Multiply: (-3/10)(-2/9)

Answer:

Check attachment for solution

Step-by-step explanation:

Given that,

Answer:

D) The standard deviation of the residuals

Step-by-step explanation:

Answer:

Linearly independent

Step-by-step explanation:

let a,b,c be element of F. for all x element of F.

1) if a, b and c are zero then they are independent

2) if not all a,b,c are zero then it is independent.

Now lets write it as a linear combination

 i.e  8a +b Sinx +c Cosx = 0

equating the coefficients we have

: 8a =0 hence a = 0

: b Sinx = 0

b = 0

: c Cos x = 0

c is not 0

Hence it is Linearly independent

Final answer:

Linearly test the set {f(x) = 8, g(x) = sin(x), h(x) = cos(x)} for independence. If dependent, express one function as a combination of others.

Explanation:

To test for linear independence in the set ℱ = {f(x) = 8, g(x) = sin(x), h(x) = cos(x)}, we can see if the determinant of the matrix formed by the functions is zero. If it is, the set is linearly dependent. If the set is linearly dependent, we can write one function as a linear combination of the others, for example, h(x) = √(g(x)^2 + f(x)^2).

Answer:

Check the explanation

Step-by-step explanation:

1

a) A is an Equivalence Relation

Reflexive : x is parallel to itself => x R x

Symmetric : x is parallel to y => y is parallel to x.

Therefore x R y => y R x

Transitive :  x is parallel to y and y is parallel to z then x, y, z are parallel to each other.

=> x R y and y R z => x R z

Therefore A is equivalent.

1. b)

x r y if and only if |x-y| less than or equal to 7

Reflexive : |x-x| = 0 <= 7 => x R x Satisfied.

Symmetric : let x R y => |x-y| <= 7

Consider |y-x| = |(-1)*(x-y)| = |x-y| <= 7

=> y R x => Satisfied

Transitive : let x R y and y R x

=> |x-y| <= 7 and |y-z| <= 7

but this doesn't imply x R z

Counter-Example : x = 1, y = 7, z = 10

Therefore this relation is neither Equivalent nor Partial Order Relation.

The relation x r y if and only if x is parallel to y for lines in the plane is an equivalence relation as it is reflexive, symmetric, and transitive. For the set of real numbers with the relation x r y if and only if |x - y| ≤ 7, the relation is neither an equivalence relation nor a partial ordering because it lacks antisymmetry.

When determining if a relation is an equivalence relation or a partial ordering, we must assess whether it satisfies specific properties. For a relation to be an equivalence relation, it must be reflexive, symmetric, and transitive. In the case of A = { lines in the plane } and relation r defined by x r y if and only if x is parallel to y, we can say:

Therefore, this relation is an equivalence relation.

For the set A = R and the relation r defined by x r y if and only if | x − y | ≤ 7, the relation is not a partial ordering because it is not antisymmetric (if x r y and y r x, then x must equal y, which isn't necessarily true for all real numbers within 7 units of each other). However, it is reflexive and symmetric.

Answer with Step-by-step explanation:

We are given that

[tex]f(x)=-sin x[/tex]

[tex][0,\infty][/tex]]

Average value of the function is given gy

[tex]f_{avg}=\frac{1}{b-a}\int_{a}^{b}f(x)dx=\frac{1}{\pi-0}\int_{0}^{\pi}-sinx dx[/tex]

[tex]f_{avg}=\frac{1}{\pi}[cosx]^{\pi}_{0}[/tex]

Using the formula

[tex]\int sin xdx=-cos x[/tex]

[tex]f_{avg}=\frac{1}{\pi}(cos\pi-cos0)[/tex]

[tex]f_{avg}=\frac{1}{\pi}(-1-1)=-\frac{2}{\pi}[/tex]

[tex]f(x)=f_{avg}[/tex]

[tex]-sinx=-\frac{2}{\pi}[/tex]

[tex]sinx=\frac{2}{\pi}[/tex]

[tex]x=sin^{-1}(\frac{2}{\pi})=0.69radian[/tex]

The average value of the function is [tex]-\frac{2}{\pi}[/tex].

The average value of the function is given as,

                    [tex]Average=\frac{1}{\pi} \int\limits^\pi_0 {f(x)} \, dx[/tex]

Given function is, [tex]f(x)=-sinx[/tex]

Substitute values in above relation.

                [tex]Average=\frac{1}{\pi} \int\limits^\pi_0 {-sinx} \, dx\\\\Average=\frac{1}{\pi} (cosx)^{\pi} _{0}\\\\Average=\frac{1}{\pi}(cos\pi - cos 0)\\\\Average=\frac{1}{\pi}(-1-1)\\\\Average=-\frac{2}{\pi}[/tex]

The values of x in the interval for which the function equals its average value is,

              [tex]-sinx=-\frac{2}{\pi}\\ \\x=sin^{-1} (\frac{2}{\pi} )=39.56[/tex]

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Answer:

$2000

Step-by-step explanation:

biweekly is defined as every 2 weeks

assume each month has 4 weeks

there are 12 months in a year and she is paid 2x per month so there are 24 weeks she is paid

48000/24 can be used to find the biweekly pay which is 2000

Pam's gross pay per biweekly paycheck is calculated by dividing her annual salary ($48,000) by the number of pay periods in a year (26). This results in an approximate gross pay of $1,846.15 per biweekly paycheck.

The student's question pertains to calculating her gross pay per paycheck given her annual salary. To carry out this process, you need to understand that there are typically 52 weeks in a year and that being paid biweekly results in 26 pay periods (52 weeks divided by 2). Hence, you divide Pam’s annual gross pay amount of $48,000 by the 26 pay periods to get her gross pay, per paycheck.

Steps:

So, $48,000 / 26 = $1,846.15
This means Pam's biweekly paycheck would be roughly $1,846.15, before taxes and other deductions.

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Answer:

y=2x+2

Step-by-step explanation:

To find the y intercept of the equation you add 4 beacuse the point is 2 under the y intecrept and 2*2 is 4 so -2+4=2 so the y value of the y intercept is 2 so

y=2x+2

Answer:

y=2x+2

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula:

y-y1=m(x-x1)

where m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point

We know the slope is 2, the y coordinate is -2, and the x coordinate is also -2, so we can substitute them in

y-y1=m(x-x1)

y- -2 =2(x - -2)

y+2=2(x+2)

Now we need to solve for/ isolate y

Distribute the 2

y+2=2*x+2*2

y+2=2x+4

Subtract 2 from both sides

y=2x+2

Answer:

5/9

Step-by-step explanation:

Answer:

  x + 3y = 3

Step-by-step explanation:

The standard form equation ...

  ax +by = c

has slope -a/b. Here, we want -a/b = -1/3, and we want a > 0. We can choose ...

  a = 1, b = 3

and we can find the constant c using the given point.

 x +3y = 12 +3(-3) = 3

The desired standard-form equation is ...

  x + 3y = 3

Answer:

The proportion of sampled students that complete their degree is 0.74.

The lower bound for the 95% confidence interval is 0.659 and the upper bound is 0.819.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 115, \pi = \frac{85}{115} = 0.739[/tex]

Rounded to two decimal places, the proportion of sampled students that complete their degree is 0.74.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.739 - 1.96\sqrt{\frac{0.739*0.261}{115}} = 0.659[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.739 + 1.96\sqrt{\frac{0.739*0.261}{115}} = 0.819[/tex]

The lower bound for the 95% confidence interval is 0.659 and the upper bound is 0.819.

Answer:

14

Step-by-step explanation:

Perimeter= 4× 3.5 in

=14 in

Answer:

14 in

Step-by-step explanation:

[tex]3 \frac{1}{2} = \frac{7}{2} in[/tex]

Perimeter of a square = 4 × sides

[tex] = 4 \times \frac{7}{2} = 14 \: \: in[/tex]

Answer:

it depends

Step-by-step explanation:

If you divide the fraction by a number greater than 1 then you will have a smaller fraction. If you divide the fraction by a number equal to 1 then you will have the same fraction. If you divide the fraction by a positive number smaller than 1 then you will have a greater fraction.

Answer:

We conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Step-by-step explanation:

We are given that Bottles of a popular cola drink are supposed to contain 300 ml of cola. The distribution of the contents is normal with standard deviation of 3 ml.

A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are: 299.4, 297.7, 301.0, 298.9, 300.2, 297.0

Let [tex]\mu[/tex] = mean contents of cola bottles.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex]  300 ml   {means that the mean contents of cola bottles is more than or equal to the advertised 300 ml}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 300 ml   {means that the mean contents of cola bottles is less than the advertised 300 ml}

The test statistics that will be used here is One-sample z test statistics as we know about the population standard deviation;

                       T.S.  = [tex]\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean contents of cola bottle = [tex]\frac{\sum X}{n}[/tex] = 299.03 ml

            [tex]\sigma[/tex] = population standard deviation = 3 ml

            n = sample of bottles = 6

So, test statistics  =  [tex]\frac{299.03-300}{\frac{3}{\sqrt{6} } }[/tex]     

                               =  -0.792

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is more than the critical value of z as -0.792 > -1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Answer:

b its b i am  a  student i got good grades very goods grades

Step-by-step explanation:

Answer:

if you are trying to find the total amount of stamps its 72 stamps

Step-by-step explanation:

calculator

Answer:

b=-4a-52 or -b=4a+52

Step-by-step explanation:

because you can subtract 4a to the other side or you can subtract 52 to the other side then subtract b to get the second equation.

hope this helps :)

The independent variable is the variable you change.

The dependent variable is the variable you measure that depends on the independent variable.

Since b is the independent variable, you need to isolate/get the variable "a" by itself in the equation:  [this is because "b" is the variable you change, and "a" is the variable you measure that results/depends on "b"]

4a + b = -52       Subtract b on both sides

4a + b - b = -52 - b

4a = -52 - b        Divide 4 on both sides to get "a" by itself

[tex]\frac{4a}{4} =\frac{-52-b}{4}[/tex]

[tex]a=-13-\frac{b}{4}[/tex]

Answer:

a) 281 days.

b) 255 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

[tex]\mu = 270, \sigma = 8[/tex]

​(a) What is the minimum pregnancy length that can be in the top 8​% of pregnancy​ lengths?

100 - 8 = 92th percentile.

X when Z has a pvalue of 0.92. So X when Z = 1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.405 = \frac{X - 270}{8}[/tex]

[tex]X - 270 = 1.405*8[/tex]

[tex]X = 281[/tex]

(b) What is the maximum pregnancy length that can be in the bottom 3​% of pregnancy​ lengths?

3rd percentile.

X when Z has a pvalue of 0.03. So X when Z = -1.88

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.88 = \frac{X - 270}{8}[/tex]

[tex]X - 270 = -1.88*8[/tex]

[tex]X = 255[/tex]

The required situation could be modeled with the equation 40 ÷ 8 = 5 as "There are eight in each of the 40 groups. Which groupings are there, exactly?"

In mathematics, divides left-hand operands into right-hand operands in the division operation.

The equation is given in the question

40 ÷ 8 = 5

An equation of this kind may be used to model any situations in which 40 items are divided into 8 or 5 divisions. There are a few possibilities:

"There are eight in each of the 40 groups. Which groupings are there, exactly?"

"There are a total of 40, separated into 8 categories. In how many groups are there?"

Thus, the above situations could be modeled with the equation 40 ÷ 8 = 5.

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Answer:

120 feet in total

Step-by-step explanation:

Hi there! I'm glad I was able to help you out!

We are given that one racetrack is 40 yards long in length.

We also know that there are three feet in one yard alone. In order to get the answer to this math problem, all we have to do is multiply 40 by 3, where the 40 represents the amount of yards and the 3 represents the amount of feet IN a single yard.

40 × 3 = 120

Therefore, there are 120 feet in total, in terms of the racetrack's length.

I hope I was able to help you understand this a little bit more! :)

There are 120 feet in total, in terms of the racetrack's length.

Here, we have,

a racetrack is 40 yards long.

we know that,

1 yard = 3 feet

We are given that one racetrack is 40 yards long in length.

We also know that there are three feet in one yard alone.

In order to get the answer to this math problem, all we have to do is multiply 40 by 3,

where the 40 represents the amount of yards

and the 3 represents the amount of feet IN a single yard.

40 × 3 = 120

Therefore, there are 120 feet in total, in terms of the racetrack's length.

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Answer: 12 Centimeter

Step-by-step explanation:

3 by 4 multiplied by 2

3cm x 4cm x 2

= 12cm x 2

= 24cm

Answer:

See attached files

Step-by-step explanation:

Answer:

C. 324 square inches

Step-by-step explanation:

The area of the post is 240, and the sign is 84 including the triangle. 240 + 84, is 324

Answer:

[tex]z=\frac{0.35 -0.42}{\sqrt{\frac{0.42(1-0.42)}{250}}}=-2.24[/tex]  

Step-by-step explanation:

Data given and notation  

n=250 represent the random sample taken

[tex]\hat p=0.35[/tex] estimated proportion of readers owned a particular make of car

[tex]p_o=0.42[/tex] is the value that we want to test

z would represent the statistic (variable of interest)

[tex]p_v[/tex] represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that that the percentage is actually different from the reported percentage.:  

Null hypothesis:[tex]p=0.42[/tex]  

Alternative hypothesis:[tex]p \neq 0.42[/tex]  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

The One-Sample Proportion Test is used to assess whether a population proportion [tex]\hat p[/tex] is significantly different from a hypothesized value [tex]p_o[/tex].

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

[tex]z=\frac{0.35 -0.42}{\sqrt{\frac{0.42(1-0.42)}{250}}}=-2.24[/tex]  

Answer:

Divide both by 3

Step-by-step explanation:

I figured it out that you divide it by three because the divisible rule for 3 is that you add up all the digitd in the number and if it’s divisible by three than it is a multiple of 3. In this case for the numerator I added 4+4+5+5 = 18 which is divisible by three so the numerator is divisible. Now for the denominator you add 1+9+2+3+0+2+4= 21 which is also divisible by three. So you can divide both by 3.

Answer:

3612 - 63 m

Step-by-step explanation:

3612 – m – 62m

We cannot find the value of m, but we can simplify the expression

3612 – m – 62m

3612 - 63 m

To find the value of m, we can solve the given equation: 3612 - m - 62m. Combining the m terms, we have: 3612 - 63m. Since no other operations are indicated, we assume this is an equation and set it equal to zero. Now, let's solve for m: Subtracting 3612 from both sides, -63m = -3612. Dividing both sides by -63, m = 57.33.

To find the value of m, we can solve the given equation:

3612 - m - 62m

Combining the m terms, we have:

3612 - 63m

Since no other operations are indicated, we assume this is an equation and set it equal to zero:

3612 - 63m = 0

Now, let's solve for m:

Subtracting 3612 from both sides:

-63m = -3612

Dividing both sides by -63:

m = 57.33

Answer:

C) ⅙

Step-by-step explanation:

Starting with A:

April, August

2/12

1/6

Answer:

Line C

Step-by-step explanation:

I picked this answer because the slope of the line is 4, which is -12/-3.

If this answer is correct, please make me Brainliest!

Final answer:

The mortgage amount for the home is $192,000 after a 20% down payment on a $240,000 purchase price. The cost for two points at closing is $3,840, which is 2% of the mortgage amount.

Explanation:

The amount of the mortgage can be found by subtracting the 20% down payment from the purchase price of the home. For a home priced at $240,000, a 20% down payment is $48,000 ($240,000 × 0.20), leaving a mortgage amount of $192,000 ($240,000 - $48,000).

Next, the cost of the two points at closing is calculated based on the mortgage amount. Each point costs 1% of the mortgage amount, so two points would be 2% of $192,000, which comes to $3,840

Answer:

E ( X ) = 3.5

Var ( X ) = 91 / 12

Step-by-step explanation:

Solution:-

- Let X = M (T), where M (T) is the Random variable that denotes the number of arrivals in time T for the Poisson process.  The parameter λ = rate of 7 per hour

- To find E ( X ), condition X on the random arrival time T of the next train.

- Note that if Y ~ Poisson ( μ ), then the T is defined by uniform distribution over the interval [ 0 , 1 ] :

                           E ( Y ) = Var ( Y ) = μ

                           E ( T ) = 1 / 2

                           Var ( T ) = 1 / 12

- We have, N ( T ) ~ Poisson ( λt ), where t ≥ 0 and λ = 7. Thus,

                           E ( N ( T ) / T ) =  λ*T

                           Var ( N ( T ) / T ) =  λ*T.

Therefore,

                           E ( X ) = E ( N ( T ) ) = E ( E ( N ( T ) / T ) )

                            = E ( λ*T ) = λ* E ( T ) = 7/ 2 = 3.5

- For two Random Variables U and V,

                           Var ( U ) = E ( Var ( U / V ) ) + Var ( E ( U / V ) )

Therefore,

                           Var ( X ) = E ( Var ( X / T ) ) + Var ( E ( N ( T ) / T ) )

                           =  E ( λ*T) + Var ( λ*T )

                           = λ* E ( T ) + λ^2* Var ( T )

                           = 3.5 + 7^2 / 12

                           = 91 / 12