Answer:
9.304
Step-by-step explanation:
company wishes to estimate the mean monthly electric bill. If the standard
deviation is $400, how large a sample is required to estimate the mean electric bill to within $100
with 98% confidence?
Sample size, n = (Zcritical * σ) ÷ ME
σ = standard deviation ;
ME ≥ margin of error
α = 98% ; At 98% confidence level ;Zcritical = 2.326
n ≥ (2.326 * 400) / 100
n ≥ 930.4 / 100
n ≥ 9.304
n = 10
The function f(x)=5x5−3x3+1 is/has
Answer:
15
Step-by-step explanation:
PEMDAS
so do multiplication first
25-9+1
then do addition
25-10
then do subtraction
so
15
The temperature at 6:00 P.M. in Frostfrozen, Antarctica was "37 °C.
If the temperature dropped 8.1 °during the next hour, what
was the temperature at 7:00 P.M.?
Answer:
37.0 Your answer is 28.9 Celsius
- 8.1
---------
28.9
Step-by-step explanation:
Fahrenheit:
90.5 Fahrenheit
Celsius:
23.7
Find the exact value of x.
Do the side lengths form a Pythagorean Triple?
Answer:
x=34
no
Step-by-step explanation:
a=16 b=30 c= x
16^2+30^2= c^2
256+900= c
c=√1156
√1156=34
A soccer dome shaped like a hemisphere has a volume of 450,000 m^3. What is the area of its field? Use 3.14 for pi
Answer:
Step-by-step explanation:
450,000=2/3(3.14)r
450,000 times 3/2=2/3(3.14)r times 3/2
675,000=3.14r
675,000/3.14=3.14r/3.14
about 214968.15287=r
So now we know r. We can use it to find the area of the circle
Pi times r squared
3.14 times 214968.15287 squared
area equals about 15573.44815
The area of the hemisphere is 45065.41
How to determine the area?The given parameters are:
Shape = Hemisphere
Volume = 450000
The volume is calculated as:
Volume = 2/3pi r^3
This gives
450,000=2/3 * 3.14 * r^3
Solve for r^3
r^3 = 450000 * 3/(2 * 3.14)
This gives
r^3 = 214968.152
Take the cube roots
r = 59.9
The area is then calculated as;
Area = 4pi r^2
This gives
Area = 4 * 3.14 * 59.9^2
Evaluate
Area = 45065.41
Hence, the area of the hemisphere is 45065.41
Read more about areas at:
https://brainly.com/question/24487155
Calculate the sum
32+(-40)
The dot plot shows the number of pencils each boy has at his desk in class.
:
++
1 2 3 4 5 6
Number of Pencils at Desk
Find the median for the number of pencils.
Answer:
The median is 2
Step-by-step explanation:
Here, we want to get the median for the number of pencils
Firstly, we have to write out the numbers that form the box plot ; we have this as;
1,1,1,2,2,2,2,3,3,5
the median is sum of the 5th and 6th term divided by 2
The 5th term is 2
The 6th term is 2
So the median is;
(2 + 2)/2
= 4/2 = 2
i need help please !!
Answer:
Step-by-step explanation:
Number of people 41 - 50 who read DIY books = 69
Total number of people = 750
% reading DIY = (69/750) * 100 = 9.2%
Can anyone help me pls? Ur a legend if u can!
At a middle school 82 students have freckles. There are 352 students at the school. To the nearest tenth of a percent what percent of students have freckles?
Answer:
23.3%
Step-by-step explanation:
divide
82/352
.2329
aka
23.29%
round
23.3%
What is 3 3/4 divided by 5/7?
Pls help me and thank you.
Answer:
21/4
Step-by-step explanation:
?????????????? So like anyone know this?
PLZZZ HELP!!! ILL GIVE BRAILIEST TO WHOEVER ANSWERS FIRST CORRECTLY!!
An amusement park charges $4.25 for admission, plus $1.50 for each ride ticket. Chase has $30 to spend on admission and ride tickets. What is the greatest number of ride tickets Chase can buy?
Answer:
17 tickets
Step-by-step explanation:
Find the absolute extrema of the given function: f(x)=x^4 − 3x^2 + 4, on the interval [−1,1]
Answer:
The absolute maximum is 4, and the absolute minimum is 2.
Step-by-step explanation:
We are given the function:
[tex]f(x)=x^4-3x^2+4[/tex]
And we want to find the absolute extrema of the function on the interval [-1, 1].
So, we will find the smallest and largest y-value within the interval. First, we can evaluate the function at its endpoints. So:
[tex]f(-1)=(-1)^4-3(-1)^2+4=2[/tex]
And:
[tex]f(1)=(1)^4-3(1)^2+4=2[/tex]
Our endpoints are (-1, 2) and (1, 2).
Recall that extrema only occurs at critical points. Critical points are where the derivative of the function equals 0. So, we can find the derivative of the function:
[tex]\displaystyle f'(x)=\frac{d}{dx}\left[x^4-3x^2+4\right][/tex]
Differentiate:
[tex]f'(x)=4x^3-6x[/tex]
Set the function equal to 0:
[tex]0=4x^3-6x[/tex]
Solve for x. Factor:
[tex]2x(2x^2-3)=0[/tex]
Zero Product Property:
[tex]2x=0\text{ or } 2x^2-3=0[/tex]
Solve for each case. Therefore:
[tex]\displaystyle x=0\text{ or } x=\pm\frac{\sqrt6}{2}[/tex]
The second case is outside of our interval. So we can ignore it.
Evaluate the function at x = 0:
[tex]f(0)=(0)^4-3(0)^2+4=4[/tex]
Therefore, for our function on the interval [-1, 1], the absolute maximum is 4, and the absolute minimum is 2.
What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.
Answer:
3
Step-by-step explanation:
We can find the slope of the given line in this two way:
1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3
2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x
3y = -x-15
y = -1/3x - 5
Also in this case we have -1/3
Two perpendicular lines have the the product of the their slope that is -1
So the slope that we are finding is 3
In fact = 3 x -1/3 = -1
What is the relationship between the side lengths of the white square and the side lengths of the triangles?
es -)
A)
Each side of the white square is congruent to shorter leg of a triangle.
B)
Each side of the white square is congruent to the longer leg of a triangle.
Each side of the white square is the hypotenuse of a triangle.
D)
Each side of the white square is congruent to both legs of the triangles.
Answer:
C) Each side of the white square is the hypotenuse of a triangle.
Step-by-step explanation:
It can be observed in the diagram that the sides of the white square forms part of the sides of the triangles. Since the triangles formed are right angled, then the longest side of the triangle is the sides of the white square.
Therefore it can be inferred that, each side of the white square is the hypotenuse of a triangle. thus the correct choice of answer is C.
What is the value of x?
Enter your answer in the box.
Use the Pythagorean theorem:
X = sqrt(10^2 - 6^2)
X = sqrt(100-36)
X = sqrt(64)
X = 8
Answer:
you can try nine but I am not really sure
Please help me quick
Answer:
c
Step-by-step explanation:
can i get brainlist because brainly deleted all my answers for no reason
Help pleaseeeeeeeeeeeeeeeeeeeeeeeee
Answer:
5x + 4 ≤ 15
Step-by-step explanation:
Since he has only $15, he cannot surpass this amount, BUT the items he purchase CAN equal the same amount so it'd look like this ≤ 15
$4 of jelly beans is a constant
$5 per pound is a variable : 5x
5x + 4 ≤ 15
2. Find the volume. *
10 16 8
Answer:
1280
Step-by-step explanation:
16 times 8(times 10)
A small box can hold 4 cans and a long box can hold 12 similar cans. How many cans will 15 large boxes hold than the same number of boxes.
Are 4 7/9 and repeating 4.7 are they equal?
Answer:
Step-by-step explanation:
These two expressions are definitely not equal.
4 7/9 is a repeating decimal: 4.77777 ... (use your calculator)
whereqs 4.7 is NOT a repeating decimal.
Find the distance between the points given.
(3, 4) and (4,7)
0 212
O 10
03
the distance between these two points is 3
GE = 3x - 11 FD = 2.x Find GE
Can someone help me??
Answer:
22
Step-by-step explanation:
Given the following
GE = 3x - 11 FD = 2x
Let us assume GE is parallel to FD, hence GE = FD
3x - 11 = 2x
3x - 2x = 0+11
x = 11
Get GE
GE = 3x - 11
GE = 3(11)-11
GE= 33 - 11
GE = 22
Hence the length of GE is 22
Find the circumference of a circle with a radius of 5 mm.
A 307 mm
B 57 mm
257 mm
107 mm
Answer:
31.42
Step-by-step explanation:
circumference of a circle= 2* [tex]\pi[/tex]* r
2* 22/7 * 5 = 31.42 (2 dp)
If each quadrilateral below is a square,find the missing measures
Answer:
SU = 15sqrt2
TV = 15sqrt2
SW =(15sqrt2)/2
Step-by-step explanation:
Divide 9 by 2 , then multiple p by the result
Answer:
9p/2 OR 4.5p
Step-by-step explanation:
9/2 ×p = 9p/2
9/2 =4.5×p
= 4.5p
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
p=9
Step-by-step explanation:
Which equation represents a linear function?
Answer:
C
............................
Will put brainliest? Plsssssssss help!
Answer:
C i think
Step-by-step explanation:
Answer:
14,13 ft^2
Step-by-step explanation:
First of all we have to find the radius, that is diameter/2
In this case: 6/2 = 3ft
the area of a circle is:
radius^2 x π
in this case = 3^2 x 3,14 = 28,26 ft^2
The shape is a semicircle so we have to divided the area by two
28,26 : 2 = 14,13 ft^2
If you are using a calculator to find the measure of an angle in degrees, what type of measure might make you question whether your calculator is in radian mode? Explain.
Answer:
you would do this measure hope this helps
Step-by-step explanation:
12. Determine the missing angle measures.
M<1
M<3
Answer:
3 is 15 degrees and 1 is 67 degrees