Answer:
2 Units wide , 6 units long
The population of a town in 1920 was 3800 people. The town's population decreased linearly, and in 1924 the population was 3640. Find a formula for P , the town's population, in terms of t , the number of years since 1920.
Answer:
Your answer
P = 1.9 t
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Step-by-step explanation:
A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The vet surveys 120 three-year-old pit bulls and finds 30 of them have tooth decay. The vet then surveys 160 three-year-old golden retrievers and finds 32 of them have tooth decay. Number the population of pit bulls and golden retrievers by 1 and 2, respectively. Calculate a 90% confidence interval for the difference in the population proportion of pit bulls and golden retrievers that have tooth decay. Which of the following is correct?
A) [-0.0492, 0.1492]
B) [-0.0332, 0.1332]
C) [0.0199. 0.0801]
D) [0.0428, 0.0572]
Answer: B) [-0.0332,0.1332]
Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.
The confidence interval for a difference in population proportion is calculated following these steps:
First, let's find population proportion for each population:
[tex]p_{1}=\frac{30}{120}=0.25[/tex]
[tex]p_{2}=\frac{32}{160}=0.2[/tex]
Second, calculate standard deviation for each proportion:
[tex]\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395[/tex]
[tex]\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316[/tex]
Now, we calculate standard error for difference:
[tex]SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}[/tex]
[tex]SE=\sqrt{0.0395^{2}+0.0316^{2}}[/tex]
SE = 0.0505
The z-score for a 90% CI is 1.645.
Then, confidence interval is
[tex]p_{1}-p_{2}[/tex] ± z-score.SE
[tex]0.25-0.2[/tex] ± [tex]1.645(0.0505)[/tex]
0.05 ± 0.0831
The limits of this interval are:
inferior: 0.05 - 0.0831 = [tex]-0.0332[/tex]
superior: 0.05 + 0.0831 = 0.1332
The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is [tex][-0.0332,0.1332][/tex].
Chloe has 85 floral beads. She uses 4 floral beads to make each bracelet. She makes as many bracelets as possible. How many floral beads will she have left?
Answer:
1 bead left over
Step-by-step explanation:
Hi!
With this it looks like you need to divide and also have a remainder.
So what I like to do is actually round down your total to an even number.
So in this case 85 would round down to the even number of 84.
Now she uses 4 per bracelet so you want to do :
84 / 4
=
21
Alright so now we have to remember we took one bead off to make the number even.
That would be one bead since 85 - 84 = 1
So she made 21 bracelets and had 1 bead left over.
I hope this helps!
If you have any questions or concerns feel free to comment or message me! :)
Can I get some help with question 12? I need to solve it while making a proof. I’ve asked at least 5 tutors for help and none of them know what to do.
Answer:
Step-by-step explanation:
Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.
Angle GEB is a right angle by given.
Angle DFC is a right angle by given.
The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.
The two triangles are similar by angle-angle-angle.
Given that a linear function goes through the points (3,2) and (5, 6) determine the slope
of the line.
Answer:
2
Step-by-step explanation:
The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.
First, find the change in y between the two points. To do this, do y2 - y1.
y2 = 6 and y1 = 2, so you have 6 - 2 = 4.
Next, find the change in x between the two points. To do this, do x2 - x1.
x2 = 5 and x1 = 3, so you have 5 - 3 = 2.
All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.
The last step is to do change in y divided by change in x, so 4 / 2 = 2.
This means that the slope of the line is 2.
if a Biro costs 12.50naira. How many biros can buy with 300 naira?
Answer:
300\12.50
Step-by-step explanation:
that will be your answer bra
In a shop, there were 4 times as many guppies as swordtails. After 23 guppies and 27 swordtails were added, there were 83 more guppies than swordtails. What was the total number of fish in the shop at first?
Answer:
145
Step-by-step explanation:
Assume the number of sword tails is x. Then the number of guppies is 4x.
After 23 guppies and 27 swordtails were added. Then guppies = 4x+ 23
swordtails = x+27
According to the relation 83 more guppies than swordtails. We can obtain:
[tex]4x + 23 = x + 27 + 83[/tex]
4x-x= 27+83-23
3x=110-23
3x=87
x=29
There are 5x fish in total at first.
5x=5*29=145
so the number of fish in the shop at first is 145
Find the value of x for this figure
Answer:
x = 101°
Step-by-step explanation:
15 + 25 + 39 + x = 180
79 + x = 180
x = 101
derive
Sinxy = x² + 2xy
Answer:
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
Step-by-step explanation:
Step(i):-
Given
sin xy = x² + 2xy ...(i)
Apply
[tex]\frac{d}{dx} UV = U^{l} V + U V^{l}[/tex]
[tex]\frac{d}{dx} x^{n} = nx^{n-1}[/tex]
Differentiating equation (i) with respective to 'x', we get
[tex]cosxy \frac{d}{dx} (xy) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)[/tex]
[tex]cosxy (x\frac{dy}{dx}) - 2( x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex](cosxy-2) (x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
find the angle of elevation from c to a
Answer:
32 Degrees
Step-by-step explanation:
Thank me later lol
8) Which of the Prime number are
even numbers?
C
a) 0 & 2
b) 1 & 2
c) 2
ОО
d) None
Evaluate the quotient of 1.05 x 103 and 1 x 103
Answer:
for the 1st one it is 108.15x
and the 2nd it is 103x
Step-by-step explanation:
Do set of numbers DO NOT form a Right Triangle?
4, 5, 6
9, 12, 15
5, 12, 13
3,4,5
It’s not 3,4,5 apparently..
Step-by-step explanation:
4,5,6 do not form a right angle triangle cus 4²+5² is not equal to 6² i.e 16+25is not equal to 36
if (a+b)^2=10, if ab=-2 calculate a^2+b^2
Answer:
a^2+b^2=(a+b)²-2ab=10-2×-2=10+4=14(here -×-=+)
find the sum of 3/4 and 5/7.
Answer:
3/4 or in mixed number 1 13/28
Step-by-step explanation:
Place the following Numbers in order -5.2, - 28/5 , 1 8/11 , 3/2
Hello!
So, I didn’t know if you wanted me to put them from (Least to Greatest) or (Greatest to Least).. So, I did both.
(LEAST TO GREATEST):
3/2, 1 8/11, -28/5, -5.2
________________________________
(GREATEST TO LEAST):
-5.2, -28/5, 1 8/11, 3/2
________________________________
There you go, I hope this helps! Have a great day/night and stay safe! :)
Just pick the one that you were suppose to find the answer for. :)
WHY DOES NO ONE REPLY TO MY Q"S!!!!!!
In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 57 acres. Suppose we randomly survey 41 farmers from 1940.
Answer:
117 is the smaller value and 231 is the larger value
Step-by-step explanation:
Standard deviation is 57
Middle 50% is average and one standard deviation to each direction
So if the average is 174
174 - 57 is 117
174 + 57 is 231
Andrea Drew the Number line below. She said that 9/8 and 1 equal. Explain Error
Answer:
Her error was that 1 and 9/8 are not equal. 9/8 is 1/8 larger than 1 is, and therefore can not be equivalent to 1.
On the number line 9/8 and 1 are not equal, since 9/8 =1.125 which is greater than 1.
What is number line?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
Given that, on the number line Andrea Drew marked 9/8 and 1 and she said that they are equal.
Here, 9/8 =1.125
1.125>1
Therefore, on the number line 9/8 and 1 are not equal, since 9/8 =1.125 which is greater than 1.
Learn more about the number line here:
https://brainly.com/question/13425491.
#SPJ2
A vet borrows $12,000 for 4 years. The total interest paid was $875. What was the interest rate on the loan?
Answer:
1
Step-by-step explanation:
The midpoint of AB is M(-2,1). If the coordinates of A are
(1, -2), what are the coordinates of B?
Answer:
(-1, 2)
Step-by-step explanation:
helppppppppppppppppppp
Answer:
c
Step-by-step explanation:
3a + 2 = 2a + 7
a +2 = 7
a = 5
Answer:
I believe it's A.) [tex]\frac{9}{5}[/tex]
It can though, be C.) 5
I might be wrong about A.
precalc! 50 points! please someone help me i’ll do anything for you
Step-by-step explanation:
3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]
[tex]25 + 1 = r {}^{2} [/tex]
[tex]26 = r {}^{2} [/tex]
[tex]r = \sqrt{26} [/tex]
Now let find the sin, csc, and tan.
To find sin let use the formula
[tex] \frac{y}{r} [/tex]
[tex] \frac{1}{ \sqrt{26} } [/tex]
Rationalize the denominator
[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]
[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]
To find cosecant, it is the reciprocal of sin so it would be
[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]
To find tan, do
[tex] \frac{y}{x} [/tex]
Which is simply
[tex] \tan= \frac{1}{ - 5} [/tex]
4. Kennedi is correct since in the 2nd quadrant
The x value is negative, and the y value is positive.
Since sin is referred in trig as the y value, sin must be positive.
Sandra has some nickels, dimes, and quarters which total $2.50. She has the same
number of nickels as quarters; however, she has twice the number of dimes as nickels.
How many of each type of coin does she have?
Answer:
5 nickels
10 dimes
5 quarters
Step-by-step explanation:
n = number of nickels
d = number of dimes
q = number of quarters
q = n
d = 2n
0.05n + 0.10d + 0.25q = 2.50
substitute
0.05n + 0.10(2n) + 0.25(n) = 2.50
0.05n + 0.20d + 0.25n = 2.50
0.50n = 2.50
n = 5
d = 10
q = 5
A polygon is shown below.
26 cm
U
12 cm
1.
26 cm
X W
16 cm
Y
7 cm
What is the area of polygon TUVWXYZ?
O A 87 cm
O B. 120 cm
O C. 468 cm2
OD. 494 cm2
I still haven't reached that exercise, sorry
In which step did Viet make an error?
Answer:
Step 1
Step-by-step explanation:
When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.
Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them.WRITE AN EQUATION TO SHOW THE REALTIONSHIP between the independent and dependent variables?!?! ASAP I NEED ANSWER
Glven the value of cos 60° -0.5, enter the sine of a complementary angle. Use an
expression relating trigonometric ratios of complementary angles.
cOS 60º= ___ º ≈___
Answer:
-0.12
Step-by-step explanation:
60 divided -0.5= -0.12
Bütünler iki açıdan büyük olanın ölçüsü küçük olanın ölçüsünün 4 katından 10°eksiktir. Buna göre büyük açı kaç derecedir?
Answer:
Step-by-step explanation:
x+y = 360
y = 360-x
x = 4y-10
x = 4(360-x)-10
x = 1440-4x-10
5x = 1430
x = 286°
Answer:34
Step-by-step explanation:
Solve the following triangle angles
Answer:
X=69 degree
?= 50 degree
Step-by-step explanation:
exterior angle prop so 77+X =146
X=146-77
X=69
in sencond triangle
90+40+?=180
?=180-130
?=50
5 divided by 3670 equals
Answer:
.0013623978
Step-by-step explanation:
