Answers:
a) The point estimate is 49%b) The margin of error is 6%==========================================================
Explanation:
The point estimate is the midpoint of the two ends. We add up the endpoints and divide by 2 to get the midpoint. We have p = 0.43 and q = 0.55, so we get the midpoint (p+q)/2 = (0.43+0.55)/2 = 0.98/2 = 0.49, then this converts to 49%. Meaning 49% is exactly at the midway point of 43% and 55%
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The margin of error is the distance from the midpoint to either endpoint. If we try to aim for 49%, but have some error, then we have an error of 55-49 = 6%, or we could say 49-43 = 6%; either way the margin of error is 6 percentage points.
The formula we can use is (q-p)/2 where p and q are the left and right endpoints of the interval. So in this case, we'd have,
(q-p)/2 = (0.55-0.43)/2 = 0.12/2 = 0.06 = 6% margin of error
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Side note: We can think of it as if 49 is the center and 6 is the radius of the circle. We want to hit the center of the circle, but we have an error of 6 (meaning that's how far we could go in either direction).
solve the inequality 2(4x+1) < 3(2x-3)
Answer:
[tex] x < - \frac{11}{2} [/tex]
Step-by-step explanation:
Distribute 2 through the parentheses:
[tex]8x + 2 < 3(2x - 3)[/tex]
Distribute 3 through the parentheses:
[tex]8x + 2 < 6x - 9[/tex]
Move the variable to the left-hand side and change its sign:
[tex]8x + 2 - 6x < - 9[/tex]
Move the constant to the right-hand side and change its sign:
[tex]8x - 6x < - 9 - 2[/tex]
Collect like terms:
[tex]2x < - 9 - 2[/tex]
Calculate the difference:
[tex]2x < - 11[/tex]
Divide both sides of the inequality by 2:
[tex]x < - \frac{11}{2} [/tex]
Which equation has the same solutions as 2x2 + x - 3=0?
(1) (2x - 1)(x + 3)=0
(2) (2x + 1)(x - 3)= 0
(3) (2x - 3)(x+1)=0
(4) (2x + 3)(x - 1)=0
Answer:
I think it’s (4)
Step-by-step explanation:
Not sure but thats the only close answer I got
there are 13 fiction books, 9 mysteries and 11 romances. two books are randomly taken. 1) what is the probability that the second book taken is a mystery? 2) what is the probability that the second book is a mystery knowing that the first one was a romance? 3) what is the probability that the first one is a fiction knowing that the second one is a mystery?
For Matt’s birthday, he can take up to five friends with him to the movies. The cost per person for the movie and snacks is $21.75. Which of the following is a reasonable range for this situation?
Answer:
{21.75, 43.50, 65.25,87,108.75,130.50}
Step-by-step explanation:
pliss solve and give explaniaton
Answer:
300in²
Step-by-step explanation:
l= 12
w= 9
h= 2
Substitute into the equation
S= 2(lw+ wh + hl)
S= 2( 12x9 + 9x2+ 12x2)
S= 2( 108+ 18 + 24)
S= 2( 150)
S= 300
38 3 If p - q is true, thenq - p is false.
Answer:
yess it is by the benefactor
Step-by-step explanation:
Debbie used 40% of her flour for cookies. She started with 24 cups; how many cups did Debbie use?
the other asnwers dont make any sense. but just take my word for it.
(-3,4),(2,4),(5,0),(2,-4),(-3,-4),(-6,0)
Find the perimeter of the polygon with the given coordinates.
Answer:
Step-by-step explanation:
Using the distance formula, d = (x2 - x1)2 + (y2 - y1)2 we can find that each side is 5 units and there are 6 sides. The perimeter is 5×6 = 30 units.
Pleas help!
WILL THANKS YOUR ACCONT and MARK BRAINLIEST
describe the image of a shape after a dilation of a scale factor of 1/4
Answer:
the picture go to be 1/4 more smaler
Step-by-step explanation:
slove
[tex]4 \div 2(5 - 8)[/tex]
Answer:
Hello! answer: -6
4 ÷ 2 = 2 5 - 8 = -3
2(-3) = -6 therefore the answer is -6 hope that helps!
find the volume of a cylinder with a height of 10 and a radius of 2.
125.6in(3) 502.4in(3)
Answer:
125.6 cubic inches
Step-by-step explanation:
The formula for volume of a cylinder is:
[tex]V = \pi r^2h[/tex]
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So:
[tex]\pi[/tex] × 4 × 10 = 125.6
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Have a good day :)
Help plsss anyone help plsss
Answer:
[tex]\frac{1}{70}[/tex]
Step-by-step explanation:
P(gold) = [tex]\frac{gold}{total}[/tex] = [tex]\frac{5}{350}[/tex] = [tex]\frac{1}{70}[/tex]
Abput 1/4 of fruit punch is pineapple juice. About 1/6 of the punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice
Answer:
5/12
Step-by-step explanation:
Given
Fraction of punch that is pineapple juice = 1/4
Fraction of punch that is orange = 1/6
Taking the sum;
fraction of the punch that is pineapple juice or orange juice = 1/4 + 1/6
fraction of the punch that is pineapple juice or orange juice = 3+2/12
fraction of the punch that is pineapple juice or orange juice = 5/12
Hence the fraction of the punch that is pineapple juice or orange juice is 5/12
Correctly order the steps to solve the equation below.
2(x + 5) + 3 = 4(x + 2) -11
= Use the distributive property on both sides
= "Undo" addition to isolate the variable term
= Identify and combine any like terms
= "Undo" multiplication to isolate the variable
Answer:
See belowStep-by-step explanation:
Solution
2(x + 5) + 3 = 4(x + 2) - 112x + 10 + 3 = 4x + 8 - 112x + 13 = 4x - 34x - 2x = 13 + 32x = 16x = 16/2x = 8Order of operations
= Use the distributive property on both sides= Identify and combine any like terms= "Undo" addition to isolate the variable term= "Undo" multiplication to isolate the variableSOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answer:
the third choice
Step-by-step explanation:
I haven't done those questions in a long time so I would double check. But I think its choice C because 0 has two functions, and I'm pretty sure that a number can only have 1 output, therefore C is not a function..
HELP PLEASE I WILL MARK BRAINLIEST
Answer:for points
Step-by-step explanation:
Hsjsnsns.
Please help me I’m in finals a don’t want to fail
Answer:
1, 2, 3
Step-by-step explanation:
X <= 20 means that x has to be less than OR equal to 20.
The first option is -100. That's less than 20, so this statement is true.
The second option is 10. That's also less than 20, so this statement is also true.
The third option is 20. This is equal to 20, so this is also true.
The fourth option is 21, which is greater than 20, so it's not true.
The fifth option is 45, which is greater than 20, so it's not true.
Sorry I answered so late, hope this helps even though you probably don't need it anymore.
I think it is between these two..
(No link pls <3)
slope of line is 2 comparing equation y= mx+c where m is your slope
Answer:
- 1
Step-by-step explanation:
SLOPE/Y-INTECEPT EQUATION
y = mx + b
The "b" is the slope. Any number that is not multiplied by "x" and is not "y" is the slope.
y = 2x - 1
Since the "-1" is not multiplied by "x" and is not "y", then that means it can only be the slope.
Find the volume and show work
Answer:
56.52
Step-by-step explanation:
2x3.14 for circle x 9 height
Answer:
12pi
Step-by-step explanation:
Use the equation for volume:
pi(r^2)*h/3
pi*(2^2)*(9/3)
pi*4*3
12pi
Dexter plans and records his spending. In the coordinate plane below, the x-axis represents the number of days before or after today. For example, -1 would represent yesterday. The y-axis represents the amount of money Dexter planned to spend in dollars. The points (-5, 8) and (2, 8) represent Dexter's planned spending on two separate days.
Answer:
See attachment for grid
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-5,8)[/tex]
[tex](x_2,y_2) = (2,8)[/tex]
Required
Plot the points on a grid
To do this, we make use of a graph (there are several resources to do that online).
See attachment for plot
A motorboat travels miles in hours going upstream. It travels miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current
Answer:
x = 49 mi/hr
y = 6 mi/hr
Step-by-step explanation:
A motorboat travels 258mi in 6 hours going upstream. It travels 330mi going downstream in same amount of time. What's the rate of the boat in still water and what is the rate of the current.
Let
x = the speed of the boat in still water.
y = the speed of the stream
The speed upstream is x - y
The speed downstream is x + y
Distance = rate × time
258 = (x - y)6 (1)
330 = (x + y)6 (2)
From (1)
x - y = 43 (3)
From (2)
x + y = 55 (4)
x - y = 43 (3)
x + y = 55 (4)
Add the equations to eliminate y
x + x = 43 + 55
2x = 98
x = 98/2
x = 49 mi/hr
Substitute x = 49 into (4)
x + y = 55 (4)
49 + y = 55
y = 55 - 49
y = 6 mi/hr
what is the value of the y-coordinate of point A?
Answer:
0.26
Step-by-step explanation:
A (x , y), radius of circle = 1
y/radius = y/1 = sin 15°
y = 0.26
Answer:
sin 165..........
Step-by-step explanation:
Chris has a bag of four apples. Three of the apples are red and one of them is green. He also has two
sandwiches. One of the sandwiches is ham and the other is turkey, If he reaches into both bags without looking, what is the probability that he will grab a red apple and a ham sandwich?
A. 1/8
B. 1/2
C. 3/8
D. 2/3
Answer: 3/8
Step-by-step explanation:
It’s the answer :>
Answer:
c. 3/8
Step-by-step explanation:
3/4 * 1/2 = 3/8
i multiplied both probabilities
Find the measure of the missing angle in the triangle below А B 100° 55° C
20+(5 + 7) = x - 14 I need help take your time
Answer: x = 46
Step-by-step explanation: 20 + (5 + 7) = x - 14, 20 + (12) = x - 14
Answer:
[tex]x=46[/tex]
Step-by-step explanation:
[tex]20 + (5+7)=x-14[/tex]
[tex]20+12=x-14[/tex]
[tex]32=x-14[/tex]
Take [tex]x-14[/tex] on the other side of the 'equal to' sign and 32 on the other side so that the variable remains on the right side
[tex]x-14=32\\[/tex]
[tex]x=32+14[/tex]
[tex]x=46[/tex]
Find the exact value of tan A in simplest radical form
Answer:
tan A = 1.8
Step-by-step explanation:
tan A = 14/√60 = 1.8
Factor the expression 8x + 12 using the GCF.
8x + 12 =
Answer:
4(2x+3)
Step-by-step explanation:
Because 4 is the GCF
please answer quickly
expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)
Answer: 14x^2-93xy+60y^2 Hope that helps!
Step-by-step explanation:
1. Expand by distributing terms
(20x-12y)(x-4y)-(3x-4y)(2x+3y)
2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd
20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)
3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd
20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)
4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2
5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)
6. Simplify.
And your answer would be 14x^2-93xy+60y^2
For the drawing, provide the missing lengths. x= hypotenuse y= leg
Answer:
Above picture is the solution for your question
Step-by-step explanation:
Use relation of trignometric ratio to get answer
Answer:
[tex]x = \frac{7}{ \sin(45 \degree) } \\ x = {7 \sqrt{2} } \\ [/tex]
[tex]y = \frac{7}{ \tan(45 \degree) } \\ y = 7[/tex]
[tex] {\boxed{ x = 7 \sqrt{2} }} \\ { \boxed{y = 7}}[/tex]