b) Solve (2 - x)2 <25
If you need to use fractions, they can be written in the form a/b

Answer:

25

Step-by-step explanation:

225 divided by 9 is 25

Answer:

26.7777778 or 26.78 rounded

Step-by-step explanation:

Answer:

they ate 1/3 and thrte is 2/3 left

Step-by-step explanation:

subtraction

One-third of the pizza will be left

Let the total amount of pizza eaten be "x

Total pizza ate = x/3 + x/3

Total pizza eaten = 2x/3

Amount of pizza left = x - 2x/3

Amount of pizza left = (3x-2x)/3

Amount of pizza left = x/3

Hence one-third of the pizza will be left

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Answer:

1) D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Step-by-step explanation:

Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president

Given that;

P(D) = 0.23

P(R) = 0.64

Conditional P(D | R) =  0.35

1) Are R and D independent events?

we know that two events A & B are independent events if; P(B | A) = P(B)

here, P(D | R) =  0.35 and P(D) = 0.23

so; P(D | R) ≠ P(D)

Therefore D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020;

we know that;

P(D | R) = P(D ∩ R) / P(R)

we substitute

0.35 = P(D ∩ R) / 0.64

P(D ∩ R) = 0.35 × 0.64

P(D ∩ R)  = 0.224

Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?

P(R | D) = P(D ∩ R) / P(D)

we substitute

P(R | D) = 0.224 / 0.23

P(R | D) = 0.9739

Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both

P(D ∪ R) = P(D) + P(R) - P(D ∩ R)

we subtitute

P(D ∪ R) = 0.23 + 0.64 - 0.224

P(D ∪ R)  = 0.646

Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Answer:

çoook yardım etmek isterdim ama biz kesirlerde bu konuyu daha işlemedik çok özür dilerim

Answer:

mean

Step-by-step explanation:

The method to summarize the data will be mean

The mean of the laps of swim team is 84.1 laps

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the data be represented by the set A

Let the mean of the data set be M

The value of set A = { 77 , 79 , 80 , 82 , 84 , 85 , 86 , 87 , 90 , 91 }

The total number of data elements in the set = 10

Now , since all the data elements are distributed normally and does have a central point

So , it follows normal distribution

Therefore , the mean of the data will be

Mean M = Sum of Values / Number of Values

Mean = ( 77 + 79 + 80 + 82 + 84 + 85 + 86 + 87 + 90 + 91 ) / 10

Mean = 841 / 10

Mean M = 84.1 laps

Therefore , the value of M is 84.1

Hence , The method to summarize the data will be mean

The mean of the laps of swim team is 84.1 laps

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Answer:

Step-by-step explanation:

70

Answer:

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.

Answer:

•the range of packages shipped to rare vinyl is greater than the range of packages shipped to aquarium world.•

•The distribution of the data for packages shipped to both business is approximately symmetrical.•

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

E.......................

Answer:

look up

Step-by-step explanation:

Answer:

without rounding off to the nearest hundredth it's 2.0711

Step-by-step explanation:

first rearrange the triangle lyk above.

Then use trigonometry SOHCAHTOA

TOA applies for this

tan25=x/5

x=5tan25

x=2.0711

hope that helps

Answer:

1. x=6

2. x=2

Step-by-step explanation:

2:6

x:18

From 6 to 18, 6 was multiplied by 3. To keep the equality, we must multiply the other side by three as well. Therefore, x is equal to 2*3 which equals 6.

x=6.

5:7

(x+3):7

For this one, the second value did not change, so we know that x+3 has to equal 5. Therefore, x=2.

x=2

Answer:

91%

Step-by-step explanation:

Hope I helped:)

Answer:

18: Safe volume: s <= 115. Unsafe: s > 115.

19: 2-a, 1-b, 3-c, 4-d

20a: Justin is incorrect. 12 is a solution. 12 >= 12 is a true statement.

20b: f > 12

Step-by-step explanation:

Given:

The functions are

[tex]f(x)=-5x^2+4x-9[/tex]

[tex]g(x)=8x^2-3x-4[/tex]

To find:

The value of (f+g)(x).

Solution:

We know that,

[tex](f+g)(x)=f(x)+g(x)[/tex]

Putting the given functions, we get

[tex](f+g)(x)=-5x^2+4x-9+8x^2-3x-4[/tex]

On combining like terms, we get

[tex](f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)[/tex]

[tex](f+g)(x)=3x^2+x-13[/tex]

Therefore, the required function is [tex](f+g)(x)=3x^2+x-13[/tex].

Answer:

x = 1.02564

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

35 + 0.8x = 43 - 7x

Step 2: Solve for x

Complete question :

A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with

45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make atleast $300 each day. What combinations of mangos and apples that could be sold to meet the goal. List two possible

combinations

Answer:

m = 45 ;a = 40

m = 45 ; a = 45

Step-by-step explanation:

Mangoes, m = $4

Apples, a = $3

Total :

45 pounds of mangoes

50 pounds of apple

4m + 3a ≥ 300

If m = 45

a = 40

4(45) + 3(40)

180 + 120 = 300

If m = 45 ; a = 45

4(45) + 3(45)

180 + 135 = 315

Hence, 2 possible combination :

m = 45 ;a = 40

m = 45 ; a = 45

For all possible solutions :

4m + 3a ≥ 300

Answer:

a. 7% probability that the selected individual owns shares in the balanced fund.

b. 31% probability that the individual owns shares in a bond fund.

c. 58% probability that the selected individual does not own shares in a stock fund

Step-by-step explanation:

a. What is the probability that the selected individual owns shares in the balanced fund?

7% of the individuals owns shares in the balanced fund, so 7% probability that the selected individual owns shares in the balanced fund.

b. What is the probability that the individual owns shares in a bond fund?

Bond funds (short, intermediate, and long-term):

15%(short-term) + 11%(intermediate-term) + 5%(long-term)

15%+11%+5% = 31%

31% probability that the individual owns shares in a bond fund.

c. What is the probability that the selected individual does not own shares in a stock fund?

Anything but moderate and high risk stock%.

The sum of all probabilities is 100%.

18% + 24% = 42% own stock fund.

100 - 42 = 58%

58% probability that the selected individual does not own shares in a stock fund

Answer:

A2 + B2 = C2, so 4 squared + 19 squared = C2, 16 + 361 = 377. 377's square root is 19.4.

Step-by-step explanation:

The measure of the hypotenuse is 19.4 cm.

Given that, one of the legs of a right triangle measures 4 cm and the other leg measures 19 cm.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Let the measure of the hypotenuse be x.

Using Pythagoras theorem,

x² = 4² + 19²

⇒ x² = 16 + 361

⇒ x² = 377

⇒ x = √377

⇒ x = 19.4 cm

Therefore, the measure of the hypotenuse is 19.4 cm.

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Answer:

37318.4

Step-by-step explanation:

hope this helps

Answer:

Either [tex]x = -15[/tex] or [tex]x = 15[/tex].

Step-by-step explanation:

[tex]|x| = \left\lbrace \begin{aligned} & x && \text{if $x \ge 0$} \\ & -x && \text{if $x < 0$}\end{aligned}\right.[/tex].

Hence, there are two possibilities to consider:

If [tex](x / 5) \ge 0[/tex], then [tex]|x / 5| = x / 5[/tex].

Substitute into the original equation: [tex]x/ 5= 3[/tex]. Solve for [tex]x[/tex]: [tex]x = 15[/tex].

Important: verify that the solution [tex]x = 15[/tex] meet the assumption [tex](x / 5) \ge 0[/tex]. Indeed, [tex](x / 5) = (15 / 5) = 3[/tex] and is indeed non-negative. Hence, the solution [tex]x = 15\![/tex] is valid.

On the other hand, if [tex](x / 5) < 0[/tex], then [tex]|x / 5| = - x / 5[/tex].

Substitute into the original equation: [tex](-x / 5) = 3[/tex]. Solve for [tex]x[/tex]: [tex]x = -15[/tex].

Similarly, verify that the solution [tex]x= - 15[/tex] satisfies the current assumption that [tex](x / 5) < 0[/tex]. Indeed, this assumption is met, and [tex]x = -15[/tex] is also a valid solution.

Answer:

7 hours

So you so 642-425= 217, then you do 217/31= 7

your answer is 7

Answer:

C(5)= $13,172.05

Step-by-step explanation:

To calculate C(t), we need to divide the formula into two equations:

C(t) =b(t) +h(t)

b(t)= PV*(1+i)^n

n= number of months

i= monthly interest rate

PV= initial investment

h(t)= montlhy deposit* number of months

Now, for C(5); I assume its 5 years:

i= 0.036/12= 0.003

n= 5*12= 60

C(5)= 9,000*(1.003^60) + 40*60

C(5)= $13,172.05

Answer:

Conversations of currencies

Step-by-step explanation:

I am 100% sure that's the other way

Answer:

76 cm cubed

Step-by-step explanation:

2 x 2 x 4 = 16 cm cubed

3 x 4 x 5 = 60 cm cubed

Answer:

B, C and F

Step-by-step explanation:

A constant is where a variable or number is on its own

B - 2x-4 (4 is the constant)

C - 8x+y (y is the constant)

F - 7+4x (7 is the constant)