Answer:
Step-by-step explanation:
From the given data;
Suppose the level of significance [tex]\alpha = 0.99[/tex]
∴
[tex]\alpha = 1 - C.I[/tex]
[tex]\alpha = 1 - 0.99[/tex]
[tex]= 0.01[/tex]
[tex]\text{Critical Value} \ \ Z_{\alpha/2}= Z_{0.01/2}} \\ \\ = 2.576[/tex]
This shows that 99% of the area under the standard normal curve falls within 2.576 S.D of the mean.
(a)
Using the knowledge of M.O.E (margin of error); we can make "n" the subject and have a derived formula:
[tex]n = \hat p (1- \hat p ) (\dfrac{Z}{E})^2[/tex]
[tex]n = 0.5 (1- 0.5 ) (\dfrac{2.576}{0.028})^2[/tex]
[tex]n = 0.5 (0.5 ) (8464)[/tex]
[tex]\mathbf{n = 2116}[/tex]
(b)
Suppose 53% of the adult are involved since it is not given, Then:
[tex]n = \hat p (1- \hat p ) (\dfrac{Z}{E})^2[/tex]
[tex]n = 0.53 (1- 0.53 ) (\dfrac{2.576}{0.028})^2[/tex]
[tex]n = 0.53 (0.47) (8464)[/tex]
[tex]\mathbf{n = 2109}[/tex]
(c)
Here; we realize that the additional information brings about a change by less than 10%. Hence, the additional information had NO significant change in the required sample.
In the song, 7 pounds, 5 ounces was the median weight of the students at birth. Which of these is correct?
Answer: Half the students weighed less than 7 pounds, 5 ounces, and half the students weighed more.
Step-by-step explanation:
1. In Part A of this lab, you will measure the dimensions (length, width, diameter) of several geometric shapes. a. Using a ruler, you measure the length of a rectangle to be 12.75 cm and the width to be 3.64 cm. Calculate the area of this rectangle (show work), reporting your answer to the correct number of significant figures.
Answer:
The area of this rectangle is 46.41 cm²
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle of width w and length l is given by:
[tex]A = wl[/tex]
That is, the area of a rectangle is the multiplication of its width by its lengt.
In this question:
[tex]l = 12.75, w = 3.64[/tex]
So
[tex]A = wl = 3.64*12.75 = 46.41[/tex]
Width and length in centimeters, so the area is in square centimeters.
The area of this rectangle is 46.41 cm²
Find the missing side round to the nearest 10th please help
Step-by-step explanation:
Number 3
cos∅ = adj/hyp
cos35° = 20/x
x = 20/cos35°
x = 20/0.8192
x = 24.4155
x ≈ 24.4 to the nearest tenth
Option C
Number 6
tan∅ = opp/adj
tan37° = 20/x
x = 20/tan37°
x = 20/0.7536
x = 26.5409
x ≈ 26.5 to the nearest tenth
Option B
50 points! Please help me
Answer:
x = 8
y = 14
Step-by-step explanation:
2x + 6 = 4x - 10 (Corresponding angles so they're equal)
2x - 4x = -10 - 6
-2x = -16
x = 8
2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)
2(8) + 6 + 13y - 24 = 180
16 + 6 + 13y - 24 = 180
13y - 2 = 180
13y = 182
y = 14
I need the answer for this one please
Answer:
Step-by-step explanation:
65
Please help and also no links please help me I’m a nice person and I need explanation
Answer:
5. I think it's 15% I'm not too sure about relative frequency.
6. Gum
7. 10%
8. I can't tell what's going on with the data there.
9. I can't tell what's going on with the data there.
10. I think it's 40% I still have no idea what relative frequency is.
Step-by-step explanation:
5. Each of the numbers added together is 200. 30 is how many there are that chose the waterpark. 30 is 15% of 200.
6. To find mode, add all of them together and divide by the number of them. 6+30+15+9=60/4=15.
7. 6 is 10% of 60.
8.
9.
10. The numbers added together are 60. 24 is 40% of 60.
WHO WANT BRAINLYEST????????
PLs shw how to solve
Answer: 60
Step-by-step explanation: you have to do the base X height which is 12 x 10 and that gets you 120. Then you have to divide that by 2 and it will get you 60 :)
╔═.✵.══════════╗
A N S W E R
╚══════════.✵.═╝
☆ ☆ ☆
You multiply each number, so: 10 x 12 x 13
Which gives you the conclusion of 1560.
Hope this helped, love! ☆ ☆ ☆
How many 2/3 are in 5?
Answer:
7.5
Step-by-step explanation:
5/(2/3) = 7.5
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
The answer could be either
C or B
A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answer:
yes
Step-by-step explanation:
Yes it is, assuming we decide to use the Pythagorean Theorem to find the hypotenuse (10) it'll be possible considering the formula is c²=√a²+b²
(c being the longest side of the triangle)
a= 6 and b= 8
HELP ME GENIUS PLEASE I AM SO TIRED OF DOING IT
Answer:
b and a i think
Step-by-step explanation:
Select all the statements that are true about the triangles
Answer: yeah sry i need point
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST!!!!!!!
Solve −4(x + 10) − 6 = −3(x − 2). (20 points)
−40
−46
−52
52
Answer:-52
Step-by-step explanation:
-4x-40-6=-3x+6
-4x-46=-3x+6
-52=x
THE PERIMETER OF ABCD
Answer:
You have to add all of them up, I hope I helped you!
Step-by-step explanation:
I just have a few minutes on the computer left so I did the best I could!
Answer:
71
Step-by-step explanation:
Please help me asap this is my math homework
Answer:
3.5 would be the answer
Step-by-step explanation:
pls answer both questions for branliest and 20 points
Answer:
1, 216
2. 576
Step-by-step explanation:
meth
Answer:
216 km ^2
Step-by-step explanation:
area of triangle = 1/2 x base x height
so
1/2 x 18 x 24
18 x 12
216 km ^2
Simplify the following expression.
Answer:
x^(4/21)
Step-by-step explanation:
What are the vertices of APQR?
A. P, Q, and R.
O B. ZP, ZQ, and ZR
C. None of these
O D. PQ, QR, and PR
I need help
The endpoints of the triangle, P, Q, R, are the vertices of the triangle.
Response:
The vertices of ΔPQR are;
A. P, Q, and RHow can the vertices be found from the name of the triangle?The vertices of a figure are the points where two segments meet.
A triangle can be named by using the labels of the endpoints, which are
the vertices of the triangle, that are usually in capital letters.
Therefore;
The vertices of ΔPQR are; A. P, Q, and RLearn more about triangles here:
https://brainly.com/question/68217
Solve the following equations for x
13−(2x+2)=2(x+2)+3x
Answer:
x = 7
Step-by-step explanation:
Distribute the 2 on the right and the -1 on the left: 13 - 2x - 2 = 2x + 4 + 3x
Combine like terms on each side of the equation: 11 - 2x = 5x + 4
Add 2x to both sides, and subtract 4 from each side: 7 = 7x
Divide both sides by 7: x = 7
I WILL GIVE BRAINLIEST.
Find the lateral surface area of a cylinder with a diameter of 21 inches and a height of 15 inches.
Answer:
Step-by-step explan
21
Is 6 a factor of 42x + 30y
3.16 SAT scores: SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 295. Suppose a school council awards a certificate of excellence to all students who score at least 1900 on the SAT, and suppose we pick one of the recognized students at random. What is the probability this student's score will be at least 2100
Answer:
0.2333 = 23.33% probability this student's score will be at least 2100.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, and conditional probability.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 295.
This means that [tex]\mu = 1490, \sigma = 295[/tex]
In this question:
Event A: Student was recognized.
Event B: Student scored at least 2100.
Probability of a student being recognized:
Probability of scoring at least 1900, which is 1 subtracted by the pvalue of Z when X = 1900. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1900 - 1490}{295}[/tex]
[tex]Z = 1.39[/tex]
[tex]Z = 1.39[/tex] has a pvalue of 0.9177
1 - 0.9177 = 0.0823
This means that [tex]P(A) = 0.0823[/tex]
Probability of a student being recognized and scoring at least 2100:
Intersection between at least 1900 and at least 2100 is at least 2100, so this is 1 subtracted by the pvalue of Z when X = 2100.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2100 - 1490}{295}[/tex]
[tex]Z = 2.07[/tex]
[tex]Z = 2.07[/tex] has a pvalue of 0.9808
This means that [tex]P(A \cap B) = 1 - 0.9808 = 0.0192[/tex]
What is the probability this student's score will be at least 2100?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0192}{0.0823} = 0.2333[/tex]
0.2333 = 23.33% probability this student's score will be at least 2100.
8 cm
3 cm
4 cm
Find the area of the isosceles trapezoid.
A)
24 cm2
B)
30 cm2
C)
36 cm
D)
48 cm?
Answer:
c. 36
Step-by-step explanation:
A= .5 (base 1 + base 2) h <-----------area of a trapezoid formula
.5 ( 8 + 16) x 3
.5 x24 x 3
.5 x 24=12
12x3=36
base one would be 8
base two is 16( you have that middle section which is 8cm and then those side sections which are each 4cm)
height is 3
Michael stacks 14 identical disks to form a cylinder. • Each disk is 1/4 inch thick. • The diameter of each disk is 3 inches. Which measurement is closest to the volume, in cubic inches, of the stack of disks?
Answer:
mplete results in the Gradebook and Mastery Dashboards; Start a class ... and a cylinder. What is the volume, in cubic inches, of the crayon balloon? 14 ... Which measurement is CLOSEST to the distance Jen walks to school each morning? 22 ... C-G.2.1.3. Q.Michael stacks 14 14 14 identical disks to form a cylinder.
Step-by-step explanation:
The volume of the cylinder will be 24.72 in³.
What is a cylinder?In mathematics, a cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.
Given that, the 14 identical disks are stacked to form a cylinder, each disk is 1/4 inch thick, and their diameter is 3 inches, we need to find the volume of the cylinder,
So, here we can say that the height of the cylinder is the sum of the thickness of all the disks,
So, height = 1/4 x 14 = 3.5 inches.
The volume of the cylinder = π × radius² × height.
= 3.14 × 1.5² × 3.5 [radius = diameter / 2]
= 3.14 × 2.25 × 3.5
= 24.72 in³
Hence, the volume of the cylinder will be 24.72 in³.
Learn more about cylinder, click;
https://brainly.com/question/3216899
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Can someone help me
9514 1404 393
Answer:
vertical50°Step-by-step explanation:
Angles BGC and FGE share vertex G and are composed of opposite rays. This makes them vertical angles.
Angle BGC and CGD make up a right angle, so they are complementary. That makes angle BGC equal to 90° -40° = 50°.
Vertical angles have the same measure, so ∠FGE = 50°.
A rectangular prism has a length of 11 centimeters, a height of 13 centimeters, and a width of 2 centimeters. What is its volume, in cubic centimeters?
Answer:
286 cm
Step-by-step explanation:
Answer:
286 centimeters³
Step-by-step explanation:
identify variable: L=11 W=2 H=13
use volume of a rectangular prism formula: V=LWH
substitute variables into formula: V=(11)(2)(3)
V=286 cm³
The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows. KitchenMaster Bedroom 25.218.017.422.922.826.421.924.819.726.923.017.819.724.616.921.021.823.6a) Develop a point estimate of the difference between the population mean remodeling costs for the two types of projects.b) Develop a 90% confidence interval for the difference between the two population means.
Answer:
Kitchen
25.2
17.4
22.8
21.9
19.7
amp;Master Bedroom
amp;18
amp;22.9
amp;26.4
amp;24.8
amp;26.9
amp;Kitchen
amp;23
amp;19.7
amp;16.9
amp;21.8
amp;23.6
amp;Master Bedroom
amp;17.8
amp;24.6
amp;21
Step-by-step explanation:
What is the value of x?
If your answer is not an integer,
express it in simplest radical form.
Answer:
±8√2
Step-by-step explanation:
Use the table that shows the results of a class poll.
Question
Yes
No
Do
you walk to school?
18% yes
82% no
Is there a pet in your home?
14
—— yes
25
11
—— no
25
Do you play on a sports team?
0.42 yes
0.58 no
Which category in the table shows the least portion of the class?
Answer:
The people who said Yes to having a pet in their home is greater
Step-by-step explanation:
We are asked to compare 18% and 14/25. Let's get them to their lowest common denominator:
18% = 18/100
14/25 * 4 = 56/100
18/100 is clearly much less than 56/100. If you don't want to write all this out, you can also eyeball that 14/25 is over half, whereas 18% is not close to half.
I hope this helps! Sorry if its doesn't though:( I hope you have a amazing day! And maybe you could mark this brainly?
Nathan bought 4 pounds of chicken for $8. How many pounds can he buy for $20? *
Answer:
The correct answer is 10 pounds of chicken
Step-by-step explanation:
First you do 8 divided by 4 to equal the unit price of 1 pound of chicken for 2 dollars then you do 20 divided by 2 to equal 10 pounds of chicken for 20 dollars
HAVE A GOOD DAY!