Answer:
a. 5.3%
b. 7.3%
Step-by-step explanation:
we have to:
n = 12
p = 0.2
q = 1 - 0.2 = 0.8
We apply the binomial formula:
p (x) = nCx * p ^ x * p ^ (n-x)
a. P (x = 5) = 12C5 * 0.2 ^ 5 * 0.8 ^ (12-5)
12C5 = 12! / (5! * (12 -5)!) = 792
P (x = 5) = 792 * 0.2 ^ 5 * 0.8 ^ (12-5)
P (x = 5) = 0.053
which means that the probability is 5.3%
b. P (x => 5) = 1 - p (x <5)
P (x => 5) = 1 - p (x <= 4)
P (x => 5) = 1 - [P (x = 0) + P (x = 1) + P (x = 2) + P (x = 3) + P (x = 4)]
P (x = 0) = 12C0 * 0.2 ^ 0 * 0.8 ^ (12-0) = 0.069
P (x = 1) = 12C1 * 0.2 ^ 1 * 0.8 ^ (12-1) = 0.206
P (x = 2) = 12C2 * 0.2 ^ 2 * 0.8 ^ (12-2) = 0.283
P (x = 3) = 12C3 * 0.2 ^ 3 * 0.8 ^ (12-3) = 0.236
P (x = 4) = 12C4 * 0.2 ^ 4 * 0.8 ^ (12-4) = 0.133
replacing:
P (x => 5) = 1 - [0.069 + 0.206 + 0.283 + 0.236 + 0.133]
P (x => 5) = 1 - 0.927
P (x => 5) = 0.073
Which means that the probability is 7.3%
Is the triangle with sides 1.7 in., 1.1 in., and 2 in. a right triangle? Explain.
Answer:
No
Step-by-step explanation:
This is because those 3 values are not pythagorean triples
2² is not equal to 1.7² + 1.1²
A punch recipe requires lemonade, ginger ale, pineapple juice and orange juice to be mixed in the
following ratio
1:3: 2:4
If 400mL of pineapple juice is used, how much lemonade, ginger ale and orange juice is needed
to make the punch?
Lemonade mL :
Ginger Ale mL :
Orange Juice ML :
Answer:
lemonade : ginger ale : pineapple juice : orange juice
l:g:p:o = 1:3:2:4
-------------
p=400 ml
2=400 ml ⇒ 1= 200 ml, 3= 600 ml, 4= 800 ml
Lemonade mL : 200
Ginger Ale mL : 600
Orange Juice ML : 800
-3x-10=32 i couldn't find the answer!!
Answer:
Lets do this step by step
Step-by-step explanation:
I hope this helps
Answer:
-14
Step-by-step explanation:
To solve for x, you would first need to add 10 to both sides. Then you would get -3x-10+10=32+10. Then we simplify that to get, -3x=42. Then, you would divide both sides by -3, to get x=-14
The upper and lower quartiles are the _______________ of each half of the data.
A. mean
B. mode
C. median
D. none of the above
Answer:
A..... I guess the answer must be A
Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. 18 + 24 = x 18 squared + 24 = x (18 + 24) squared = x squared 18 squared + 24 squared = x squared
Answer:
A triangle has side lengths 18, 24, x.
18 + 24 = x
18 squared + 24 = x
(18 + 24) squared = x squared
18 squared + 24 squared = x squared
Step-by-step explanation:
The right triangle hypotenuse has its length 18² + 24² = x².
What is hypotenuse?In a right triangle, the "side opposite to the right angle is hypotenuse".
According to the question,
In right angle triangle, sides are 18, 24, x. Where 'x' is the hypotenuse of the right angle triangle. In right angle the opposite angle is 90⁰ . In order
to find hypotenuse,
18 + 24 = x
18² +24 =x
(18+ 24) ² = x²
18² + 24² = x²
Hence, the right triangle hypotenuse has its length 18² + 24² = x².
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Eduardo had 18 candies. 2/3 of the candies were butterscotch discs. How many were butterscotch discs?
Answer:
is 12
Step-by-step explanation:
2/3=18
18:3= 6
6 x 2=12
[tex]answer \\12 \\ solution \\ \\ \frac{2}{3} \times 18 \\ = 12 \\ \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
what is a geometric pattern
Answer:
A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns.
Step-by-step explanation:
_____ is a gas giant, an "ice giant," and orbits the Sun like a rolling ball (since its axis is greatly tilted). A. Saturn B. Jupiter C. Uranus D. Neptune
Which graph shows line symmetry about the y-axis?
Answer:
1st one does
Step-by-step explanation:
There is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.
When a graph is symmetry about the y-axis?A graph is symmetry about the y-axis, when for a point a,b on the graph, there is another point such that (-a,b). It is the reflected point of the graph about the y-axis.
The graph which is symmetry about y-axis is attached below.
In the given image,
The first graph is not symmetry about the y axis as it does not follow the rule (x,y)-->(-x,y). In the second graph, the graph shows a parabolic function, but it is not showing symmetry about the y-axis.Thus, there is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.
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Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!
Answer:
See this: https://brainly.com/question/16788347
How would you describe the curve?
the answer is C, the curve is a one to one function
¿Cual es el perímetro de un hexágono regular cuyo lado mide 16,5cm?
Step-by-step explanation:
6(16.5 cm) = 99 cm
Please help me I’m stuck with this question someone help me please
What are the x- and y-intercepts of the graph of 5x – 4y = –20?
x-int: 5, y-int: –4
x-int: –5, y-int: 4
x-int: –4, y-int: 5
x-int: 4, y-int: –5
X-intercept is -4 and the Y-intercept is 5
How much glass is needed to make the given cup below, if it has a height of 6 inches and a radius of 1.5 inches
Answer:
[tex]31.5\pi[/tex]
Step-by-step explanation:
Using the formula given, you can find that the surface area of the glass is:
[tex]2\pi r^2 h+ 2\pi r^2= \\\\2\cdot \pi \cdot 1.5^2 \cdot 6+2\cdot \pi \cdot 1.5^2=\\\\27\pi + 4.5\pi=\\\\31.5\pi[/tex]
Hope this helps!
How much is $100 U.S. dollars in Indian rupees?
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera
8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to
monitor every customer who enters and exits the store. At want angle of depression should
Harry set the camera to capture the faces of all customers? Use a diagram and
mathematical calculations to help you explain your answer.
Answer: The angle of depression would be 26.57°
Step-by-step explanation: Please refer to the attached picture for further details.
What harry has done has effectively led to the formation of a right angled triangle. As shown in the diagram, the camera has been mounted at a height of 8 feet above the ground. Also he mounts the camera at a horizontal from the entrance, which puts the camera at 16 feet away from the entrance (not from the ground). In order to capture every movement at the entrance, the camera range would be determined by an angle which covers everything from top to bottom of the entrance. That gives you the angle of depression which is at the point labelled CAMERA in the triangle.
Having determined two sides and an angle (unknown) in a right angled triangle, we shall use the trigonometric ratios as follows;
Tan ∅ = Opposite/Adjacent
Where the opposite is 8 (side facing the reference angle) and the adjacent is 16 (side that lies between the reference angle and the 90 degree angle)
Tan ∅ = 8/16
Tan ∅ = 0.5
By use of a calculator,
∅ = 26.5650
∅ ≈ 26.57
Therefore the angle of depression of the surveillance camera should be 26.57°
What is the square root of 9?
Answer:
±3
Step-by-step explanation:
sqrt(9)
3*3 = 9
-3*-3 = 9
sqrt(9) = ±3
Make x the subject of y=3x-2
Answer:
To make x the subject of the equation means to solve the equation for x (get x by itself on one side). We do the order of operations in reverse, because we are using inverse operations. First, add the 2 to both sides (to keep the equation “balanced” we must do the same thing to both sides). y+2=3x. Then divide both sides of the equation by 3 (or multiply both sides by 1/3.
Step-by-step explanation:
Answer:
[tex]x = \frac{y + 2}{3} [/tex]
Step-by-step explanation:
[tex]y = 3x - 2 \\ y + 2 = 3x \\ \frac{y + 2}{3} = \frac{3x}{3} \\ \\ x = \frac{y + 2}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A middle school took all of its
six grade students on a field trip to see a ballet at the theater that has 1000 seats the students for the 45% of the seats in the theater how many six graders went on a trip ?
What is the decimal multiplier to increase by 39%?
The decimal multiplier to increase by 39% is 1.39
A decimal multiplier is used when determining the percentage of a particular amount.
From the information given:
the decimal multiplier required to increase by 39% can be determined as follows:
[tex]\mathbf{=\dfrac{100}{100} + \dfrac{39}{100}}[/tex]
[tex]\mathbf{=1 +0.39}[/tex]
= 1.39
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PLEASE HELP!! In Moose, Wyoming, the snow level is modeled by the function y = 2x + 14. Here, y is the amount of snow in inches, and x is the number of hours after midnight (x = 0). 8. What is the meaning of the y-intercept in terms of the problem? 9. What is the meaning of the slope in terms of the problem? 10. What was the snow level at 8 a.m., when x = 8?
Answer:
8. The y-intercept represents the 14 inches of snow 0 hours after midnight.
9. The slope indicates that the snow level increases 2 inches for every hour that passes after midnight.
10. 30 inches
Step-by-step explanation:
8. given in the text
9. given in the text
10.
[tex]y=2x+14[/tex]
[tex]y=2(8)+14[/tex]
[tex]y=30[/tex]
The first step in determining the solution to the system of equations, y = –x2 – 4x – 3 and y = 2x + 5, algebraically is to set the two equations equal as –x2 – 4x – 3 = 2x + 5. What is the next step?
answers are:
Set y = 0 in y = –x2 – 4x – 3.
Factor each side of the equation.
Use substitution to create a one-variable equation.
Combine like terms onto one side of the equation.
Answer:
Combine like terms onto one side of the equationStep-by-step explanation:
Given the first step in determining the solution to the system of equations,
y = –x2 – 4x – 3 and y = 2x + 5, algebraically as setting the two equations equal as shown: –x2 – 4x – 3 = 2x + 5, the next step will be to combine like terms onto one side of the equation. The like terms are the terms containing the variable x as shown;
-x²-4x-2x = 5+3
As we can see, the term containing x in the right hand side of the equation (i.e 2x) are being brought to the left side of the equation. This will be the next step in the calculation
Answer:
D. Combine like terms onto one side of the equation.
Step-by-step explanation:
Which describes unit rates? Check all that apply.
-Nadia pays $30 for 2 baseball tickets.
-A certain type of sailboat travels at 7 nautical miles per hour.
-The cost of 3 hot chocolates is $2.
-A summer camp provides 3 meals for each camper.
Answer 2,4 are all described as unit rates a unit rate is anything that has per or each in it so a certain type of boat travels at 7 hours PER mile so we know question 2 is correct and 3 is a unit rate because it has each in it A summer camp provides 3 meals for EACH camper. That’s why the answer is 2 and 4
Which best describes the function?
Answer:
The last option on the list.
Step-by-step explanation:
Josh mixed 2 cartons of orange juice, 3 bottles of soda waterland 6 cans of
cocktail fruits to make a fruit punch for the Christmas party. Each carton of
juice is 1 gallon and 3 quarts. Each soda water bottle contains quarts, The
cans of cocktail fruit are 2 pints each. How much (
measured in gallons) of
fruit punch did Josh made?
Answer:
9.5 gallons
Step-by-step explanation:
Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of
cocktail fruits to make a fruit punch.
Each carton of juice is 1 gallon and 3 quarts.
Therefore, 2 cartons will be:
2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts
1 quart = 0.25 gallon
6 quarts = 6 * 0.25 = 1.5 gallons
Therefore, Josh poured 3.5 gallons of orange juice.
Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.
Therefore, the number of gallons that the soda water bottle contains is:
3 * 6 * 0.25 = 4.5 gallons
The cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.
1 pint = 0.125 gallon
2 pints = 0.25 gallons
=> 6 cans of cocktail fruit is:
6 * 0.25 = 1.5 gallons
The amount of fruit punch that Josh made is the sum of all components:
3.5 + 4.5 + 1.5 = 9.5 gallons
Using the appropriate arithmetic operation, the total measure of the fruit punch in gallons is 9.5 Gallons
Recall :
1 quartz = 0.25 gallons 1 pint = 0.125 gallonsOrange juice :
2 cartons = 2(1.75) = 3.5 gallons
Soda water :
3 bottles = 3(6 × 0.25) = 4.5 gallons
Cocktail juice :
6 cans = 6(2 × 0.125) = 1.5 gallons
Total gallons in mixture :
(3.5 + 4.5 + 1.5) = 9.5 gallonsLearn more : https://brainly.com/question/25581049
Factorise 25x+15 thank you for the help
Answer:
5(5x + 3)
Step-by-step explanation:
Given
25x + 15 ← factor out the common factor 5 from each term
= 5(5x + 3) ← in factored form
P= $450 r=6% t= 3 what is I ?
Answer:
535.96 (rounded up)
Step-by-step explanation:
Y= a ( 1 + r )^t
Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q.
In the diagram, the only figure that could be parallel to line c is
line a.
line b.
line d.
plane Q.
Answer:
C. line d
Step-by-step explanation:
Two parallel lines are lines that do not meet even with continuous extension of their length. While two lines are perpendicular when they form a right angle to each other at the point where they meet.
In the given question, the only figure that would be parallel to line c is line d. Line a is not parallel to line c (since it is slightly diagonal, it would intersect line c at a point) and line B is perpendicular to line c (since it is horizontal to plane Q), same as plane Q. So that lines c and d are parallel to each other.
Answer:
C. Line D
Step-by-step explanation:
Just took the test and got it right
Ben has b dollars. Cam has 7 fewer dollars than Ben.
How many dollars does Cam have?
Answer:
Cam has b-7 dollars
Step-by-step explanation:
