Answer:
d. P(x = 0) = .50
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. P(x < 2) = .9772
This is the p-value of Z = 2.
Looking at the z-table, Z = 2 has a p-value of 0.9772, and thus, this probability is correct.
b. P(x ≥ 1) = .1587
This is 1 subtracted by the p-value of Z = 1.
Looking at the z-table, Z = 1 has a p-value of 0.8413.
1 - 0.8413 = 0.1587, and so, this probability is correct.
c. P(x ≤ 1) = .8413
This is the p-value of Z = 1, that is, 0.8413, so this is correct.
d. P(x = 0) = .50
The probability of an exact value on the normal distribution is 0, and thus, option d is wrong and is the answer to this question.
distribute 48xy + 36x
Answer:
48xy+36x
=6x(8y+6)
Step-by-step explanation:
All sides of quadrilateral ABCD are tangent to circle P.
What is the perimeter of the quadrilateral below?
Answer:
44.4 units
Step-by-step explanation:
Recall: 2 tangents drawn from an external point from a circle are congruent
Perimeter of the quadrilateral = AB + BC + CD + AD
AB = 3.1 + 8 = 11.1
BC = 3.1 + 8 = 11.1
CD = 11.1 (given)
AD = 8 + 3.1 = 11.1
Perimeter = 11.1 + 11.1 + 11.1 + 11.1
= 44.4 units
Graph the image of this triangle after a dilation with a scale factor 1/2 centered origin
i dont know this questions
Does the equation y = 2(1/2)x represent exponential growth or decay
Answer:
Growth.
Step-by-step explanation:
y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.
Hope that this helps!
There are 10 students in a class. How many different ways can a teacher ask 3 students to complete tasks?
Answer:
518,400ways
Step-by-step explanation:
nPr=n/n-r
10P3=10/(10-3)
=10/7
=10x9x8x7x6x5x4x3x2x1/7
=3,628,800/7
=518,400 ways
There is a total of 120 ways by which a teacher can ask 3 students from 10 students to complete the task.
What is Binomial distribution?Statistics frequently employs the binomial distribution as a discrete distribution. When compared to a binomial distribution, the normal distribution is continuous.
The chance for 'x' success of an investigation in 'n' trials is represented by the binomial distribution.
As per the given data in the question,
Total number of students in the class = 10
So, the ways the teacher can ask 3 students to complete the task will be,
= ¹⁰C₃ = 10!/[3! (10 - 3)!]
= (10 × 9 × 8 × 7!)/[3! × 7!]
= 720 / 6
= 120 ways.
To know more about Binomial Distribution:
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Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=5x−x2 about the x-axis over the interval [0,5].
V=?
Find the perimeter of an
octagon with each side
measuring 9 cm.?
what is the volume of a rectangle prism that is 1 1/2 inches by 2 1/4 inches by 4 inches?
Answer:
13.5 inches
Step-by-step explanation:
11.5 x 2.25 x 4
I could be wrong
Answer:
13.5 inches is correct :)
Find the slope. Simplify completely.
Hello pls help plsss and thx!
Answer B
Distribute the 2
please help me with 1 to 4!! <33
if you meant to put a link there is none
Find the value of x. Write your answer in simplest form.
(Hypotenuse)² = (Base)²+ (Perpendicular)²
Taking, Hypotenuse As H
Base As B
Perpendicular As P
_________________________
Solving The QuestionH²= B²+ P²
[tex](9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9[/tex]
Hope This Helps You ❤️What is the area of the composite figure?
O 262 cm2
O 264 cm2
O 266 cm
O 268 cm2
5.
20 am
Answer:
B: 264 cm squared
Step-by-step explanation:
got it right
We can write the volume of the cylinder as 48π cubic feet.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is to find the area of the given composite figure.
It is given to find the area of the given composite figure. We can write the area of the figure as -
Area = Area of square + Area of trapezoid + Area of rectangle
Area = {side x side} + {1/2(a + b) x h} + {L x B}
Area = {10 x 10} + {1/2(14 + 8) x 4} + {20 x 6}
Area = 100 + 44 + 120
Area = 264 square centimeter
So, it can be concluded that the area of the figure is 264 square centimeter.
Therefore, we can write the the area of the figure is 264 square centimeter.
To solve more questions on areas, visit the link-
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Let u
(5, -12) and C =
3. What is cu?
39
39
51
21
Done -
Answer: [tex]||cu||=39[/tex]
Step-by-step explanation:
Given
[tex]u=<5,-12>[/tex] and [tex]c=-3[/tex]
[tex]cu[/tex] is a vector with 3 times the vector u in opposite direction
[tex]|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13[/tex]
[tex]\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39[/tex]
option (a) is correct.
In what place is the digit 1 in the number 607.912
hundreds
tens
tenths
hundredths
Answer:
tenths.........
Step-by-step explanation:
.....is the answer
I really need help on this any help ?!?!? Extra points!?
Answer:
circumference = 2πr
diameter = 3ft, so radius =3/2 =1.5
=2π ×1.5=3π= 9.42ft
Answer:
here diameter =3 ft
radius=diameter/2
=3/2
=1.5 ft
now use formula 2 pie r where pie =3.14
=2*3.14*1.5 ft
=9.42 ft
Step-by-step explanation:
Hope this helps u!!
PLEASE HELP) Use a table of values to graph the function ƒ(x) = –3|x|. Select the correct graph below.
Answer:
B
Step-by-step explanation:
To find the answer you can just input a number for x and then you should come up with a y-value.
The graph mentioned in option B is correct.
We have the the following function -
f(x) = -3 |x|
We have to select the correct graph from the given ones.
State the property Modulus.For a function f(x) = x, which is real in nature -
f(x) = |x| = [tex]\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.[/tex]
We will use this modulus property to solve the graph. We can further expand the function y = -3|x| as -
f(x) = -3|x| = [tex]\left \{ {{-3(-x)\;\;\;for\;x < 0} \atop {-3x\;\;\;for\;x > 0}} \right.[/tex]
For every negative value of x -
y = f(x) = 3x = negative value in a multiple of 3.
For every positive value of x -
y = f(x) = - 3x = negative value in a multiple of 3.
Hence, the graph mentioned in option B is correct.
To solve more questions on Modulus, visit the link below-
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PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
The volume of the pyramid is 126in^3
Step-by-step explanation:
To find the volume of a pyramid you need to use this formula which is
V=lw·h/3
V=9·6·7/3
V=54·7/3
V=126in^3
.pl.help meerrrrreeeeee
they are website explaining this so you can grasp I will share the link
What is the value of
CNIC
?
81
16
16
81
16
81
81
16
PLEASE HELP!!!!!!!!!
Answer:
10.5
Step-by-step explanation:
what is the length of the line segment CD with endpoints (-3,2) and (2,2) as shown on the coordinate plane?
A 2 units
B 3 units
C 4 units
D 5 units
Answer:
Solution given:
(x1,y1)=(-3,2)
(x2,y2)=(2,2)
length[d]=?
we have
d=[tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]
=[tex] \sqrt{(2+3)²+(2-2)²} [/tex]
=[tex] \sqrt{5²} [/tex]
=5units
D 5 units is a right answer.
By the age of 2 a child is about 50% of his adult height how tall was a two year old who's adult height is 6 feet and 2 inches
Answer:
3 ft 1 in
Step-by-step explanation:
6 ft 2 inches comes to 74 inches.
50% of that is 37 inches, or 3 ft 1 in
help please..............
Answer:
19.4 in.
Step-by-step explanation:
The two angles are supplementary. One angle is 65 degrees. What is the degree of the other angle? solution only input the number. *
Answer:
115
Step-by-step explanation:
supplementary angles add up to equal 180
That being said we can find an angles supplement by subtracting the measure of the given angle from 180
Thus, answer = 180 - 65
180 - 65 = 115
FINDING PERIMETER need help right now
Answer:
if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.
Jenny's mom is 33 years old. What percent of Jenny's mother's age Is Jenny's great-grandmother's age 90?
Answer:
answer: 36.67
Hope that helps!
Answer:
[tex]36\frac{2}{3}[/tex] %
Step-by-step explanation:
[tex]\frac{33}{90}: \frac{y}{100}[/tex]
y · 90 = 33 · 100
90y = 3300
90y ÷ 90 = 3300 ÷ 90
[tex]y=36\frac{2}{3}%[/tex]
-7 2/3 + ( - 5 1/2) + 8 3/4 =
Answer:
-53/12
Step-by-step explanation:
-7 2/3=-23/3
-5 1/2=-11/2
8 3/4=35/4
----------------
-23/3+(-11/2)+35/4
-23/3-11/2+35/4
-92/12-66/12+105/12
-53/12
Answer:
- 4 5/12
Step-by-step explanation:
- 7 2/3 + (-5 1/2) + 8 3/4
-7 2/3 - 5 1/2 + 8 3/4
-7 4/6 - 5 3/6 + 8 3/4
-13 1/6 + 8 3/4
-13 2/12 + 8 9/12 = -4 5/12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
the percent of fat calories that a person in america consumes each day is normally disributed with a mean of about 36 and a standard deviation of about ten. suppose that 16 indivduals are randomly chosen. true or false: the random variable is defined as the average percent of fat caories consumed each day by a person in america.
Answer:
True
Step-by-step explanation:
Given that
The mean is 36
And, the standard deviation is 10
We take the sample of 16 individuals and the same would be randomly chosen
We need to find out that whether the given statement is true or false
So,
The given statement is true as the random variable means the average percent that could be consumed each day by a person
Plz help me well mark brainliest if you are correct!!...
yes, between -1 and 0
Answer:
-4 and -3
Step-by-step explanation:
because -2/3 of- 5 is -3.5 so in between -4 and -3 is -3.5
Please help
NO LINKS!
24 on the left, 20 on top, 14 on right and bottom.
Answer:
Volume:
First lets find the height of the triangle:
14 divided by 2 = 7
7 is now your base since we split it apart into two right triangles.
24^2 + 7^2 = 625
625: 25^2 = 225 perfect!
25 is now your height:
25 x 14 = 350, 350 divided by 2 (x 1/2) = 175(area of triangle)
175(area of triangle) x 20(width) = 2100, around 3500 m^3