Answer:
Step-by-zbastep explanation:
Researchers studying the sticky droplets found on spider webs will measure the widths of a random sample of droplets. From the sample, the researchers will construct a 95 percent confidence interval to estimate the mean width of all such droplets. Which of the following statements about a 95 percent confidence interval for the mean width is correct?
A. The interval will be narrower if the researchers increase the level of confidence to 99 percent.
B. The interval will be narrower if the researchers increase the sample size of droplets.
C. The interval will be wider if the researchers decrease the level of confidence to 90 percent.
D. The interval will be wider if the researchers increase the sample size of droplets.
E. The width of the interval will not be affected if the researchers increase or decrease the number of droplets in the sample.
Answer:
B. The interval will be narrower if the researchers increase the sample size of droplets.
Step-by-step explanation:
Margin of error of a confidence interval:
The higher the margin of error, the wider an interval is.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level(the higher the confidence level, the higher z), [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
From this, we conclude that:
If we increase the confidence level, the interval will be wider.
If we increase the sample size, the interval will be narrower.
Which of the following statements about a 95 percent confidence interval for the mean width is correct?
Increasing the sample size leads to a narrower interval, so the correct answer is given by option B.
Give the properties for the equation -2x 2 - y + 10x - 7 = 0.
>Vertex
(5/2, 11/2)
(-5/2, 11/2)
(5, -7)
Given:
The quadratic equation is
[tex]-2x^2-y+10x-7=0[/tex]
To find:
The vertex of the given quadratic equation.
Solution:
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
We have,
[tex]-2x^2-y+10x-7=0[/tex]
It can be written as
[tex]-2x^2+10x-7=y[/tex]
[tex]y=-2x^2+10x-7[/tex] ...(i)
Here, [tex]a=-2,b=10,c=-7[/tex].
[tex]\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{-10}{-4}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{5}{2}[/tex]
Putting [tex]x=\dfrac{5}{2}[/tex] in (i), we get
[tex]y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7[/tex]
[tex]y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7[/tex]
[tex]y=\dfrac{-50}{4}+25-7[/tex]
[tex]y=\dfrac{-25}{2}+18[/tex]
On further simplification, we get
[tex]y=\dfrac{-25+36}{2}[/tex]
[tex]y=\dfrac{11}{2}[/tex]
So, the vertex of the given quadratic equation is [tex]\left(\dfrac{5}{2},\dfrac{11}{2}\right)[/tex].
Therefore, the correct option is A.
Please help this is due TODAY
Calculate the unknown variable value .
Do not answer with a one answer, blank or a ridiculous answer please this is serious.
1. Consider the surface area of the following pyramid.
Calculate the total surface area of the pyramid. Show your work!
Answer:
Answer:
45 cm
Step-by-step explanation:
You use the formulas 1/2*base*height for area of a triangle and edge squared for the square so you do 1/2*2.24*3 for the area of one triangle, then times this by 4 to account for all triangles, then you add this to 3*3 which is the area of the square
Chris and Pat worked the same number of days and earned equal amounts of money, Chris earned a rate of $75 per day. Pat earned a rate of $50 per day and
received a honus of $125 How many days did each of them work
Answer:
A, 5 days
Step-by-step explanation:
Let's set the number of days as x. Then, the amount of money each person earned is:
Chris: 75 * x
Pat: 50 * x + 125
Then, because these are equal amounts,
75x = 50x + 125
Subtract 50x from both sides.
25x = 125
Divide both sides by 25.
x = 5
So, they worked for 5 days, or option A.
Only need help 4 to 8 please Please help me my sister in the hospital and I don’t know how to do this type of homework I’m trying my best :( pray for my sister please
Answer:
I'm so sorry for ur sister
please i will give you brainly -1,8÷9 I need step by step
Answer:
-0.2
I couldn't get step by step but hope this answer helps out a little...
(Do you need it for ur assignment?)
Step-by-step explanation:
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative
I wasn't sure if the comma was a typo in your question but I Hope this helps :)
Rewrite the number in Standard form
6 x 10^8
Answer:
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.
Answer:
600000000
Step-by-step explanation:
10^8=100000000
6×100000000=600000000
hope this helps
There were 58 frogs in a pond.f of the frogs hopped away.Choose the expression that shows how many frogs are in the pond.
A. f - 58
B. 58 - f
C. f + 58
D. f
A 28 ft ladder is leaned against the side of a building and its base is 5 ft away from the building. How far up the building will the ladder reach?
Answer:
27.55ft
Step-by-step explanation:
28²-5²=x
784-25=759
square root of 759=27.55
Three train stations, A, B and T are built along a straight train track, so that Tis of the distance from A to . Which situation represents the function (m) - Im?
the number of miles between train stations A A and B. it train stations A and Tare miles apart
B O the number of miles between train stations A and B. if train stations and are miles apart
C the number of miles behiveen train stations A and T. If train stations A and Barem miles apart
D the number of miles between train stations and train stations A and B are miles apart
what note receive one beat in 4/4
Answer:
Step-by-step explanation:
A quarter-note.
Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12.00 pm the temperature rose 6
degrees Fahrenheit, what is the
temperature at
12:00 pm in degrees?
Which of the following is equivalent to (a + b/2) ^2?
2a + 2* 4/b
2a + 4/b + 4/b^2
a^2 + 4ab + 4b^2
a^2 + 4a/b + 4b^2
a^2 + 4a/b + 4/b^2
Answer:
a^2 + 4a/b + 4/b^2
Step-by-step explanation:
Which of the following is equivalent to (a + b/2) ^2?
The expression (a + b/2)² is equivalent to (a² + b²/4 + ab).
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.
Given is the algebraic expression as -
(a + b/2)²
We can write -
(a + b/2)² = a² + (b/2)² + 2 × a × b/2
(a + b/2)² = a² + (b/2)² + ab
(a + b/2)² = a² + b²/4 + ab
Therefore, the expression (a + b/2)² is equivalent to (a² + b²/4 + ab).
To solve more questions on algebraic expression, visit the link below -
https://brainly.com/question/27911936
#SPJ5
PLEASE JUST HELP ITS ACTUALLY AN EMERGENCY I WILL GIVE 3K ON BLOXBURG FOR THIS
cut off the topright rectangle so there are 2 rectangles.
That will make it look like this
2x3=6
+
5x3=15
=
21
The area of that shape would be 21 square feet
21 square ft
u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;
Please need help thank you
Answer:
9
Step-by-step explanation:
Answer:
9 clients ran at least 2 laps
Step-by-step explanation:
5 clients ran 2 laps, and 4 clients ran 3 laps
3. Reasoning Ben says that n = 5 is the solution of the equation 7n = 45. How can you check whether Ben is correct?
Answer:
You cant, because Ben is WRONG, unless you made a typo while writing the question
Step-by-step explanation:
If you subsitute N for 5, then the equation would be 7 x 5 = 45. However, this is not true. The correct equation is 7 x 5 = 35, so Ben is wrong UNLESS you made a typo while writing the question.
Hope this helped! If it did, please mark it brainliest! It would help a lot! :D
h
a) Use your calculator to work out 18^2 - 7.9
46 - 1.8^3
Write down all the figures on your calculator display.
Answer:
I suggest PHOTO MATH app for that question download mo po:)
Answer:
a) 49.87517031
b) 49.88
Step-by-step explanation:
Use a calculator
e the problem ose swims for 20 minutes. He rides his bike for 15 minutes longer than he swims. Then he walks his dog for 30 minutes. How long does it take Jose to swim, bike, and walk his dog? 85 minutes
Answer:
65 minutes
Step-by-step explanation:
20+15=35
35+30=65
can you help me please
Answer:
3.96 x 10^-11
Step-by-step explanation:
Hope this helps.
I need help ASAP I’m confused with this problem
Answer:
I believe it's A
Step-by-step explanation:
not sure but
triangle DEF is similar to triangle STU. enter a proportion that contains EF and SU.
Answer:
Step-by-step explanation:
ΔDEF ~ ΔSTU ⇒ EF ~ TU and DF ~ SU ⇒ [tex]\frac{EF}{TU}[/tex] = [tex]\frac{DF}{SU}[/tex]
Pls help me i didnt understand this!!
Answer:
90
Step-by-step explanation:
I don't know to explain but I believe I'm right
Please answer the questions below
Answer:
15 cm²
Step-by-step explanation:
Plz help someone I’m very bad at math:
Bob placed a 17-foot ramp against the side of a house so the ramp rested on a ledge
that is 8 feet above the ground. How far was the base of the ramp from the house?
Answer:
get help here http://msflowersmath.weebly.com/uploads/2/7/8/6/27867809/8.3.pdf
Please need help thank
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
It has the most x's (rolls) compared to the other numbers rolled.
I'm in the test and need help please
Graph the solution to the following linear Inequality
pls HELPPP !
solve the systems of equations of x+2y=21 and -2x-y=-12
Answer:
I really hope it's right!
Find the value of x
Pls help
Answer:
10
Step-by-step explanation:
Both angles will be equal as they are opposite angles
➝13x=130
➝x=130/13
➝x=10
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3.
Answer:
y= -3x + 3
Step-by-step explanation:
the point given tells you the y-int
given that y=mx + b, you can plug in the values
y= -3x + 3