The probability P(-0.5 ≤ z ≤ 0.5) is the greatest for a standard normal distribution, and the value of P(-0.5 ≤ z ≤ 0.5) is 38.2% option second is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have a statement:
Which of the following probabilities is the greatest for a standard normal distribution:
The options are:
P(-1.5 ≤ z ≤ -0.5)
P(-0.5 ≤ z ≤ 0.5)
P(0.5 ≤ z ≤ 1.5)
P(1.5 ≤ z ≤ 2.5)
As we know from the normal distribution curve we can find the probability between the range given. At Z=0, the chance is 50-50.
From the Z-curve:
P(-1.5 ≤ z ≤ -0.5) = 9.2% + 15% = 24.2%
P(-0.5 ≤ z ≤ 0.5) = 19.1% + 19.1% = 38.2%
P(0.5 ≤ z ≤ 1.5) = 15% + 9.2% = 24.2%
P(1.5 ≤ z ≤ 2.5) = 4.4% + 1.7% = 6.1%
Thus, the probability P(-0.5 ≤ z ≤ 0.5) is the greatest for a standard normal distribution, and the value of P(-0.5 ≤ z ≤ 0.5) is 38.2% option second is correct.
Learn more about the normal distribution here:
brainly.com/question/12421652
#SPJ1
Answer:
B) P (-0.5 <= z <= 0.5)
Step-by-step explanation:
The base of a triangle is 5 cm greater than the
height. The area is 33 cm². Find the height and
the length of the base.
Answer:
height= 13.2 cm
Step-by-step explanation:
h = 2 × A/b
h = 2 × 33 /5
= 13.2
can u welp me?
tnx in advance
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
Answer:
Figure Number 1.
Area of smaller square = [tex]\tt\underline{5cm}[/tex][tex]\tt{\times 5cm = }[/tex][tex]\tt\underline\green{25}[/tex] [tex]\tt{sq.cm}[/tex]
Area of bigger square = [tex]\tt{15cm \times}[/tex][tex]\tt\underline{ 15cm }[/tex][tex]\tt{=}[/tex] [tex]\tt\underline\green{225}[/tex] [tex]\tt{sq.cm}[/tex]
Total Area = [tex]\tt\underline\green{25sq.cm}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{225sq.cm}[/tex] [tex]\tt{=}[/tex] [tex]\normalsize \underline{\boxed{\tt \red{250}}}[/tex] [tex]\tt\underline{sq.cm}[/tex]
[tex]\\[/tex]
Figure Number 2.Area of square A = [tex]\tt\underline{7m}[/tex][tex]\tt{\times}[/tex][tex]\tt\underline{7m}[/tex][tex]\tt{=}[/tex][tex]\tt\green{49}[/tex] [tex]\tt{sq.m}[/tex]
Area of square B = [tex]\tt{7m}[/tex][tex]\tt{\times}[/tex][tex]\tt{7m}[/tex][tex]\tt{=}[/tex][tex]\tt\underline\green{49}[/tex] [tex]\tt{sq.m}[/tex]
Area of square B = [tex]\tt{14m}[/tex][tex]\tt{\times}[/tex][tex]\tt\underline{14m}[/tex][tex]\tt{=}[/tex][tex]\tt\green{196}[/tex] [tex]\tt{sq.m}[/tex]
Total Area = [tex]\tt\underline\green{49m}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{49m}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{196}[/tex] [tex]\tt{=}[/tex][tex] \normalsize \underline{\boxed{\tt \red{294}}}[/tex][tex]\tt{sq.m}[/tex]
====================================
To find the area of square use this formula [tex]\large\tt{A = s \times s}[/tex]. Means side of the square multiply to the same side of the square
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
#CarryOnLearning
૮₍´˶• . • ⑅ ₎ა
Ratio of men to women working for a company is 7to5 there are 75 women working for the company what is total number of employees
Answer:
There is a total of 180 employees.
Step-by-step explanation:
men : women
7 : 5
5 units = 75
1 unit = 15
12 units = 180
what is slope in algebra 1?
Answer:
rise over run aka a measure of its steepness
Step-by-step explanation:
The hypotenuse of a 90-45-45 triangle is 20√2. What is the short leg and the long leg>
Answer:
Both legs would be 20
Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.
I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.
solve for x: 5x-4y=24
Answer:
x=4y+24/5
Step-by-step explanation:
add 4y
Divide by 5
The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y. Simplify completely.
x = 12, y = 3
1
y =
?
x
►
Enter
Answer:
1/4
Step-by-step explanation:
Since y/x = 3/12 = 1/4, the answer is 1/4.
A graph displays point A (5, 3, 4) and point B (−4, 2, 6). Calculate the approximate distance each point is from the origin. Round to the nearest tenth. Which point is farther from the origin, and by how much?
Distance from the origin to the points ≈ 0.41.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
Point A (5, 3, 4) and point B (−4, 2, 6) are located away from the origin (0,0,0), and the points from the origin to this points are expressed as OB - OA where;
Let OB is the distance from the origin to the point B
Let OA is the distance from the origin to the point A
Using the formula for calculating the distance between two points;
OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²
OA = √(4-0)²+(3-0)²+(5-0)²
OA = √(16)+(9)+(25)
OA = √50
OA = 7.071
Similarly;
OB = √(6-0)²+(2-0)²+(-4-0)²
OB = √(6)²+(2)²+(-4)²
OB = √36+4+16
OB = √56
OB = 7.4833
Distance from the origin to the points = 7.4833 - 7.071= 0.4123
Distance from the origin to the points ≈ 0.41
Learn more about distance between two points here:
brainly.com/question/16410393
#SPJ1
!!WILL GIVE BRAINLIES PLS HELP!!!
Which inequality in vertex form represents the region less than or equal to the quadratic function with vertex (-6,
12) and includes the point (-9, 15) on the boundary?
Answer:
is B
Step-by-step explanation:
this is the best possible answer
What is the slope of the line y = 3? O A. 3 O B. 1 O C. O O D. Undefined
Answer:
C
Step-by-step explanation:
The slope of a horizontal line, such as that of y= 3, is equal to 0.
This can be proved using the slope formula.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Let's choose 2 points on the line y= 3:
(0, 3) and (2, 3)
Slope
[tex] = \frac{3 - 3}{2 - 0} [/tex]
[tex] = \frac{0}{2} [/tex]
= 0
Thus, the line has a slope of zero.
On the other hand, vertical lines have an undefined slope.
Additional:
To learn more about horizontal lines and their slopes, do check out the following!
https://brainly.com/question/12528289What is true of an equilateral triangle? Two of its side lengths are equal. All its side lengths are equal. None of its side lengths are equal. None of its interior angles are equal. What is true of an equilateral triangle ? Two of its side lengths are equal . All its side lengths are equal . None of its side lengths are equal . None of its interior angles are equal .
Answer:
All its side lengths are equal
(and all the agle of 60°)
Step-by-step explanation:
What is true of an equilateral triangle? Two of its side lengths are equal. All its side lengths are equal. None of its side lengths are equal. None of its interior angles are equal. What is true of an equilateral triangle ? Two of its side lengths are equal . All its side lengths are equal . None of its side lengths are equal . None of its interior angles are equal .
Point P has coordinates P(-4, 3).
What are the coordinates of the image P" after I translate point P: 1
unit to the right 7 units down and then I reflect its image across the
y-axis?
The x-coordinate of P" is:
The y-coordinate of P" is:
I will give lots of points please help
Step-by-step explanation:
PART 1:
on the graph you can make a triangle at any point and with any angle measures.
i recommend a smaller right triangle to be easiest.
i recommend the points (0,3) A (3,0) B and (0,0) C
∆ABC angle measurements:
m∠CAB=45°
m∠ABC=45°
m∠ACB=90°
PART 2:
(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right
m∠FDE=45°
m∠DEF=45°
to find the missing value of the angle EFD we will use subtraction and addition
180-(45+45)
180-90
90
therefore, the m∠EFD=90°
PART 3:
both the angle measures and the shapes of the triangles are the same
PART 4:
i used a 1:1 ratio
sorry for the wait :)
Determine whether it is a function
Answer:
Relation 1: FunctionRelation 2: FunctionStep-by-step explanation:
A function is defined so that for each input, there is no more than one output.
100 points (08 03)Consider the following set of equations: Equation A: y = 2x + 4 Equation B: y = 3x + 1 Which of the following is a step that can be used to find the solution to the set of equations? 08 03 ) Consider the following set of equations : Equation A : y = 2x + 4 Equation B : y = 3x + 1 Which of the following is a step that can be used to find the solution to the set of equations ?
Answer:the equations are
y = x + 4 and y = 3x + 6
Now we can use substitution method to solve the system
So we can substitute value of y from one equation into other
So we get
x+4 = 3x+6
So Option B is correct
Step-by-step explanation:
Answer:
2x + 4 = 3x + 1
Explanation:
Equation A: y = 2x + 4
Equation B: y = 3x + 1
Simultaneously solving :
⇒ y = y
⇒ 2x + 4 = 3x + 1
⇒ 2x - 3x = 1 - 4
⇒ -x = -3
⇒ x = 3
Solve for y :
⇒ y = 2x + 4
⇒ y = 2(3) + 4
⇒ y = 10
Help asap please I need it
Answer: 8x+70
Step-by-step explanation:
[tex]\sum^{5}_{n=2} (2x+5n)=(2x+10)+(2x+15)+(2x+20)+(2x+25)=\boxed{8x+70}[/tex]
*
Which of the following are situations that can be modeled with a quadratic function? Select all that apply.
O
0
A tree decays 10% every six weeks.
The height of a diver after jumping from a high dive into the water.
The height of a ball rolled down a hill.
A gym charges $15 perfitness class.
An ant bocid eliminates 50% of bacteria every 24 hours
The height of a rocket after it is Bunched
Answer:
Option 2 and 5 are correct. Look down for my explanation↓:
Step-by-step explanation:
So We need to tell which one of them is quadratic function.
Option 1 is exponential decay so, it is not quadratic.
Option 2 is quadratic because the diver will take the parabolic shape when jumps.
Option 3 is not quadratic. Option 4 is not quadratic it is linear.
Option 4 is again exponential not quadratic.
Option 5 is quadratic because it takes the parabolic shape again.
Select the graph for the solution of the open sentence. Click until the correct graph appears.
3|x| > 6
I would really appreciate the help!:)
The solution of the inequality will be x > 2 and x < -2. And the graph is drawn below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
The inequality is given below.
3|x| > 6
By solving the equation, we have
|x| > 2
x > 2
x < -2
Then the graph will be drawn.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
A phone company offers a monthly cellular
phone plan for $25. The plan includes 250
anytime minutes, and charges $0.20 per minute
above 250 min. Write a piecewise-defined
function for C(x), the cost for using x minutes in
a month.
The function will be given as C(x) = 25 + 0.2(x) here x is in minutes.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Given that:-
A phone company offers a monthly cellular phone plan for $25. The plan includes 250 anytime minutes and charges $0.20 per minute above 250 min.The cost of the 250 minutes is $25 and if the time extends from 250 minutes then the function will be expressed in the form of.
C(x) = 25 + 0.2 (x)
Here C(x) is the total cost and the x is in minutes.
Hence the function will be given as C(x) = 25 + 0.2(x) here x is in minutes.
To know more about function follow
https://brainly.com/question/2833285
#SPJ1
Cost of 6 kg of rice is 540 what is the cost of 13 kg of rice.
Answer:
1170$Step-by-step explanation:
Cost of 6 kg of rice is 540 what is the cost of 13 kg of rice.
we can solve with an equation
6 : 540 = 13 : x
x = 540 * 13 : 6
x = 7020 : 6
x = 1170
--------------------------
check
6 : 540 = 13 : 1170
0.01111111111 = 0.01111111111
the answer is good
There are 250 students in a school and there are 120 more boys than girls. What percentage
of the students are boys?
if someone could please help that would be great!
Please graph it!!!
The graph is attached with the answer.
What are Piecewise Function ?When function has different behaviour at different intervals , then it is called a piecewise function.
It is given that
f(x) = - 3x -5 at x ≤ -1
f(x) = -2x +3 at -1 <x<4
f(x) = 2 at x ≥ 4
All the piecewise Function are a straight line.
The table for functions is
f(x) = 3x -5
-1 -8
-2 -11
-3 -14
f(x) = -2x +3
0 3
1 1
2 -1
3 -3
f(x) = 2
4 2
5 2
6 2
7 2
The graph is attached with the answer.
To know more about Piecewise Function
https://brainly.com/question/12561612
#SPJ1
Given a function described by the table below, what is y when x is 5?
XY
26
48
59
612
Answer:
y = x + 4
when x is 5, y is 9
Step-by-step explanation:
the pattern from the table is that the y value is 4 more than the x value, so the equation would be y = x + 4.
if you plug in x = 5, then this would be y = 5 + 4 = 9
PLS HELP ME WITH THIS PROBLEM
[tex]y=200(0.5)^2^t[/tex] is Decay
[tex]y=\frac{1}{2}(2.5)^\frac{t}{6}[/tex] is Growth
[tex]y=(0.65)^\frac{t}{4}[/tex] is Decay
Given the expression: 6x10 − 96x2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression 6x¹⁰ - 96x² can be written by factoring out the greatest common factor is 6x²(x⁸ - 16) and for a part, B expression can be simplified by applying identity.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
Part A)
= 6x¹⁰ - 96x²
= 6x²(x⁸ - 16)
Part B)
[tex]\rm =6x^2(\left(x^4\right)^2-4^2)[/tex]
[tex]\rm =6x^2(\left(x^4+4\right)\left(x^4-4\right))[/tex]
[tex]\rm =6x^2\left(x^2+2x+2\right)\left(x^2-2x+2\right)\left(x^2+2\right)\left(x^2-2\right)[/tex]
Thus, the expression 6x¹⁰ - 96x² can be written by factoring out the greatest common factor is 6x²(x⁸ - 16) and for a part, the B expression can be simplified by applying identity.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ1
The frequency table shows the results of a survey asking people how many
hours they spend online per week. On a piece of paper, draw a histogram to
represent the data. Then determine which answer choice matches the
histogram you drew.
Hours online Frequency
5
8
10
9
7
0-3
4-7
8-11
12-15
16-19
Based on the frequency table given, The option that closely matches the histogram I drew is option C but the last one suppose to be 7 and not 6.
What is the histogram about?Hours online Frequency
5 0-3
8 4-7
10 8-11
9 12-15
7 16-19
Note that in the image attached, you can see how the Hours online were said to be matched with the Frequency.
So since option A and B was not shown to see which matches the option, i can say option c is closest but if look at my own image, you can use it to find the right one.
Learn more about frequency from
https://brainly.com/question/254161
#SPJ1
Need the answer for number 3 please!!!!
Answer:
Perimeter = 2(l + b)
= 2(x + 5x³ + 4 - x²)
= 2x + 10x³ + 8 - 2x²
= 10x³ - 2x² + 2x + 8
Hence, ur answer is the first option.
Answer:
A.
Step-by-step explanation:
L = x
W = 5x³ + 4 - x²
P = 2L + 2W
P(x) = 2x + 2(5x³ + 4 - x²) = 2x + 10x³ + 8 - 2x²
P(x) 10x³ - 2x² + 2x + 8
L = x
W = 5x³ + 4 - x²
P= 2L + 2W
P(x) = 2x + 2(5x³ + 4 - x²) = 2x + 10x³ + 8 - 2x²
= P(x) 10x³ - 2x² + 2x + 8
(a) Solve the following formula for b.
1
A = ab
(b) Evaluate b when A= 18 and a =
6/5
1
(a) The formula A = ab solved for b is b = 3X
6
(b) Evaluate b when A= 18 and a = 5
b = (Type an integer or a simplified fraction.)
Answer:
a. b = 2A/a
b. 30
Step-by-step explanation:
a. to solve for b:
[tex]A = 1/2 ab[/tex]
multiply both sides by 2
[tex]2A = ab[/tex]
divide both sides by a
[tex]2A/a=b[/tex]
so b = 2A/a
b. using the equation b = 2A/a
[tex]b = 2*18/(6/5)\\= 36/(6/5)\\= 30[/tex]
The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.
The graph shows f of x equals x squared minus 2, which is an upward opening parabola with a vertex at 0 comma negative 2 and a point at negative 1 comma negative 1 and a point at 1 comma negative 1. The graph also shows g of x, which is a downward opening parabola with a vertex at 0 comma 5 and a point at negative 1 comma 4 and a point at 1 comma 4.
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x2 – 2
y ≥ –x2 + 5
We will need to shade the region above f(x) and the region below the function g(x)…
How to transform the graph into the solution set?We have:
f(x) = x² - 1
g(x) = -x² + 4
Both of these are already graphed, and we want to transform it into:
y > f(x)
y ≤ g(x)
The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x)…
For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve…
If you want to learn more about inequalities, you can read:
brainly.com/question/18881247
A medication states that the odds of having an allergic reaction are 2 in 200. What is that probability states as a percent?
