Answer:
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
What would the exponential growth model be for the given situation?
The following points are dilated at a center at point C by each of the following scale factors.
Plot and label the image points.
(a) A is dilated by a scale factor of 3.
(b) B is dilated by a scale factor of 2.
(b)D is dilated by a scale factor of 1 1/3
(d) E is dilated by a scale factor of 0.5.
Answer:
(a) A is dilated by a scale factor of 3.
Step-by-step explanation:
where the imagine
Michael has $10 to put in a savings account . He has two options for a saving account : Option 1 will add $ 100 to his account each week . - Option 2 will double the amount in his account at the end of each week . a) Write a function in terms of x to model each option of savings . b) Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike. Determine which option (s) will enable him to reach his goal. Justify your answer.
Answer:
Option 1:
He starts with $10, and for each week, we add $100
Then his balance as a function of weeks will be:
f(w) = $10 + $100*w
option 2.
Again, we start with $10, and for each week that passes this is doubled, then the equation will be:
g(w) = $10*(2)^w
Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.
option 1:
f(7) = $10 + $100*7 = $710
With option 1 he will have enough
option 2:
g(7) = $10*(2)^7 = $1280
Again, he will have more than $700 in week 7, and we can clearly see that this option is better.
Geometric proofs of segments
Again..
Given: B is the midpoint of AC
C is the midpoint of BD
Prove: AD=3AB
This one hurts to look at
Answer:
The proof is shown below.
Step-by-step explanation:
Given: B is mid point of AC and C is mid-point of BD.
To prove: AD=3AB
It is given that B is mid-point of AC.
⇒ AB = BC ...(1)
Also, C is mid-point of BD.
⇒ BC = CD ...(2)
From (1) and (2),
AB = BC = CD
Now, AD = AB + BC + CD
⇒ AD = AB + AB + AB (∵ AB = BC = CD )
Hence proved.
How do I estimate 0.509375
Answer:
round it to the nearest whole number.
Step-by-step explanation:
help woth this please
Hey again!
The answer to your question is 3.8
We can do 1.9 x 2 = 3.8
Hope it helps! Let me know if you need more help.
Find the value of the question mark. *
Answer: -2m - 3n
Step-by-step explanation:
a(m+n)/a(−2n−m) = 1/ax
Rewrite the equation as 1/ax = am+n/a−2n−m.
1/ax = am+n/a−2n−m
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln( 1/ax ) = ln ( am+n/a^{−2n−m})
Expand the left side.
−x ln(a) = ln (am+n/a^{−2n−m})
Expand the right side.
−x ln (a) = (m + n) ln (a) − (−2n − m) ln (a)
Simplify (m + n) ln (a) − (−2n − m) ln (a).
−x ln (a) = 2m ln (a) + 3n ln (a)
Move all the terms containing a logarithm to the left side of the equation.
−x ln (a) −2m ln (a) − 3n ln (a) = 0
Move all terms not containing x to the right side of the equation.
−x ln (a) = 2m ln (a) + 3n ln (a)
Divide each term by −1 ln (a) and simplify.
x = −2m − 3n
pls give brainliest :)
[tex] \frac{ \frac{8}{5} }{ \frac{2}{25} - \frac{5}{16} } [/tex]
What is the answer of this?
Answer:
[tex]\bold{\dfrac{\frac85}{\frac{2}{25}-\frac{5}{16}}=-6\frac{82}{93}\approx-6,88}[/tex]Step-by-step explanation:
[tex]\dfrac{\frac85}{\frac{2}{25}-\frac{5}{16}}=\dfrac{\frac85}{\frac{32}{400}-\frac{125}{400}}=\dfrac{\frac85}{-\frac{93}{400}}=\\\\\\=\frac85\cdot(-\frac{400}{93})=\frac81\cdot(-\frac{80}{93})=-\frac{640}{93}=-6\frac{82}{93}\approx-6,88[/tex]
What is the median in this set of data?
14, 19, 26, 28, 18, 21, 30, 27
Answer:24
Step-by-step explanation:
Since the numbers in the middle are 21 and 27, you add both and divide by 2 to get the number in the middle of those 2.
Answer:
24
Step-by-step explanation:
it is the median in the set.
for each value of y , determine whether it is a solution to 3y<24.
Answer:
1) No
2) Yes
3)No
4)Yes
Step-by-step explanation:
1) 3(8) is simplified to 24
But 24 < 24 is not a true statement because they are both equal.
2) 3(5) is simplified to 15
15 < 40 is a true statement because 15 is less than 24
3) 3(11) simplifies to 33
33 < 24 is not a true statement because 33 is more than 24
4) 3(6) simplifies to 18
18 < 24 is a true statement because 18 is less than 24
Hope this helped.
8. Solve for x:
3x + 8x = 44
A x= 4
B x= 44/11
C x= 11
D x=33
Answer:A
Step-by-step explanation:
just try putting 4 into x and you will see
What is 4,490.9 rounded to the nearest hundred?
Answer:4,500
Step-by-step explanation:
Answer:
yeah, it is 4,500
Step-by-step explanation:
:))))))
Identifying the Graph of an Inequality
Which is the graph of 4x + 2y < 3?
y
4
TY
NA
2
2
2
21
x
41
2
4
-4-2
2.
4
-4
2.
4
2
4
-2
-2
x
Answer:
The point-slope form of the equation of a line is ...
y -h = m(x -k)
for a line with slope m through point (h, k).
Comparing this to the given equation, you see that ...
h = -2, m = 1, k = -4
The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.
__
You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.
y = x +2
This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.
The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.
The graph is given below.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
The graph of 4x + 2y < 3 is the region in the coordinate plane that satisfies the inequality.
To graph this inequality, we can start by graphing the line 4x + 2y = 3.
This line has a slope of -2 (because it can be written in the form
y = (-2x/1) + (3/2)), and a y-intercept of (0, 3/2).
We can plot this point on the y-axis and use the slope to find other points on the line.
For example, if we move one unit to the right from the y-intercept, we will move down two units (since the slope is -2), giving us the point (1, 1/2). Similarly, if we move one unit to the left from the y-intercept, we will move up two units, giving us the point (-1, 5/2).
We can connect these points to graph the line.
Therefore,
The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.
Learn more about inequalities here:
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The quotient of ten and a number that is greater than four
Howard buys 5 pounds of apples at $2.50 per pound and 3 pounds of grapes at $1.50 per pound. Write an expression that shows the total cost of the fruit. Then, find the total cost.
Expression
The fruit cost
Answer:
5($2.50)+3($1.50)=17
Step-by-step explanation:
you you just need to put up quantity by side of the bar pound it goes in the brackets that will give you the answer when you multiply that or something fruits value.
[tex]\boldsymbol{\$\,17}[/tex]
Algebraic ExpressionAn algebraic expression is one that is composed of integer constants, variables, and algebraic operations.A mathematical operation is a mathematical action. A mathematical operation includes addition, subtraction, multiplication, division, and calculating the root.Cost of [tex]5[/tex] pounds of apples at [tex]\$2.50[/tex] per pound [tex]=\$\,(5\times 2.50)[/tex]
Cost of [tex]3[/tex] pounds of grapes at [tex]$1.50[/tex] per pound [tex]=\$\,(3\times 1.50)[/tex]
Therefore,
Total cost of the fruit [tex]=\$\,(5\times 2.50)+\$\,(3\times 1.50)[/tex]
[tex]=\$\,12.5+\$\,4.5\\=\$\,17[/tex]
So, total cost of the fruit is [tex]\boldsymbol{\$\,17}[/tex]
Find out more information about expression here:
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If you could help I would really appreciate it, but if not that’s fine. Thank you.
3x - 8 = 3(x - 4) + 1 halp pls
Answer:
no solution
Step-by-step explanation:
3x-11=3x-8
3x=3x+3
0=3
Answer:
Step-by-step explanation:
The top answer is right.
Pls help and show workings due asap
Step-by-step explanation:
l^2=15^2+6^2
l^2=225+36
l^2=261
l=√261
5x + 25 ° solve for x and find the measure of
Answer: 5(x+5)
Step-by-step explanation:
What is another name for ray QR?
Options:
QS
NR
QN
NQ
RQ
Answer:
RQ
Because that is a word
Find the slope of the graph
Answer:
[tex]-\frac43[/tex]
Step-by-step explanation:
Hello!
Slope is calculated by the formula [tex]\frac{Rise}{Run}[/tex].
Rise is the change in y between two pointsRun is the change in x between two points.The two points I'm picking is (0,0) and (3,-4).
The change in y (0 and -4) is -4.The change in x (0 and 3) is 3.Therefore, the slope is [tex]-\frac43[/tex].
pls help ill give BRAINLIEST pls just show work lol
Answer:
s=2
Step-by-step explanation:
Simplify both sides of the equation.
8s−10=3(6−2s)
8s+−10=(3)(6)+(3)(−2s)(Distribute)
8s+−10=18+−6s
8s−10=−6s+18
Add 6s to both sides.
8s−10+6s=−6s+18+6s
14s−10=18
Add 10 to both sides.
14s−10+10=18+10
14s=28
Divide both sides by 14.
14s/14=28/14
s=2
What is the numeric expression that matches 8 fewer than y?
Answer:
y-8
Step-by-step explanation:
100 points! I will mark brainliest! Only answer if you know it! Random answers WILL IN FACT be reported :)
Answer:
y = 1/2x - 8 this is it
Step-by-step explanation:
Which of the following triangles is NOT a right triangle?
Answer:
The first one
Step-by-step explanation:
The third triangle is not a right triangle.
What is a right triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.
Given are triangles,
When we apply Pythagoras theorem in the third triangle,
9² ≠ 8²+6²
Hence, The third triangle is not a right triangle.
Learn more about right triangle, here;
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Please help me with this question it is my first grade so I need to get it right on the answer if you’re positive you know
what is the answer to −9p − 6 = −141
Answer:
p = 15
Hope this helps
Step-by-step explanation:
Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a
total of 28 candles. How many of each candle did she sell? Use x for the small candles and y for the large
candles.
Graph the equation Y = X -1
Answer:sorry for the delate
Step-by-step explanation:
1.Solve 3.2 + y = 8.7.
c
A
8.7
В.
5.5
C.
11.9
D.
-3.2
Answer:
B
Step-by-step explanation:
I hope this helps
Answer:
B(5.5)
Step-by-step explanation:
3.2+y = 8.7
y = 8.7-3.2
y = 5.5