Answer:
The 95% confidence interval for the true population proportion is (0.27, 0.33).
Step-by-step explanation:
The (1 - α)% confidence interval for population proportion of is:
[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The information given is:
[tex]\hat p=0.30\\n=765\\\text{Confidence level}=95\%[/tex]
The critical value of z for 95% confidence level is, 1.96.
Compute the 95% confidence interval for the true population proportion as follows:
[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.30\pm 1.96\times\sqrt{\frac{0.30(1-0.30)}{765}}\\\\=0.30\pm 0.0325\\\\=(0.2675, 0.3325)\\\\\approx (0.27, 0.33)[/tex]
Thus, the 95% confidence interval for the true population proportion is (0.27, 0.33).
is 39.81 rational or irrational
Answer:
its rational
Step-by-step explanation:
:)
Answer:
It is rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?
Answer:
The answer is 50 or 55.
Step-by-step explanation:
Answer:
The answer is 50
Step-by-step explanation:
i did test on edg
32. Parallelogram ABCD has vertices A(0,0), B(2,4), and C(10,4). Find the coordinates of D.
Answer:
Answer:
The fourth vertex is D(8, 0)
Step-by-step explanation:
Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
We have known that the diagonals of a parallelogram bisect each other.So, O would be the midpoint of AC as well as that of BD.
[tex]A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)[/tex]
[tex]C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)[/tex]
The midpoint of AC is:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)[/tex]
[tex]=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)[/tex]
[tex]=\left(5,\:2\right)[/tex]
The midpoint of BD is:
[tex]=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)[/tex]
so
∵ [tex]\frac{a+2}{2}=5[/tex]
[tex]a+2=10[/tex]
[tex]a=8[/tex]
∵ [tex]\frac{b+4}{2}=2[/tex]
[tex]b+4=4[/tex]
[tex]b=0[/tex]
Hence, the fourth vertex is D(8, 0)
can someone help me with this question thank you:)
Answer:
110 degrees
Step-by-step explanation:
since every triangles degrees add up to 180 all you have to do is find 1 and 3. since the 4 is 150 degrees and the line always has to add up to 180 3 is 30 degrees. then we add 2 and 3 which gets us 70. then 180 - 70 which is 110 so 3 is 110.
Pls look in file below for question
Answer:
the answer to the question is 7
find the y-intercept and y-intercept of the line. x-2y=8
Answer:
Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hshshsye bdbs dhd dhd dhd dh rge ege ehevehe
A new drug on the market is known to cure 30% of patients with cervical cancer. If a group of 18 patients is randomly selected, what is the probability of observing, at most, one patient who will be cured of cervical cancer?
Answer:
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
Step-by-step explanation:
Given:
Patients cured = 30% = 0.30
Number of patients (n) = 18
Probability cured of cervical cancer = P(X≤1)
Probability cured of cervical cancer = P(X=0) + P(X=1)
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
Math question on bottem
Answer:
12.56km
Step-by-step explanation:
circumference formula is C= 2(π)(r)
r= 2 so
C=2(π)(2)
C= 12.56
Write the expanded form of the expression -1/6 (y-x)
Answer:
-1/6y + 1/6x
Step-by-step explanation:
expand and simplify 3(2a+3b)+2(2a+2b)
Answer:
=10a+13b
Step-by-step explanation:
Let's simplify step-by-step.
3(2a+3b)+2(2a+2b)
Distribute:
=(3)(2a)+(3)(3b)+(2)(2a)+(2)(2b)
=6a+9b+4a+4b
Combine Like Terms:
=6a+9b+4a+4b
=(6a+4a)+(9b+4b)
=10a+13b
Which must be larger log 15 Or In 15? And why
Answer:
ln 15 must be greater (larger than) if log 15 is common.
Step-by-step explanation:
log 15 [assumed to be a common logarithm]
‹–› 15 = 10 ^ log(15)
ln 15 [natural log which has a base of e] ‹–› 15 = e ^ ln(15).
10 > e
e ≈ 2.7218.
e is approximately 3 rounded to the nearest whole number.
Logically you would need to raise 3 to a greater power for 3ⁿ = 15. Than 10ⁿ = 15.
For example 3² < 10² → 3³ < 10³ → 3⁴ < 10⁴ → ... Thus 3ⁿ < 10ⁿ for n > 0.
Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). Find the curve in which the sphere intersects the yz-plane. Find the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
Answer:
A) x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0
B) radius = 5
center = (4,-1,-3)
Step-by-step explanation:
[tex]x^2 + y^2 + z^2 - 8x + 2y + 6z + 1 = 0[/tex]
A ) Determine the curve in which the sphere intersects the yz-plane
determine the radius ( r ) = √((6-(-1))2+(-2-2)2+(3-1)2) = √69
next the equation of the sphere ( curve in which the sphere intersects the yz-plane )
x^2+2x+y^2-4y+z^2-2z-63 = 0
B) determine the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
(x-4)2+(y+1)2+(z+3)2 = 25 = 52
radius = 5
center = (4,-1,-3)
3.996 ➗ 1.2 =
plz help i need the answer
Answer:
3.33
Step-by-step explanation:
hope this helps!!
Answer:
3.33
Step-by-step explanation:
Cassandra needs 5 1/2 yards of fabric to make her dress. she has 3 5/6 yards already. how much more does she need? Plz give explanation and correct answer. I will mark you brainliest.
Help with 2 things plz I will give brainliest
Answer:
x is 3 y is 52 x is 50, y is 70
Step-by-step explanation:
1
we know y=14x=12x+6 since they are vertical angles, and correlating angles.
14x=12x+6
2x=6
x=3
subsitute x=3
y=14(x) turns into y=52
x is 3 y is 52
2.
x+20=y since alternate interior
y+2x+10=180 because they are supplementary
x+20+2x+10=180 subsitute for y
3x+30=180
3x=150
x=50
50+20=y
70=y
Write a linear equation that passes through the points (-3,3) and (9,-13).
Any blinks here? if so.. what album should i get?
Theres more but they cant fit in one pic have a great night or good morning
Answer:
♡ hi there blink ♡
get the album! comes with a poster, etc.
it's great and it stands out from the rest ☆
of the album they made. have a great day!
-madi/madeline
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
bubba buys a $95 calculator on sale for 30% off. what's the discount and sales price?
The probability of getting bonus points is 8/19
Answer:
11/19
Step-by-step explanation:
If the probability is 8/19, the reverse is 11/19. That is the odds.
Hope this finds you well on a cold day!
Is the following relation a function?
A. Yes
B. No
Answer:
Yes, it's a function.
Step-by-step explanation:
can someone help me with this? I’m very confused and my results aren’t matching
You basically start at the start and whatever answer you get you go that way and if you get your answers right it should lead you to finish.
Solve: -6n + 5 < 11
Wich graph shows the solution?
Answer:
The last graph
Step-by-step explanation:
You have to solve for n that is where you get the plot then you have to remember in inequalities if you divide by a negative you have to switch the sign. The inequality is not a less than or equal to or greater than or equal to so the plot would be an open circle. Because we switched the sign it goes down the left side of the graph because of the direction the sign is pointing to.
Answer:
second graph
Step-by-step explanation:
when you solve for the value of n, you will obtain
n=-1
introducing the sign
which is n>-1
hence the above response
Write each decimal as a percent. 0.59 0.98 0.02 1.33
Answer: to find the percent equivalent, multiply the decimal by 100.
59%
98%
2%
133%
hope it helps!
Answer:
59%
98%
2%
133%
Step-by-step explanation:
0.59 × 100 = 59%
0.98 x 100= 98%
and same with the others
How does this step ensure that the new angle will be congruent to the original angle?
A school is electing students for class officers. There are four offices: president, vice president, secretary, and treasurer. The student with the most votes becomes president, second highest number of votes is vice president, and so on. If there are students in this class, how many ways can students be elected?
Answer:
84,264
Step-by-step explanation:
Answer:
84,264
Step-by-step explanation:
If –3 + i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –3 – i –3i 3 – i 3i
Answer:
-3-i is the correct answer.
Step-by-step explanation:
If –3 + i is a root of the polynomial function f(x), Then -3 -i must also be a root of f(x)
What is a Root?
The root is the value where the given function will tends to zero.
How to determine?If –3 + i is a root of the polynomial function f(x), Then -3 -i must also be a root of f(x)
Learn more about Roots:
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1.23 x 1.1 equals =
Answer:
1.23 x 1.1 = 1.32
Is x-x at infinity 0?
Answer: X/infinity tends to zero but never zero.
Probably incorrect, but I tried my best.
What role do animals have in the carbon cycle?
Group of answer choices
use water and release oxygen
use sugar and release carbon
use carbon and release oxygen
use carbon and release nitrogen
Answer:
Animals eat plants, and when they do, they obtain the carbon. Later, they release that carbon by means of respiration. Fungus, Bacteria, Algae and other microorganisms create carbon when they decompose dead plants and animals.
Step-by-step explanation:
hope this helps
solve the answer for z if m cannot equal n
Step-by-step explanation:
Answer: The answer is [tex]z=\frac{mn}{(m-n)}[/tex].
Step-by-step explanation: 1. [tex]\frac{nz+m(-z)}{mn}=1[/tex], 2.[tex]\frac{nz-mz}{mn}=1[/tex]. 3. [tex]\frac{z(m-n)}{mn}=1[/tex]
4. [tex]zn-zm=mn[/tex]
5. [tex]z(m-n)=mn[/tex]
6. [tex]\frac{z(n-m)}{n-m}=\frac{mn}{m-n}[/tex], ∴ your answer should be:
[tex]z=\frac{mn}{(m-n)}[/tex], I hoped your answer is very helpful, please mark me as brainliest, and have a happy holidays, Abhinav!!!! :D