Danielle can type 600 words in 30 minutes. How many words can she type per minute?
A.
10 words per minute
B.
20 words per minute
C.
25 words per minute
D.
50 words per minute
E.
60 words per minute

Answer:

The answer to this equation is 9+4n

The radian measure of Angle E should be labeled π/3 or 60 degrees, and F should be labeled 2(π/3) or 120 degrees.

A full circle in radian measures is 2π and half π

If we divide π into 3 equal parts it should be π/3 radian.

Angle EAP would be π/3 radians because E is one-third of the way from A to P.

In degrees, π/3 radians is equal to (180/π) × π/3 = 60°

Angle FAP would be 2×(π/3) radians givn that F is 2/3 of the way from A to P.

In degrees, 2×(π/3) radians is equal to (180/π) × 2(π/3) = 120°.

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Answer:

Simplified Expansion=(2(-x+1))/(x+1)

Expansion=2/1+x (1-x)

Step-by-step explanation:

The probability of selecting a heart and then a star with replacement is approximately 0.1875 or 18.75%.

Assuming that a standard deck of 52 playing cards is used, with 13 cards of each suit (including hearts) and 4 suits in total, the probability of selecting a heart on the first draw and then selecting a star (presumably meaning a card from a different suit) on the second draw with replacement is

P (heart than star)

= P (heart) × P (star)

= 13/52 × 39/52

= 507/2704

= 0.1875

where P (heart) is 13/52 is the probability of selecting a heart on the first draw (since there are 13 hearts in the deck), and P (star) is the probability of selecting a card that is not a heart on the second draw (since there are 39 non-heart cards left in the deck after the heart is replaced).

Therefore, the probability of selecting a heart and then a star with replacement is approximately 0.1875 or 18.75%.

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-- The given question is incomplete, the complete question

"What is the probability of selecting a heart and then a star with replacement?" --

Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.

Therefore,

\(x^(3+5) = x^8\)

Now,

\(x^(3+5) = x^8\)

is of the form:

\(x^b = x^p\)

When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,

p = 8

There we have it. The value of p is 8. The full solution is shown below:

\(x^3 × x^5 \\= x^px^8\\ = x^p\)

We can see that the base of the exponential expression on either side is equal.

Therefore, the power of the base must be equal as well. In other words

,p = 8.

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

Explanation:

Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.

The same thing applies to this current problem as well.

Divide each term by the -1.8 we want to factor out.

The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)

You can use distribution to verify this

-1.8(-2b+5)

-1.8*(-2b) - 1.8*(5)

3.6b - 9

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

Work Shown:

5a^2

5(2)^2

5(4)

20

Explanation:

I replaced 'a' with 2, since a = 2. Then use PEMDAS to simplify the expression into one single number at the end. The value b = 6 won't be used at all since b is not found anywhere in the original expression.

Answer:

5a² = 20

Step-by-step explanation:

Given expression,

→ 5a²

Now we have to,

→ Evaluate the given expression.

We have to use,

→ a = 2

→ b = 6

Let's evaluate the expression,

→ 5a²

→ 5 × (a)²

→ 5 × (2)²

→ 5 × 4

→ 20 => {solution}

Therefore, the answer is 20.

_________________________________

Range=20

Median=15

Step by step explanation:

Solution,

Given data=12,13,19,16,32,15,13

Highest score=32

lowest score=12

a. Range= highest score- lowest score

= 32-12

= 20

B. Arranging the data in ascending order

= 12,13,13,15,16,19,32

N( total number of items)= 7

Median= (N+1/2)th item

=(7+1/2) th item

= (8/2) th item

= 4 th item

Median = 15

Hope it helps

Good luck on your assignment

_________________________________

Answer:

Step-by-step explanation:

The transitive property of equality says--in very informal terms--if thing 1 = thing 2 and thing 2 = thing 3, then thing 1 = thing 3.  See how thing 2 appears twice?  That's a "spoiler alert" for this question.

So, what are thing 1, thing 2, and thing 3?

Take a look at how the answer space begins:  9y.  That must be thing 1 because the conclusion of the transitive property is thing 1 = ...

Now, what is mentioned twice?  2x.  That must be thing 2.

The remaining expression is thing 3: 10x - 8y + 3.

So it goes like this:

9y = 2x

2x = 10x - 8y + 3

Therefore, 9y = 10x - 8y + 3

Answer:

Step-by-step explanation:

value is decreasing so rate should be <1

f(x)=Pr^x

=1250 (0.8)^x

if x=1

f(1)=1250(0.8)^1=1000 $

if x=2

f(2)=1250(0.8)^2=800 $

if x=3

f(3)=1250(0.8)^3=640  $

so D is the correct answer.

The probability that the sample mean would differ from the true mean by less than 5.4 months is approximately 1.0000 or 100%.

We are given the following information:

1. The mean life of a television set (µ) is 138 months.
2. The variance (σ²) is 324 months.
3. We have a sample of 83 televisions (n).
4. We want to find the probability that the sample mean (X) differs from the true mean by less than 5.4 months.

First, let's find the standard deviation (σ) by taking the square root of the variance:
σ = √324 = 18 months

Next, we'll find the standard error (SE) using the formula SE = σ / √n:
SE = 18 / √83 ≈ 1.974

Now, let's find the Z-score corresponding to the desired difference of 5.4 months:
Z = (5.4 - 0) / 1.974 ≈ 2.734

Using a Z-table or calculator, we find the probability corresponding to Z = 2.734 is approximately 0.9932. Since we're looking for the probability that the sample mean differs from the true mean by less than 5.4 months, we need to consider both tails of the distribution (i.e., the probability of the sample mean being 5.4 months greater or 5.4 months lesser than the true mean). So, we need to calculate the probability for -2.734 as well, which is 1 - 0.9932 = 0.0068.

Finally, we'll add the probabilities for both tails to get the answer:
P(-2.734 < Z < 2.734) = 0.9932 + 0.0068 = 1.0000

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Answer:

For X is (x=4y−4) and for Y is (y= 1 /4 x+1)

Step-by-step explanation:

Let's solve for x.

x−4y=−4

Step 1: Add 4y to both sides.

x−4y+4y=−4+4y

x=4y−4

Answer:

x=4y−4

Let's solve for y.

x−4y=−4

Step 1: Add -x to both sides.

x−4y+−x=−4+−x

−4y=−x−4

Step 2: Divide both sides by -4.

−4y /−4  =  −x−4 /−4

y= 1 /4 x+1

The correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

In a circle, the center is located at the midpoint of any diameter. A diameter is a line segment that passes through the center of the circle and has its endpoints on the circle. Therefore, if we are given the endpoints of a diameter, we can determine the center of the circle by finding the midpoint of these endpoints. This means that the x-coordinate of the center will be the average of the x-coordinates of the endpoints, and the y-coordinate of the center will be the average of the y-coordinates of the endpoints.

Option A is not necessarily true because the x-coordinate of the center may or may not be the same as the x-coordinates of the given endpoints.

Option C is incorrect because the center of the circle can be found by determining the midpoint of the diameter.

Option D is not necessarily true because the y-coordinate of the center may or may not be the same as the y-coordinates of the given endpoints.

Therefore, the correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

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Answer:

No Solution

Step-by-step explanation:

2 (n - 8) < 16 + 2n

Step 1.) Multiply 2 by n and -8

2n - 16 < 16 + 2n

Step 2.) Add the 16 on the left to the 16 on the right

2n < 32 +2n

Step 3.) Subtract 2n on the right from the 2n on the left

0 < 32

If the answers on both sides had both been 0 then it would have been Infinite Solutions but because there is only one 0, the answer is No Solution

Answer:

7) 7.8*10^0

8) 3.2 * 10 ^-7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

7.80

The coefficient must bebetween 1 and 10.

7.80x10^0

We move the decimal point 0 units or don't touch it at all.

0.00000032

3.2x10^-7

Remember that the negative exponent means the number is small and we move the decimal point to the left.

Hope it helps!

\(GraceRosalia\)

Answer: she will have enough for 22 students.

Step-by-step explanation:

How many ribbons can she give out if she gives each student 1/8th of a foot of ribbon?

3 divided by 1/8 = 24

She can give out 24 ribbons.

24>22.

So, she will have enough for 22 students.

Answer: 7 MICE

Step-by-step explanation: 12-5 is 7

The two different quantities Analia thought to measure which school has higher academic performance are :

B. Graduation rate / Budget per student

D. SAT average / Budget per student

In other to define a quantity which measures academic achievement;

We take the ratio of a related metric or parameter which is a measure of the academic performance of the student in each school and the budget per student for each school .

The parameters which could be used to measure academic achievement are;

The graduation rate of each school.

The SAT average of each school.

Hence, the quantity to measure academic achievement relative to budget per student could be expressed as ;

Graduation rate / Budget per student

SAT average / Budget per student

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Answer:

-1/5

Step-by-step explanation:

Rise/Run = 1 /5

Its negative because the run is going left instead of right

Answer:

Answer:

Step-by-step explanation:

steps are below

step 1

y^3-8y^2+19y=12  equation

step 2

y^3-8y2+19y(-12)=12(-12)  minus 12 from both sides

y^3-8y^2+19y-12=0

step 3

(y-1)(y-3)(y-4)=0  add brackets

step 4

(y-1)(y-3)(y-4)=0  factor

step 5

y-1=0 or y−3=0 or y-4=0  set them equal

Answer:

y=1 or y=3 or y=4

The probability of drawing one blue cube and one yellow cube from the bag is 2/25 or 8%.

Determine the total number of cubes in the bag.

There are a total of 2 yellow cubes + 1 red cube + 1 blue cube + 1 green cube = 5 cubes in the bag.

Determine the number of ways to draw one blue cube and one yellow cube.

To draw one blue cube and one yellow cube, we need to consider the number of ways to choose one blue cube out of the two available blue cubes and one yellow cube out of the two available yellow cubes. The number of ways can be calculated using the multiplication principle.

Number of ways to choose one blue cube = 2

Number of ways to choose one yellow cube = 2

Using the multiplication principle, the total number of ways to draw one blue cube and one yellow cube = 2 x 2 = 4.

Determine the total number of possible outcomes.

The total number of possible outcomes is the total number of ways to draw two cubes from the bag, with replacement. Since we put the cube back into the bag after each draw, the number of possible outcomes remains the same as the total number of cubes in the bag.

Total number of possible outcomes = 5

Calculate the probability.

The probability of drawing one blue cube and one yellow cube is given by the number of favorable outcomes (4) divided by the total number of possible outcomes (5).

Probability = Number of favorable outcomes / Total number of possible outcomes = 4 / 5 = 2/25 or 8%.

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Answer: x = 2 and y = 5

Step-by-step explanation:

y = 2x + 1

3x + y = 11

Substitute

3x + (2x + 1) = 11

5x + 1 = 11

Subtract both sides by 1

5x = 10

Divide both sides by 5

x = 2

y = 2x + 1

Substitute

y = 2 (2) + 1

y = 4 + 1

y = 5

The side of square is 216 units and side of cube is 36 units.

According to question we have given that Sally has a cube of some length in units. Let the length of side of cube is S units .

As we know , Area of cube = 6 (side)²= 6S² square units.

Volume of cube = (side)³ = S³ cubic units

Then, as given area in square units of cube = 1/6 of volume of cube in cubic units . That is 6S²= 1/6 S³ => S = 36 units

Area of cube with side 36 units = 6×36²=46656 square units

Volume of cube with side 36 units = 36 ³ cubic units

So, the side of cube is 36 units.

Also, the number of square units in area of Square = number of cubic units in volume of cube

Area of square (S²) = 46656

Side of square = sqrt (46656 ) = 216 units

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Answer:

84.1

Step-by-step explanation:

You just add 36.6 and 59.3 and then subtract that answer from 180

The measure of the third angle of the triangle is 84.1°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the Triangle be ΔABC

Now , the first angle of the triangle be ∠A = 36.6°

The second angle of the triangle be ∠B = 59.3°

Let the third angle of the triangle ∠C be = x

Now , from the triangle angle theory , we know that

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

So , substituting the values in the equation , we get

36.6° + 59.3° + x =  180°

95.9° + x = 180°

Subtracting 95.9° on both sides of the equation , we get

x = 180° - 95.9°

x = 84.1°

And , the third angle of the triangle ∠C = 84.1°

Therefore , the value of x is 84.1°

Hence , The measure of the third angle of the triangle is 84.1°

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Answer:

x=20-y

y=20-x

Step-by-step explanation:

divide by 2 on both sides: x+y=20

to find x, subtract y:

x=20-y

to find y, subtract x:

y=20-x

nothing else can be done unless you know either y or x.

Answer:

1/5

Step-by-step explanation:

Answer:

1/5 are you joking?

Step-by-step explanation: