Answers
Answer:
12
Step-by-step explanation:
according to the pythagorous theorem
Related Questions
Find the midpoint of endpoints -6 and -10
Answers
find the first term 43, 39, 35, 31, 27,
Answers
Answer:
23
Step-by-step explanation:
the difference between each number in the sequence is 4. Taking 4 away from 27 gives you 23
Hope this helps!
-2x+10y=25
X-25y=3
Elimination method
Answers
Answer:
equation form: x=-131/8y -31/40
Step-by-step explanation:
this is addition/elimination
Step-by-step explanation:
(-2x+10y=25) × 2.5
-5x+25y=62.5
x-25y=3
-5x+x+25y-25y=62.5+3
-4x=65.5
x =65.5÷4
=16.375
16.375-25y=3
-25y=3-16.375
-25y=-13.375
y=- 13.375÷-25
=0.535
i tried.
A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 12 of the plates have blistered
(a) Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) State and test the appropriate hypotheses using a significance level of 0.05.
(b) If it is really the case that 16% of all plates blister under these circumstances and a sample size 100 is used, how likely is it that the null hypothesis of part (a) will not be rejected by the 0.05 test? (Round your answer to four decimal places.)
(c) If it is really the case that 16% of all plates blister under these circumstances and a sample size 200 is used, how likely is it that the null hypothesis of part (a) will not be rejected by the 0.05 test? (Round your answer to four decimal places.)
(d) How many plates would have to be tested to have β(0.16) = 0.10 for the test of part (a)? (Round your answer up to the next whole number.)
Answers
(a) The test statistic is z = -1.89 and the P-value is 0.0294. (b) The probability of not rejecting the null hypothesis with 100 plates tested is 0.0046. (c) The probability of not rejecting the null hypothesis with 200 plates tested is 0.0028. (d) To have β(0.16) = 0.10, 386 plates would need to be tested.
(a) The null hypothesis is that the proportion of blistered plates is 0.16, and the alternative hypothesis is that the proportion is less than 0.16. Using a one-tailed z-test with a significance level of 0.05, the test statistic is z = (0.12 - 0.16) / sqrt((0.16 * 0.84) / 100) = -1.89. The P-value is P(z < -1.89) = 0.0294.
(b) Using the binomial distribution with n = 100 and p = 0.16, the probability of not rejecting the null hypothesis is P(X ≤ 11) = 0.0046.
(c) Using the binomial distribution with n = 200 and p = 0.16, the probability of not rejecting the null hypothesis is P(X ≤ 23) = 0.0028.
(d) Using the formula for the sample size required to achieve a specific level of power,
n = (zα + zβ)² * (p0 * q0 + p1 * q1) / (p1 - p0)²,
where zα is the z-value corresponding to the chosen significance level, zβ is the z-value corresponding to the desired level of power, p0 and q0 are the null values of the proportion and its complement, and p1 is the alternative value of the proportion, we can solve for n with p0 = 0.16, q0 = 0.84, p1 = 0.12, α = 0.05, and β = 0.10.
Plugging in the values gives
n = (1.645 + 1.28)² * (0.16 * 0.84 + 0.12 * 0.88) / (0.12 - 0.16)² = 385.6, which rounds up to 386. Therefore, at least 386 plates would need to be tested to have a 90% chance of detecting a true proportion of 0.12.
To know more about null hypotheses:
brainly.com/question/28331914
#SPJ4
What is the crf variable that you will measure? why is this variable appropriate for the target population? explain in detail citing the scientific literature.
Answers
The crf variable that you will measure is fasting glucose and lipids. This variable is appropriate for the target population due to the regards to risk factors such as diabetes and obesity.
What is CRF variable?This is referred to as discriminative model which predict sequences in the area of conditional probability.
In this scenario, the crf variable measures fasting glucose and lipids in individuals due to them being risk factors for diabetes etc.
Read more about Probability here https://brainly.com/question/251701
#SPJ4
2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
Answers
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Learn more about expression from
https://brainly.com/question/723406
#SPJ11
Is the number -22 an integer?
Answers
Answer:
Yes
Step-by-step explanation:
Any whole number is an integer.
Yes, because any whole number, positive or negative, is an integer.
What integer would represent a withdrawal of $170?
Answers
The withdrawal of $170 can be represented as -$170.
Since withdrawal results in a deduction of the money from the total amount, Hence, it will be represented as a negative value.
What are Integers?The number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer denoted by a minus sign (1, 2, 3, etc.) are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common mathematical symbol for the set of integers.The lowest group and ring of the natural numbers are formed by the integers. To distinguish them from the more generic algebraic integers, the integers in algebraic number theory are occasionally designated as rational integers. In actuality, (rational) integers are rational numbers that are also algebraic integers.To learn more about Integers, refer to:
https://brainly.com/question/1768255
#SPJ13
please put the answers in order 1-5. what are the correct answers for
1
2
3
4
5
Answers
Answer:
32311Step-by-step explanation:
probability is between 0 to 1 so closest to 1 is answeras mentioned theoretical, so probability of throwing a dice n getting head is equal as of tail so half is answerexperimental can be calculated by counting head which r 11in options 1 max cases r covered in option 1 as there r equal chances of each shape and total r 6 shapes so nonagon is one of themtherefore favourable/total outcomes
hope it helps
Twice a number y is more than
-2.5
Answers
Answer:
2y >= 5/2
Step-by-step explanation:
HELLO CAN SOMEONE PLEASE ANSWER THIS ASAP !!!
Jacob is ordering custom T-shirts for his soccer team. Long-sleeved shirts cost $15 each and short-sleeved shirts cost $10 each. Jacob can spend at most $250 and he wants to order at least 20 shirts.
Let x represent the number of long-sleeved shirts. Let y represent the number of short-sleeved shirts.
Which inequalities are among the constraints for this situation?
Select each correct answer.
A: 15x +10y ≥ 20
B: x + y ≤ 20
C: 15x +10y ≥ 250
D: x + y ≥ 20
E: x + y ≤ 250
F: 15x + 10y ≤ 250
Answers
7.
Which is a factored form of 8x³ + 27? (1 point)
O (2x+3)(2x+3)(2x + 3)
O (2x+3)(4x² - 6x +9)
○ (2x − 3)(4x² + 6x + 9)
O(2x-9)(4x² + 18x +81)
Answers
Answer:
B) (2x + 3)(4x² - 6x + 9)-----------------------------------
Given sum of cubes, use identity a³ + b³ = (a + b)(a² - ab + b²):
8x³ + 27 = (2x)³ + 3³ = (2x + 3)((2x)² - (2x)(3) + 3²) = (2x + 3)(4x² - 6x + 9)The matching choice is B.
Answer:
B) (2x + 3)(4x² - 6x + 9)
Step-by-step explanation:
Given expression:
\(8x^3+27\)
Rewrite 8 as 2³ and 27 as 3³:
\(\implies 2^3x^3+3^3\)
\(\textsf{Apply exponent rule} \quad a^nc^n=(ac)^n:\)
\(\implies (2x)^3+3^3\)
\(\boxed{\begin{minipage}{5 cm}\underline{Sum of Cubes Formula}\\\\$a^3+b^3=(a+b)(a^2-ab+b^2)\\\end{minipage}}\)
Therefore:
a = 2xb = 3Using the Sum of Cubes formula:
\(\begin{aligned}\implies (2x)^2+3^3&=(2x+3)((2x)^2-2x(3)+3^2)\\&=(2x+3)(4x^2-6x+9)\end{aligned}\)
In a five-card hand drawn at random from a well-shuffled standard deck, what is the distribution of the number of aces in the hand?
Using the distribution, compute the probability that the hand has exactly three aces.
Answers
The distribution of the number of aces in a five-card hand drawn at random from a well-shuffled standard deck can be calculated using the binomial probability formula. The binomial probability formula is:
P(X = k) = (nCk) * (p^k) * ((1-p)^(n-k))
where:
- n is the number of trials (in this case, 5 cards drawn)
- k is the number of successes (aces) we want to achieve
- nCk is the number of combinations of n items taken k at a time
- p is the probability of success (in this case, the probability of drawing an ace)
- 1-p is the probability of failure (in this case, the probability of not drawing an ace)
To compute the probability that the hand has exactly three aces, we can use the formula with k = 3:
P(X = 3) = (5C3) * (4/52)^3 * (48/52)^2
Step-by-step calculation:
1. Calculate 5C3 (combinations of 5 items taken 3 at a time): 5!/(3!*(5-3)!) = 10
2. Calculate the probability of drawing 3 aces: (4/52)^3 ≈ 0.000180175
3. Calculate the probability of drawing 2 non-aces: (48/52)^2 ≈ 0.806122
4. Multiply the results: 10 * 0.000180175 * 0.806122 ≈ 0.00145343
The probability that the hand has exactly three aces is approximately 0.00145 or 0.145%.
To know more about "probability" refer here:
https://brainly.com/question/30034780#
#SPJ11
simplify the expression by combining like terms; 4z+4-z+5
Answers
Answer:
3z+9
Step-by-step explanation:
=4z+4-z+5
=4z-z+4+5
=3z+9
Bart budgeted $285.75 each month for utilities. His utility bills this month were $130.50 for electric, and $240 for gas. How much over budget is he? *
!!
Answers
Answer:
$84.75 over budget
Step-by-step explanation:
Barts' budget is 285.75
Bills: 240 + 130.50 = $370.50
(subract by his budget)
370.5 - 285.75 = $84.74
:)
simplify....
please solve it.
Answers
(m/(n(m-n))) + (n/(m(n-m)))
Take mn(m-n)(n-m) as a common denominator
(m(m(n-m)) + n(n(m-n))) / (mn(m-n) (n-m))
= (m(mn-m^2) + n(nm-n^2)) / ((m^2n-mn^2)(n-m))
= (m^2n-m^3+n^2m-n^3) / (m^2n^2-m^3n-mn^3+m^2n^2)
= (m^2n-m^3+n^2m-n^3) / (2m^2n^2-m^3n-mn^3)
This is the final answer
Hope this helps :)
If cat weights have a distribution with mean 18 and standard deviation of 5, what is the sampling distribution of the sample mean for samples of size 400
Answers
The sampling distribution of the sample mean for samples of size 400 has a mean of 18 and a standard deviation of 0.25.
To find the sampling distribution of the sample mean, we need to calculate the mean and standard deviation of the sample mean for samples of size 400.
The mean of the sample mean is equal to the mean of the population, which is given as 18.
The standard deviation of the sample mean is equal to the standard deviation of the population divided by the square root of the sample size. Therefore, the standard deviation of the sample mean can be calculated as:
standard deviation of the sample mean = standard deviation of the population / sqrt(sample size)
\(= 5 / \sqrt{(400)}\)
= 5 / 20
= 0.25
So the sampling distribution of the sample mean for samples of size 400 has a mean of 18 and a standard deviation of 0.25.
for such more question on sampling distribution
https://brainly.com/question/14298138
#SPJ11
Solve this problem.
348-3435+847
Answers
Answer:
3934Step-by-step explanation:
PLS MARK BRAILIESTAnswer:
-2240
Step-by-step explanation:
1. 348-3435 = -3087
2. -3087 + 847 = -2240
suppose arya stark draws a sample of 10 observations with a mean of 50 and a population standard deviation of 4. she would like to establish a 95% confidence interval. which formula would you tell her to use?
Answers
The formula Arya stark will use to find the 95% confidence interval is normal approximation of the distribution.
What is termed as the confidence interval?A confidence interval shows the likelihood that a parameter would then fall between two values near the mean.The amount of uncertainty as well as certainty inside a sampling method is measured by confidence intervals.They are also used to test hypotheses and perform regression analysis.For the given question, the data is-
Mean μ = 50Standard deviation σ = 4Confidence interval 95%Sample size n = 10.Sample mean = xThe formula for finding the 95% confidence interval is normal approximation of the distribution.
z = (x - μ)/s
Where, s = σ/√n
The corresponding value of z for 96% is taken from the z score table.
Thus, formula Arya stark will use to find the 95% confidence interval is normal approximation of the distribution.
To know more about the confidence interval, here
https://brainly.com/question/14825274
#SPJ4
Any has 10 pieces of fruit. 7 are apples and the rest are oranges.
She chooses a piece of fruit at random eats it then chooses a second piece of fruit at random
Please draw this
Answers
The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.
What fraction should go into the boxes?Total number of fruits Amy has = 10
Number of Apples = 7
Number of Oranges = 3
First random pieces of fruits chosen:
Probability of choosing Apples = 6/9
Probability of choosing Oranges = 3/9
Second random pieces of fruits chosen:
Probability of choosing Apples = 6/8
= 3/4
Probability of choosing Oranges = 2/8
= 1/4
Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.
Read more on probability:
https://brainly.com/question/251701
#SPJ1
A copy machine produces 40 copies in 5 minutes. How many copies can the machine make in 30 minutes? Explain how you know?
I dont know what to do please help me I have 9 minutes
Answers
Answer:
240 copies in 30 minutes
Step-by-step explanation:
they gave us the info that it makes 40 copies in 5 minutes, divide 40/5 and you get 8, which tells us that it makes 8 copies per minute.
multiply the 8 copies that it can make in a minute by the 30 minutes, 30*8 and you get 240 copies
hope this helps :)
help!!
find the area of the figure below
Answers
Answer:
395.5917959
Step-by-step explanation:
parallelogram area is 15 x 12
one half circle is 9^2\(\pi\)/2
the other is 7.5^2\(\pi\)/2
add all together
20%, 0.25, 2.5, 0.22, 2 from least to greatest
Answers
Answer:
0.2,0.22,0.25,2,2.5
Step-by-step explanation:
20%=20/100 OR 0.2
Answer:
20%, 0.22, 0.25, 2, 2.5
Step-by-step explanation:
HELP HELP HELP PLS If DF = 6x - 2 and FE = 10x - 18, then which the correct equation to solve for x? 2(6x - 2) = 10x - 18 6x - 2 +10x - 18 = 180 6x - 2 = 10x - 18
Answers
From what u have given this should be the correct answer since they are most likely equal
Did I get this right I need to know asp
Answers
Triangle xyz, z=61 degree, its nearest length If leg an is the missing side and xz=17.3 cm and xy=15.2 cm,
then change the equation to its original form when an is on one side and calculate the square root: a = √(c² - b²)
Leg b is undetermined if. For a missing hypotenuse c, the formula is b = (c2 - a2). c = √(a² + b²)
How do you calculate a triangle's third side?
Different Methods to Determine a Triangle's Third Side?
Use the Pythagorean Theorem while forming a right triangle. Use the isosceles triangle area formula to determine the area of a triangle. Use the law of cosines or the law of sines if you are familiar with some of the angles and other side lengths.
to learn more about Triangle's Third Side refer to:
https://brainly.com/question/18737876
#SPJ13
In a shipment of 53 vials, only 13 do not have hairline cracks. if you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks?
Answers
Calculating the likelihood of experiments happening is one of the branches of mathematics named as probability. The probability that none of the 2 vials have hairline cracks is 0.0565.
What is meant by probability?The study of probabilities, which exists defined by the ratio of favorable occurrences to probable cases, exists comprehended as probability.
The probability that there won't be any hairline cracks = 13/53
If you choose two vials at random from the delivery
Probability (avoiding hairline cracks) = 13 - 1/53 - 1
Probability (avoiding hairline cracks) = 12/52
To find the chance that neither of the two vials has a hairline crack is
(13/53) × (12/52) = 0.2452 × 0.2307
= 0.0565
The probability that none of the 2 vials have hairline cracks is 0.0565
To learn more about probability, refer to:
https://brainly.com/question/13604758
#SPJ4
What's length RD? _ m
What's length DM? _ m
What's length RM? _ m
What's the perimeter of the triangle? _ m
Answers
Answer:
10
23
36
Step-by-step explanation:
help
determine the quotient of 1 and 1 over 3 divided by 3 over 5 . (2 points)
Answers
Answer:
1/2 or .5
Step-by-step explanation:
1/3 / 3/5=.5
Select the correct answer.
What is the solution to this equation?
2 log2x log2 (2x)
-
A.
x = 18
3
Answers
What is the solution to this equation?
2 log2x log2 (2x)
-
A.
x = 18
2log2x -log2(2x) =3
log2x^2/2x =3
Log2x (x/2) = 3
8= x/2
X = 16
B
Consider the three displacement vectors A=(5^−3^)m,B=(3^−6^)m, and C=(−7i^+5^)m. Use the component method to determine the ollowing. (Take the +x direction to be to the right.) (a) the magnitude and direction of the vector D=A+B+C magnitude m direction ∘ counterclockwise from the +x axis (b) the magnitude and direction of E=−A−B+C magnitude m direction does not put the sum into the correct quadrant. ∘ counterclockwise from the +x axis
Answers
The magnitude and direction of vector D, which is the sum of vectors A, B, and C, are determined using the component method. The magnitude of D is approximately 13.0 meters, and its direction is approximately 132.8 degrees counterclockwise from the +x axis. The magnitude and direction of vector E, which is the sum of -A, -B, and C, are also determined. The magnitude of E is approximately 10.0 meters, but its direction does not fall into the correct quadrant and is not specified.
To find the magnitude and direction of vector D, we add the components of vectors A, B, and C. The x-component of D is (5 + 3 - 0) = 8, and the y-component is (-3 - 6 + 5) = -4. Using the Pythagorean theorem, the magnitude of D is calculated as follows:
|D| = sqrt((8)^2 + (-4)^2) ≈ 13.0 meters.
To determine the direction of D, we can use trigonometry. The angle θ that D makes with the +x axis can be found using the inverse tangent function:
θ = atan(-4/8) ≈ -27.2 degrees.
Since the angle is negative, we need to add 180 degrees to obtain the counterclockwise angle from the +x axis:
θ = -27.2 + 180 ≈ 152.8 degrees.
Therefore, the direction of vector D is approximately 132.8 degrees counterclockwise from the +x axis.
For vector E, which is the sum of -A, -B, and C, we follow the same process. The x-component of E is (-5 - 3 - 0) = -8, and the y-component is (-(-3) - (-6) + 5) = 2. The magnitude of E is then calculated as:
|E| = sqrt((-8)^2 + (2)^2) ≈ 10.0 meters.
However, the direction of E is not specified to be in the correct quadrant, so it cannot be determined precisely. The direction would depend on the specific values of the negative vectors and C.
Learn more about Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ11