Answer:
any number between the two
for example: 0.1309, 0.1308, 0.1301, etc.
Step-by-step explanation:
hope this helped :)
Step-by-step explanation:
0.1308, 0.1309, 0.1301
Is segment AB tangent to circle O shown in the diagram, for AB = 8, OB = 3.75, and AO = 10.25. Explain your reasoning and show all work in your own words. (The figure is not drawn to scale.)
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Answer:
not tangent
Step-by-step explanation:
AB will be tangent to circle O if AB ⊥ BO. That can be tested by checking to see if AB, BO, and AO satisfy the Pythagorean theorem.
According to the Pythagorean theorem, the length of the hypotenuse of a right triangle with legs 3.75 and 8 will be ...
hypotenuse = √(3.75² +8²) = √78.0625 ≈ 8.835
The length of AO is somewhat greater than that, so AB cannot be a tangent to the circle.
__
The angle ABO is obtuse.
Find the shortest distance from
A to B in the diagram below.
Shortest distance = Displacement
And please provide the diagram
Must click thanks and mark brainliest
Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to thegiven statistics and confidence level. Round the margin of error to four decimal places.1)99% confidence; n
Answer:
[tex]E = 0.0158[/tex]
Step-by-step explanation:
Given
[tex]n = 5900[/tex]
[tex]x = 1770[/tex]
[tex]CI = 99\%[/tex]
Required
The margin of error (E)
First, calculate proportion p
[tex]p = x/n[/tex]
[tex]p = 1770/5900[/tex]
[tex]p = 0.3[/tex]
Given that:
[tex]CI = 99\%[/tex]
Calculate the alpha leve;
[tex]\alpha = 1 - CI[/tex]
[tex]\alpha = 1- 0.99[/tex]
[tex]\alpha= 0.01[/tex]
Divide by 2
[tex]\alpha/2= 0.01/2[/tex]
Subtract from 1
[tex]1 - \alpha/2= 1 - 0.01/2[/tex]
[tex]1 - \alpha/2= 0.995[/tex]
The corresponding z value is:
[tex]z =2.576[/tex]
So, the margin of error is:
[tex]E = z * \sqrt{p * (1 - p)/n}[/tex]
So, we have:
[tex]E = 2.576 * \sqrt{0.3 * (1 - 0.3)/5600}[/tex]
Using a calculator, we have:
[tex]E = 0.01577471394[/tex]
Approximate
[tex]E = 0.0158[/tex]
Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.
In a study of 806 randomly selected medical malpracticeâ lawsuits, it was found that 513 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. What is the hypothesis test to beâ conducted?
Solution :
[tex]$H_0: p = 0.5$[/tex]
[tex]$H_a: p > 0.5$[/tex]
Alpha, α = 0.01
The sample proportion is :
[tex]$p'=\frac{x}{n}$[/tex]
[tex]$=\frac{513}{806}$[/tex]
= 0.636
Test statistics, [tex]$z=\frac{p'-p}{\sqrt{\frac{pq}{n}}}$[/tex]
[tex]$z=\frac{0.636-0.5}{\sqrt{\frac{0.5\times 0.5}{806}}}$[/tex]
[tex]$z=\frac{0.136}{0.0176}$[/tex]
z = 7.727
The p value = 0.00001
Here we observe that p value is less than α, and so we reject the hypothesis [tex]H_0[/tex].
Therefore, there is sufficient evidence,
The number of cubic feet of water in a curved container can be approximated by V=0.95h^2.9 find the amount of water in the container when h=8 feet round to the nearest tenth
Answer choices:
A. 0.9
B. 358.4
C. 395.1
D. 314.9
Answer:
C. 395.1
Step-by-step explanation:
Substitute the value for x:
[tex]V=0.95(8)^{2.9}\\V=395.1[/tex]
(-2x) (x-3) answer please
Answer:
−2x^2+6x
Explanation:
You just have to distribute meaning you have to multiply -2x to the equation.
The time I spend waiting for the bus on any given day has a distribution with mean 4 min- utes and variance off 0.5 minutes. What is the probability that I spend more than 2 hours and 10 minutes waiting for the bus in one month (30 days)? You may assume that waiting times on different days are independent of each other. HINT: Is there a sum of random variables somewhere in here?
Answer:
0.0049 = 0.49% probability that I spend more than 2 hours and 10 minutes waiting for the bus in one month.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n instances of a normal variable:
For n instances of a normal variable, the mean is:
[tex]M = n\mu[/tex]
[tex]s = \sigma\sqrt{n}[/tex]
Mean of 4 minutes, standard deviation of 0.5 minutes:
This means that [tex]\mu = 4, \sigma = \sqrt{0.5}[/tex]
30 days:
[tex]M = 30(4) = 120[/tex]
[tex]s = \sqrt{0.5}\sqrt{30} = \sqrt{0.5*30} = \sqrt{15}[/tex]
What is the probability that I spend more than 2 hours and 10 minutes waiting for the bus in one month (30 days)?
2 hours and 10 minutes is 2*60 + 10 = 130 minutes, so this probability is 1 subtracted by the p-value of Z when X = 130. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
In this context, due to the 30 instances of the normal variable:
[tex]Z = \frac{X - M}{s}[/tex]
[tex]Z = \frac{130 - 120}{\sqrt{15}}[/tex]
[tex]Z = 2.58[/tex]
[tex]Z = 2.58[/tex] has a p-value of 0.9951.
1 - 0.9951 = 0.0049
0.0049 = 0.49% probability that I spend more than 2 hours and 10 minutes waiting for the bus in one month.
in how many ways can be arranged 2 different words in necklace?
Answer:
3
Step-by-step explanation:
chain by chain
parllel
series
Use: Ck = k! (n-k)!
n!
n k
to solve the combination.
How many ways can you
choose steak, fish, or chicken if you
can only choose two meats?
Answer:
3 ways.
Step-by-step explanation:
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
2 meats from a set of 3(steak, fish or chicken). So
[tex]C_{3,2} = \frac{3!}{2!1!} = 3[/tex]
3 ways.
If x+7 is an even number, is x+11 an even number or odd number?
Answer:
x + 11 is an even number.
Step-by-step explanation:
Even numbers can only be obtained from the sum of two odd numbers or two even numbers. Since we know that x + 7 is even, x + 11 must be even as well.
Need to know Anwser yes or no
Answer:
Reflective symmetry over the line y = 4 is No
Reflective symmetry over the line y = 1/7x + 3 is Yes
I need help ASAP pleasee
Answer:
The answer is 4 1/2
Step-by-step explanation:
Because A to C is 2 1/4 so all you have to do add 2 1/4 + 2 1/4 which will equal 4 1/2
1. (02.01)
Solve -4(x + 10) - 6 = -3(x - 2). (1 point)
-40
-46
-52
52
Answer:
-52
Step-by-step explanation:
-4(x + 10) - 6 = -3(x - 2)
Distribute the left side to get:
(-4x + -40) - 6
Now distribute the right side to get:
-3x + 6
Arrange the equation as the following:
-4x - 40 - 6 = -3x + 6
Add the like terms on each side:
-4x - 46 = -3x + 6
Do the inverse operation of each term:
-x = 52
Now we need to get x to become a positive, so we just divide -x by -1 to get x.
And 52/-1 to get our final answer of -52.
Answer: -52
Step-by-step explanation:
-4(x + 10) - 6 = -3(x - 2)
Distribute the left side to get:
(-4x + -40) - 6
Now distribute the right side to get:
-3x + 6
Arrange the equation as the following:
-4x - 40 - 6 = -3x + 6
Add the like terms on each side:
-4x - 46 = -3x + 6
Do the inverse operation of each term:
-x = 52
Now we need to get x to become a positive, so we just divide -x by -1 to get x.
And 52/-1 to get our final answer of -52.
Define business.Write the type of business
Answer:
A company or an entrepreneurial entity engaged in commercial, industrial, or professional activity is referred to as a business. A limited liability company (LLC), a sole proprietorship, a corporation, and a partnership are examples of different types of businesses.
I NEED THE ANSWER SOON PLEASE!!?!?! hopefully someone sees this
Answer:
1 and 1/25
Step-by-step explanation:
Find the length of the missing side. If necessary, round to the nearest tenth. 40 and 35
Answer: 53.2
Step-by-step explanation:
Using pythagorean theorem, a^2 + b^2 = c^2
40^2 + 35^2 = sqrt of 2825
which is 53.15
rounded up to nearest tenth is 53.2
math can you guys help me PLS
Answer:
The surface area of the triangular prism is 84 square centimeters.
Step-by-step explanation:
The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.
Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.
But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:
The two congruent triangular bases:
1/2 x 4 x 3 = 6 cm^2
6 x 2 = 12 cm^2
Lateral bottom rectangular face:
6 x 3 = 18 cm^2
Lateral to the right rectangular face:
5 x 6 = 30 cm^2
Lateral to the left rectangular face:
4 x 6 = 24 cm^2
Add up all the values:
12 + 18 + 30 + 24 = 84
The SA is 84 square centimeters
Find the time it takes for $6,400 to double when invested at an annual interest rate of 19%, compounded
continuously.
years
Find the time it takes for $640,000 to double when invested at an annual interest rate of 19%, compounded
continuously.
years
Give your answers accurate to 4 decimal places.
Question Holn Video M Message instructor
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Answer:
3.6481 years
Step-by-step explanation:
The doubling time is not a function of the amount invested. It can be found by considering the account balance multiplier:
2 = e^(rt) = e^(0.19t)
Taking logs, we can solve for t:
ln(2) = 0.19t
t = ln(2)/0.19 ≈ 3.6481431
Rounded to 4 decimal places, the doubling time is 3.6481 years, for either balance.
Not sure how to do this
Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the sample mean?
Choose the correct answer below.
A. 15.0 mm
B. 52.5 mm
C. 7.5 mm
D. Somewhere between 45mm and 60mm, but the exact value cannot be determined without more information.
Answer:
I cannot understand this question
Step-by-step explanation:
I don't know what is in the question
Can someone help me out
Answer:
236m^2
Step-by-step explanation:
8x5=40x2=80
6x5=30x2=60
6x8=48x2=96
80+60+96=236
PLSSS HELP IM STRUGGLING SO HARD !!! ———————
Answer:
C)
Step-by-step explanation:
Just see the length of the R line, A and B are almost the same large when you add them.
Pls if anyone knows the answer that will be greatly appreciated :)
Answer:
For octagon =1080.......
Explanation:
180(8-2)
180×6
1080°
Form a union for the following sets.
M = {1, 2, 4, 8)
N = (2,5,8)
Answer:
Step-by-step explanation:
When you are asked to find the union of sets you find numbers that are present in both sets.
So a number that appears in both the sets of M and N are 2 and 8.
So M U N = { 2,8} where U is the symbol for union.
210
To rationalize the denominator of
3.11,You should multiply the expression by which fraction?
11
2- V10
2- 10
3- V11
3- V11
We should multiply the expression by √11/ √11 fraction.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
To rationalize this, we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 2-√10 and its conjugate is; (2+√10).
(2√10)/(3√11) = (2√10)/(3√11)
= ((2√10)√11/(3√11) √11
= (2√110)/33
This is the rationalized expression.
Learn more about multiplications;
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metal is made using copper, zinc and lead in thr ratio 13:6:1 . if the mass of the zinc is 90kg, calculate the mass of the lead
============================================
Explanation:
Let x be the mass of the lead, and this mass is in kg.
The ratio 13:6:1 can be scaled up to 13x:6x:1x after multiplying all parts by x.
The portion in the middle (6x) represents how much zinc we have, while the last part (1x or simply x) is the amount of lead.
----------------
We're told that we have 90 kg of zinc. Set this equal to 6x and solve for x
6x = 90
6x/6 = 90/6 ..... dividing both sides by 6
x = 15
So we have 15 kg of lead
Side note: we also have 13x = 13*15 = 195 kg of copper.
Can someone help please
( x - 2 )( x - 8 )( x + 5 ) =
( x^2 - 10x + 16 )( x + 5 ) =
x^3 - 10x^2 + 16x + 5x^2 - 50x + 80 =
x^3 + ( - 10 + 5 )x^2 + ( 16 - 50)x + 80 =
x^3 - 5x^2 - 34x + 80
in the box of Stones ,the ratio of red marbles is 2:5. the ratio of green stones to the total stones is 3:10 .if the stones that are neither red nor green are blue ,how many blue are in the box.if there are 40 marbles in the box?.
Which of the following best describes the line that divides a design so that
every point on one side of the line coincides with a point on the other side of
the line?
A. Line of Symmetry
B. Point of Translation
C. Angle of Symmetry
D. Point of congruency
Answer:
Line of Symmetry i think
Line of symmetry best describes the line that divides a design so that every point on one side of the line coincides with a point on the other side of the line.
What is Coordinate Geometry?Coordinate Geometry (or the analytic geometry) describes the link between geometry and algebra through graphs involving curves and lines.
A line of symmetry is a line that divides a figure into two congruent parts such that if one part is folded over the line of symmetry, it will coincide with the other part.
In other words, each point on one side of the line of symmetry is equidistant from the line as the corresponding point on the other side of the line.
The line that divides a design so that every point on one side of the line coincides with a point on the other side of the line is called the Line of Symmetry.
Hence, line of symmetry best describes the line that divides a design so that every point on one side of the line coincides with a point on the other side of the line.
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