Answer:
The probability distribution of x is given by
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
P(x = 0) = 0.49
P(x = 1) = 0.42
P(x = 2) = 0.09
Step-by-step explanation:
The binomial distribution has the following features:
• There are n repeated trials and are independent of each other.
• There are only two possibilities: US adults attend church every Sunday or US adults do not attend church every Sunday
• The probability of success does not change with trial to trial.
Let x represent the number in this sample who attend church every
Sunday, the probability distribution of x is given by
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
For the given case
Probability of success = p = 0.30
Number of trials = n = 2
Variable of interest = x = 0, 1, 2
For P(x = 0):
Here we have x = 0, n = 2 and p = 0.30
P(x = 0) = ²C₀(0.30⁰)(1 - 0.30)²⁻⁰
P(x = 0) = 0.49
For P(x = 1):
Here we have x = 1, n = 2 and p = 0.30
P(x = 1) = ²C₁(0.30¹)(1 - 0.30)²⁻¹
P(x = 1) = 0.42
For P(x = 2):
Here we have x = 2, n = 2 and p = 0.30
P(x = 2) = ²C₂(0.30²)(1 - 0.30)²⁻²
P(x = 2) = 0.09
A bricklayer charges $8 per square foot to lay a patio.How much would it cost for the bricklayer to lay a 12-foot-x 16-foot patio?
Area of patio = 12 x 16
= 192 square feet
Cost = 192 x 8
= $1536
What is the y-intercept of the function f(x)=4 – 5x?
A. -5
B. -4
C. 4
D. 5
Answer:
C. 4
Step-by-step explanation:
By definition y = ax +b
b is the incline with the y-axis
a = incline or gradient.
Given y = -5x + 4
By this alone you can see b = 4
Choose your answer, which is answer C.
Find the values of the missing angles
Answer:
65
Step-by-step explanation:
Angle A is 55 degrees.
A triangle adds up to 180 in degrees so 60 + 55 = 115
180 - 115 = 65 therefore angle C is 65 degrees.
Angle B is equal to angle C so it's also 65 degrees.
Basically:
A - 55
B - 65
C - 65
Classify the following real numbers as rational or irrational:
Answer:
a. rational - It can be written as a fraction so it's rational.
b. rational - Simplified it equals to 9, a whole, therefore rational, number.
c. irrational - Even once simplified, it contains a square root, therefore it's irrational.
d. rational - It can be written as a fraction so it's rational.
e. irrational - It cannot be simplified from a square root, therefore it's irrational.
You work for a florist. Normally, it takes you 20 hours to assemble 10 flower arrangements. How long does it take you to assemble one flower arrangement?
Answer:
2 hours
Step-by-step explanation:
We want to find the unit rate, or time per flower arrangement.
To find the unit rate, divide the number of hours by the number of flower arrangements.
hours/flower arrangements
It takes 20 hours to assemble 10 flower arrangements.
20 hours/ 10 flower arrangements
Divide 20 by 10 (20/10=2)
2 hours/ flower arrangement
It take 2 hours to assemble one flower arrangment.
A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $155 for 100 megabytes and $245 for 200 megabytes. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph? Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 0.9 Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 1.1 Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 1.1 Draw a graph which joins the points (100, 155) and (200, 245) and has a slope = 0.9
Answer:
Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 0.9
Step-by-step explanation:
x variable represents total megabytes of data used
y variable represents total monthly charges
The company charges $155 (y) for 100 megabytes (x) means that the point (100, 155) belongs to the equation.
The company charges $245 (y) for 200 megabytes (x) means that the point (200, 245) belongs to the equation.
With these two points, the slope is computed as follows:
(245 - 155)/(200 - 100) = 0.9
Answer:
the correct answer is
Step-by-step explanation:
Second option: Draw a graph that joins the points 100 and 135 500 and 375 and has a slope of 0.6
or if you have the other problem its
Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50
Please help real quick good points
Answer:
b. six equilateral triangles
Step-by-step explanation:
The 6 interior angles of the hexagon are supplementary to the exterior angle and are 120 deg. ... Therefore the angles at the center is 360/6 = 60 degrees for each triangle. So all three angles of the six triangles are 60 deg each. So there are 6 equilateral triangles that form the regular hexagon.
Five-Pointed Star Logo
1. Use the interactive Spider Tool located on page 1 of this activity to recreate the
five-pointed star logo. Start by asking the spider to move 50 units, rotate 144
degrees, and repeat the sequence until she returns to her starting point. Remember
that you can use "Zoom out" or "Fit to window" if the spider leaves the viewing area.
(To draw the logo with the feet of the star on the bottom, have her rotate 72 degrees,
move 50 units, rotate 144 degrees, and then repeat the sequence until she returns to
her starting point.) In the space below, sketch the five-pointed star logo you created
with the Spider Tool. (4 points)
Answer:
see attached
Step-by-step explanation:
The image on the left in the attachment is created with an initial direction angle of 0°. The image on the right, with both feet at the bottom, is created with an initial direction of 36° (not 72°). An initial rotation of 72° results in an image like the left one, except with the origin at the bottom point.
In each case, the origin is marked with a dot.
The final result is a five-pointed start or a five-pointed start upwards if you rotate 72 degrees rather than 144 degrees the first time.
What is a star?A star is a type of polygon, which means it is a shape with multiple sides. Indeed, five-pointed stars are classified as decagons or polygons with 10 sides but the number of sides varies if the star is six-pointed, ten-pointed star, etc.
How is a five-pointed star created?All stars use lines with specific angles to be created. In the case of five-pointed stars, whcih are the most common the general pattern is:
Use lines of the same lenght and rotate 144° each time.This means that if you follow the instruction you will obtain a five-pointed star.
Learn more about stars in: https://brainly.com/question/24493066
Graph the rational function f(x)=2x-3 over x+4
Answer
Here is the graph of f(x).
graph{-(x)/((2x-3)(x+4)) [-10, 10, -5, 5]}
40% as ounces
Pls help
Answer:
that equals 5 cups
Step-by-step explanation:
40% in ounces is 5 cups
Step-by-step explanation:
If you divide the total amount of cups it takes to take the next measurement it comes to 5 cups.
7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
company to recover an initial investement of $45,000 and eam an additional $15,000 as profit?
The company has to sell
$15,000 as profit.
shaving sets to recover an initial investment of $45,000 and earn an additional
Answer:30,000
Step-by-step explanation:
Please I need help with this ASAP..Thanks
Answer:
c
Step-by-step explanation:
bruh
simplify 10 in radical sign times 8 in radical sign
Which transformations could have occurred to map ABC
to ABC
a rotation and a reflection
a translation and a dilation
a reflection and a dilation
a ditation and a rotation
Answer:
a dilation and a rotation
Step-by-step explanation:
is what I put
Find the equation of the line below.
Answer:
D. y = 1/3x
Step-by-step explanation:
The line rises 1 unit up and runs 3 units to the right. The numerator (top) of the fraction, in this case the "rise" (units traveled up or down) of the equation, is 1. The denominator (bottom) of the fraction is 3, representing the "run" (units traveled right or left) of the equation.
Good luck on your test/work, I hope this helped!
70°
xo
Determine the value of x in the figure.
OA) X= 70
B) x = 35
OC) x = 140
OD) x = 40
What is the quotient of 6/7 and 3/14
One-fourth
2
3 and one-third
4
Answer:
4
Step-by-step explanation:
When we want to find a quotient, what we do is that we switch the numerator and the denominator of the second fraction and then we multiply the two resulting fractions. If we have [tex]\frac{6}{7}[/tex] and [tex]\frac{3}{14}[/tex], doing this we would have:
[tex]\frac{6}{7}(\frac{14}{3})=\frac{84}{21} = \frac{28}{7} =\frac{4}{1}=4[/tex]
Thus, the right answer is 4.
(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)
Answer:
8624.03
Step-by-step explanation:
(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)
8000+600+20+4+.03
8624.03
Answer:
8624.03
Step-by-step explanation:
8000 + 600 + 20 + 4 + .03
What is the solution to the equation 2n3=n+145? Enter your answer in the box. n =
I just took the test and the answer is n= 6
Answer:
n=6
Step-by-step explanation:
Evaluate the following:
Answer:
[tex]3\frac{17}{24}[/tex]
Step-by-step explanation:
[tex]14\frac{1}{6}-10\frac{11}{24}=\\\\\frac{85}{6}-\frac{251}{24}=\\\\\frac{340}{24}-\frac{251}{24}=\\\\\frac{89}{24}=\\\\3\frac{17}{24}[/tex]
14x6= 84/6
84/6 +1/6 = 85/6
10 x 24= 240/24
240/24 +11/24 = 251/24
85x 4 = 340
340-251= 89/24
3 17/24
Use △XYZ, in which ∠X is a right angle and tanY=815.
Answer:
8/17
Step-by-step explanation:
The correct and complete question is:
Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?
From definition:
tan(Y) = opposite/adjacent
From the graph and the question:
tan(Y) = XZ/XY = 8/15
Then:
XZ = 8 and XY = 15. Using pytaghorean theorem:
XZ² + XY² = YZ²
8² + 15² = YZ²
√289 = YZ
17 = YZ
From definition:
sin(Y) = opposite/hypotenuse
From the graph:
sin(Y) = XZ/YZ
sin(Y)= 8/17
In professional baseball, each team plays 160 games. After playing half their games, team A has won 60 and team B has won 49. If team A wins half of its remaining games, how many of its remaining games must team B win to have the same number of wins as team A?
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
BC=10
Step-by-step explanation:
BD-BC=14-4=10
Answer:
BC is 10
Step-by-step explanation:
BD is the whole thing
CD and BC make up BD
so BD-CD=BC
14 - 4 = 10
BC is 10
Choose the algebraic description that maps ΔABC onto ΔA′B′C′ in the given figure. answwers: A) (x, y) → (x + 4, y + 5) B) (x, y) → (x – 4, y – 5) C) (x, y) → (x – 4, y + 5) D) (x, y) → (x + 5, y – 4)
Answer:
C. (x, y) -> (x - 4, y + 5)
Step-by-step explanation:
A is at (2, -2)
A' is at (-2, 3)
To get from 2 to -2, you must subtract 4, so (x - 4)
To get from -2 to 3, you must add 5, so (y + 5)
(x - 4, y + 5)
I hope this helps :))
The algebraic description that maps ΔABC onto ΔA′B′C′ in the given figure should be option C. (x, y) -> (x - 4, y + 5)
Algebraic description:Since
A is at (2, -2)
A' is at (-2, 3)
So,
To get from 2 to -2, you should deduct 4, so (x - 4)
And,
To get from -2 to 3, you should deduct 5, so (y + 5)
Therefore,
(x - 4, y + 5)
Learn more about algebraic here: https://brainly.com/question/24754151
It costs $38 for 2 people to go to the movie theater, 40% of the money was for snacks What was the cost of each movie ticket?
Answer:
$11.40
Step-by-step explanation:
$38 for 2 people to go to the movie theater.
38/2=19
$19 for each person to go to the movie theater.
40% of the money is for snacks, the movie ticket must be 60% of the money.
19×60%
19×60/100=11.4
The cost of each movie ticket is $11.40
Answer:
$11.4
Step-by-step explanation:
Total Cost = $38
Snacks:
=> [tex]\frac{40}{100}* 38[/tex]
=> $15.2
Left for 2 tickets:
=> $38-$15.2
=> $22.8
For 1 ticket:
=> $22.8/2
=> $11.4
Scarlet and Paula are on a vacation. They went to a store to buy some souvenirs for their friends back home. Scarlet bought three pairs of sunglasses and two shirts for $81 and Paula bought one pair of sunglasses and five shirts for $105. What is the cost of one pair of sunglasses and one shirt? The cost of one pair of sunglasses is $15 and the cost of one shirt is $18. The cost of one pair of sunglasses is $18 and the cost of one shirt is $15. The cost of one pair of sunglasses is $12 and the cost of one shirt is $23. The cost of one pair of sunglasses is $23 and the cost of one shirt is $12.
Answer:
a
Step-by-step explanation:
1. Choose a person.
2. Substitute the numbers into the correct values.
105 - 15 = ?/5 = 18
105 - 18 = ?/5 = 3.48
105 - 12 = ?/5 = 18.6
105 - 23 = ?/5 = 16.4
It is A because it is the only one in which the answer is equivalent to the cost.
Hope this helps:)
Answer:
The answer is A. .
Step-by-step explanation:
Let [tex]s[/tex] represent the amount of sunglasses bought and [tex]t[/tex] represent the amount of shirts bought.
Scarlet bought 3 pairs of sunglasses and 2 shirts for $81. In other words:
[tex]3s+2t=81[/tex]
Paula bought one pair of sunglasses and five shirts for $105. In other words:
[tex]s+5t=105[/tex]
We have a system of equations and can solve it by isolating [tex]s[/tex].
[tex]s+5t=105[/tex]
[tex]s=105-5t[/tex]
Now, substitute.
[tex]3s+2t=81[/tex]
[tex]3(105-5t)+2t=81[/tex]
[tex]315-15t+2t=81[/tex]
[tex]-13t=-234[/tex]
[tex]t=18[/tex]
Now, determine [tex]s.[/tex]
[tex]s=105-5t[/tex]
[tex]s=105-5(18)[/tex]
[tex]s=15[/tex]
Thus, a pair of sunglasses is $15 and a shirt is $18.
George Washington was born on 2-22-1732. He died in 1799 at the age of 67. The month in which he died and the day of the month on which he died are consecutive even integers whose product is 168. When did Washington die? month day year
Answer:
George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
Step-by-step explanation:
In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.
Therefore,
If one positive even integer = Month he died is represented by x
The second consecutive even integer = Day he died = x + 2
Their product =
x ( x + 2) = 168
x² + 2x = 168
x² + 2x - 168 = 0
We factorise
x² + 14x - 12x - 168 = 0
(x² + 14x) - (12x - 168) = 0
x(x + 14) - 12(x + 14) = 0
(x - 12)(x + 14) = 0
x - 12 = 0, x = 12
x + 14 = 0 , x = -14
Our answer cannot be a negative interger, hence x = 12
So the first positive even integer = 12
The second positive even integer = x+2 = 12 + 2 = 14
Therefore, the month he died = n = 12th month = December
The day he died = n + 2 = 14 = 14th day.
Hence, George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
Find the slope of the line that passes through (93, -6) and (11, 24).
Answer:
-15/41
Step-by-step explanation:
Answer:
-15/41
Step-by-step explanation:
We can use the slope formula since we have 2 points
m = (y2-y1)/(x2-x1)
= (24 - -6)/(11 - 93)
= (24+6)/ (-82)
= 30/ -82
-15/41
If a translation maps point (3, 2) to (4, 5); or T: (3, 2) —>(4,5), indicate the image for (2,4).
O (3,7)
O (2,-1)
O (5,3)
Answer:
(5,3)
I'm not soooo sure I'm %50 sure
Color to show the fractions
Did I do it right ?
Answer:
For number three you did everything correct.
But, number 4 it has to be equal to.
[tex]3/6=1/2[/tex]
They are equal to each other.
So just change it to an equal sign and your good.
Hope this helps
All is right, just one wrong.
3 sixths are not lesser than 1 half.
[tex]\displaystyle \frac{3}{6} =\frac{1}{2}[/tex]
3 sixths are equal to 1 half.