Answer:
W = 4
Step-by-step explanation:
4/6 = 6/9
2/3 = 2/3
you want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable preliminary estimation for the population proportion. you would like to be 95% confident that you estimate is within 2% of the true population proportion. how large of a sample size is required
Answer:
The value is [tex]n =2401 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 2%= 0.02
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Here we are going to assume that the sample proportion is [tex]\^ p = 0.50[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n =[\frac{ 1.96 }{ 0.02} ]^2 * 0.5 (1 -0.5 ) [/tex]
=> [tex]n =2401 [/tex]
Which of the following most likely causes the rate of a chemical reaction to increase? (5 points)
a
Decreasing the reaction temperature
b
Slowing down the reacting molecules
c
Taking away heat from the reaction
d
Adding heat to the reaction
Answer:
i think adding heat to reaction will change the rate of the reaction
find the value of x that make it true
Answer:
Step-by-step explanation:
1). 10 = [tex]\frac{1+7x}{7+x}[/tex]
10(7 + x) = 1 + 7x
70 + 10x = 7x + 1
10x - 7x = 1 - 70
3x = -69
x = -23
2). 0.2 = [tex]\frac{6+2x}{12+x}[/tex]
0.2(12 + x) = 6 + 2x
2.4 + 0.2x = 6 + 2x
2.4 - 6 = 2x - 0.2x
1.8x = -3.6
x = -2
3). 0.8 = [tex]\frac{x}{x+0.5}[/tex]
0.8(x + 0.5) = x
0.8x + 0.4 = x
x - 0.8x = 0.4
0.2x = 0.4
x = 2
4). 3.5 = [tex]\frac{4+2x}{0.5-x}[/tex]
3.5(0.5 - x) = 4 + 2x
1.75 - 3.5x = 4 + 2x
-3.5x - 2x = 4 - 1.75
-5.5x = 2.25
x = -[tex]\frac{2.25}{5.5}[/tex]
x = - [tex]\frac{9}{22}[/tex]
Someone help me please
Step-by-step explanation:
i think c is your answer
Complete the table shown to the right for the half life of a certain radioactive substance.
Decay rate:1.5% per year=-0.015
The half life is ___ years
Given:
Decay rate: 1.5% per year = -0.015
To find:
The half life.
Solution:
The continuous exponential decay function is
[tex]A(t)=Ae^{-kt}[/tex]
where, a is initial value, -k is decay rate and t is time period.
For half life, [tex]A(t)=\dfrac{A}{2}[/tex],
[tex]\dfrac{A}{2}=Ae^{-0.015t}[/tex]
Dividing both sides by A.
[tex]\dfrac{1}{2}=e^{-0.015t}[/tex]
Taking natural log on both sides.
[tex]\ln \dfrac{1}{2}=\ln e^{-0.015t}[/tex]
[tex]-0.69314718=-0.015t[/tex]
Divide both sides by -0.015.
[tex]\dfrac{-0.69314718}{-0.015}=t[/tex]
[tex]46.209812 =t[/tex]
[tex]t\approx 46[/tex]
Therefore, the half life is 46 years.
Which of the following is equivalent to the expression 1/2x+4x-1/2x+60?
Answer:
4(x + 15)
Step-by-step explanation:
1/2x - 1/2x = 0
You're then left with 4x + 60
Factor out the 4 and you get 4(x + 15)
Answer: ITS C.
Step-by-step explanation: It’s not B I took the test and put C and got it right
Two news papers are comparing sales from last year. Which expression describes the number of newspapers the tribune sold
•The post sold 34,859 copies
•The tribune sold one and a half times as many copies as the post.
A. 34,859 x 1/2
B. 34,859 divided by 1/2
C. 34,859 x 1 1/2
D. 34,859 divided by 1 1/2
Answer:
C. 34,859*1 1/2
hope ThIs hElPz : \
PLEASE HELP PLEASEEEEEE
Answer:1) 9/8×4/3
2)9/8÷3/4
3)3/2
Step-by-step explanation:
The vertices of ΔGHI are G (2, 4), H (4, 8), and I (8, 4). The vertices of ΔJKL are J (1, 1), K (2, 3), and L (4, 1). Which conclusion is true about the triangles?
They are congruent by the definition of congruence in terms of rigid motions.
They are similar by the definition of similarity in terms of a dilation.
The ratio of their corresponding sides is 1:3
The ratio of their corresponding angles is 1:3.
Answer:
B
Step-by-step explanation:
They are similar by the definition of similarity in terms of a dilation.
What is similarity in terms of dilation in Mathematics?Two figures must have congruent (equal) comparable angle measures and proportional sides in order to be considered similar. Dilations produce comparable numbers because adding the scale factor produces proportional sides while keeping the angle measurement and form constant.
Given
In GHI ,
GH = 3cm [using distance formula]
HI = 5.65 cm
GI = 6 c
In JKL,
JK = 2.2361 cm
KL = 2.8284 cm
JL = 3 cm
To know more about dilation refer to :
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Please help, solve a and b
Answer:
AE and BD use the same lines for both triangles so the angles for C are the same. this means that all the angles are congruent between both triangles.
Step-by-step explanation:
Answer:
The distance across the river d=175ft
Step-by-step explanation:
As◇ ABC& ◇ EDC are similar, BC/CD=AB/ DE
4x/7x=100/d
d=100×7/4=175
For which x is f(x)=-3?
-7
-4
4
5
What is the quotient of 8,187 ÷ 24? (2 points)
341 R 3
341 R 7
409 R 3
409 R 7
Helo me plsim not good at math
Answer:
Step-by-step explanation:
bottom option
Can some one help me understand this?
Answer:
0 cavities
minimum is 0 cavities. there are people having 0 cavities. see the graph.
hope it helps!
Answer:
0
Step-by-step explanation:
The minimum is the smallest value in the dataset. The smallest number of cavities is 0.
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Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis? They are diameters of concentric circles. They share the same midpoints. They are perpendicular to each other. They share the same endpoints.
Answer:I am pretty sure the answer is
C. "They are perpendicular to each other."
Step-by-step explanation:
For a shape to be reflected, it must be reflected across a line.
The true statement about the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other
Given that:
Shape: rectangle LMNOReflection line: x-axisWhen the shape is reflected across the x-axis, we have the following perpendicular and congruent lines
L x-axis and L' x-axis M x-axis and M' x-axis N x-axis and N' x-axis O x-axis and O' x-axisHence, the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other
Read more about reflection at:
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Is 17/40 closest to 0/40, 20/40, or 40/40?
Answer:
20/40
Step-by-step explanation:
If you make them decimals, then 17/40 = .43
0/40= .00 20/40 = .50 40/40 =1.00
so .50 is closest to .43.
Hurry!!!!!!! Plz answer fast 90 points
To calculate this percentage, we suggest using this formula:
% / 100 = Part / Total
Substituting the provided values:
60/100 = Part / 20
Performing cross multiplication:
60 x 20 = 100 x Part, or
1200 = 100 x Part
Now just divide by 100 and get the answer:
Part = 1200/100 = 12
A sample of bacteria is growing at a continuously compounding rate. The sample triples in 10 days.
Find the formula for the daily rate. Type your answer as a fraction.
Answer:
r=ln3/10
Step-by-step explanation:
The daily rate is given by 3 to the power x divided by 10.
We have given that a sample of bacteria is growing at a continuously compounding rate.
The sample triples in 10 days.
What is the formula for the daily rate?The daily rate of the bacteria growth is. exponential growth is in the form
y = abˣ
where y, x are variables.
a is the initial value
Sample triples, in 10 days. therefore the value of b=3.
Therefore we get,
[tex]y=3a^{\frac{x}{10}[/tex]
[tex]y=a3^{\frac{x}{10}[/tex]
Therefore the daily rate is given by [tex]3^{\frac{x}{10}[/tex].
To learn more about the daily rates visit:
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Parallel lines have the same slope
True.
Any and all lines that are parallel share the same slope.
One of the objectives for this lesson is to find the length of a curve using the z score.
True
False
Answer:
true
Step-by-step explanation:
5/6 × 1/5= 1/6. How the answer came 1/6? Explanation needed.
Answer:
see below
Step-by-step explanation:
5/6 × 1/5= 1/6
Rewrite the fractions
5/5 * 1/6 = 1/6
1 * 1/6 = 1/6
1/6 = 1/6
Answer:
below
Step-by-step explanation:
[tex] \frac{5}{6} \times \frac{1}{5} [/tex]
divided 5 by 5
[tex] 5 \div 5 = 1 [/tex]
multiply 1 by 1/6
[tex] 1 \times \frac{1}{6} [/tex]
hence,
[tex] = \frac{1}{6} [/tex]
What is the slope of the line on this graph
Answer:
In math, slope is used to describe the steepness and direction of lines
Step-by-step explanation:
about 99.7 of sixth grade students will have heights between inches and inches
51.1 and 64.9
Step-by-step explanation:
Answer: 55.1 and 64.9
On edge.
Step-by-step explanation:
At what point do the lines y=x-4 and 2x+y=2 intersect?
Answer:
(2, -2)Step-by-step explanation:
Given
y = x - 4 2x + y = 2Solving by substitution
2x + (x - 4) = 23x - 4 = 23x = 6x = 2Then finding y
y = x - 4y = 2 - 4y = -2Intersection point is (2, -2)
Delta mathhhh needed!!!!!
How to write the slope intercept for of
y = -1/2 (x-4)
Answer:
y=-1/2 +2
Step-by-step explanation:
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x 2) true?
Answer:
[tex]x = -56[/tex]
Step-by-step explanation:
Given
[tex]0.75(x + 20) = 2 + 0.5(x - 2)[/tex]
Required
Find x
[tex]0.75(x + 20) = 2 + 0.5(x - 2)[/tex]
Open brackets
[tex]0.75x + 15 = 2 + 0.5x - 1[/tex]
Collect Like Terms
[tex]0.75x - 0.5x = 2 - 1 - 15[/tex]
[tex]0.25x = -14[/tex]
Solve for x
[tex]x = -\frac{14}{0.25}[/tex]
[tex]x = -56[/tex]
For every 1,000 pounds of water in the ocean, there are 35 pounds of salt. If a person takes 173 pounds of ocean water, how much salt will he have?(tell me which letter, and explain why)
A: 605 pounds
B: 7.03 pounds
C: 6.06 pounds
D: 7 pounds
Answer:
C. 6.06
Step-by-step explanation:
173/1000=.173
.173*35== 6.06
Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during and are as follows: Season: 75 79 80 78 76 74 76 78 Season: 72 71 76 78 86 81 72 80 a. Calculate the mean (to the nearest whole number) and the standard deviation (to decimals) of the golfer's scores, for both years. Mean 77 Standard deviation 2.07 Mean 77 Standard deviation 5.26 b. What is the primary difference in performance between and
Answer:
Explained below.
Step-by-step explanation:
The scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida are,
Season 1: {75, 79, 80, 78, 76, 74, 76, 78}
Season 2: {72, 71, 76, 78, 86, 81, 72, 80}
(a)
Compute the mean and standard deviation of the golfer's scores as follows:
Season 1:
[tex]\bar x_{1}=\frac{1}{n_{1}}\sum x_{1}\\\\=\frac{1}{8}\times 616\\\\=77[/tex]
[tex]s_{1}=\sqrt{\frac{1}{n-1}\sum(x_{1}-\bar x_{1})^{2}}\\\\=\sqrt{\frac{1}{8-1}\times 30}\\\\=2.0702\\\\\approx 2.07[/tex]
Season 2:
[tex]\bar x_{2}=\frac{1}{n_{2}}\sum x_{2}\\\\=\frac{1}{8}\times 616\\\\=77[/tex]
[tex]s_{2}=\sqrt{\frac{1}{n_{2}-1}\sum(x_{2}-\bar x_{2})^{2}}\\\\=\sqrt{\frac{1}{8-1}\times 194}\\\\=5.26444\\\\\approx 5.26[/tex]
(b)
The primary difference in performance between the two seasons is:
[tex]\text{Diff} = \bar x_{2}-\bar x_{1}\\\\=5.26-2.07\\\\=3.19[/tex]
Translate this sentence into an equation.
108 is the product of Carlo's age and 6.
Answer:
Step-by-step explanation:
Let Carlo's age = x
Equation: 6*x = 108
6x = 108
Solution:
6x = 108
x = 108/6
x = 18
Carlo's age = 18 years
Answer:
Solution :-Let the age of Carlo be x
[tex] \tt \: equation \longrightarrow \: 6x = 108[/tex]
Age
[tex] \tt \: 6x= 108[/tex]
[tex] \tt \: x \: = \dfrac{108}{6 } = 18[/tex]
