Answer:
12 is the best estimate
Step-by-step explanation:
The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)
Answer:
(6.2, 8.8).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5 hours
Standard deviation = 1.3 hours
About 68% ...
By the Empirical Rule, within 1 standard deviation of the mean.
7.5 - 1.3 = 6.2
7.5 + 1.3 = 8.8
So in the format requested
(6.2, 8.8).
A bottle of has a capacity of 0.43 L. How many milliliters of shampoo does the bottle contain (1 L = 1000 mL
Answer:
1 = 1000
0.43 L = _________ mL
0.43 * 1000 = 430 mL
430 mL is the answer.
Hope this helps
Which of the following is a ray as shown in the drawing?
Answer:
DH
Step-by-step explanation:
this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.
A rectangular poster has a length of 24 inches , and it’s width is 12 inches. What is the perimeter of the poster.
Answer:
(24 + 12) x 2 = 72 inches
A flagpole casts a shadow that is 21m long when the angle between the suns ray and the ground is 48. Determine the height of the flagpole to the nearest metre
Answer:
23 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between angle functions and side measures in a right triangle. The geometry of this problem can be modeled as a right triangle with one leg (h) equal to the height of the pole, and one leg (21 m) that is the shadow length on the ground. The angle of the sun's rays is the angle opposite the h leg, so we can use ...
Tan = Opposite/Adjacent
tan(48°) = h/(21 m)
h = (21 m)tan(48°) ≈ 23.32 m
The height of the flagpole is about 23 meters.
Fifty volunteers were randomly placed into two groups. The first group was given a new hair growth treatment and the other group was given a placebo treatment. This is an example of
Answer:
Placebo controlled experiment.
Step-by-step explanation:
The placebo effect is when the effectiveness of a treatment is influenced by the patient’s perception of how effective they think the treatment will be, so a result might be seen even if the treatment is ineffectual. In order to reduce this effect, a dummy treatment (placebo) is given to a control group and the result is compared.
Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm.
Answer:1017.36 cm^3
Step-by-step explanation:
Diameter=18cm
Radius=r=18/2=9cm
Height=h=12cm
Volume of cone=1/3 x π x r^2 x h
Volume of cone=1/3 x 3.14 x 9^2 x 12
Volume of cone=1/3 3.14 x 9 x 9 x 12
Volume =(1x3.14x9x9x12) ➗ 3
Volume =3052.08 ➗ 3
Volume =1017.36
Volume of cone=1017.36 cm^3
If AB = 10, what is the length of DE?
11
5
12
3
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
(7 points) Briefly explain what perfect multicollinearity is and how it relates to what is often called the "dummy variable trap". This is where if you have multiple binary regressors (variables that are either 0 or 1) to represent a series of groups, you have to leave the variable that represents one of the groups out of the regression.
Find the given attachments
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
1. Understand your problem
2. Gather your resources
3. Come to an answer
4. Check your answer and present the solution
Step-by-step explanation:
Evaluate 12 ➗(0.9 -0.04
Answer:
13.9534883721
Step-by-step explanation:
12/(0.9-0.04)=12/0.86=13.9534883721
express z = square root (4 + 3i) in the form p + qi , where p and q and are rational numbers.
Answer:
z = (3/√2) + (1/√2)î = (1/√2) [3 + i] = (2.1213 + 0.7071i)
OR
z = -(3/√2) + i(1/√2) = (1/√2) [-3 + i] = (-2.1213 + 0.7071i)
p = (3/√2) = 2.1213
q = (1/√2) = 0.7071
OR
p = (-3/√2) = -2.1213
q = (1/√2) = 0.7071
Step-by-step explanation:
z = √(4 + 3i)
Let the complex number z be equal to
z = p + qi
So, we can write
z = p + qi = √(4 + 3i)
p + qi = √(4 + 3i)
Square both sides
(p + qi)² = [√(4 + 3i)]²
p² + pqi + pqi + (qi)² = (4 + 3i)
p² + 2pqi + q²i² = 4 + 3i
note that i² = -1
p² + 2pqi - q² = 4 + 3i
(p² - q²) + 2pqi = 4 + 3i
Comparing both sides, and them equating the real parts on both sides to each other and the complex parts to each other
(p² - q²) = 4 (eqn 1)
2pq = 3 (eqn 2)
From eqn 2
p = (3/2q)
p² = (9/4q²)
Substituting this into eqn 1
(9/4q²) - q² = 4
multiplying through by 4q²
9 - 4q⁴ = 16q²
4q⁴ + 16q² - 9 = 0
let q² = x, q⁴ = x²
4x² + 16x - 9 = 0
Solving the quadratic equation
x = 0.5 or -4.5
q² = 4
q² = 0.5 or q² = -4.5
q = √0.5 or √-4.5
q = (1/√2) = (√2)/2 = 0.7071
Or q = i(3/√2) = i(3√2)/2 = 2.1213I
p = (3/2q)
If q = (1/√2) = (√2)/2 = 0.7071
p = (3/√2) = (3√2)/2 = 2.1213
if q = i(3/√2) = i(3√2)/2 = 2.1213I
p = i(1/√2) = i(√2)/2 = 0.7071i
z = p + qi
If q = (1/√2) = (√2)/2 = 0.7071
p = (3/√2) = (3√2)/2 = 2.1213
z = (3/√2) + (1/√2)î = (1/√2) [3 + i]
= 2.1213 + 0.7071i
if q = i(3/√2) = i(3√2)/2 = 2.1213I
p = i(1/√2) = i(√2)/2 = 0.7071i
z = i(1/√2) + [i(3/√2) × i]
z = i(1/√2) - (3/√2)
z = -(3/√2) + i(1/√2)
z = (1/√2) [-3 + i]
z = -2.1213 + 0.7071i
Hope this Helps!!!
Compute the sum of the first 8 terms in the sequence: 100, -50, 25, -12,5. Show work!
Answer:
100, -50, 25, -12.5, 6.25, -3.125, 1.5625, -0.78125Step-by-step explanation:
Each term is being multiplied by -0.5
How did I know?
Divide the second term by the first.
-50 divided by 100 = -1/2
Find the last four terms.
-12.5 x -1/2 = 6.25
6.25 x -1/2 = -3.125
-3.125 x -1/2 = 1.5625
1.5625 x -1/2 = -0.78125
50 POINTS!!!!!!! WILL MARK BRAINLIEST! NO COPY/PASTE! TWO TO THREE SENTENCES AND EXPLAIN! WILL REPORT STUPID ANSWERS! According to Nikita Khrushchev, Premier of the Soviet Union, which of the three events had the potential to advance Soviet interests the most? The three events are the Cuban Missile Crisis, The Space Race, and The Berlin Wall.
Answer: Soviet leader Nikita Khrushchev had gambled on sending the missiles to Cuba with the specific goal of increasing his nation's nuclear strike capability.
Step-by-step explanation:
The Soviet Union signed a treaty with Hitler, the U.S. kept the atomic bomb a secret, and the U.S. took a long time to attack Hitler. France, Britain, and the United States wanted to reunify Germany, so they combined their areas into West Germany. Soviets cut off transportation to West Berlin. This lead to the United States and Britain using the Berlin airlift to bring food/supplies into the isolated part of Soviet occupied West Berlin.what's the solution to the inequality 1 2/3 > r - 7/12
Answer:
r ≤ 2 1/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesRewriting FractionsStep-by-step explanation:
Step 1: Define
1 2/3 ≥ r - 7/12
Step 2: Solve for r
Rewrite: 5/3 ≥ r - 7/12Isolate r: 9/4 ≥ rRewrite: r ≤ 9/4Reduce: r ≤ 2 1/4Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.
What percentage of students who take honors English are taking a non-honors math class?
Answer:
B
Step-by-step explanation:
Took quiz GL
Answer:
the answer is not B
Step-by-step explanation:
the answer is A I actually took the quiz
Dungeon and Dragons (old popular boardgame) uses a twenty-sided number cube (die), what is the probability that you will roll an even or an odd prime number? The number 1 isn’t an odd prime. Round to three decimals.
Answer:
P(even or odd prime) = 0.85
There is 85% probability of rolling an even number or odd prime number.
Step-by-step explanation:
We are given a twenty-sided die which means it has faces from 1 to 20, so that means the total number of outcomes are 20.
We are asked to find the probability of rolling an even number or odd prime number.
We know that probability is given by
P = Number of desired outcomes/Total number of outcomes
Let us first count the number of desired outcomes.
In the range of 1 to 20 we have following even numbers,
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 (10 outcomes)
P(even) = 10/20
P(even) = 0.50
In the range of 1 to 20 we have following odd prime numbers,
3, 5, 7, 11, 13, 17, 19 (7 outcomes)
P(odd prime) = 7/20
P(odd prime) = 0.35
So the required probability is
P(even or odd prime) = 10/20 + 7/20
P(even or odd prime) = 0.50 + 0.35
P(even or odd prime) = 0.85
Therefore, there is 85% probability of rolling an even number or odd prime number.
Note: Since we are asked to find the probability of rolling an even number or odd prime number, that's why we have added the probabilities of these two events.
OR corresponds to addition of probabilities
AND corresponds to multiplication of probabilities
3.5.49 X 0.67 *
Your answer
What is the answer
Answer:
2.37783 or 23.7783
Step-by-step explanation:
Pls help with this one I give brainliest thank you! Number 7
Answer:
length x width x height = volume
5.5 x 2 = 11 x 3 = 33
33 ft.
hope this helps
if you have any questions you can ask!
Step-by-step explanation:
Solve : 6(x-4) + 3(x+7)= 3
Answer:
X = 2
Step-by-step explanation:
6(x-4) + 3(x+7)= 3
Open parentheses
6x-24+3x+21=3
Simplify
3x-3=3
Add 3 onto both sides
3x=6
And...
X = 2What does the x coordinate of a point tell you?
Answer:
X is for the height
Step-by-step explanation:
Arcodding to the coordinate table , this chart has x and y. We measure the y first then we measure the x.
the y coordinate show the length and the y measure the height
I hope it'll help you much
Thank you for asking
Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.
Complete Question
Determine whether the distribution is a discrete probability distribution.
xP(x)
0 0.100
1 0.200
2 0.300
3 0.400
Is the distribution a discrete probability distribution?
A. Yes , because the sum of the probabilities is equal to 1.
B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.
C. No , because the sum of the probabilties is not equal to 1.
D. No , because each probability is not between 0 and 1 comma inclusive.
Answer:
The correct option is B
Step-by-step explanation:
From the question the probabilites are
[tex]p_1 = 0.100[/tex]
[tex]p_2 = 0.200[/tex]
[tex]p_3 = 0.300[/tex]
[tex]p_4 = 0.400[/tex]
The sum of the probability is
[tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]
Can anyone help please? With questions 4 please
Answer:
a. The area of the garden is 11.68 [tex]m^{2}[/tex]
b. $192 and then $177
Step-by-step explanation:
a. 7.5-2.6 = 4.9, so the rectangular part is 4.9 x 1.3 = 6.37
then [tex]\pi r^{2}[/tex] is the area of a circle, but the 2 ends together are 1/2 the circle
so [tex]\pi *1.3^{2}[/tex] = 5.31, The area of the garden is 11.68 [tex]m^{2}[/tex]
b. 11.68/.75=15.57, so you have to buy 16 bags (can't buy a partial bag)
16*$12=$192, then 5($33)+$12=$177
given the function defined below, what is the value of the 4th term?
f (1) = -4
f (n) = -3f (n-1) +5
f (4) =
Answer:
The 4 t h term is f(4) = 143
Step-by-step explanation:
Explanation:-
Given function f(1) = -4
Given 'nth' term is f(n) = -3f(n-1) +5
Put n =2 f(2) = -3 f(2-1) +5
= -3 f(1) +5
= -3 (-4) +5
= 12 +5
f(2) = 17
put n= 3
f(n) = -3f(n-1) +5
f(3) = -3 f(3-1) +5
= -3f(2) +5
= -3(17) +5
= -51+5
f(3) = -46
Put n=4
f(n) = -3f(n-1) +5
f(4) = -3f(4-1) +5
f(4) = -3f(3)+5
f(4) = -3(-46)+5
f(4) = 138 +5
f(4) = 143
Final answer:-
The 4 t h term is f(4) = 143
How to add or subtract this polynomial
Answer:
18x^2 + 9x - 5
Step-by-step explanation:
Combine like terms:
(9x^2-8) + (9x^2+9x+3)
= 9x^2 + 9x^2 + 9x - 8 + 3
= 18x^2 + 9x - 5
Rectangle ABCD has vertex coordinates A(-1,-1), B(-1, -3), C(-4,-3), and
D(-4,-1). It is translated 2 units to the left and reflected across the x-axis.
What are the coordinates of A"B"C"D?
Answer:
A"(-3, 1)
B"(-3, 3)
C"(-6, 3)
D"(-6, 1)
Step-by-step explanation:
first, find the coordinate after you move it to the left by simply adding 2 to the X coordinate because left and right is in the X plane.
you will get these;
A"(-3, -1)
B"(-3, -3)
C"(-6, -3)
D"(-6, -1)
Then, to find the new coordinate after getting the rectangle reflected across the x-axis, simply change all Y coordinate into positives.
HOPE THIS HELPS :))
An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?
Answer:
its A
Step-by-step explanation:
ED 2020
It took an ice cream 28 minutes to drive through one neighborhood. The truck stopped driving through the neighborhood at 2:05 pm When did the truck start driving through the neighborhood? Choose 1 answer:
Answer:
Starting time: 1:37
Step-by-step explanation:
Instead of proof to solve the problem, let us prove that the starting time above is correct;
1. There are 60 minutes in an hour, so 60 - 37 = the minutes 'till 2:00, or 23 minutes
2. Knowing that the time the truck stopped driving through the neighborhood was 5 minutes past 2:00, the minute difference being 23 + 5, or 28 minutes
Proved: 28 minutes
What's your real rate of return if your savings account pays 2.5% interest and inflation is at 1%?
A. 1.5%
B. 2.5%.
C. 3.5%
D. Can't calculate.
Answer:
Real rate of return = 1.5%
Step-by-step explanation:
Given:
Savings account return = 2.5%
Inflation rate = 1%
Find:
Real rate of return = ?
Computation:
⇒ Nominal rate of return = Real rate of return + Inflation rate
⇒ Real rate of return = Savings account return - Inflation rate
⇒ Real rate of return = 2.5% - 1%
⇒ Real rate of return = 1.5%
PLS HELP ME!
Um doing venn digrams so u have to set one up for it to work... TWENTY POINTS
Answer:
Creating a diagram..
Step-by-step explanation:
Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)
a. 7 do not own anything.
b. the probability that someone owns a bone or a stick is 50%.
c. the probability that someone owns a rock and a bone is 14%.
d. the probability that someone owns at least 2 items is 42%.
e. the probability that someone owns only 1 of these items is 51%.
Please tell me if im wrong! im only a student .m.