Answer:
x = 4
Step-by-step explanation:
x + 1 = 5
- 1 -1
5 - 1 = 4
x = 4
Compute the following probabilities: a) If Y is distributed N(6,16), find Pr(Y>1). b) If Y is distributed N(2,25), find Pr(0≤Y≤5). c) If Y is distributed χ 1
2
, find Pr(Y≤1.0).
a) Pr(Y > 1) ≈ 0.8944. b) Pr(0 ≤ Y ≤ 5) ≈ 0.7580. c) Pr(Y ≤ 1.0) ≈ 0.6827. Explanation provided for each probability calculation.
a) If Y is distributed N(6,16), the probability of Y being greater than 1 can be found by calculating the z-score and referring to the standard normal distribution table.
Using the formula z = (Y - μ) / σ, where Y is the value of interest, μ is the mean, and σ is the standard deviation, we get z = (1 - 6) / √16 = -5/4.
By looking up the corresponding z-score in the standard normal distribution table, we find that Pr(Y > 1) is approximately 0.8944.
b) If Y is distributed N(2,25), the probability of Y being between 0 and 5 can be found by calculating the z-scores for both values and then finding the area between them in the standard normal distribution.
The z-score for 0 is (0 - 2) / √25 = -2/5, and the z-score for 5 is (5 - 2) / √25 = 3/5. By subtracting the cumulative probability of -2/5 from the cumulative probability of 3/5, we find that Pr(0 ≤ Y ≤ 5) is approximately 0.7580.
c) If Y is distributed χ^2(1), the probability of Y being less than or equal to 1.0 can be found by referring to the chi-square distribution table with 1 degree of freedom.
The probability Pr(Y ≤ 1.0) is approximately 0.6827.
Learn more about Probability click here :brainly.com/question/30034780
#SPJ11
What is the equation of the line with slope 4 and y-intercept (0, -1)? (Final answer should be in standard form.)
Answer:
The answer is 4x - y = 1
Maria scored 20 goals in 4 soccer games
last season. Approximately how many
points did Maria average per game?
Answer:
idek
Step-by-step explanation:
Jason works out everyday after school. He runs on the treadmill, swims and lift weights. On Friday, he lifted weights for 20 minutes and ran 25 minutes on the treadmill. What was the ratio of the number of minutes he lifted weights to the total number of minutes to his entire workout.
Answer:
4:9
Step-by-step explanation:
You already know the number of minutes he lifted weights which is 20 minutes, based on the question. Now, we just have to find the total number of minutes to his entire workout.
Total minutes to entire workout = 20 + 25
= 45 minutes
Number of minutes he lifted weights : Total number of minutes of his workout
20 : 45
4 : 9
(You can further simplify the ratio by dividing 20 and 45 by 5)
Matrix Algebra: Enter the following matrices: [ 5 2 -6 ] [ 3.8 0.6 1.8 ] [ -5 0 ]
A = [-6 3 -5 ] B = [ 0.9 -0.3 2.2 ] C = [ -5 -5 ]
[ 0 -4 4 ] [ 4.0 0.9 1.7 ] [ 3 3 ]
Compute the following: (i) AC (ii) A+B (iii) AB (iv) 4A + 4B
(v) A+ C
(vi) 1 + c (vii) CA (viii) BA (ix) B+A (x) 4(A + B) (a) Did MATLAB refuse to do any of the requested calculations? If so, which ones and why? (b) Does 4(A + B) = 4A + 4B ? (c) Does AB = BA? (d) What did 1+C do? (e) Does A + B = B+ A?
1+C is [-4 -4].
(i) AC = [13 -32 -40]
(ii) A + B = [-5.1 2.7 -2.8]
(iii) AB = [-13.3 10.3 -10.3]
(iv) 4A + 4B = [-20.4 10.8 -11.2]
(v) A + C = [-11 -9 -10]
(vi) 1 + C = [ -4 -4]
(vii) CA = [6 11 8]
(viii) BA = [-6.3 9.9 -9.9]
(ix) B + A = [-5.1 2.7 -2.8]
(x) 4(A + B) = [-20.4 10.8 -11.2]
(a) MATLAB may refuse to do some calculations if they are not mathematically valid. For example, the product of two matrices (AB) must have the same number of columns in the first matrix as the number of rows in the second matrix.
(b) Yes, 4(A + B) = 4A + 4B.
(c) No, AB ≠ BA.
(d) Adding a scalar to a matrix adds the scalar to each element of the matrix. In this case, 1+C is [-4 -4].
(e) Yes, A + B = B + A.
Learn more about matrices
brainly.com/question/11367104
#SPJ11
Simplify combining the like terms: (i) a – (a – b) – b – (b – a)
Hello !
\(a - (a - b) - b - (b - a)\\\\= a - a + b - b - b+a\\\\\boxed{= a - b}\)
Answer:
Step-by-step explanation:
a - ( a - b ) - b - ( b - a )
= a - a + b - b - b + a
= a - b
anyone else’s brainly heating up their phone like crazy
Mine is not heating up I don't know about others
ope has $900 in her checking account. she has $ 76 per month that she must pay bills .at most how many months,m, can she pay all of her bills without making any additional deposits?
Answer:
11 months
Step-by-step explanation:
Answer:11 Months
Step-by-step explanation:
Nine hundred divided 76 equals Months 900÷76=M
jennifer has 64 fair coins. she tosses all the coins. any coin that lands on tails is tossed again. coins that land on tails on the second toss are tossed a third time. what is the expected number of coins that are heads at the end?
The expected number of coins that are heads at the end after Jennifer has tossed 64 fair coins and those that landed on tails were tossed again is 32. the expected number of coins that are heads at the end is 48.
Here is a detailed explanation:Jennifer tosses 64 coins, and each coin has an equal chance of landing on either heads or tails. Thus, the probability that any one coin lands on heads is 0.5, and the probability that it lands on tails is also 0.5.When Jennifer tosses the 64 coins, some of them will land on tails.
Those coins will be tossed again. However, the probability of getting heads or tails for these coins is still 0.5 since the coins are fair.Therefore, the probability that a coin that has already been tossed and landed on tails to land on heads the second time is also 0.5.
The same applies to the third toss. The probability that a coin will land on heads or tails is 0.5.The total number of coins that land on tails during the first toss is given by
64*0.5 = 32.
Since these coins are tossed again, the expected number of coins that land on tails for the second toss is given by
32*0.5 = 16.
The remaining coins that landed on heads during the first toss are not affected. Thus, the expected number of coins that landed on heads during the first toss is
64 - 32 = 32.
The total number of coins that landed on heads during the first toss is given by 32.
Adding the expected number of coins that land on heads during the second toss (16),
the expected number of coins that land on heads is
32 + 16 = 48.
for more such question in probability
https://brainly.com/question/13604758
#SPJ11
a rock dropped into a pond causes a circular wave of ripples whose radius increases at 4 inches per second. how fast is the area of the circle of ripples expanding at the instant that the radius of the circle is 24 inches?
The rate of change of Area of the circle of ripples when radius is 24 inches is 602.88 in²/sec .
In the question ,
it is given that ,
a rock dropped in pond causes a circular waves of ripples ,
the rate at which the radius is increasing (dr/dt) = 4 in/sec .
let the radius of the circular ripples is = r ,
the area of the circular ripples is ; A = πr² ,
differentiating Area with respect to time(t) is ,
dA/dt = π×2r×(dr/dt)
to find the rate of change of area when the radius of circle is 24 inches ;
substituting dr/dt = 4 and r = 24 ,
we get ,
dA/dt = π×2×24×4
= 192×3.14 .
= 602.88 in²/sec
Therefore , the rate of change of Area is = 602.88 in²/sec .
Learn more about Rate Of Change here
https://brainly.com/question/29804310
#SPJ4
Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x2 – x – 7 = 0
Answer:
x ≈ - 2.193 , x ≈ 3.193
Step-by-step explanation:
x² - x - 7 = 0 ( add 7 to both sides )
x² - x = 7
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 0.5)x + 0.25 = 7 + 0.25
(x - 0.5)² = 7.25 ( take square root of both sides )
x - 0.5 = ± \(\sqrt{7.25}\) ≈ ± 2.693 ( add 0.5 to both sides )
x = 0.5 ± 2.693
then
x = 0.5 - 2.693 = - 2.193
x = 0.5 + 2.693 = 3.193
helllpppp i have a timed test
Answer:
X = 0, 5 1/2
Step-by-step explanation:
I can’t see what’s befor the 1
a couple plans to have three children. all arrangements are (approximately) equally likely. let x be the number of girls the couple has. what the probability that x is greater than or equal to 2
The probability that the couple will have more than 2 girls is 1/2.
Here, we are given that a couple is planning to have 3 children.
Let us list down all the possible combination of outcomes-
GGG, GGB, GBB, BBB
Here G stands for a girl and B for a boy.
Thus, there are a total of 4 outcomes. We need to find the probability that the number of girls is greater than or equal to 2.
Out of the listed outcomes, 2 combinations- GGG and GGB have number of girls ≥ 2.
We know that probability = Number of favorable outcomes/ total number of outcomes
P(x ≥ 2) = 2/4
= 1/2
Thus, the probability that the couple will have more than 2 girls is 1/2.
Learn more about probability here-
https://brainly.com/question/25870256
#SPJ4
were the results of the simple and the multiple linear regression tests different? if yes, how so?
A simple linear regression model only includes one independent variable, while a multiple linear regression model includes two or more independent variables. The purpose of both models is to examine the relationship between the dependent variable and the independent variable(s) and to make predictions based on that relationship.
If the same dependent variable and independent variable(s) were used in both the simple and multiple linear regression tests, then it is possible that the results could be different. The multiple linear regression model may provide a more accurate prediction of the dependent variable since it takes into account multiple independent variables. Overall, without more information about the data and the specific models used, it is difficult to determine whether the results of the simple and multiple linear regression tests were different or not.
To know more about variable visit :-
https://brainly.com/question/16906863
#SPJ11
Find the measure of angle PKL
what net force acting on a 14kg wagon produces an acceleration of 1.5 m/s2
The net force acting on a 14kg wagon that produces an acceleration of 1.5 m/s2 is 21N.
What is a force?Force is an external agent that is capable of changing the state of rest or motion of a body. It has a magnitude and a direction. The direction towards which the force is applied is known as the direction of the force, and the application of force is the point where force is applied.
It is simply known as a push or a pull.
The Force can be measured using a spring balance. The SI unit of force is Newton(N).
Force = mass x acceleration
Force = m x a
where mass = 14kg
acceleration = 1.5m/s2
Force = 14 x 1.5
Force = 21N
Learn more about forces here: https://brainly.com/question/12785175
#SPJ1
Almost done~!
❤️❤️❤️❤️❤️❤️❤️❤️✨✨✨✨✨✨✨✨✨✨
Answer:
<
Step-by-step explanation:
Hope this helps!
BRAINLIEST For the fastest answer
Hello I need help on this math question
Answer:
d is true
Step-by-step explanation:
Linear dimensions are multiplied by the scale factor. Area dimensions are multiplied by the square of the scale factor.
__
a.False
The area of the new garden will be (4/5)² = 16/25 of the area of the original garden.
__
b.False
see (a)
__
c.False
see (d)
__
d.True.
Perimeter is a linear dimension, measured in length units. The perimeter of the new garden will be 4/5 the perimeter of the old garden.
Estimate the indicated derivative by any method. (Round your answer to three decimal places.)g(t) = 7/t^5; estimate g'(1)g'(1) =-Use a quick approximation to estimate the derivative of the given function at the indicated point. (Round your answer to three decimal places.)f(x) = 4 − 3x; x = 2f '(2) =
The estimated derivatives are g'(1) ≈ -35.000 and f'(2) ≈ -3.000.
To estimate the derivative of g(t) at t=1, we can use the definition of the derivative as the limit of the difference quotient:
g'(1) = lim(h→0) [(g(1+h) - g(1))/h]
= lim(h→0) [(7/(1+h)^5 - 7)/h]
= lim(h→0) [(7 - 7(1+h)^5)/h(1+h)^5]
= lim(h→0) [(-35h - 70h^2 - 70h^3 - 35h^4 - 7h^5)/h(1+h)^5]
= lim(h→0) [(-35 - 140h - 210h^2 - 140h^3 - 35h^4)/(1+h)^5]
= -35
So, g'(1) ≈ -35.000
Similarly, to estimate the derivative of f(x) at x=2, we can use the definition of the derivative as the limit of the difference quotient:
f'(2) = lim(h→0) [(f(2+h) - f(2))/h]
= lim(h→0) [((4 - 3(2+h)) - (4 - 3(2)))/h]
= lim(h→0) [(-3h)/h]
= lim(h→0) [-3]
= -3
So, f'(2) ≈ -3.000
For more similar questions on derivative:
brainly.com/question/23819325
#SPJ11
The function shown models the depth d
(in inches) of snow on the ground during
the first 9 hours of a snowstorm, where t
is the time (in hours) after the snowstorm
begins.
The -intercept means that there
were[ Jinch(es) of snow on the ground at
the start of the storm and the slope
means that[ Jinch(es) of snow falls every
hour during the storm.
Function: d(t)= 1/2t 6
Answer:
\(Slope = \frac{1}{2}\)
\(y-intercept = 6\)
The y-intercept means that there were [6] inch(es) of snow on the ground at the start of the storm and the slope means that [1/2] inch(es) of snow falls every hour during the storm.
Step-by-step explanation:
Given
\(d(t) = \frac{1}{2}t + 6\)
Required
- Determine the slope and y intercept
- Fill in the gap
The format of a linear equation is:
\(y = mx + b\)
Where
\(m = slope\)
\(b = y-intercept\)
By comparing \(y = mx + b\) with \(d(t) = \frac{1}{2}t + 6\)
We have:
\(m = \frac{1}{2}\)
i.e.
\(Slope = \frac{1}{2}\)
and
\(b = 6\)
i.e.
\(y-intercept = 6\)
suppose 70% of jurors come to a just decision. in a jury of ten people, what is the probability more than half come to a just decision? (4 points)
Answer: 0.8497
Step-by-step explanation:
I got it right on the test
what is the difference of ( 3x^2 - 2x +5 ) - ( x^2 + 4x - 11 ) written in standard form ?
Answer:
–3x + 22
Step-by-step explanation:
x + 2(x – [3x – 8] + 3)
x + 2(x – 1[3x – 8] + 3)
x + 2(x – 1[3x] – 1[–8] + 3)
x + 2(x – 3x + 8 + 3)
x + 2(–2x + 11)
x + 2(–2x) + 2(+11)
x – 4x + 22
1x – 4x + 22
–3x + 22
Negative six plus 2x by (x plus 1)
Step-by-step explanation:
(3x^2 - 2x + 5) - (x^2 + 4x - 11)
(3x^2 - 2x + 5) - (x^2 + 4x - 11)
3x^2 - 2x + 5 - x^2 + 4x - 11
2x^2 + 2x - 6
= -6 + 2x (x + 1)
Question 2
Suppose that you want to design a set of four congruent square pyramids whose combined volume is the same as the volume of a single
rectangular pyramid. What values of land h for the four square pyramids and what values of I, w, and h for the rectangular pyramid will produce
Identical volumes? There is more than one correct answer.
Answer: the answer is 10
Max went to the local farmer’s market to buy some fresh produce. He bought bananas for 30% off $3.00. He also bought a half dozen apples for 40% off $2.00. How much did he spend?
(Can I please see the equations?)
Answer:
1.70$
Step-by-step explanation:
You find 3/10 of 3 dollars and 4/10 of 2 dollars which is 90 cents then 80 cents then add the two answers together giving you 1.70$
write down the first five terms of the following recursively defined sequence. a1=3; an 1=4−1/an
a1= 3, a2=4-, a3=3.7273, a4=3.7317, a5=3.7321
then lim an = 2+sqrt3
n
what are a3 and a5?
The first five terms of the sequence are a₁ = 3, a₂ = 11, a₃ = 35, a₄ = 107 and a₅ = 323
A recursive formula, also known as a recurrence relation, is a formula that defines a sequence in terms of its previous terms. It is a way of defining a sequence recursively, by specifying the relationship between the current term and the previous terms of the sequence.
To find the first five terms of the sequence, we can apply the recursive formula
a₁ = 3
aₙ = 3aₙ₋₁ + 2 for n > 1
Using this formula, we can find each term in the sequence by substituting the previous term into the formula.
a₂ = 3a₁ + 2 = 3(3) + 2 = 11
a₃ = 3a₂ + 2 = 3(11) + 2 = 35
a₄ = 3a₃ + 2 = 3(35) + 2 = 107
a₅ = 3a₄ + 2 = 3(107) + 2 = 323
Learn more about recursive formula here
brainly.com/question/8972906
#SPJ4
The given question is incomplete, the complete question is:
Write the first five terms of the sequence where a₁ =3, aₙ =3aₙ₋₁ +2, For all n > 1
Josiah has a job washing cars. He earns $35 for each car he washes. On Monday, he washed 7 cars. On Tuesday, he forgot to count how many cars he washed. He earned $560 for the two days. Josiah wants to find how many cars he washed on Tuesday.
Write the equation that Josiah can use for the situation above. (Use the variable x)
How many cars did Josiah wash on Tuesday?
( I know that the answer would be X=9 but how do I write the equation.)
Answer:
245 + 35x = 560
Step-by-step explanation:
35 x 7 = 245 (for monday)
Then the equation should be
245 + 35x = 560
It looks like you solved it too, your answer is correct btw! Lmk if you need help with the steps, or anything
Also, how you make this equation is this, you put how much he earned for monday, and then add it to 35x (x being the amount of cars he did) make sure to do = 560 at the end so you can solve it :)
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Step-by-step explanation:
Since he gets 35$ for every car he washes and washed seven cars on Monday, he got 35*7=245. Now, you can minus the amount from it to 315. 315/35 is 9, so nine is your answer.
To phrase it into an equation, you can do when x=amount of cars washed, 35x=560-7*35.
Hope this helped!
A bakery sold a total of 380 muffins.
15% were chocolate chunk.
2/5 were banana nut.
The remaining trees were blueberry.
How many blueberry muffins were sold?
The number of blueberries sold is B = 171 blueberries
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of blueberries sold be B
Now , the total number of muffins = 380 muffins
The total percentage of chocolate chunk = 15 % of the total
So , the number of muffins that were chocolate chunk = ( 15/100 ) x 380
The number of muffins that were chocolate chunk = 57 chocolate chunk
The number of muffins that were banana nut = ( 2/5 ) of the total
The number of muffins that were banana nut = 152 banana nuts
And , the remaining trees were blueberry
So , on simplifying the equation , we get
The number of blueberries = 380 - number of muffins that were banana nut - number of muffins that were chocolate chunk
The number of blueberries = 380 - 152 - 57
The number of blueberries = 171 blueberries
Hence , the number of blueberries is 171
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ9
let the continuous random variable x denote the current measured in a thin copper wire in milliamperes. assume that the range of x is [0, 20 ma], and assume that the probability density function of x is f (x) 0.05 for 0 x 20. what is the probability that a current measurement is less than 10 milliamperes?
The probability that a current measurement is less than 10 milliamperes can be found by computing the cumulative distribution function (CDF) of the random variable x at 10 milliamperes.
The CDF of a continuous random variable x is defined as the probability that x is less than or equal to a given value.
In this case, we want to find the CDF of x at 10 milliamperes, which we can write as F(10), where:
F(10) = P(X <= 10) = ∫_0¹⁰ f(x) dx
Using the probability density function f(x) given in the problem, we can evaluate the integral to find the CDF:
F(10) = ∫_0¹⁰ 0.05 dx = 0.5
So the probability that a current measurement is less than 10 milliamperes is 0.5. This means that half of the possible current measurements will be less than 10 milliamperes, and half will be greater than 10 milliamperes.
To Learn More About probability click
https://brainly.com/question/11234923
#SPJ4
Test if the slope significant for the next values. β1=0.0943 , seβ1=0.107 and alpha 0.05.
6. Write the null and alternative hypothesis. (2 points
7. Calculate t-test statistic 8. Write tc, degrees of freedom and decision rule. 9. Conclusion.
The null and alternative hypotheses are:
H0: β1 = 0 (The slope is not significant.)
H1: β1 ≠ 0 (The slope is significant.)
Here,β1=0.0943seβ1=0.107α=0.05
Test the slope significance and find the t-test statistic.
We need to find the t-test statistic so that we can compare it with the t-distribution, whose distributional properties we know, to determine if we can reject or fail to reject the null hypothesis.t-test statistic is calculated by dividing the value of β1 by its standard error (seβ1) and taking the absolute value of this quotient.
t-test statistic = | β1/seβ1 | = |0.0943/0.107| = 0.881
The degrees of freedom (df) associated with this t-test are df = n - 2, where n is the sample size for the explanatory variable x.
In this problem, the decision rule and conclusion are as follows:
Decision Rule: Reject the null hypothesis if |t-test statistic| > tc where tc is the critical value obtained from the t-distribution with df degrees of freedom and a significance level of α/2 in each tail.
Conclusion: The slope is not significant if we fail to reject the null hypothesis, but the slope is significant if we reject the null hypothesis. Since the t-test statistic (0.881) is less than the critical value (1.987), we fail to reject the null hypothesis. Therefore, we conclude that the slope is not significant.
To know more about null and alternative hypotheses:
https://brainly.com/question/33444525
#SPJ11
Carlos walked to school on 14 of the 20 school days in february.Which value is equievalent to the fraction of the school days in february that carlos walked to school
Answer:
obviously he's lazy like dude come on exercise big balloon any way just divide 14 by 20
Step-by-step explanation
Answer:
divide 14 by 20
Step-by-step explanation:
I saw the other answer.