Answer:
[tex]X ≤ P(119) \rightarrow P(X < 119.5)[/tex]
Step-by-step explanation:
Given:
n = 504
p = 0.27
To Approximate:
P(x≤119) usimg normal distribution
Solution:
We know that,
[tex]p+q = 1\\q = 1-p\\q = 1 - 0.27 \\ \fbox{q = 0.73}[/tex]
let's find the mean,
[tex]n \cdot p = 500 \times 0.27 \\ n \cdot p = 135 \\ \mu \: = 135[/tex]
let's calculate standard deviation,
[tex] \sigma = \: \sqrt {n \cdot p\cdot q} \\ \sigma \: = \sqrt{504 \times 0.27 \times 0.73} \\ \sigma \: = 9.96[/tex]
Rewriting the equation using continuity correction,
[tex] P(X ≤ n) \rightarrow P(X < n + 0.5) \\ P(X ≤ 119) \rightarrow P(X < 119 + 0.5) \\ P(X ≤ 119) \rightarrow P(X < 119.5) \\ \fbox{x \: = 119.5}[/tex]
Some more things you must need to know,
standard score is an important part of statistics,
can be derived using formula
[tex]Z = \frac{ x - \mu}{ \sigma} \\ Z = \frac{ 119.5 - 135}{ 9.96} \\ Z= \frac{-15.5}{9.96} \\ \fbox{Z= -1.55}[/tex]
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if 1/5 of 100 oranges is given to Ade and 1/4 of the remaining orange is given to Hardy what fraction of the orange is left
Answer:
3/5
Step-by-step explanation:
5/5 - 1/5 = 4/5
4/5 × 4/4 = 16/20
16/20 - 4/20 (1/4) = 12/20
12/20=3/5
I think this is right
The remaining fraction of oranges left is A = 3/5 of the total oranges
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the remaining fraction of oranges be A
And , if 1/5 of 100 oranges is given to Ade, then Ade gets:
1/5 * 100 = 20 oranges
The remaining oranges are:
100 - 20 = 80 oranges
Now , if 1/4 of the remaining oranges is given to Hardy, then Hardy gets:
1/4 * 80 = 20 oranges
So the total number of oranges given away is:
20 (Ade) + 20 (Hardy) = 40 oranges
The fraction of the oranges that is left is:
(100 - 40) / 100 = 60 / 100 = 3/5
Hence , 3/5 of the oranges are left
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if8 kg of sugar cost Php 320.00 how much would 5kg of sugar cost?
Answer:
php.200.00
Step-by-step explanation:
if 8kg is 320 what about 5kg therefore it will be 5kg × 320 ÷8 kg which will give you php 200
the ans is 200
Answer:
Php 200.00
Step-by-step explanation:
Given :
8 kg of sugar costs Php 320.00Unit rate
Total cost (Php) / Total amount of sugar (kg)320.00 / 8 Php 40.00 per 1 kg5 kg of sugar
5 x Unit rate5 x 40Php 200.008r^2(r^2-2) polynomial I’m standard form expand
Answer:
8r^4 -16r^2
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Write the result in order of decreasing powers of the variable.
__
8r^2(r^2 -2) = (8r^2)(r^2) +(8r^2)(-2)
= 8r^4 -16r^2
Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)
Here we would be using distance formula to calculate the distance between those two points.
Points are,
(-8,3) (-2,5)★ Distance Formula :
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]We have :
x1 = -8 x2 = -2 y1 = 3 y2 = -5Substituting the values :
Refer the attachment.Additional Information :Centroid of a triangle :-
[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]Help picture below problem 20
Answer:
it's.. parallelogram..
Step-by-step explanation:
mark me brainliest
Answer:
That is a parallelogram.
Step-by-step explanation:
Not a square, not a rectangle, not a trapezoid.
Carter Is organized text book on his bookshelf. He had an English textbook, a math textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbook up on his bookshelf
Carter can line the books up on his bookshelf in 24 different ways.
help me please.........
Answer:
um 21
Step-by-step explanation:
Select all of the equivalencies
1/4=5/10
8/5=8/5
9/8=7/8
1/2=6/12
7/3=7/3
9/10=10/9
Answer:
8/5 = 8/5
1/2 = 6/12
7/3 = 7/3
Step-by-step explanation:
1/4=5/10
5/10 = 1/2
False
8/5=8/5
True
9/8=7/8
False
1/2=6/12
6/12 = =1/2
True
7/3=7/3
True
9/10=10/9
False
Evaluate x3 - x + x0 for x = -1.
What is the value for y when x = 8
Answer:
x+y=0
8+y=0
y=8
Step-by-step explanation:
correct me if I'm wrong
Answer:
D. 44
Step-by-step explanation:
y = (8 x 5) +4
y= 40 + 4
y= 44
How much is 240 in into ft
Answer:
How much is 240 in into ft 20 ft
Step-by-step explanation:
hope this helps
What is the approximate area of a dart board with a diameter of 18 inches? Use 3.14 for π . Round to the nearest hundredth if necessary.
Diameter of the dartboard as given in the question = 18 inches. Then. Radius of the dartboard will be = 18/2 inches. = 9 inches.
The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77ft^2 . Find the dimensions of the rectangle.
Answer:
The dimensions of rectangle are 11 feet and 7 feet.Step-by-step explanation:
Given, The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77 ft²
Let's assume width of rectangle be x feet and Length of rectangle be 3x - 10. Using the formula of area of the rectangle we'll find the dimensions of the Rectangle.
[tex] \\ \dashrightarrow{ \red{\underline{\underline{\sf{Area (rectangle) = Length \times width }}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\dashrightarrow \: \: (3x-10)(x) = 77 \\ [/tex]
[tex]\dashrightarrow \: \: 3x^2 - 10x = 77 \\ [/tex]
[tex]\dashrightarrow \: \: 3x^2 -10x -77 = 0 \\ [/tex]
[tex]\dashrightarrow \: \:3x^2 + 11x -21x -77 = 0 \\ [/tex]
[tex]\dashrightarrow \: \: x(3x+11)-7(3x+11) = 0 \\ [/tex]
[tex]\dashrightarrow \: \: (x-7)(3x+11) = 0 \\ [/tex]
[tex]\dashrightarrow \: \: { \red{\underline{\underline { x = 7 \: or \: \dfrac{-11}{3}}}} } \\ \\ [/tex]
Hence,
Width of rectangle = x = 7 feetLength of rectangle = 3x -10 = 3(7) - 10 = 11 feet[tex] \therefore[/tex] The required dimensions of rectangle are 11 feet and 7 feet.
The dimensions of the given rectangle with an area of 77 ft^2 and given dimensions are; Length = 11 ft and Width = 7 ft
How to find the Area of a rectangle?
Formula for area of a rectangle is;
A = Length * Width
We are given;
Length; L = 3W - 10
Thus;
Area; A = W(3W - 10)
Thus;
W(3W - 10) = 77
3W² - 10W - 77 = 0
Using online quadratic equation calculator, we have;
W = 7
Thus;
L = (3*7) - 10
L = 11 ft
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NEED HELP ASAP I WILL MARK BRAINLIEST IF ANSWERED CORRECTLY
NO LINKS IF YOU DO NOT KNOW THE ANSWER PLEASE SKIP OVER THIS THREAD
Answer:
I think this Cyclic quadrilateral 180degree
Question 20 (20 points) Find the area of the figure, round your answer to one decimal place if ne Area = Unit = A) yd B) yd2 C) yd3 6 yd 6 yd 18 yd
Step-by-step explanation:
a circle with r=6 so the area for the circle is π*r^2
and the area for the rectangle in the meddle is 18*12 which 12 is the height of the rectangle
and the area for that shape equals the area for the circle plus the area for the rectangle
What is the answer to this? Due in 3 minutes!
if p + 2q = 40 find Q when p = 16
Plug in the value of p:-
16+2q=40
Subtract 16 from both sides:-
2q=40-16
2q=24
Divide both sides by 2:-
q=12 ✓
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Find the area of the polygon
Answer:
answer is 40
hope it helps
Order the integers from greatest to
least: 4, -3, 0, 8, -5.
A 5, 3, 0, 4,8
B 3.-5, 0. 4.8
8, 4.0, 3, 5
D 0, -3, 4, 5,8
Answer:
8, 4, 0, -3, -5
(greatest to least order)
-Answer: C-
Step-by-step explanation:
8 is positive so its greatest
-5 is negative but it is farthest away from 0 so it is least
Fill in the table using this function rule. Y=-5x+1
Answer:
X ∣ Y
-5 ∣ 26
-4 ∣ 21
-3 ∣ 16
-2 ∣ 11
-1 ∣ 6
0 ∣ 1
1 ∣ -4
2 ∣ -9
3 ∣ -14
4 ∣ -19
5 ∣ -24
can you help me for math? Statistic and Probability ! what is P(2) + P(3)?
Answer: 1/3
You can find the complete solution in the given attachment
I hope It helped you
If Jyoti has 266 followers in 160 post's so how much followers should he gain in 1 post
Step-by-step explanation:
160 posts = 266 followers
then,
1 posts = 266/160
= 2.50 followers
Mike is saving up for a bike. He is saving up $785. He has 635 and needs to spend 356 for food for his graduation party. How much will he have once he buys food and how much more will need for his bike.
A 278 Left & 567 More
B 423 Left & 821 More
C 279 Left & 506 More
D 144 Left & 296 More
Answer: C
Step-by-step explanation:
635 - 356 = 279
279 + 506 = 785
$785
236 megabytes and 12.6% is downloaded how many megabytes have been downloaded
236 x 0.126
29.736 MB have been downloaded
PLS ANSWER THIS QUESTION
I WILL MARK BRAINLIEST FASTTTTT
Apply the distributive property to factor out the greatest common factor.
{25p + 50q} =
Answer:
25(p+25q)
Step-by-step explanation:
50 and 25 have 25 in common so you divide that out of the equation
Help. Please asap rn.
Answer:
Area = 12 + 6.25π ft², Perimeter = 6 + 5π ft
Step-by-step explanation:
Area:
So I would break this shape into a triangle and a circle (the two semi-circles make a full circle).
Formula for Area of a Triangle: base · height ÷ 2
6 · 4 ÷ 2 = 24 ÷ 2 = 12
Formula for area of a circle: π · radius²
π · (5/2)² = 6.25π
Area of entire shape: Triangle + Circle
Area = 12 + 6.25π ft²
Perimeter:
So the perimeter is made up of the base of the triangle plus the circumference of the circle.
Base of Triangle: 6
Formula for circumference: 2rπ
5 · π = 5π
Perimeter = 12 + 5π ft
Need help answering this
What is the area of parallelogram ABDC?
9 cm 2
12.25 cm 2
7 cm 2
12 cm 2
Answer:
I guess it is 9 cm²
Step-by-step explanation:
Hope it helps.....
Which letter on the number line represents one and eighty five hundredths?
A number line partitioned into tenths, starting at zero and ending at five. There are nine tick marks between each whole. There is a dot labeled A between the fifth and sixth tick mark after zero. A dot labeled B is between the eighth and ninth tick mark after one. A dot labeled C is between the fourth and fifth tick mark after 2. A dot labeled D is between the second and third tick mark after 3. A dot labeled E is between the seventh and eighth tick mark after three. A dot labeled F is between the fifth and sixth tick mark after four.
A
B
C
D
Do you think you could attach a photo?