Answer:
a) x = 1.52
b) s = 1.16
Step-by-step explanation:
We have that:
5 students watched 0 movies.
9 students watched 1 movie.
5 students watched 2 movies.
5 students watched 3 movies.
1 student watched 4 movies.
(a) Find the sample mean x.
Sum divided by the number of students. So
[tex]x = \frac{5*0 + 9*1 + 5*2 + 5*3 + 1*4}{5 + 9 + 5 + 5 + 1} = \frac{38}{25} = 1.52[/tex]
(b) Find the approximate sample standard deviation, s.
Standard deviation of the sample.
Square root of the sum of the squares of the values subtracted from the mean, divided by the sample size subtracted by 1. So
[tex]s = \sqrt{\frac{5*(0-1.52)^2 + 9*(1-1.52)^2 + 5*(2-1.52)^2 + 5*(3-1.52)^2 + 1*(4-1.52)^2}{24}} = \sqrt{\frac{32.24}{24}} = 1.16[/tex]
The Ferris wheel at the fair requires riders to be over 48 inches
tall. How tall are all eligible riders?
Answer:
4ft
Step-by-step explanation:
Lana runs a business where she fixes bikes. She charges $15.75 per hour for her labor as well as a $25 flat fee for any parts she may use. Write and solve a linear equation to find the total cost for her customer if she fixes a bike from 8:30 a.m. to 12:30 p.m
Answer:
y = 15.75x + 25 is the linear equation
$88 would be the total cost
Step-by-step explanation:
First, create the equation using y = mx + b, where x is the number of hours:
y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25
There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:
y = 15.75x + 25
Plug in 4 as x:
y = 15.75(4) + 25
y = 63 + 25
y = 88
So, the total cost would be $88
which of the following is divisible by 9?
Answer:
If a numbers digits add up till 9
Step-by-step explanation:
Please help!!!
Can someone find out what a, b, c, and d is??
Answer:
a=64
b=112
c=78
d=88
Step-by-step explanation:
hope this helps have a nice day !!!
Michael canned 4,713 quarts of blueberries over the summer. By the end of the year he had used 1/3 of what he had canned. How many quarts of blueberries had he used?
Answer:
he used 1,571
Step-by-step explanation:
if you divide 4,713 by 3, you get 1,571 and that amount is equal to just 1/3 of the amount.
Mario Works in a bakery he made 90 more loaves of bread on Saturdays and he did on Sunday he made 70
loaves of bread on Monday than he did on Sunday if he made 340 loaves of bread on Monday how many loaves of bread did he make on Saturday
Answer: 360
Step-by-step explanation:
Question: Mario Works in a bakery he made 90 more loaves of bread on Saturdays and he did on Sunday he made 70
loaves of bread on Monday than he did on Sunday if he made 340 loaves of bread on Monday how many loaves of bread did he make on Saturday.
so since he made 340 loaves of bread on monday and 70 less on sunday and 90 more on saturday 340-70 is 270 so he made 270 loaves on sunday and 270+90=360 so he made 360 loaves on saturday. plz mark me brainliest
What is the relationship between the angles of this equilateral triangle
Answer:
Is it A+B+C= 180 degrees
Step-by-step explanation:
all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees
Answer:
Is it A+B+C= 180 degrees
Step-by-step explanation:
all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees
A square is 5 inches on each side. A small square, x inches on each side, is cut out from each corner of the original square. Represent the area of the remaining portion of the square in the form of a polynomial function A(x).
Answer:
A(x)= (5×5)-[4(x×x)]Hope this helps!A sinusodial function whose frequency is 3, maximum value is 12, minimum value is -6 has a y-intercept of 3.
What function could be the function described
Answer:
f(x)=9sin(6πx)+3
State the domain and range of the relation given in the table below, and determine if it is a function,
х 16 -8 4 1 -8 7
y 8 -6 -14 -9 7 24
Domain: {
Range:{
Is the relation a function?
O No
OYes
Brian bought a computer
marked down from $380 to
$133. What is the discount,
as a percentage?
A:70%
B:60%
C:65%
D:75%
Answer:
Step-by-step explanation:
100(133-380)/380=-65%
So the discount was 65%
PLEASE HELP!!!
The polygons are similar. The area of one polygon is given. Find the area of the other polygon
Answer:
Area of the other polygon = 4 in.²
Step-by-step explanation:
Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon
Let "x" represent the area of the smaller polygon
Thus, we have:
100/x = 20²/4²
100/x = 400/16
100/x = 25
Cross multiply
25x = 100
Divide both sides by 25
25x/25 = 100/25
x = 4
Area of the other polygon = 4 in.²
Help plzzz I need answer ASAP
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 139t + 185,
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after
seconds.
How high above sea level does the rocket get at its peak?
The rocket peaks at
meters above sea level.
Answer:
the splash down occurs when h(t) = 0
0 = -4,9t2 + 139t + 185
using the quadratic formula,
t = -1.27 or 29.64 seconds
since time can't be negative
t = 29.64 secs
at the peak, h(t) is maximum
applying calculus,
[d{h(t)}}/dt = -9.8t + 139
at h(t) maximum, [d{h(t)}}/dt is 0
0 = -9.8t + 139
9.8t = 139
t = 14.18 secs
substituting,
h(t) = – 4.9t2 + 139t + 185
h(t) = -4.9(14.18^2) + 139(14.18) + 185
= 1170.77 m
Answer:
Step-by-step explanation:
y = ax² + bx + c
D = b² - 4ac
[tex]x_{12}[/tex] = ( - b ± √D ) ÷ 2a
[tex]y_{max}[/tex] = - [tex]\frac{b}{2a}[/tex]
~~~~~~~~~~~~~
h(t) = - 4.9t² + 139t + 185
- 4.9t² + 139t + 185 = 0
D = 139² + 4(- 4.9)(185) = 22947
[tex]t_{12}[/tex] = ( - 139 ± √22947) ÷ 2(- 4.9)
[tex]t_{1}[/tex] ≈ 29.641 ≈ 30 seconds
[tex]t_{2}[/tex] < 0
[tex]h_{max}[/tex] = - 4.9( [tex]-\frac{139}{2(-4.9)}[/tex] )² + 139( [tex]-\frac{139}{2(-4.9)}[/tex] ) + 185 ≈ 1170.7653 ≈ 1171 meters
Please help me with this question!
There is a scale model of the White House in Tobu World Square in Japan. The scale used for the model is 1:25. The height of the main building of the White House is 85 feet. Find this height on the model. (3.4 feet)
Answer:
3.4 multiply 1-4
Step-by-step explanation:
there is a scale of white house
Find the LCM of 16,25 and 35 using the prime factorization method
Answer:
it's 2800
Step-by-step explanation:
2×2×2×2×5×5×7
PLEASE HELP
If Joey can run 24 miles in 6 hours, how many miles
can he run in 2 hours? SHOW YOUR WORK! (Hint:
Use equivalent ratios/fracción
Answer:
8 miles
Step-by-step explanation:
24 miles/6 hours = 4 miles per hour
4 miles per hour x 2 hours = 8 miles
Answer:
8 miles
Step-by-step explanation:
24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.
Help please!
Store A sells jeans for 7/8 of the price at Store B. Store A sells jeans
for $35. Write and solve an equation to find how much you save by
buying jeans at Store A.
Answer:
35/(7/8)=
35*8/7=40 store B
40-35=$5 Saved
Step-by-step explanation:
Hope this helps :D
please help, the answer i have picked is just a guess btw
Answer:
I D K buy hope you find the right answer
Step-by-step explanation:
Answer:
113.04in²it is the total and correct answer
The table below models a exponential function. Find f(8)
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1
PLEASE HELP ILL GIVE BRAINLIEST
Which exponential functions have been simplified correctly? Check all that apply.
f(x) = 53/16* = 5(23/2)*
F(x) = 2.310 Ž* = 2.3(43*
F(x)=81-34
OfW) = 27' = (3/3)*
Orx)=(24) ** = 2(13)
Answer:
A, C, and D are the exponential functions that have been simplified correctly
Plz helpp!!! Very crucial!!!
The slope of a line is 1/3.
What is the slope of a line perpendicular to this line?
Answer:
-3
Step-by-step explanation:
Slopes of a perpendicular line are the opposite reciprocal.
So, the opposite of 1/3 is -1/3.
Then the reciprocal of -1/3 is -3 (since -3 is -3/1).
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
The proportion of twins born in a town is p = 0.12. Suppose we randomly select 100 women from this town who give birth in the next year.
Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat ?
Sigma Subscript p hat Baseline = 0.001 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.001 from the true proportion, p = 0.12.
Sigma Subscript p hat Baseline = 0.032 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, p = 0.12.
Sigma Subscript p hat Baseline = 0.035 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.035 from the true proportion, p = 0.12.
Sigma Subscript p hat Baseline = 0.106 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.106 from the true proportion, p = 0.12.
Answer:
B. Sigma Subscript p hat Baseline = 0.032 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, p = 0.12.
Step-by-step explanation:
took the quiz
The correct calculation and interpretation of the standard deviation of the sampling distribution of p hat is the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, 0.12.
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
The standard deviation of the sampling distribution of p hat is given as,
[tex]\sigma_{ \hat p}=\sqrt\dfrac{p(1-p)}{n}[/tex]
Here, p is the proportion and n is the number of sample.
The proportion of twins born in a town is p = 0.12. Now there is randomly select 100 women from this town who give birth in the next year.
[tex]\sigma_{ \hat p}=\sqrt{\dfrac{0.12(1-0.12)}{100}}\\\sigma_{ \hat p}=\sqrt{0.001056}\\\sigma_{ \hat p}=0.032[/tex]
Thus, the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat is the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, 0.12.
Learn more about the random sample here;
https://brainly.com/question/17831271
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Does anybody know what measures a, b, and c would be?
Answer: A = 28 B = 47 C = 105 in degrees
Step-by-step explanation:
OKAY JUST A DISCLAIMER:
I did Geometry last year and the concepts are basically gone but I think I remember how to do this one
So I think one of the theorems stated that the inner angle is half of the outer arc.
So.. angle a would be 56/2 = 28
Angle b would be 94/2 = 47
Angle C is a vertical angle to the angle in the triangle, so it would be 180-47-28=105
Question 3
Name the transformations of the next equation y
Answer:
1غىخةضهاثضخ
Step-by-step explanation:
ى7غ-3ص0ض49ة=