Answer:
(29.14 ; 30.06)
Step-by-step explanation:
Given that'
Sample size (n) = 57
Mean (m) = 29.6
Population standard deviation (σ) = 2.7
Confidence interval = 80%
= (1 - 0.8) / 2 = 0.1
Mean ± z * σ/√n
Using the Z probability calculator : Z0. 1 = 1.28
Hence,
29.6 ± 1.28 * (2.7 / √57)
29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)
29.142241664 ; 30.057758336
(29.14 ; 30.06)
What is the absolute value of the complex number 4-V3/?
O 32
O 14
O 18
Answer:
[tex]3\sqrt{2}[/tex]
Step-by-step explanation:
The Magnitude of a Complex Number
A complex number is expressed in rectangular form as:
[tex]Z=a+ b\mathbf{ i}[/tex]
The absolute value or magnitude of Z is calculated as follows:
[tex]\mid Z\mid=\sqrt{a^2+b^2}[/tex]
We are given the number
[tex]Z=-4-\sqrt{2}\mathbf{ i}[/tex]
Here: a= -4, b=[tex]-\sqrt{2}[/tex]
Calculating the absolute value:
[tex]\mid Z\mid=\sqrt{(-4)^2+(-\sqrt{2})^2}[/tex]
Operating:
[tex]\mid Z\mid=\sqrt{16+2}=\sqrt{18}[/tex]
Factoring 18:
[tex]\mid Z\mid=\sqrt{3^2*2}[/tex]
Taking the square root of 3^2:
[tex]\mid Z\mid=3\sqrt{2}[/tex]
Answer: [tex]\mathbf{3\sqrt{2}}[/tex]
what is order of operations for 20-5x2+6
Answer:
multiply, add, then subtract so your answer should be 4
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
(please excuse my dear aunt sally)
First answer is brainiest
Explain you're answer even if its just a bit because I'm tired of people giving me random answers so I fail its annoying.
Answer:
D
Step-by-step explanation:
So you are looking for the inverse equation. The original can be written as y=1/2x-6. For the inverse, your variables switch places. It's reflecting across the line y=x (that's what the inverse does). So you write it as x=1/2y-6. Now solve for the new equation:
Move 6 over: x+6=1/2y
Isolate y: 2(x+6)=y
This gets you D.
A scuba diver is swimming at an elevation of 52 feet below sea level. She sees it'school of fish and rises 16 feet to watch the fish. What is her elevation now?
-46
52-16=negative 46 because shes still below sea level
Answer:
36 feet below sea level.
Step-by-step explanation:
if you subtract 52 by 16 you'd get 36. See for yourself.
PLEASE PLEASE HELP ME
Answer:
Is the line going through negative dot or positive? Think about it.
Step-by-step explanation:
Anyway my teacher came into me anyway its a positive answer. so A or B
In a fruit basket there are 9 bananas 4 apples and 3 plums 1. The ration of bananas to apple is ________:_________. 2. The ration of plums to apples is __________to________. 3. For every __________apples, there are ______plums. 4. For every 3 bananas there is one _________.
Answer:
1. 9:4 2. 3:4 3. for every 4 apples there are 3 plums 4. plum
Step-by-step explanation:
1. there are 9 bananas and there are 4 apples.
2. there are 3 plums and there are 4 apples
3. there are 4 apples so there are 3 plums
4. 9 divided by 3 = 3. 3 divided by 3 = 1
what is an equation with more than one variable called
a.a literal equation
b.a variable
c.an expression
d.a quadratic equation
Answer:
option A
a variable is a number which is always changing
an expression doesn't have an equal sign
a quadratic equation is an equation which has one variable but the highest power of that variable is 2
so the answer is a literal equation or linear equation in two variables
Angle W measures 68 degrees more than angle F. Angles Wand
Fare supplementary. What is the measure of angle W?
Answer: The measure of angle W is 124°.
Step-by-step explanation:
Given: Angles W and F are supplementary.
We know that the sum of two supplementary angles is 180 degrees.
So, ∠W + ∠F = 180° (i)
As per given,
∠W = ∠F + 68° (ii)
Put value of ∠W from (ii) in (i)
∠F + 68°+∠F = 180°
⇒ 2 ∠F = 180°- 68°
⇒ 2 ∠F = 112°
⇒ ∠F = 56°
From (ii),
∠W = 56° + 68°
⇒ 124°
Hence, the measure of angle W is 124°.
A board 14 1/4 inches long is cut from a board that is 4 feet long. If the width of the saw cut is 1/8 inch, what is the length of the remaining piece?
Answer:
Step-by-step explanation:
From the given information;
since;
1 feet = 12 inches long
Then, 4 feet = (4 × 12)inches long
= 48 inches long
Thus, the length of the remaining piece is calculated as follows:
Length of remaining piece = Total length of piece - (piece that was being cut + width )
[tex]= 48 - (14 \dfrac{1}{4}+ \dfrac{1}{8})[/tex]
[tex]= 48 - ( \dfrac{57}{4}+ \dfrac{1}{8})[/tex]
[tex]= 48 - ( \dfrac{114+1}{8})[/tex]
[tex]= 48 - ( \dfrac{115}{8})[/tex]
[tex]= \dfrac{269}{8}[/tex] inches
which expression is equivalent to to 4(3+5)-3.92
Answer:
C: 12+20-54
Step-by-step explanation:
4(3+5)-3.92= -22
12+20-54= -22
:))
what is 60,000,000,000+800.000,000,000=?
Answer:
130.000,000,000
:)
Step-by-step explanation:
888383883838383dStep-by-step explanatio
Factor completely: y6 - 1.
Answer:
(y times 6) -1
Step-by-step explanation:
I don't know what to say it is already simplified
The mean score on a set of 16 tests is 90. What’s the sum of all the test scores?
A case of woods screws wieghs 18 2/3 pounds.each individual box of woods screws wieghs 1 1/3 pounds. How many individual boxes of wood screws are in the case?
A. 5
B. 9
C. 14
D. 20
Any hypothesis that an analyst has accepted to be true and which forms the basis of an assessment is a: ______
Answer:
The correct answer is the alternate hypothesis.
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.
Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.
The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.
It is also known as the research hypothesis and is denoted by Hₐ.
Thus, the correct answer is the alternate hypothesis.
hmmmmmmmmmmmm please help uwu
Answer:
10.50 per hour
Step-by-step explanation:
I divided 26.25 by 2.5 and got 10.5. Hope this helps!
PLEASE HELP!!!!! -x+y= -2
A 5,3
B 4,2
C 3,1
D 2,0
Answer:
All of the above.
Step-by-step explanation:
All of the above are equal to 5,2. I hope this cleared things up! ^w^
Please need help thank you
Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function
Answer: Its a function
Step-by-step explanation:
2.5 divided by 1.5 round to nearest tenth
Answer:
1.7
Step-by-step explanation:
2.5÷1.5
5/3
1.66666
1.7
The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2.5 divided by 1.5
So, 2.5 / 1.5
= 25 x 10 / 15 x 10
= 25/15
= 5 x 5 / 5 x 3
= 5/3
Hence, the divisions results to 5/3 or 1.6667
Learn more about Division here:
https://brainly.com/question/21416852
#SPJ2
If there are 32 desks in the classroom and 25% of them are broken, how many
desks are broken?
4
10
8
5
Answer: 8 of them are broken
Answer:
32 × 25
100
16 × 25
50
8 × 25
25
200
25
8
The answer is 8
Edit:-
i had made a calculation error in this answer...
i realised my mistake and corrected it...
im sorry for the inconvienience caused...
future readers of this answer, do not thank this answer, i dont deserve it...
Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
Note: As you missed to add the graph of mentioning the complete question.
So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.
Answer:
Please check the explanation!
Step-by-step explanation:
Given the attached graph below, it is clear that the right angle triangle ABC is shown.
Here are some of the information we can get from the right angle triangle ABC such as:
The angle at C = 30°side AB = 8 unitsWe have to determine the unknown side 'x' using the trigonometric ratios
As
tan Ф = opp/adjacent
From the diagram it is clear that
Ф = 30°
opp=8
adjacent = BC = x
so
tan Ф = opp/adjacent
tan 30 = 8/x
1/√3 = 8/x
x = 8×√3
x = 13.9
Therefore, the missing length will be: x = 13.9
what is 58+67÷34×21-34
what is the correct evaluation of 3x-x+2,when x is equal to -4?
14
-6
6
-14
Answer:
(b) -6
Step-by-step explanation:
=3x-x+2
=3(-4)-(-4)+2
=-12+4+2
=-12+6
=-6
Write a problem in which$180 would be a reasonable answer
Answer:
um ill do to cause im in algerbra
Step-by-step explanation:
$30+$150=$180
5x+105=180
5x=75
x=15
Answer:You have to buy Christmas presents for your 3 kids Samantha wants the harry potter book set 50$ Casey want the sims 4 game 40$ and your oldest kid Johnny wants the new drone 90$.
Step-by-step explanation:
show work and ill give credit
9514 1404 393
Answer:
5
Step-by-step explanation:
To solve the inequality, we can do the following.
4.55g + 8.50 ≤ 35 . . . given
4.55g ≤ 26.50 . . . . . . subtract 8.50 from both sides
g ≤ 5.82... . . . . . . . . . . divide both sides by 4.55
The number of games must be an integer value, so the maximum number of games they can bowl is 5.
8. If Alice only has $10 dollars, and she sends 27 text messages, how much data can she use?
Answer: 37 cents per text message
Answer:
200 mintes
Step-by-step explanation:
PLEASE I NEED HELP ASAP THIS IS ALSO MIDDLE SCHOOL/ pancho writes a check for $140 a month for the electric bill. He writes another check for $105 four times a year for the water bill. He writes a check for $55 a month for the phone and internet bill. Write an expression involving multiplication and addition to describe how these expenses affect his checking account balance on a yearly basis. Then evaluate the expression and explain its meaning.
Answer:
140x12+105x4+55x12= 86,340 a month
Step-by-step explanation:
PLEASE HELP!!!!!!!
The temperature is 56°F. The temperature decreases for 6 hours. Each hour, the temperature decreases by 3°F. Then the temperature rises 12°F in one hour. What is the temperature after 7 hours?
Answer:
50 degrees
Step-by-step explanation:
3 x 6 = 18
56 - 18 = 38
38 + 12 = 50
Write 2/3 as a decimal and round to 3 significant figures
Answer:
0,66
Step-by-step explanation:
You can put it into a calculator, that might be just as helpful and less time-consuming, because 2/3 is the same as 2÷3
Answer:
0.667
Step-by-step explanation:
[tex]\frac{2}{3} =0.6666666666666666[/tex]