Answer:
95% confidence interval for the percentage of students who change their major
(0.69881 , 0.86119)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 100
Given that the sample proprtion
p = 78% = 0.78
Level of significance =0.05
Critical value Z₀.₀₅ = 1.96
Step(ii):-
The 95% of confidence interval is determined by
[tex](p^{-} -Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p^{-} +Z_{0.05} \frac{\sqrt{p(1-p)} )}{\sqrt{n} })[/tex]
[tex](0.78 - 1.96 \frac{\sqrt{0.78(1-0.78)} }{\sqrt{100} } , 0.78 +1.96 \frac{\sqrt{0.78(1-0.78} )}{\sqrt{100} })[/tex]
(0.78 - 0.08119,0.78 + 0.08119 )
(0.69881 , 0.86119)
Final answer:-
95% confidence interval for the percentage of students who change their major
(0.69881 , 0.86119)
Please help thank you
Answer:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
HELP PLEASE!!!!!!!!!!!
A cone has a volume of 33 cubic inches. If a cylinder has the same height and the same radius as the cone, what is the volume of the cylinder?
Answer:
C
Step-by-step explanation:
Step-by-step explanation:
The volume of a cylinder = πr²h
= 33 cubic inches
The volume of a cone = ¹/3 πr²h
If the cylinder and come share the same radius and height then ‘πr²h’ part of the formulas is the same for both;
It means the difference in proportionality is ¹/3 (because even π is the same across board). The volume of the cone is therefore;
¹/3 (33)
= 11
= 11 cubic inches
Hope this helps!
HELP!! What is the area of this trapezoid?
Answer:
16.5 cm ^ 2
Step-by-step explanation:
put in order the numbers from least to greatest |-12|, |11 3/4|, |-20.5|, |2|
Answer:
|2|, |11 ¾|, |-12|, |-20.5|
Step-by-step explanation:
When you have absolute value, you basically remove the negative symbol.
HELP IM TIMED!!!!!
What is another way to write the equation 7/8x+3/4=-6
Answer:
Option A
Step-by-step explanation:
[tex] 7(\frac{x}{8}) + \frac{3}{4} = - 6[/tex]
Next step is :
[tex]7 \times \frac{x}{8} + \frac{3}{4} = - 6[/tex]
[tex] \frac{7}{8} x + \frac{3}{4} = - 6[/tex]
So this is equal to the another form of equation.
16,8, 4, ...
Find the 10th term.
Round to the nearest thousandth (if necessary)
Convert to Scientific Notation - one million two hundred thousand *
Answer:
1,200,000
Step-by-step explanation:
one million two hundred thousand
1,200,000
correct me if i am wrong
PLSSS HELP ASAPPPP I BEG
MARKI BRAINLIST AND GIVING POINTS
Answer:
b = 34
m = 5
f(t) = 5x+34
Step-by-step explanation:
f(0) = 34, so that is its y intercept.
f(t) contains (0,34) and (8,74), which can be used to find the slope:
[tex]\frac{74-34}{8-0}=\frac{40}{8}=5[/tex]
Can someone reply ASAP pls!!!!
Answer:
the answer is 28
Step-by-step explanation:
the right angle=90
90-62=28
What are the zeros of f(x) = x2 + x - 30?
O A. x= -15 and x = 2
O B. x=-6 and x = 5
O C. x= -2 and x = 15
O D. x= -5 and x = 6
SUE
answer B
Step-by-step explanation:
you need to factor, the factor that works is (x+6)(x-5) then you put in the x values that would make the equation 0, when x is 5 (x-5) = 0 and when x is -6 (x+6) =0
f(x) = -4(x + 7)2 - 6
f
-8x-62 hope this helpssss
2) Ted invests $6,750 in a savings account
with a fixed annual interest rate of 6%
compounded semi-annually. What will
the account balance be after 10 years?
Who baked more cookies per batch?
A. Dan baked 2 more cookies than jenny per batch
B. Jenny backed 2 more cookies than Dan per batch
C. Dan backed 4 more cookies than jenny per batch
D. Jenny backed 4 more cookies than Dan per batch
There were 140 geese living in Larson Lake last year. It is overpopulated. A scientist has suggested a program to decrease the population of geese by 15% after 5 years. How many geese does the scientist hope will be in the lake in 5 years? Show your work.
Answer:
119
Step-by-step explanation:
Find 10% by dividing by 10, then halve it to get 5%. The answers are 14 and 7 accordingly.
Add them together to get 15%, which is now 21.
Take 21 off of 140 to get the answer, which is 119.
ALTERNATIVE METHOD - CALCULATOR
To solve the question using a calculator and with only one equation, multiply the number by 0.85 to find 85% of the number, and there's your answer.
Jasper decorates flower pots to sell in his shop.
HE knows that it takes 12 minutes to decorate a flower pot.
Jasper works from 9:30am until 12:50pm on Tuesday.
HE takes 20 minutes for a coffee break at 10:30am
How many flower pots does Jasper decorate on Tuesday?
Answer:
He works from 9:30am to 12:50pm.
He takes a brake at 10:30 for 20 mins.
Now the time he works will be
(12:50 - 9:30) - 20
3:20 - 20
3:00
NOTE: TILL HERE DONT THINK THE SIGN ':' IS USED FOR RATIO, ITS USED AS IN TIME. AND THIS MEANS THE NUMBER BEFORE ':' IS HOURS AND THE NUMBER AFTER THE ':' WILL BE MINUTES.
i.e., 3 hours.No. of pots decorated in 3 hours will be,
3 hours in minutes÷time taken to decorate one pot.
⇒ (3×60)÷12
⇒ 180÷12
⇒15
Thus he decorates 15 pots in the given time.
Jasper decorates [tex]15[/tex] pots on Tuesday.
There are [tex]60[/tex] minutes in [tex]1[/tex] hour . To convert from minutes to hours, divide the number of minutes by [tex]60[/tex].
How many flower pots does Jasper decorate on Tuesday?
He works from [tex]9:30[/tex] am to [tex]12:50[/tex] pm.
He takes a break [tex]10:30[/tex] for [tex]20[/tex] mins.
Now the time he works will be
[tex]3:20 - 20\\3:00[/tex]
i.e., 3 hours. No. of pots decorated in 3 hours will be,
3 hours in minutes ÷time taken to decorate one pot.
⇒ (3×60)÷12
⇒ 180÷12
⇒15
Thus he decorates [tex]15[/tex] pots in the given time.
Learn more about statement questions on: https://brainly.com/question/21483483
#SPJ2
Combine like terms
30x + 6y - 24x - y =
Answer:
6x+5y
Step-by-step explanation:
Combining like terms (x and y)
we get
30x-24x=6x
6y-y=5y
=> 6x+5y
Solve pls (correctly) brainliest if correct! I, lots of points!
Answer:
5
Step-by-step explanation:
First, find the equation of the line:
put it in the form y = mx + b where m is the slope and b is the y-intercept
You already have m = 2, so y = 2x + b.
Then, since you know (1, 3) is a solution so you can plug x = 1 and y = 3 into the equation to find out what b is.
3 = 2 * 1 + b
3 = 2 + b
1 = b
This means the equation of the line is y = 2x + 1.
Then, since you're trying to find out what y is when x = 2, you can plug in x = 2 into the equation:
y = 2 * 2 + 1
y = 4 + 1
y = 5
5 is the answer
Find the perimeter and total area of the polygon
Answer:
perimeter = 56 in
area = 192 in
two Number are in ratio 2:3 ,if their l.c.m is 48.what is the sum of number
Answer:
Step-by-step explanation:
Guess you didn't mean what you wrote in that song about meeeeeeee
Which comparison about the shapes is true? There are 6 squares to 3 circles O There are 3 squares to 6 circles There are 6 circles to 9 squares. There are 3 squares to 9 circles
Answer:
second option 3 squares to 6 circles
Step-by-step explanation:
Answer:
B: There are 3 squares to 6 circles.
Step-by-step explanation:
I did this question and got it right
[tex]5 \frac{5}{6} - 1 \frac{1}{4} = [/tex]
The answer is
[tex] \frac{55}{12} [/tex]
and in mix fraction it will be
[tex]4 \frac{7}{12} [/tex]
and in decimal form,
[tex]4.583333[/tex]
[tex]answer \: = 4 \frac{7}{12} [/tex]
Way to do5⅚ - 1¼ =
35/6 - 5/4 =
140/24 - 30/24 = 110/24 = 4 14/24 = 4 7/12
Ms. Jones bought a box with 8 packages of felt paper for her class. The total box of paper was priced at $40. If she buys the paper in single packages, the cost is $5.50 per package. How much does she save on 8 packages of paper by buying the whole box? Explain how you got your answer.
Answer:
$4
Step-by-step explanation:
To answer, we have to find the base unit of how much each package would cost out of a box. To do this, we divide the total amount of the box of paper by how many packages were inside:
40 / 8 = 5
So, each package costed Ms. Jones $5, while the single packages cost $5.50, so Ms. Jones saved $0.50 per package she bought, which if you multiply by 8, you get 4, so Ms. Jones saved a total of $4.
Hope this helps :)
Divide. Enter your answer as a fraction in simplest form.
1/5 divided by 11/15
A cookie recipe calls for 1.5 teaspoons of vanilla for one batch. How many teaspoons of vanilla would be needed for 2.5 batches of cookies?
Answer:
3.75
Step-by-step explanation:
it said 2.5 batches to you need to 1.5x2 = 3 15 divided by 2 = .75
3.75
3.75 teaspoons of vanilla will be needed for 2.5 batches of cookies. If it requires 1.5 teaspoons of vanilla for one batch.
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Given,
It requires 1.5 teaspoons of vanilla for one batch which can be interpreted as 1 batches of cookies requires 1.5 teaspoons of vanilla.
1 batches----->1.5 teaspoons of vanilla
Using unitary method,
To calculate the number of teaspoons of vanilla needed for 2.5 batch is as follows:
1 batches----->1.5 teaspoons of vanilla
Multiply 2.5 both sides.
(1 batches)X 2.5----->(1.5 teaspoons of vanilla)X 2.5
2.5 batches----->3.75 teaspoons of vanilla
3.75 teaspoons of vanilla will be needed for 2.5 batches of cookies
Learn more about unitary method, here:
brainly.com/question/28276953
#SPJ6
Below, enter x If the graph of the given equation is symmetric with respect to the x-axis, y if it is symmetric with respect to the y axis, o (lower
case O) if it is symmetric with respect to the origin, and n (for None) if it has none of these three symmetries.
y=xt
y = x2 +1
y=x²+x
y = (1 + x2)3
Answer:
Step-by-step explanation:
You can tell by looking at the form of each equation.
y = tx
This is a straight line that passes through the origin, so it symmetric with respect to the origin.
y = x²+1
This is an up-opening parabola with vertex at (0,1), so it is symmetrical about the y-axis.
y = x²+x = (x+½)² - ¼
This is an up-opening parabola with vertex at (-½,-¼). Not symmetrical to either axis nor to the origin.
Can't tell what "y = (1 + x2)3" means. Which terms are exponents?
Please solve if you know no trolls please im desparate
Please if you can answer any question or if all if you can.
8) Tayna made a mistake in her work. Identify the mistake and explain how she could fix the mistake. *
How many degrees are there in the "Department Store" angle? *
How many degrees are there in the "Gas Station" angle? *
Answer:
Department Store:
7(18.75)+8= 139.25
Gas Station:
18.75+22= 40.75
Step-by-step explanation:
The mistake is 7x+8+x+22 should not equal 90. It should equal 180 degrees because the two angles are supplementary angles. (It forms a straight line)
Correct equation and how to solve for X:
7x+8+x+22=180
8x+30= 180
8x= 150
x=18.75
Department Store:
7(18.75)+8= 139.25
Gas Station:
18.75+22= 40.75
Can you please help me out
Answer:
yes I can. what is the question?
14
Select the correct answer.
What is the total value of the goods and services produced in the nation in a year called?
A.
Gross Domestic Value
B.
Gross Daily Productivity
Oc.
Gross Domestic Product
Reset
Next
Which of the following numbers is a multiple of 4?
Answer:
4,8,12
Step-by-step explanation:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80
just keep multiplying by 4
(hope this helps can i plz have brainlist :D hehe)
Solve by substitution or elimination
4X – 3y = 7
4x + y = 11
Answer:
(5/2 , 1)
Step-by-step explanation:
4X – 3y = 7
4x + y = 11
———————
Multiply a -1 to the bottom equation to get the 4x as a negative so it cancels out.
4x - 3y = 7
-4x - y = -11
——————
-4y = -4
Divide by -4
y = 1
Substitute the value of y into one of the equations and solve
4x - 3(1) = 7
4x -3 = 7
4x = 10
Divide by 4
X = 10/4
Simplify by dividing by 2
x = 5/2
Therefore the answer is (5/2, 1 )