Answer:
[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]
Step-by-step explanation:
Given
[tex]Children = 3[/tex]
Required
List all cases of having at least 1 girl
We have:
[tex]B = Boy[/tex]
[tex]G = Girl[/tex]
For 1 girl, we have:
GBB; BGB; BBG
For 2 girls, we have:
GGB; BGG; GBG
For 3 girls, we have:
GGG
Hence, the list is:
[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]
An article reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 110 times per second for 300 seconds, for a total of 33000 measurements. Find a 95% confidence interval for the population correlation rho. Round the answers to four decimal places.
Answer:
95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505
Step-by-step explanation:
Given the data in the question;
correlation coefficient y between output and time under a load of 588 N was −0.9515
so first we determine the quantity W.
we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])
we substitute -0.9515 for r
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])
W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )
W = [tex]\frac{1}{2}[/tex]( -3.6948975 )
W = - 1.8474
So the quantity W is normally distributed with standard deviation given by;
σ[tex]_w[/tex] = 1 / √(n - 3)
given that n is 33,000, we substitute
σ[tex]_w[/tex] = 1 / √(33,000 - 3)
σ[tex]_w[/tex] = 1 / √32997
σ[tex]_w[/tex] = 0.0055
Now, at 95% confidence interval, μ[tex]_w[/tex] will be;
⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )
⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078
⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366
So to obtain 95% confidence interval for p, we use the following equation;
we transform the inequality
p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]
we substitute
[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]
[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]
[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]
[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]
-0.9525 < [tex]p[/tex] < -0.9505
Therefore, 95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505
Which previewing strategy would work best for a topic you have heard of before?
a.
using prior knowledge
c.
skim the introduction and conclusion
b.
identify text structure
d.
none of the above
Answer:
A- using prior knowledge
Step-by-step explanation:
HELP ME WITH THISSS!!!!!!!!!!!!!!!!!!!
Help me somebody pleaseeee
choose the expression that represents the fraction as a product of a whole number and a unit fraction 4/10
Answer:
69
Step-by-step explanation:
trust me
Washington (CNN) About three-quarters of Americans (77%) approve of President Donald Trump's decision to meet with North Korean leader Kim Jong Un, according to a new CNN pollconducted by SSRS. Trump's approval rating for handling the situation with North Korea has jumped 10 points since late March.
...
The CNN Poll was conducted by SSRS May 2-5 among a random national sample of 1,015 adults reached on landlines or cellphones by a live interviewer. Results for the full sample have a margin of sampling error of plus or minus 3.6 percentage points; it is larger for subgroups.
Assuming that the level of confidence and the statistic remain the same what would happen to the Margin of Error if they had surveyed 2,030 adults instead of 1,015?
a. The margin of error would increase.
b. The margin of error would decrease.
c. The margin of error would stay the same.
d. It will depend on how the people in the sample respond.
Answer:
b. The margin of error would decrease.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.
In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.
The length of a rectangular platform is 2 feet longer
than three times its width. The area of the platform is
56 square feet. What are the width and the length
of the platform?
Answer: Length: 14; Width: 4
Step-by-step explanation:
(D) Work out
1/4 of 28
Answer:
1/4 ×28=7 ::*^ jghjnryh
Answer:
7
Step-by-step explanation:
[tex]\left(\frac{1}{4}\right)\cdot28[/tex]
[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]
[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]
You should divide both the numerator and the denominator by 4 and get 7 as a result of that.
A square has a perimeter of 67 inches. What is the area of the square?
Answer:
280.56 in
Step-by-step explanation:
A square has 4 sides
67/4 = 16.75
All 4 sides are 16.75
Now, area of a square
16.75 x 16.75 = 280.5625
Round to Hundreths, 280.56.
280.6
i took the test................................
y = x2 – 3x + 2
use the discriminant to determine the number of solutions
Answer:
2 real solutions
Step-by-step explanation:
The formula for determining the discriminant is b² - 4ac.
So, let's identify our variables.
a = 1
b = 3
c = 2
Now, we can plug in our values.
3² - 4(1)(2)
9 - 8
1
1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.
The winning height for the men's Olympic high jump has been increasing each year. A regression line of the data is y = 0.23x + 70.8, where
y is the height of the men's winning jump in inches and x is the number of years since the first Olympics in 1896.
Which statement best describes the meaning of the y-intercept of the regression line?
A. The winning men's high Jump helght of the first Olympics was about 0.23 inches.
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
C. Each year the winning men's high jump helght is predicted to increase by 0.23 inches.
D. Each year the winning men's high jump helght is predicted to increase by 70.8 inches.
The y intercept of the equation is the 70.8.
The answer would be
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
Answer:
the answer is c
Step-by-step explanation:
because x is the number of years since the first olympics in 1896 you would multiply x=225 for 2021 by 0.23in and get 51.75in which is how much the winning jump went up over the years. so it is predicted to rise by 0.23in every competition.
A trapezoid has interior angle measures of 90,90 ,75 and X degrees. Find the measure of angle x in the trapezoid. Enter only the number of degrees in the answer box. Angle x measures degrees.
The angles inside a trapezoid add up to equal 360 degrees
X = 360-90-90-75 = 105 degrees.
HELP PLEASEEEEEEEE I NEED HELP ASAP
Answer: Fish tank = 9 other fishtank= 9,000 Jewlery box=9 other jewelry box=320
CANT SEE OTHER SORRY
Step-by-step explanation: Ok first IK UR NOT IN COLLEGE second dont
cheat imma give ya answer to be noice
HALLLPPP I RLLY NEED UR HELLLPP PLSSSS!!!
(And pls explain how exactly you got your answer thank you so much!)
Find the Compound Interest.
Principal: 1,000
Interest Rate: 3%
Time: 3 years
Answer:
92.727
Step-by-step explanation:
The formula for compound interest is [tex]P((1+i)^{t} -1)[/tex], where P is the principal amount, i is the interest rate and t is the time. Sub your values into this formula to find your answer.
1000((1+0.03)³-1)
1000(1.03³-1)
1000(1.092727-1)
92.727
1000(0.092727)
What does b equal in the picture below?
Answer:
87
Step-by-step explanation:
just subtract 16 from 103
Which equation is represented by the graph below?
Answer:
Its the third answer choice
Step-by-step explanation:
Hope this helped!!!
Santino fires a paintball 3 meters from the ground such that the initial trajectory is perfectly horizontal. Assume the paintball does not hit anything and the ground is level. When will the paintball hit the ground?
find the cost of 72 books at 5.75
Answer:
72×5.75=414
Step-by-step explanation:
is the cost of 72 books
drag the numbers and the parentheses to create an equivalent addition sentence that illustrates the associative property of addition
(3+4)+2=9
Answer:
It would be (3+2)+4=9
Step-by-step explanation:
you just have to switch to numbers.
solve (2x3-5x2+8)(x+3)
Answer:
[tex](2 {x}^{3} - 5 {x}^{2} + 8)(x + 3) \\ = (2 {x}^{4} - 5 {x}^{3} + 8x + 6 {x}^{3} - 15 {x}^{2} + 24) \\ = 2 {x}^{4} + {x}^{3} - 15 {x}^{2} + 8x + 24[/tex]
Answer:
[tex]2x^{4} + x^{3} - 15x^{2} + 8x + 24[/tex]
Step-by-step explanation:
Mark as Brainllest
10h + hx=d-5 solve for h
Answer:
Hey!!
Step-by-step explanation:
h = d − 5 /10 + x
Hope this helps!
Have a nice day<3
PLEASE PLEASE PLEASE
Answer:
C
Step-by-step explanation:
30 x 60 x 70 = 126,000
90 x 60 x 30 = 288,000
288,000 + 126,000 = 288,000cm^3
Answer: 288,000 [tex]cm^{3}[/tex]
Step-by-step explanation:
first, break down the shape thingy into two different shapes. there's more than one way to do it, but i'll be cutting the shape horizontally at the corner of the L shape (where the 40 cm and 90 cm lines connect)
small prism dimensions: 60 x 30 x 40 = 72,000
large prism dimensions: (30+90) x (70-40) x 60 / 120 x 30 x 60 = 216,000
add them to get 288,000 [tex]cm^{3}[/tex]
simplify this question
Answer:
8192
Step-by-step explanation:
The answer is 8192 but in your multiple-choice problem it's [tex]2^{13}[/tex]
Which expression is equivalent to? (first picture) Assume (second picture)
Answer choices:
A –50x8y18
B –2x8y18
C –2x12y72
D 5x8y18
Please help mehhhhhh
Answer: They should be 1.5 apart from each other
Somebody help me with the question
Given the feasible region graphed below, where will the maximum value of the objective function f(x, y) = −2x + y − 1 occur?
a. (3, 0)
b. (−3, 0)
c. (0, −3)
d. (0, 0)
The maximum value of the objective function occurs at (-3, 0). The correct option is (-3, 0).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) and x ∈ X and y ∈ Y.
The objective function is given as f(x, y) = −2x + y − 1.
For the maximum value all the options are analysed one by one as follows,
(a) Substitute x = 3 and y = 0 in the given objective function to obtain,
-2 × 3 + 0 - 1 = -7
(b) Substitute x = -3 and y = 0 in the given objective function to obtain,
-2 × -3 + 0 - 1 = 5
(c) Substitute x = 0 and y = -3 in the given objective function to obtain,
-2 × 0 + -3 - 1 = -4
(d) Substitute x = 0 and y = 0 in the given objective function to obtain,
-2 × 0 + 0 - 1 = -1
Hence, the maximum value of the given objective function occurs at (-3, 0).
To know more about function click on,
https://brainly.com/question/21145944
#SPJ2
There are 60 pupils who joined the Math Quiz Competetion. 40 were boys and 20 were girls. During the Awarding ceremony, it was found out that 20% of the boys and 15% of the girls won and receieve prizes. How many receieved prizes? Brainly.Ph Please Paki Sagot po In English Kailangan ko na po ngayon!! :)
Answer:
Total number of pupils who received the prize = 10
Step-by-step explanation:
Number of boys in the Math Quiz Competition = 40
Number of girls = 20
Percentage of girls who received the prize = 20%
Therefore, number of girls who received prize = 20% of 20
= [tex]20\times \frac{20}{100}[/tex]
= 4
Percentage of boys who received the prize = 15%
Therefore, number of boys who received the prize = [tex]40\times \frac{15}{100}[/tex]
= 6
Total number of pupils who received the prize = 4 + 6 = 10
Five boxes of fruit snacks cost $22.50.
How much would three boxes cost?
How much would nine boxes cost?
How much would x boxes cost?
Answer:
13.5 answer is 13.5 and one cost 4.5
Write down the reciprocal of 8
Answer: 1/8
Step-by-step explanation:
Concept
Reciprocal is any number that is reverse to the given value. This means the original number times the reciprocal will equal 1. For a more graphical explanation, please refer to the attachment below.
Solve
8×(x)=1
x=1/8
Hope this helps!! :)
Please let me know if you have any questions