What is the probability of the following
1. P (0< z < 1.46)?
Answer:
Approximately [tex]0.428[/tex].
Step-by-step explanation:
(This approach requires looking up values on a [tex]z[/tex]-table. Calculators aren't required.)
A typical [tex]z[/tex]-table lists probabilities in the form [tex]P(Z \le z)[/tex] (or equivalently, [tex]P(Z < z)[/tex],) where [tex]z\![/tex] is real number (typically greater than or equal to [tex]0[/tex].)
However, the question asks for a probability in the form [tex]P(a < Z < b)[/tex]. It would be necessary to rewrite this probability for this [tex]\!z[/tex]-table approach to work.
Let [tex]a[/tex] and [tex]b[/tex] denote two real numbers, with [tex]b > a[/tex]. [tex]P(a < Z < b)[/tex] would be equal to [tex]P(Z < b) - P(Z < a)[/tex]. In this question:
[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \end{aligned}[/tex].
Look up the value of [tex]P(Z < 1.46)[/tex] on a [tex]z[/tex]-table: [tex]P(Z < 1.46) \approx 0.927855[/tex].
On the other hand, [tex]P(Z < 0) = 0.5[/tex] because the Gaussian distribution is symmetric.
Therefore:
[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \\ &\approx 0.927855 - 0.5 \\ &\approx 0.428\end{aligned}[/tex].
50 POINTS PLEASE HELP!!! Use the formula Circumference = 2nr, where r is the radius and a is 3. 14, to answer the question.
3.0 cm
What is the approximate circumference of the circle?
A 6.00 cm
B. 9.42 cm
C 18.84 cm
D 37.68 cm
Answer:
This one is easy I did this one before its A
Answer:
the answer is c
you times the radius with the 2 and the pi
If P = (3,2), find the image
of P under the following rotation.
270° counterclockwise about the origin
([?], [])
Given:
The point P = (3,2) is rotated 270° counterclockwise about the origin.
To find:
The image of the given point after rotation.
Solution:
If a point rotated 270° counterclockwise about the origin, then the rule of rotation is:
[tex](x,y)\to (y,-x)[/tex]
Using this rule, we get
[tex]P(3,2)\to P'(2,-3)[/tex]
Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).
M=2 and (-2,4) write the equation of a line in slope intercept form
Answer:
y=2x+8
Step-by-step explanation:
y-y1=m(x-x1)
y-4=2(x-(-2))
y-4=2(x+2)
y=2x+4+4
y=2x+8
please give answer and ill give brainliest
Answer:
42.5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
you add both top and bottom which is 17 then divide 17 ÷2 which is 8.5 and then multiply by 5 which gives you 42.5 m
Somebody Please help!!!
Answer:
Slope, m = -8
Step-by-step explanation:
Given the following data;
Points on x-axis (x1, x2) = (2, 3)
Points on y-axis (y1, y2) = (5, -3)
To find the slope, m;
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {-3 - 5}{3 - 2} [/tex]
[tex] Slope, m = \frac {-8}{1} [/tex]
Slope, m = -8/1
Slope, m = -8
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?
A store applies a 120% markup to an item and sells it for $80.08. What was the value of the item before the markup was added?
Answer:
66.7333
Step-by-step explanation:
if 120 =80.08 what about 100
100×80.08÷120
=66.733
Which of the following is not equivalent to 10 divided by 80
10/80
80/10
80 divided by 10
8
The given graph represents the function f(x) = 2(5)^x
[tex]f(x) = 2( {5})^{x} [/tex]
How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0
a) the graph will increase at a slower rate
b) the graph will show a decreasing, rather than increasing, function
c) the graph will show an initial value that is lower on the y-axis
d) the graph will increase at a constant additive rate, rather than a multiplicative rate
Answer:
C
Step-by-step explanation:
in exponential equations f(x)=ab^x , a is the intial amount while b is the growth factor. you are just decreasing a so the intial value is lower (=^w^=)
Answer:
Step-by-step explanation:C
Can somebody help me please I will mark u brilliant
Answer: The volume is 1/12 cubic foot.
Step-by-step explanation:
V= l*w*h
V= 1 1/2* 1/6*1/3
V= 1/12
someone please help me answer this
Answer:
a = 57 mm is the answer.
Step-by-step explanation:
a = ?
b = 76 mm
c = 95 mm
According to the Pythagoras theorem,
a² + b² = c²
a² + 76² = 95²
a² + 5776 = 9025
a² = 9025 - 5776
a² = 3249
a = 57 mm
∴ a = 57 mm is the length of the missing leg.
Answer:
57 mm
Step-by-step explanation:
To solve for a, we can use the Pythagorean Theorem.
a² + b² = c²
We have to solve for a, and we are given values for b and c, c being the hypotenuse.
This is what we know-
a² + 76² = 95²
We can simplify this to-
a² + 5776 = 9025
To solve for a, we have to isolate the variable on on side of the equals sign. So, we can subtract 5776 from both sides.
a² + 5776 - 5776 = 9025 - 5776
Simplify.
a² = 3249
Finally, to solve for a, find the square root of a².
[tex]\sqrt{3249^{2}[/tex] = 57
So, a = 57 mm
I hope this is helpful :) Good luck ^^
Point (4,-5) is mapped onto
when rotated 90° clockwise about the origin.
OA) (-5,-4)
B) (5, 4)
C) (5,-4)
OD) (-5,4)
Answer:
(-5, -4)
Step-by-step explanation:
I got it correct and that is right
Uhhhhh.....help is needed.
Answer:
D.
Step-by-step explanation:
Look for the closed circle with the arrow pointing to the right on this one.
Decide whether the statement is true or false.
{2, 15, 6} U Ø = {2. 15, 6)
Answer:
False
Step-by-step explanation:
If y= 1/2x and x = -14 find y
Answer:
y = -7
Step-by-step explanation:
y = 1/2x
x = -14 (given)
y = 1/2 × (-14)
= -7
Answer:
y= -7
Step-by-step explanation:
Just plug -14 in for x to calculate y
y=1/2(-14)= -7
Between which set of ordered pairs is the distance the least?
(-1, -5) and (-1, -9)
(4, -7) and (2, -7)
(-5, 2) and (-2, 2)
(1, 9) and (6, 9)
Answer:#1
Step-by-step explanation:
Choosing Solutions plz help me no links
Answer:
b, c, d, e
Step-by-step explanation:
Which side lengths form a right triangle?
Answer:
About anything that adds up to 90...
Step-by-step explanation:
Eva's mother will add $5 to all other
donations that she collects for the school
fund drive.
Let a = all other donations.
Let t = total donations.
Graph t = a + 5.
Answer:
hope it helps you...
The points of the graph are (10,15)(20,25)(5,5)
Step-by-step explanation:
What is the greatest common divisor of 48 and 42?
Answer:
B. 6
Step-by-step explanation:
It's difficult to explain, but from the answer I got is 6
as the greatest common divisor of 48 and 42.
a percent of
Yidosol 3,3,200
are
7
boys. What percent of the class are boys?
In a class where the number of girls is 36% of the total number, there are 48
boys. How many students are there in the class?
Challenge Problems
8. The total attendance at aconcert in a theater hall was 1500, of this total 400
children, 850 were women, and the remaning were men. Find the
were
percent of the total attendance represented by:
a. Children
b. Women
c. Men
. The base is one greater than the amount. If the percentage is 93.75, then fin
the amount and the base.
10. Hiwot has Birr 46,000 in her account. If she plans to invest 26% of
saving in establishing a kindergarten, find the
int required
Answer:
aeafscgefgdderhgdthdg
Khan academy pls help. Pls and thx!!!
Step-by-step explanation:
the energy the model will output in 10 years
10(2M+3S)
which of the following is a factor of 18? a)3 b)4 c)30 d)60
Answer:
A) 3
-------------
Answer:
3
Step-by-step explanation:
because 18/3 = 6
or 6 x 3 = 18
so it is a factor of 18
Can someone please help me with this
Answer:ok
Step-by-step explanation:
does anyone know this?
Answer:
v = u = 75.8
Step-by-step explanation:
If a figure has elght vertices and 12 edges, how many faces does it have? 10
8
6
4
Answer:
It would have 6 faces
Step-by-step explanation:
In any convex polyhedron:
let v be the number vertices , e is the number of edges and f is the number of faces then;
....[1]
As per the statement:
If a figure has eight vertices and 12 edges
⇒v = 8 and e = 12
Substitute in [1] to solve for f, we have;
⇒
Subtract 6 from both sides we have;
f = 6
11 out of the 22 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?
Answer:
50% of the employees work part time.
Step-by-step explanation:
11/22=0.5
0.5 *100=50
Which trigonometric function is an odd function and why?
Answer:
Last one D.
Step-by-step explanation:
Just remember x, f(–x) = –f(x).
1. Gina saved 3,000 in an account that offered 3.8% simple interest for 240 days. Find the accumulated amount using ordinary simple interest. (3076)
Answer:
3,114 in 240 days
Step-by-step explanation:
3000 x 0.038=114
114+3000=3114