Answer:
0.125
Explanation:
0.5 x 0.5 x 0.5 = 0.125
2.45 divided by 0.17 =
Its not 14.41176470588235
Answer:
0.06938775
Step-by-step explanation:
This is the correct answer.
A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours. What is the 90% confidence interval for the difference in mean hours of sleep for students at the two high schools
Answer:
The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"
Step-by-step explanation:
Given values:
[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]
Using formula:
[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]
Put the values in the above formula:
[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]
Add 8/9+4/9 and Simplify the answer and write as a mixed number.
Answer:
1 1/3
Step-by-step explanation:
Answer:
12/9= 1 and 1/3
Step-by-step explanation:
In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?
Answer:
12
Step-by-step explanation:
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel? 4π 8π
Answer:
[tex]v=\dfrac{\pi}{2}\ ft/s[/tex]
Step-by-step explanation:
Given that,
A wheel with radius 1 foot makes 1 revolution in 4 seconds
We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :
[tex]v=r\omega[/tex]
Where
[tex]\omega[/tex] is angular velcocity,[tex]\omega=2\pi\ rad[/tex]
[tex]\omega=\dfrac{1}{4}\times 2\pi\\\\=0.5\pi\ rad/s[/tex]
So
[tex]v=1\times 0.5\pi\\\\v=\dfrac{\pi}{2}\ ft/s[/tex]
So, the linear velocity of the wheel is equal to [tex]\dfrac{\pi}{2}\ ft/s[/tex].
Answer:
pi/2
B
Step-by-step explanation:
Got it right on EG
If 20% of a number is 12, then what is 30% of the same number
Answer:
18
Step-by-step explanation:
0.2x = 12
Same as: 1/5x = 12
Multiply both sides by 5
x = 60
0.3 * 60 = 18
Which ordered pair is a solution to the system
Answer:
I think it might be this one(-2,0)
Given the following data, find the weight that represents the 28 percentile
Answer:
so I just tried to find the mean (average) and it was: 6.3
find he prodct
4(-2)
Answer:
-8
Step-by-step explanation:
four times two equals eight, positive times negative equals negative, so -8
Answer:
-8
Step-by-step explanation:
4(-2)=4×(-2)=-8 I Know The Answer Is Correct I Am Sure.
The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported
goods from the United States, where x is the number of years since 1990.
Which statements are correct?
A) g(x) appears to be a linear function
B) f(x) appears to be an exponential function
C)Exports increase more quickly around the year 2041
D) Exports eventually exceed imports from the united States
E) A quantity increasing exponentially eventually exceeds a quantity
increasing linearly
Answer:
C, D, E
Step-by-step explanation:
I did the USATESTPREP
A box is being packed with cubes that measure 1 cubic foot. What is the volume of the box in cubic feet
Answer:
81 cubic foot
Step-by-step explanation:
It is given that the box is packed with cubes whose side is 1 foot. So the volume of one cube is 1 cubic foot.
Now from the figure, we can see that :
Number of cubes fitting the box across its length = 9 cubes
Number of cubes fitting the box across its width = 3 cubes
Number of cubes fitting the box across its height = 3 cubes
And each of these cubes measures 1 x 1 x 1 cubic foot
So the volume of the box can be found out by:
Volume = length x width x height
= 9 x 3 x 3
= 81 cubic foot
Therefore volume of the box is 81 cubic foot.
Bob has $2,500 in a savings account that earns 3 % annually. How much will he earn in interest in 1 year?
Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.
Answer:
the answer is 2575 I believe
Step-by-step explanation:
(2500x3x1/100)
(2500+75)
Elvin has three sails of different sizes for his model ships. Which of the sails are congruent, and which are similar?
45°
15 in.
3x in.
9 in.
- 10x)
5 in 4593 in.
Fly - 10x)"
EK IF
z in.
255
55°
BK
A 80
R
OR
4 in.
4 in.
Sail 1
Sail 11
Sail III
Similar means angles are the same
Congruent means angles and sides are the same.
Sail 1 and sail 2 have the same angles but the sides are not the same.
So sail 1 and sail 2 are similar.
What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
because it has two parallel side and and other are just lines but being quadrilateral its sum is 360
boht agyi yaade
hmm
:)
I need help on number 26
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
-5x+5y=10
3x-3y= -10
Answer:
ummmm math?
Step-by-step explanation:
What is the volume of the figure?
Answer:
12.57
Step-by-step explanation:
same as last time you know
What is 125% of 144?
Answer:
180
hope this helps :)
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4y - 2(5 - y + 4) = 4y - 2(9 - y)
= 4y + 9*(-2) - y *(-2)
= 4y - 18 + 2y {Combine like terms 4y and 2y}
= 6y - 18
6y - 18 = 6*y - 6*3
= 6(y - 3)
6y- 18 = 2 *3y - 2*9
= 2(3y -9)
2(3y - 9) and 6(y- 3 ) are equivalent to 4y - 2(5- y +4)
Others are not equivalent
An aircraft seam requires 29 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 23% of all seams need reworking, what is the probability that a rivet is defective
Answer:
0.9995 = 99.95% probability that a rivet is defective
Step-by-step explanation:
For each rivet, there is only two possible outcomes. Either they are defective, or they are not. Rivets are defective independently of one another, each with the same probability, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An aircraft seam requires 29 rivets.
This means that [tex]n = 29[/tex]
23% of all seams need reworking
This means that [tex]p = 0.23[/tex]
What is the probability that a rivet is defective?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{29,0}.(0.23)^{0}.(0.77)^{29} = 0.0005[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0005 = 0.9995[/tex]
0.9995 = 99.95% probability that a rivet is defective
Find the measurement indicated. Round to the nearest tenth.
9514 1404 393
Answer:
22.015.030.0°137.0°Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
__
1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
__
2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
__
3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
__
4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°
Try Again
The price of an item has been reduced by 70%. The original price was $49.
Use the ALEKS calculator to find the price of the item now.
s
Answer:
$34.30
Step-by-step explanation:
Use the equation:
F=P(r)
F=final price
P=principal (starting) amount
r=rate, normally a percent and has to be converted to a decimal
**Since this problem asks us to go down, there is no 1+r. That's when it gives us the final price and asks us to find the original.
Plug in the values: F = 49(.7)
F=$34.30 (don't forget the $ sign)
Logan purchased 20 stamps at the post office for $8.40. What is the cost of one stamp?
Answer:
.42
Step-by-step explanation:
Step-by-step explanation:
Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.
Use GCF and the distributive property to write equivalent
expressions.
A) 6x + 9y
B)3c +11c
Answer:
Step-by-step explanation:
Greatest common factor of 6x and 9y is 3.
6x + 9y = 3(2x + 3y)
:::::
Greatest common factor of 3c and 11c is c.
3c + 11c = (3+11)c
Arnold's entire workout consisted of 10 minutes of warm up exercise, 25 minutes of lifting weights, and 15 minutes on the treadmill. What was the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout?
Add all the times together:
10 + 25 + 15 = 50 minutes total.
For the ratio divide the time for weights by total time:
25/50 which reduces to 1/2
The ratio is 1/2
Answer:
15:50 = 3:10
3:10 is the answer
In the year 2003, a person bought a new car for $18500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2005, to the nearest hundred dollars?
Answer:
Step-by-step explanation:
t is the number of years since 2003.
f(t) = $18,500×0.88^t
t = 2 in 2005
f(2) = $18,500×0.88²≅ $14,300
Answer:
$14300.00
Step-by-step explanation:
100 - 12 = 88%
88% = 0.88
$18500 x 0.88² = $14326.40
To the nearest hundread:
$14326.40 = $14300.00
0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.
Hope this helps!
Solve the following percentage problem 85%of 40
Answer:34
85% of 40 = 34
Step-by-step explanation:85 percent of 40? = 34.
Answer:
34
Step-by-step explanation:
After painting 3/8 of a fence he finds that he has painted 15 feet
Answer: I'm assuming you want to know how much surface area his fence is, so 40
Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.
Hope this helps :)
Answer:
ok whats the question tho is it the total length of the fence if it is its 40 pretty sure
Step-by-step explanation:
3/8 of the fence lets say x, equals 15 feet
divide 15 by 3/8 to find x which is 40
Simplify. 6 to the power of 2+3 to the power of 2.
Thanks!
Answer:
45
Step-by-step explanation:
6 to the power of 2 + 3 to the power of 2
6² + 3²
(6 × 6) + (3 × 3)
36 + 9
45
