Answer:
3.5 x 8 = 28 in²
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 50 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more adult Americans does the researcher need to sample in the following cases? (a) 20% of all adult Americans support the changes (b) 25% of all adult Americans support the changes
Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).
What is proportionality ?In mathematics, proportionality is the connection between two factors that maintains a fixed ratio called scale factor. Or, to put it another way, if one variable is increased or divided by a specific number, the second variable will also be doubled or divided by that identical number, maintaining their proportionality. Calculus, algebra, and geometry are three areas of mathematics where this idea is frequently applied.
given
(a) If 20% of adult Americans favour the suggested reforms, the sample size needed at the very least is:
n = [(zα/2)² * p * (1-p)] / E²
where z/2 is the standard normal distribution's critical value for the chosen degree of confidence (e.g., 1.96 for a 95% confidence level).
The population proportion is p. (0.2 in this case)
The degree of inaccuracy is E. (e.g., 0.05)
When we enter the values, we obtain:
n = [(1.96)² * 0.2 * (1-0.2)] / 0.05²
n = 1536.64
Thus, the study would require at least 1537 more adult Americans to be sampled.
(b) The minimal sample size needed if the proposed modifications are
supported by 25% of all adult Americans is:
n = [(zα/2)² * p * (1-p)] / E²
where:
The standard normal distribution's critical value, z/2, depends on the desired level of confidence (e.g., 1.96 for a 95% confidence level).
The population proportion is p. (0.25 in this case)
The degree of inaccuracy is E. (e.g., 0.05)
When we enter the values, we obtain:
n = [(1.96)² * 0.25 * (1-0.25)] / 0.05² \sn = 384.16
Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).
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please help will get brainliest
(the figure is not drawn to scale)
which one?
154 cm2
217 cm2
308 cm2
5488 cm2
Please help me with this!
9514 1404 393
Answer:
y ≥ -2/3x +2
Step-by-step explanation:
The y-intercept of the boundary line is y=2.
The next grid intersection to the right appears to be the x-intercept at x=3, which represents a "rise" of -2 and a "run" of +3 from the y-intercept.
At this point, we know the slope (rise/run = -2/3) and the y-intercept (+2) of the boundary line. We see it is a solid line, and shading is above it. This means the inequality could be ...
y = mx + b . . . . . . . . . equation for a line with slope m and y-intercept b
y ≥ -2/3x +2 . . . . . equation for the graphed inequality
__
Alternate solution
We observe that the y-intercept is +2, and the x-intercept is +3. The equation of the boundary line can be written in intercept form as ...
x/x-intercept = y/y-intercept = 1
As noted above, the line is shaded where both x- and y-values are greater than or equal to those on the line. So, the "intercept form" of the inequality could be ...
x/3 +y/2 ≥ 1
Often, we don't like fractions, so we can multiply by 6 to put this in standard form:
2x +3y ≥ 6
_____
Additional comment
Any of these highlighted inequalities is "an inequality" that describes the graph. We don't know if you're required to write the inequality in a specific form.
Evaluate the expression. Can someone show me how this is done with fractions on 7 and 9
Answer:
Number 7 is; -1/7776
number nine is :| −8/ 3 | or 2.666667
Step-by-step explanation:
-1/6)^5=1^5/6^5
=-1/^5/6/5
1^5=1
=-1/6^5
6^5=7776
=-1/7776
|(− 1/ 3 )(110+9−2)|
=| −1/ 3 (110+9−2)|
=| −1/ 3 (1+9−2)|
=| −1/ 3 (10−2)|
=| −1 /3 (8)|
=| −8 /3 | =2.666667
Hope this helped!!!!
Find the 43rd term of the sequence
-3.0,-2.5,-2.0,-1.5
Answer:
19.5
Step-by-step explanation:
The 43rd term of the sequence is 19.5
A kite flying in the air has a 78-string attached to it, and the string is pulled taut. The angle of elevation of the kite is 52°. Find the height of the kite. Round
your answer to the nearest tenth.
Answer:
sine 52 degrees = height / 78
height = 78 * sine 52
height = 78 * 0.78801
height = 61.46478 feet
rounded to nearest tenth 61.5 feet
Step-by-step explanation:
How do I answer this and I need explanation pls
Answer:
65 degrees
Step-by-step explanation:
1) Find the value of x
The sum of all the interior angles of a triangle is always 180 degrees. Knowing this, we can construct the following equation:
[tex](2x-5)+(115-x)+x=180[/tex]
Open up the parentheses
[tex]2x-5+115-x+x=180[/tex]
The two x's cancel out
[tex]2x-5+115=180\\2x+110=180[/tex]
Subtract 110 from both sides
[tex]2x+110-110=180-110\\2x=70[/tex]
Divide both sides by 2
[tex]2x/2=70/2\\x=35[/tex]
Therefore, x is equal to 35.
2) Find the value of <C
[tex]C=2x-5[/tex]
Plug 35 into the equation as x
[tex]C=2(35)-5\\C=70-5\\C=65[/tex]
Therefore, the value of angle C is 65 degrees.
I hope this helps!
Find the midpoint of BD.
B (0, a)
C С
А
D (a,0)
Enter the value that [?]
belongs in the green box.
Midpoint Formula: M = (4x2.979)
들
2
Enter
Answer:
A
Step-by-step explanation:
(0.5a, 0.5a) is the midpoint of the line BD and a is the value that belongs in the green box.
What is a midpoint?The midpoint of a line segment is a point that lies exactly halfway between two points.
Consider the points B(0,a) and D(a,0).
The general form of midpoint formula is given by
Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2)
Here, x₁ = 0, x₂=a and y₁ = a, y₂ = 0
Therefore, the value that belongs in the green box is given by
(x₁ + x₂)/2 = (0+a)/2 = a/2 = 0.5a
(y₁ + y₂)/2 = (a+0)/2 = a/2 = 0.5a
The midpoint is given by
Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2) = (0.5a, 0.5a)
Hence, the value that belongs in the green box is a and the midpoint of the line BD is (0.5a, 0.5a).
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What is the sum of adding two opposites together? *
Answer:
I'm guessing the opposites are negative and positive so whenever you add two opposite numbers it will always be 0. The answer will always be 0.
For example:
-3 + 3 = 0
4 - 4 = 0
-15 + 15
PLEASE HELP ME ASAP WITH WORK!! I WILL GIVE BRIANLIEST!!
Ba) Xander needs to collect at least 120 cans for a food drive to earn
community service credit. He has already collected 64 items. Write and
solve an inequality to represent the number of cans, c, that Xander must
still collect.
8b) describe the graph of the solution set for the question above. Be sure to describe the circle and tell the direction on the arrow
Answer:
he needs to collect at least 56 more
Step-by-step explanation:
c+64[tex]\geq[/tex]120
c[tex]\geq[/tex]120-64
c[tex]\geq[/tex]56
Answer:56 more
Step-by-step explanation:
For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.
Answer:
(x–1)(x²–6x+6)
Explanation:
Given that 1 is a zero, we can use synthetic division to compute the factor.
If 1 is a zero (x–1) is a factor.
Here is the process:
| 1 | 1 -7 12 -6
↓ +(1) +(-6) +(6)
↓ ↓ ↓
1 -6 6 0
→ [1]x² + [-6]x + [6]1 + [0]/x–1 =
x² – 6x + 6.
Therefore the factors are (x–1)(x²–6x+6)
Find the indicated side of the
right triangle.
45
y
9
45°
х
y = [?]
Answer:
y = 9√2
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
y² = 9² + x²
By the property of isosceles triangle,
Two angles of the right triangle are equal in measure, opposite sides of these equal angles will be equal in measure.
Therefore, x = 9
y² = 9² + 9²
y² = 81 + 81
y² = 162
y = √162
y = 9√2
someone please help. this is the rest of my points. and it's worth 50% of my grade
Answer:
a=52
b=128
r=s=100
Step-by-step explanation:
Somebody help me please whoever answers first get it thanks and 11 points
Answer:
time 0 1. 2. 3.
distance. 0. 60. 120. 180.
1.time and distance are the two main quantity.
2. distance depends on time
3.time
4. hours minutes seconds
5.distance miles metres kilometers
6.Time is always the independent variable. The other variable is the dependent variable (in our example: time is the independent variable and distance is the dependent variable).
7 multiplicative
8.miles per hours
9.rate= distance/time
rate*time=distance
A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
A. 10
B. 13
C. 31
D. 34
9514 1404 393
Answer:
C. 31
Step-by-step explanation:
The recursive definition tells us the 4th term is 22 and the common difference is -3. This lets us write an explicit formula for the n-th term:
f(n) = f(4) +d(n -4)
f(n) = 22 -3(n -4) = 34 -3n
Substituting n=1 into this formula, we get ...
f(1) = 34 -3(1) = 31
The first term is f(1) = 31.
Answer:
31
Step-by-step explanation:
The first term of an arithmetic sequence is 10 and its
common difference is -3. What is the sum of the first
10 terms of this sequence?
Please hurry! ill give brainliest
Answer:
The sum of the first ten terms is -35.
Step-by-step explanation:
The first term of an arithmetic sequence is 10, and its common difference is -3.
We want to find the sum of the first 10 terms of this sequence.
Remember that the sum for an arithmetic sequence is given by:
[tex]\displaystyle S=\frac{k}{2}\left(a+x_k\right)[/tex]
Where k is the number of terms, a is the initial/first term, and x_k is the last term.
Since our initial term is 10, a = 10.
And since we want to find the sum of the first ten terms, k = 10.
So, we will need to find the last or tenth term. We can write an explicit formula. The standard explicit formula for an arithmetic sequence is:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
So, by substituting, we acquire:
[tex]x_n=10-3(n-1)[/tex]
Then the tenth or last term is:
[tex]x_{10}=10-3(10-1)=10-3(9)=10-27= -17[/tex]
Then the sum of the first ten terms will be:
[tex]\displaystyle S_{10}=\frac{10}{2}(10+(-17))=5(-7)=-35[/tex]
Answer:
-35
Step-by-step explanation:
[tex]a_{1}[/tex] = 10+(-3)(0) = 10
[tex]a_{10}[/tex] = 10+(-3)(9) = -17
[tex]S_{10}[/tex] = 10[(10 -17)/2] = 10(-7/2) = -70/2
the model below is shaded to represent an expression. which expression represents the model? PLS HELPPPPP
Answer:C
Step-by-step explanation:
The expression that most adequately expresses the model would be:
C). 3 × 2/5
What is a fraction?A fraction is described as an expression employed to denote a segment or section belonging to a larger whole.
In the given question, it can be observed that the model contains 10 parts in total with a division of 5 each into 2 parts.
Since the division of 2 is made thrice, it gives 3 × 2/5 which makes the third option the correct one.
Thus, option C is the correct answer.
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5th grade math. correct answer will be marked brainliest
Answer:
2 over 15 I think. I might be wrong. I rarely deal with fractions anymore.
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
Answer:
x = 12
Step-by-step explanation:
Given:
m<BCF = 4x°
m<CFE = 11x°
Required:
m<BCF and m<CFE
SOLUTION:
m<BCF + m<CFE = 180° (same side interior angles are supplementary)
Substitute
4x + 11x = 180
15x = 180
Divide both sides ny 15
15x/15 = 180/15
x = 12
a bottle of soft drinks costs $2. the commission paid on one bottle is 2% of the cost price.find the commission on 24 bottles of soft drinks
Answer:
$0.96
Step-by-step explanation:
First, find the cost of the 24 bottles, by multiplying 24 by 2
24(2)
= 48
Find the commission by finding 2% of 48
48(0.02)
= 0.96
So, the commission will be $0.96
The commission on 24 bottles of soft drinks is $0.96.
How to find the commission on 24 bottles of soft drinks?Given:
a bottle of soft drinks costs $2. the commission paid on one bottle stands at 2% of the cost price.
First, we want to estimate the cost of the 24 bottles, by multiplying 24
by 2
[tex]= 24*(2)[/tex]
= 48
To find the commission by estimating 2% of 48
commission = 48*(0.02)
commission = 0.96
So, the commission will be $0.96.
Therefore, the commission on 24 bottles of soft drinks is $0.96.
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Elimination 5x -6y = -17. -3x -5y = -7
Answer:
x = -1 and y = 2
Step-by-step explanation:
3(5x - 6y = -17)
5(-3x - 5y = -7)
----------------------- Add the two equations together
-43y = -86
y = 2
5x - 6(2) = -17 Substitute y with 2 in the first equation to get the value of x
x = -1
Answer:
x = -1
y = 2
Step-by-step explanation:
5x - 6y = -17
-3x - 5y = -7
I will eliminate variable x first:
Multiply the first equation by 3
15x - 18y = -51
Multiply the second equation by 5
-15x - 25y = -35
Now subtract the second equation from the first equation:
15x - 18y = -51
-15x - 25y = -35
0x - 43y = -86
-43y = -86
Divide both sides by -43
Negative + Negative = Positive
y = 2
Now eliminate variable y:
Multiply the first equation by 5
25x - 30y = -85
Multiply the second equation by -6 (Negative switches all of the signs)
18x + 30y = 42
43x + 0y = -43
43x = -43
Divide both sides by 43
x = -1
Check work:
5(-1) - 6(2) = -17
-5 - 12 = -17
-17 = -17
Correct
-3(-1) - 5(2) = -7
3 - 10 = -7
-7 = -7
Correct
Find the 97th of the arithmetic sequence 25, 29, 33, ...
Answer:
If im not wrong is 409
Step-by-step explanation:
have a nice day :)
A water station table at a marathon starts with 200 plastic cups on it. Every minute, 15 cups are taken from the table. How many minutes could have passed if there are fewer than 50 cups on the table?
Answer:
is dancing with the circus grows and the mongooses you join us for the circus grows and the mongooses you join us for the circus grows and the mongooses you
What is the measure of B ?
Answer: if you add then all up you get 75 so it could be A or D I don't know if it want the volume and the volume is 75 hope this helped
Step-by-step explanation:
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What is the value of the expression below when x equals 4? 13 + 13x
Answer:
the answer is 50
Step-by-step explanation:
Please help :) Giving brainliest.
Answer:
D
Step-by-step explanation:
The sales tax rate on a new vehicle is 6.5%. If the vehicle is $12,000, then how much will you be charged for sales tax
Find the exact value of x. Do the side lengths form a Pythagorean triple?
Answer: Square root (52), No
Step-by-step explanation:
Answer:
Step-by-step explanation:
4^2 + 6^2 = x^2
sqrt 52 = x
x= 7.211
No, it is not a pythagorean triple because x is not a whole number.
Find the base of a parallelogram with area of 24 and height of 3 3/4
Answer:
base = 6.4 units or 6 2/5
Step-by-step explanation:
area = bh
24 = b(3.75)
b = 6.4 units or 6 2/5
Answer:
6.4
Step-by-step explanation:
Area = base x height
if height = 3.75 or 3 3/4
Divide
24 ÷ 3.75 = 6.4
base = 6.4
Please help me with this answer
Thank you!