Please Help
Use the probability distribution table to answer the question.
X / P
0 / 0.03
1 / 0.13
2 / 0.70
3 / 0.10
4 / 0.04
What is P(2
Answers
Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].
What does the discrete probability distribution gives?It give the probability of each outcome, and each outcome is represented by a countable number.
The desired probability is:
[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]
As there is an open interval at X = 2, it does not enter the calculation. The values are:
P(X = 3) = 0.1.P(X = 4) = 0.04.Hence:
[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]
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Related Questions
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 6, 4, 6, 8, 7, 7, 6, 3, 3, 8, 10, 4, 8 7, 8, 7, 5, 9, 5, 8, 4, 3, 8, 5, 5, 4 4, 4, 8, 4, 5, 6, 2, 5, 9, 9, 8, 4, 8 9, 9, 5, 9, 7, 8, 3, 10, 8, 9, 6 Develop, a, 95%, confidence, interval, estimate, of, the, population, mean, rating, for, Miami.
Answers
Using the t-distribution, it is found that the 95% confidence interval for the population mean rating for Miami is (5.73, 6.95).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 50 - 1 = 49 df, is t = 2.0096.
Considering the given sample, the other parameters are given as follows:
[tex]\overline{x} = 6.34, s = 2.16, n = 50[/tex]
Hence, the bounds of the interval are:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 6.34 - 2.0096\frac{2.16}{\sqrt{50}} = 5.73[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 6.34 + 2.0096\frac{2.16}{\sqrt{50}} = 6.95[/tex]
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I need help. This is an ixl
Answers
Answer: 2
Step-by-step explanation:
We will first pull the data values.
0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3
Now, we will find the middle data value. This is the median.
0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3
/, /, /, /, /, 2, /, /, /, /, /
Our median is 2.
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John Pelson's weekly net pay is $972.11. His weekly deductions are $185.00 for FIT; 5% of gross for SIT; 2% of gross for CIT; Social Security and Medicare; $64.00 for health insurance; and $25.00 for charity? Find the weekly gross pay
Answers
Based on the calculations below, the weekly gross pay of John Pelson is $1,339.90.
How to calculate gross pay?Let G represents weekly gross pay. The gross pay can now be calculated as follows:
Net pay = G – FIT – SIT – CIT - Health insurance – Charity ……………….. (1)
Substitute all the relevant values into the equation (1) and solve as follows:
$972.11 = G – $185.00 – 0.05G – 0.02G – $64.00 – $25.00
$972.11 + $185.00 + $64.00 + $25.00 = G – 0.05G – 0.02G
$1,246.11 = (1 – 0.05 – 0.02)G
$1,246.11 = 0.93G
G = $1,246.11 / 0.93
G = $1,339.90
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2x + 4y = 15
6x +12y = 45
What would the solution to the system of equations be?
Answers
Answer:
They both have an infinite number of solutions.
Step-by-step explanation:
Given system of equations:
a) 2x + 4y = 15
b) 6x + 12y = 45
Slope-intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)Rewrite both equations into slope-intercept form:
a) 2x + 4y = 15
⇒ 2x + 4y = 15 [subtract 2x from both sides]
⇒ 2x - 2x + 4y = 15 - 2x
⇒ 4y = - 2x + 15 [divide both sides by 4]
⇒ 4y ÷ 4 = (-2x ÷ 4) + (15 ÷ 4)
[tex]\sf \implies y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75[/tex]
b) 6x + 12y = 45
⇒ 6x + 12y = 45 [subtract 6x from both sides]
⇒ 6x - 6x + 12y = 45 - 6x
⇒ 12y = - 6x + 45 [divide both sides by 12]
⇒ 12y ÷ 12 = (-6x ÷ 12) + (45 ÷ 12)
[tex]\sf \implies y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75[/tex]
New equations:
[tex]\sf a)\ y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75\\\\\sf b)\ y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75[/tex]
Both equations have the same slope (-½), and y-intercept (3.75). Therefore, they both have an infinite number of solutions.
System of equations can have the following:
No Solution: the same slope (both lines will be parallel)
One Solution: different slopes and different y-intercepts
Infinitely Many Solutions: the same slope and y-intercept
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Looking at the given expression, they do not seem to be in the slope-intercept form which is the most common form used for linear expression. Let us convert the equations that were given in the problem statement to follow the slope-intercept form.
Slope-Intercept Form ⇒ [tex]y = mx + b[/tex]m = slopeb = y-interceptEquation #1
Subtract 2x from both sides
[tex]2x + 4y = 15[/tex][tex]2x - 2x + 4y = 15 - 2x[/tex][tex]4y = -2x + 15[/tex]Divide both sides by 4
[tex]\frac{4y}{4} = \frac{-2}{4}x + \frac{15}{4}[/tex][tex]y = \frac{-2}{4}x + \frac{15}{4}[/tex][tex]y = -0.5x + 3.75[/tex]Equation #2
Subtract 6x from both sides
[tex]6x + 12y = 45[/tex][tex]6x - 6x + 12y = 45 - 6x[/tex][tex]12y = -6x + 45[/tex]Divide both sides by 12
[tex]\frac{12y}{12} = \frac{-6}{12}x + \frac{45}{12}[/tex][tex]y = \frac{-6}{12}x + \frac{45}{12}[/tex][tex]y = -0.5x + 3.75[/tex]Since both the first and second equation have the same exact number which means that they will fall exactly on top of each other. Therefore, there are infinite solutions as they will always continue on top of each other.
What is the median of 3,4,5,5,7,8
Answers
Solve the equation using the Square Root Property
2(x+1)^2=50
SHOW ALL YOUR STEPS/WORK
Answers
(x+1) ^2 = 25
x+1 = -+5
•x= 5-1 = 4
•x=-5-1= -6
Chandler wants to buy a bike
that costs $345. He has a job that
pays an hourly wage of $6. He
needs to pay back $35 that he
borrowed from his mom. How
many hours does Chandler need to
work to have enough money to
purchase the bike?
Answers
We can divide 345 by 6 to see the remaining hours.
345/6 = 57.5.
Chandler would need to work for 57.5 hours after paying off the debt owed to be able to afford the bike, working for a grand total of 63.5 hours.
Not sure if they would pay for a half an hour of work, so Chandler may need to work 64 hours, unless it’s stated they’d pay for a partial hour of work.
Hope this helps!
Zoe thinks of a number. She multiplies it by 3 and adds 4. She gets the same answer when she adds 5 to the number and then multiplies the result by 2.
a. Write an equation, using n for Zoe's number.
b. Solve your equation to find Zoe's number.
Answers
Answer:
Zoe's number is 6
Step-by-step explanation:
Let the number be 'n'
a) Multiply 'n' by 3 ⇒ n*3 = 3n
Add 4 to '3n' ⇒ 3n + 4
Add 5 to 'n' ⇒ n +5
Multiply (n+ 5) by 2 ⇒ (n +5)*2 = 2n + 5*2 = 2n + 10
3n + 4 = 2n + 10
b) 3n + 4 = 2n + 10
Subtract 4 form both sides
3n = 2n + 10 - 4
3n = 2n + 6
Subtract 2n from both sides
3n - 2n = 6
[tex]\sf \boxed{\bf n = 6}[/tex]
Answer:
21 is probably the best answer
6. Dana measured the height of her
bedroom wall to be 3 yards tall. Which of
these is closest to the equivalent
measurement?
Answers
Answer:
9 feet, 108 inches, 274.32 cm, 2.7432 meters
Step-by-step explanation:
Not enough information is given to answer.
You didn't provide the list of "these" to choose from, but I can just list some potential answers I could see being an option.
3 yards = 9 feet [1 yard = 3 feet. 3 yards = 9 feet]
9 feet is also 108 inches [1 foot = 12 inches. 9 feet = 108 inches]
3 yards = 108 inches
{There are 91.44 cm in a yard} (1 yard = 91.44 cm. 3 yards = 274.32 cm),
3 yards = 274.32 cm
3 yards = 2.7432 meters (1 yard = 0.9144 meters; 3 yards = 2.7432 meters)
Simplify the following: 9 – 2(x - 5) = x + 10
Answers
Answer:
x = 3
Step-by-step explanation:
Hello!
We can distribute the parenthesis and solve for x.
Solve9 - 2(x - 5) = x + 109 - 2x + 10 = x + 1019 - 10 = 3x9 = 3xx = 3The value of x is 3.
We can plug it back in to check if it works.
Check9 - 2(x - 5) = x + 109 - 2(3 - 5) = 3 + 109 - 2(-2) = 3 + 109 + 4 = 3 + 1013 = 13Correct!
Answer:
[tex]\huge\boxed{\sf x = 3}[/tex]
Step-by-step explanation:
Given equation:9 - 2(x - 5) = x + 10
Distribute
9 - 2x + 10 = x + 10
Subtract 10 to both sides
9 - 2x = x
Add 2x to both sides
9 = x + 2x
9 = 3x
Divide 3 to both sides
9/3 = 3x/3
3 = x
OR
x = 3[tex]\rule[225]{225}{2}[/tex]
Select the correct answer.
Over which interval of the domain is function h decreasing?
25?
Answers
Answer:
the function is only increasing.
Step-by-step explanation:
If-5x + 4y = -3 is a true equation, what would be the value of
-6(-5x+4y)?
Answers
Answer:
Step-by-step explanation:
-5x+4y=-3
-6(-5x+4y)=-6×(-3)=18
9x10^2 which sentence matches the question assigned
Answers
The computation of the index shows that the value of 9 × 10² will be 900.
How to calculate the indices?From the information given, we are told to calculate the value of 9 × 10². This will be calculated thus:
= 9 × 10²
Note that 10² simply means that you've to multiply 10 twice. This will be:
= 10 × 10 = 100
Therefore, 9 × 10² will be:
= 9 × 100
= 900
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multiply: (a+b),(a+b) and (a+b)
Answers
Answer:
Here,
[tex](a + b) [(a + b)(a + b)][/tex]
[tex](a + b)( {a}^{2} + 2ab + {b}^{2} )[/tex]
[tex]a( {a}^{2} + 2ab + {b}^{2} ) + b( {a}^{2} + 2ab + {b}^{2} )[/tex]
[tex] {a}^{3} + {2a}^{2} b + {ab}^{2} + {a}^{2} b + {2ab}^{2} + {b}^{3} [/tex]
[tex] {a}^{3} + 3 {a}^{2} b + {3ab}^{2} + {b}^{3} [/tex]
Thus,[tex](a+b)^3=a^3+3a^2b+3ab^2+b^3[/tex]
Thus, in case of multiplication of a binomial or a trinomial by a binomial or a trinomial each term of the binomial or the trinomial should multiply each term of the given binomial or the trinomial and if needed, simplification should be performed.
Can someone pls help quickly?
Answers
From the question given above, the ratio of L : W in simplified form is given as: 6 : 5. See the explanation below.
What is a ratio?A ratio, simply, can be defined as the quantitative relationship that exists between two values which is indicative of the number of times one value can be obtained from the other.
What is the explanation for the solution above?Step 1 - Indicate your assumptionsLet X be the width of one of the rectangles and let its height be Y.
It is clear from the image that:
4X = 3Y
Hence
(4/3)X = Y
Therefore,
Lenght (L) = 3Y
= 3 (4/3)X
= 4X
Width (W) = Y + 2X
= (4/3)X + 2X
= (10/3)X
Therefore,
L : W = 4X: 10/3X
= 4:10/3
To remove the fraction, multiply both sides of the ratio by 3
= 12 : 10, furhter simplify by halving each value, and we have
= 6:5
Hence, the ratio L: W in simplified form is 6 : 5.
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Which of the following functions best fits the data shown in the scatterplot below? y=100x+2y is equal to 100 x plus 2 y=20x2+10y is equal to 20 x squared plus 10 y=4x+8y is equal to 4 to the x th power plus 8 y=2x+5y is equal to 2 to the x th power plus 5
Answers
The equation of the scatter plot is (a) y = 100x + 2
How to determine the equation of the scatterplot?The line of best fit of the scatter plot passes through the points
(x,y) = (0,2) and (1,102)
Start by calculating the slope using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{102 - 2}{1 - 0}[/tex]
m = 100
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 100(x -0) + 2
Evaluate
y = 100x + 2
Hence, the equation of the scatter plot is (a) y = 100x + 2
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SO CONFUSED PLEASE SOMEONE EXPLAIN! DUE SOON AND NEED HELP!!!!!!!! QUESTION IN PICTURE BELOW
Answers
Answer:
=> Apply law of cosine
[tex]c^2=a^2+b^2-2abcos\left(C\right)[/tex]
=> input value
[tex]z^2=6.5^2 + 9.4^2-\left(6.5\right)\left(9.4\right)\left(cos\left(131\right)\right)[/tex]
=> simplify
[tex]z=\sqrt{\left(6.5^2+\:9.4^2\right)-\left(6.5\right)\left(9.4\right)\left(-0.65605902899\right)}[/tex]
=> calulcation
[tex]z=\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61},\:z=-\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61}[/tex]
=> apply rule: Distance must be greater than 0
which is about 14.51828
If the probability that a person over 40-year-old is diabetic, is 0.55
and the probability that a person has hypertension is 0.62. If a person
is selected randomly, find the probability that he is diabetic and and has hypertension
Answers
Answer:
0.341
Step-by-step explanation:
Multiply the probabilities: 0.55 * 0.62 = 0.341
Which of the following statements must be true about parallelogram ABCD?
Options are below
Answers
Answer: [tex]\angle A+\angle D=180^{\circ}[/tex]
Step-by-step explanation:
Adjacent angles of a parallelogram are always supplementary.
Which one is the right conversion?
Answers
Answer:
1, 4, 5, 6
Step-by-step explanation:
to convert a rational to an exponential it's the index (number left of radical) over the power (number on the right).
you can also double check by plugging both into a calculator and see if they equal the same number.
What is the volume, in cubic meters, if the prism below?
Answers
=================================================================
Explanation:
Imagine rotating the figure so that the triangular face is flat on the ground. This makes the triangular faces to be the floor and ceiling of this room.
The floor is a triangle with base 24 meters and height 7 meters. The floor area is base*height/2 = 24*7/2 = 84 square meters.
Multiply this floor area with the height of the room (22 m) to get the volume of the room.
volume = (floor area)*(height) = 84*22 = 1848 cubic meters
Solve for x
x/8 = 3/5 give your answer as an improper fraction in its simplest form
Answers
Answer:
24/5
Step-by-step explanation:
x is 4.8, improper simplified is 24/5
E
6m
10m
8m
F
1.1
Calculate the length of the following
a)
DG
b)
EF
1.2 Determine the value of x
1.3
Given 17sinA-15-0 and 0° SA≤90°
Determine the values of the following with the aid of a diagram
a)
tan A
b)
1-cosA
c)
cos¹ A-cosecA
1.4 Simplify the following fraction WITHOUT USING A CALCULATOR
tan 45°.sin 30°-cot45°
sec 60⁰
මමමමම
(1)
(4)
(2)
(5)
(23)
Answers
The value of the tanA is 15/8, and the value of the 1 - cosA is 9/17 after calculating the base length which is 8 units.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
Here the diagram and some data are missing.
But using Pythagoras or trigonometric ratio we can find the length.
We have:
17sinA-15-0
sinA = 15/17
Using Pythagoras theorem:
Base length = √(17² - 15²) = 8 units
= tanA = 15/8
= 1 - cosA = 1 - 8/17 = 9/17
We can find the rest of the trigonometric ratio.
Thus, the value of the tanA is 15/8, and the value of the 1 - cosA is 9/17 after calculating the base length, which is 8 units.
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41 is a prime number found in the middle of a list of 7 consecutive numbers. find the 7 consecutive numbers
Answers
Answer: 29, 31, 37, 41, 43, 47, 53.
Step-by-step explanation:
what is the mean of 12342634
Answers
Answer:
Mean = 3.125 ≈ 3.13
Step-by-step explanation:
Mean = Sum of numbers = 1 + 2 + 3 + 4 + 2 + 6 + 3 + 4 = 25 = 3.125≈3.13
Amount of number 8 8
I don’t quite understand this problem could someone help me please
Answers
Answer:
[tex]\frac{7\sqrt{65}}{65}[/tex]
Step-by-step explanation:
Cosine is the ratio of the side adjacent to the angle and the right triangle hypotenuse.
[tex]cos[/tex] B = [tex]\frac{7}{\sqrt{65}}[/tex] = [tex]\frac{7\sqrt{65}}{65}[/tex]
PLEASE ILL GIVE 25 POINTS ANS MARK BRAINIEST IF SOMEONE GIVES ME THE RIGHT ANSWER PLEASE PLEASE PLWASE
Answers
Answer:
Circumference: 25.12m
Area: 50.24 [tex]m^{2}[/tex]
Step-by-step explanation:
Formula for circumference of a circle: C=[tex]\pi d[/tex] or C=[tex]2\pi r[/tex] since the diameter is double the radius
C=3.14*2*4=3.14*8=25.12
Formula for area of a circle: A=[tex]\pi r^{2}[/tex]
A=3.14*[tex]4^{2}[/tex]=3.14*4*4=3.14*16=50.24
20. THOUGHT PROVOKING There are 100 coins in a bag.
Only one of them has a date of 2010. You choose
a coin at random, check the date, and then put the
coin back in the bag. You repeat this 100 times. Are
you certain of choosing the 2010 coin at least once?
Explain your reasoning.
Answers
Answer:
yes
Step-by-step explanation:
yes, because there is a 99/1 chance. also, you can put 50 2010 coins in.
Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.
A)
g(x) = −(1∕3)x
B)
g(x) = 3−x
C)
g(x) = −3−x
D)
g(x) = −3x
Answer: D
Answers
Answer:
the answer is D
hope it will help
Select the correct answer.
This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert.
x + 2y = 82
3x + y = 96
By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?
A.
$6
B.
$8
C.
$10
D.
$12
E.
$14
Answers
Answer:
$12
Step-by-step explanation:
x+2y=82........(1)
3x+y=96.........(2)
y=96-3x...........(3)
x+2y=82
x+2(96-3x)=82
x+192-6x=82
-5x=82-192
-5x=-110
x=-110÷-5
x=22
y=96-3x
y=96-3(22)
y=96-66
y=30
Therefore,x=22 and Y=30
so silver= x =22
gold= y = 30
y=30;x=22
=30-22
-12
Therefore $12