Answer: [tex](0.1481323,\ 0.2018677)[/tex]
Step-by-step explanation:
The confidence interval for population proportion :
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where n= sample size, [tex]\hat{p}[/tex] = sample proportion , z*= Critical z-value.
Let p = population proportion of successes.
Given: n= 200 , [tex]\hat{p}=\dfrac{35}{200}=0.175[/tex]
Critical z value for 95% confidence = 1.96
The 95% confidence interval for a population proportion is:
[tex]0.175\pm (1.96)\sqrt{\dfrac{(0.175)(1-0.175)}{200}}\\\\=\ 0.175\pm (1.96)\sqrt{0.000721875}\\\\= 0.175\pm (1.96)(0.0268677)\\\\=(0.175-0.0268677,0.175+0.0268677)\\\\= (0.1481323,\ 0.2018677)[/tex]
Required confidence interval: [tex](0.1481323,\ 0.2018677)[/tex]
Calculate the volume
Please show the steps....
Answer:
4,800
Step-by-step explanation: 6 times 5 times 8 times 20=4800 :D
Answer:
probably
Step-by-step explanation:
v = [20.(8+6)/2].5
v = 20.7.5
v = 700cm³ (that's a 3 btw)
Luke measured caterpillars for a science project. He believes that caterpillar A is longer than caterpillar B because it has more digits after the decimal point. Do you agree or disagree Luke's thinking. Explain your reasoning.
Caterpillar A=4.125 cm
Caterpillar B=4.03
Caterpillar C=4.23
Answer: disagree
Step-by-step explanation:
Caterpillar A is longer, but not because of the decimal places. It is longer because of the place value.
Answer:
Disagreed
Step-by-step explanation:
In order to find the answer to this question you must remember that when dealing with finding the greater decimals you have to look at which have the greater place values in this case...
[tex]CA=4.125[/tex]
[tex]CB=4.03[/tex]
[tex]CC = 4.23[/tex]
Caterpillars 1 place value is already greater then caterpillar B's place value of 0, so it doesn't really matter how many more numbers to add after 1 and 0 because these two place values are already different 1 > 0
Meaning that "although Caterpillar A is greater then Caterpillar B, it is not because it has more digits simply because one is greater then zero." You can prove this by seeing that Caterpillar C is greater then Caterpillar A because two is greater then one.
[tex]4.125 > 4.03[/tex]
[tex]4.125 < 4.23[/tex]
Hope this helps.
When a circular plate of metal is heated in an oven its radius increases at a rate of 0.01 cm/min. at what rate is the plates areas increasing when the radius is 54 cm?
Answer:
3.3912cm³/minStep-by-step explanation:
Area of the circular plate = πr² where r is the radius of the plate.
dA/dt is the rate at which the plate is increasing
since dA/dr = 2πr and dr/dt = 0.01cm/min
dA/dt = dA/dr * dr/dt
dA/dt = 2πr dr/dt
dA/dt = 2π(54)(0.01)
dA/dt = 2π(0.54)
dA/dt = 3.3912cm³/min
Hence the rate at which the plates area is increasing when the radius is 54cm is 3.3912cm³/min
4 divided by 9.48 hii
Answer:
4 divided by 9.48= 0.42( or 0.421940928.....)
Step-by-step explanation:
..
Brian has 17 fewer marbles
than Kyle. Brian has
21 marbles. How many
marbles does Kyle have?
Answer:
the answer to your question is 38.
There are 38 marbles does Kyle have.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Brian has 17 fewer marbles than Kyle.
And, Brian has 21 marbles.
Now,
Let number of marbles Kyle have = x
Then, Number of marbles Brian have = x - 17
But, Brian has 21 marbles.
So, We get;
x - 17 = 21
x = 21 + 17
x = 38
Thus, There are 38 marbles does Kyle have.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Classify the sentences based on whether they describe an investing mistake or a good investment decision.
Answer:
What sentences?
Step-by-step explanation:
Can you please add a picture, a sentence(s), an article, or any source so we can actually answer them for you??????
Answer:
Investing mistake :
Silvia successfully avoids investing
in unfamiliar foreign companies.
Ryan invests only in the stock of
companies he has complete faith in.
Martha decides to hold her
investments despite their poor
market performance over
three years.
Good investment decision:
Sanjay invests in companies in
a variety of industries.
Ricardo starts investing in index
funds with the aim of building
his wealth steadily over time.
Sabina invests small amounts in
stocks, bonds, and real estate.
Step-by-step explanation:
Got it right in edmuntum :)
Which of these figures shows perpendicular lines?
Answer: I think a and b
Step-by-step explanation:
im having a mental breakdown HELPPPP!
What sample size is required if you want to estimate p with an 99.5% confidence level and an error of no more than 0.08?
Answer:
0.5
Step-by-step explanation:
(08.01)Two lines, A and B, are represented by the following equations:
Line A: 2x + 2y = 8
Line B: x + y = 3
Which statement is true about the solution to the set of equations?
It is (1, 2).
There are infinitely many solutions.
It is (2, 2).
There is no solution.
Answer:
It is D, ( the numbers to the right of the equals sign are different.)
Step-by-step explanation:
Triangle ABC IS an isosceles triangle AB=BC m
Answer:
The measure of angle A is 73°
Step-by-step explanation:
Isosceles Triangles
An isosceles triangle is a triangle with exactly two congruent sides. The angles the congruent sides form with the third side are also equal.
The triangle ABC is isosceles and AB congruent with BC. The angle at B measures 34°.
The other two angles are congruent, i.e. their measures are the same. Since the internal angles of a triangle sum 180°:
[tex]2*m\angle A=180^\circ - 34^\circ =146^\circ[/tex]
Thus:
[tex]m\angle A=146^\circ /2=73^\circ[/tex]
The measure of angle A is 73°
pls help me with long division
86÷3 =
*The divisor is 3 and the dividend is 86
First step: How many 3's can fit into 8? (8÷3)
8÷3 = 2 r 2
Second step: add a 2 above the eight in the tens place of the answer.
86÷3 = 2_
Third step: multiply 3 x 2; 3 x 2 = 6;
In this step, we put a 6 underneath the 8.
Fourth step: Subtract.
In this step, we subtract 8-6 (=2)
Fifth step: bring down the next number. In this case, it is 6.
In this step, we now have the number 26.
Sixth step: How many 3's can fit into 26? (26÷3)
26÷3 = 8 r 2
Last step: Now put an 8 in the one's place and now we have a remaining 2. That is called the remainder. We put the remainder and represent it as "r". We put r2.
I hope this was easy for you to understand!
Answer:
Step-by-step explanation:
2 8 R2
3[tex]\sqrt{86[/tex]
- 6
-------------
26
- 24
-----------
0 2
PLEASE HELP Find the x-component of this
vector and the y-component
Answer:
x ≈ 11.5, y ≈ 3.4
Step-by-step explanation:
Th rectangular components of the vector are
x = r cosθ
y = r sinθ
where r is the magnitude and θ is the angle between x- axis and vector
Here r = 12 and θ = 90° - 73.3° = 16.7° , then
x = 12 cos16.7° ≈ 11.5 m ( to 1 dec. place )
y = 12 sin16.7° ≈ 3.4 m ( to 1 dec. place )
Apples cost $1.89 per pound. What equation shows the relationship between total cost (t), price (p), and pounds purchased (n)?
1.89 = nt
n⁄t = 1.89
1.89t = n
t = 1.89n
Answer:
[tex]t(n) = 1.89n[/tex]
Step-by-step explanation:
From the given information
'p' denotes 'price per pound'i.e. p = 1.89
'n' denotes the 'number of pounds purchased' 't' denotes the 'total cost 'Therefore, the equation becomes
[tex]t(n) = pn[/tex]
as
[tex]p=1.89[/tex]
so
[tex]t(n) = 1.89n[/tex]
Verification:
If you want to purchase 1 pound apple
i.e.
[tex]n=1[/tex]
Total cost would be:
[tex]t(1) = 1.89 (1)[/tex]
t = $1.89 per pound
The weekly milk order for the Tranquility Hotel includes 40 gallons of low- fat milk and 15 gallons of chocolate milk. What is the ratio of chocolate gallons to low- fat gallons in Tranquility Hotel's weekly milk order?
Answer:
15:40
Hope it helps!
Can anyone help with this?
Answer:
The answer is B and D.
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me brainliest. Thank you and have a nice day!
Is it a nonlinear or a linear
Answer: linear
Step-by-step explanation:
-Hope this helps :D
-9 is an example of what
Answer:
A negative number, a negative integer, a negative multiple of 3, etc.
Step-by-step explanation:
Answer:
integer
???????
Step-by-step explanation:
I'm not sure
Hola me pueden explicar por favor el punto 1 es para hoy muchas gracias
Answer:
las soluciones estan abajo. En algunos incisos se debe suponer que el numero en cuestion es entero. De lo contrario no es posible hablar del siguiente o del anterior al numero.
Step-by-step explanation:
Sea x un numero, entonces
1)2x
2)5x
3)x-1 (aqui x es un numero entero)
4)[tex]\frac{x}{2}[/tex]
5)[tex]\frac{x}{10}[/tex]
6)x+1 (aqui x es un numero entero
7) x(x+1) (aqui x es un numero entero
8) x(x+1)(x+2) (aqui x es un numero entero
How many yards long is a piece of fabric witha width of 5/8 yrd nd a area of 2 3/4 square yards?
Answer:
D. [tex] 4\frac{2}{5} [/tex]
Step-by-step explanation:
Area of fabrics = 2¾ square yards
Width of fabrics = ⅝ yard
Length of fabrics = x
Area = length * width
Therefore:
2¾ = ⅝*x
Change the mixed fraction to improper fraction
[tex] \frac{11}{4} = \frac{5x}{8} [/tex]
Cross multiply
[tex] 4*5x = 11*8 [/tex]
[tex] 20x = 88 [/tex]
Divide both sides by 20
[tex] \frac{20x}{20} = \frac{88}{20} [/tex]
[tex] x = \frac{22}{5} [/tex]
[tex] x = 4\frac{2}{5} [/tex]
[tex] length = 4\frac{2}{5} [/tex]
Solve 8,961 ÷ 29 Using standard algorithm.
(Giving brainliest and extra points)
Answer:its 309
Step-by-step explanation:
ME NEEDS SOME HELP WITH MATH PLS
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[tex]The \: \: correct \: \: answer \: \: is \: \: (( C )) . \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer this question and I will give you brainliest and help on anything
Answer:
The answer is 27
Step-by-step explanation:
You count how many lines it takes up and add them together
Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL
Answer:
0.98778
Step-by-step explanation:
When we are given a random number rod samples, we solve using z score formula
z = (x-μ)/σ/√n, where
x is the raw score = 102.1 mL
μ is the population mean = 101.5 milliliters (mL)
σ is the population standard deviation = 1.6.
n = 36
z = 102.1 - 101.5/1.6/√36
z = 2.25
Probability value from Z-Table:
P(x<102.1) = 0.98778
Hence, If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL is 0.98778
6
A girl has $2.85 in nickels and quarters. How many of each type of coin does she have if there
are 21 coins in all? *
(4 Points)
n + 9 = 21 and .05n + .25q = 2.85
n = 12,9 = 9
n = 5,9 = 26
n = 31, 9 = 22
n = 5,9 = 7
Answer:
n = 12, q = 9
Step-by-step explanation:
The simultaneous equation that represents the expression is;
n + q = 21 .......... 1
0.05n + 0.25q = 2.85 ........ 2
Multiply equation 2 by 100 to have;
5n + 25q = 285
n + 5q = 57
____________________________________
n + 5q = 57
n + q = 21
Substract the resulting equations
5q-q = 57-21
4q = 36
q = 36/4
q = 9
Substitute q = 9 into eqn 1;
From 1; n+q = 21
n = 21-q
n = 21-9
n = 12
Hence she has 12 nickels and 9 quarters
In a population that is normally distributed that has a mean of 45 with a standard
deviation of 5, what is the probability that a randomly selected object is over 52?
0.0001
0.0808
0.0501
0.9542
Linear or nonlinear
Answer:
I think its linear so I dont know 100% but I think it's a sorry if I'm wrong
Answer:
linear
Step-by-step explanation:
it is in y=mx+b form. also it forms a straght line
A scientist is examining a multicellular organism that has the ability to move from one location to another and eats food to gain energy for survival. What kingdom would be the best option when classifying this organism?
Rewrite 38/7 as a mixed number.
I need this ASAP
Answer:
5 3/7
Step-by-step explanation:
Answer:
[tex]5\frac{3}{7}[/tex]
Step-by-step explanation:
Seven goes into 38 five times. Giving you 5 from 5×7=35.
I hope this explantion was helpful.
What is the equation of the line that passes through the point (-3. 4) and has a
slope of 1/3?