-1 + 7)/2, (4 + -2)/2
(3, 1)
y = mx + b
1 = 4/3(3) + b
1 = 4 + b
-3 = b
y = 4/3x - 3
A point is randomly chosen on a map of North America. Describe the probability of the point being in each location: North America: New York City: Europe:
Answer:
We know that the map is of North America:
The probabilities are:
1) North America:
As the map is a map of North America, you can point at any part of the map and you will be pointing at North America, so the probability is p = 1
or 100% in percentage form.
2) New York City.
Here we can think this as:
The map of North America is an extension of area, and New Yorck City has a given area.
As larger is the area of the city, more probable to being randomly choosen, so to find the exact probability we need to find the quotient between the area of New York City and the total area of North America:
New York City = 730km^2
North America = 24,709,000 km^2
So the probability of randomly pointing at New York City is:
P = ( 730km^2)/(24,709,000 km^2) = 3x10^-5 or 0.003%
3) Europe:
As this is a map of Noth America, you can not randomly point at Europe in it (Europe is other continent).
So the probaility is 0 or 0%.
Answer:
North America: certain
New York City: unlikely
Europe: impossible
Step-by-step explanation:
simply
ABC is an equilateral triangle, solve y
Answer:
y is 60⁰
because all sides are equal
Answer:
60 degrees
Step-by-step explanation:
In an equilateral triangle, the angles are equiangluar and the sides are equal.
180 degrees in a triangle/3 sides =
= 60 degrees per side
Observe the figure drawn, in which a square of side 15cm is removed from one corner of the given rectangle. Find the perimeter of the shaded region. Pls answer, no other irrelevant answer. Pls solve this. I will follow you if you do it. It's urgent!!!
Step-by-step explanation:
Let's start by finding the area of figure 1
The square:
15cm×15cm=225cm²
Then we're going to find the area of figure 2
it's a rectangle (A=L×W)
L=60cm-15cm(because those cm have been cut off)=45cm
W=40cm
Area=45cm×40cm
=1800cm²
Then we add up the sum
Area of 1+Area of 2
=225cm²+1800cm²
=2025cm²
Answer:
140 cm is the perimeter of the unshaded shape.
Step-by-step explanation:
Perimeter of the rectangle in whole = 2l + 2w
Where length is 60 cm and width is 40 cm.
P = 2 × 60 + 2 × 40
= 120 + 80
= 200 cm
To find the perimeter of the unshaded square = 4l
Where the length is 15 cm.
P = 4× 15
= 60 cm
To find the perimeter of the shaded shape = Perimeter of rectangle - Perimeter of unshaded square.
P = 200 - 60
= 140 cm
140 cm is the perimeter of the unshaded shape.
Please help! Will give brainliest to correct answer
We can solve it through proportionality or ratios
2 lamps required to create 4signalsLet lamps required to create 60signals be x
Now
[tex]\\ \sf\longmapsto 2:4=x:60[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{4}=\dfrac{x}{60}[/tex]
[tex]\\ \sf\longmapsto 4x=60(2)[/tex]
[tex]\\ \sf\longmapsto 4x=120[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{120}{4}[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
Can guys please help me, please solve E
Answer:
Step-by-step explanation:
h(x)=12/x
h(a)= 12/a ( a is a variable number just replace x with a)
What is the missing reason in the proof?
Statements
Reasons
1. AB / CD; BC // DA 1. given
2. Quadrilateral ABCD 2. definition of parallelogram
is a
3. AB CD; BC = DA 3. opposite sides of a
parallelogram are >
4. AC AC
4. reflexive property
5. AABC 2 ACDA 5. ?
perpendicular bisector theorem
Pythagorean theorem
HL theorem
SSS congruence theorem
Answer:
The correct option is;
SSS congruency theorem
Step-by-step explanation:
Given that opposite sides of a parallelogram are equal, whereby side AB is congruent to side CD and side BC is congruent to side DA and also that side AC is congruent to side CA, we have;
Triangle ABC with sides AB, BC, and AC is congruent to triangle CDA with corresponding sides CD, DA, and CA, by the Side-Side-Side (SSS) rule of congruency (two or more triangles that have all three sides of one triangle congruent to the three sides of the other triangle are congruent).
The missing reason in the proof is: SSS Congruence Theorem.
What is the SSS Congruence Theorem?SSS means side-side-side, meaning two triangles have three pairs of congruent sides.According to the SSS Congruence Theorem, two triangles with three pairs of congruent sides must be congruent to each other.Thus, ΔABC and ΔCDA has been shown to have three pairs of congruent sides, therefore, the missing reason in the proof is: SSS Congruence Theorem.
Learn more about SSS Congruence Theorem on:
https://brainly.com/question/14252518
Find the volume of a pyramid with a square base, where the side length of the base is 17 in 17 in and the height of the pyramid is 9 in 9 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
The volume of the pyramid is 867 inch^3
Step-by-step explanation:
Here in this question, we are interested in calculating the volume of a square based pyramid.
Mathematically, we can use the formula below to calculate the volume V of a square based pyramid.
V = a^2h/3
where a represents the length of the side of the square and h is the height of the pyramid
From the question, the length of the side of the square is 17 in while the height is 9 in
Plugging these values, we have ;
V = (17^2 * 9)/3 = 17^2 * 3 = 867 cubic inch
please help me Find DE.
Answer:
DE = 11
Step-by-step explanation:
DF = DF +EF
4x+2 = x+7 + 7
Combine like terms
4x+2 = x+14
Subtract x from each side
4x+2-x = x+14-x
3x+2 = 14
Subtract 2 from each side
3x+2-2 =14-2
3x=12
Divide by 3
3x/3 = 12/3
x = 4
DE = x+7 = 4+7 =11
Answer:
DE is 11
Step-by-step explanation:
[tex]DE = DF - EF \\ DE = (4x + 2) - 7 \\DE = 4x - 5 [/tex]
But for x:
[tex]4x + 2 = (x + 7) + 7 \\ 4x + 2 = x + 14 \\ 3x = 12 \\ x = 4[/tex]
Therefore:
[tex]DE = (4 \times 4) - 5 \\ = 16 - 5 \\ = 11[/tex]
solve the following: If 7a – 4b = 3, then b =
Answer:
D (7a-3)/4
Step-by-step explanation:
7a – 4b = 3
Subtract 7a from each side
7a-7a – 4b = 3-7a
-4b = 3 -7a
Divide by -4
-4b/-4 = (3-7a)/-4
b = (7a-3)/4
Answer:
b = (7a - 3)/4
Step-by-step explanation:
7a - 4b = 3
=> -4b = 3 - 7a
=> b = (3 - 7a)/(-4)
=> b = -(3 - 7a)/4
=> b = (-3 + 7a)/4
=> b = (7a - 3)/4
What is the value of 5^4/5^6
Answer:
1/25 or 0.04
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
5 to the 4th power (5 × 5 × 5 × 5) is 625.
5 to the 6th power (5 × 5 × 5 × 5 × 5 × 5) is 15625.
625/15625 = 0.04.
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
If the ratio of raisins to bran flakes in a box of raisin bran flakes cereal is 3:27, how many raisins are there in a box that contains 3,000 raisins and brand flakes?
Answer:
300 raisins
Step-by-step explanation:
sum the parts of the ratio, 3 + 27 = 30 parts
Divide the total by 30 for the value of one part of the ratio.
3000 ÷ 30 = 100 ← value of 1 part of the ratio , then
3 parts = 3 × 100 = 300 ← number of raisins in a box
Help with number 11 anyone?
Answer:
y = 3/5×x + 1
Step-by-step explanation:
Slope intercept form y= mx + b
since slope = 3/5 => y= [tex]\frac{3}{5}[/tex]x + b
Plug point (-5,-2) to the equation -2 = [tex]\frac{3}{5}[/tex] x (-5) + b
=> b=1
WILL MARK BRAINLIEST!!!! PLZ HELP!!! A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height f(x), in feet, of the food packet at different times x, in seconds: Use the graph to determine the domain of f(x) for all viable x values, based on the context. x ≤ 6000 0 ≤ x ≤ 20 −20 ≤ x ≤ 20 All real numbers
Answer:
[tex]\large \boxed{\mathrm{All \ real \ numbers}}[/tex]
Step-by-step explanation:
The domain of a function is all possible values of x for which the function is real and defined.
[tex]f(x)=-15x^2 +6000[/tex]
The function has no undefined points nor any restrictions on the value of x.
[tex]- \infty < x < \infty[/tex]
The domain of the function is all real numbers.
Answer:
All real numbers
Step-by-step explanation:
The domain is the set of all possible values for x.
f(x) = -15x² + 6000
There are no restrictions on the value of x.
The domain is all real numbers.
If a person invests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years. A. $164 B. $180 C. $401 D. $176
Answer:
[tex]\large \boxed{\sf \bf \ \ \ D. \ \$ 176 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
After 5 years, we will get
[tex]120*(1+8\%)*(1+8\%)*(1+8\%)*(1+8\%)*(1+8\%)\\\\=120*(1+8\%)^5\\\\=120\cdot 1.08^5\\\\= 176.3193...[/tex]
Thank you
For the Parabolay = (x – 7)2 – 3. the equation for the Line Of Symmetry is
a) x
b) y
c) -7
d) 3
e) -3
Answer:
x = 7
Step-by-step explanation:
y = (x – 7)^2 – 3
This equation is in vertex form
y = a(x-h)^2 +k
where (h,k) is the vertex
For a vertical parabola, the line of symmetry is x=h
x = 7
Given three consecutive even integers whose sum is 54, find the largest of the three integers.
Answer:
The largest of the three numbers is 20Step-by-step explanation:
16, 18, 20
(n) + n+2 + n+4
Note:We only took even numbers
Answer:
20
Step-by-step explanation:
Let the least integer = x. The three consecutive even integers can be denoted as:
x , x + 2 , x + 4
Set the equation:
(x) + (x + 2) + (x + 4) = 54
Simplify. Combine like terms:
(x + x + x) + (2 + 4) = 54
(3x) + (6) = 54
3x + 6 = 54
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 6 from both sides of the equation:
3x + 6 (-6) = 54 (-6)
3x = 54 - 6
3x = 48
Next, divide 3 from both sides of the equation:
(3x)/3 = (48)/3
x = 48/3
x = 16
~
Next, find the largest of the three integers, which was denoted as x + 4:
x + 4
(16) + 4 = 20
20 is the largest integer.
Check:
x + (x + 2) + (x + 4) = 54
16 + (16 + 2) + (16 + 4) = 54
16 + 18 + 20 = 54
16 + 38 = 54
54 = 54 (True).
~
Does the equation |2x + 11| = 21 have 0, 1, 2, or 3 solutions? Explain your answer
Answer:
2x +11=21 and 2x+11=-21 it has 2 solutions because of the absolute value and to solve you would jist solve for X
Remember the type of word problems that have been posted this week. Now it's your turn. Create a word problem that can represent the expression 2x + 6
Picture Shown!
Find the image of the given point
under the given translation.
P(-5,7) T(x, y) = (x + 5, y - 4)
P' = ([?], [?])
Enter the number that belongs in
the green box.
Answer:
0'=(0,3)
Step-by-step explanation:
P'=(-5+5,7-5)=(0,3)