Complete question :
A study was designed to test whether applying metal tags is detrimental to a penguin. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Construct a 90% confidence interval for the difference in proportion surviving between the metal and electronic tagged penguins (). Let be the proportion of penguins with metal tags that survived and be the proportion of penguins with electronic tags that survived. Round your answers to three decimal places.
Answer:
(-0.305 ; - 0.015)
Step-by-step explanation:
Sample size, n1 = 50
x1 = 10
n2 = 50
x2 = 18
P1 = x1 / n1 = 10/50 = 0.2
P2 = x2 / n2 = 18 /50 = 0.36
1 - P1 = 0.8 ; 1 - P2 = 0.64
Zcritical at 90% = 1.645
Confidence interval :
(P1 - P2) ± Zcritical * standard error
Standard Error = sqrt[(p1(1-p1))/n1 + (p2(1-p2))/n2]
S.E = sqrt((0.2(0.8))/50 + 0.36(0.64))/50)
S.E = sqrt((0.0032 + 0.004608))
S. E = sqrt(0.007808)
S. E = 0.0883628
(0.2 - 0.36) ± (1.645 * 0.0883628)
-0.16 ± 0.145356806
Lower boundary = - 0.16 - 0.145356806 = −0.305356806
Upper boundary = - 0.16 + 0.145356806 = −0.014643194
(-0.305 ; - 0.015)
What is equivalent to 5 to the negative 4 power?
Answer: 1/625
Step-by-step explanation:
5^-4
1/5^4
1/625
Which line is perpendicular to LD
Answer:
C.) YT
Step-by-step explanation:
Parallel lines are horizontal lines
Perpendicular lines mean lines that are vertical
Hope this helps! :)
Answer:
[tex]\Large \boxed{\sf D}[/tex]
Step-by-step explanation:
Perpendicular lines are lines which make an angle of 90° with each other.
Line QY is perpendicular to line LD
if you can help tyyyy :))))
Answer: it should be 5+3+4+11=23
Step-by-step explanation: when you look for the volume you add all the numbers. hope it helps :)
plz mark as branlist
What are the coordinates of points P and S?
A. P(4,-4) and S(3,-2)
B. P(4,-4) and S(-2,-3)
C. P(-4,-4) and S(-3,-2)
D. P(-4,4) and S(-3,-2)
9514 1404 393
Answer:
D. P(-4,4) and S(-3,-2)
Step-by-step explanation:
The first coordinate is the number of units right of the vertical y-axis. Point P is 4 units left, so has an x-coordinate of -4. (Eliminates choices A and B)
The second coordinate is the number of units above the horizontal x-axis. Point P is 4 units up, so has a y-coordinate of +4. (Eliminates choice C)
The coordinates of points P and S are ...
P(-4,4) and S(-3,-2) . . . . . matches choice D
Answer:the answer is D. P(-4,4) and S(-3,-2)
Step-by-step explanation:took the test and got it right
Solve the system of equations using the linear combination method.
4- 3y=12
178-3y=3
Enter your answers in the boxes.
X
Y
Answer: x = -3; y = -8
Step-by-step explanation:
Multiply second equation by -1 and add to first equation. The y term zeros out, leaving you with -3x = 9, so x = -3.
Then go back and sub -3 in for x in either equation, and solve for y. If you use the first equation, you get 4(-3) -3y = 12
-12 -3y = 12
-3y = 24
y = -8
what is 37 feet into yards and feet
Answer:
12 yards and 1 foot
Step-by-step explanation:
The diameter of a wheel on a car is 16 inches. What is the circumference of the wheel? Use 3.14 for pi.
Answer:
The circumference is 50.24in.
Step-by-step explanation:
All you have to do is multiply the diameter by 3.14. Easy and so simple
The circumference of the given wheel is 50.24 inches.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
We have been given data as follows:
The diameter of the circle (d) = 16 cm
Circumference of the circle = πd
Substitute the values in the above formula and we get
Circumference of the circle = 3.14 × (16)
Apply the multiplication operation, and we get
Circumference of the circle = 50.24
Thus, the circumference of the given wheel is 50.24 inches.
Learn more about the Circumference of the circle here:
brainly.com/question/19794723
#SPJ6
find the surface of the rectangular prism
Answer:
The surface of the rectangular prism is 42
l × w × h
The length is 3 width is 2 and the height is 3.
Hope this helps have an awesome day❤
Line a is parallel to line b. If the
measure of Z2 is 78°, what is the
measure of Z5?
78=21
34
6.5
718
Enter
Answer:
102
Step-by-step explanation:
If two central angles have the same measure then their intercepted chords are congruent.
Always
Sometimes
Never
Answer: I think it's always!
Faye can sort 150 recyclable items in 3 minutes Based on the ratio shown how many recyclable items can Faye sort in 4 minutes?
Answer:
200 recyclable items
Step-by-step explanation:
The computation of the number of recyclable items would be sort in 4 minutes is shown below:
Given that
There is 150 recyclable items in 3 minutes
So in 4 minutes, the no of recyclable items is
= 150 × 4 ÷ 3
= 200 recyclable items
2. Which of the following is an equation?
A. y/9 - 3
B. 9 - 2
C. y/9 = 3
D. 7 + y
Plz help meeee! I need help on this math problem!
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
Answer:
x = 55
Step-by-step explanation:
First set the equations to equal eachother since theyre corresponding.
3x - 60 = x + 50
Then just solve for x.
3x - 60 = x + 50
+60 +60
3x = x + 110
-x -x
2x = 110
/2 /2
x = 55
HELP ASAP PLS SOLVE THE PROBLEM IN THE PIC I GIVE LOTS OF POINTS TO CORRECT ANSWER
Answer: C
Step-by-step explanation:
The first 2 letters match but the third one doesn’t and S= match so it is SSA
What is 3 + 1
What is it
uh it's 4 yes. the answer would be 4
Answer:
it's 4
hope it is helpful to you
1 3/7-2/7 show work please
Answer: 1 1/7
Step-by-step explanation: 3/7 - 2/7 = 1/7
here the answer here you Step-by-step explanation:
here an the 1 1/7
The diameter of a circle is equivalent to the
radius squared.
True
False
Explain your answer
Answer:
Step-by-step explanation:
The diameter of a circle is twice the radius, so the statement is false.
The beginning balance on the monthly bank statement for Peyton's checking
account was $346.19, and the ending balance was $198.34. What can be said
about Peyton's transactions for the month?
O A. He had $147.85 more in credits than in debits.
O B. He had $544.53 more in credits than in debits.
.
O c. He had $544.53 more in debits than in credits.
O D. He had $147.85 more in debits than in credits.
Answer:
A: He had $147.85 more in credits than in debits.
Step-by-step explanation:
Which expression is equivalent to 3 x 3 x 3 x 3?
Answer:
3^4
Step-by-step explanation:
3 to the power of 4
Answer:
I think an answer would be 3 to the third or fourth power
or
9x9
Step-by-step explanation:
3x3 = 9 so if you split it up you have two 3x3s
9x9
Cedric is 20 years younger than Steve. The sum of their ages is 37. How old
is Cedric?
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]17[/tex] [tex]because[/tex] [tex]you[/tex] [tex]needed[/tex] [tex]to[/tex] [tex]subtract[/tex] [tex]37 and20[/tex]
[tex]- Yaoii[/tex]
What is the value of x?
Enter your answer in the box.
Answer:
x+64= 90
x = 90 - 64
x = 26°
thanks
Help help help help
Is 17,144,145 a right triangle or not a right triangle?
Answer:
Not a right triangle. A right angle needs a 90 degree angle.
question below please help
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Answer:
B They are similar, but not congruent.
Step-by-step explanation:
Reflection, rotation, and translation are "rigid" transformations. They result in congruent figures.
Dilation is not a rigid transformation. For any dilation scale factor other than 1, the figures will be different sizes, so will not be congruent. They will be similar. (Angles will be congruent, and lines/sides will be parallel.)
The combination of dilation (by 0.5) and reflection results in similar, but not congruent, figures.
plz help 20 points if you get it right and I will give you brainliest
Answer:
The first one cannot be simplified
reason: usually when simplifying an expression you combine like terms but in the given expression there are no like terms
An example of like terms would be 6a and 9a
Essentially what i am saying is that the variables have to be the same in order for them to be combined
The second one is 36r
This is the answer because they tried to combine like terms that aren't similar
r and f are not the same variable therefore they cannot be combined
Hope this helps :)
A new taxi company, Littleton Cabs, just opened in town. A cab ride for mile costs 8.5+2 m dollars.Polly took a 14-mile cab ride to the airport.
Answer:
10.5 this is the answer
Step-by-step explanation:
10.5
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 22 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure
Answer: 4.27% of adults in the USA have stage 2 high blood pressure.
Step-by-step explanation:
Let x be a random variable that denotes a person with high blood pressure .
Given: Average blood pressure: [tex]\mu=122[/tex]
Standard deviation: [tex]\sigma=22[/tex]
Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.
The probability that an adult in the USA have stage 2 high blood pressure:
[tex]P(x\geq160)=P(\dfrac{x-\mu}{\sigma}}\geq\dfrac{160-122}{22})\\\\=P(z\geq1.72)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.72)\\\\=1-0.9573\ \ [By\ p-value\ table]\\\\=0.0427=4.27\%[/tex]
Hence, 4.27% of adults in the USA have stage 2 high blood pressure.
Hi! My question is..
What is the value of x?
A. 20
B. 40
C. 45
D. 85
Thank you.
Answer:
B. 40
Step-by-step explanation:
We know that the large angle is 90 degrees as it is a right angle. Thus, [tex]10+2x=90[/tex] (I don't know how to include degree symbols). We solve: [tex]2x=80[/tex], so then [tex]x=40[/tex]. Thus, x is forty degrees and the answer is B.
Answer:
40
Step-by-step explanation:
There is a bisector splitting a 90-degree angle into 2 parts, we are given that one of them is 10. This can only mean the other side is 80 degrees in total.
and 80/2 is 40
When does a quadratic equation in the form ax2 + b = c have only one real solution
when the discriminant is = 0