7.987 ot the tenths place

Answer:

16

Step-by-step explanation:

n=4

subset=2^n

=2^4

=16

Answer:

Bias is the difference between the average prediction of our model and the correct value which we are trying to predict and variance is the variability of model prediction for a given data p[oint or a value which tells us the spread of our data the variance perform very well on training data but has high error rates on test data on the other hand if our model has small training sets then it's going to have smaller variance & & high bias and its contribute more to the overall error than bias. If our model is too simple and has very few parameters then it may have high bias and low variable. As the model go this is conceptually trivial and is much simpler than what people commonly envision when they think of modelling but it helps us to clearly illustrate the difference bewteen bias & variance.

EXPLANATION

The probability that the fraction will be less than or equal to 3/2 is given by the following relationship:

Now, we can list all the possible fractions that we could get:

Here are the combinations with 4 as the numerator:

4 / 4

4 / 6

4 / 5

4 / 3

Here are the combinations with 6 as the numerator:

6/ 4

6 / 6

6 / 5

6 / 3

Here are the combinations with 5 as the numerator:

5/ 4

5 / 6

5 / 5

5 / 3

Here are the combinations with 3 as the numerator:

3/ 4

3 / 6

3 / 5

3 / 3

As we can see, the are 4*4= 16 different combinations that we could get.

Now, we need to define wich possible combinations are less or equal than 3/2=1.5.

4 / 4 = 1 [LESS THAN 3/2]

4 / 6 = 2/3 = 0.67 [LESS THAN 3/2]

4 / 5 = 0.8 [LESS THAN 3/2]

4 / 3 = [LESS THAN 3/2]

-------------

6/ 4 = 3/2 [EQUAL THAN 3/2]

6 / 6 = 1 [LESS THAN 3/2]

6 / 5 = [LESS THAN 3/2]

6 / 3 [NO --> GREATER THAN 3/2]

------------

5/ 4 = 1.25 [LESS THAN 3/2]

5 / 6 [LESS THAN 3/2]

5 / 5 [LESS THAN 3/2]

5 / 3 [NO -->GREATER THAN 3/2]

------------

3/ 4 [LESS THAN 3/2]

3 / 6 [LESS THAN 3/2]

3 / 5 [LESS THAN 3/2]

3 / 3 [LESS THAN 3/2]

As we can see, there are 14 possible combinations that are less or equal to 3/2.

Hence,

Simplifying:

The probability will be 7/8

Answer:

9,000

Step-by-step explanation:

Answer: Question 1:

4 / 38 = 2/19

Alternative answer = 0.105

Question 2:

4 / 83 = 4/83

Alternative answer = 0.048

Step-by-step explanation:

Answer:

(g o h)(5) = 4

Step-by-step explanation:

h(x) = x - 7

g(x) = x^2

(g o h)(5) = ?

(g o h)(x) = g(h(x)) = (x - 7)^2

(g o h)(5) = (5 - 7)^2 = (-2)^2 = 4

Answer:

g°h(5)=4

Step-by-step explanation:

g°h(5)=g( h(5))

h(5)=5-7=-2

g(-2)=(-2)^2=2^2=4

Answer: 0

Step-by-step explanation:

1/2(2x+5)=3/4(x+1)+5/2

distribute 1/2 to 2x and 5

distribute 3/4 to x and 1

1/4x+5/2=5/2

subtract 5/2 to 5/2

1/4=0

multiply 1/4 by the reciprocal

4/1*1/4=0*4/1

Answer= 0

The domain of the given function is; (0, 2)

The range of the given function is; (-2, 6)

We want to evaluate the function f(x) = 4x - 2 for x = 0, 1 and 2.

Step 1;

f(0) = 4(0) - 2

f(1) = 4(1) - 2

f(2) = 4(2) - 2

Step 2;

f(0) = 0 - 2 = -2

f(1) = 4 - 2 = 2

f(2) = 8 - 2 = 6

The domain is the set of all possible input values which is (0, 2)

The range is the set of all possible output values which is (-2, 6)

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Answer:

TRUEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

Answer:

The mystery divisor is 18

Step-by-step explanation:

In the beginning, I found it by simply dividing the dividend by the quotient which gave me the divisor of 18. You can start the division equation again and add in the divisor 18 and it'll give you the exact answer.

Another way you'll know it's correct, is by dividing the dividend by that divisor and it'll give you the quotient 225 just like in the image.

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Answer:

It is, 6

Step-by-step explanation:

Good luck! Have a good day!! <33

Act like you have 2 fingers up and then add 4 more.

\(\\ \sf\longmapsto F=\dfrac{9}{5}C+32\)

\(\\ \sf\longmapsto F=\dfrac{9}{5}15+32\)

\(\\ \sf\longmapsto F=9(3)+32\)

\(\\ \sf\longmapsto F=27+32\)

\(\\ \sf\longmapsto F=59\)

\(\huge\text{Hey there!}\)

\(\huge\boxed{\frak{F = \bold{Fahrenheit} ; C = \bf Celsius}}\)

\(\huge\boxed{\frak{F = \dfrac{9}{5}c + 32}}\)

\(\huge\boxed{\frak{F = \dfrac{9}{5}(15) + 32}}}\)

\(\huge\boxed{\frak{F = 27 + 32}}\)

\(\huge\boxed{\frak{F = 59^\circ}}\)

\(\huge\boxed{\frak{Therefore, your \ answer\ is: {F = 59^\circ}}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The dataset (blue dots) consists of a sequence that starts in the point (0,1) and ends in the point (4,4)

The linear function (red line) starts at the point (2.5,3) and ends in the point (5,1.8) approximately

Let's analyze each option:

a) If we change the vertical axis by down 2 units, then not a single point will be close to their corresponding model. Thus, this is not a correct choice

b) Same thing happens if we change up 1 unit. The dataset and the model will be even farther. Incorrect

c) Moving 3 units up will be even worse than option b). Incorrect

d) Changing 3/4 units up or down will not get the plot and the line be closer. This is not the correct option

e) This is the correct option because a vertical change ALONE will not make both sets be close to each other.

The correct action should be to move both horizontally and vertically, including some scaling.

This happens because the red line is a bad approximation to the dataset

we have

f(x) = 2x^3 – 7x^2 – 5x + 4

If (X+1) is a factor

then

f(x)/(x+1)=q(x)

f(x)=(x+1)q(x)+r(x)

The remainder theorem tells us that for any polynomial f(x) , if you divide it by the binomial x−a , the remainder is equal to the value of f(a)

so

For x=-1

f(-1)=2(-1^3)-7(-1^2)-5(-1)+4

f(-1)=-2-7+5+4

f(-1)=0

that means

the remainder is zero --------> that prove (x+1) is a factor

Answer:

AB = 37 units.

Step-by-step explanation:

Solve for AB using the Pythagorean theorem:

c² = a² + b² (c being AB in this instance)

Plug in the values of the legs of the triangle:

c² = 12² + 35²

c² = 144 + 1225

c² = 1369

c = √1369

c = 37

Therefore, AB = 37.

A line that is parallel to y = -4x + 11 and goes through the point (2, 1) in point slope form is: A. y - 1 = -4(x - 2).

Mathematically, the point-slope form of a line is modeled by this mathematical expression:

y - y₁ = m(x - x₁)

Where:

From the given linear equation y = -4x + 11, the slope is given by:

y = -4x + 11

m₁ = -4

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂ (m represents the slope.)

At point (2, 1), an equation of this line can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

y - 1 = -4(x - 2)

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When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:

C

Step-by-step explanation:

the point of intersection of the triangle's 3 angle bisectors is the Incentre.

The value of the expression is 1.

Given is an expression we need to solve it,

x - 1/2 = √1/4 x

x - 1/2 = 1/2 x

x - 1/2 x = 1/2

1/2 x = 1/2

x = 1

Hence the value of the expression is 1.

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Answer:

Point A (0, 8)

Point B (0, -6)

Point C (0, 0)

I hope this helps!

Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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If Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be 9 centimeters.

Equation is used to show the relationship between two or more variables and numbers.

Let y represent the rectangle length and x represent the rectangle width.

y ∝ x

y = kx

k is the constant of proportionality.

y = 18 cm, x = 6 cm, hence:

18 = 6k

k = 3

When y = 27:

27 = 3x

x = 9 cm

If Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be 9 centimeters.

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Answer: yes it's the second and first one

Step-by-step explanation:

1i) 3m. 3 x m is the same as 3m

1ii) 2m + 15. 2 x m + 15 can be written as 2m + 15

Answer:

3m and 2m+15

Step-by-step explanation:

"three times m" = 3 multiplied by m = 3m

"15 more than twice the given number"

Twice the given number is 2m. 15 more than that is 2m+15.

If the plumber charges a customer $45 , then the visit was 0.5 hours long .

In the question ,

it is given that

the fixed charge to visit a client's home is = $35

additional per hour charge of plumber is = $20 .

let the time taken by plumber in the customer house be "x" .

So , according to the question

the equation for total charge is

total charge = 35 + 20x

given the customer paid $45 ,

So , 45 = 35 + 20x

20x = 45 - 35

20x = 10

x = 10/20 = 0.5

Therefore , If the plumber charges a customer $45 , then the visit was 0.5 hours long .

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