The 98% confidence interval of the proportion of all Americans who think that living on their own makes someone feels like an adult is (29.0%, 31.0%)
The number of successThe given parameters are:
Sample size, n = 2000Probability of success, p =28%The number of success is then calculated as;
[tex]\bar x = np[/tex]
This gives
[tex]\bar x = 2000 * 28\%[/tex]
Evaluate
[tex]\bar x = 560[/tex]
Hence, 560 successes would be found in the sample of 2000 Americans
The 98% confidence intervalThe proportion that lives on their own is:
p = 30%
The z-score for 98% confidence interval is
z = 2.326
The confidence interval is calculated as:
[tex]CI = \bar p \pm z * \sqrt{\frac{\bar p(1 - \bar p)}{ n}[/tex]
So, we have:
[tex]CI = 30\% \pm 2.326 * \sqrt{\frac{30\%(1 - 30\%)}{2000}[/tex]
Evaluate
[tex]CI = 30\% \pm 1\%[/tex]
Expand
CI = (30% - 1%, 30% + 1%)
Evaluate
CI = (29%, 31%)
Hence, the 98% confidence interval is (29.0%, 31.0%)
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On an average day, 34customers buy a bag of grapes at Jerry's Market. There are an average of 47grapes in each bag. Round to the nearest ten and then multiply to estimate the number of grapes Jerry's customers buy every day.
The total number of grapes bought in a day is 1600 .
What is an Equation ?An equation is a mathematical statement which relates two algebraic expression with an equal sign.
It is given that
34 customers buy a bag of grapes at Jery's Market.
There are an average of 47 grapes in each bag.
Let the no. of grapes = x
Then
x = 34 * 47
x = 1598
rounded to the nearest ten
The total number of grapes bought in a day is 1600 .
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i’m confused on whether its 12 or 18, pls help
Answer:
Notice that the triangles ABC and AMN are similar.
Thus:
[tex]\frac{AC}{MN} = \frac{AB}{MB}\\\\\frac{AC}{6} = \frac{8}{4} = 2\\\\ AC = 12\,\,ft.[/tex]
Simplify using trigonometric identities
2sinθ - sin2θ cosθ
Double angle identity for sine:
[tex]\sin(2x) = 2 \sin(x) \cos(x)[/tex]
[tex]\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)[/tex]
Factorize the left side.
[tex]2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)[/tex]
Pythagorean identity:
[tex]\cos^2(x) + \sin^2(x) = 1[/tex]
[tex]\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)[/tex]
so that
[tex]\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}[/tex]
If cos(x)=-4/5 in quadrant II then determine the following sin(x/2),cos(x/2),tan(x/2)
Answer:
[tex]sin(\frac{143.13}{2} )=0.9487\\\\cos(\frac{143.13}{2} )=0.3162\\\\tan(\frac{143.13}{2} )=2.9999=3\\[/tex]
Step-by-step explanation:
angles in II quadrant are found by solvig 180- ∅ where ∅ is the acute angle
Let us then find the acute angle: in[tex]cos^{-} (\frac{4}{5}) = 36.86^{0} \\\\so \ x \ the \ angle \ in \ the \ second \ quadrant \ is \ 180-36.86=143.13^{0} \\\\sin(\frac{143.13}{2} )=0.9487\\\\cos(\frac{143.13}{2} )=0.3162\\\\tan(\frac{143.13}{2} )=2.9999=3\\[/tex]
the entire school went 250 students went to the soap box derby the math club went in 2 busses each holding 6 students
The number of students from the math club that went to the soap box derby.
How to solve algebra word problems?From the question, we see that there are two vans and 6 students in each van.
Thus, to get the number of students from the math club that went to the soap box derby, we will solve as follows;
Number of students that went to derby = 2 × 6 = 12
Complete question is;
The entire school 250 students went to the soap box derby. The math club went in 2 vans and each van held 6 students how many students from the math club went to the soap box derby
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Geometry
On one side of a 216 square foot rectangular room is 12 feet. How long is the other side?
Answer:
18 ft.
Step-by-step explanation:
Area: 216 sq. ft.
1 side: 12 ft.
Area=l x w
216=12 x ?
216/12 = x
x = 18
When half of 3,926 is added to a quarter of 1,924
Answer:
2444
Step-by-step explanation:
A half of 3916 is 1963.
A quarter of 1924 is 481.
Therefore, 1963 + 481 = 2444.
Drag the tiles to the correct boxes to complete the pairs.
Sam works as a baggage carrier at an airport facility. He owes a certain amount of money, in dollars, to his friend Daniel. The function y = 12x − 40 represents the amount of money that Sam has after paying Daniel back in terms of the number of hours he works at the airport.
Match the values and variables to the aspects of the situation they represent.
x-variable
y-variable
12
40
the amount in dollars that Sam owes Daniel
arrowRight
the number of hours Sam works at the airport
arrowRight
the amount in dollars that Sam has after paying back Daniel
arrowRight
the amount in dollars that Sam earns per hour
arrowRight
The values have being matched to the variables that they represent here:
x-variable: the number of hours Sam works at the airporty variable: the amount in dollars that Sam has after paying back Daniel12: amount in dollars that Sam earns per hour.40: the amount in dollars Sam owes DanielHow to solve for the equation.The equation of this form y = 12x-40
The variable y has been said to be the amount sam has after Daniel has been paid.
X is the amount that has to be multiplied by what he earns in dollars by the hour.
40 dollars is the amount that he owes which is going to be subtracted from what he earns by the hour.
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this is my last question i swear pls help
Answer:
To find a
sin 30=a/6in
1/2=a/6in
2a=6in
a=6in/2
a=3in
To find b
cos 30=b/6in
/3/2=b/6in
2b=/3*6in
b=2/3(two radical three)
I don't get the radical sign so I use / sign on the last 3 steps on the second
Explain how to solve a system of equations using the addition method. Use 3x - 4y=12 and 2x+y=8 to illustrate.
The solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equations:
3x - 4y=12 and
2x+y=8
Multiplu by 4 on both side in equation 2x+y=8
8x + 4y = 32
Add the equaton 8x + 4y = 32 and 3x - 4y=12
3x - 4y=12
8x + 4y = 32
11x = 44
x = 4
Similarly, we can find the value of y:
y = 0
Thus, the solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0
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50 POINTS
ANSWER ONLY IF YOU KNOW OR ELSE YOUR GETTING REPORTED
If you are given a circle with center C, how do you locate the vertices of a square inscribed in circle C.
The vertices of an inscribed square of a circle are located on the circumference and on perpendicular diameters
How can the vertices of the square be located?The vertices of a square inscribed in a circle can be located as follows;
Draw a diameter of the circle (a line passing through the center and reaches opposite sides of the circle Draw a second diameter, perpendicular to the above first drawn diameter of the circleJoin the points of intersection of the two lines to complete the drawing of an inscribed square of the circleThe points where the two diameters meet are the vertices of the squareLearn more about geometric construction here: https://brainly.com/question/4062148
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The length of a rectangle is 3 meters and the width is 14 meters. What is the perimeter of the rectangle? Do not include units in your answer.
HELP ASAP the proportion a is to b as w is to x can correctly be expressed as
Answer:
a is to b,
a : b
w is to x,
w : x
a is to b as w is to x,
a : b : : w : x
In fraction form,
a/b = w/x
2. Anthropological perspectives on racial types and human physical variation. Besides, discuss the history of racial types and Anthropologists conclusion about human race.
In ancient civilization, the individuals with varying physical appearance were fill member of the society by adopting the cultural norms.
What is physical variation?It should be noted that the physical variation means the range of values for the mental and physical characteristics of human beings.
Classical variations invested the most importance in tribal affiliation rather than the physical appearance.
Also, societies still equate physical characteristics like eye and hair color.
Anthropologists conclusion about human race is that there are no human biological races.
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How many Squares are there ?
Answer:
6
Step-by-step explanation:
most of them are rectangles
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} -3x+3y=9 \\\\ 2x-7y=-14 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
−3x+3y=9
2x−7y=−14
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
x= -1\dfrac25, y=2\dfrac35x=−1
5
2
,y=2
5
3
x, equals, minus, 1, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 2, start fraction, 3, divided by, 5, end fraction
(Choice B)
B
x= -1\dfrac25, y=1\dfrac35x=−1
5
2
,y=1
5
3
x, equals, minus, 1, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 1, start fraction, 3, divided by, 5, end fraction
(Choice C)
C
x= -2\dfrac25, y=2\dfrac35x=−2
5
2
,y=2
5
3
x, equals, minus, 2, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 2, start fraction, 3, divided by, 5, end fraction
(Choice D)
D
x= -2\dfrac25, y=1\dfrac35x=−2
5
2
,y=1
5
3
x, equals, minus, 2, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 1, start fraction, 3, divided by, 5, end fraction
The solution to the system of equations is x = -1.4 and y = 1.6
How to estimate the solution?The system of equations is given as:
-3x + 3y = 9
2x - 7y = -14
Divide the first equation by 3
-x + y = 3
Make y the subject
y = 3 + x
Substitute y = 3 + x in 2x - 7y = -14
2x - 7(3 + x) = -14
Expand
2x - 21 - 7x = -14
Evaluate the like terms
-5x = 7
Divide by -5
x = -1.4
Substitute x = -1.4 in y = 3 + x
y = 3 - 1.4
Evaluate
y = 1.6
Hence, the solution to the system of equations is x = -1.4 and y = 1.6
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Answer:
Question:
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
⎪y=−2x−5
⎨y=2x−2
ANSWER:
CORRECT (SELECTED)
x= -3/4
y= -3 1/2
what fraction is 40cm of 2cm
2/40 = 1/20.
We are able to simplify by dividing 2 and 40 by the greatest common factor (GCF), which was 2. We know this because 2 and 40 can be divided by 2.
2cm is 1/20th of 40cm.
Leigh earned the following score from the judges for her balance bean routine. 9.20 9.30 9.20 9.30 9.20 9.00. Q2 cross off the lower score and the highest score
Answer: I am not so sure but I think it’s asking for the median so that would be ANSWER 9.2
Step-by-step explanation:
Whats the correct answer answer asap for brainlist
Answer:
The Crusades were a series of religious wars that took place in the 1000s ADStep-by-step explanation:
The Crusades were a series of religious wars initiated, supported, and sometimes directed by the Latin Church in the medieval period. The best known of these Crusades are those to the Holy Land in the period between 1095 and 1291 that were intended to recover Jerusalem and its surrounding area from Islamic rule.
50 POINTS!!! Find the geometric probabilty of landing in the shaded area of the picture. The small circle has a diamter of 6 meters and the larger circle has a diameter of 54 meters. Show and explain all work.
Using the areas of the circles, the probability of landing in the shaded area of the picture is of 1/81.
What is the area of a circle?The area of a circle of diameter d is given as follows:
[tex]A = 0.25\pi d^2[/tex].
For the smaller circle, the diameter is d = 6, hence the area is:
[tex]A_s = 0.25\pi \times 6^2 = 9\pi[/tex]
For the larger circle, the diameter is d = 54, hence the area is:
[tex]A_l = 0.25\pi \times 54^2 = 729\pi[/tex]
Hence the probability(desired area divided by total area) is:
[tex]p = \frac{9\pi}{729\pi} = \frac{1}{81}[/tex].
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Given a normally distributed data set with the mean = 88 and the standard deviation = 6, according to the empirical rule, what percent of the data points are below 100?
According to the empirical rule, the percent of the data points that are below 100 is; 95.44%
How to use Empirical Rule in Statistics?We are given;
Mean; μ = 88
Standard deviation; σ = 6
Sample mean; x' = 100
Formula for z-score is;
z = (x' - μ)/σ
z = (100 - 88)/6
z = 2
Now, from the empirical rule of normal distribution graph attached, we see that at z = 2, the percentage is 95.44%. However, we want to find the percentage that lie below 100. Thus, this is 95.44%
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The fifth-grade teachers at Washington High School are decorating bulletin boards to get
ready for the new school year. They have 4 large bulletin boards that each need 9 yards of
border. There is also a small bulletin board that only needs 12 feet of border. If border is sold
in 40-foot rolls, how many rolls will the teachers use?
The teacher will use 3 rolls only to have perfect measurements.
1 yard = 3 feet
4 large bulletin boards are there each needing 9 yards of border.
That means 4 large bulletin boards in total need
9×4 yards of border
= 36 yards of border
= 108 feet of border
Also, there is a small bulletin board that only needs 12 feet border
Hence, in total there is a need for
108 + 12 = 120 feet border.
The border is sold in 40-foot rolls.
Hence, there is a need for 120/40 rolls
i.e. 3 rolls
Hence, the teacher will use 3 rolls only.
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Answer:
The answer is 3
Step-by-step explanation:
Which numbers should replace the question marks?
The first missing number in the sequence is 35, and the last missing number is 77.
Next number of the given sequenceThe two missing numbers in the given sequence is calculated as follows;
= ? 49 63 ?
The given sequence is factor 7 which increases by 2
= 7 x 5 7 x 7 7 x 9 7 x 11
= 35 49 63 77
Thus, the first missing number in the sequence is 35, and the last missing number is 77.
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The sequence's initial missing number is 35, and its last missing number is 77.
The following number in the list is
The two missing numbers are determined as follows for the given sequence:
= ? 49 63 ?
The sequence is factor 7, which rises by 2 in the specified order.
= 7 x 5 7 x 7 7 x 9 7 x 11
= 35 49 63 77
Thus, the first missing number in the sequence is 35, and the last missing number is 77.
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(f) 3x+0.25x+0.10(2x)+0.05 (x+3)=24.65
Answer:
x=7
Step-by-step explanation:
3x + 0,25x + 0,10 (2x) +0,05 (x + 3) = 24,65
<=> 3x+0,25x+0,2x+0,05x+0,15=24,65
<=> 3,5x=24,5
<=> x=7
What is the product of the polynomials below?
(5x²-x-3)(2x+6)
OA. 10x² +28x² +12x+3
OB. 10x³ +28x2² -12x-18
OC. 10x²+28x²-12x-3
OD. 10x² +28x² + 12x+18
Answer: B
Step-by-step explanation:
[tex](5x^2 -x-3)(2x+6)\\\\=2x(5x^2 - x-3)+6(5x^2 - x-3)\\\\=10x^3 - 2x^2 - 6x+30x^2 - 6x-18\\\\=\boxed{10x^3 +28x^2 - 12x-18}[/tex]
What is this expression in simplified form?
Answer:
A
Step-by-step explanation:
What are the values of x and y?
Answer:
its D hope this helps
Step-by-step explanation:
pls mark brainliest
What linear function represents the sequence 8,3,-2,-7
The slope indicates initial conditions.
O True
O False
The answer is: True
[tex] \\ \\ \\ [/tex]
What numbers can u add to make 8243
Answer:
puede ser su raiz que seria 90.79
Step-by-step explanation: