In △QRS , point A is between points Q and R, point B is between points R and S, and AB∥QS .

QA=23 cm , QR=41 cm , and RS=123 cm .

What is RB ?

In the given model, the intercept for the regression model is 70.

The intercept in the given simple linear regression model is 70. This means that when the independent variable (x) is zero, the predicted value of the dependent variable (y) is 70. The intercept represents the starting point or the y-value when x is zero in the regression equation.

In a simple linear regression model, the equation takes the form: y = β0 + β1x + ϵ, where β0 represents the intercept, β1 represents the coefficient of the independent variable (x), and ϵ represents the error term.

In the given regression model, the intercept (β0) is stated as 70. This means that when x is zero, the predicted value of y is 70. The intercept captures the inherent value of y that is not explained by the independent variable. It represents the baseline value of y when there is no influence from x.

Therefore, in the given model, the intercept is 70.

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The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

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Answer:

3

Step-by-step explanation:

The term with a degree of 1 is 3x. The coefficient of that term is 3.

Answer:

b =  3.55 to the nearest hundredth.

Step-by-step explanation:

b / sin B = c / sin C

b / sin 45 = 5 / sin 95

b = 5 sin 45 / sin 95

= 3.549.

Answer:

set of related events, movements, or things that follow each other in a particular order.

Step-by-step explanation:

a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.

Answer: 0

Step-by-step explanation:

Use rules of logarithms to condense.

The answer to the following question is 2ln2 -2 and 4√2 - 4.

To find the mass and centre of mass of the solid e, we need to first find the volume of the tetrahedron, which is given by the integral and then calculating mass and centre of mass respectively:

V = ∫∫∫e dx dy dz

where e is the region enclosed by the planes x = 0, y = 0, z = 0, and xy z = 2. Since the density function is given by ρ(x, y, z) = 8y, the mass of the tetrahedron is given by the integral:

M = ∫∫∫e ρ(x, y, z) dx dy dz

We can compute the integrals using the following order of integration: first integrate over z from 0 to 2/xy, then integrate over y from 0 to 2/x, and finally integrate over x from 0 to √2. This gives:

Mass = ∫∫∫e dx dy dz = ∫0^√2 ∫0^2/x ∫0^2/(xy) dz dy dx

= ∫0^√2 ∫0^2/x [2/(xy)] dy dx

= ∫0^√2 [2 ln(2/x)] dx

= 2 ∫0^√2 ln(2/x) dx

= 4√2 - 4

Centre of Mass = ∫∫∫e ρ(x, y, z) dx dy dz = 8 ∫∫∫e y dy dz dx

= 8 ∫0^√2 ∫0^2/x ∫0^2/(xy) y dz dy dx

= 8 ∫0^√2 ∫0^2/x [1/2(2/(xy))^2] dy dx

= 2 ∫0^√2 [ln(2/x)]^-1 dx

= 2 ln(2) - 2.

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Answer:

nothing

Step-by-step explanation:

The ones digit will not change.....only the 'tens' digit will change...

According to the given statement There are 2 rows and 3 columns in the matrix, resulting in a total of 6 categories (cells).

In a chi-square test for independence, the degrees of freedom (df) is calculated as (r-1)(c-1),

where r is the number of rows and c is the number of columns in the contingency table or matrix.

In this case, the df is given as 2.

To determine the total number of categories (cells) in the matrix, we need to solve the equation (r-1)(c-1) = 2.

Since the df is 2, we can set (r-1)(c-1) = 2 and solve for r and c.

One possible solution is r = 2 and c = 3, which means there are 2 rows and 3 columns in the matrix, resulting in a total of 6 categories (cells).

However, it is important to note that there may be other combinations of rows and columns that satisfy the equation, resulting in different numbers of categories.

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i. weekly receipts at a clothing boutique

ii. monthly demand for an automotive part

Time series data refers to information collected and recorded at regular intervals over a specific period. In the case of i. weekly receipts at a clothing boutique and ii. monthly demand for an automotive part, both data sets are examples of time series data.

Time series data consists of observations recorded over regular intervals, allowing for the analysis of patterns and trends over time. In i. weekly receipts at a clothing boutique, the data is collected on a weekly basis, providing insights into the boutique's revenue fluctuations over different weeks. Similarly, ii. monthly demand for an automotive part captures the demand for the part on a monthly basis, enabling analysis of monthly variations and seasonal patterns.

On the other hand, iii. quarterly sales of automobiles do not fall under time series data. While it represents sales data, the intervals between measurements are not consistent enough to qualify as time series. Quarterly intervals are less frequent and may not capture shorter-term trends or variations as effectively as weekly or monthly intervals.

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The sheet-changing habits of a sample of 20 adults were surveyed and analyzed to estimate the sheet-changing habits of the general population. The mean and standard deviation were calculated, and a 95% confidence interval was constructed.

First, we can calculate the mean of the sample to determine the average sheet-changing frequency among the adults surveyed. To do this, we add up the sheet-changing frequencies for each adult and divide by the total number of adults:

Mean sheet-changing frequency = (frequency for adult 1 + frequency for adult 2 + ... + frequency for adult 20)/20

= (7 + 14 + ... + 28)/20

= X/20

Next, we can calculate the standard deviation of the sample to determine the degree of variation in sheet-changing habits among the adults surveyed.

Sum of squares of differences = ∑(sheet-changing frequency - mean sheet-changing frequency)²

For each adult in the sample, we can calculate the difference between their sheet-changing frequency and the mean frequency:

Adult 1: 7 - X

Adult 2: 14 - X

.

.

.

Adult 20: 28 - X

The sum of squares of differences is then:

Sum of squares of differences \(= (7 - X)^2 + (14 - X)^2 + ... + (28 - X)^2\)

We can then divide the sum of squares by the degrees of freedom (20-1=19) and take the square root to calculate the standard deviation:

Standard deviation = √((sum of squares of differences)/(degrees of freedom))

= √((X)/19)

= Y

To calculate the confidence interval, we can use the following formula:

Confidence interval = mean ± (critical value * standard deviation/√(sample size))

The critical value can be obtained from a t-table based on the desired confidence level and degrees of freedom. For a 95% confidence interval with 19 degrees of freedom, the critical value is 2.093.

Plugging in the values for the mean, standard deviation, and critical value, we can calculate the 95% confidence interval for the population mean sheet-changing frequency:

Confidence interval = X ± (2.093 * Y/√20) = X ± Z

The confidence interval gives us an estimated range for the population mean sheet-changing frequency, with a 95% level of confidence. This can be useful in understanding the sheet-changing habits of the general adult population, based on the sample data collected.

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a) The equation of plane is x − y = 1. ; b) The equation of the plane is -3x + y = -2. ; c) The equation of the plane is x + 2y + 3z = 27. ; d) The equation of the plane is -8x + y = -18.

(a) Find an equation for the plane that is perpendicular to v = (1, 1, 1) and passes through (1, 0, 0).The equation of a plane can be represented in the form of Ax + By + Cz = D.

We have the following information:Vector v = (1, 1, 1)Point P = (1, 0, 0)To find the normal to the plane, we need to calculate the cross product of vector v and a vector that connects the given point and any other point on the plane: 0 = (y − 0) + (z − 0) implies y + z = 0.The normal vector is (1, -1, 0).

So the equation of the plane is:1(x) − 1(y) + 0(z) = D1(1) − 1(0) = D1 = D

(b) Find an equation for the plane that is perpendicular to v = (2,6, 9) and passes through (1, 1, 1).The equation of a plane can be represented in the form of Ax + By + Cz = D. We have the following information:

Vector v = (2, 6, 9)

Point P = (1, 1, 1)

To find the normal to the plane, we need to calculate the cross product of vector v and a vector that connects the given point and any other point on the plane.So, the normal vector is (-3, 1, 0).

(c) Find an equation for the plane that is perpendicular to the line 1(t) = (9,0, 6) + (2, -1, 1) and passes through (9, -1,0).The equation of a plane can be represented in the form of Ax + By + Cz = D.

We have the following information:Point P = (9, -1, 0)Vector v = (2, -1, 1)

To find the normal to the plane, we need to calculate the cross product of vector v and a vector that connects the given point and any other point on the plane.

So, the normal vector is (1, 2, 3).

(d) Find an equation for the plane that is perpendicular to the line l(t) = (-3, -6, 8) + (0, 8, 1) and passes through (2, 4, -1).The equation of a plane can be represented in the form of Ax + By + Cz = D.

We have the following information:Point P = (2, 4, -1)Vector v = (0, 8, 1)

To find the normal to the plane, we need to calculate the cross product of vector v and a vector that connects the given point and any other point on the plane.So, the normal vector is (-8, 1, 0).

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By adding all the money she spend we get $0.69

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Dee spends $0.25, $0.30, $0.10 and $0.04.

We need to find the money she spend in all.

Therefore, we have to add all the expenditure

0.25 + 0.30 + 0.10 + 0.04 = 0.69

The total money she spend could be 0.69.

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Answer:

-3(2t - 1) = t + t + t + 3

-6t + 3 = 3t + 3

-6t -3t = 3t - 3t +3

-9t + 3 - 3 = 0

9t = 0

t = 0

Step-by-step explanation:

Answer:

He has 672 nails

Step-by-step explanation:

168/.25

Answer:

He has 672 nails.

Step-by-step explanation:

Weight of all nails=168

Weight of a nail=0 .25

Then,

Number of nails=168/0.25

=672

Answer:B

Step-by-step explanation: edge 2020

The probability that the device fails during its first hour of operation is; 0.625

The joint density function of the lifetimes of the two components, both measured in hours, is:

f(x, y) = (x + y)/8; 0 < x < 2, 0 < y < 2

Compute the probability that the device fails during its first hour of operation as follows:

P[(X < 1) ∪ (Y < 1)] = 1 - \(\int\limits^2_1 {} \int\limits^2_1 {\frac{x + y}{8} } \, dx \, dy\)

Integrating the above with respect to the boundary conditions as above gives;

P[(X < 1) ∪ (Y < 1)] = 1 - 0.375

P[(X < 1) ∪ (Y < 1)] = 0.625

The complete question is;

A device runs until either of two comonents fails, at which point the device stops running. The joint density function of the lifetimes of the two components, both measured in hours, is f(x,y) = x + y/8 for 0 < x < 2 and 0 < y < 2Calculate the probability that the device fails during its first hour of operation.

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The Euler's formula solved for the variable V gives . V = 2 + E − F. Option 2

The subject of a formula is the variable or variables that represent the quantity being calculated or solved for.

In mathematical formulas, the subject is typically denoted by a letter or symbol, and the formula shows the relationship between the subject and other variables or constants in the equation.

From the information given, we have that;

V − E + F = 2

To make the variable, V, the subject, take the steps

collect the variable E

V + F = 2 + E

Now, collect the F variable

V = 2 + E - F

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Answer:

QP = 2

QR = 2√3

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

30° - 60° - 90°

And side lengths represented with:

x - x√3 - 2x respectively to angle measures.

The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:

2 and 2√3

The average cost of a call depends on the initial period, subsequent period, and unit cost for each subsequent period. By using the formula derived above, we can calculate the average cost of a call for different values of I, S, and p.

The average cost of a call can be calculated using the formula: Average Cost = r + p(S-1)/(S-1+1/e^S), where r is the cost for the initial period, p is the unit cost for each subsequent period, and S is the length of each subsequent period.

If the cost of a call is $1 per minute and the average call length is one minute, then the average cost of a call is just $1. However, if the call is rounded up to the next minute (I = S = 1), then the average cost can be calculated using the formula derived above: Average Cost = r + p(S-1)/(S-1+1/e^S) = $1 + $1(1-1)/(1-1+1/e^1) = $1 + $1(0)/(0+1/e) = $1.

If I = S = 0.1 (i.e., rounded up to the next 6 seconds), then the average cost can be calculated using the formula derived above: Average Cost = r + p(S-1)/(S-1+1/e^S) = $1 + $1(0.1-1)/(0.1-1+1/e^0.1) = $1 + $1(-0.9)/(-0.9+1/e^0.1) = $1.07.

Therefore, the average cost of a call depends on the initial period, subsequent period, and unit cost for each subsequent period. By using the formula derived above, we can calculate the average cost of a call for different values of I, S, and p.

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Answer:

Perimeter of ABCD = 2(24 + 26 + 28 + 25) = 206 mm.

Step-by-step explanation:

Perimeter of ABCD = 2(24 + 26 + 28 + 25) = 206 mm.

Answer:

x-1+1<15; this gonna be x<15 and 1x-1+1>15 this is gonna be the same

Step-by-step explanation:

Subtract sin (8x − 10) from both sides of the equation.

cos (6x − 12) − sin (8x − 10) = 0

Answer:

It doesn't exist

Step-by-step explanation:

since :

cos (90° – x) = sin x

cos(x) = sin(pi/2 - x)

then

cos(6x-12) =! sin(8x-10)

since (8x-10) =! (pi/2- 6+12)

then this identity of cos(6x-12) = sin(8x-10) doesn't exist

Answer:

yeah happy new year but your answer is D

Step-by-step explanation:

I'm good at math

Answer:

Answer:

Step-by-step explanation:

Q

(

2

,

1

)

and

R

(

8

,

13

)

is partitioned from

Q

to

R

into a

1

:

2

ratio at point

Z

. What are the coordinates of

Z

?

Answer:

6//5,10/3

Step-by-step explanation:

maybe hope this is help