Answer:
A) 1.84
Step-by-step explanation:
I just took the quiz
The standard error of the sampling size is 121 is 1.84
What is standard error?"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."
"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:
σx = σ / sqrt(n)."
Given,
Standard deviation of the sample is 20.2
and sample size is = 121
Standard error is = [tex]\sigma/\sqrt(n)[/tex]
i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84
Hence, option A is true.
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What is the volume of the cone?
Answer:
24π cm³
Step-by-step explanation:
Given the following data;
Radius, r = 3 cm
Height = 8 cm
To find the volume of a cone;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the equation, we have;
[tex] Volume = \frac{1}{3} * \pi * 3^{2}*8 [/tex]
[tex] Volume = \frac{1}{3} * \pi *9 *8 [/tex]
[tex] Volume = \pi * 3 *8 [/tex]
Volume of cone = 24π cm³
At a customer service call center for a large company, the number of calls received per
hour is normally distributed with a mean of 130 calls and a standard deviation of 10
calls. What is the probability that during a given hour of the day there will be less
than 129 calls, to the nearest thousandth?
Statistics Calculator
.460Answer:
Step-by-step explanation:
What's the first step in order to solve the exponential equation?
4-^5x = 21
Divide both sides by 21
O Convert the equation to a logarithm with a base of 21
O Divide both sides by 4
O Convert the equation to a logarithm with a base of 4
O The equation is already solved.
Answer:
I think it's A but I'm not sure
The University of Arizona is monitoring the spread of a bacteria by placing 100 spores of the bacteria at the start of the project. The number, P, of the bacteria is expected to grow according to the differential equation dP over dt equals the product of 0.05 times P and the quantity 1 minus P over 2000, where P t is measured in days. When does the number of bacteria reach 1000?
Answer:
In 59 days, the number of bacteria reaches 1000.
Step-by-step explanation:
Given the data in the question;
by placing 100 spores of the bacteria at the start of the project,
p(0) = 100
dP over dt equals the product of 0.05 times P and the quantity 1 minus P over 2000
dp/dt = 0.05p( 1 - p/200 )
2000dp / p( 2000 - p ) = 0.05dt
[1 / p + 1 / 200-p ]dp = 0.05 dt
Now, we integrate
∫[1 / p + 1 / 200-p ]dp = ∫ 0.05 dt
ln p - ln [2000 - p ] = 0.05 + c'
ln[ p / 2000 - p ] = 0.05 + c'
p / 2000 - p = [tex]e^{0.05t + c'[/tex]
p / 2000 - p = k[tex]e^{0.05t[/tex]
Now, since p(0) = 100, we substitute
100 / (2000 - 100) = k[tex]e^{0.05(0)[/tex]
100 / 1900 = k × [tex]e^{0[/tex]
100 / 1900 = k × 1
k = 1 / 19
Therefore,
p / 2000 - p = k[tex]e^{0.05t[/tex]
p / 2000 - p = (1/19)[tex]e^{0.05t[/tex]
when p( t ) = 1000, then t will be;
1000 / (2000 - 1000) = (1/19)[tex]e^{0.05t[/tex]
1000 / 1000 = (1/19)[tex]e^{0.05t[/tex]
1 = (1/19 ) × [tex]e^{0.05t[/tex]
1/(1/19 ) = [tex]e^{0.05t[/tex]
(1 × 19)/1 = [tex]e^{0.05t[/tex]
[tex]e^{0.05t[/tex] = 19
0.05t = ln( 19 )
0.05t = 2.9444
t = 2.9444 / 0.05
t = 58.888 ≈ 59 days
Therefore, In 59 days, the number of bacteria reaches 1000.
What is the slope of the following table?
x y
-2 3
0 2
2 1
4 0
Answer:
-1/2
Step-by-step explanation:
The diagram shows a sphere with center O and a radius of 4 Inches that has been cut by a plane. The cross-section
formed by the plane is shaded.
Which shape is a possible representation of the cross section?
Answer:
A circle.
Step-by-step explanation:
Ok, any plane has a vector normal to it.
Then the plane that cuts the sphere, has a normal vector.
If we draw that normal vector such that it passes through the center of the circle, we can think of this as the "axis" of a cylinder.
Such that when we step on any point of that vector, all the points of the spere that can be reached with a perpendicular line to the vector (like the radius in polar coordinates) are at the same distance of the vector.
Then we can conclude that when we cut a sphere with a plane, the cross-section will be always a circle.
Then the shape that is a representation of the cross-section is a circle.
What is the volume of the cylinder below?
Use 3.14 for pi.
Answer:
V = 502.4 cm³
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
r = 4 cm
h = 10 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(4 cm)²(10 cm)Evaluate exponents: V = (3.14)(16 cm²)(10 cm)Multiply: V = (50.24 cm²)(10 cm)Multiply: V = 502.4 cm³you need to put a, b, c, d in the right four spots
Answer:
A: Southeast
B: Northwest
C: Southwest
D: Northeast
Step-by-step explanation:
Answer:
B: Northwest
C: Southwest
D: Northeast A: Southeast
A square with a side length of 30 cm is divided into 4 triangles which expression CANNOT be used to find the area of one of the four small triangles
A. 302 divided by 4
B. 1/2(30 x 15)
C. (30 x 30) divided by 2
D. 450/2
Answer: A
Step-by-step explanation:
just need help with C would appreciate it
Answer:
85%
Step-by-step explanation:
The students who read less than six magazines would be placed in the intervals: 0-1, 2-3, and 4-5 on the graph. Adding up the total amount in those intervals gives us:
2 + 15 = 17
So, using the answer from b, we can say that 17/20 kids read magazines. Now, we need to convert it into a percent by multiplying by 100:
17/20 *100
17 * 5
85%
Find the measure of the angle indicated
Answer:
50?
Step-by-step explanation:
im not sure please think about it, but I think it might be 50
A triangle has side lengths of 10 cm, 24 cm, and 34 cm. Classify it as acute, obtuse, or right.
b. right
obtuse
acute
C.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Because neither cm lengths are more than a 90 degree angle, but im not 100% sure so can you provide a picture of the problem or is that how it actually showed?
Can someone please help me with these 2 questions, pleaseeeee explain them too. :) Im also giving brainliest and this is worth 15 points.
comments favorite math problem
You want math problems???
Answer:
Hᴇʏᴀᴀᴀ!! ᴍʏ ɴᴀᴍᴇ ɪꜱ ᴘɪɴᴋʏ ᴀɴᴅ ɪ ᴀᴍ ʜᴇʀᴇ ᴛᴏ ᴀɴꜱᴡᴇʀ ʏᴏᴜʀ Qᴜᴇꜱᴛɪᴏɴ!!ʕ ꈍᴥꈍʔ☆
Step-by-step explanation:
ɪ ᴅᴏɴ'ᴛ ʀᴇᴀʟʟʏ ʟɪᴋᴇ ᴍᴀᴛʜ ʙᴜᴛ ɪꜰ ɪ ʜᴀᴅ ᴛᴏ ᴄʜᴏᴏꜱᴇ ᴀ ꜰᴀᴠᴏʀɪᴛᴇ ɪᴛ ᴡᴏᴜʟᴅ ʙᴇ ᴀʟɢᴇʙʀᴀ!! (◕ᴗ◕✿)
ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!
*:･ﾟ✧*:･ﾟꜰʀᴏᴍ ʏᴏᴜʀ ᴏɴᴇ ᴀɴᴅ ᴏɴʟʏ ᴘɪɴᴋʏ ʕ ﾟ ● ﾟʔ✧✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ
Find the distance between the points (-15, 3) and (-9, 8).
Answer:
61 units
Step-by-step explanation:
14) 4.5a = 9.0
15) 4.8b = 36
Problem Solving Strategy: Write an Equation
Write an equation for each problem using the variable -n. Then solve and check the equation.
16) Allan has 84 baseball cards. This is 19 fewer cards than Mike. How many baseball cards does Mike have?
17) Jamie can ride her bike 3 times as fast as Michelle can jog. If Jamie rides her bike at a rate of 12 miles per hour, how fast can Michelle jog?
Problem Solving Strategy: Mental Math
Study each equation, then solve.
18) 5 + r = 6 - r
19) z - 16 = - 16
20) 7n - 7 = 0
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Find the median value. 1428, 961, 1258, 1324, 1185
1 rod equals how many yards
Answer:
5.5
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
multiply the length value by 5.5
HELP
What is the equation of the trend line in the scatter plot ?
Answer:
y=-x+8
Step-by-step explanation:
Slope = (y₂-y₁)/(x₂-x₁) = (1-8)/(7-0) = -7/7 = -1
Y-intercept = (0,8)
Therefore, the equation of the trend line is y=-x+8
John's age increased by 11 is 5 less than 5 times his age. How old is he?
If x represents John's age, which of the following equations could be used to solve this problem?
O x + 11 - 5 = 5x
O x + 11 = 5x -5
O x + 11 = 5 - 5x
Why is having a variety of plants important in a ecosystem
Answer:
It is better to have a variety of plants because if the species of plants die out, the whole ecosystem becomes extinct.
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
d) $7.82
Step-by-step explanation:
just multiply the 2 numbers
A flagpole casts a 40 foot shadow. The angle of elevation grom the tip of the shadow to the tip of the flagpole is 36". How tall is the flagpole
Answer:
45/22
Step-by-step explanation:
Find the range of the data.
4.8,5.5,4.2,8.9,3.4,7.5,1.6,3.8
The range is
7.3 is the range
Step-by-step explanation:
The range of a set of data is the difference between the largest and smallest values.
The value of the range of the data is,
⇒ 7.3
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
The data set is,
⇒ 4.8, 5.5, 4.2, 8.9, 3.4, 7.5, 1.6, 3.8
Since, We know that;
Difference between the highest and smallest value of the data set is called range.
Hence, We get;
The value of the range of the data is,
⇒ 8.9 - 1.6
⇒ 7.3
Thus, The value of the range of the data is,
⇒ 7.3
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Evaluate f(3m-4) given
The freight charge on a shipment of 1200 kg is $84.00.
Which is the rate per 100 kg?
A. $0.78
B. $4.00
C. $5.70
D. $7.00
d
E. $10.08
Answer:
d
Step-by-step explanation:
The freight charge on a shipment of 1200 kg is $84.00. So, the rate per 100 kg would be $7.00. option D is correct.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that the freight charge on a shipment of 1200 kg is $84.00. we need to find the rate per 100 kg.
So, by the unitary method,
The freight charge on a shipment of 1200 kg = $84.00.
The freight charge on a shipment of 1 kg = 84/ 1200
The freight charge on a shipment of 100 kg = 84/ 1200
= 84 x 100/ 1200
= $7.00
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50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
M
Answer:
72 miles
Step-by-step explanation:
To solve this problem, you can use the pythagorean theorem, which is a^2 + b^2 = c^2. We already have b equal to 54 miles, and since c is the hypotenuse, it equals 90 miles. We can substitute the values into the formula to get:
a^2 + 54^2 = 90^2
a^2 + 2916 = 8100
a^2 = 5184
a = 72 miles
2
Find the lateral area and surface area of the solid. Keep answer in exact form.
7 ft
7 ft
Lateral Area =
Surface Area =
Answer:
lateral area = 308 ft
surface area = 616 ft
Which geometric series converges?
Answer:
Option 2: 1 + 1/2 + 1/4 + 1/8+...
Step-by-step explanation:
When a geometric series converges, it has a common ratio that is in between -1 and 1. We can start by finding the common ratios of all the options and then see which one converges.
In the first option, each term is 3 times the term before it, meaning it has a ratio of 3. 3 does not fit in the range we defined, so this series does not converge.
In the second option, each term is half the term before it. This means the common ratio is 1/2. 1/2 is in the range, so this series converges.
In the third option, we can see that the common ratio is -4 since it is the number being brought to a power. -4 does not fit in the range we defined, so this series does not converge.
In the fourth option, we can see the common ratio is 2 since it is the number you multiply by tone more time to get the next term. 2 does not fit in the range we defined, so this series does not converge.
From this, we can see the second option(1 + 1/2 + 1/4 + 1/8+...) is the solution.
The geometric series [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] converges by the rule of convergence. Thus, the option [tex]2[/tex] from the given options is correct.
When a geometric series converges, it has a common ratio that is in between [tex]-1[/tex] and [tex]1[/tex].
The convergence of the geometric series depends on the common ratio [tex]r[/tex]. When [tex]r[/tex]>1, then the series diverges.When [tex]r[/tex]<1, then the series converges, and when [tex]r[/tex] = 1, then the series oscillates.
The common ratio [tex]r[/tex] of the series [tex]\dfrac{1}{81} +\dfrac{1}{27} +\dfrac{1}{9} +\dfrac{1}{3}[/tex] is greater than [tex]1.[/tex] So, the series diverges.
For the series, [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] , the common ratio [tex]r[/tex] is [tex]\dfrac{1}{2}[/tex], which is less than [tex]1[/tex] . So, the series converges.
For the series, [tex]\sum 7(-4)^n[/tex] , here the common ratio is [tex]-4[/tex] which does not lie in the range of convergence. Thus the given series is not convergent.
For the series,[tex]\sum \dfrac{1}{5}(2)^{n-1}[/tex] the common ratio is 2. So, the series is not convergent.
The geometric series is [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex].
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how many ways can 12 swimmers make it in first, second and third place
Answer:1320
Step-by-step explanation:Only one person can win first, second and third place. The total number of placers is 12 times 11 times 10.
Answer:
Usig their skills by:
Step-by-step explanation:
Using their strengh, force, move your feet, and arms with strong force to push you ahead faster and faster, if u are really tired I would keep going,