Using the z-distribution, as we are working with a proportion, it is found that:
a) The population proportion is of 0.625.
b) The interval is (0.586, 0.664).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The sample size and the population proportion are given, respectively, by:
[tex]n = 1040, \pi = \frac{650}{1040} = 0.625[/tex]
Hence, the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 - 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.586[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 + 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.664[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
An aquarium is shown below. The directions state that the water should be exactly three inches below the top of the aquarium. What is the volume of the water in the tank?
Answer:
2496 is the volume
Step-by-step explanation:
The height of the tank is 13, the water level is 3 inches below that so the height of the water would be 10 (13-3 = 10)
volume = length x width x height:
Volume = 24 x 8 x 10 = 1,920 cubic inches
1 gallon = 231 cubic in.
1920/231 = 8.31 gallons
pls help me asap TYY
even just one of them :))
Find length FD
FD is Opposite
BD adjacent
O + A is Toa
Tan20 = o/9
x9
9 x Tan20 = o
O = 3.2757.... (ans)
Opposite/ FD is 3.28cm to 2.p.d
Draw diagonal line from A to D & find its length - that's the hypotenuse of a right-angle created
Use Pythagoras Theorem
a^2 + b^2 = c^2
25^2 + 9^2 = c^2
Square root both sides to get c
C = root 25^2 + 9^2
= root 706
= 26.57066...(ans)
AD is 26.57cm
Now create another right-angle triangle A to F to D back to A.
Label dimensions found such as the Length of AD to be 26.57.. Plus, FD to be 3.28.
Use trig for angel FAD:
Opposite of triangle is 3.28
Adjacent is 26.57
So, OA means Toa, but we're after an angle & have to use tan inverse instead.
Tan-1 (3.28/26.57) = 7.0374..
So, the angle is 7.04 degrees.
(ans) - ignore, I did use rounded figures in my ans, I was originally not going to, but I did.
Hope this helps!
The figure shows two triangles with two pairs of congruent angles. If AC = 10 units, what is AD?
A.
4 units
B.
6.5 units
C.
10 units
D.
12 units
Answer:
the Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles.The four triangles are congruent with each other regardless whether they are rotated or flipped.The congruence of two objects is often represented using the symbol. △ABC △DEF.the lengths of the corresponding sides and measures of the corresponding angles do not have to be explicitly shown to indicate congruence.
Step-by-step explanation:
hope this helps if not please let me now
Answer: the is c
Step-by-step explanation: good luck !
Need help with this problem
14. What is the difference between
70% of 7 and 7% of 70?
Answer:
It's technically the same thing, because if we solve both of these the answer would be same.
First one says 70 percent part of 7 and the other one says 7 percent part of 70. However, if we solve both of these the answer will be same:
i) 70% of 7
= (70/100) × 7
= 4.9 answer
ii) 7% of 70
= (7/100) × 70
= 4.9 answer
So, here as you can see, through both the equations we get the same answer, which is 4.9 .
This is one of the basic principles of multiplication actually, where:
a × b = c
b × a = c
Therefore,
a × b = b × a
Hope that helps...
Determine the MAD of the set of the data without the outlier. 88, 85, 90, 35, 75, 99, 100, 77, 76, 92, 82
Answer:
85
Step-by-step explanation:
What is the value of x in the equation 2/3x - 7 = 5 - 3/5x?
Answer:
180/19
Step-by-step explanation:
(10x)/15+(9x)/15＝5+7
19x＝12(15)
x＝180/19
what operation do you use to solve x/2=12
Answer:
x = 24
Step-by-step explanation:
[tex]\frac{x}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )
x = 2 × 12 = 24
multiplication .
Calculations ↓We need to use multiplication in order to get rid of the fraction and solve for x .
Remember that in mathematics we can't just get rid of fractions without altering the maths problem , so we multiply both sides by the denominator of the fraction , which is 2 .
x/2 = 12
[tex]\blue{\mathtt{x\:=\:24}}[/tex]
[tex]\small\text{hope\;helpful~}[/tex]
Achieve $5,000 in three years at 3.5% simple interest
Answer:
Step-by-step explanation:
3.5% to a decimal is 0.035 because its divided by 100.
Add 1 to 0.035 because its a positive interest.
Multiply 5000 times 1.035
You get $5175
Hope this helps.
Please answer this asaapppppp
Answer:
Fraction: 23/18
Radians: 23π/ 18
Step-by-step explanation:
A semi circle is 180 degrees, so 230 degrees of a semi circle would be 230/180, or 23/18.
To convert degrees to radians, do the degree times π/180, so the answer is 23π/18
Simplify the square root of 40x^4
Answer:
4 = 22
Step-by-step explanation:
Factor 40 into its prime factors
40 = 23 • 5
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
4 = 22
Factors which will remain inside the root are :
10 = 2 • 5
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
2 = 2
At the end of this step the partly simplified SQRT looks like this:
2 • sqrt (10x4)
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(x4) = x2
sqrt (40x4) =
2 x2 • sqrt(10)
Simplified Root :
2 x2 • sqrt(10)
Geometry homework. Please solve I dont understand it
Answer:
6.48m
Step-by-step explanation:
If you look at the values, you'll notice that the top 2 triangles have the same values and the bottom 2 triangles have the same values.
Area(Kite)=Area(Top Triangles)+Area(Bottom Triangles)
Area(Kite)=Area(15*18cm)+Area(21*18cm) (You can plug it in like a rectangle since their is 2 of each triangle)
Area(Kite)=270cm+378cm
Area(Kite)=678cm
Don't forget they asked it in Meters not Centimeters!
So...
The area of the kite is 6.48m
Answer:
6.48 sq. meters
Step-by-step explanation:
Let's split the kite into 2 parts. The bottom triangle and the top triangles.
Let's find the values of the bottom two triangles first. Both triangles have the same lengths and widths so their area will be the same too. The equation for the area of the triangle is (L*W)/2. The length is 21 and the width is 18. (21*18)/2=189. So since there are 2 triangles, you do 189*2= 378.
Let's find the values of the top two triangles. Since both of them have the same length and width, their areas will be the same too. Since we know the equation, let's use that to solve this problem. The length is 15 and the width is 18. (15*18)/2=135. So since there are 2 triangles, you do 135*2=270.
Now we have to add the areas of the 4 triangles together. 270+378=648 cm. But the answer has to be in meters so the answer is 6.48 since 1 cm = 0.01 m.
Sorry for the long explanation, I was trying to show my work so you would understand!
WILL MARK BRAINLIEST PLS HELP!!!
Answer:
Angle 6= 109
Angle 6= 71
Step-by-step explanation:
Angle 4 and Angle 2 are equal because they are vertical angles, Angle 2 is also 109, Angle 6 is corresponding to angle 2, meaning angle 6 is also 109. To figure out angle 7 you simply do 180-109=71 and you get 71 for angle 7
Answer:
Step-by-step explanation:
<6 is the same since they are alternate interior angles meaning <6 is 109 degrees
7 is going to be a little more complicated.
180-109=71
<1,2,3 and 4 all share similar angles. 1 and 3 are similar, meaning 2 and 4 are also.
If 2 is 4 (109), then this means that 7 is 109 as it is the alternate exterior angle.
Use formulas to find the lateral area and surface area of the prism.
the numbers are 15 in 17 in 20 in
round to the nearest whole number
Answer:
12 inches
Step-by-step explanation:
Find the lateral surface area of a triangular prism with bases edges 3 inches, 4 inches and 5 inches and altitude 8 inches.
The perimeter is the sum of the bases.
p=3+4+5=12 inches
Lateral Surface Area =12(8)=96 inches2
Each of the following bills is late. Which of the following situaltions charges a fee that is greater that 5%? Choose all that apply
A.a $150 bill totals $154.50 with fee.
B A $40 bill totals $41.60 with fee.
C.A $120 bill totals $133.00 with fee
D A $220 bill totals $237.60 with fee
E A $410 bill totals $418.20 with fee
Find the center of the circle given by this equation:
Answer:
center of the circle is (5, -3) and radius of the circle is 8 units
Step-by-step explanation:
Find the center of the circle given by this equation:
x²-10x+y²+6y-30=0
for x
b= -10
for y
b=+6
complete the square
for x
(-10/2)² = 25
for y
(6/2)²=9
x²-10x+25
y²+6y+9
(x²-10x+25)+(y²+6y+9)+30=0+25+9
(x²-10x+25)+(y²+6y+9)=25+9+30
(x-5)²+(y+3)²=64
This is the form of a circle. Use this form to determine the center and radius of the circle
(x − h)² + (y − k)² = r²
Circle Equation
(x-a)² + (y−b) ² = r² is the circle equation with a radius r, centered at (a, b)
Rewrite x² - 10x + y² + 6y - 30 = 0 in the form of the standard circle equation
(x − h)² + (y − k)² = r²
(x - 5)² + (y-(-3))² = 8²
(x-5)² + (y+3)² = 8²
r=8
h=5
k=-3
signs of h and k are opposite of what they are inside the parenthesis
Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x- offset from the origin, and k represents the y-offset from origin.
r=8
h=5
k=-3
https://brainly.com/question/19375747
expii
Brian McLogan
Alex Federspiel
It takes 8 seconds to fully inflate a mini basketball and 27 seconds to fully inflate a full size basketball. The mini basketball is 6 inches in diameter. 1) If the full size ball is a dilation of the mini ball, what scale factor was used to create the full size ball? Response area
2) What is the diameter of the full size ball? Response area inches
Answer:
28.5 inches
Step-by-step explanation:
PLS GIVE ME BRAINILIEST IF IT'S CORRECT!
Can someone help me on this ? Please
Answer:
need to know more
Step-by-step explanation:
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
7 A formula for the relationship between a
person’s maximum heart rate, H, and the
person’s age, a, is shown below.
H = 217 2 0.85a
According to the formula, which of the
following is closest to Jasmin’s maximum
heart rate if she is 14 years old?
a 203
b 205
c 229
d 239
Answer:
b 205
Step-by-step explanation:
would be the closest answer.
Hope this hlepsss!
write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
40 yd to 64 yd
If p(x)=5(x²+1)+16 then what is p(11)?
Answer:
626
Step-by-step explanation:
substitute whatever they put in the brackets into wherever X appears in the equationthey put 11 in the brackets, so replace X in the equation with 11[tex]5({11}^{2} + 1) + 16[/tex]this is just 5 (121+1) + 165(122) + 16 610 + 16626Niles Hunt received this information on the statement from his bank. Find the (a) average daily balance-new purchases included, (b) finance charge, and (c) new balance. Reference Posting Date Transaction Date Description Purchases & Advances Payments & Credits $ 75. 66 $100. 00 1238090 2789433 3459811 4334681 2/5 2/10 2/17 2127 2/13 2/8 2/15 2/24 Home repairs PAYMENT Discount store PAYMENT 198. 33 50. 00 Billing Period Previous Balance Periodic Rate Finance Charge Average Daily Balance | a. 2/01-2/28 $36. 54 | b. 2. 1% Payments & Credits Purchases & Advances New Balance Minimum Payment Payment Due $273. 99 1 Ic $150. 00 $10. 00 3/15
Rice weighing 3 3/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
Solution
To solve the problem first we have simplify the improper fraction.
⇒ 33/4 ÷ 4 pounds.
= (4 × 3 + 3) /4 ÷ 4 pounds.
= 15/4 ÷ 4 pounds.
= 15/4 × 1/4 pounds.
= 15/16 pounds.
Now we know that, 1 pound = 16 ounces.
Therefore, 15/16 pounds .
= 15/16 × 16 ounces.
= 15/1
= 15
= 15 ounces.
Answer: 15 ounces.
3 3/4 pounds of rice divided equally in 4 containers.
to find:the amount of ounces of rice each were in.
solution:33/4 ÷ 4 pounds
= (4 × 3 + 3)/4 ÷ 4 pounds
= 15/4 ÷ 4 pounds
= 15/4 × 1/4 pounds
= 15/16 pounds
so, now:
1 pound = 16 ounces
hence, 15/16 pounds = 15/16 × 16 ounces
= 15 ounces
How are special right triangles used in finding the area of a regular hexagon?
Answer:
To find the area of the hexagon,we will first find the area of each equilateral triangle then multiply it by 6.
3. What fraction of a revolution does the hour hand of a clock turn through when: (a) it starts at 3 and stops at 11
Answer:
2/3.
Step-by-step explanation:
Full revolution = 12 hours
11 - 3 = 8 hors
So it is 8/12 = 2/3 of a revolution.
sketch on the same axes the graphs of y= |x| and y= |x| - 2. Label the x- and y-intercepts. In what respects are the two graphs similar? In what respects do they differ?
Answer:
Another method to graph a line in the xy-axis or xy-plane is to use its intercepts. What are intercepts? These are points of the line that are found on the xx and yy axes. There are two kinds of intercepts.
The first one is called the x-intercept because it is the point of the line located on the horizontal axis (x-axis).
The second is the y-intercept which is the point of the line located on the vertical axis (y-axis).
Step-by-step explanation:
A cone with heighth and radius r has volume V = n²h. If the cone has a height of 6 in. and volume V = 8rzx² + 24rx + 187, what is its radius r in
terms of x?
O A. r= 3x + 2
OB. r= 4x2 + 12x +9
C. r= 2x + 3
OD. r= (2x + 3)(2x - 3)
Answer:
C
Step-by-step explanation:
trust me bbg I know what I'm talking about
A can contains 24 fluid ounces of fruit juice. How many pints of fruit juice does the can
Step right up for a prize brainiest if you get right
A librarian surveys college libraries to find out how many hours each library stays open on the weekends.
15,15,8,12,12,14,14,16,8,17,18,15,12,10
The number of hours is noted in the order that the librarian calls each.
Find the median of hours open
A.12
B.14
C.14.5
D.15
Answer:
I think its B
Step-by-step explanation:
Answer: B)14 hours open
(14+14)/2 =14
Step-by-step explanation:
15,15,8,12,12,14,14,16,8,17,18,15,12,
8,8,12,12,12,14,14,15,15,16,17,18
(14+14)/2 =14
The length of the diagonal of a square is 14. What is the length of each side?
Answer:
x=[tex]\sqrt{7}[/tex]
Step-by-step explanation:
use the pythagorean theorem
since the two sides are the same you
[tex]2x^{2} =14\\x^{2} =7\\x=\sqrt{7}[/tex]