Answers
[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]
Related Questions
The manager of a fast food restaurant is supposed to serve coffee that is 160 degrees Fahrenheit. A random sample of 20 cups of coffee reveal that the mean temperature is 151 degrees Fahrenheit with a standard deviation of 3 degrees. The manager would like to conduct a t-test for the population mean temperature of all cups of coffee served at this restaurant. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
Answers
Answer:
C. No, the Normal/large sample condition is not met.
Step-by-step explanation:
There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers
No, the Normal/large sample condition is not met.
Option C is the correct answer.
What is a t-test?A t-test is a statistical test used to determine whether there is a significant difference between the means of two groups or samples.
It is used when the sample size is small or the population standard deviation is unknown.
We have,
The conditions for inference in a t-test are:
Random condition:
The sample should be selected randomly from the population to ensure that the sample is representative of the population.
Normal/large sample condition:
The population should be normally distributed, or the sample size should be large enough to assume normality. A commonly used rule of thumb is that the sample size should be at least 30.
Independence condition:
The observations in the sample should be independent of each other.
In this case,
The random condition is met as the sample was selected randomly. However, the normal/large sample condition is not met since the sample size is only 20, and it's not clear if the population of coffee temperatures is normally distributed.
Therefore, the conditions for inference are not met, and a t-test for the population mean temperature of all cups of coffee served at this restaurant cannot be conducted.
Thus,
No, the Normal/large sample condition is not met.
Learn more about t-test here:
https://brainly.com/question/15870238
#SPJ3
Let f(x) = 2x + 1 and g(x) = 3x + 2. Which of the
following describes all values of x for which the
graph of y = f(x) lies below the graph of y = g(x)?
Answers
x= -1
good luck :)))
Please help me with this
Answers
Answer:
1850is the correct answer
What are the coordinates of the ride located 3.5 units away from the Merry-Go-Round and 1.25 units away from Roller Coaster 1? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answers
Answer:
-1.5, 0.5
Step-by-step explanation:
Jessie's school has 570 students. Thirty percent of the students are eighth-graders. One-third of eighth-graders walk to school. How many eighth-graders walk to school?
Answers
Answer:
57
Step-by-step explanation:
10% of 570 = 57 (dividing by 10). Times that by 3, which is 171. Now divide 171 by 3, equals 57 (the answer).
What does x and y equal
Answers
Xxxxxxxxxxxxx
Jane borrowed $800 from a bank for 4 years and was charged simple interest. The total interest that she paid on the loan was $160. As a percentage, what was the annual interest rate of her loan?
Answers
Each side of a square is 62/3 m long. Find its Area
Answers
Answer:
=> (62/3)m
Step-by-step explanation:
=> (62/3)²
=> (62)²/(3)²
=> 3844/9 m²
Answer:
427.11111
Step-by-step explanation:
This is the answer
What is the Theoretical Probability of landing on red? *
(10 Points)
43%
40%
36%
33.3%
Answers
i need help plzzzzzzzzzzzzzzzzzz what is 1/3(250)25.4=??????
Answers
Answer:
2116.6_
Step-by-step explanation:
3. Solve triangle ABC if a = 4, b = 6, and c = 5.
Show work
Answers
Answer:
4 x 6 x 5= 120 divided by 2 equals 60 because 4 x 6 = 24 x 5 = 120 and u divide by 2 when its a triangle. :) hope this helps
Step-by-step explanation:
https://socratic.org/questions/in-triangle-abc-a-4-b-6-c-8-how-do-you-find-the-cosine-of-each-of-the-angles
Jeff is buying books at a used bookstore. He wants to approximate the total cost of his purchase before checking out. Which amount is the most reasonable approximation of the total price of the 5 books?
Answers
Answer:
35 is a reasonable amount
Step-by-step explanation:
Since all of the books cost around $7 and there are 5 books
when you multiply 7x5=35
PLS HELP
Two students are comparing scientific experiments to investigations. They came up with the following ideas.
Student A: Testing plant growth in different types of soils
Student B: Comparing the water level in a lake during different times of the year
Which student gave an example of a scientific experiment?
Student A because it requires experimental and control groups
Student B because it requires a hypothesis
Student A because it is preferably done in natural settings
Student B because it is preferably done across a long period of time
Answers
Answer:
a
Step-by-step explanation:
A because it requires experimental and control groups
What is m X to the nearest degree?
Help plssss
Answers
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos X = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{13}{18}[/tex] , then
∠ X = [tex]cos^{-1}[/tex] ([tex]\frac{13}{18}[/tex] ) ≈ 44° ( to the nearest degree ) → A
I NEED HELP ASAP
Acellus
Find the value of x. Round to the
nearest tenth.
X
372
6
x = [ ?
Answers
good luck :))))
1/2 2/3 3/4 the average
Answers
Answer:
23/36
Step-by-step explanation:
Add all the numbers
1/2 + 2/3 + 3/4 = 23/12
Divide by 3
23/12 / 3 = 23/36
What is the volume of this triangular prism?
Answers
Answer:
Given:
perpendicular [p]=9cm
base[b]=15cm
length[l]=4cm
we have
the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l
=½×9×15×4=270cm³
270cm³ is a required volume.
Answer:
[tex]\displaystyle V _{ \text{prism}} = 270 {cm}^{3} [/tex]
Step-by-step explanation:
we are given a triangular prism
we want to figure out the Volume of the given Prism
remember that,
[tex] \rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l[/tex]
since the base is triangle the formula of base area should be the formula of the area of a triangle
thus,
[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l[/tex]
substitute
[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4[/tex]
remove parentheses:
[tex] \displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4[/tex]
reduce fraction:
[tex]\displaystyle V _{ \text{prism}} = 9\times 15\times 2[/tex]
simplify multiplication:
[tex]\displaystyle V _{ \text{prism}} = 270[/tex]
hence, the Volume of the given prism is 270cm³
-3×1/4-6 please help im losing my mind
Answers
Answer:
-45/4 or -11.25
I'm pretty sure this is right hope it helps
Answer:
Simplify the expression:
Exact form:
-27/4
Decimal form:
-6.75
Mixed number:
-6 3/4
Step-by-step explanation:
The / actually means to divided.
Write the number in scientific notation.
98,000
X10^
Answers
Answer:
9.8x10^5 really hope this helps
Answer:
980,000,000,000,000
Step-by-step explanation:
The radius of a cylinder is measured in inches. What unit will the volume be measured in?
will give brainlist
cubic inches
feet
square inches
inches
Answers
Answer:
Cubic Inches
Step-by-step explanation:
I hope this helps you.
Find the volume of the pyramid. Someone help plz
Answers
Answer:
2880
Step-by-step explanation:
10 x 8 x 6 x 12 = 5760/2 = 2880
PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.
Answers
Answer:
p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original. More
Answer:
The perimeter will be 10 times the original.
Step-by-step explanation:
The sum of a number and five divided by fifteen
Answers
Answer:
Option F
Step-by-step explanation:
Let the number be n.
Sum of a number and 5 is n + 5.
Sum of a number and five divided by fifteen is
( n + 5 ) / 15
15 cm
15 cm
10 cm
10 cm
1
10 cm
1
8.66cm
1
The surface area of the three-dimensional figure is
square centimeters.
Picture is quite a bit more helpful
Answers
Answer:
Total surface area = 536.6 cm²
Step-by-step explanation:
Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)
Area of rectangle (1) = Length × Width
= 10 × 15
= 150 cm²
Area of rectangle (2) = 10 × 15
= 150 cm²
Area of rectangle (3) = 10 × 15
= 150 cm²
Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Total surface area = 150 + 150 + 150 + 43.3 + 43.3
= 536.6 cm²
What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}
Answers
Answer:
15.866
Step-by-step explanation:
you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).
12+13+29+18+61+35+21 = 189189/7 = 27you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.
first, subtract the mean from all the data points
12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6then, square each calculated value from above
-15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36then, add the squared values together
225+196+4+81+1156+64+36 = 1762you would then divide 1762 by 7 (number of data values given orginally)
1762/7 = 251.714finally, take the square root of 251.714 to find the standard deviation
[tex]\sqrt{251.714} = 15.866[/tex]What is the sum of ( 3 . 4 × 10 8 ) + ( 7 . 5 × 10 8 ) ?
A.
1
.
09
×
10
9
B.
1
.
09
×
10
8
C.
1
.
09
×
10
17
D.
1
.
09
×
10
16
Answers
Devon ends up paying extra 28% in intrest, if the ps5 is 500 how much did he pay in intrest?
Answers
Answer:
780
Step-by-step explanation:
i think sorry if it is wrong
plssssss helpppppppppppppppppppp
Answers
Answer:
c
Step-by-step explanation:
In the right triangle shown,
m
∠
V
=
60
°
m∠V=60°m, angle, V, equals, 60, degree and
U
V
=
18
UV=18U, V, equals, 18.
60
°
60°
x
x
18
18
U
U
W
W
V
V
How long is
U
W
UWU, W?
Answers
Answer:
what
Step-by-step explanation:
A right cylinder has a circumference of 14π cm. Its height is 3 times the radius. Identify the lateral area and the surface area of the cylinder.
L = 923.6 cm2 ; S = 1231.5 cm2
L = 967.6 cm2 ; S = 1231.5 cm2
L = 294 cm2 ; S = 392 cm2
L = 461.8 cm2 ; S = 967.6 cm2
Answers
Answer:
L=923.6 cm2 ; S =1231.5 cm2
Explanation:
L=2πR
L=14π
2πR=14π
R=14π/2π=7 - the radius
h=3R=3*7=21 -the height
S(l)=2πRh=Lh=14π*21=294π≈923,6 - the lateral area
S(s)=2πR²+Lh=2π*7²+294π=2π*49+294π=98π+294π=
=392π≈1231,5 -the surface area