Answers
Answer:
a)
mean of the Standard normal distribution is μ = 0
Standard deviation of the Standard normal distribution σ = 1
b) P( Z < 1.96) = 0.9744
c)
P( - 0.41 < Z) = 0.6591
d) h = 0.3
Step-by-step explanation:
Step(i):-
a)
Given X be a continuous random variable in Normal distribution
The Normal distribution for μ = 0 and σ = 1 is known as Standard normal distribution
mean of the Standard normal distribution is μ = 0
Standard deviation of the Standard normal distribution σ = 1
b)
P( Z < 1.96) = 0.5 + A(1.96)
= 0.5 + 0.4744
= 0.9744
P( Z < 1.96) = 0.9744
c)
P( - 0.41 < Z) = P(Z > -0.41)
= 0.5 +A(-0.41) (∵ A(-0.41) = A(0.41)
= 0.5 + 0.1591
= 0.6591
P( - 0.41 < Z) = 0.6591
d)i) If h >0
P( z < h) = 0.20
⇒ 0.5 +A(z) = 0.20
⇒ A(Z) = 0.20 - 0.5
⇒ A(Z) = - 0.3
h = -0.3
if h < 0
P( z < h) = 0.20
⇒ 0.5 -A(z) = 0.20
⇒ A(Z) =0.5 - 0.2
⇒ A(Z) = 0.3
h = 0.3
Related Questions
Find the missing length indicated
Answers
Answer:
x = 25.
Step-by-step explanation:
Since the side of the triangle that is labeled as 60 units bisects the right angle of the largest triangle, we can say that the smallest triangle, medium triangle, and largest triangle are all similar.
Since the smaller length of the middle triangle corresponds to x, and the longer length of the middle triangle (144) corresponds to the longer length of the smaller triangle (60), we can set up a proportion!
[tex]\frac{x}{60} =\frac{60}{144}[/tex]
144 * x = 60 * 60
144x = 3600
2x = 50
x = 25
Hope this helps!
When graphed, which parabola opens downward?
Answers
Answer:
A
Step-by-step explanation:
Edge 2020
What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma five and turning at the point two comma one and contin Courtesy of Texas Instruments (2 points) y = (x - 2)2 + 1 y = (x - 1)2 + 2 y = (x + 2)2 + 1 y = (x + 2)2-1
Answers
Answer:
y = (x - 2)² + 1
Step-by-step explanation:
Gnerela equation of a parabola in vertex form:
y = a(x - h)² + k
where (h, k) is the vertex
From the description of the graph:
the parabola passes through (0,5)the parabola has a vertex at (2,1)Replacing into the general equation:
y = a(x - 2)² + 1
5 = a(0 - 2)² + 1
5 - 1 = a*4
4/4 = a
1 = a
Then, the equation is: y = (x - 2)² + 1
Answer:
The correct answer is A, "y = (x - 2)² + 1"
Step-by-step explanation:
I just completed the test and got full credit using this option.
Identify the surface area of the composite figure in terms of π.
Answers
Answer:
78π m²
Step-by-step explanation:
The lateral area of the cylinder is ...
LA = 2πrh
LA = 2π(3 m)(8 m) = 48π m²
The lateral area of one cone is ...
LA = πrh . . . . where h is the slant height
LA = π(3 m)(5 m) = 15π m²
Then the total surface area of the figure is the area of the two cones plus that of the cylinder:
S = 2(cone area) + cylinder area
S = 2(15π m²) +(48π m²)
S = 78π m²
I will give you all ⭐⭐⭐⭐⭐ Try to zoom in or flip your phone to see better.
Answers
Answer:
The correct option is:
x+y = 2
Step-by-step explanation:
Street 1 is given.
If Street 2 is parallel to Street 1, then they will have the same slope.
Find slope of Street 1:
Take any 2 points on Street 1. Consider (-2,3) and (1,0)
Slope is given by:
m = (y₂ - y₁) / (x₂ - x₁)
m = 0-3 / 1-(-2)
m = -3/3
m = -1
For Street 2:
y = mx + c
y = -1x +c
As it passes through (-2,4), substitute the point in the above equation:
4 = -1(-2) + c
c = 2
So substitute m = -1 and c =2 into general form of equation:
y = mx + c
y = -x + 2
or
x+y = 2
A rectangular wall has length 3 less than 4 times the width . I wish to put a silver line along the corners of the wall. The lining costs 25 cents per foot and I spent a total of $18.50 for the lining on the corners of the wall. If painting costs 20 cents per square foot , how much dose it cost to paint the wall? PLEASE ANSWER correctly. I WILL GIVE BRAINLIEST ANSWER TO U IF U DO
Answers
Answer:
Step-by-step explanation:
Let width = w units
Length = 4w - 3
Cost for lining corners of wall = $ 18.50
Perimeter of the wall = 18.50/0.25 = 74 ft
2*(length +width ) = 74
2*(4w - 3 + w) =74
2*(5w - 3) =74
10w - 6 = 74 {Add 6 to both sides}
10w - 6 + 6 = 74 + 6
10w = 80
Divide both sides by 10
10w/10 = 80/10
w = 8 ft
Length = 4w - 3 = 4*8 - 3 = 32 - 3
Length = 29 ft
Area of the wall = length * width
= 29 * 8
= 232 square ft
Cost of painting the wall per square feet = 20 cents = 0.20
Cost of painting 232 square feet = 232 * 0.20
= $ 46.40
A department store stocks pants and shorts in the colors black and blue. The relative frequency of their orders for blue pants is half the relative frequency of their orders for black shorts. Which two-way frequency table could represent the data from the store's orders?
Answers
Answer:
Table 2
Step-by-step explanation:
The question is to identify the table where the relative frequency of orders for blue pants is half the relative frequency of their orders for black shorts.
We are interested in the number of blue pants and black shorts.
If we name them as p and b respectively, then we are looking for a table where s/p=2
Let's verify relevant data in all tables:
Table 1:
p= 82, s= 41 ⇒ s/p= 41/82 ≠ 2, no, not this oneTable 2:
p= 57, s= 114 ⇒ s/p= 114/57 = 2, yes, it is the oneTable 3:
p= 78, s= 110 ⇒ s/p= 110/78 ≠ 2, no, not this oneTable 4:
p= 44, s= 150 ⇒ s/p= 150/44 ≠ 2, no, not this oneSo only one of tables- the second one from top represents the required data.
Answer:
The second table
Step-by-step explanation:
I did the test.
The first jumbo jet was the Boeing 747, which is 70.5 meters long. The wingspan of the 747 is 60 meters. A model 747 has a wingspan of 80 centimeters. What should the length of the model be? tell your work.
Answers
Answer: The correct answer is 94 cm.
Step-by-step explanation:
wingspan length
60 meters 70.5 m
----------------- = ----------------
80 cm x
Cross multiply
(60 m)x = (70.5 m)(80 cm)
Solve for x by dividing both sides of equation by 60 m:
x = (70.5 m)(80 cm) / (60 m) = 94 cm
The length of the model is 94 cm.
Answer:
94 cm
Step-by-step explanation:
Write and solve an equation of ratios:
70.5 m 60 m
----------- = -----------
L 80 cm
Cross multiplying, we get:
(70.5 m)(80 cm) = (60 m)L
(70.5 m)(80 cm)
Then the model length, L, should be L = -------------------------
60 m
or
L = 94 cm
If the function m(x) has the point (5, 2) on its graph name a point that would be on the function m(5x). (10, 2) (5, 10) (25, 2) (1, 2)
Answers
Answer:
(1, 2)
Step-by-step explanation:
The function m(x) has the point (5, 2) on its graph is equivalent to say that m(x) evaluated at x = 5 gives 2 as result, that is, m(5) = 2.
f(kx) transforms point (x, y) into (x/k, y). Therefore: m(5x) transforms point (5, 2) into (5/5, 2) or (1, 2).
10 ft
8 ft
D
Hint: Circumference
of a circle: C = rid
Find the perimeter of this figure to the
nearest hundredth. Use 3.14 to
approximate n.
P = [?] ft
Notice that only half of the circle is included in the figure!
Enter
Answers
Answer:
The perimeter of given figure = 56.56 ft
Step-by-step explanation:
Step(i):-
From diagram
The length of the rectangle = 10 ft
The width of the rectangle = 8 ft
Perimeter of the rectangle
= 2 ( l+w)
= 2 ( 10 + 8)
= 2 × 18
= 36
Step(ii):-
The semi circle is included in the given diagram
Now we will find the perimeter of semicircle
We know that
perimeter of the circle
p = 2πr + d
perimeter of the semicircle
[tex]P = \frac{1}{2} 2\pi r + d[/tex]
P = πr + 2 r (∵ d = 2 r)
Step(iii):-
From diagram the diameter of semicircle is equal to the width of the rectangle
d = 8
d = 2 r = 8
The radius of the circle 'r' = 4
perimeter of the semicircle
P = πr + 2 r
P = 3.14 ( 4) + 8
P= 20.56
Conclusion:-
The perimeter of given figure
= perimeter of rectangle + perimeter of semicircle
= 36 + 20.56
=56.56 ft
Which graph shows the system of equations 4 x + y = 3 and 2 x minus 3 y = 3? On a coordinate plane, a line goes through (0, negative 1) and (3, 1) and another line goes through (0, 3) and (1, negative 1). On a coordinate plane, a line goes through (0, 3) and (1, negative 1) and another line goes through (0, negative 3) and (3, negative 1). On a coordinate plane, a line goes through (0, 3) and (negative 1, negative 1) and another line goes through (0, negative 3) and (3, negative 1). On a coordinate plane, a line goes through (0, 3) and (negative 1, negative 1) and another line goes through (0, negative 1) and (3, 1).
Answers
Answer:
A is the correct answer
Step-by-step explanation:
Graph (A) represents the system of equations 4x + y = 3 and 2x - 3y = 3 option (A) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The system of equations
4x + y = 3 and
2x - 3y = 3
In the first line, the slope is -4, and the y-intercept at (0,3)
In the second line, the slope is 2/3, and the y-intercept at (0,-1)
Thus, graph (A) represents the system of equations 4x + y = 3 and 2x - 3y = 3 option (A) is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
How can this same solution be written using set builder notation? {x | x > }?
Answers
Corrected Question
The solution to an inequality is represented by the number line. How can this same solution be written using set-builder notation? {x | x > }
Answer:
[tex]\{x | x >3 \}[/tex]
Step-by-step explanation:
Given an inequality whose solution is represented by the number line attached below.
We observe the following from the number line
There is an open circle at 3, therefore the solution set does not include 3. (We make use of > or < in cases like that)
The arrow is pointed towards the right. All points to the right of 3 are greater than 3, therefore:
The solution in the number line can be written using set-builder notation as:
[tex]\{x | x >3 \}[/tex]
Find the factors of the polynomial 45 x2 - 20 y2
Answers
Answer:
The factors of the polynomial are 5, ( 3x - 2y), and (3x + 2y)
Step-by-step explanation:
The given polynomial is 45x² - 20y²
45x² - 20y² = 5 (9x² - 4y²)
45x² - 20y² = 5 [ (3x)² - (2y)² ]
Using difference of two squares, (3x)² - (2y)² = ( 3x - 2y)(3x + 2y)
45x² - 20y² = 5 ( 3x - 2y) (3x + 2y)
The factors of the polynomial are 5, ( 3x - 2y), and (3x + 2y)
Answer:
5(3x - 2)(3x + 2)
Step-by-step explanation:
Please indicate exponentiation with " ^ " : 45 x^2 - 20 y^2.
Identify the GCF and factor it out: 5(9x^2 - 4y^2)
Recognize that (9x^2 - 4y^2) is the difference of two squares, which factors into (3x - 2y)(3x + 2y)
Then 45 x^2 - 20 y^2 = 5(3x - 2)(3x + 2)
Which ordered pairs are solutions to the inequality –2x+y>-4?
Select each correct answer.
(3, -1)
0 (-1, 1)
(0, -5)
(1, - 2)
0 (0,1)
Answers
Answer:
answer is (0,1)
Step-by-step explanation:
check
by substituting x=0 and y=1 in the equation above
- 2(0)+1> -4
1> -4
Thereby (0,1) is the required solution to the inequality
What is the ratio of 76,000 and 100,000
Answers
Answer:
19 : 25
Step-by-step explanation:
I will give brainliest to simplest explanation! There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?
Answers
Answer:
117,600 ways
Step-by-step explanation:
This problem can be solved using fundamental principle of counting , according to which , if there are m different things and n different things,
then there m*n ways to combine.
Example: if there 5 shirts and 3 ties,
then number of ways in which different combination shirt and tie can be worn is
5*3 = 15 ways.
____________________________________
In the problem,\
number of states is 50,
let those states be
A1, A2, A3, A4 ......A50
in each state there are 2 senate
Condition
3-Senator committee in which no two members are from the same state.
then
first member can be chosen from any of the 50 state,
hence first member can be chosen in 50 ways
for simplicity lets take state A1, you can choose any one you wish
second member cannot be from state A1, then number of state left = 49
second member can be chosen from any of 49 state left
hence second member can be chosen in 49 ways
for simplicity lets take state A2,
Third member cannot be from state A1 and A2, then number of state left = 48
Third member can be chosen from any of 48 state left
hence Third member can be chosen in 48 ways
for simplicity lets take state A3,
Hence no. of ways of choosing 3-Senator committee be formed such that no two Senators are from the same state = 50*49*48 = 117,600 ways
PLEASE HELP Order these numbers from least to greatest. 2 1/10, 61/10, 3.122, 3.19
Answers
Answer: 2 1/10, 3.122, 3.19, 61/10
Step-by-step explanation:
Let's first turn each number into decimal form: (1/10=.1, 2/10=.2,etc.)
2.1, 6.1, 3.122, 3.19. Obviously, the smallest number is 2.1, because it has a 2 in the ones place. Next, we see a tie in the ones place between 3.122 and 3.19. Then we look at the tenths place and see another tie. Then, at the hundredths place, we see that 3.19 is greater that 3.122. Thus, the order of the numbers is 2.1,3.122,3.19,6.1.
Hope it helps <3
The table represents a linear function. What is the slope of the function?
Answers
Answer:
The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run
Step-by-step explanation:
:)
Can someone please help with this maths
Answers
Hey there! :)
Answer:
C. (0, 5)
Step-by-step explanation:
Where the equation crosses the y axis is known as the y-intercept.
In the equation y = mx + b, the b value represents the y-intercept where x = 0. Therefore:
Rearrange the equation pictured:
y = 5 - 3x --> y = -3x + 5
The b value in this equation is 5, so
The y-intercept of this equation is (0, 5).
Answer:
(0,5)Option C is the correct option.
Here,
y=5-3xWhen X=0
y= 5-3*0
= 5-0
=5
x=0
y=5
Hope this helps...
Good luck on your assignment..
What is the domain of F(x) = x?
Answers
Answer:
All real numbers
Step-by-step explanation:
The equation F(x)=x is an identity function. If you plot this on a graph, you notice that it is a diagonal line that always passes through (0,0), making the domain all real numbers.
How are rational functions similar to linear, quadratic, or exponential functions? How are they different? When are these similarities or differences important when looking for intersections between rational functions and other types of functions? Be sure to cite examples as you explain your ideas.
Answers
Answer:
See explanation below for further details.
Step-by-step explanation:
A rational consist of two real numbers such that:
[tex]\frac{a}{b} =c[/tex]
If c is a polynomial with a certain grade, then, both the numerator and the denominator must be also polynomials and the grade of the numerator must be greater than denominator.
If c is linear function, that is, a first order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.
Example:
If [tex]a = x^{2}[/tex] and [tex]b = x[/tex], then:
[tex]c = \frac{x^{2}}{x}[/tex]
[tex]c = x[/tex]
If c is a quadratic function, that is, a second order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.
Example
If [tex]a = 3\cdot x^{3}[/tex] and [tex]b = x[/tex], then:
[tex]c = \frac{3\cdot x^{3}}{x}[/tex]
[tex]c = 3\cdot x^{2}[/tex]
But if c is an exponential, both the numerator and the denominator must be therefore exponential function and grade of each exponential function must different to the other.
Example
If [tex]a = 10^{2x}[/tex] and [tex]b = 3\cdot 10^x[/tex], then:
[tex]c = \frac{10^{2\cdot x}}{3\cdot 10^{x}}[/tex]
[tex]c = \frac{1}{3}\cdot 10^{2\cdot x -x}[/tex]
[tex]c = \frac{1}{3}\cdot 10^x[/tex]
Otherwise, c would be equal to a constant function, that is, a polynomial with a grade 0.
If [tex]a = 5\cdot e^{x}[/tex] and [tex]b = -3\cdot e^{x}[/tex], then:
Example
[tex]c = \frac{5\cdot e^{x}}{-3\cdot e^{x}}[/tex]
[tex]c = -\frac{5}{3}[/tex]
It is worth to add that exponential functions can be a linear combination of single exponential function, similar to polynomials.
Example
[tex]5\cdot a^2\cdot x -9[/tex]
* DIFFICULT QUESTION , PLS ANSWER * Write an equation for the circle whose graph is shown.
Answers
Answer:
D
Step-by-step explanation:
The formula of a circle is [tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where the vertex is (h,k).
The vertex is (4,-2) and the radius is 5, so substitute the numbers in and you get the solution.
Answer:
D
Step-by-step explanation:
Find the number of 4-digit numbers that contain exactly two even and two odd digits.
Answers
Answer:
2,435
Step-by-step explanation:
find two even and two odd
Trying to find the missing segment to the triangle in the attached image.
Answers
Answer:
25
Step-by-step explanation:
The Side Splitter Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally. Therefore:
6/15 = 10/?
6*? = 10*15
? = 10*15/6
? = 25
PLS HELPPPP MEEEE!!!
Answers
Answer:
No
Step-by-step explanation:
We have to check if 3/5 = 6/25. If we convert 3/5 into a fraction with denominator of 25 so that we can compare the two we get 15/25 and this is clearly not equal to 6/25. Therefore, the answer is no.
Given the figure below, find the values of x and z.
Answers
Answer:
X= 6°z= 112°Solution,
Finding the value of X,
[tex]11x + 2 = 68[/tex]
( being vertically opposite angles)
[tex]11x = 68 - 2 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = 6[/tex]
Value of X is 6
Now, finding the value of z
[tex]z + 68 = 180[/tex]
(sum of angle in linear pair)
[tex]z = 180 - 68 \\ z = 112[/tex]
Value of z is 112.
Hope this helps....
Good luck on your assignment...
explanation:
From the equation, find the axis of symmetry of the parabola.
y = 4x+ 32x+ 61
a. x= 3
x=-4
C.
b. X= 4
d. X=-3
Answers
Find the area of the composite figure in square mm. Round your answer to the nearest square milimeter. (Enter only a number as your answer.)
Answers
Answer:
157+364= 521 square mm
Step-by-step explanation:
Area of 1/2 circle = 1/2 pi r-squared = 1/2x10x10x3.14 = 157 square mm
Area of trapezoid = (a+b)/2xh = (20+32)/2 x 14 = 364 square mm
157+364= 521 square mm
PLS give answer ASAP
Answers
Answer: 3.5 pi.
Step-by-step explanation: Since we know the circumference formula of a circle is 2*pi*radius, we just have to substitute 7 in there, and divide by 4. So here ya go, 3.5 pi.
i hope i’m right if i’m wrong i apologize
plz help, I need it asap
Answers
Answer:
see below
Step-by-step explanation:
15+2x> 31
Subtract 15 from each side
2x > 16
Divide by 2
2x/2 > 16/2
x > 8
There is an open circle at 8
The line goes to the right