A group of New York City residents are surveyed about their marital status. Of the people surveyed, 160 men and 146 women are married, while 90 men and 54 women are single. Place each joint and marginal relative frequency in the correct location in the two-way table.
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Answer:
Step-by-step explanation:
same
Related Questions
Find the value of x. If necessary, write your answer in simplest radical form.
12
9
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Answer:
3√7
Step-by-step explanation:
9²+B²=12²
simplify
81+B²=144
minus the 81
B²= 63
Sam is practicing speed skating at an ice rink.The distance around the rink is 150 yards. He skated around the rink 5 times. How many feet did Sam skate
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u multiply 150*5 and then convert 750 yards to feet
Let BC=CD=12cm, and the length of arc BD=15cm. Find the area, in square centimeters, of sector BCD.
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Answer:
option b : 90 sq. cm
Step-by-step explanation:
1) Area of circle with radius = 12cm
Area = π r^2
= 3.14 * (12) (12)
= 3.14 * 144
= approx 452.4
2) Circumference of circle with radius = 12cm
Circumference = 2πr
= 2 * 3.14 * 12
= approx 75 .4
3) Arc length = 15cm ......(given)
[tex] \frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference} [/tex]
[tex] \frac{area \: of \: sector}{452.4} = \frac{15}{75.4} [/tex]
[tex]area \: of \: sector \: = \frac{15 \times 452.4}{75.4} [/tex]
[tex] = \frac{6786}{75.4} [/tex]
[tex] = 90 {cm}^{2} [/tex]
What are the dimensions of the rectangle shown on the coordinate plane?The base is 5 units and the height is 3 units.The base is 4 units and the height is 7 units.The base is 7 units and the height is 5 units.The base is 7 units and the height is 3 units.
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Answer:
Identify the radius and the center of a circle whose equation is (x – 5)² + y² = 81.
Step-by-step explanation:
The radius of the circle is
⇒ 9 units.
The center of the circle is at (
⇒ 5,
⇒ 0).
which polygon matches this set of ordered pairs?
A (1,3),B(1,9),c(4,9),d(4,3)
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Answer:
B
Step-by-step explanation:
The x-intercept is the point on the x-axis where the line crosses it. The
y-coordinate of the line's x-intercept is always zero. The x-coordinate of the
x-intercept is the number where it crosses the x-axis. A line with an x-
intercept of (5,0) crosses the x-axis at the number 5. A line with an x-
intercept of (-5,0) crosses the x-axis at -5.
Which of these coordinates could be a line's x-intercept?
A
(3,1)
B
(0,-12)
С
(-5,4)
(-7,0)
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Answer:
D
Step-by-step explanation:
Your neighbor's are building a dog pen in the shape of a right triangle. The legs of the triangular pen measures 9 meters and 12 meters. Find the perimeter of the enclosed space
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Name the postulate, if possible, that makes the triangles congruent. *
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Answer:
answer is ASA
Step-by-step explanation:
two triangles are congruent by angle side angle theorem.
Find the value of the variable. Round decimal to nearest tenth if necessary.
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Given:
In a right angle triangle,
Length of legs are x and 7.
Length of hypotenuse = y
Measure of angle between leg 7 and hypotenuse = 33 degrees.
To find:
The value of x and y.
Solution:
In a right angle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan (33^\circ)=\dfrac{x}{7}[/tex]
[tex]7\times \tan (33^\circ)=x[/tex]
[tex]7\times 0.6494=x[/tex]
[tex]4.5458=x[/tex]
Approximate the value to the nearest tenth.
[tex]x\approx 4.5[/tex]
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos (33^\circ)=\dfrac{7}{y}[/tex]
[tex]y=\dfrac{7}{\cos (33^\circ)}[/tex]
[tex]y=\dfrac{7}{0.83867}[/tex]
[tex]y=8.34655[/tex]
Approximate the value to the nearest tenth.
[tex]y\approx 8.3[/tex]
Therefore, the correct option is D.
Tell whether the triangles are similar.
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Answer:
No.
Step-by-step explanation:
In similar triangles, all the angles are congruent.
b = 180 - 90 - 43 = 47
c = 180 - 90 - 48 = 42
1 set of angles is 90, 43, and 47
And the other is 90, 48, and 42.
Meaning the triangles are not similar.
What is the length of a 50-inch TV that has a width of 27 inches?
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Answer:
42.08inches
Step-by-step explanation:
Given data
SIze of TV= 50 inch
Width= 27inches
Length= ??
Applying Pythagoras theorem
z^2= x^2+y^2
50^2= x^2+27^2
square root both sides
50^2= x^2+27^2
2500= x^2+ 729
2500-729=x^2
1771=x^2
x= √1771
x= 42.08
Hence the lenght is 42.08inches
A team of 5 bricklayers and 1 electrician is working at a construction site. The team
finishes the job and is paid. The bricklayers receive $500 each, and the electrician
receives $100 more than the average salary of the entire team. How many dollars does
the electrician get?
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Answer:
600
Step-by-step explanation:
If the "entire team means just bricklayers" then....
(5)500/5=500
500+100=600
Answer:
600
Step-by-step explanation:
HELPP!!! ALMOST OUT OF TIME
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Answer:
option 2 is correct
Step-by-step explanation:
Another 2 btc please
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-6, 6) and (3, -6)
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Answer:
[tex]\displaystyle d = 15[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-6, 6)
Point (3, -6)
Step 2: Identify
(-6, 6) → x₁ = -6, y₁ = 6
(3, -6) → x₂ = 3, y₂ = -6
Step 3: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(3--6)^2+(-6-6)^2}[/tex][√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(9)^2+(-12)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+144}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{225}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 15[/tex]g if we want to calculate a confidence interval of the difference of two proportions what is the standard error (do not pool for this answer)
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Answer:
The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The standard error is:
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For the difference of proportions:
For proportion 1, the standard error is:
[tex]s_1 = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}}[/tex]
For proportion 2, the standard error is:
[tex]s_2 = \sqrt{\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]
For the difference:
The standard error is the square root of the sum of the squares of each separate standard error. So
[tex]s = \sqrt{(\sqrt{\frac{\pi_1(1-\pi_1)}{n_1}})+(\sqrt{\frac{\pi_2(1-\pi_2)}{n_2}})^2} = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]
The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.
What is the equation of the line that is parallel to y minus 3 x = 2 and that passes through (6,1)?
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Answer:
y = 3x - 17
Step-by-step explanation:
y - 3x = 2
y = 3x + 2
Parallel slope (m) = 3
Passes through (6, 1)
Slope-intercept:
y - y1 = m(x - x1)
y - 1 = 3(x - 6)
y - 1 = 3x - 18
y = 3x - 17
Use 3.14 as an approximation of π. Which is the area of a circle with a radius of 6cm?
A. 18.84 cm^2
B. 28.26 cm^2
C. 37.68 cm^2
D. 113.04 cm^2
E. About 355 cm^2
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Answer:
D - 113.04cm²
Step-by-step explanation:
πr² (formula for area of a circle)
3.14×6²
= 113.04
The table shows the number of gallons of water
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Answer:
Hello! answer: 360
Step-by-step explanation:
The rule is multiply by 30 I found this out by using the info shown in the table like...
120 ÷ 4 = 30 90 ÷ 30 = 3 60 ÷ 30 = 2 and so on matching up with the chart! so what I did was 12 × 30 to get the final answer to follow the pattern so... 12 × 30 = 360 therefore the answer is 360 HOPE THAT HELPS!
What is an equation of the line that passes through the points (-2,7) and (1, -8)?
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Answer:
y=-5x-3
Step-by-step explanation:
You need to plug both of them into the equation
y=mx+b
This would give us
7=m(-2)+b
-8=m+b
15=-3m
m=-5
y=-5x-3
Answer:
y=-5x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-7)/(1-(-2))
m=-15/(1+2)
m=-15/3
m=-5
y-y1=m(x-x1)
y-7=-5(x-(-2))
y-7=-5(x+2)
y=-5x-10+7
y=-5x-3
Question 5 of 10
How many solutions over the complex number system does this polynomial
have?
2x4 – 3x3 – 24.x2 + 13x +12=0
Enter your answer as an integer.
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Answer:
4 solutions
Step-by-step explanation:
if the equation is 2x^4 -3x^3 -24x^2 +13x +12 = 0 you look at the highest degree to find how many solutions. the degree being the highest exponent. so in this case it would be the exponent that is 4 so there should be 4 solutions.
Sove for X choose one. Pls
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2x= x+40
which simplifies down to x=40
if 7x - 9 equals 15, what is the value of 7x +1
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Answer:
25Step-by-step explanation:
First,
7x - 9 = 15
=> 7x = 15 + 9
=> 7x = 24
[tex] = > x = \frac{24}{7} [/tex]
Now putting its value in 7x + 1,
= 7x + 1
[tex] = 7 (\frac{24}{7} ) + 1[/tex]
[tex] = 7 \times \frac{24}{7} + 1[/tex]
= 24 + 1
= 25 (Ans)
Complete the blanks:
Horizontal lines have _____
slope and vertical lines have slope.
Horizontal lines have _______ equations that say __= any number.
Vertical lines have equations that say __= any number.
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Answer:
Horizontal lines have __zero___
slope and vertical lines have undefined slope.
Horizontal lines have ___linear____ equations that say _y_= any number.
Vertical lines have equations that say _x_= any number.
Answer:
To write the equation of a horizontal line, we only need to specify where it intersects with the y-axis. This will look like y=k, where k is where the line crosses the y-axis.
The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .
Step-by-step explanation:
Mark me brainliest plzzzzzzzzzzzzzzzzzzzzzz
You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 What is the probability of picking a 5 and then picking a 3?
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Answer:
1/16
Explanation:
You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16
Which polynomial function has a leading coefficient of 2, root-5 with multiplicity 3, and root 12 with multiplicity 1?
Of(x) = 2(x - 5)(x - 5)(x - 5)(x + 12)
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
O f(x) = 3(x - 5)(x - 5)(x + 12)
Of(x) = 3(x + 5)(x + 5)(x - 12)
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Answer:
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12) or Choice 2
Step-by-step explanation:
The last two answers get eliminated because their leading coefficients aren't 2. The first option is wrong because if you plug in -5 and +12 into x the function won't equal 0. So the correct answer is the Second answer: Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
Answer:
The polynomial function that has a leading coefficient of 2, a root of 5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is choice 2.
Step-by-step explanation:
A leading coefficient of 2 means that the number multiplying all the binomial would be 2, so you know it is not choices 3 and 4. A root of -5 with a multiplicity of 3 means that when you replace x with -5, three binomials will result in 0, which helps eliminate the first choice. A root of 12 with a multiplicity of 1 means that when you replace x with 12, you will have a binomial that results in 0. Using all of this information, you'll get that the polynomial that has a leading coefficient of 2, a root of -5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is [tex]f(x)=2(x+5)(x+5)(x+5)(x-12)[/tex].
Hence, Solve the equation
X Х
1- x
4x=
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7k-6,2k+14 solve for K
Answers
Answer:
0.8k +14
Step-by-step explanation:
See the steps below:)
What clockwise rotation is equivalent to a 90° counterclockwise rotation?
Answers
Answer: 270°
Step-by-step explanation:
A full rotation is 360° so to find out the clockwise equivalent of a 90° counterclockwise rotation, deduct the counterclockwise rotation from 360°:
= 360 - 90
= 270°
If you rotated 90° counterclockwise, you would get to the same point as if you rotated 270° clockwise.
1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates
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Answer:
15 plates
Step-by-step explanation:
450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.
Answer:
15
Step-by-step explanation:
Your units are a little confused.
The mass (total ) is 450 mg
1 plate weighs 30 mg
1 plate / 30 mg = x plates / 450 mg Cross multiply
1 * 450 = 30x Divide by 30
450 / 30 = x
x = 15
There are 15 gold plates.
The sum of two numbers is -47 and their difference is one. Find the numbers. Separate with a comma.
Answers
Answer:
-23, -24
Step-by-step explanation:
Adding negative numbers gets you another negative number. Therefore the numbers must be -23 and -24.