Answer:
mean=10*1/2=5
variance=10*1/2*1/2=2.5
standard deviation=sqrt2.5=1.58
Step-by-step explanation: Hope this helps Have a good day :)
A random sample of 388 married couples found that 294 had two or more personality preferences in common. In another random sample of 566 married couples, it was found that only 38 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.
Solution :
Given :
[tex]$n_1=388$[/tex] , [tex]$x_1 = 294, \ n_2 = 566, \ x_2 = 38$[/tex]
Sample proportion, [tex]$(\hat p_1)=\frac{x_1}{n_1}$[/tex]
[tex]$=\frac{294}{388}$[/tex]
= 0.7577
Sample proportion, [tex]$(\hat p_2)=\frac{x_2}{n_2}$[/tex]
[tex]$=\frac{38}{566}$[/tex]
= 0.0671
For 95 % CI, z = 1.96
The confidence interval for the population proportion,
[tex]$p_1-p_2=(\hat p_1-\hat p_2)\pm z \left\{\sqrt{\frac{\hat p_1 \times (1- \hat p_1)}{n_1}+\frac{\hat p_2 \times (1- \hat p_2)}{n_2}}\right\}$[/tex]
[tex]$=(0.7577-0.0671)\pm 1.96 \left\{\sqrt{\frac{0.7577 \times (1- 0.7577)}{388}+\frac{0.0671 \times (1- 0.0671)}{566}}\right\}$[/tex]
[tex]$=0.6906 \pm 1.96 \times \left 0.0241$[/tex]
= [tex]$0.6906 \pm 0.0472 $[/tex]
Lower limit : 0.6906 - 0.0472 = 0.6434
Upper limit : 0.6906 + 0.0472 = 0.7378
One equation in a system isy = 2x - 4. Which equation gives the system no solution?
y = 2x - 4
y = -2x + 4
y = 2x + 9
y = 14x - 4
Answer:
number 3 will be right
Step-by-step explanation:
The correct statement is : y=2x+9
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The linear equation is y=2x-4
Now the equation y=2x+9
equating both linear equations are
2x-4=2x+9
-4=9 which is not possible
Thus the incorrect equation that gives no solution is y=2x+9
Learn more about linear equations here:
https://brainly.com/question/29739212
#SPJ6
Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.
Based on the graph, we can see that the possible values of X are 2, 3, and 4. The probability of X = 2 is 0.36, the probability of X = 3 is 0.48, and the probability of X = 4 is 0.16.
What is probability?Probability is a measure of the likelihood of an event occurring. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Based on the graph, we can see that the possible values of X are 2, 3, and 4. The probability of X = 2 is 0.36, the probability of X = 3 is 0.48, and the probability of X = 4 is 0.16.
We can also see that the distribution is skewed to the right, meaning that the most likely outcome is X = 3, which occurs with a probability of 0.48.
This makes sense, since the chimpanzee is more likely to have 2 babies in one pregnancy and 1 baby in the other, which would result in a total of 3 babies.
Thus, the graph provides a visual representation of the probability distribution for X and helps us to understand the relative likelihood of each possible outcome.
For more details regarding probability, visit:
https://brainly.com/question/30034780
#SPJ2
Life Span of Cats (in years)
The life spans of eight different cats were used to create the box plot shown above. Which of the following is the interquartile range of the set of life spans?
A.
5
B.
7
C.
3.5
D.
9
Answer:
5
Step-by-step explanation:
Answer:
i think its D.9
Step-by-step explanation:
cause 8 - 17 is 9
Please help! Only have 30min !
Step-by-step explanation:
to change or make better - reform
???
right to vote - suffrage
runaway reading slave - Frederick Douglass
newspaper - the north star
she was women's right activist - Susan B
william lloyd garrison newspaper - the liberator
fight to reform prison - Dorthea Dix
A bus left Suva at 7.30am and arrived in Tavua at 11.00am. It covered a
distance of 350km. Fin the speed of the bus.
Answer:
100 km/hr
Step-by-step explanation:
11:00 a.m. less 7:30 a.m. works out to 3:30 hours (3 hours 30 minutes).
Then the speed of the bus was
350 km
--------------- = 100 km/hr, or about 62.5 mph
3.5 hrs
Answer:
100 km/hr
Step-by-step explanation:
Givens
T = 11:00 - 7:30
T = 3 hours 30 minutes
T = 3 1/2 hours
t = 3.5 hours
d = 350 km
Formula
d = v * t
Solution
350 km = v * 3.5 Divide by 3.5
350 km / 3.5 hours = v
350 / 3.5 = v
v = 100 km/hour
Fill in the missing numbers in these equations
a.- 2⋅(- 4.5) = ?
b.(- 8.7)⋅(- 10) = ?
c.(- 7)⋅? = 14
d.?⋅(- 10) = 90
Which is equivalent to 99.5(50)?
Answer:
49.75 i think
Step-by-step explanation:
Help me please , thank you so much
Domain: All real numbers, or (-∞,∞) depending on how you want to write it.
Range: [-4, ∞)
Vertex: (-2, -4)
Axis of symmetry: x = -2
Interval of increase: (-2, ∞)
Interval of decrease: (-∞, -2)
Y-int: (0, 0)
X-int/Zero/Solution(s): (-4, 0) and (0, 0)
For a polynomial function like this, which is a quadratic function, the domain is always negative infinity to positive infinity, or all real numbers.
The range is the lowest y-value to the highest y-value. The lowest y-value for this is at the vertex, but the function has no upper limit for the y-value.
The vertex is the point that you can very clearly see is at the tip of the graph.
Axis of symmetry is the vertical line that splits the graph in half at the vertex.
Interval of increase is the interval x values for which the function is increasing. The function increases to the right of the vertex.
Interval of decrease is to the left of the vertex.
The y-intercept is clearly (0, 0), where the graph intersects the y-axis.
The x-intercepts are also clear, since you can see where the graph intersects the x-axis.
The grocery store is located at (-6,5), the school is located at (8,5), and the library is located at (-6,-8). How much farther is the school from the grocery store than the library is from the grocery store?
Answer:
by 1 unit
Step-by-step explanation:
School to the grocery store is 14units
Library to grocery store is 13 units
14-13=1
Find the equations of the vertical and horizontal tangent lines of the following ellipse.
16x2 + y2 - 128x + 3y + 256 = 0
9514 1404 393
Answer:
x = 3.625; x = 4.375y = 0; y = -3Step-by-step explanation:
We can rewrite the equation to standard form to see the center and semi-axis lengths.
16x^2 -128x +y^2 +3y = -256
16(x^2 -8x +16) +(y^2 +3y +2.25) = -256 +256 +2.25
16(x -4)^2 +(y +1.5)^2 = 9/4 . . . . . write as squares
(x -4)^2/(9/64) +(y +1.5)^2/(9/4) = 1 . . . . divide by 9/4
((x -4)/0.375)^2 +((y +1.5)/1.5)^2 = 1 . . . . put in useful form
In this form, we have ...
((x -h)/a)^2 +((y -k)/b)^2 = 1
where (h, k) is the center, 2a is the length of the axis in the x-direction, and 2b is the length of the axis in the y-direction. The required tangents are ...
x = h±a
y = k±b
For the given ellipse, the tangent lines are ...
x = 4 -0.375 = 3.625, x = 4.375y = -1.5 -1.5 = -3, y = -1.5 +1.5 = 0A rectangle has a perimeter of 66 inches. The length is 5 inches longer than the width. What is the length of the rectangle?
A.19 in
B.14 in
C.30.5 in
D.28 in
Answer:
I think that it is A. 19
Step-by-step explanation:
I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.
P=66
L=19
W=14
Sorry if I'm wrong.
The diagram shows a rhombus inside a regular hexagon
Work out the size of x
Answer:
add a picture
Step-by-step explanation:
PLZ HELP 20 POINTS AND CHOOSING BRAINLIEST
can y'all pls help these☝️
Answer:
35x + 40
Step-by-step explanation:
$40 is the fee for the first day, then $35 is added for each additional day after the first day.
which shows the students in order from greatest test score to lease test score Alex 0.95 Octavia 16/20 Tonya 9/10 Wilson 0.87
Answer:
Alex (0.95), Tonya (0.90), Wilson (0.87), Octavia (0.80)
Step-by-step explanation:
To solve this, we have to convert all of the scores into either a decimal or a fraction. In this case, I will be solving all of them into decimals since it is easier.
Alex: 0.95
Octavia: 16/20 = 0.80
Tonya: 9/10 = 0.90
Wilson: 0.87
Therefore, we can order these from greatest score to least score.
Alex (0.95), Tonya (0.90), Wilson (0.87), Octavia (0.80)
Ms. McClain conducted an experiment
with a 6-sided number cube. The table
shows the number of times each number
landed:
(I'll give brainlist)
Answer: 1
Step-by-step explanation:
Experimental probability is the actual result you get from an experement.
Theoretical probability is the change that you will get that result.
(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)
therefore,
1/6 is the Theoretical probability because you are using a six-sided number cube.
for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.
1/6 equals 8/48.
therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.
6 is not one of the answer choices listed so 1 must be your answer.
PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex] R = \frac {3ST}{2S + T} [/tex]
Step-by-step explanation:
Given the equation;
[tex] \frac {3}{R} - \frac {1}{S} = \frac {2}{T} [/tex]
Rearranging the equation, we have;
[tex] \frac {3}{R} = \frac {2}{T} + \frac {1}{S} [/tex]
Lowest common multiple (LCM) of S and T is ST.
[tex] \frac {3}{R} = \frac {2S + T}{ST} [/tex]
Cross-multiplying, we have;
[tex] 3ST = R(2S + T) [/tex]
Making R, the subject of formula;
[tex] R = \frac {3ST}{2S + T} [/tex]
Chad completed 75% of a book when he read the first 180 pages. How many pages are in the book?
Answer:
240
Step-by-step explanation:
If 75% is 180, we need to find the remaining 25%.
Obviously, 25 is 1/3 of 75 (and "of" is another word for times) meaning that to find 25%, multiply 75% by 1/3.
Since 75% = 180, we do:
180 x 1/3
60
Now add these two values together to get:
180 + 60 = 240
The answer is 240
-Xax
if cathy myra and eva all take 2.0 h to walk from their house to their school at a rate of 1.0 m/s how far is their school from the house
work out the value of x.
Answer:
4.8
Step-by-step explanation:
area of rectangle = lxb = 8x
area of trapezium = (a+b)h/2 = ( x+13)6 /2 = 3x + 39
Aea of whole figure = 91.8
8x + 3x+ 39 = 91.8
11x = 91.8-39
x= 52.8 /11 = 4.8
I hope im right! !t
please help if anyone knows this!:)
Answer:
d
Step-by-step explanation:
because the 15ft length is the same as x
3.
Andre and Molly have a tree fort that consists of two rectangular rooms,
The upper level has a length of 5 feet, a width of 3 feet, and a helght
of 6 feet. The lower level has a length of 6 feet, a width of 5 feet, and a
height of 8 feet.
What is the combined volume of the two levels of the tree fort?
33 cubic feet
150 cubic feet
240 cubic feet
330 cubic feet
Help!
Answer:
330 cubic feet
Step-by-step explanation:
The formula for Volume is L (length) x W (width) x H (Hight)
So all we have to do is multiply the numbers for each floor and then add them together.
5 x 3 = 15 15 x 6 = 90
6 x 5 = 30 30 x 8 = 240
240 + 90 = 330
Now add you cubic feet since volume is cubed.
330 cubed feet
Thus, your answer is 330 cubed feet.
Hope this helps! :)
expand the square of a binomial (y^7-11)^2
Answer:
[tex]y^{14} -22y^7+121[/tex]
Step-by-step explanation:
This equation should help:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](y^{7}-11)^2\\\\=y^{14} +2*y^7*-11+11^2\\\\=y^{14} -22y^7+121[/tex]
Answer:
[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]
Step-by-step explanation:
[tex](y {}^{7 } - 11)( {y}^{7} - 11)[/tex]
First terms,
[tex]{y}^{14} [/tex]
Outer,
[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]
Inner,
[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]
Last,
[tex] - 11 \times - 11 = 121[/tex]
Add all terms up
[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]
Farrah works in a jewelry store and receives 12% commission when she makes a sale. How much commission will she receive for selling a $7,475 ring?
Answer:
$897
Step-by-step explanation:
12/100x7475/1=897
slope=1;y-intercept=-4
step by step help?
Answer: 4
Step-by-step explanation:
The volume of the polyhedron rounded to the nearest tenth is ______ cm3.
Answer:
Answer is 226.29cm³
Step-by-step explanation:
Volume of a cylinder is πr²h
22/7 *3²*8
=226.29cm³
The measure of arc AB is °.
The measure of angle AOB is °.
The measure of angle BDA is °.
Answer:
50,50,25
Step-by-step explanation:
Answer:
50,50.25
Step-by-step explanation:
If a rectangular garden has a length of 4 and a width of x-2,
what is the area of the rectangular garden?
Answer:
4x-2
Step-by-step explanation:
Area=Length × width or Length(width)
= 4(x-2)
=4x-2
Which is less expensive, riding every ride once or buying the one day pass?
GREAT MOUNTAIN PARK
$20.25
One Day Pass
Mountain Coaster
Tilt a Loop
Water Slide
Fast Drop
Swing a Ling
Merry Go Round
$4.50
$4.75
$4.00
$3.50
$2.75
$2.50
Answer:
The one day pass is less expensive.
Step-by-step explanation:
Add all of the rides (just use a calculator) and its 22 which is more than the pass.
