Answer:
The margin of error for the 90% confidence interval is of 0.038.
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].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Margin of error:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]
[tex]M = 0.038[/tex]
The margin of error for the 90% confidence interval is of 0.038.
PLS, NO FILES, OR LINKS, JUST ANSWERS, AND EXPLANATIONS..... What is the combined area of the two bases of the following cylinder? 43.96 in. 2 87.92 in. 2 25.12 in. 2 12.56 in. 2
The combined area of the circular bases of the cylinder is of 25.12 squared inches.
What is the area of a circle?
The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
In this problem, there are two bases, and each base is a circle of r = 2 in, hence the combined area in inches squared of the two bases is given by:
[tex]A_c = 2 \times \pi \times 2^2 = 8\pi = 25.12[/tex]
More can be learned about the area of a circle at https://brainly.com/question/17326298
#SPJ1
Answer:
25.12 squared inches.
Hope this helps!
If y varies directly as x and y = 15 when x=-5, find y when x= 7.
A. -21
B. 21
C. 105
D. -35
Answer:
A. -21
Step-by-step explanation:
y varies directly as x
y = kx
----------------------
y = 15 when x = -5
Find k, the constant of variation
15 = k(-5)
Divide both sides by -5
-3 = k
k = -3
------------------------------
y when x= 7
using k = -3
y = -3(7)
y = -21
help plssssssssssssssssss
Answer:
There’s two options for each. Look below.
Step-by-step explanation:
Savings: there is no risk of losing any money put into this account
interest income is the only way to earn money in this type
‘investment: this account may generate income from a variety of sourses.
If no deposits or withdrawals are made, money held in this acct..
(51 + 62) + 14 = u + (62 + 14)
Answer:
u = 51
Step-by-step explanation:
(51 + 62) + 14 = u + (62 + 14)
(113) + 14 = u + (76)
127 = u + 76
=> Subtract 76 from each side of "="
51 = u
Hope this helps!
Answer:
u = 51
Step-by-step explanation:
hope this helps :]
(-8,3)(-3,-4.5) what is zero of g?
Answer:
the daimeter of the heart of the heart of the heart
Answer this question please ASAP!!!
Given F(x) = 3x-2 and G(x) = 4-x2. Evaluate 2F(1) - 3G(3).
Answer:
[tex]9x^{2} -34[/tex]
Step-by-step explanation:
Use the given functions to set up and simplify [tex]2F(1)-3G.3.[/tex]
The point in the middle between 3G and 3 is a multiplication sign btw
Please help! I have part of the answer but I need help with the slope and understanding the solution space. Thanks!
3. (05.06 MC)
Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y<3/4x-1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) Included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
Step-by-step explanation:
Given the inequalities as
y>-2x+3
y<1/2x-2
Graph the inequalities on the graph tool
The solution is points in the shaded area such as (2,2),(4,4),(4,2),(2,-2),(2,-4)
The point (-2,3) is not included in the solution area because it is located in the un-shaded area.
Mathematically, taking points (-2,3) into the inequality
y>-2x+3
3>-2(-2) +3
3>4+3
3>7---------------------not correct because 3<7
how can we rewrite the slope formula,so that we have point-slope form
The following are six observations collected from treatment 1, four observations collected from treatment 2, and five observations collected from treatment 3. Test the hypothesis at the 0.05 significance level that the tre atment means are equal.
a) state the null and the alternate hypotheses
b) What is the decision rulec).
c) Compute SST, SSE, and SS total
d) Complete an ANOVA table
e) State your decision regarding the null hypothesis
Treatment 1
9, 7, 11, 9, 12, 10
Treatment 2
13, 20, 14, 13
Treatment 3
10, 9, 15, 14, 15
Answer:
Since the calculated value of F=0.20 does not fall in the critical region
F ≥ = 3.481 we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.
Step-by-step explanation:
As the sample size are different we can run anova in the excel.
Part a)
The null and alternate hypotheses are
H0: μ1=μ2=μ 3 against the claim Ha: Not all three means are equal
The significance level ∝ is chosen to be 0.05
Part b)
The critical region is F≥ F(0.05,5,9) = 3.481
Part c) SST, SSE, and SS total
SS total= 144.933
SSE= 129.8333
SST= 15.1
A nova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Column 1 3 32 10.67 4.33
Column 2 3 36 12 49
Column 3 3 40 13.33 4.33
Column 4 3 36 12 7
Column 5 2 25 12.5 0.5
Column 6 1 10 10 ----------
The missing value in the variance column does not account for because the excel uses the mean to perform analysis.
Part d)
A NOVA Table
Source SS df MS F P-value F crit
Of Variation
Between Groups 15.1 5 3.02 0.20 0.95 3.482
Within Groups 129.833 9 14.43
Total 144.93 14
Part e)
Since the calculated value of F=0.20 does not fall in the critical region
F ≥ = 3.481 we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.
For this exercise it is necessary to use knowledge of statistical, in this way
A) [tex]0,05[/tex]
B) [tex]3.481[/tex]
C)[tex]144.933\\129.8333\\15.1[/tex]
D) Do a new table
E)[tex]\geq 3.481[/tex]
As the sample size are different we can run anova in the excel:
A)The null and alternate hypotheses are [tex]H_0: \mu_1=\mu_2=\mu_3[/tex] against the claim Ha: Not all three means are equal The significance level ∝ is chosen to be 0.05.
B)The critical region is [tex]F\geq F(0.05,5,9) = 3.481[/tex]
C) SS total= [tex]144.933[/tex]
SSE= [tex]129.8333[/tex]
SST= [tex]15.1[/tex]
A nova: Single Factor
[tex]Groups\\C1\\C2\\C3\\C4\\C5\\C6[/tex] [tex]Count\\3\\3\\3\\3\\2\\1[/tex] [tex]Sum\\32\\36\\40\\36\\25\\10[/tex] [tex]Avarage\\10.67\\12\\13.33\\12\\12.5\\10[/tex] [tex]Variance\\4.33\\4.9\\4.33\\7\\0.5\\0[/tex]
The missing value in the variance column does not account for because the excel uses the mean to perform analysis.
D) New Table
[tex]Source\\Between\\Within \\Total[/tex] [tex]SS df MS\\15.15\\129.833\\144.93[/tex] [tex]FP-value\\3.02\\14.43\\145[/tex]
E) Since the calculated value of F=0.20 does not fall in the critical region [tex]F \geq = 3.481[/tex] we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.
See more about statistical at : brainly.com/question/15692038
For the given configuration, determine how many different licence plates are possible of (a) digits and letters can be repeated, and (b) digits and letters cannot be repeated. NO LINKS!!
9514 1404 393
Answer:
5a,b = 17,576,000; 11,232,000
6. 45,697,600; 32,292,000
7. 6,760,000; 3,276,000
8. 118,813,760; 78,936,000
Step-by-step explanation:
The number of possible ways the characters can occur is the product of the numbers of ways a character can be selected in each position. If letters or digits cannot repeat, the number of possible selections is reduced by 1 in each new location.
5a. 26×26×26×10×10×10 = 26³×10³ = 17,576,000
5b. 26×25×24×10×9×8 = 11,232,000
__
6a. 10²×26⁴ = 45,697,600
6b. 10×9×26×25×24×23 = 32,292,000
__
7a. 10⁴×26² = 6,760,000
7b. 10×9×8×7×26×25 = 3,276,000
__
8a. 26⁵×10 = 118,813,760
8b. 26×25×24×23×22×10 = 78,936,000
49°
Solve for 42.
2 = [?]
44/62
Answer:
∠2 = 41°
Step-by-step explanation:
∠2 + 49° + 90° = 180°
∠2 + 139° = 180°
∠2 = 180° - 139°
∠2 = 41°
Answer:
[tex] \displaystyle \angle2 = \bigg[{41}^{ \circ} \bigg][/tex]
Step-by-step explanation:
we are given a right angle triangle
we want to figure out the missing interior angle
recall that,
one of angle measure of a right angle triangle is 90° interior angles of a triangle add up to 180°thus our equation is
[tex] \displaystyle {49}^{ \circ} + \angle2 + {90}^{ \circ} = {180}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle \angle2 + {139}^{ \circ} = {180}^{ \circ} [/tex]
cancel 139° from both sides:
[tex] \displaystyle \angle2 = {41}^{ \circ} [/tex]
hence,
the measure of the missing angle is 41°
Draw a picture of a line and a point that is not on the line. Draw in the shortest distance from the point to the line, What do you notice about the line connecting the point and the line to the original line?
Answer: The line connecting the point and the line is perpendicular to the original line.
Step-by-step explanation:
(Forgot the name but there is also a theorem stating that the shortest distance between a point and a line is the one that is perpendicular)
can an obtuse triangle have a 90 degree angle?
Answer:
No
Step-by-step explanation:
Obtuse has an angle that is greater than 90 degrees. To be obtuse the angle must be 91 and up. Right triangles are 90-degree angles. Acute triangles have an angle that is less than 90. So, 89 and below.
I hope I answered your question correctly.
~LampteyJ
unction f(x) = (x − 4)(x − 2) is shown. On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0). What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all
9514 1404 393
Answer:
(d) all real numbers greater than or equal to -1
Step-by-step explanation:
The y-value of the vertex at (3, -1) is the minimum of the function. All y-values equal to or greater than -1 are in the range of the function.
y ≥ -1
Is it possible for a triangle to have a 54 degree angle and a 126 degree angle? Explain why or why not.
Answer:
No
Step-by-step explanation:
Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible
Answer:
No
Step-by-step explanation:
No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.
Help, I need this as quick as possible
Answer:
multiply the top number by 4 also and what ever answer you get by doing 24×4 place that number over 100 and that number will be your percentage
Does a circle have a diameter of 7.6 feet which measurement is closest to the circumference of the circle in feet?
Answer:
23.864 ft
Step-by-step explanation:
circumference = pie x diameter
pie= 3.14
diameter= 7.6ft
therefore, circumference =
3.14 x 7.6 ft
=23.864 ft
roundoff to the nearest tens=23.9 ft
Which expression is the best estimate for
3 1/8 - 1 3/4?
[tex]1 \frac{3}{4} - 3 \frac{1}{8} = - \frac{11}{8} = - 1\frac{3}{8} [/tex]
HELP CAN SOMEONE TELL ME THE ANSWER I CANT GET A BAD GRADE.
Answer:
34.1cm^2
Step-by-step explanation:
Area of triangle = 1/2 x base x height
=1/2 x6.2 x11
=34.1cm^2
if A(2;2) and B(-3;4), determine the equation of AB, in the form y=mx+c
Answer:
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + c[/tex]
In which m is the slope and c is the y-intercept(value of y when x = 0).
A(2;2) and B(-3;4)
When we have two points, the slope is the change in y divided by the change in x. So
Change in y: 4 - 2 = 2
Change in x: -3 - 2 = -5
Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + c[/tex]
A(2;2)
When [tex]x = 2, y = 2[/tex]. We use this to find c.
[tex]y = -\frac{2}{5}x + c[/tex]
[tex]2 = -\frac{2}{5}(2) + c[/tex]
[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
Can someone please help me it’s urgent
Answer:
8.5 in
Step-by-step explanation:
You are solving for the hypotenuse right? So you would use this formula:
c = square root a^2+b^2
the c is the hypotenuse (long side of a right triangle) and a will be 4 and b will be 7.5. substitute the numbers in, solve, and you get 8.5 inches!
x = square root 4^2 + 7.5^2
x = square root 16 + 56.25
x = square root 72.25
x = 8.5 inches
Order these numbers from least to greatest: 5, 0, 1, -13 -1-1
Answer:
-1 1/2, -1, 0, 1/2, 1
Step-by-step explanation:
Write a equation to represent the hanger ,7th grade math help me
A large popcorn bag holds four times as much as a small popcorn bag. At the end of a party,
3 1/3 small bags and 2 1/4 large bags were left.
a) How many small bags would the leftover popcorn fill?
b) How many large bags would the leftover popcorn fill?
Please help me fast, also show all work and steps please:)
Answer:
A] 37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12
Step-by-step explanation:
Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.
Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.
So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) = [ 10 p / 3 ] + [ (9 x 4) p / 4 ] = 10p / 3 + 9p = (10p + 27p) / 3 = 37p / 3
A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn = ( 37p / 3 ) / (p) = 37 / 3 = 12 1/3
B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn = ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12
the model shows -3x + 5 + 2x - 1. what value of x makes the equation true?
a. x = -6
b. x= 4
c. x = -4
d. x= 6
please help. 30 points
Answer:
hopes this helps
Step-by-step explanation:
B -x+4
Help with the Pythagorean Theorem
Answer:
A=5
B=3
C=5.83
A^2+B^2=C^2
Answer:
5.83
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Mathematics
10³x10³x10²
Answer:
100,000,000/10^8
Step-by-step explanation:
10^3 = 1000
10^3 = 1000
10^2 = 100
Therefore,
= (1000) x (1000) x (100)
= (100,000) x (100)
= 100,000,000
or
= 10^8
Simplify 5 (x + 2) + 2 (x - 5)
Answer: 7x let me know if you need an explantion.
Using the letters suggested, construct a simple formula:
A car travels a km/h for b km and makes another journey at c km/h for d km.
a. Find the total distance (s km) the car travels
b. Find the formula for the Average Speed of the entire journey.
Answer:
Speed = distance / time
Time = distance/ Speed
Distance = Speed x time