The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We know:
[tex]\rm MOE = Z \times \sqrt{\dfrac{pq}{n}}[/tex]
We have MOE = 0.05, p = 46% = 0.46,
q = 1-p = 1-0.46 = 0.54
Z at 0.02(because 98% level of confidence) = 2.33
Plug this value in the formula we get:
[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.46\times0.54}{n}}[/tex]
After solving:
n = 539.41 ≈ 540
If no estimate is given:
p = 0.5 and q = 0.5
[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.5\times0.5}{n}}[/tex]
n = 542.89 ≈ 543
Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.
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What is the distance between (-5, 2) and (-1, 6). Round to the nearest tenths if necessary. You can either graph it or use the distance formula below.
Answer:
Hope the picture will help you........
PLEASEEEEE HELPPP MEEEEEE
Answer:
(4:-4)
Step-by-step explanation:
the graphs y- axis starts at 4 and ends at -4
PLEASE HELP 15 POINTS!!!
Sequence: 24 + 12 + 6 + 3 +...
Explanation:
This is infinite geometric series converges.
[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]
Identify the following
a1 = 24r = 12 ÷ 24 = 1/2Solve:
[tex]\rightarrow \sf S \infty \ =24\ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]
[tex]\rightarrow \sf S \infty \ =48[/tex]
This is series has a sum of 48.
. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue!
Using the normal distribution, it is found that 84 people would be expected to have BP > 160.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation for the BPs are given, respectively, by:
[tex]\mu = 122, \sigma = 22[/tex].
The proportion of adults with BP > 160 is given by one subtracted by the p-value of Z when X = 160, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 122}{22}[/tex]
Z = 1.73
Z = 1.73 has a p-value of 0.9582.
1 - 0.9582 = 0.0418.
Out of 2000 people:
0.0418 x 2000 = 83.6.
Rounding to the nearest integer, 84 people would be expected to have BP > 160.
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rewrite the equation in Ax+By=C form. use intergers for A,B,C
y=1/5-1
Answer:
[tex]5y=-4[/tex]
Sure hope this helps you :D
Solve the inequality and graph the solution
x +1 2/5 _< 6 8/10
Answer: x < 5 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{8}{10}[/tex]
x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{4}{5}[/tex]
x < 5 [tex]\frac{2}{5}[/tex]
graph is attached
solve quadratic 2x^2 -7 +6 =0
Answer:
Assuming you meant 2x^2-7x+6=0,
the answer is x=2, x=1.5
Use the quadratic formula. (-b (+ or -) sqrt(b^2 - 4ac) )/ (2a)
Part B
Morgan said that the difference between the heaviest loaf of bread and the lightest loaf of bread is 1 1/2 ounces. Do you agree with Morgan? Explain
also this is worth 35 points pls help!!
Answer:
Morgan is incorrect because 24 1/2- 22 3/4=1 3/4
Step-by-step explanation:
24 ¹/²- 22 ³/⁴=1 ³/⁴
Which three side lengths best describe the triangle in the diagram?
Answer:
Option C . 6 cm , 8 cm and 10 cm
Step-by-step explanation:
Question : Which three side lengths best describe the triangle in the diagram?
Solution :As we can clearly see measurement of the scale [ refer to attachment ]
In Triangle ABC
AC = 6 cm CB = 10 cmAB = 8 cmTherefore option C is Correct.
What expression represents the volume of the cylinder, in cubic units?
Answer:
2πx3
Step-by-step explanation:
11. What is the equation of the median-median line for the dataset in the table?
X Y
2 6
4 22
6 30
8 24
10 40
12 46
14 52
16 72
18 60
20 64
The equation of the median-median line for given data will be y = 3x + 10. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The data set in the table is given below.
X Y
2 6
4 22
6 30
8 24
10 40
12 46
14 52
16 72
18 60
20 64
For the above after dividing the above data into 3 parts of the set (3,4,3)
Then the equation of the median-median line for given data will be
y = 3x + 10
Then the correct option is A.
More about the linear system link is given below.
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Does (84,-7) has one, two or no solution?
Answer:
No sollution
Step-by-step explanation:
It simple
On a map, Luis's house is located at (-7, 6)
and Melvin's house is at (4,-5). What are the
coordinates for Raquel's home if she lives exactly
halfway between Luis and Melvin?
Step-by-step explanation:
There is no diagram how can we answer
In which data set does the range have the greatest spread?
A. 10, 11, 11, 14, 14
B. 10, 13, 13, 14, 15
C. 9, 11, 11, 13, 14, 15, 16
D. 8, 11, 13, 13, 17, 20, 23
Answer:
D (8, 11, 13, 13,17,20,23)
Step-by-step explanation:
I did this and got it correct.
PLS HELP ASAP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
None of the others are vertical angles
a is supplementary angles
b is supplementary angles
d is alternate interior angles
2. Which theorem would show that x = 5 in the diagram?
Answer:
Midsegment theorem for Traoezoids
Step-by-step explanation:
I hope it helps you
Solve the following inequality for x.
-5x < -15x + 40
A.
x > -2.00
B.
x > 4
C.
x < 4
D.
x < -2.00
[tex]~~~~~~-5x < -15x +40\\\\\implies -5x +15x < 40\\\\\implies 10x < 40\\\\\implies x < \dfrac{40}{10}\\\\\implies x < 4\\\\\text{So, the answer is C.}[/tex]
Answer:
The answer will be C X < 4 okay thanks
Pls tell how did she get
1.15m il will marke brainliat
Answer:
Step-by-step explanation:
1.15 represents a 15% increase so if you want a 15 % increase from last year, you would multiply 1.15 by m to get 1.15m
:)
10.4 sides polygon with 2 sides of parallel sides. What type of polygon is it?
Answer:
Here is the answer:
Step-by-step explanation:
An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
please help me!! I’m bad at math!!
Answer:
50.24
-
And, you're not bad at math! You goot this correct! :)
Step-by-step explanation:
c=25.12
we can use this to find the raidus!
-
plug it back into the circumference formula first.
c=(pi)(d)
25.12=3.14*d
divide both sides by 3.14!
d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!
-
now we plug it into the area of a circle formula.
π · r2
3.14 * 4^2
3.14*16
50.24
Find the slope of the line passing through the pairs of points. (-11. - 11) and (10,- 1)
Answer:
the slope is [tex]\frac{10}{21}[/tex]
Step-by-step explanation:
slope formula for linear equations:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] so for the two points [tex]\frac{-1 - (-11)}{10 - (-11)}[/tex] [tex]= \frac{10}{21}[/tex]
i need help finding the orignal price
Choose the correct measurement of the scissors to the nearest inch.
If triangles CBA and RQP are similar, what can you say about the ratios of their corresponding
sides? Write the proportions.?
Answer:
here you go..............
need help on my aleks chapter 5 lesson 3
Answer:
65º
Step-by-step explanation:
Angles in a triangle add to 180º so:
180- 44 - 71 = 180 - 115 = 65º
Enter the coordinates of the point on the unit circle at the given angle. 120°
The coordinate is (-1/2, √3/2) and the missing values will be 2 and 3 if the angle is 120 degree.
What is the polar equation?A polar coordinate system is a two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane.
We have an angle of 120 degree
θ = 120 degree
r = 1 unit
As we know, the coordinate in the polar form from the rectangular form is:
x = rcosθ = cos120 = -1/2
y = rsinθ = sin120 = √3/2
Thus, the coordinate is (-1/2, √3/2) and the missing values will be 2 and 3 if the angle is 120 degree.
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You deposit $400 in an account earning 5% interest compounded annually. How much will you have in the account in 10 years?
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The amount that will be in the account after 10 years is $651.56.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
The principal amount is $400 which is invested for a period of 10 years at an interest rate of 5% annually. Therefore, the amount in the account after 10 years will be,
[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = \$400 (1+ \dfrac{0.05}{1})^{1 \times 10})\\\\A=\$651.56[/tex]
Hence, the amount that will be in the account after 10 years is $651.56.
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Determine the equation of the circle graphed below.
10
8
6
4
2
-10 -B -6
8
-4
-2
-2
4
-6
-8
-10
2
4
10
Answer: (x +7)^2 +(y +6)^2 = 9
Step-by-step explanation:
The given circle appears to be centered at (-7, -6) and have a radius of 3. The standard form equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle of radius r centered at (h, k)
For (h, k) = (-7, -6) and r=3, your circle is ...
(x -(-7))^2 +(y -(-6))^3 = 3^2
(x +7)^2 +(y +6)^2 = 9
i hope this helps btw i did not copy n paste l got 100% on this
If Jessica has money into savings accounts worry is 5% in the other is 10% if she has $950 more in the 10% account and the total interest is 281 how much invested is in each savings account
Answer:
5% account = $1,240
10% account = $2,190
Step-by-step explanation:
Let's assume the amount of savings in the 5% account is x.
Thus the amount of savings in the 10% account is (x + $950).
We can write the following equation from the interest amount:
[5% x ] + [10% (x + $950)] = $281
5%x + 10%x + $95 = S281
15%x = $186
x = $1,240
There is $1,240 in the 5% account
Therefore, on the 10% account there is $1,240 + $950 = $2,190
A snail crawls 83 cm due west and then
78 cm due north.
Work out the bearing of the snail from its
starting point.
Give your answer to the nearest degree.
Answer:
313°
Step-by-step explanation:
The reference angle (α) can be found using the tangent relation:
Tan = Opposite/Adjacent
__
In this problem, that means ...
tan(α) = 78/83
α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis
The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.
bearing = 270° +43° = 313°