Answer:
Width = 6
Length = 7
Step-by-step explanation:
Consecutive integers: x and x+1
2x + 2(x+1) = 26
2x +2x + 2 = 26
4x = 26 - 2
x = 24/4
x = 6
A city is interested in building a parking garage in a certain area. Three hundred randomly selected residents from this area were asked, "Do you support the city's decision to build a parking garage in your area?" Of the 300 residents interviewed, 203 said no, 7 said yes, and 90 had no opinion. A large-sample z-confidence interval, p ± z * square root of p hat times 1 minus p hat over n, was constructed from these data to estimate the proportion of the residents who support building a parking garage in a certain area. Which of the following statements is correct for this confidence interval?
This confidence interval is valid because a sample size of more than 30 was used.
This confidence interval is not valid because the quantity np is too small.
This confidence interval is valid because each area resident was asked the same question.
The confidence interval is valid because no conditions are required for constructing a large-sample confidence interval for a proportion.
This confidence interval is not valid because "no opinion" was included as a response category for the question.
Answer:
This confidence interval is not valid because the quantity np is too small.
Step-by-step explanation:
300(7/300)= 7<10
The measure of the length and width of the rectangle is given as 135 feet and 92 feet respectively.
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
Here, we have,
to determine the dimensions
From the information given, we have the following proofs;
Width, w = x+15
Length, l = 2(x+15) - 49
Length, l = 2x + 30 - 49
Length = 2x - 19
The formula for perimeter of a rectangle is given as;
Perimeter = 2( length + width)
Substitute the expressions into the formula
Perimeter = 2 ( x+ 15 + 2x - 19 )
Perimeter = 2 (3x - 4)
Perimeter = 6x - 8
We have that the area is 162 more than 27 times the perimeter, which is Area = 27 (perimeter )+ 163
Area = 27(6x-8) + 162
Expand the bracket
Area= 162x - 216 + 162
Area = 162x - 54
But we know that
Area = length × width
Substitute the expressions
Area = (x+15)(2x-19)
Area = 2x² - 19x +30x - 285
Area = 2x² + 11x - 285
Equate the two formulas for area
162x - 54 = 2x² +11x - 285
Collect like terms
2x² + 11x - 285 - 162x + 54 = 0
2x² - 151x - 231 = 0
Solve the quadratic equation
(2x + 3)(x-77) = 0
Let's solve for x
x - 77 = 0
x = 77
The expression for the width;
Width = x+15
Width = 77 + 15
Width = 92 feet
The expression for the length
Length = 2(x+15) - 49
Length = 2 ( 77 + 15) - 49
Length = 154 + 30 - 49
Length = 184 - 49
Length = 135 feet
Thus, the measure of the length and width of the rectangle is given as 135 feet and 92 feet respectively.
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Solve x + 20 = 24.
The solution is x =
Answer:
4
Step-by-step explanation:
24 - 20 = 4
Find the median and mean of the data set below:
41,26,38,29
Answer:
Median: 33.5
Mean: 33.5
Step-by-step explanation:
So first arrange em from least to greatest
26, 29, 38, 41
Now to find the median find the middle number which it has none, do the last 2 numbers and find the mean of those 2 numbers
29+38= 67
67/2= 33.5
Mean is to just add up everything and divide by the amount of number there is which is bascially average.
26+29+38+41= 134
134/4= 33.5
Answer:
Median: 33.5
Mean: 33.5
Step-by-step explanation:
Median is the the middle number in a set of numbers, when they are listed from least to greatest. If there is no middle number, you take the 2 numbers closest to the middle, add them up, then divide them by 2.
List the set of numbers from least to greatest, 26, 29, 38, 41. Since there is no middle number, take the 2 numbers closest to the middle, 29, and 38. Divide the sum by 2, so 67 divided by 2 is 33.5.Mean is all numbers in a set of numbers divided by the number of numbers. 41+26+38+29=134
Since there are 4 numbers, divide 134 by 4, to get 33.5.How do I sort them because it doesn’t quite make sense to me
Answer:
can't see image
Step-by-step explanation:
Solve for the missing value.
58
i think it is 58 degrees
If c is a positive number, how many solutions does √x = c have? Explain.
Answer:
varied
square root of number never result negative number
Step-by-step explanation:
There will only be one real solution.
If [tex]x[/tex] is a real number, the square root function [tex]\sqrt x[/tex] will only have real solutions when [tex]x\ge0[/tex].
For [tex]x<0[/tex], we get imaginary solutions.
Also, when [tex]\sqrt x> 0[/tex], [tex]x>0[/tex]
In other words, when the square root of [tex]x[/tex] is a positive real number, [tex]x[/tex] will be a unique positive number.
We can see this when trying to solve the equation given in the question
So, the equation
[tex]\sqrt x=c[/tex]
where [tex]c>0[/tex], when solved, will give
[tex]\sqrt x=c\\(\sqrt x)^2=c^2\\x=c^2[/tex]
We will have a unique solution because squaring a positive real number gives a single result.
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A 7-meter by 7-meter square is reduced so that each side is half as long as the original.
a. Describe the new square. (Side length)
b. Write the ratio of the perimeters in the order New:Original.
c. Write the ratio of the areas in the order New:Original.
Answer:
Step-by-step explanation:
7m ÷ 2 = 3.5mPart A: New square is 3.5-meter by 3.5-meterThe original square's perimeter is 7x4=28-meter.The new square's perimeter is 3.5x4=12-meterPart B: The ratio is 12:28 or 3:7The original square's area is 7²=49 meter²The new square's area is 3.5²=12.25 meter²Part C: The ratio is 49:12.25The radius of a circle is 1 yard. What is the circle's circumference?
r=1 yd
Use 3.14 for .
The circumference of the circle is 6.28 yards.
What is circumference of the circle?"It is the length of the boundary of the circle."
Formula to calculate the circumference of the circle:C = 2 × π × r, where 'r' is the radius of the circle.
For given example,
r = 1 yd.
π = 3.14
Using the formula for the circumference of circle,
⇒ C = 2 × π × r
⇒ C = 2 × 3.14 × 1
⇒ C = 6.28 yd.
Therefore, the circumference of the circle is 6.28 yards.
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PLEASE HELP ME 20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
by using formula (a+b)^2=a^2+2ab+b^2
in these two we have to just open the formula
(3x+2y)^2
=(3x)^2+2(3x)(2y)+(2y)^2
=9x^2+12xy+4y^2
(3y+2x)^2
=(3y)^2+2(3y)(2x)+(2x)^2
=9y^2+12xy+4x^2
Karla made a model of her grandfather's fishing boat using a scale where 2 inches represents 3 feet. Her grandfather's actual boat is 28 feet long. What is the length of Karla's model boat?
the answer is 3 1\9. thats the lentgh of the boat
3 1/9 this could be done on a calculator
If 192 out of 600 students at a school bought their lunch, what is the percentage of students that bought their lunch?
Answer:
32%
Step-by-step explanation:
The door has marbles in it 3/10 of the marbles are red 5/10 of the marbles are blue two tenths of the marbles are green which of these fractions is equivalent to 4/8
Answer:
5/10
Step-by-step explanation:
4/8 =1/2
5/10=1/2 so that it
what is your dream job?
My dream job is to be a pro football player for the NFL.
Answer:
a Nurse
Step-by-step explanation:
can someone help me. its hard
Answer:
complementary angles
Step-by-step explanation:
We know that complementary angles add up to 90 degrees which is andgles a and b.
By the way, can you follow me on Brainly?
Thanks!
Answer:
B. Complementary angles
Step-by-step explanation:
angle a + angle b = 90 degrees
the two angles form a right angle
two angles that add up to 90 degrees are called complementary angles
What is this pls? i have no time
Answer:
number lines of x>4 and x<-1 respectively
Step-by-step explanation:
Question 3/9
3
A cabinet has dimensions of 20 inches by 10 inches by 15 inches. A can has a radius of 1 inch and a height of 5 inches. How many cans fit into the cabinet?
help please !!
Answer:
it may be 3 im not sure
Step-by-step explanation:
Which statement accurately describes the scatterplot?
У
:.
.
A. There are two outliers.
B. There are three distinct clusters.
C. The points seem to be clustered around a line.
D. There are no outliers. .
The correct statement accurately describes the scatterplot is,
⇒ The points seem to be clustered around a line.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A scatterplot is shown in figure.
Now, By given figure, We get;
When we draw the line of equation,
⇒ The points seem to be clustered around a line.
Hence, The correct statement accurately describes the scatterplot is,
⇒ The points seem to be clustered around a line.
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You have a rectangular box with the dimensions of 4 feet x 2
feet x 1 foot. You have to get it painted red. The painting will cost
$2.50 per square foot. How much will it cost you?
Answer:120
Step-by-step explanation:
4x2x1=8, 6 sides with 2.50
A coach of a baseball team orders hats for the players on his team. Each hat costs .The shipping charge for the entire order is . There is no tax on the order. The total cost of the coach’s order is less than . Which inequality can be used to determine the greatest number of hats, , the coach orders?
Answer:
9.95h + 5 < 125
Step-by-step explanation:
You left out the numbers to solve the question, but I've already encountered this question before, so yeah.
Graph this function: Y = x + 11 (you can just tell me the coordinates)
What is the midpoint of the vertical line segment graphed below? (2, 4), (2, -9) A. (4, -5). B. (2, -5/2). C. (2, -5). D. (4, 5/2)
Answer:
B. [tex] (2, -\frac{5}{2}) [/tex]
Step-by-step explanation:
Given:
(2, 4) and (2, -9)
Required:
Midpoint of the vertical line with the above endpoints
Solution:
Apply the midpoint formula, which is:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Where,
(2, 4) = (x_1, y_1)
(2, -9) = (x_2, y_2)
Plug in the values into the equation:
[tex] M(\frac{2 + 2}{2}, \frac{4 + (-9)}{2}) [/tex]
[tex] M(\frac{4}{2}, \frac{-5}{2}) [/tex]
[tex] M(2, -\frac{5}{2}) [/tex]
240 t-shirts made in 9 hours. Round to the nearest tenth.
Answer:
240/9=26.6666666667
Rounded:
26.7
Brainlist Pls!
Which equation represents a line which is parallel to the line x+4y=-20x+4y=−20?
Answer:
y=7x+3, y=7x−6
A circular rug has a diameter of 12 feet. Part A What is the circumference, In feet, of the rug rounded to the nearest hundredth? Use 3.14 for it.
Answer:
C =37.68 ft
Step-by-step explanation:
Circumference is given by
C = pi * d where d is the diameter
C = 3.14 * 12
C =37.68 ft
HELPP PEOPLEE 24 POINTS!!! THIS IS MY 10TH TIME POSTING AND NO ONE HAS ANSWERED IT PLEASEE HELP QUICK!!!! BEFORE I HAVE A BREAKDOWN PLEASEE :’) PLEASEEE I NEED IT NOW NO LINKS NO JUST PUTTING ANSWERS TO GET THE POINTS NO BOTS I WILL REPORT !!Which of the following equations describes the line shown below? Check all
that apply.
(-5,6)
(-1,-1)
We can easily find the slope by using the slope formula when given two points: (-2,4), (1,13) -> (13-4)/(1-(-2)) = 9/3 = 3
Plugging into our point-slope form, we get y-y1 = 3(x-x1), then apply one of the points: y - 4 = 3(x+2)
Therefore B and E is right.
Evaluate the expression for the given value(s) of the variable(s). m/6 ;m = 18
Answer:
3
Step-by-step explanation:
substitute m with 18
m/6
18/6=3
Marcus got a ratio of correctly answered questions to total questions of 9 : 12 on his past
quiz. What percent of the quiz did Marcus answer incorrectly?
I NEED HELP QUICKK
Answer:
The correct answer is 30%
Write an equation for this graph. (Use / for division and * for multiplication; do not include spaces in your answer)
Answer:
The equation of the line is;
y = 4x
Step-by-step explanation:
The general equation form of a straight line is;
y = mx + b
m
is the slope and b is the y-intercept
The graph passes through the origin and that means the y -intercept is 0
To get the value of the slope, we select any point on the graph and substitute its coordinates
Let’s select point (1,4)
Substitute this;
4 = m(1) + 0
m = 4
Thus, the equation of the line is;
y = 4x
Is y=-5 linear or non linear
Answer:
No
Step-by-step explanation:
All linear functions can be written in the form y = mx + b, where m is the slope and b is the y-intercept (slope-intercept form). ... This function, y = 5/x, is a hyperbola, with a vertical asymptote at x = 0 and horizontal asymptote at y = 0
Answer:
Linear
Step-by-step explanation:
Y=-5 is linear because it has no exponents.
how do i get the answer and what is the answer? im looking for a right answer not just someone who types in the mayo mayo
Answer:
x = 51°
Step-by-step explanation:
The straight line segment has a total angle of 180°. Therefore, to find the angle inside the triangle that is next to 94°, subtract 94 from 180:
180° - 94° = 86°
That angle is almost a right angle but not quite. Now, to find x, add up the two angles inside the triangle and subtract it from 180°:
43° + 86° = 129°
180° - 129° = 51°