The volume of the igloo given its dimensions to the nearest tenth is 134.10 m³.
What is the volume of the igloo?An hemiphere is the half of a sphere. A sphere is the 3-dimensional equivalent of a ciricle.
Volume of a hemisphere = (2/3) x (π) x (r³)
π= 22/7r = radius2/3 x 4³ x 22/7 = 134.10 m³
To learn more about the volume of a hemisphere, please check: https://brainly.com/question/268403
Answer:
Step-by-step explanation:
\text{Volume of hemisphere}=
Volume of hemisphere=
\,\,\frac{1}{2}\cdot \frac{4}{3}\pi r^3
2
1
⋅
3
4
πr
3
hemisphere = half of a sphere
=
=
\,\,\frac{2}{3}\pi r^3
3
2
πr
3
Simplify by multiplying
=
=
\,\,\frac{2}{3}\cdot \pi \cdot (6.4)^3
3
2
⋅π⋅(6.4)
3
Substitute
=
=
\,\,549.033109...
549.033109...
Evaluate in calculator
\approx
≈
\,\,549.0\text{ m}^3
549.0 m
3
In a closely contested school bond election, polling indicates that 50% of voters are in favor of the bond. Assume central limit theorem conditions apply. Suppose a random sample of 80 voters is selected
The central limit theorem is used to consider sample sizes of at least 30
The mean of the distribution is 40, and the standard deviation is 4.47
How to determine the meanThe given parameters as:
p =50% --- the proportion
n = 80 --- the sample size
The mean is then calculated as:
[tex]\bar x =np[/tex]
So, we have:
[tex]\bar x =80 * 50\%[/tex]
[tex]\bar x =40[/tex]
How to determine the standard deviationThe standard deviation is calculated as:
[tex]\sigma = \sqrt{np(1 -p)[/tex]
So, we have:
[tex]\sigma = \sqrt{80 *50\% * (1 - 50\%)[/tex]
Evaluate the root
[tex]\sigma = 4.47[/tex]
Hence, the mean of the distribution is 40, and the standard deviation is 4.47
Read more about the central limit theorem at:
https://brainly.com/question/17186021
circumference of a clock with the radius of 16 centimeters?
Answer:
100.5309649cm
Step-by-step explanation:
The formula for the circumference of a circle is:
2πr
if the radius is 16cm, we just need to substitute 16 for r:
2π(16)
= 32π
= 100.5309649cm
You can round this however you like, however I would recommend doing either 3 significant figures either 2 or 3 decimals places :)
Find the slope of the line graphed
Answer:
1. 5/-2
2. 0/1
3. 6/2
Step-by-step explanation:
rise/run when calculating slope
The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call in and get answers to questions as they prepare their tax returns. In recent years, the IRS has been inundated with taxpayer calls and has redesigned its phone service as well as posting answers to frequently asked questions on its website (The Cincinnati Enquirer, January 7, 2010). According to a report by a taxpayer advocate, callers using the new system can expect to wait on hold for an unreasonably long time of 15 minutes before being able to talk to an IRS employee. Suppose you select a sample of 50 callers after the new phone service has been implemented; the sample results show a mean waiting time of 13 minutes before an IRS employee comes on line. Based upon data from past years, you decide it is reasonable to assume that the standard deviation of waiting times is 11 minutes. Use α=0.05
Required:
a. State the hypotheses.
b. What is the p-value?
c. Using α=0.05, can you conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
Answer:
a)Null hypothesis : [tex]H_0:\mu \geq 15[/tex]
Alternate hypothesis : [tex]H_a:\mu < 15[/tex]
b)p value = 0.1003
c)We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
Step-by-step explanation:
Null hypothesis : [tex]H_0:\mu \geq 15[/tex]
Alternate hypothesis : [tex]H_a:\mu < 15[/tex]
[tex]\mu = 15\\\bar{x}=13\\\sigma = 11\\n = 50[/tex]
Sample size is more than 30 . So, we will use Z test
[tex]Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\Z=\frac{13-15}{\frac{11}{\sqrt{50}}}\\Z=-1.285[/tex]
Use z table to find p value
p value = 0.1003
α=0.05
p value< α
So, we reject null hypothesis
Hence We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
Suppose f(x) is a function such that if p
O f(x) can be odd or even.
O f(x) can be odd but cannot be even.
O f(x) can be even but cannot be odd.
O f(x) cannot be odd or even.
The value of 8 in 5.18 of the value of 8 in 5.81
Answer:
the value of 8 in the first one is 8
in the second one is 80
evaluate ghjk if g=-4,h=-2,j=-6,and k =5
Answer:
GHJK=-240
Step-by-step explanation:
G=-4
H=-2
J=-6
K=5
[tex]-4*-2*-6*5=-240[/tex]
GHJK=-240
I think this is how you do it????
Answer:
-240
Step-by-step explanation:
Given;
evaluate ghjk if g=-4,h=-2,j=-6,and k =5
Substitute:
GHJK ⇒ (-4)(-2)(-6)(5)
(-4)(-2)(-6)(5)
(8)(-6)(5)
-48(5)
-240
~Learn with Lenvy~
Suppose that 12 inches of wire costs 36 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?
can i please get some help!!
Answer:
3 cis(43)
Step-by-step explanation:
When we divide number in polar form, we divide the modulus, and subtract the degrees.
36/12=3
45-2=43
3 cis(43)
Fill in the table using this function rule. IM GIVING EXTRA POINTS AND BRAINLIEST!!
Answer:
3 - 10
4 - 7
5 - 4
6 - 1
Writing Linear Equations
Answer:
1. y=-3x+7
2. y=3/4x+10
3. y=-5x-2
4. y=12x-6
5. y=1/2x+9
Step-by-step explanation:
for numbers 2, 4, 3, and 5 all you have to do is look at the slope they give you. in a linear equation (y=mx+b) the m is the slope. because there is only one equation with the slope they give you, that is the corresponding answer. but for 1, its a bit more complicated. because they give you a point you have to plug the x value into your equation. for exaple for 1. they give you 0 as the x value so you plug it into one of the equations. and if that equation gives you 7 as the y, then you have your answer.
how to write a sine function that has an amplitude of 5 a midline of 4 and a period of 2/7
Answer:
sin(kx) has period 2π/k so, you want 2 + 5sin(16π/7 x)
Step-by-step explanation:
PLEASE HELP ME ASAP!!!!
Answer:
368 cm²
Step-by-step explanation:
Bottom: 12 * 10 = 120 cm²
Front and back (square): 2 * (10 * 10) = 200 cm²
Front and back (triangle): 12*8/2 = 48 cm²
Total = 120 + 200 + 48 = 368 cm²
[tex]\sqrt{-(-9)^2}[/tex]
The set of all numbers less than or equal to -1.
Answer:
anything before -1 is lower than -1. -1 = -1
Step-by-step explanation:
-10, -9, -8, -7, -6, -5, -4, -3, -2 etc. are in a sense before -1 on a time line and they are all less than -1
Set B represents the set of all the natural numbers less than or equal to -1
[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]
if we include all the numbers the range of set includes every number from
[tex]\rm -\infty \; to -1[/tex] so the set is represented by K
[tex]\rm K = \{ -\infty ,.....-1\}[/tex]
In Mathematics a set is a collection of objects/elements that are constrained by some particular condition.
Let us consider a situation where "S" is the set and the elements are represented by "x"
A set is always denoted in curly braces. Expression (1) represents the set
[tex]\rm S =[/tex] { [tex]\rm x_1.x_2,x_3, x_4,x_5........x_n[/tex]}...........(1)
Set S has elements that are represented as [tex]\rm x_1[/tex][tex]\rm\\where \; i \; represents\; the\; index\; of \; the \; element\\n = number\; of \; elements \; in \; the \; set \; x[/tex]
The set of all the natural numbers less than or equal to -1 is the set of all the negative integers including -1.
So let us say B represents the set of all the natural numbers less than or equal to -1 . Then we can write it as follows
[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]
Set B represents the set of all the natural numbers less than or equal to -1
if we include all the numbers the range of set includes every number from
[tex]\rm -\infty \; to -1[/tex] so the set becomes
[tex]\rm K = \{ -\infty ,.....-1\}[/tex]
For more information please refer to the link below
https://brainly.com/question/4801204
A trend line passes through the points (-4, 9) and (1, -1). What is the equation of the trend line?
Answer:
✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️
(1.8 dollars)/(1 euro) = (x dollars)/(200 euros)
Answer:
300 dollars
Step-by-step explanation:
$1.8=£1/x dollars=£200
cross multiplying
x=200×1.8
x=$360
Answer:
218.26
Step-by-step explanation:
1 [tex]\frac{913}{10000}[/tex] USD = 1 EURO.
I calculated it on E to USD calculator.
You borrow $1400 from a friend and promise to pay back
$2000 in two years. What simple interest rate, to the nearest
tenth of a percent, will you pay?
Answer:
21.4%
Step-by-step explanation:
You would pay back a 21.4%
The simple interest rate on the loan of $1400 is approximately 21.4% per year.
What is the simple interest rate of the loan?The simple interest can be expressed as:
A = P( 1 + rt )
Where A is accrued amount, P is the principal, r is the interest rate and t is time.
Given the parameter:
Principal P = $1400
Accrued amount A = $2000
Time t = 2 years
Interest rate r =?
Plug these values into the above formula and solve for the interest rate.
A = P( 1 + rt )
[tex]r = \frac{1}{t} * ( \frac{A}{P} - 1 ) \\\\r = \frac{1}{2} * ( \frac{2000}{1400} - 1 ) \\\\r = \frac{1}{2} * ( \frac{2000}{1400} - 1 ) \\\\r = 0.21428[/tex]
Convert r decimal to R a percentage
R = 0.214 × 100
R = 21.4% per year
Therefore, the rate is approximately 21.4% per year.
Learn more about simple interest here: brainly.com/question/25845758
#SPJ2
9. Every school day, Lucas bikes to school, 12 miles away at 8 miles per hour. Today, Lucas was thinking about planning his sister’s party in the evening, and, distracted, travelled the first four mile at only 6 miles per hour. At what speed must he travel the last eight miles to reach school in time?
Answer:
Step-by-step explanation:
The question may be answered easily by first determining how far we would ride the bike in 1 hour. Riding the bike 12 mph (miles per hour) for one hour, we would ride the bike 12 miles.
Since 20 minutes is 1/3 of a hour, divide 12 by 3 to find out how far the biker traveled in 1/3 of the time:4 miles. that is the answer and the steps!!
what are the equivalent fractions of 4/7 and 3/5
Answer:
3/5= 6/10, 9/15, 12/20, 15/25, 18/30
4/7
= 8/14, 12/21, 16/28, 20/35, 24/42
Step-by-step explanation:
mark me brainliest!!
Hey there!
Remember, equivalent means equal.
So we need to find some fractions that are equal to 4/7 and 3/5.
We can easily do that.
First, let's take 4/7.
Let's multiply the top & bottom by 2:
8/14
4/7 and 8/14 are equivalent.
Let's multiply the top & bottom by 2:
16/28
We can keep multiplying...
Also, there's no reason why we cannot multiply by 3, 4, 5, 6, 7, 8...
In other words, there are infinitely many fractions equivalent to 4/7.
Same with 3/5:
6/10, 12/20...
Hope everything is clear.
Let me know if you have any questions; if so, please ask.
#LearningDoesn'tEnd
[tex]\rule{200}{2}[/tex]
help i dont get it. please put answer with an explanation
Answer:
photo looks blank
Step-by-step explanation:
......
Select the correct answer.
Which number line shows the solution to this compound inequality?
0<2x + 6 < 16
OA. HE
-10 -8
-6 -4 -2 0 2 4
6
8
10 12 14
B. +++
- 10 -8
-6 -4
-2
0
2
4
6
8
10 12 14
Oc. + +
-10 -8
++
10 12 14
-6 -4 -2
0
2
4
6
8
OD.
httot
-10 -8 -6 -4 -2 0
2
4
6
8
10 12 14
Answer:
C.
Step-by-step explanation:
pa brnlst hehehheeh
thx m ltr
Which is a tangent of circle P?pls helpt ASAP!!!!
Explanation:
Tangent lines touch the circle at exactly one point.
Which is the following is equivalent to sin 35 ?
Answers A-D
A
COS 35
B COS 55
Csin 55
Dtan 35
Answer:
1
Step-by-step explanation:
=sin 55 cos 35 + cos 55 sin 35 =sin (55+35)=sin 90=1
what is the value of 27-2m, when m=3
Answer:
21
Step-by-step explanation:
27 - 2m = 27 - (2 x 3) then 27 - 6 is 21, so your answer should be 21.
WILL GIVE BRAINLIEST WILL GIVE BRAINLIEST
Answer:
9
Step-by-step explanation:
The correct answer would be 9
Evaluate the integral of
X-1/ (x+1) (x^3 + x^2 + x )^0.5
:)
Kylie just accepted a job at a new company where she will make an annual salary of
$43000. Kylie was told that for each year she stays with the company, she will be
given a salary raise of $5000. How much would Kylie make as a salary after 6 years
working for the company? What would be her salary after t years?
Salary after 6 years:
Salary after t years:
Answer:
$73,000
$43,000 + $5,000 x t
Step-by-step explanation:
Every year increase $5,000, after 6 years increase $5000 x 6 = $30,000
Her salary will be $43,000 + $30,000 = $73,000
After t years, her salary will be
$43,000 + $5,000 x t
What is the sum of the 12th square number and the 3rd cube number?
Answer:
171
Step-by-step explanation:
Your calculator can help you find the sum ...
12² +3³ = 144 +27 = 171
please helpppp meeeee
Answer:
c.
Step-by-step explanation: