Answer:
The correct options are a and c.
Step-by-step explanation:
Confidence interval:
A confidence interval is given by the sample proportion plus/minus the margin of error. This means that the confidence interval is symmetric, that is, the difference between the upper bound and the sample proportion has to be the same as the difference between the sample proportion and the lower bound.
Sample proportion is 0.55
So options for the confidence interval are:
Lower bound - upper bound
0.54 - 0.56
0.53 - 0.57(which means that option b is wrong)
0.52 - 0.58(which means that option c is right)
...
0.5 - 0.6(which means that option a is right).
The correct options are a and c.
The confidence interval is the range of value between which the true population proportion would lie given a certain margin of error. Hence the correct options are A and C
Hence, the upper and lower boundary would the same error value above and below the mean proportion.
Evaluating the options given :
Error below = 0.50 - 0.55 = -0.05
Error above = 0.60 - 0.55 = 0.05
Error below = 0.53 - 0.55 = -0.02
Error above = 0.59 - 0.55 = 0.04
Error below = 0.52 - 0.55 = -0.03
Error above = 0.58 - 0.55 = 0.03
Error below = 0.60 - 0.55 = 0.05
Error above = 0.70 - 0.55 = 0.15
Error below = 0.45 - 0.55 = -0.10
Error above = 0.60 - 0.55 = 0.05
Therefore, the only options with equal margin of error, above and below the mean are options A and C.
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me pueden ayudar a resolver la ecuaciones
How would the imaginary number 7/2i be written as a complex number?
Answer:3.5? i’m not sure sorry
hope that kinndaaaa helps if xxo
Step-by-step explanation:
The representation of (7/2)i in complex number will be 0 + (7/2)i thus option (C) will be correct.
What is a complex number?Complex numbers are helpful in finding the square root of negative numbers.
If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).
The general form of a complex number is a + ib where the first part a called real and the ib is called imaginary.
The complex number is written as a + ib where a is said to be the real part while bi is the imaginary part.
As per the given (7/2)i here real part is missing thus, put a = 0
0 + (7/2)i will be the correct.
Hence "The representation of (7/2)i in complex number will be 0 + (7/2)i".
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If 40 is increased to 56, what is the percent of change?
80%
29%
40%
71%
Answer:
what the first person said
Step-by-step explanation:
Сумма пяти последовательных натуральных нечетных чисел равна 9975 Найдите эти числа
What is the length of side x and y? *????????????????????????
The question is down below.
AB=
Answer:
Step-by-step explanation:
This time we use the sin identity.
I am too lazy to write it out again but the answer is 6.97
The diameter of one red blood cell is about 2.95E-4 of an inch. It would take about 5.35E12 red blood
cells laid end to end to span the circumference of the earth.
What would be the length of this chain of red blood cells?
Answer:
1.578 × 109 inches
Step-by-step explanation:
Multiply the diameter of one red blood cell by the number of red blood cells to determine the length of the chain.
First, write both numbers in scientific notation.
Now, multiply using the product property of exponents.
Since the first term of a number written in scientific notation must be greater than 1 and less than 10, rewrite 15.78 × 109 as 1.578 × 109.
So, the length of the chain of red blood cells would be about 1.578 × 109 inches long.
Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.
The total volume of the apartment is
ft3.
An hourly rating of 2.5 BTUs per cubic foot is required, so
.
Arthur needs an air conditioner that will provide
BTUs to properly cool his apartment.
Answer:
1. 2,160ft^3
2. multiply the total volume by 2.5
3. 5,400 BTUs
Step-by-step explanation:
hope this helps
(10x - 4)=20
Question: What value of x makes the equation true
Answer:
x = 10.4
Step-by-step explanation:
1. Multiply each side by 5 to remove it as a fraction
2. it cancels out on the left leaving 10x - 4 = 100
3. Add 4 to each side canceling it out on the left and leaving 10x = 104
4. Divide each side by 10 to get x by itself
5. 10x/100 = 104/10
6. x = 10.4
Select the correct answer. Consider functions fand g. f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7) Which expression is equal to f(x) + g(x)? A. 4x2 – 3x + 4 B. -10r2 + 41 – 3 C. -10,2 – 3x + 4 D. –332 – 3x - 3
Answer:
Correct Answer:
Option (B) -10r2 + 41 - 3
Step-by-step explanation:
#platolivesmatter
Hope this helped :)
Comment for more help, I respond very fast ;)
The expression is equal to f(x) + g(x) is -10x^2 - 3x + 4, the correct option is C.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
The expression f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7)
Now,
To find f(x) + g(x), you can add the two functions term by term. This gives you:
f(x) + g(x) = (-3x^2 + 4x + 4) + (x(-7x – 7))
f(x) + g(x) = -3x^2 + 4x + 4 - 7x^2 - 7x
f(x) + g(x) = -10x^2 - 3x + 4
Therefore, by the given expression the answer will be -10x^2 - 3x + 4.
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Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40
shots, how many would she have scored if she takes 60 shots? (Round your answer down to the nearest point
scored)
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Signature
Answer:
She would have scored 75 points.
Step-by-step explanation:
Points scored in a basketball game vary directly with shots taken.
This means that this question can be solved by proportions, using a rule of three.
How many would she have scored if she takes 60 shots?
Using a rule of three:
50 points - 40 shots
x points - 60 shots
Applying cross multiplication:
[tex]40x = 50*60[/tex]
Dividing both sides by 40
[tex]x = 50*1.5 = 75[/tex]
She would have scored 75 points.
Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5
9514 1404 393
Answer:
B. r = 6.30÷5
Step-by-step explanation:
The cost per pencil is found by dividing the cost by the number of pencils.
Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...
r = 6.30 ÷ 5
A rectangle has an area of 18 square centimeters. Which of the following could be the rectangle's length and width? (Area = equals length × times width)
Answer:
Step-by-step explanation:
any combination that has as result 18
18 x1
9 x2
6x3
T
|3x°
--
V
W
Find the measure of angles T and V.
mZT=
o
mZV=
Answer:
∠T = 67.5
∠V = 22.5
Step-by-step explanation:
Angles of a triangle rule: The angles of a triangle should add up to equal 180
That being said we create an equation to solve for x
180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )
Now that we've created an equation we want to solve for x
180 = 3x + x + 90
step 1 combine like terms
3x + x = 4x
now we have 180 = 4x + 90
step 2 subtract 90 from each side
180 - 90 = 90
now we have 90 = 4x
step 3 divide each side by 4
4x / 4 = x
90 / 4 = 22.5
we're left with x = 22.5
Now we want to find ∠T and ∠V
To do so we replace x in the given expressions with 22.5
for ∠V
∠V = x so ∠V = 22.5
for ∠T
∠T = 3x
* replace x with 22.5 *
3 (22.5) = 67.5
Hence ∠T = 67.5
Parallel to y = 2x – 5
going through (-6, 1)?
Answer:
y=2x+13
Step-by-step explanation:
Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.
Therefore the gradient of the other line will also be 2.
Introduce another point (x,y) and then equate using the gradient as follows:
y-1/x--6=2
y-1/x+6=2
Cross multiplication;
(y-1)=2(x+6)
y-1=2x+12
y=2x+12+1
y=2x+13
5x5x5x5x5x5+ 10-2x10x20
Answer:
15,235
Step-by-step explanation:
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
bit.[tex]^{}[/tex]ly/3a8Nt8n
A chemist has 30% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 65 liters of 32% acid solution?
liters of 30% acid
liters of 40% acid
Answer:
30 = 80 %
40= 20 %
Step-by-step explanation
I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent
The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be 30% solution of acid and y be 40% solution of acid.
Total quantity of solution is 65 liters.
Now, x+y=65 ----------(i)
Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.
So, the equation is 30% of x+40% of y=32% of 65
0.30x+0.40y=0.32×65
0.30x+0.40y=20.8 ----------(ii)
From equation (i), x=65-y
Substitute x=65-y in equation (ii), we get
0.30(65-y)+0.40y=20.8
19.5-0.30y+0.40y=20.8
0.10y=20.8-19.5
0.10y=1.3
y=1.3/0.1
y=13
Substitute y=13 in equation (i), we get x=52
Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
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Find Equivalent Expression 1/2 (4x + 4)
Answer:
2x+2
Step-by-step explanation:
1/2(4x)+1/2(4)=2x+2
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answer:
why is brainlys tutor system not free anymore
Step-by-step explanation:
I really need to know all of a sudden it's not free anymore
Answer:
A=L×W
600=L×30
600/30=L
L=20
therefore the length is 20m
anna's rug has sides lenghts of 4 feet and 9 feet what is the area of anna's rug
Answer:
36 feet :P
Step-by-step explanation:
4x9=36 habe a wonderful day love
Answer:
0.44. ??
Step-by-step explanation:
A deli that just opened was giving out free mini sandwiches. A sample of 50 likely customers was surveyed about which sandwich they preferred. The people surveyed included 12 people who said they preferred the roast beef sandwich. Based on this information, how many of the first 150 sandwich orders should the deli predict will be for roast beef?
Answer:
128
Step-by-step explanation:
What is c/6=9 equals to
c = 54
!!!_!£((£2((2)1)1)1
please help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The Blue box is your answer
Step-by-step explanation:
Multiply 4, 8, and 7 and you get 224. The problem states that it should not be over 250, and 224 is not over 250. So the blue box is your best go.
How many pairs of opposite sides are parallel
pleaseee???? anyone? need helpp
Answer:
x=9
Step-by-step explanation:
Thats your answer
Find the surface area of the cylinder. Round your answer to the nearest hundredth and include units. Show your work on a piece of paper. *
1 point
Answer:
A = 414.69 km^2
Step-by-step explanation:
A = 2 π r h + 2 π r^2
A = 2(30)(pi) + 2(36)(pi)
A = 132pi
A = 414.69 km^2
What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth.
O 7.1
O 8.7
O 21.3
O 26.7
Answer:
8.7
Step-by-step explanation:
formula
d = sqrt(s^2 + s^2 + s^2)
d = sqrt(3*5^2)
d = sqrt(75)
d = 8.7
Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)
Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.
Answer:
hello love! your answer is 8.7cm :)
Step-by-step explanation:
i got it right on edge !
Find the area of the circle. Round your answer to the nearest hundredth. 3 in
Answer:
28.27 or 28 rounded up.
Answer:
7.07 in²
Step-by-step explanation:
Diameter = 3 in ( shown in figure )
Radius = 1/2( diameter) = 1/2 (3) = 1.5 in
Area of a circle = πr²
Area = (3.14)(1.5)²
Area = (3.14)(2.25)
Area = 7.065 in
Area = 7.07 in² ( round off)
What is the value of this expression when X equals 8? 4X -6+ X +3
Answer:
32-6+8+3
37
Step-by-step explanation:
Answer:
32 - 6 + 8 + 3 = 37
Step-by-step explanation:
Since we have the x-value, we can plug it in.
4(8) -6 +(8) +3
32 - 6 + 8 + 3
26 + 11
37
One angle of a right triangle measures 60°. What is the measure of the other acute angle?
Answer:
30 degrees
Step-by-step explanation:
triangles have 180 degrees
right triangles have a right angle which is 90 degrees
180-90=90
90-60=30
Answer:
30 degrees
Step-by-step explanation:
A triangle has three sides that should add up to 180.
Since it is a right triangle a side has to be 90°.
90°+60°+_30°_ = 180°