The National Sleep Foundation recommends that teenagers aged 14 to 17 years old get at least 8 hours of sleep
per night for proper health and wellness.
A statistics class at a large high school suspects that students at their school are getting less than 8 hours of
sleep on average. To test their theory, they randomly sample 42 of these students and ask them how many hours
of sleep they get per night. The mean from the sample is 2 = 7.5 hours.
Here's their alternative hypothesis:
H : The average amount of sleep students at their school get per night is...
What is an appropriate ending to their alternative hypothesis?
Answer:
Less than 8 hours
Step-by-step explanation:
Kahn
Find x and the measures of the indicated parts
Answer:
Your answer is A
Step-by-step explanation:
If you use substitution for 4x-8 then you get: 4(7)-8.
28-8 = 20
Solve the following system of equations by substitution method. x+2y=5 2x+y=4
Answer: x=1 and y=2
Step-by-step explanation:
\frac{-3y}{-3}=\frac{-6}{-3}
10-3y-10=4-10
2\left(5-2y\right)+y=4
Find the volume. Round to the nearest tenth if necessary?
answer:
v=1282.8 or 1282.82
step-by-step explanation:
v=πr²h/3
=π*7²*25/3
=1282.82
1282.82 (5 or more raise the floor 5 or less let it rest)
=1282.8
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Simplify the expression. Write your answer as a power. 96.90.9+ 97
Answer:
184.21
Step-by-step explanation:
can i have brainliest if im right hope it helped
If I have
1/4
of a tank of gas, what fraction represents the amount required to fill my tank the rest of the way?
Answer:
3/4
Step-by-step explanation:
If 1/4 of the tank is full, then 3/4 of the tank is empty.
If the value of a in the quadratic function f(x) = ax2 + b3 + cis , the function will:
open down and have a maximum
open down and have a minimum
open up and have a minimum
open up and have a maximum
If the value of a in the quadratic function f(x) = ax² + bx + c is 1/2, the function will: C. open up and have a minimum.
What is the general form of a quadratic function?In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;
y = ax² + bx + c
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.Since the leading coefficient (value of a) in the given quadratic function f(x) = ax² + bx + c is positive 1/2, we can logically deduce that the parabola would open upward. Also, the value of the quadratic function f(x) would be minimum.
Read more on quadratic functions here: brainly.com/question/29499209
#SPJ1
Complete Question:
If the value of a in the quadratic function f(x) = ax² + bx + c is 1/2, the function will:
open down and have a maximum
open down and have a minimum
open up and have a minimum
open up and have a maximum
help meh plzzzzzzzzzzzz
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
the lower quartile is always the first line in the box but the second line in general
the upper quartile is the 3rd line in the box or the 4th line in general
Suppose Y(t) = 25e^3t + 12 represents the number of bacteria present at time t minutes. At what time will the population reach 100 bacteria? ( Note: Answers are expressed in terms of natural logarithm
Given:
The given function is:
[tex]Y(t)=25e^{3t}+12[/tex]
Where Y represents the number of bacteria present at time t minutes.
To find:
The time taken by bacteria population to reach 100 bacteria.
Solution:
We have,
[tex]Y(t)=25e^{3t}+12[/tex]
Putting [tex]Y(t)=100[/tex], we get
[tex]100=25e^{3t}+12[/tex]
[tex]100-12=25e^{3t}[/tex]
[tex]88=25e^{3t}[/tex]
Divide both sides by 25.
[tex]\dfrac{88}{25}=e^{3t}[/tex]
Taking ln on both sides, we get
[tex]\ln (\dfrac{88}{25})=\ln e^{3t}[/tex]
[tex]\ln(\dfrac{88}{25})=3t[/tex] [tex][\because \ln e^x=x][/tex]
Divide both sides by 3.
[tex]\dfrac{1}{3}\ln(\dfrac{88}{25})=t[/tex]
Therefore, the required time is [tex]\dfrac{1}{3}\ln(\dfrac{88}{25})[/tex] minutes.
the selling price of an item is $480. After 6 months of not selling, it is marked down by 30% After another 6 months of not selling, it is further marked down by 20%. Find the sale price after both markdowns
Answer:
1st markdown 480-30% = $336
2nd markdown 336-20% = $268.8
Step-by-step explanation:
Ariel receives $48 for working a full day doing inventory at a hardware store. How much can she get for working 4/8
of a day?
Answer:
24 dollars its easyyyyyyyyyyyy
Step-by-step explanation:
what if its "greater than 9"
Answer:
its gotaa be a number thats atleast 10
Step-by-step explanation:
Answer: #’s 10 or above will work
Find the area of this figure.
Answer:
pretty sure it's 360 :)
Step-by-step explanation:
...
Area = ( 1/2 × 4 × 3 ) + ( 1/2 × 5 × 6 )
Area = 6 + 15
Area = 21 ft^2
Someone help I really need help
Answer:
D
Step-by-step explanation:
its D because its saying what is greater or equal to 8 so the arrow is pointing to what larger and the it isn't negative 8 so it wouldn't pass the 0 so it would be D
Answer:
A. x[tex]\leq[/tex] -3
Step-by-step explanation:
Help me please , help me please
Find x in the given quadrilateral.
X
120°
80°
60°
CHOICESa. 100°
b. 120°
c. 150°
d. 180°
ANSWER:[tex]\boxed{\sf A.100} [/tex]
Solution:[tex]\begin{gathered}\rightarrow\boxed{\sf 120+80+60+x=360 } \\ \rightarrow\boxed{\sf x=360-260 } \\ \rightarrow\boxed{\sf x=\blue1\blue0\blue0 }\end{gathered} [/tex]
To find x in quadrilaterals, Firstly let's say the given quadrilaterals, So the result is 360, then subtract it by 260 maybe when you say 3 numbers it the result is 260.Therefore the answer is 100
#CarryOnLearning
Answer: A 100
Step-by-step explanation:
120+80+60+x=360
x=360-260
x=100
Antoine watches a movie that is 1 hour and 45 minutes long. Which number line
could show when Antoine watches the movie?
Answer:
I am pretty sure It is the top right corner
The ratio of of distance between two places A and B and B to C is 4:5. If the distance between A to C is 72 km, find the distance between A to B.
A fifteen-passenger van is rented for a family vacation. The van rental is $60 per day,
plus a $145 insurance fee. How many days can the van be rented if they want to spend no
more than $625 on the rental? Write and solve an inequality, let “d” represent days.
Answer:
3d
Step-by-step explanation:
$60 + $145 = $205
$205 x 3 = $615
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. Please don't give me the wrong answers :(
Answer:
MN= 17.9in
ST= 3.8cm
CE= 13.0yd
Step-by-step explanation:
Find the exact value of tan 75 degrees.
Answer:
3.73205080757 or 3.7
Step-by-step explanation:
Answer:
2+√3 or 3.73
Please mark brainliest
21. Find the volume of the figure below.
26.5 yd
A. 2,557.51 yd
B. 2,383.79 yd3
C. 2,109.25 yd
D. 2,792.39 yd
9.6 yd
Answer:
b 2,557.51
Step-by-step explanation:
Explain why 4 x 3/5 =(4 x 3) 5 = 12/5
Answer:
---
Step-by-step explanation:
4x3=12 and originally, (4x3) is dividing by 5. So 12/5 makes sense.
---
hope it helps
Pls help I need a good grade
Answer:
A) 6.25x+7.50=26.25
Step-by-step explanation:
To find how much she payed for every round she played (woah that rhymed) you multiply 6.25 by the amount of rounds she played, which is x.
That's where we get 6.25x
7.50 is the base cost, so she will pay that much regardless of how much she played.
26.25 is the total amount of money spent. The admition cost and how much she spent on playing ads up to her total cost
Help please !!! Need help
Answer:
234
Step-by-step explanation:
From the given information :
The 4th term, a4
a1 = 3
a2 = 4(a1) + 2
a2 = 4(3) + 2 = 14
a3 = 4(a2) + 2
a3 = 4(14) + 2
a3 = 58
a4 = 4a3 + 2
a4 = 4(58) + 2
a4 = 232 + 2
a4 = 234
One hexagonal prism has dimensions that are triple the dimensions of a similar hexagonal prism. If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?
4.75 cm3
14.25 cm3
42.75 cm3
128.25 cm3
Answer:
128.25 cm³
Step-by-step explanation:
Volume of an hexagonal prism:
The volume of an hexagonal prism is given by:
[tex]V = \frac{3\sqrt{3} a^2h}{2}[/tex]
In which a and h are the dimensions.
Triple the dimensions
This means that the volume will be multiplied by 3^3, 27(as there are 3 terms which are dependent of the dimensions, a² and h).
If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?
27*4.75 = 128.25 cm³
128.25 cm³ is the answer
Answer:
128.25 cm3
Step-by-step explanation:
Why might a bank offer a loan to a customer at a low initial rate that will increase after a set period of time? O To guarantee lower payments for first-time applicants O To make the loan look more attractive and competitive in the long run O To make the loan look more attractive and competitive now O To accept less money in the later years of the loam
To make the loan look more attractive & competitive NOW
The is picture is the question
Answer:
33
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
according to PEMDAS, you would solve for the 3^3 first, which is 27. Then you would divide 14 by 7 which is 2. The laws of PEMDAS says you have to multiply before you add, so you multiply 2 by 3 which is 6. 27 + 6 equals 33.
Solution:
2. The half-life of BRADIUM-29 is 15 years. If you have 8 ounces of this strange substance today, how much will you
have left after 35 years?
题
SKU
Answer:
You will have 1.585 left after 35 years.
Step-by-step explanation:
Equation for amount of a substance:
The equation for the amount of a substance, using exponential decay, is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
The half-life of BRADIUM-29 is 15 years.
This means that [tex]A(15) = 0.5A(0)[/tex]. We use this to find r.
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]0.5A(0) = A(0)(1 - r)^{15}[/tex]
[tex](1 - r)^{15} = 0.5[/tex]
[tex]\sqrt[15]{(1 - r)^{15}} = \sqrt[15]{0.5}[/tex]
[tex]1 - r = (0.5)^{\frac{1}{15}}[/tex]
[tex]1 - r = 0.9548[/tex]
Then
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = A(0)(0.9548)^t[/tex]
You have 8 ounces of this strange substance today
This means that [tex]A(0) = 8[/tex]. So
[tex]A(t) = A(0)(0.9548)^t[/tex]
[tex]A(t) = 8(0.9548)^t[/tex]
How much will you have left after 35 years?
This is A(35). So
[tex]A(t) = 8(0.9548)^t[/tex]
[tex]A(35) = 8(0.9548)^{35} = 1.585[/tex]
You will have 1.585 left after 35 years.
Josie is creating 5 music playlists for her dance classes. She will use a total of 60 songs. Each playlist will have 7 older songs and the same number of newer songs.
Part A
Create an equation that can be used to determine the number of newer songs, n, Josie will have on each playlist.
Answer: pls answer
Step-by-step explanation:
Answer:60 divided by 7 =8.5
1.) The tires on our RV have a radius of 14 inches. About how many inches does the RV travel with each rotation of the tire?
2.) About how many feet does the RV travel in one tire rotation?
3.) Today, we’re heading 70 miles south from Huntsville. Where are we going?
Answer:
Ana i know this doesnt help with your question but its me caden I missed you so much
Step-by-step explanation: