Convert the binary number 10101 to its base 10 equivalent.

12
21
22
31

Using it's formula, it is found that the mean of the data set is of 4.1 shirts.

In this problem, the 12 observations are: 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7

Hence:

[tex]M = \frac{3 + 4 + 8 + 5 + 2 + 5 + 0 + 5 + 3 + 4 + 3 + 7}{12} = 4.1[/tex]

The mean of the data set is of 4.1 shirts.

For more on the mean of a data-set, you can check https://brainly.com/question/24628525

Answer:

x = 5 or × = -7/2

Step-by-step explanation:

I hope you get it good luck.

Answer: 3.75 is your answer!

Step-by-step explanation: hope i helped my answer is 100% correct

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table

m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (3, 1 )

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of linear function

Answer:

√

4

x

5

√

(

x

−

1

)

2

−

3

2

+

3

y

−

3

Step-by-step explanation:

√

4

x

5

√

(

x

−

1

)

2

−

3

2

+

3

y

−

3

Answer: 2. 5.

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

Both angles are opposites so together they equal 180.

180 - 140 = 40

I hope this helps!!

The measure of angle IJM is 40°.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given are two parallel lines IK and LN.

From the figure, OH is a transversal line that intersects the given parallel lines.

We have m ∠IJH = 140°

We have to calculate the measure of ∠IJM.

Since ∠IJH and ∠IJM are the pair of linear angles, the sum of their angles is 180°.

m ∠IJH + m ∠IJM = 180°

140° + m ∠IJM = 180°

m ∠IJM = 180° - 140°

m ∠IJM = 40°

Hence 40° is the measure of angle IJM.

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Answer:

d y=-5x-8

Step-by-step explanation:

Answer:

B. y = 7.5x – 2

Step-by-step explanation:

Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.

The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.

Reasons:

The given parameter are;

Loan amount, the principal, P = $9,900

Duration of the loan = 10 years

Loan interest rate, R = 4.29%

Required:

The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.

Solution:

Based on a similar question on an online source, we have;

Interest, I = P × R × T

Where;

T = The time = The time the freshman is in school + 6 months

Therefore, normally, we have;

T = 4 years + 6 months = 4.5 years

R = 4.29% = 0.0429

Therefore;

Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195

The interest that will accrue while she is still in school and over the 6-months grace period for the loan, I = $1,911.195

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Answer:

Step-by-step explanation:

The first line is simply the sum of the two given numbers.

  3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4

__

To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...

  Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3

Then ...

  Y : B : total = 2 : 3 : 5

This tells you the numbers on the second line are ...

  Y = 2; B = 3

__

The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...

  Y = 2(2 1/4) = 4 1/2

  total = 5(2 1/4) = 11 1/4

__

The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...

  B = 3(3 1/4) = 9 3/4

  total = 5(3 1/4) = 16 1/4

_____

The equation is the one we used to find the values on the second line:

  Y/B = 2/3

Answer:

h(1) = 7

Step-by-step explanation:

h(x) = 4x + 3

h(1) = 4(1) + 3

h(1) = 4 + 3

h(1) = 7

Answer:

Step-by-step explanation:

Degree is defined as the highest power of the polynomial function.

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

The polynomial function has n roots or zeroes.

Consider a polynomial function  

The highest power of the polynomial function is 4.

Therefore, the degree of the polynomial function is 4.

Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.

The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.

Answer:

y=4x-5

Step-by-step explanation:

8x-2y=10

-8

-2y=-8x+10

-2= -2   -2

y=4x-5

Answer:

7

Step-by-step explanation:

That means 4.3 (2.7) = 7

The negative signs get removed because negative × negative = positive

Answer:

Feet

Step-by-step explanation:

Answer:

560 metres

Step-by-step explanation:

80 cm in metres is 0.8 metres.

After 1 revolution any point on the wheel will be back to the original position before moving. 0.8 times 2, which gives us 1.6 metres. In 1 revolution the bike travels 1.6 metres.

Now 1.6 metres times 350 gives us 560.

So the answer is 560 metres.

Transformation involves changing the position of a shape

(a) The sequence that maps both triangles

From the figure the coordinates of both triangles are:

[tex]A = (-5,0)[/tex]

[tex]B = (-2,1)[/tex]

[tex]C = (-4,2)[/tex]

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Start by reflecting triangle ABC across the y-axis.

The rule of this transformation is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A = (5,0)[/tex]

[tex]B = (2,1)[/tex]

[tex]C = (4,2)[/tex]

Next, translate the triangle 1 unit left and 2 units down

The rule of this transformation is:

[tex](x,y) \to (x,-1,y-2)[/tex]

So, we have:

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units

(b) The ordered pair rule

In (a), we have:

[tex](x,y) \to (-x,y)[/tex] ---- reflection

[tex](x,y) \to (x,-1,y-2)[/tex] --- translation

Combine both transformations, so we have the following ordered pair:

[tex](x,y) \to (-x,-1,y-2)[/tex]

Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]

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Answer:

Camille's puppy becuase it gains about half a pound per week

Step-by-step explanation:

Answer:

Camille's puppy because it gains about half a pound per week

Step-by-step explanation:

brainliest please?

Answer:

A. Y=3x+2

Step-by-step explanation:

Y=mx+c

m - slope coefficient of x

and so you can easily find the slope if you are asked directly like this seen in option A.

the picture has a value of X2=-3 , X1=3 & Y1=3 Y2= 1

m = Y2 - Y1 / X2 - X1 = 1-3/-3-3 = -2/-6 = 1/3.

as you can now see, the slope from the pic which is 1/3 is less than that of option A.

Answer: You cannot figure out the value without any measurements or tools for that matter.

Step-by-step explanation:

Im blue ba da de ba da da

Answer:

x = 5

y = 8.66

Step-by-step explanation:

I hope this helps!!

Answer: 6%

Step-by-step explanation:

Answer:

y=3x+1

Step-by-step explanation:

To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is

y = mx+b

In this case in figure 2 we see that there are 4 blocks, in figure 3 we see there are now 7 blocks.

7 - 4 = 3.

If we try again and see figure 3 has 7 blocks and figure 4 has 10 blocks we can do this to double check.

10 - 7 = 3. (This now verifies our rate of change to be 3)

We now see that the rate of change or slope (same thing) is 3 or put into the equation (3x).

Off this information we can also predict the original value of figure 1 (the figure we must calculate ourselves to create the equation).

Simply take figure 2 (4 blocks) and subtract by the rate of change which is (3 blocks) to get figure 1 which will be 1 block.

With all this information we can create the equation with the information we now have.

y = mx+b

y = what you are calculating for

m = 3

x = (the value you fill in when you are calculating for x) [we are not filling this in for this question so you will leave it as simply x]

b = 1        (the constant / y intercept / or simply put as the value we solved when calculating figure 1)

Final Result = [ y = 3x + 1]

Answer: 1/3?

Step-by-step explanation:

The wording is a bit confusing.  ". . . so 5 is what part of 9 is 3​ . ." seems to be missing some portion of the sentence.

You ate 5/9 of the candies.  There were 9 and you consumed 5.  I don't know what you are asking in " . .  what part of 9 is 3."  3 is 3/9, or 1/3.

Answer:

see explanation

Step-by-step explanation:

Equation for Fast Internet is

45 + 50.45x

Equation for Quick Internet is

57.95x

To find when they cost the same , equate the 2 equations

45 + 50.45x = 57.95x ← required equation

Solve the equation by subtracting 50.45x from both sides

45 = 7.5x ( divide both sides by 7.5 )

6 = x

Both services would cost the same after 6 months

Answer:

y= (1/2)x + 2

Step-by-step explanation:

yeah-ya.......... right?

Answer:

Step-by-step explanation:

13+(12-x)+14+(20-x)+x+(15-x)+8=74

solve for x

x=4