Answer:
c. We are 92% confident that the mean height of the entire business is in this interval.
f. The 85% confidence interval is a subset of the 92% confidence interval.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
Margin of error:
The larger the confidence interval, the larger the margin of error. That means that for example, an 85% confidence interval is a subset of the 92% confidence interval.
In this question:
92% confidence interval -> We are 92% sure that the population mean is in this interval.
The 85% confidence interval is a subset of the 92% confidence interval.
So options c and f.
Find the exact value of cos (11pi/8)
Thank you!! I will mark brainliest!!
The exact value of [tex]cos(\frac{11\pi }{8} )[/tex] is [tex]-\sqrt{\frac{2+\sqrt{2} }{4} }[/tex].
What is the exact value of trigonometric function?The exact values of trigonometric functions are values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers. These values are also called analytic values of trigonometric functions or trigonometric values of special angles.
What is trigonometric function?The trigonometric functions are also called the angle functions, which relates the angles and the ratios of the sides of a right angle triangle.
According to the given question.
We have a trigonometric function
[tex]cos(\frac{11\pi }{8} )[/tex]
We have to find the exact value of the above trigonometric function.
since,
[tex]\frac{11\pi }{8}[/tex] can be written as [tex](\pi +\frac{3}{8\pi } )[/tex]
[tex]\implies cos(\frac{11\pi }{8} ) = cos(\pi +\frac{3}{8}\pi )[/tex]
And we know that,
Cos(π + θ) = -cosθ
Because, π + θ lies in third quadrant and in third quadrat cos gives negative values.
Also,
[tex]cos\frac{\alpha }{2} = \pm\sqrt{\frac{1+cos\alpha }{2} }[/tex] ....(i)
Therefore,
[tex]cos(\pi +\frac{3}{8} \pi )[/tex]
[tex]= -cos(\frac{3}{8} \pi )[/tex]
[tex]= -cos(\frac{3}{2(4)} \pi )[/tex]
[tex]= -\sqrt{\frac{1+cos\frac{\pi }{4} }{2} }[/tex]
[tex]= -\sqrt{\frac{1+\frac{1}{\sqrt{2} } }{2} }[/tex]
[tex]= -\sqrt{\frac{1+\frac{\sqrt{2} }{2} }{2} }[/tex]
[tex]= -\sqrt{\frac{2+\sqrt{2} }{4} }[/tex]
Hence, the exact value of [tex]cos(\frac{11\pi }{8} )[/tex] is [tex]-\sqrt{\frac{2+\sqrt{2} }{4} }[/tex].
Thus, option A is correct.
Find out more information about exact value of trigonometric function here:
https://brainly.com/question/19552534
#SPJ2
what is the slope of the line shown?
Solve for x, show work!
Answer: x=3
Step-by-step explanation:
One of the properties of diagonals of a rectangle is that they bisect each other, meaning that four segments are equal.
For example, in this question, according to the property, AE, CE, DE, BE will be equal.
Solve:
AE=CE
AE+CE=AC
CE+CE=AC
DB=AC
DB=2CE
(18)=2(4x-3)
18=8x-6
18+6=8x-6+6
24=8x
24/8=8x/8
x=3
Hope this helps!! :)
Please let me know if you have any questions
Find the lateral area, surface area and volume of the cube
Answer:
Lateral Area = 13 x 13 x 4 = 676 ft²
Surface area = 13 x 13 x 6 = 1014 ft²
Volume = 13 x 13 x 13 = 2197 ft³
Please help me i will give you 50 points if you do
Answer:
6(4X-1) = 24X -6 , (2 . 12X ) - (2 . 3) .
24X+6 = (6 . 4X) + (6 . 1) , 6( 4X + 1 ) .
(4 . 6X) - (4 . 2) = 24X + 8 , 4(6X + 2) .
Step-by-step explanation:
Hope it was helpful dear , good luck ^^
On a survey of students at CAMS, 75% of students said
they preferred Soda instead of Juice.
6. If 420 students preferred Soda, how many students
did they survey in total?
Answer:Total number of students surveyed =560
Step-by-step explanation:
Number of students who preferred soda =420
Percentage of students who preferred Soda =75%
Percentage of students who preferred juice =100-75%=25%
Using the formula,
Percentage of students who preferred Soda x total number of students surveyed =Number of students who preferred soda
Therefore we have that
total number of students surveyed =Number of students who prefeerd juice/Percentage of students who preferred Soda
Total number of students surveyed =420/75%
=560
Find the surface area of the prism. 3m, 4m, 8m,5m
Step-by-step explanation:
480 is the answer // provide picture for better answer
The rabbit population at the city park increases by 14% per year. If there are intially 481 rabbits in the city park.
Write a model for the population (y) in terms of years (t).
y =
Find the population in 17 years.
Answer:
y = 0.14t + 481
Population in 17 years: 483.38
Step-by-step explanation:
y = (m) (x) + b
y = (slope) (x) + starting value
2 1/2 ft x 1/4 ft
please help
Step-by-step explanation:
0.0580644 m2 hope this helps
Step-by-step explanation:
Here,
[tex] \frac{21}{2}ft \: \times \: \frac{1}{4} ft[/tex]
[tex] = \frac{21}{8} {ft}^{2} [/tex]
OR :
[tex]2 \frac{5}{8} {ft}^{2} \: \: also \: \: \: 2.625 {ft}^{2} [/tex]
Write 2.83 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
Answer:
Mixed number: [tex]2\frac{83}{100}[/tex]
Improper Fraction: [tex]\frac{283}{100}[/tex]
Answer:
[tex]\frac{238}{100}\\\\2\frac{38}{100}[/tex]
Step-by-step explanation:
2.83/1
To make this a normal fraction, the top has to be a whole number, so we can multiply the top and bottom by 100 to slide the decimal point twice.
238/100
This can be shown as a mixed number by removing the 200 which is divisible by 100
[tex]2 \frac{38}{100}[/tex]
Note: The reason the question says not to simplify is because 283 is a prime and cannot be simplified
15) Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of
water at the store. How many gallons of liquid did she buy?
Answer:
3 liquid gallons
Step-by-step explanation:
3 + 4 + 5 = 12
12 ÷ 4 = 3 liquid gallons
can someone help me pls?
PLEASE HELP ME PLEASE!
Which of the numbers given
are rational?
Select all that apply:
8.634092...
6.28232
7144
1.465359...
32.71481
Answer:
7144
Step-by-step explanation:
Ellie puts 35 quarter into stacks with the same number of quarter in each stack
Answer:
Ellie can make eight stacks of quarters with four quarters in each stack
Step-by-step explanation:
42 - 5z + 3(x + y), when x=4, y=9, z=7
Answer:91
Step-by-step explanation: 42 - 5(7) (4+9)
5*7=35
42-35= 7
(4+9)=13
7(13)= 91
The value of expression,42 - 5z + 3(x + y) at x=4, y=9, z=7 will be 46.
What is a mathematical expression?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.
It is given that the expression is,42 - 5z + 3(x + y)
We have to find the value of the expression at x=4, y=9, and z=7.
The value of the expression is obtained by putting the values,
=42 - 5z + 3(x + y)
=42-5(7)+3(4+9)
=42-35+3(13)
=42-35+39
=46
Thus, the value of the expression will be 46.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Howard invested $2,500 in a local bank at a rate of 1.25% for 5 years. How
much interest will Howard earn in 5 years?
What is the slope-intercept equation of the line going through (3, -6) and
(1,2)?
A. y=-4x+ 2
B. y = -4x + 1
O c. y-2 = -4(x - 1)
O D. y=-4x + 6
Hi there!
[tex]\large\boxed{D. \text{ }y = -4x + 6}[/tex]
To derive an equation given the points, we can use the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x{1}}[/tex]
Plug in the corresponding coordinates:
[tex]slope = \frac{-6-2}{3-1}[/tex]
Simplify:
[tex]slope = \frac{-8}{2} = -4[/tex]
Therefore, we have:
y = -4x + b
Plug in the x and y values for a coordinate to solve for b:
2 = -4(1) + b
2 = -4 + b
b = 6
The equation is:
y = -4x + 6. The correct answer is D.
Giving brainly to the correct answer!
Answer: A
Step-by-step explanation:
Well four weels in every car so it’s 4 times cars (a)
4 times A=W
Step-by-step explanation: im smart also if u do multiply it by a by 4 it equals W
need please solving for x
Answer:
x = 15
Step-by-step explanation:
Corresponding sides of similar shapes are proportional to each other. Thus:
(10 + 2)/10 = (x + 3)/x
12/10 = (x + 3)/x
Cross multiply
12*x = (x + 3)*10
12x = 10x + 30
12x - 10x = 30
2x = 30
x = 30/2
x = 15
Help me with this question. Thx!
Which choice includes all of the solutions to 2x2 + x – 3 = 0 by factoring
A. 1
B. 3, –1/2
C. –1, 3/2
D. 1, –3/2
Answer:either c or b
Step-by-step explanation: to be honest I searched up
The solution of Equation 2x² + x -3 =0 by factoring is 1 and -3/2.
What is Factorization?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
We have the equation 2x² + x -3 =0
Now, factorizing the above equation using splitting the middle term we get
2x² + x -3 =0
2x² + 3x - 2x -3 =0
x( 2x + 3) - (2x+ 3)= 0
(2x + 3)(x - 1)= 0
x = -3/2 or 1.
Learn more about Factorization here:
https://brainly.com/question/14026649
#SPJ7
A fundraiser was able to raise money to buy food for the food pantry.
They collected $34.99, $38, $12.30, and $45 last week.How much did they
collect in all?
Answer:
https://youtu.be/cqF6M25kqq4
Step-by-step explanation:
NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answer:
c is the anser
Step-by-step explanation:
Solve for f(2)
f(x)=2x-4
f(2)=?
Answer:
0
Step-by-step explanation:
Plug 2 in for x
[tex]2(2) -4[/tex]
Simplify
[tex]4-4[/tex]
[tex]=0[/tex]
can someone pls help me
Answer:
arc EFC = 237°
Step-by-step explanation:
arc DEF = 140°
arc EF = 140° - 83° = 57°
arc DC = arc FG
arc DC = (360° - 140° - 140°)/2 = 40°
arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°
PLEASEEE HELP PLS ASAPPP GIVING BRAINLIEST!!!!
Answer:
50 is the answer brainliest?
Step-by-step explanation:
At a furniture store, the employees earn a 2.5% commission on every sale they make. If Ginny made $8850 in sales one week, how much did she earn in commission?
help please :( 100 points
Answer:
She earned 221.25 in commission
Step-by-step explanation:
2.5% of 8850 is 221.25
HELP NEED SOON!! A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were
defective. A store clerk generates random numbers to simulate a random sample of this shipment. The
clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through
5,000 represent working MP3 players. The results are given.
4,942 368 110 4,758 4,452 610 773 171 460 2,699
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
defective players in the shipment.
Answer:
2?
Step-by-step explanation:
From my understanding, all numbers 300 and below represent defective mp3s, so there's two.
Find the perimeter of the polygon with the vertices G(2, 4), H(2,−3), J(−2,−3), and K(−2, 4).
Answer:
22 units
Step-by-step explanation:
Graphed to solve.
Width:
The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.
Length:
The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.
14 + 8 = 22