A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below:
Answer choices:
Compare P(Male or Type B) with P(Male | Type B). (5 points)
P(Male or Type B) > P(Male | Type B)
P(Male or Type B) = P(Male | Type B)
P(Male or Type B) < P(Male | Type B)
There is not enough information.
Answers
The option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
P(Male or Type B) = (number of male + number of type B - number that are both)/total population
[tex]\rm = \dfrac{103 + 50- 38}{200 }[/tex]
= 0.575
P(Male | Type B) = (number of male people inside the type B)/(number of Type B people)
= 38/(38 + 12)
= 0.76
0.575 < 0.76
P(Male or Type B) < P(Male | Type B)
Thus, the option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
Related Questions
Given parallelograms ABCD, AC=22, and AE=2x-5, find the value of x.
Answers
Answer:
D
Step-by-step explanation:
the diagonals of a parallelogram bisect each other , then
2 AE = AC ( substitute values )
2(2x - 5) = 22 ( divide both sides by 2 )
2x - 5 = 11 ( add 5 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
A game requires players to throw a ball into a target. The table below shows values from the function that represents one path of a thrown ball, where x represents the horizontal distance the ball travels in feet and f(x) represents the height of the ball in feet.
If the ball enters the target at the highest point in its path, based on the table, what is the height of the target?
1.5 feet
4 feet
28 feet
29 feet
Answers
The height of the target is 29 feet.
The correct option is (D)
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The given table path of the thrown ball,
where x represents the horizontal distance and f(x) represents the height of the ball.
Now,
when x = 1.25 feet horizontally, the height will be maximum.
also, the height of the ball at distance x = 1.25 feet is
f(1.25) = 29 feet.
Hence, height of the target is 29 feet.
Learn more about this concept here:
https://brainly.com/question/14206025
#SPJ1
Answer:
D. 29 feet
Step-by-step explanation:
Work out the value of (2^3)^2
Answers
Answer:
2⁶
Step-by-step explanation:
law of indices states multiplication of powers in and out of bracket 3×2=6
[tex]\text{Let's work out:: 2 to the power of 3 to the power of 2 }\\\text{We can start by raising 2 to the power of 3:: 2*2*2=8, then raising that}\\\text{to the power of 2:: 8*8=64}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{The value is 64}[/tex]
There are 130 people in a
sport centre.
73 people use the
gym.
62 people use the swimming pool.
58 people use the track.
22 people use the gym and the pool.
29 people use the pool and the track.
25 people use the gym and the track.
11 people use all three facilities.
A person is selected at random.
What is the probability that this
person doesn't use any facility?
Answers
Answer:
If 11 people use all three facilities, this means:
22 − 11 or 11 are using the gym and the pool but no the track,
29 − 11 or 18 are using the pool and the track but no the gym,
25 − 11 or 14 are using the gym and the track but no the pool.
How many people use the gym only?
130 − (14 + 11 + 11) = 94
How many people use the pool only?
62 − (18 + 11 + 11) = 22
How many people use the track only?
58 − (14 + 11 + 18) = 15
How many people go in for sports?
94 + 22 + 15 + 11 + 14 + 18 + 11 = 185
How many people use exactly one of the facilities?
94 + 22 + 15 = 131
What is the probability that the person uses exactly one of the facilities?
= 131/185 ≈ 0.7081
Step-by-step explanation:
its a bit confusing
Hope It Helps !!!!
Hii! I need some help, would anyone mind helping me?
Find the center of this hyperbola.
[tex]\boldsymbol{x^2-25y^2-14x+100y-76=0}[/tex]
[tex]\stackrel\bigstar{\boldsymbol{\underbrace{Thankyou!!}}}[/tex]
Answers
Step-by-step explanation:
[tex] {x}^{2} - 14x - 25 {y}^{2} + 100y = 76[/tex]
Factor by grouping,
[tex]( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76[/tex]
Complete the square, with the x variables,
[tex]( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125[/tex]
Factor out 25 for the y variables
[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125[/tex]
Complete the square
[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25[/tex]
Simplify the perfect square trinomial
[tex](x - 7) {}^{2} - 25(y - 2) {}^{2} = 25[/tex]
Make the right side be 1 so divide everything by 25.
[tex] \frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1[/tex]
Here our center is (7,2).
The least common denominator of 5/6, 2/3, and 3/5 is:
Answers
Answer:
30
Step-by-step explanation:
Ted is trying to change 0.43 to a fraction. Evaluate teds method so far
Answers
Step-by-step explanation:
[tex] = 0,43[/tex]
[tex] = \frac{0,43}{1} [/tex]
[tex] = \frac{0,43}{1} \times \frac{100}{100} [/tex]
[tex] = \frac{43}{100} [/tex]
Someone please explain this step by step:
If\begin{align*}
2x-y&=3,\\
x+y &=1,
\end{align*}compute $8x-7y$.
Answers
Answer:
13
Step-by-step explanation:
Perhaps the most straightforward way to find the value of the given function is to first solve the equations for x and y. The results can be substituted into your expression to find the value you want.
__
solving the systemWe notice the y-coefficients are opposites, so we can eliminate the y-variable by adding the equations.
(2x -y) +(x +y) = (3) +(1)
3x = 4 . . . . . . simplify
x = 4/3 . . . . . divide by 3
The value of y can be found from the second equation:
4/3 +y = 1 . . . . substitute for x
y = -1/3 . . . . . . subtract 4/3
expression valueThe value of 8x-7y is found by substituting the x- and y-values into this expression:
8(4/3) -7(-1/3) = 32/3 +7/3 = 39/3 = 13
The value of 8x-7y is 13.
_____
Additional comment
You can also work out what combination of the two equations will give 8x -7y. That turns out to be 5 times the first minus 2 times the second:
5(2x -y) -2(x +y) = 5(3) -2(1)
10x -5y -2x -2y = 15 -2
8x -7y = 13
__
The coefficients 5 and -2 are found by solving the system of equations ...
a(2x -y) +b(x +y) ≡ 8x -7y ⇒ {2a +b = 8, -a +b = -7}
Translate this sentence into an equation. the product of jenny's height and 4 is 52.
Answers
Answer:
4J = 52
Step-by-step explanation:
If Jenny's height is J:
4J = 52
Carter paid $201.75 for a camera and a memory card. if the 32 gb memory
card costs $12.35, and a discount of 20% is given to the camera, find the
regular price of the camera. estimate it to the nearest whole number.
Answers
The regular price of the camera is $227.
Given that, the total amount paid=$201.75 and the cost of the memory card=$12.35.
Cost of camera=201.75-12.35=$189.4
What is a discount?A discount is a deduction from the usual price of something. To discount means to deduct an amount from the price.
Discount is given to the camera=20%.
The regular price of the camera=189.4+20% of 189.4
=189.4+0.2×189.4=189.4+37.88=$227.28
The estimation to the nearest the whole number is $227.
Therefore, the regular price of the camera is $227.
To learn more about discount visit:
https://brainly.com/question/3541148.
#SPJ1
answer
yes do it your self
What will be the percentage of profit per annum by which Tk.13000 will be Tk.18850 as profit-principal in 5 years?
Answers
The simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.
What is simple interest?It is defined as the interest on based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount of borrowed amount.
We have given:
The principal amount, P = Tk 13000
Final amount A = Tk 18850
Number of years n = 5 years
Rate = r
I = A - P
I = 18850 - 13000 = Tk 5850
I = Pnr
5850 = 13000(5)(r)
r = 0.09
r = 9%
Thus, the simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ1
The time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5.5t. Which table of values matches the equation and includes only viable solutions?
Answers
The table that matches the equation is:
Time Calories
-20 -110
-10 -55
-15 - 82.50
-5 -27.50
What is the correct table?The correct table would contain values that are multiples of 5.5t
For example:
Total calories burned at 20 seconds : 5.5 x 20 = 110
Total calories burned at 10 seconds : 5.5 x 10 = 55
Total calories burned at 15 seconds : 5.5 x 15 = 82.50
Total calories burned at 5 seconds : 5.5 x 5 = 27.50
Please find attached the complete question. To learn more about multiplication, please check: https://brainly.com/question/3385014
#SPJ1
Answer:
The 2nd one
Step-by-step explanation:
its the right one
Based on a poll conducted by the Centers for Disease Control, 862 of 1013 randomly selected adults said that they always wear seat belts. Construct and interpret a 95% confidence interval for the proportion of adults who always wear seat belts.
Answers
The confidence interval is 0.028, 0.872
Given862 of 1013 randomly selected adults wear seat belts.
The 95% confidence interval for the proportion of adults who always wear seat belts.
What is confidence interval?A Confidence Interval is defined as a range of values we are sure our true value lies within it.
What is 95% confidence interval?A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.
= 862/1013 = 0.85
At a 95% confidence interval ,the critical value is [tex]z_{0.025} = 1.96[/tex]
The 95% confidence interval for proportion is
[tex]\widehat p +/- z0.025 * sqrt(\widehat p * (1 - \widehat p)/n)[/tex]
[tex]= 0.85 +/- 1.96 * sqrt(0.85 * (1 - 0.85)/1013)[/tex]
[tex]= 0.85 +/- 0.022[/tex]
= 0.028, 0.872
The sample should use at least 10 successes and 10 failures.
[tex]n * \widehat p = 1013 * 0.85 = 861 > 10[/tex]
[tex]n * (1 - \widehat p) = 1013 * 0.15 = 152 > 10[/tex]
As the sample size is larger, we can use an approximate formula for the standard error.
Learn more on Confidence intervals here:
https://brainly.com/question/8961482
#SPJ4
What is the area of the shaded sector of the circle? 9pi units squared 27pi units squared 81pi units squared 162pi units squared
Answers
Answer:
27
Step-by-step explanation:
i promise :)
Answer:
27π units^2
Step-by-step explanation:
Use the commutative property to simplify the expression 4/3 + 3/4 + 2/3
Answers
The simplified expression using the commutative property is : [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]
Meaning of commutative propertycommutative property can be defined as a mathematics attribute that is possessed by a mathematical equation, that enables the objects undergoing addition or multiplication to change position.
In conclusion, The simplified expression using the commutative property is : [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]
Analysis4/3 + 3/4 + 2/3 = ( [tex]\frac{4}{3}[/tex] + [tex]\frac{2}{3}[/tex] ) + [tex]\frac{3}{4}[/tex] = [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]
Learn more about commutative property: https://brainly.com/question/1528288
#SPJ1
The radius of the water well is 2r inches. Find the area of the water well.
Answers
The area of the water well is [tex]4\pi r^2[/tex]
How to determine the area?The radius is given as:
Radius, R = 2r
The area of the water well is calculated using:
[tex]A = \pi R^2[/tex]
This gives
[tex]A = \pi (2r)^2\\\\\\[/tex]
Evaluate the expression
[tex]A = 4\pi r^2[/tex]
Hence, the area of the water well is [tex]4\pi r^2[/tex]
Read more about area at:
https://brainly.com/question/24487155
#SPJ1
pls help me with this question
Answers
Answer:
D, C
Step-by-step explanation:
for part a, there is a negative slope with the graph shifted two units upwards
for part b, if you plug in C, you get an answer that works
Find cos (330°). Your answer MUST be in radical form.
Answers
Step-by-step explanation:
square root 3 divided by
2
Calculate the cost of the number of units used
Answers
Step-by-step explanation:
calculated the cost of numbers of units usex
The circuit is working, and all three bulbs are lit. If a switch at A is opened,
what will happen to the circuit?
•
A. All three bulbs will stay lit
B. All three bulbs will go out.
C. Bulbs 1 and 2 will go out, but bulb will remain lit.
D. Bulb 1 will go out, but bulbs 2 and 3 2 will remain lit.
Answers
Answer:
B.
Step-by-step explanation:
Since all bulbs are connected in series, by opening switch A, you break the series connection, and all bulbs go out.
Point C is the center of the circle.
Options to the second answer are
A. One-half the measure of angle C
B. Not related to the measure of angle C
C. The complement of angle C
D. Equal to the measure of angle C
Answers
Answer:
D
Step-by-step explanation:
Because.............
4x^{4}-x^{2} -12x-36
Answers
Answer:
(x-2)(4x³+8x²+15x+18)
simplify the equation. 3(x+2)-9x+5
Answers
Distribute
3(x + 2) - 9x + 53x + 6 - 9x + 5Add the numbers
3x + 6 - 9x + 53x + 11 - 9xCombine like terms
3x + 11 -9x-6x + 11Distribute
3(x + 2) - 9x +5
3x + 6 - 9x + 5
Add the numbers
3x + 6 - 9x + 5
3x + 11 - 9x
Combine like terms
3x + 11 - 9x
6x + 11
a jacket is on sale for 30% of and its £42 after discount whats the original price
Answers
Answer:
£60
Step-by-step explanation:
70% of original price = £42
100% of original price = £42 * 10/7 = £6 * 10 = £60
HELP, FAST!!!
choose an equation for the graph
Answers
Answer:
The equation of the graph is y = -lx - 4l - 1.
Step-by-step explanation:
As the values of y are same before and after (4, -1)
the slope of the graph is change on point (4, -1)
the equation of first line is
y - (-1) = 1 (x -4)
the equation of the second line is:
y - (-1) = -1 (x - 4)
As value of y should remain same in both equations
therefore: y - (-1) = - lx - 4l
y = - lx - 4l -1
The equation of the graph is y = -lx - 4l - 1.
Learn more about to write equation from graph here - https://brainly.com/question/8498923
#SPJ10
What is the 17th term in the arithmetic sequence an=77+(n-1)(-5)
Answers
Answer:
a₁₇ = - 3
Step-by-step explanation:
substitute n = 17 into the nth term rule
a₁₇ = 77 + 16 × - 5 = 77 - 80 = - 3
Step-by-Step Explanation:
=> an = 77 + (n - 1)(-5)
Therefore,
=> a = 77
=> d = -5
=> n = 17
Substitute Values in the Formula :-
an = a + (n - 1)(d)
an = 77 + (n - 1)(-5)
a17 = 77 + (17 - 1)(-5)
a17 = 77 + 16(-5)
a17 = 77 - 80
=> a17 = -3
Hence, the 17th Term of the A.P is -3
The nth term of a sequence is -2n - 4. Work out the 50th term of the sequence.
Answers
Answer:
-104
Step-by-step explanation:
1) Substitute 50 into n.
-2(50) - 4
-100 - 4
-104
Which of the following is a like radical to 3√6x^2
x(3√6x)
6 (3√x²)
4 (3√6x²)
x(3√6)
Answers
Answer:
x(3√6)
Step-by-step explanation:
Radicals:
Take out a variable or number for every pair of the variable or number inside the radicals
[tex]\sf 3\sqrt{6x^2}=3*\sqrt{6*x*x}\\\\[/tex]
[tex]\sf = 3x \sqrt{6}[/tex]
A random sample is taken and the sample size is 25. the sample is normally distributed, the sample mean is 80, and the standard deviation is 5.5. find a 90% confidence interval for the population mean.
Answers
The 90% confidence interval for the population mean is 78.1905<x<81.8095
Confidence intervalThe formula for calculating the confidence interval is expressed as:
CI = x ± z*s/√n
Given the following parameters
mean "x" = 80
z = 1.645
s = 5.5
n = 25
Substitute
CI = 80 ± 1.645*5.5/√25
CI = 80 ± 1.8095
CI = {78.1905, 81.8095}
Hence the 90% confidence interval for the population mean is 78.1905<x<81.8095
Learn more on confidence interval here: https://brainly.com/question/2141785
#SPJ1
5
·?
16. Which of the following is equivalent to 49
05-7²
O 5(7²)
O 5(72)
1
5(7²)
O
Answers
Step-by-step explanation:
[tex] = 49[/tex]
[tex] = 7 \times 7[/tex]
[tex] = {7}^{1 + 1} [/tex]
[tex] = {7}^{2} [/tex]
