Answer: 493,700,000
Step-by-step explanation:
Find the slope of the line.
Suppose 420 randomly selected people are surveyed to determine whether or not they play sports. The sample proportion for successes is determined to be p′=0.393 and the sample proportion for failures is q′=0.607. What is the 95% confidence interval for the proportion of the population who play sports? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 Use the table of common z-scores above. Round the final answer to three decimal places.
Answer:
420 funny number
Step-by-step explanation:
Gina Wilson unit 4 homework 10 parallel and perpendicular lines PLEASE HELP
Answer/Step-by-step Explanation:
To determine if segment AB and CD are parallel, perpendicular, or neither, calculate the slope of each.
✍️If the slope of AB and CD are the same value, then they are parallel.✅
✍️If the slope of one is the negative reciprocal of the other, then they are perpendicular.☑️
✍️If their slopes are different, or the slope of one is not the negative reciprocal of the other, then they are neither.❌
1. AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 13}{0 -(-2)} = \frac{-10}{2} = -5 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{10 -(-5)} = \frac{3}{15} = \frac{1}{5} [/tex].
☑️-5 is the negative reciprocal of ⅕, therefore segments AB and CD are perpendicular
2. AB formed by (3, 7) and (-6, 1)
CD formed by (-6, -5) and (0, -1)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{-6 - 3} = \frac{-6}{-9} = \frac{2}{3} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 -(-5)}{0 -(-6)} = \frac{4}{6} = \frac{2}{3} [/tex].
✅Segment AB and CD have the same slope value of ⅔. Therefore, they are parallel.
3. AB formed by (-6, 2) and (-2, 4)
CD formed by (-1, 11) and (5, -7)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{-2 -(-6)} = \frac{2}{4} = \frac{1}{2} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - 11}{5 -(-1)} = \frac{-18}{6} = -3 [/tex].
❌The slopes of Segments AB and CD are not the same (½ and -3). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
4. AB formed by (-3, 8) and (2, 3)
CD formed by (-4, 6) and (-8, 2)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 8}{2 -(-3)} = \frac{-5}{5} = -1 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 6}{-8 -(-4)} = \frac{-4}{-4} = 1 [/tex].
❌The slopes of Segments AB and CD are not the same (1 and -1). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
5. AB formed by (-8, -1) and (-4, 2)
CD formed by (0, -3) and (12, 6)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 -(-1)}{-4 -(-8)} = \frac{3}{4} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 -(-3)}{12 - 0} = \frac{9}{12} = \frac{3}{4} [/tex].
✅Segment AB and CD have the same slope value of ¾. Therefore, they are parallel.
6. AB formed by (6, 5) and (3, -1)
CD formed by (2, -5) and (-4, 7)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 5}{3 - 6} = \frac{-6}{-3} = 2 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-5)}{-4 - 2} = \frac{12}{-6} = -2 [/tex].
❌The slopes of Segments AB and CD are not the same (2 and -2). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
To determine if the given equations are parallel, perpendicular, or neither, ensure both equations are in the slope-intercept form, y = mx + b, where m is the slope.
7. 3x + 2y = 6 and y = -³/2x + 5
Rewrite the first equation in slope-intercept form
3x + 2y = 6
2y = -3x + 6
y = -3x/2 + 6/2
y = -³/2x + 3
The slope of the first equation is -³/2.
The slope of the second equation is -³/2.
✅Both equations have the same slope value of -³/2. Therefore, they are parallel.
8. 3y = 4x + 15 and 9x + 12y = 12
Rewrite both equations in slope-intercept form.
3y = 4x + 15
y = 4x/3 + 15/3
y = ⁴/3x + 5
And
9x + 12y = 12
12y = -9x + 12
y = -9x/12 + 12/12
y = -¾x + 1
The slope of the first equation is ⁴/3.
The slope of the second equation is -¾..
☑️-¾ is the negative reciprocal of ⁴/3. Therefore both AB equations are perpendicular.
9. 8x - 2y = 4 and x + 4y = -12
Rewrite both equations in slope-intercept form.
8x - 2y = 4
-2y = -8x + 4
y = -8x/-2 + 4/-2
y = 4x - 2
And
x + 4y = -12
4y = -x - 12
y = -x/4 - 12/4
y = -¼x - 3
The slope of the first equation is 4.
The slope of the second equation is -¼..
☑️-¼ is the negative reciprocal of 4. Therefore both AB equations are perpendicular.
10. 3x + 2y = 10 and 2x + 3y = -3
Rewrite both equations in slope-intercept form.
3x + 2y = 10
2y = -3x + 10
y = -3x/2 + 10/2
y = -³/2x + 5
And
2x + 3y = -3
3y = -2x - 3
y = -⅔x - 1
The slope of the first equation is -³/2.
The slope of the second equation is -⅔.
❌The slopes of the first equation and second equation are not the same (-³/2 and -⅔). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
11. -4y = -2x + 8 and 3x - 6y = 6
Rewrite both equations in slope-intercept form.
-4y = -2x + 8
y = -2x/-4 + 8/-4
y = ½x - 2
And
3x - 6y = 6
-6y = -3x + 6
y = -3x/-6 + 6/-6
y = ½x - 1
The slope of the first equation is ½.
The slope of the second equation is ½.
✅Both equations have the same slope value of ½. Therefore, they are parallel.
12. y = 8 and x = -1
The first equation is a horizontal line. The slope of am horizontal line is always zero.
The second equation is a vertical line. The slope of a vertical line is undefined.
❌Therefore, they are neither parallel nor perpendicular.
Please answer this correctly without making mistakes
Answer:
The 2-yard pièce of cotton cloth for $13.26
Step-by-step explanation:
2 yards is 6 feet then it would be $2.21 per foot.
The 17 foot piece would cost $3.29 per foot.
To answer this question, you need to determine which one has a lower price per unit. In this scenario, you must divide the price of the cloths by their length in feet.
For the 2-yard piece of cotton cloth, first convert the length to feet. There are three feet in a yard, so the cloth is 6 feet. Then divide:
13.26/6=2.21
For the 17-foot piece of cotton cloth, simply divide:
55.93/17=3.29
The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.
Hope this helps!!
giving 30 points &’ brainliest to whoever can help w there two questions!!
Answer:
binomial and not a polynomial
what is 2/3 divdided by 1/6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
PLEASE I NEED HELPP !!
Which situation leads to a unit cost of $8 per softball ticket?
A. $6 paid for 2 softball tickets
B. $6 paid for 6 softball tickets
C. 6 softball tickets for $24
D. 9 softball tickets for $72
Answer:
D 9 softball tickets for $72
Step-by-step explanation:
72/9=8
Answer:
The answer is D.
Step-by-step explanation:
You divide 72 by 9. Hope this helps!!! Please mark me brainliest and have a good rest of your day!!!
Please help
What is 1. answer abc
What is 2. abcd
What is E and F
Also what is x
Help
Answer:
Step-by-step explanation:
1 × a = a
a² = a*a ; a³ = a*a*a .....
[tex](\frac{a}{b}) ^{n} = \frac{a^{n} }{b^{n} }[/tex]
(1).
(a). [tex]7^{5}[/tex]
(b). [tex](\frac{1}{7}) ^{6}[/tex] = [tex]\frac{1}{7^{6} }[/tex]
(c). [tex](9.3)^{9}[/tex]
(2).
(e). [tex](\frac{1}{2} )^{4} =\frac{1}{2^{4} }[/tex] = [tex]\frac{1}{2*2*2*2}[/tex] = [tex]\frac{1}{16}[/tex]
(f). [tex](\frac{1}{3} )^{2}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{9}[/tex]
(3).
x² = 30² + 16² = 900 + 256 = 1156 = 34² ⇒ x = 34 units
When twice a number is decreased by 4, the result is 236. What
is the number?
Raju bought a book for Rs.35.65. He gave Rs.50 to the shopkeeper. How much money did he get back from the shopkeeper?
I Hope this helps u out
find the value of x
help
Answer:
6.7
Step-by-step explanation:
This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.
Soh in Soh cah toa
So sin(42)=x/10
10 times sin(42)=x
Evaluate using a calculator=6.69130606 and so on
Rounded to the nearest tenth is 6.7
So the answer is 6.7
Select the correct answer.
Identify the end behavior and the zeros of function h.
h(x) = –13 – 9x2 + 41 +96
Based on these key features, which statement is true about the graph representing function h?
A. The graph is negative on the intervals (-00, -8) and (-4, 3).
B. The graph is positive on the intervals (-8, –4) and (3, 0).
C. The graph is positive on the intervals (-0, —8)and (-4, 3).
D. The graph is negative on the intervals (-3, 4) and (8,00).
Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)
Step-by-step explanation: I guessed on my test and got it right. PLATO
2 times what equals 2/3
Answer: 1/3
Step-by-step explanation:
A consistent dependent system of equations is a system with
Answer:
Systems of equations can be classified by the number of solutions. , . , . If a consistent system has an infinite number of solutions, it is dependent.
4d + 3 - d + c Simplified Answer-Type Answer Here,
Please help 30 points plus brainlyist who does first
Determine which expressions can be simplified further, and which cannot. Sort the expressions into the correct
category
2x + 3y
Can Be Simplified
Cannot Be Simplified
x + x
4r +
7y + 1
4y + 4x
y + 2y
Answer:
Step-by-step explanation:
expresion can be simplified is they have like terms such as
x+x=2x
y+2y=3y
expresions can NOT be simplified if they have difrerent variables or just one number suchh as
2x+3y
7y+1
4y+4x
I do not know what is 4r+
Answer:
can - y +2y
9x+6x
4x+x
can't 4y+4x
7y+1
2x+3y
Can someone help me out? This is due today and I’m bad at math
Answer:
i use slope calculators for these type of problems :)
Step-by-step explanation:
Line 1. Vertical. Undefined slope.
Line 2. -4/3
Line 3. 4/3
Line 4. Vertical. Undefined slope.
Line 5. 7/3
Line 6. -7/3
Line 7. Horizontal line. Slope 0
Line 8. Horizontal line. Slope 0
Line 9. Vertical line. Undefined slope.
Line 10. Vertical line. Undefined slope.
Line 11. Horizontal line. Slope 0
Line 12. Vertical line. Undefined slope.
These slopes can be found using the rise and run method. All vertical lines are undefined and all horizontal lines are 0.
If 1 and 2/3 cups of something fills 3/4 of a container, how many cups fill the container
Answer:
64
Step-by-step explanation:
Which is equivalent to 5+2(3x-4)=12x-11?
C. 9x=17
B. 6x=8
D. 9x=-39
Calculate the unit rate (price per box) $12 for 5 boxes
Given a function described as equation y = 3x + 4, what is y when x is 1,2, and 3
Answer:
when x=1 y=7, when x=2 y=10, when x=3 y=13
Step-by-step explanation:
A rectangle has a width of 10cm. The rectangle length is 4 times its width
Answer:
P = 100 centimeters (assuming you are asking for the perimeter)
Step-by-step explanation:
P = 2 (L + W) OR P = 2L + 2W where P equals the perimeter, L equals the length, and W equals the width.
Since the rectangle's length is 4 times its width and given we know the width is 10 centimeters, then the length is 40 centimeters. Now we can substitute these values in our formula, okay?
P = 2 (L + W)
P = 2 (40 + 10)
P = 80 + 20
P = 100 centimeters
Which expression is equivalent to 7 (x + 4)?
Answer:
7 times 5x
Step-by-step explanation:
4 plus x and x has value
Answer:
one could be (7*x) (7*4)
Step-by-step explanation:
HELP!!! this is due in 5mins...will give brainliest-
The width and length of a rectangle (in feet) are consecutive odd integers. If the length is increased by 9 feet, the area of the resulting rectangle is 80 square feet. What is the area of the original rectangle?
55
35
25
Answer:
66
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
No explanation bc due in 5 mins
Choose the equation that is true.
345 – 15 = 15 - 345
18 + 0 = 0 + 18
3 + 8 = 7 + 5
5 + 4 + 2 = 6 + 3 + 1
What is the slope of the line shown below?
Answer: The slope of the line can be determined from the gradient equation, rise (y axis)/ run (x-axis)
Hence let (-1, 8) be A and (2, -4) be B. The slope from A to B is (-4-8)/(2-(-1))= (-12)/3= -4
Hence the gradient/ slope of the line is -4.
Step-by-step explanation:
round 8.193 to the nearest hundredth
Answer:
i looked it up and nothing is showing
Step-by-step explanation:
Choose the correct description of the graph of the compound inequality (1 point)
3x + 2 > 2 and 3x less than or equal to 6.
Question 17 options:
1)
A number line with an open circle on 0, shading to the left, and a closed circle on 2, shading to the right
2)
A number line with a closed circle on 0, shading to the left, and an open circle on 2, shading to the right
3)
A number line with a closed circle on 0, an open circle on 2, and shading in between
4)
A number line with an open circle on 0, a closed circle on 2, and shading in between
ycctc4ctctctctctctctctc5ctvtv5crctc5ctv5
Let f(t)=6−2t2. Evaluate f(t+1).
Answer:
f(t+1)= -4t+2
Step-by-step explanation:
Subsitute the given vaule into the function and evaluate.
Samuel left his house at time zero and drove to the store, which is 10 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of block per minute until he got to the bank, which is 2 blocks away from the store. He stopped at the bank for 3 minutesThen he drove home at a speed of blocks every minuteMake a graph of showing the number of blocks away from home that Samuel is minutes after he leaves his house, until he gets back home.
Answer:
Attachment given answer
Step-by-step explanation:
I gave you the answer but if you have any questions let me know.