If Susie earns a b in science class and a in math class and a D in English what is her GPA

The correlation coefficient r between an employee's age, x, and annual income, y, given as 0. 923, will vary by 85.2% of its value.

The Pearson correlation coefficient, sometimes referred to as Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply the correlation coefficient, is a statistical indicator of the linear relationship between two sets of data. A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together. With a correlation value of 1, there is a fixed proportional rise in one variable for every positive increase in the other. For instance, shoe sizing increases almost perfectly with foot length.

Here,

The correlation coefficient= 0.923

The percent of variation,

=correlation coefficient²*100

=0.923²*100

=85.192%

=85.2%

When the correlation coefficient r between an employee's age, x, and yearly income, y, is provided as 0. 923, the percent of variance will be 85.2%.

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Answer:

a₁ = -27

a₂ = -32

a₃ = -37

a₄ = -42

a₅ = -47

a₅₂ = -282

Step-by-step explanation:

An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.

Given explicit formula:

[tex]a_n=-5n-22[/tex]

To find the first 5 terms, substitute n = 1 through 5 into the given formula:

[tex]\begin{aligned}\implies a_1&=-5(1)-22\\&=-5-22\\&=-27\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_2&=-5(2)-22\\&=-10-22\\&=-32\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_3&=-5(3)-22\\&=-15-22\\&=-37\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_4&=-5(4)-22\\&=-20-22\\&=-42\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_5&=-5(5)-22\\&=-25-22\\&=-47\end{aligned}[/tex]

To find the 52nd term, substitute n = 52 into the given formula:

[tex]\begin{aligned}\implies a_{52}&=-5(52)-22\\&=-260-22\\&=-282\end{aligned}[/tex]

The probability that the Astros will win 4 of their next 6 games is 32.1%

Probability:

In math, probability refers the possible number of occurrence of the particular event.

Given,

Based on the 2017 season, the Houston Astros have a winning percentage of. 623.

Here we need to use the binomial model to find the probability that the Astros will win 4 of their next 6 games.

While we looking into the given question,

The winning percentage of Houston Astros 623.

Total number of games = 6

Here let us consider 50% as the winning percentage of all, then the based on the Astro, then probability of win 4 of their next 6 games is 32.1%.

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RA ≅ RB . Option A is correct.

In a triangle if any of the two angles are equal, then the sides opposite to the equal angles are also equal.

Given,

          ∠RAB ≅∠RBA

Also, side opposite to  ∠RAB is side RB

and, side opposite to  ∠RBA is side RA

Hence, side RA and side RB are equal.

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Its X = 15/4 first divide both sides by 4 then simplify
answer X  = 15/4

The marked-up price of the desk in the furniture store is $158.92.

The markup is the difference added to the cost of a product or service.

The markup represents the seller's profit on the cost.

The markup differs from the margin, which is the ratio of the seller's profit to the sales price.

The wholesale price of a desk = $137

Markup rate = 16%

Marked-up price = $158.92 ($137 x 1.16)

Thus, the desk is sold at the marked-up price of $158.92.

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Answer:

460000 milligrams converted to pounds would be 1.01 pounds.

Step-by-step explanation:

A) The number of pounds that the beverage cans are recycled in an hour is 119772 pounds

B) The number of tons that the beverage cans are recycled in an average day is 2397 ton

C) The number of Kilograms that the beverage cans are recycled in a day is 57528000 kg

The pound is the main unit of sterling, and the term "pound" is frequently used to refer to British currency in general, which is often qualified in foreign contexts as the British pound or the pound sterling.

In 2002 about 34 beverages can weigh one pound.

In one minute 113204 beverage cans are recycled.

In one hour, 60 minutes number of beverage cans recycled=113204×60

=6792240

34 beverage cans weight 1 pound

1 beverage cans weight=1/34 pounds

A) 6792240 beverage can weigh=1

=(1/34)(6792240) pound

=119771.765 pound

≈119772 pound

B) So, In 24 hours, no. of pounds recycled

=119772×24 pound

=119772×24×0.0005 ton

=2397.26 ton

≅2397 ton in one day.

C) So, In 24 hours, no. of tons recycled

=2397×24 ton

=2397×24×1000 kg

=57528000 kg

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30% of students mean 30 students wear contact lenses from a random selection of 100 students studying in a university.

Percentage is a fraction or a ratio of a random sample in which the value of whole is always 100. For example, if Sam received 30% on his arithmetic test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.

Percentage is defined as a certain fraction or number out of a hundred. It is a fraction with the denominator 100, and the sign for it is "%."

Finding the proportion of a whole in terms of 100 is the goal of percentage calculations. There are two methods to calculate a percentage:

Use the unitary approach or try adjusting the fraction's denominator to 100.

How to solve?

30 % = 30/100 of a sample = 0.3 of a sample

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Answer:3.2

Step-by-step explanation:

the diameter to allow an elongation of 0. 38 mm therefore required diameter is 7.65 mm

Given the data in the question;

F = 11100 N

l₀ = 310 mm = 0.31 m

E = 207 GPa = 207 × 10⁹ N/m²

Δl = 0.38 mm = 0.0005 m

So, lets assume the deformation is elastic;

d₀ = √(  [4l₀F] / [πEΔl] )

we substitute

d₀ = √(  [4 × 0.38 × 11100] / [π × (207 × 10⁹) × 0.0005]] )

d₀ = √( 10123.2 / 172787595.947 )

d₀ = √( 5.85875 × 10⁻⁵ )

d₀ = 0.007654 m

d₀ = ( 0.007654 × 1000 )mm

d₀ = 7.65 mm

Therefore, required diameter is 7.65 mm

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Based on the features of a proportional graph: A. Yes, it is a proportional relationship because the line intersects with the point of origin (0, 0).

The graph of a proportional relationship is a straight line that must surely pass through the point of origin, (0, 0)

A proportional relationship between two variables x and y can be written in slope-intercept form as y = mx, where the slope or constant of proportionality is represented by the value of m.

The graph above shows a straight line that intersects the point of origin at (0, 0).

Since the line intersects (0, 0), we can conclude that: A. the graph shows a proportional relationship because the line intersects with the point of origin (0, 0).

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Answer: 2

Step-by-step explanation:

Answer:

your answer is 5.

Step-by-step explanation:

Work Shown:

P(D) = P(D and A) + P(D and B)

P(D) = P(D given A)*P(A) + P(D given B)*P(B)

P(D) = 0.6*0.5 + 0.7*0.5

P(D) = 0.30 + 0.35

P(D) = 0.65

The notation "P(D given A)" means that we follow the upper branch "A", and then go to sub-branch D to determine the 0.6; similar logic is applied for P(D given B).

The probability of getting D is 0.65.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have two events A and B.

So, P(D) = P (AD) + P (BD)

P(D) = P (0.5 x 0.6) + P (0.5 x 0.7)

P(D) = 0.30 + 0.35

P(D) = 0.65

Thus, the probability of getting D is 0.65.

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=====================================================

Work Shown:

|4x| + 1 = 25

|4x| = 25-1

|4x| = 24

4x = 24 or 4x = -24

x = 24/4 or x = -24/4

x = 6 or x = -6

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

Check:

Let's plug x = 6 into the original equation and simplify both sides.

|4x| + 1 = 25

|4*6| + 1 = 25

|24| + 1 = 25

24 + 1 = 25

25 = 25

This confirms x = 6 is a solution.

The steps for x = -6 will be very similar.

The Height of trees are equal after 4 years and the height is 54 inches.

A linear equation is a equation which draws straight line on the plot

when plotted.

Given,

Height of tree A at the time of planting = 38 inches

Height of tree B at the time of planting = 22 inches

Each year  tree A grow = 4 inches

Each year  tree B grow = 8 inches

Let's make an equation for the height of the trees,

H = 38 +4t

H = 22+8t

Now the time when height of both the trees will equal

38 + 4t = 22 + 8t

4t = 16

t = 4

Hence , After 4 years the height of both the trees will equal and the height of both the trees after 4 years will be 54 inches.

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The surface area of the rectangular prism is 18 sq cm greater than the surface area of the cube.

Here, we are given a rectangular prism and a cube as shown in the figure below.

The three sides of the prism are- 2, 3 and 6

Thus, the total surface area of the cube will be-

2 [(2*3) + (3*6) + (6*2)]

= 2[6 + 18 + 12]

= 2*36

= 72 cm square

Now, the side of the cube is 3 cm

Thus, the total surface area of the cube will be-

6( 3*3 )

= 6*9

= 54 cm square

Thus, the difference between the surface area of prism and cube is = 72 - 54

= 18 cm square.

Thus, the surface area of the rectangular prism is 18 sq cm greater than the surface area of the cube.

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Your question was incomplete. Check for the missing figure below.

A polygon is a plane shape with straight sides, where the number of sides determine it nomenclature. The required answer to the question is option A.

Polygons are shapes which has straight sides. The number of sides of a polygon determines the name of the polygon. Some examples of polygons are; trigon (3 sides), pentagon (5 sides), Hexagon (6 sides), octagon (8 sides), etc.

Thus an hexagon is a plane shape which has six straight sides.

When a circle is partitioned using its radius, it would divide the circumference of the circle into six partitions. Thus joining the endpoints of intersection on the circumference of the circle will only produce an hexagon.

Therefore, only a regular hexagon inscribed in a circle can be constructed joining the endpoints. The required answer is option A.

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the amount invested at 4% interest rate = P = $1228.57

The amount invested at 5% interest rate = 2P = $2457.14

What is principle interest ?

Every mortgage payment is made up of principal and interest, which are its two main components. The principal, which you borrow for your mortgage, and the interest, which you pay each month to use the loan, are the same thing. You may select the finest mortgage choice for you by being aware of both principle and interest.

We will use the simple interest formula: A=P(1+rt)

where: A=total amount accrued, P=principal, r=rate of investment, t=time (years, here). r and t are given, and we know that the total amount accrued from both accounts minus the invested amounts (principals) will be $175.

A1=P(1+0.04*1) simplified: A1=P(1.04)

A2=2P(1+0.05*1) simplified: A2=2P(1.05)

because the amount invested in the account with interest rate of 5% is twice as much as the amount invested at 4% interest rate.

A1+A2-P-2P=175 because the total income is $175.

Substituting in equations 1 and 2 we get:

P(1.04)+2P(1.05)-P-2P=175

1.04P+2.1P-3P=175

3.14P-3P=172

0.14P=172

P=1228.57

So, the amount invested at 4% interest rate = P = $1228.57

The amount invested at 5% interest rate = 2P = $2457.14

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Answer:

8.m = ∞

9.[tex]m=\frac{20c-39}{54}[/tex]

Step-by-step explanation:

8.The equation is a vertical line, so the slope is ∞

so the answer for 8. is m = ∞

9.Switch sides:

2.7m + 1.95 = c

Multiply both sides by 100:

2.7m · 100 + 1.95 · 100 = c · 100

Refine:

270m + 195 = c · 100

Move 195 to the right side so it would be: 270m = c · 100 - 195

And now Divide both sides by 270

[tex]\frac{270m}{270}[/tex] = [tex]\frac{c*100}{270}[/tex] - [tex]\frac{195}{270}[/tex]

And now all that's left is to Simplify it

so the answer for answer 9. is [tex]m=\frac{20c-39}{54}[/tex]

Answer:

√130

Step-by-step explanation:

                              |

          ?                  |         7

                              |

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

            9

a² + b² = c²

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

√130 = c

I hope this helps!

The rate the candle burn down is 7 / 4 inches per hour.

The [tex]17\frac{1}{2}[/tex] inches candle burns down in 10 hours.  The rate the candle burn down in inches per hour can be calculated as follows:

In math, a rate is a ratio that compares two different quantities which have different units.

Hence,

rate  = length of the candle / time

length of the candle = 35  /2 inches

time  = 10 hours

rate = 35  / 2 ÷ 10

rate = 35 / 2 × 1  /10

rate = 35 / 20

rate = 7 / 4 inches per hour

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well, let's take a looksie at the picture

ahemm, the blue lines or diagonals, have sides of either 6+6 or 4+4, they make up four triangles each one with a side of 4, a side of 6 and another side that's pretty much the same on all triangles.

what the heck all that means?

well, it means, the sides AB=BC=CD=DA, and it also means the diagonals are bisecting each other, namely cutting each other in two equal halves, wait a second!!!!! equal sides, bisecting diagonals!! that's a RHOMBUS baby!  and yes, a rhombus is a parallelogram.

Step-by-step explanation:

the slope of a line ("m" in the given point-slope form) is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

we got 2 points already identified :

(-3, -4) and (1, 4).

x changes by +4 (from -3 to 1).

y changes by +8 (from -4 to 4).

the slope m is then

+8/+4 = 2

let's use e.g. (1, 4) as given point for the point-slope form (but you can use also the other, or any point on the line) :

y - 4 = 2(x - 1) = 2x - 2

y = 2x + 2

-2x + y = 2

and that is the standard form.

The measure of the numbered angles are:

m ∠1 = 42°

m ∠2 = 48°

m ∠3 = 132°

m ∠4 = 90°

From the question, we are to determine the measure of each numbered angle.

From the given information,

Line l is parallel to line m and line PQ is perpendicular to line RQ.

Since line PQ is perpendicular to line RQ,

Then, we can write that

48° + m ∠1 = 90°

m ∠1 = 90° - 48°

m ∠1 = 42°

Also,

Since line PQ is perpendicular to line RQ,

m ∠4 = 90°

Since line l is parallel to line m,

m ∠2 = 48° (Alternate interior angles)

m ∠3 + m ∠2 = 180° (Linear pair theorem)

m ∠3 + 48° = 180°

m ∠3 = 180° - 48°

m ∠3 = 132°

Hence, the measure of angle 3 is 132°

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Standard form of ellipse has equation [tex]\frac{y^2}{a^2} +\frac{x^2}{b^2} =1[/tex] where, a and b are the halves of the length of major and minor axis respectively.

Given that,

Length of major axis(2a)=6.

So

a=6/2

 =3

Length of minor axis(2b)=4.

So

b=4/2

 =2

Putting in equation of standard ellipse. We get

[tex]\frac{y^2}{3^2} +\frac{x^2}{2^2} =1[/tex]

After simplifying

4y² + 9x² = 36

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