A tailor used 6 2/3 yards of fabric to make hats. The amount of fabric needed to make each hat is 5/6 yard. How many complete hats did the tailor make?

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.

To learn more about the Pythagoras theorem visit:

https://brainly.com/question/21926466.

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Answer:

 (x - 2) • (4x + 1)

Step-by-step explanation:

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:

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

Learn more on ratio and proportion here: https://brainly.com/question/21602143

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:

Step-by-step explanation:

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

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:

look up

Step-by-step explanation:

Answer:

The approximate percentage of SAT scores that are less than 865 is 16%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1060, standard deviation of 195.

Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.

865 = 1060 - 195

So 865 is one standard deviation below the mean.

Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So

The approximate percentage of SAT scores that are less than 865 is 16%.

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

Answer:

c im pretty sure because im good at this

Answer:

A=2πrh+2πr2=2·π·2·4+2·π·22≈75.39822

Step-by-step explanation:

Step-by-step explanation:

10×10+24×24= third side ×third side

third side ×third side =100+576

third side × third side=676

third side=√676

third side=26

Answer: 4 feet.

Step-by-step explanation:

Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3

Proportion from baby elephant to its shadow = x : 12ft

These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.

In order to solve this problem, we need to cross multiply. (Attached image)  

So, 3x = 12.

By solving this equation, we find that x = 4

The height of the baby elephant is 4 feet.

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

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:

91%

Step-by-step explanation:

Hope I helped:)

Answer:

Step-by-step explanation:

70

Answer:

Answer is (4) 4/3

Step-by-step explanation:

[tex]\frac{1- -3}{5-2}[/tex]

[tex]\frac{4}{3}[/tex]

Answer:

slope is 4/3

Step-by-step explanation:

1-(-3)/5-2

4/3

Answer:

5.009

Step-by-step explanation:

5.009

       /\

      1000th

Answer:

5.009 is the ans. did u got it

Answer:

25

Step-by-step explanation:

225 divided by 9 is 25

Answer:

56 ft square (Approx)

Step-by-step explanation:

Area of Rhombus= (1/2) * D1* D2 {D1 = 4.5; D2 = 5*5= 25}

= 1/2 * 4.5 * 25

= 56.25

= 56 ft square (Approx)

Answer:

22.5ft²

Step-by-step explanation:

4.5ft x 5ft = 22.5ft²

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:

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