as estimate √200 to the nearest who le numbers
Answers
Answer:
10√2
or in decimal form:
14.1
Hope this helps! <3
(Blank space filler)
Related Questions
Phil is riding his bike. He rides 15 miles in 3 hours, 30 miles in 6 hours, and
45 miles in 9 hours. What is Phil's constant rate (k) in SIMPLEST FORM. *
4 points
1/5 miles per hour
3/15 miles per hour
5/1 miles per hour
5 miles per hour
Answers
Answer:
5 miles per hour
Step-by-step explanation:
A bag contains 4 blue marbles, 9 green marbles, and 5 red marbles. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?
Answers
Answer:
4blue marble+9 green marble+5 red marble=18marble totle
1 marble probility=1/17
A parallelogram has sides of lengths 8 and 7 and one angle is 36 degrees. What is the length of the smaller diagonal? What is the length of the longer diagonal?
Answers
Answer:
Smaller Diagonal = 4.7
Larger Diagonal = 14.3
Step-by-step explanation:
A parallelogram has sides of lengths 8 and 7 and one angle is 36 degrees. What is the length of the smaller diagonal? What is the length of the longer diagonal?
a) We solve for the smaller diagonal
The formula is given as:
d = √a ² + b² - 2ab Cos A
a = 8, b = 7
d = √8² + 7² - 2 × 8 × 7 × Cos 35
d = √ 113 - 90.60990337
d = √22.39009663
Approximately = 4.7
b) Solving for the larger diagonal
D = √a² + b² + 2ab Cos A
D = √8² + 7² + 2 × 8 × 7 × Cos 36
D = √64 + 49 + 90.60990337
D = √113 +90.60990337
D = √(203.60990336999998)
D = 14.269194209
Approximately = 14.3
Simplify the expression: (3.45× 10-²) ÷ (2.03 x 10-⁵)
Answers
Recall that we want to solve this problem
\(\frac{3.45\cdot10^{-2}}{2.03\cdot10^{-5}}\)We will use the following property, given a nonzero number a and numbers b,c we have that
\(\frac{a^b}{a^c}=a^{b-c}\)So if we divide two numbers that have the same base, we can simply subtract their exponents.
So, using the properties of multiplication of fractions, we get
\(\frac{3.45\cdot10^{-2}}{2.03\cdot10^{-5}}=\frac{3.45}{2.03}\cdot\frac{10^{-2}}{10^{-5}}=\frac{3.45}{2.03}\cdot10^{-2-(-5)}=\frac{3.45}{2.03}\cdot10^3^{}\)With help of a calculator, we will calculate 3.45/2.03. By doing so, we get that
\(\frac{3.45}{2.03}=1.6995073\)So we have
\(\frac{3.45\cdot10^{-2}}{2.03\cdot10^{-5}}=1.6995073\cdot10^3=1699.5073\)Evaluate each expression if a = 4, b = 6, and c = 2.
Answers
Answer:
26
Step-by-step explanation:
ab+c
plug in #s
4(6)+2
start to solve
24+2
26
We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .
Answers
Answer:
By the Substitution property, the measure of angle ABC is equal to GHI.
Step-by-step explanation:
According to the Question,
Since we have,
Angle ABC and angle DEF are congruent ⇒ ∠ABC = ∠DEF-------(1 ) Similarly,angle GHI and angle DEF are congruent ⇒ ∠GHI = ∠DEF------(2)On substituting the value of from equation (1) to equation (2)
We get, ∠ABC = ∠GHI ∴ ∠ABC ≅ ∠GHI
Thus, By the Substitution property
The measure of angle ABC is equal to angle GHI.
what is 8.1, 8.16, 8.106, 7.1242 from least to greatest?
Answers
Answer:
7.1242, 8.1, 8.106, 8.16
Step-by-step explanation:
The price for 2 mangoes and 3 guavas is RM 8.00. The price for 3 mangoes and a guava is RM 5.00
i) Form simultaneous linear equations in two variables based on the above situation.
ii) Represent the simultaneous linear equations graphically and explain the type of solutions obtained
Answers
here is the answer for question ii
Max is mountain hiking at a constant rate. This equation y = 10x 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking. Which statement best describes Max's elevation, given this equation?.
Answers
Answer:
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
Step-by-step explanation:
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking
Max started at the height of 30 meters and is ascending at a rate of 10 meters per hour. Then the correct option is A.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The equation is y = 10x + 30.
Where y is Max's elevation in meters and x is the number of hours.
Max has been hiking.
From the equation, we can conclude.
Max is ascending at a rate of 10 meters per hour.
Max is at the height of 30 meters at the starting.
Thus, option A is correct.
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How can the triangles be proven similar by the SAS
similarity theorem?
Answers
Answer:
hope it helps..
Step-by-step explanation:
In SAS similarity theorem if two sides of one triangle are proportional to two sides of another triangle and angle between them are congruent then the triangle are similar.
A company manufactures a certain over-the-counter drug. The company samples 80 pills and finds that the mean amount of drug in the pills is 325.5 mg with a standard deviation of 10.3 mg. Find the 90% confidence interval for the mean of all the pills.'
Answers
To find the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company, we can use the following formula: CI = X ± Zα/2 * (σ/√n).
Where:
X = sample mean = 325.5 mg
σ = sample standard deviation = 10.3 mg
n = sample size = 80
Zα/2 = the critical value of the standard normal distribution corresponding to a 90% confidence level, which is 1.645.
Plugging in the values, we get:
CI = 325.5 ± 1.645 * (10.3/√80)
CI = 325.5 ± 2.38
CI = (323.12, 327.88)
Therefore, we can say with 90% confidence that the mean amount of drug in all the pills manufactured by the company is between 323.12 mg and 327.88 mg.
1. Calculate the standard error (SE) by dividing the standard deviation by the square root of the sample size:
SE = 10.3 mg / √80 ≈ 1.15 mg
2. Find the critical value (z) for a 90% confidence interval using a standard normal distribution table or calculator. In this case, the critical value is approximately 1.645.
3. Calculate the margin of error (ME) by multiplying the critical value (z) by the standard error (SE):
ME = 1.645 × 1.15 mg ≈ 1.89 mg
4. Determine the confidence interval by adding and subtracting the margin of error from the sample mean:
Lower Limit = 325.5 mg - 1.89 mg ≈ 323.61 mg
Upper Limit = 325.5 mg + 1.89 mg ≈ 327.39 mg
Thus, the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company is approximately 323.61 mg to 327.39 mg.
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Please let me know the answer to this 5^2+10^2=
Answers
Answer:
5^2+10^2=25+100=125
Step-by-step explanation:
Answer: 125
Step-by-step explanation: 5² + 10² = 25 + 100
Lisa sells cars for a salary of 2500 per month plus 2% commission of her total car sales. What should her total of car sales be to earn 3500 a month
Answers
Answer:
$50,000
Step-by-step explanation:
Let x = car sales
We multiply x by 0.02 since she earns 2% along with the added $2500 so that she can end up with $3500
3500 = 0.02x + 2500
Subtract 2500 from both sides
3500 - 2500 = 0.02x + 2500 - 2500
1000 = 0.02x
Divide both sides by 0.02
1000/0.02 = 0.02x/0.02
x = 50000
ABCD is a Rhombus with side length 10 cm. Angle ADC = 40. DAC is a sector of a circle with center D. BAC is a sector of a circle with center B. Calculate the shaded area.
Answers
The value of the shaded area is approximately 34.907 square centimeters.
How to calculate the area between a rhombus and a circle
According to the description in statement we prepared a representation of the figure in the image attached below. The shaded area is equal to the area of the circle sector (\(A\)), in square centimeters:
\(A = \frac{\theta\cdot \pi \cdot R^{2}}{360}\) (1)
Where:
\(R\) - Length of the radius, in centimeters. \(\theta\) - Angle of circle arc, in degrees.If we know that \(\theta = 40^{\circ}\) and \(R = 10\,cm\), then the area of the circle is:
\(A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}\)
\(A\approx 34.907\,cm^{2}\)
The value of the shaded area is approximately 34.907 square centimeters. \(\blacksquare\)
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what's 7+3x=-11 with x=-1 as the prove
Answers
Answer:
7+3x=-11 and X= 1
7+3(-1)=-11
4=-11
Step-by-step explanation: I think this is it sorry if I’m wrong
Factor 3(8x-4)
Sbshbshsbsh
Answers
Answer:
i think its 24x-12? sorry if it is wrong
For the function A whose graph is shown, state the following. (If the limit is infinite, enter '[infinity]' or '-[infinity]', as appropriate. If the limit does not otherwise exist, enter DNE.)
The x y-coordinate plane is given. The function enters the window in the second quadrant, goes up and right becoming more steep, exits just to the left of x = −3 in the second quadrant nearly vertical, reenters just to the right of x = −3 in the second quadrant nearly vertical, goes down and right becoming less steep, crosses the x-axisat x = −2, goes down and right becoming more steep, exits the window just to the left of x = −1 in the third quadrant nearly vertical, reenters just to the right of x = −1 in the third quadrant nearly vertical, goes up and right becoming less steep, crosses the y-axis at approximately y = −0.6, changes direction at the approximate point (0.5, −0.5) goes down and right becoming more steep, exits the window just to the left of x = 2 in the fourth quadrant nearly vertical, reenters just to the right of x = 2 in the first quadrant nearly vertical, goes down and right becoming less steep, crosses the x-axis at x = 3,changes direction at the approximate point (4.5, −1.5), goes up and right becoming more steep, crosses the x-axis at approximately x = 6.5, and exits the window in the first quadrant.
(a) lim x → −3 A(x)
(b) lim x → 2− A(x)
(c) lim x → 2+ A(x)
(d) lim x → −1 A(x)
(e)The equations of the vertical asymptotes. (Enter your answers as a comma-separated list.)
x =
Answers
The vertical asymptotes are x = -3, x = 2, and x = -1. So, the answer will be:x = -3, x = 2, x = -1
The answer to the given question is given below.
(a) lim x → −3 A(x)
The limit of the function at x = -3 is infinite.
So, the answer will be [infinity].(b) lim x → 2− A(x)
The limit of the function at x = 2 from the left side of the vertical asymptote is infinite.
So, the answer will be [infinity].(c) lim x → 2+ A(x)
The limit of the function at x = 2 from the right side of the vertical asymptote is -[infinity].
So, the answer will be -[infinity].
(d) lim x → −1 A(x)
The limit of the function at x = -1 is -[infinity].
So, the answer will be -[infinity].
(e) The equations of the vertical asymptotes.
The vertical asymptotes are x = -3, x = 2, and x = -1. So, the answer will be:x = -3, x = 2, x = -1
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PLZZZ HLPPP MEEE The S's in the SSS Similarity theorem states that two triangles are similar if they have ___________ proportional sides
Answers
Answer:
3
Step-by-step explanation:
SSS similarity states that all 3 sides must be proportional for the triangles to be similar
Please answer the following??????/
Answers
Answer:
I would be 3 8/10
Step-by-step explanation:
hope this helps
determine all the odd primespsuch that 5 is a square modulop. you should write an explanationfor your answer in complete sentences
Answers
Let p be an odd prime number. If 5 is a square modulo p, then there exists an integer k such that 5 ≡ k² (mod p).In other words, k² - 5 is divisible by p.
We consider two cases:Case 1: p divides \((k - √5)Let a = k - √5 and b = k + √5\). Then a and b are conjugate complex numbers. We have \(ab = (k - √5)(k + √5) = k² - 5 ≡ 0 (mod p)\).Since p divides a, we have a ≡ 0 (mod p). Therefore, k ≡ √5 (mod p). Since p is an odd prime, k is either equal to \(√5 or -√5\) modulo p. In particular, k is nonzero modulo p.Case 2: p divides (k + √5)
Let \(a = k - √5 and b = k + √5.\)
Then a and b are conjugate complex numbers. We have \(ab = (k - √5)(k + √5) = k² - 5 ≡ 0 (mod p)\).
Since p divides b, we have b ≡ 0 (mod p). Therefore, k ≡ -√5 (mod p). Since p is an odd prime, k is either equal to √5 or -√5 modulo p. In particular, k is nonzero modulo p.In conclusion, if 5 is a square modulo an odd prime p, then k is nonzero modulo p and either k ≡ √5 (mod p) or k ≡ -√5 (mod .
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Which best describes what the Central Limit Theorem states? The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough. All distributions have the same mean. The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough. All distributions are close enough to normally distributed to use the normal distribution as a approximation.
Answers
The statement that best describes the Central Limit Theorem is (a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.
The Central Limit Theorem (CLT) states that if repeated random samples is taken from a population with a finite mean and standard deviation, then the distribution of the sample means will approach a normal distribution, even if the original population is not normally distributed.
The larger the sample size, the more closely the sample means will approximate a normal distribution.
which means that, for example, if we take multiple samples of size 100 from a population and calculate the average of each sample, the distribution of those sample means will be approximately normally distributed, regardless of the original shape of the population.
The given question is incomplete , the complete question is
Which best describes what the Central Limit Theorem states ?
(a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.
(b) All distributions have the same mean.
(c) The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough.
(d) All distributions are close enough to normally distributed to use the normal distribution as a approximation.
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Y=3x-7 Y=3x+4 solving the special system of liner equations ?
Answers
Answer:
No Solution.
Step-by-step explanation:
y=3x-7
y=3x+4
-----------
3x-7=3x+4
3x-3x-7=4
-7=4
no solution.
Collin wanted to purchase a truck with four-wheel drive, a CD player, and a GPS. Since he had saved just enough for the base model without these features, he decided to buy the base model and forego getting a car loan. Which biblical principle did he follow?
Answers
Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.
A car loan is what?With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.
Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.
The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.
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bro pls I need this quick
Answers
Answer: I think 47.5in^2
Step-by-step explanation:
The diagonals of the rugby show below have the length of 14 CM and 12 CM what is the approximate length of a side of the rhombuso
Answers
The approximate length of a side of the rhombus is 10.67 cm.
A rhombus is a quadrilateral with all sides of equal length.
The diagonals of a rhombus bisect each other at right angles.
Let's label the length of one diagonal as d1 and the other diagonal as d2.
In the given rugby-shaped figure, the length of d1 is 14 cm, and the length of d2 is 12 cm.
Since the diagonals of a rhombus bisect each other at right angles, we can divide the figure into four right-angled triangles.
Using the Pythagorean theorem, we can find the length of the sides of these triangles.
In one of the triangles, the hypotenuse is d1/2 (half of the diagonal) and one of the legs is x (the length of a side of the rhombus).
Applying the Pythagorean theorem, we have \((x/2)^2 + (x/2)^2 = (d1/2)^2\).
Simplifying the equation, we get \(x^{2/4} + x^{2/4} = 14^{2/4\).
Combining like terms, we have \(2x^{2/4} = 14^{2/4\).
Further simplifying, we get \(x^2 = (14^{2/4)\) * 4/2.
\(x^2 = 14^2\).
Taking the square root of both sides, we have x = √(\(14^2\)).
Evaluating the square root, we find x ≈ 10.67 cm.
Therefore, the approximate length of a side of the rhombus is 10.67 cm.
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suppose that the number of minutes between eruptions for a certain geyser can be modeled by the exponential distribution and that the mean time between eruptions is 72 minutes. what is the probability that the geyser will erupt in the next hour?
Answers
The probability that the geyser will erupt in the next hour is 0.6321 or 63.21%.
To find the probability that the geyser will erupt in the next hour, we can use the exponential distribution formula. The terms involved in this problem are:
1. Exponential distribution
2. Mean time between eruptions (72 minutes)
3. Probability
Step 1: Convert the given hour to minutes. There are 60 minutes in an hour.
Step 2: Calculate the parameter for the exponential distribution. Since the mean time between eruptions is 72 minutes, the parameter (λ) is equal to the reciprocal of the mean, which is 1/72.
Step 3: Use the cumulative distribution function (CDF) formula for the exponential distribution to find the probability of the geyser erupting within the next 60 minutes.
\(CDF(x) = 1 - e^{(-λx)}\)
Step 4: Plug in the values into the formula:
\(CDF(60) = 1 - e^{(-1/72 * 60)}\)
Step 5: Calculate the result:
\(CDF(60) ≈ 1 - e^{(-60/72)} ≈ 1 - e^{(-5/6) }≈ 0.6321\)
So, the probability that the geyser will erupt in the next hour is approximately 0.6321 or 63.21%.
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Find x , if someone can help me with all my hw please lmk
Answers
Answer:
ok so if we look at this other one we can see that the other angle is 45
since we now all three angles we can find the other side
Side a = 4
Side x = 5.65685 = 4√2
Side c = 4
5.66
Hope This Helps!!!
Answer: 4√2
Step-by-step explanation:
In a triangle with angles 45 degrees, 45 degrees, and 90 degrees, the side opposite the 90 degree angle is a√2, and here a is 4, so the answer is 4√2.
g(x)= x^2-5 9x-17 (x+1)(x-5) g(7)=
Answers
The solution for g(7) in the piecewise function g(x) = (x + 1)(x - 5) is 16
How to determine the solution for the function?From the question, we have the equation that can be used in our computation to be a piecewise function
This piecewise function is represented as g(x)
Also from the question, we have the following function that we are to compute
g(7)
This means that the value of x is 7, and we calculate g(x) when x = 7
To do this, we make use of an equation in the piecewise function, where the domain occupies x = 7
This domain is x c (2, oo)
And the function is
g(x) = (x + 1)(x - 5)
Substitute the known values in the above equation, so, we have the following representation
g(7) = (x + 1)(x - 5)
So, we have the following equation
g(7) = (7 + 1)(7 - 5)
There is no constant to add or subtract to both sides of the equation
Also, there is no factor to multiply or divide from both sides of the equation
So, we have the following representation
g(7) = (7 + 1)(7 - 5)
Solving further, we have
g(7) = 16
Hence, the solution is 16
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. If Ya/n and Y2/n are the respective independent relative frequencies of success associated with the two binomial distributions b(n, P1) and b(n, P2), compute n such that the approximate probability that the random
interval (Y1/n - Y2/n) ‡ 0.05 covers pi - p2 is at least 0.80. HINT: Take p* = P° = 1/2 to provide an upper bound
for n.
Answers
we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.
To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.
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In the graph, what fraction does the arrow point to?
Answers
3/4
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