Answer:
192
Step-by-step explanation:
Are these triangles similar? If yes, write a similarity statement.
A simple random sample of size 51 has sample mean of 70.72. The population distribution is approximately normal, with population standard deviation of 16.25. Determine the correct method of finding a 95% confidence interval for the unknown population mean and compute it. z-method: (66.26, 75.18) Cannot compute: the population size is too small. t-method: (66.15, 75.29) z-method: (66.15, 75.29)
Answer:
z-method: (66.26, 75.18)
Step-by-step explanation:
We have the standard deviation for the population, which means that we use the z-distribution to solve this question.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{16.25}{\sqrt{51}} = 4.46[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 70.72 - 4.46 = 66.26
The upper end of the interval is the sample mean added to M. So it is 70.72 + 4.46 = 75.18
The correct answer is z-method: (66.26, 75.18)
COMBINE ALL LIKES TERMS.
r+r+r+r
r+3r+2
Answer:
r+r+r+r=4r
r+3r+2=4r+2
Step-by-step explanation:
1. r+r+r+r
r+r+r+r
=(r+r)+(r+r) ⇔ Group two together
=2r+2r ⇔ Simplify
=4r
2. r+3r+2
r+3r+2
=4r+2
Hope this helps!! :)
Please let me know if you have any quesitons
Answer:
8r+2
Step-by-step explanation:
All of number 3 plz and thank u!
Make a box-and-whisker plot for the set of data.
21, 27, 27, 25, 21, 13, 18, 25
Two intersecting segments form the diagonals of a quadrilateral. What additional information do you need to know about the diagonals to prove that a quadrilateral is a parallelogram
Answer:
B. They must bisect each other
Step-by-step explanation:
Found the answer on quizziz
A line has a slope of 6 and a y-intercept of 9. What is its equation in slope-intercept
form?
Answer:
y=6x+9
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
Find the probability
Answer:
33.3333%
Step-by-step explanation:
each side would be 50% and if one side is split between three it would equal if it was 16.6667 each
since tehre are two red sides multiply 16.6667 by 2 and u get 33.3333%
what is the lateral area of the cone? 10 yd and 12.1 yd
Answer:
The lateral area will be "381 yd²". A further solution is provided below.
Step-by-step explanation:
The given values are:
Radius of cone,
r = 10 yd
Height of cone,
L = 12.1 yd
As we know,
The lateral surface area of cone is:
= [tex]\pi r L[/tex]
On substituting the values, we get
= [tex]\frac{22}{7}\times 10\times 12.1[/tex]
= [tex]\frac{22}{7}\times 121[/tex]
= [tex]380.28 \ yd^2[/tex]
0r,
= [tex]381 \ yd^2[/tex]
Find the value of x. Round to the
nearest tenth.
х
33
6
Answer:
cos(33) = 6/X
cos(33)*6= X
X= 5.03202340767254
rounded to the nearest tenth it is 5
therefore X= 5
The value of x in the given digram using trigonometry to the nearest tenth is 7.15.
What is the value of x ?The given image is a right triangle. A right triangle is a triangle that has three sides with one of the angles measuring 90 degrees.
Given an angle and the length of the adjacent side, we are to determine the value of the hypotenuse using cos.
Cos = adjacent / hypotenuse
cos 33 = 6 /h
h = 6 / cos 33
h = 6 / 0.83867
h = 7.15
To learn more about right angled triangle, please check: https://brainly.com/question/20694080
Will mark brainliest !! Easy math
Answer:
increase = 37.38 cm²
You'd like the first way because it took less effort and less chance of a miscalculation.
Step-by-step explanation:
first way:
(just work with the difference in height)
(0.7 x 8.7 x 2) + (0.7 x 18 x 2) = 37.38 cm²
second way:
old total lateral surface area = (31 x 8.7 x 2) + (31 x 18 x 2) = 1655.4
new total lateral surface area = (31.7 x 8.7 x 2) + (31.7 x 18 x 2) = 1692.78
increase = 1692.78 - 1655.4 = 37.38 cm²
Answer:37.38cm2
Step-by-step explanation:
Tell whether the following binomial is a factor of the polynomial
binomial- (x+8)
Polynomial- x^5-8x^4+8x-64
Please help :)
Answer:
Given polynomial
x⁵-8x⁴+8x-64= x⁴(x-8)+8(x-8)= (x-8)(x⁴+8)
after factorization of the given polynomial we didn't get any factor (x+8) , hence the following bionomial is not the factor of the polynomial.
Help please!!!! I’ll appreciate it so much!
Answer:
13. x = 4
14. x = -16
15. x = 11
Step-by-step explanation:
Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Connie plant in each flower bed?
(wrong answer will get you reported)
Answer:
43
Step-by-step explanation:
172/4= 43
Ez hw for my lil sis
Answer:
an apple is a cirlce and phone is a rectangle
Step-by-step explanation:
Answer:
Triangle and Circle
Banana and apple
Pizza and Pineapple
Bread and Corn
Find perimeter of rectangle when length = 4.6m and breadth = 360cm
Answer:
16.4 m²
Step-by-step explanation:
length = 4.6 m
breadth = 360 cm = 360 ÷ 100 = 3.6 m
Perimeter = 2*(l + b)
= 2 * ( 4.6 + 3.6)
= 2 * 8.2
= 16.4 m²
If I invest $1,000 at an 8.5% interest rate, how much money will I earn over 6 years?
6,000$
if the answer is wrong i am sorry :(
Answer:
$510
Step-by-step explanation:
A point is chosen at random on AK.
What is the probability that the point
will be on FI? Don't forget to reduce.
A B с E F G H I J KI
HHHHHHHHHHHHHH
-10 -8 -6 -4 -2 0 2 4 6 8 10
Answer: 3/10
Step-by-step explanation: 6/20 reduced = 3/10 for acellus
Probability -
Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail).Given,
A B с E F G H I J KI
HHHHHHHHHHHHHH
-10 -8 -6 -4 -2 0 2 4 6 8 10
So,
The probability that the point will be on FI
A B KI C D E E G H J
HHHHHHHHH
-6 -4 -2 0 2 4 6 8 -10° -8 10
Enter Done q W er t y u i O p a a s d f f gh j k Z X C V b n m X 123 space return .
Learn more about probability brainly.com/question/11034287
#SPJ2
Find the sum or difference. (5a – 3b2 – a) + (b – 5 + 8a2)
Answer:
C
Step-by-step explanation:
5a - 3b^2 - a + b - 5 + 8a^2
8a^2 - 3b^2 + 4a + b - 5
Find the degree of the polynomial – 3x + x² +3.
Answer:
Step-by-step explanation:
Degree means highest exponent. got it?
If I get 9 books for $36 of much does one cost
PLEASE HELP, anything appreciated
Answer:
1:81
Step-by-step explanation:
figure b is 81 times bigger
Are (-2,4), (2,4), (4,2), (-2,-4) a function?
Answer:
Yes
Step-by-step explanation:
What is the value of the smaller zero of the function f(x) = 2x2 - 8x - 24?
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
x + y - z = -2
2x - y + 3z = 9
x - 4y - 2z = 1
Answer:
8
Step-by-step explanation:
k
Which is bigger 3/12 or -4/5
Step-by-step explanation:
3/12 = 0.25
-4/5 = - 0.8
so since the 2nd one is negative.
so 3/12 is the bigger
JOE CAN READ 27 PAGES IN 3 HOURS. HOW MANY CAN HE READ IN 9 HOURS?
Solve this and put it an inequality.
|x - 7|=x-7
Answer:
x>=7
Step-by-step explanation:
Since the equation on the right is equal to the equation on the left that means that x has to be greater or equal to 7 to make the statement true.
A metal bar weighs 9.65 ounces. 78% of the bar is Gold. How many ounces of
Gold are in the bar? (round to the nearest thousandths)
Answer: 7.527 oz
Step-by-step explanation: 78%= 0.78
Mass of gold is 0.78 · 9.65 oz = 7.527 oz
A restaurantis planning to make changes to its menu. In order to decide which potential menu items are most popular with the city's population, the owners will conduct a survey. Which survey methods would produce a representative sample of the city's population
Answer:
Simple random sampling survey method
Step-by-step explanation:
A simple random sampling is an unbiased survey technique Hence it will represent all the parts of the city's population.
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process
Answer:
hope i helped :)
Step-by-step explanation:
some survey methods that could produce a representative sample of the city's population could be as follows:
o panel sampling
o online surveys
o mail-in surveys