Answer:
99% Confidence interval is given as;
Lower Limit = 0.062
Upper Limit = 0.130
Step-by-step explanation:
Given the data in the question;
x = 48
n = 500
sample proportion p = x/n = 48/500 = 0.096
with 99% confidence
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex] = 2.576
Now,
Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]
we substitute
SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]
SE = √[ (0.096 × 0.904) / 500 ]
SE = √[ 0.086784 / 500 ) ]
SE = 0.0131745
so
Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE
E = 2.576 × 0.0131745
E = 0.0339
Now 99% confidence interval will be
⇒ 0.096 ± 0.0339
⇒ (0.096 - 0.0339, 0.096 + 0.0339 )
⇒ ( 0.062, 0.130 )
Lower Limit = 0.062
Upper Limit = 0.130
What is the cos(65)?
I NEED THE ANSWER(ASAP)
The list below shows the allowance earned by eight of the students in Ms. Tomas's class. What is the mean allowance earned in Ms. Tomas's class?
$7, $12, $8.50, $ 10, $7, $8, $10.50, $11
Answer:
9.25
Step-by-step explanation:
For the mean, you have to add all and divide it by the numbers.
7 + 12 + 8.50 + 10 + 7 + 8 + 10.50 + 11 = 74
74 divided by 8 = 9.25
A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT). Find the probability of getting exactly two heads.
The probability of getting two heads is
(Type an integer or a simplified fraction.)
Answer:
1/4
Step-by-step explanation:
Two Heads = HH,
From four options one of them is HH,
So likely the answer is 1/4,
Hope this helps!
The area of a rectangle is 46 square inches. If the length is 4 times the width, thon find
the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answer:
w = 3.39 in
l = 13.56 in
Step-by-step explanation:
46 = w(4w) = 4w²
w² = 11.5
w = 3.39 in
l = 13.56 in
How many rabbits will
there be 6 days later?
If a rabbits population starts at 150 rabbits and decreases 5% per day.
Answer:
105 rabbits
Step-by-step explanation:
Multiple 5 percent by six days
5%x6=30%
150 rabbits --- 100%
x ----- 30%
100x=150x30
100x=4500 : 100
x=45
150-45=105
Answer:
880
Step-by-step explanation:
I've taken 5/105 divided and gotten 20.I have taken 20 * 6 which is the decrease so that you can get after six days how many rabbits were decreased and 150 * 6 that you can get how many rabbits are there in 6 days.then I took 900 - 120 i go 880 rabbits hope that helps.
which one? Help I’ll give extra points
Answer:
You are right; It is Figure B
Step-by-step explanation:
One of two complementary angles is 71 degrees. Let x = the measure of
the other complementary angle. Write and solve an equation to find the
measure of angle x.
Answer:
19 degrees
Step-by-step explanation:
Sum of 2 angles is complementary,
x + 71 = 90
x = 90 - 71
x = 19 degrees
Please help with math and explain if u do i’ll give brainly!!
Answer:
3/2
Step-by-step explanation:
MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.
To get the scale factor you have to compare the sides.
Line AD = 6 in.
Line MP = 4 in.
6/4 = 3/2
t/15=3 what operation is that?
Answer:
t = 45
Step-by-step explanation:
[tex]\frac{t}{15} = \frac{3}{1}[/tex]
t × 1 = 15 × 3
t = 45
find the missing side.
1. Use the formula V = Bh to find the volume of a gift box that is 3.5 inches
high, 7 inches long, and 6 inches wide.
Answer:
147
Step-by-step explanation:
Length x Width = base
Base x Height = Volume
What is the slope of the line below?
Justin is making a poster for Bike Safety Week. The diameter of circle A is 16 in.
If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)
Step-by-step explanation:
Given Area of Circle B = Area of Circle A
Given r = 1/2d = 1/2(16) = 8 in
and Area of Circle =
[tex]\pi {r}^{2} \\ = (3.14) ({8}^{2} ) \\ = (3.14)(64) \\ = 200.96 {in}^{2} [/tex]
Will it fit in a pot with a height of 20 cm and a bottom radius of 10 cm of 2.5 liters?
Can someone help me pls I need it fast
Answer:
Step-by-step explanation:
Volume of pot = πr²h
= 3.14 * 10 * 10 * 20
= 6280 cubic cm
1000 cubic cm = 1 litre
6280 cubic cm = 6.28 litre
∵ 2.5 litres will fit in the pot as the capacity of pot is 6.28 litre
Ok please help meeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
Volume of a cone is given by the formula,
V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here, r = Radius of the circular base of the cone
h = Height
By substituting values from the question,
V = [tex]\frac{1}{3}\times \pi (\frac{6}{2})^2(3)[/tex]
V = 9π
V = 28.27 m³ [Nearest hundred]
If we have to round the answer to the nearest tenth, answer will be,
Volume = 28.3 m³
If we have have to round the answer to the whole number then the answer will be,
Volume = 28 m³
A bookstore had 81 copies of a magazine, Yesterday the bookstore sold 7/9 of these copies. How many copies were sold yesterday?
Answer: 63 copies were sold yesterday.
Step-by-step explanation: To find how many copies were sold yesterday, simply multiply 81 by 7 which is 567. Then, divide 567 by 9 which is 63.
The drawing shows a semicircular window separated into 3 sections of . Red Green Green Approximately how many of the glass are red? The window a diameter of 18 units
Answer:
[tex] \frac{45π}{2} \: units^{2} \: ≈ \: \boxed{70.7 \: units²} [/tex]
______________________
The correct option is 70.7
Step-by-step explanation:
Since the green and red make a semicircle, the total measure must be 180°.
Since the two green sectors are both 40°.
The red must add up with the green sectors to total 180°.
This means that:
red sector + 80° = 180°.
–80° –80.
red sector = 100°.
To find the area of a sector, we must first understand the area of the circle itself which is πr², where r is the radius.
Since a full circle is 360°.
(360° / 360°)( πr² ) will be the area.
Or in radians: (2π rad / 2π rad)( πr² ).
From here, we can create the formula:
Area of a sector = ( n° / 360° ) ( πr² ). Where n is the measure or the sector in degrees, and r is the radius.
You may also know that the diameter is twice the measure of the radius.
This means that if we are given a diameter of 18 units from the problem, the radius will be 18/2 or 9 units.
Lastly, all we have to do is substitute all this information to find the area of sector.
Area of the red sector = ( n° / 360° ) ( πr² ).
Area of the red sector =
( (100°) / 360° ) ( π(9)² ).
Area of the red sector = ( 5 / 18 ) ( 81π )
Area of the red sector = ( (5)(81π) / 18 )
Area of the red sector = ( (405π) / 18 )
Area of the red sector = ( 45π / 2 ) units²
Area of the red sector =
(141.371669412.. units²) / 2
Area of the red sector =
70.6858347058.. units²
Area of the red sector ≈
70.7 units²
Are 20,30, and 16 the sides of a right triangle? Please show workkk
please help me with this asap
Answer:
Upper left is 9, upper right is 9, lower left is 21
Step-by-step explanation:
They tell us there are 9 birds that are yes fly and yes fish, so that’s the upper right.
They tell us there are 18 yes fish total. Subtract the 9 from the upper right, and that leaves 9 for the upper left.
They tell us there are 39 birds total.
39 - 18 (all fish eaters) - 4 (no fly, no fish) = 17 that can fly but don’t eat fish.
Make sense? lmk if you have questions
One positive number is 9 more than twice another. If their product is 95, find the numbers.
Answer:
The numbers are 19 and 5
Step-by-step explanation:
Given
Let the numbers be [tex]x\ and\ y.[/tex]
So:
[tex]x = 9 + 2y[/tex] --- First statement
[tex]x*y = 95[/tex] --- second statement
Required
Find x and y
Substitute [tex]x = 9 + 2y[/tex] in [tex]x*y = 95[/tex]
[tex](9 + 2y) * y = 95[/tex]
[tex]9y + 2y^2 = 95[/tex]
Rewrite as:
[tex]2y^2 + 9y - 95 = 0[/tex]
Expand
[tex]2y^2 -10y +19y- 95 = 0[/tex]
Factorize
[tex]2y(y -5) +19(y- 5) = 0[/tex]
[tex](2y +19)(y- 5) = 0[/tex]
Solve for y
[tex]2y + 19 =0[/tex] or [tex]y - 5 = 0[/tex]
[tex]2y = -19[/tex] or [tex]y = 5[/tex]
[tex]y = -\frac{19}{2}[/tex] or [tex]y=5[/tex]
Since the numbers are positive, we take only:
[tex]y=5[/tex]
Substitute [tex]y=5[/tex] in [tex]x = 9 + 2y[/tex]
[tex]x = 9 + 2 * 5[/tex]
[tex]x = 9 + 10[/tex]
[tex]x = 19[/tex]
The numbers are 19 and 5
A store is having a sale on jelly beans and almonds. For 2 pounds of jelly beans and 3 pounds of almonds, the total cost is $11. For 4 pounds of jelly beans and 8 pounds of almonds, the total cost is $25. Find them cost for each jelly beans and each pound of almonds.
What's the inequality?
Answer:
I believe the answer is D coorrect me if im wrong
Step-by-step explanation:
if im right brainliest?
or 5 stars and heart
3.
1- =
How do you subtract 1 - 1/2?
Answer:
You can just type it in the calculator. 1/2=0.5 so 1 - .05= 0.5 . Lmk if there is more to the question!
Step-by-step explanation:
Which is the graph of g(x)?
Answer: A because its always A
Step-by-step explanation:
A cube has a surface area of 54cm2. What is the volume of the cube?
Answer:
27 cm³
Step-by-step explanation:
A = 6 a²
V = a³
V=6A3/2
36=6·543/2
36≈27cm³
Hope this helps! Pls mark brainliest
HELP ASAP I WILL MARK BRAINLEY
At Camille's Hats, 25% of the 28 hats are baseball caps. How many baseball caps are there?
Answer:
112
Step-by-step explanation:
25 = 1/4 of 100. so u gotta do 4 * 28
Answer:7
Step-by-step explanation:
help please !! i need help
Answer: 1/2x
Step-by-step explanation:
what is parallel to y=5x + 3
Answer:
y=5x
Step-by-step explanation:
The slope of the line is the same as the original equation, with the 3 just shifting the line down 3 spots on the y axis.
PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME
-4x = 16
a -64
b 4
c 20
d-4
-4× = 16 answer: -4
Step-by-step explanation:
-4 × -4 = 16