Answer:
6x5=30
Step-by-step explanation:
30÷5=6
n=6
6×5=30
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows. # of movies Frequency 0 5 1 9 2 5 3 5 4 1 (a) Find the sample mean x. (Enter your answer to two decimal places.) x = (b) Find the approximate sample standard deviation, s. (Round your answer to two decimal places.) s =
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]
suppose f(x) is continuous and that f(-5)=2, f(0)=-3. f(3)=2, f(7)=-4, f(8)=-1.Which smallest interval where f (x)= 0 is guaranteed to have a solution: [-5,0], [0,3], [3,7], or [7,8]?
Answer:
[0,3]
Step-by-step explanation:
Using a special case of mean value theorem, The Intermediate Zero Theorem:
if sign changes in continuous function, it pass through zero:
f(-5)=2, f(0)=-3. f(3)=2, f(7)=-4, f(8)=-1
[-5,0], [0,3], [3,7] guarantee a solution
smallest : [0,3]
2.
Find the Area of the Shaded Region. (15 pts)
2 m
7 m
12 m
10 m
Answer:
120 - 14 = 106
Step-by-step explanation:
7 x 2 = 14
10 x 12 = 120 therefore you,
120 - 14 = 106
The area of the shaded region is 106 m².
We have,
The area of the rectangle:
= length x width
From the figure,
Bigger rectangle dimensions:
Length = 12 m
Width = 10 m
Smaller rectangle dimensions:
Length = 7 m
Width = 2 m
Now,
The shaded region.
= Area of the bigger rectangle - Area of the smaller rectangle
= 12 x 10 - 7 x 2
= 120 - 14
= 106
Thus,
The area of the shaded region is 106 m².
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Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
Write your answer in the form a|x–h|+k, where a, h, and k are integers.
Answer:
g(x) = |x - 2| - 9
Step-by-step explanation:
Translations of a function f(x):
Translation of f(x) by a units to the right is given by f(x - a).
Translation of f(x) by a units to the left is given by f(x + a).
Translation of f(x) by a units down is f(x) - a
Translation of f(x) by a units up is f(x) + a
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
2 units right: f(x - 2) = |x - 2|
9 units down: f(x - 2) - 9 = |x - 2| - 9
The answer is: g(x) = |x - 2| - 9
someone help please! I’m not sure but I got 1/(-32)^-1.4 but I feel like it’s incorrect. With IXL my score will go down if it’s wrong so please make sure it’s correct
Answer:
1/(32^1.4)
Step-by-step explanation:
1/(32^1.4)
Q. work out the working capital Ratio:
cash at Bank 12000
stook. 18000
Debfors. 24000
Bills payable. 7000
creditors. 17000
cost of sales. 150000
> formula : working copital current Assets - current liabilities
Answer:
30,000
Step-by-step explanation:
The computation of the working capital is shown below:
As we know that
Working capital = current assets - current liabilities
where
Current assets = Cash at bank + stock + debtors
= 12,000 + 18,000 + 24,000
= 54,000
And, the current liabilities = bill payable + creditors
= 7,000 + 17,000
= 24,000
So, the working capital is
= 54,000 - 24,000
= 30,000
If fg(x) = 2x + 1, and f(x) = x + 2, find g(5) and g-'f'(1).
Answer:
g(5) - f(1) = 8
g(5) = 11
Step-by-step explanation:
Given:
g(x) = 2x + 1
f(x) = x + 2
Find:
g(5)
g(5) - f(1)
Computation:
g(x) = 2x + 1
g(5) = 2(5) + 1
g(5) = 11
f(x) = x + 2
f(1) = 1 + 2
f(1) = 3
g(5) - f(1) =11 - 3
g(5) - f(1) = 8
OF FRACTIONS
EXERCISE 8-2
Solve these problems. Show your work,
(1) An interior wall of a house is made up of
2 x 4 studs covered on each side with 3/4 in.
wallboard. If the actual width of a 2 x 4 stud
is 3 5/8 in., what is the total thickness of the
wall?
Answer:
qsyyyyyy ;-;
P(-7, 1) ➡️ P' ( __, __)
Q(-7, 6) ➡️ Q' ( __, __)
R(-10, -3) ➡️ R' ( __, __)
9514 1404 393
Answer:
P'(1, -7)
Q'(6, -7)
R'(-3, -10)
Step-by-step explanation:
The relevant transformation is ...
(x, y) ⇒ (y, x) . . . . . . reflection over y=x
Simply interchange the x- and y-coordinates.
P'(1, -7)
Q'(6, -7)
R'(-3, -10)
Question 4 Multiple Choice Worth 1 points)
(05.02 LC)
Find the measure of angle x in the figure below
A - 65°
B - 70°
C - 110°
D - 125
Answer:
B because 180 - 55 +55 u get 70 due to opposite sides x us also 70
Answer:
x=180-55-55=180-110=70° is your answer
Consider the reflectional symmetry of the rhombus.
How many lines of symmetry does the shape have?
0
1
2
4
Answer:
2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
One interior angle of a triangle is 30⁰. The other angle measures are x⁰ and y⁰. Which of the following could be the values of x and y? Select ALL that apply
Step-by-step explanation:
One interior angle of a triangle = 30⁰ .
The measure of other two are x and y .
We know that the angle sum property of a triangle is 180⁰ .
=> x + y + 30⁰ = 180⁰
=> x + y = 180⁰ - 30⁰.
=> x + y = 150⁰.
Possible solution set of x and y are ,
(1,149) (2,148 ) ...... (148+2) & (149+1)
Basically we are here decreasing y and increasing x to obtain the values .
Hope it helped !
3. A new restaurant in town is surveying residents to determine how much they typically pay for a meal out. Which of the following best describes a random sample? A. They go door-to-door in a nearby neighborhood. B. They randomly select 50 residents of a local nursing home. C. They call 200 randomly selected town residents. D. They ask patrons if the price was reasonable.
Answer:
C
Step-by-step explanation:
A is specific to a single neighborhood
B is specific to a single nursing home
D is specific to only patrons
When looking for a random sample, in this case - the town, you have to consider how to select based on the entire sample.
What is the name of a 16-sided polygon?
heptadecagon
16agon
16-gon
decahexagon
A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 6 feet
in length. How many 18-inch pieces can the dressmaker cut from 10 of these rolls of
ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in
total?
Help me out please ??
I DONT WANT HOW TO DO IT JUST THE ANSWER
Part A
Which rule defines the function in the graph?
Answer:
c because yes
Step-by-step explanation:
trust me it's C
картопля містить 20 % крохмалю. скільки картоплі потрібно для одержання 12 кг крохмалю
Answer:
Для виготовлення 1 кг крохмалю потрібно 6 кг картоплі.Скільки крохмалю одержали з 30 кг картоплі. только пожалуйста условие задачи а не ее решение
Step-by-step explanation:
I need help with part b and c, I did a already
Answer:
a) V = 35.1 in.^3
b) V = 288 pi in.^3
c) h = 2.7 in.
Step-by-step explanation:
a)
radius of base = 2 in.
height = 8 in.
volume of cone = (1/3)(pi)(r^2)h
V = (1/3)(pi)(2 in.)^2(8 in.)
V = 35.1 in.^3
You are correct.
b)
You must leave the answer in terms of pi, so do not use 3.14 or another approximation for pi.
radius of base = 6 in.
height = 24 in.
volume of cylinder = (pi)(r^2)h
V = (1/3)(pi)(6 in.)^2(24 in.)
V = 288 pi in.^3
c)
volume = 288 pi in.^3
radius = 18 in.
288 pi in.^3 = (1/3)(pi)(18 in)^2 h
288 in. = (1/3)(324)h
288 in. = 108h
h = 2.666 in.
h = 2.7 in.
True False
Angle Phas the same measure as angle P!
Angle Q has the same measure as angle R.
Angle R has the same measure as angle R'.
Answer:
Step-by-step explanation:
Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and
then translated 11 units left to form Triangle P'Q'R'. Determine which of the following statements must be true regarding this transformation. Select True or False for each statement.
Angle P has the same measure as angle P'. T or F
Angle Q has the same measure as angle R'. T or F
Angle R has the same measure as angle R'. T or F
2. Write the coefficient of 'a' in each of the following termi) '5ax' (ii) '-4ab' (iii) '38abc' iv) '-24 ab^(2)c'
Answer:
The coefficients are:
[tex](a)\ 5x[/tex]
[tex](b)\ -4b[/tex]
[tex](c)\ 38bc[/tex]
[tex](d)\ -24b^2c[/tex]
Step-by-step explanation:
Required
The coefficient of a
To get the coefficient, we simply remove a. The remaining terms is the required coefficient
Solving (a):
[tex]Expression = 5ax[/tex]
Remove a
5x:
Hence, the coefficient is 5x
Solving (b):
[tex]Expression = -4ab[/tex]
Remove a
-4b
Hence, the coefficient is -4b
Solving (c):
[tex]Expression = 38abc[/tex]
Remove a
38bc
Hence, the coefficient is 38bc
Solving (d):
[tex]Expression=-24ab^2c[/tex]
Remove a
[tex]-24b^2c[/tex]
Hence, the coefficient is [tex]-24b^2c[/tex]
cool/3d18c3ab-98a2-4989-9e70-1d62f58e3bcf/Showitem?returnView=&studentItemid=0&backPath Question 3 of 17 A room has dimensions 10'6" X 14'. What is the perimeter of the room?
Answer:
Perimeter = 2*Length + 2*Width
= 2(10’6”) + 2(14)
= 21’ + 28’
= 49’
Step-by-step explanation:
The base of a triangle is 7 meters longer than the height of the triangle of the area of the triangle is 22 square meters what are the base and height of the triangle
Answer:
[tex]given \\ heigh(h) = 7m \\ area \: of \: triangle \: (a) = 22m {}^{2} \\ base(b) = x \\ a = \frac{1}{2} \times h \times b \\ \frac{a}{h} = \frac{1}{2} \times b \\ b = 2( \frac{a}{h} ) \\ b = 2( \frac{22m {}^{2} }{7m} ) \\ b = 6.29m \\ base = 6.29m[/tex]
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.
If the mirror is 45 feet away from the building’s base, how tall is the building
please show step by step
Answer:
Step-by-step explanation:
θ = angle of incidence = angle of reflection
You have two similar triangles.
tanθ = 6/4 = h/45
h = 45×6/4 = 67.5 ft
The required height of the building is 67.5 feet.
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. If the mirror is 45 feet away from the building’s base, how tall the building is determined.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Since the two triangles are similar,
Let the height of the building is x.
The ratio of height and distance from the mirror Jhonny = height and distance of mirror from the building.
6/4=x/45
x = 11.25*6
x = 67.5
Thus, the required height of the building is 67.5 feet.
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A store owner wants to prepare 100 lb of a candy mix that she will sell for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost.
Answer:
Fraction form:33/20 money:$1.65
Step-by-step explanation:
$0.2 + $x = %1.36
20 IB + 80 IB = 100 IB
Equation: 0.2*20+x*80=1.36*100
there fore the answer is 33/20
Answer:
33/20
Step-by-step explanation:
What is the correct name for a 9-sided polygon?
decagon
octagon
nonagon
ninagon
Answer:
nonagon
Step-by-step explanation:
The correct name for a 9-sided polygon is nonagon.
Answer:
option c. nonagon
..............
You buy a watch for $31.68, it includes a 5.6% sales tax. You received a discount of 40% off the original price. What is he original price?
Answer: Okay i think i got it: roughly $46.83
Step-by-step explanation:
Answer:
Its 50$ cause u gotta round up
Step-by-step explanation:
So basically just 31.68 times 5.6 as a decimal then do 60% because 100-40=60 and another step and you end up with 0.50 then jus times by 100
I need help with this question
Answer:
V would go to (6,-3), S (4,-2), T (4,2), U (6,6)
Step-by-step explanation:
move each point right 10 points, and down 2 points. :)
Circles.
Answer:
Step-by-step explanation:
b