Find the value of x.

Answers

Answer 1

Answer:

Using the Pythagorean Theorem, we find that x = 10.

To find the value of x, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

In this case, the hypotenuse is x, and the legs are 6 and 8. Therefore, we can write the Pythagorean Theorem as follows:

x^2 = 6^2 + 8^2

x^2 = 36 + 64

x^2 = 100

x = sqrt(100)

Therefore, the value of x is 10.

Here is a more detailed explanation of the Pythagorean Theorem:

The Pythagorean Theorem is a mathematical formula that describes the relationship between the three sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In other words, if a right triangle has sides of length a, b, and c, where c is the hypotenuse (the longest side), then the following equation holds:

c^2 = a^2 + b^2

This equation can be used to find the length of any side of a right triangle, given the lengths of the other two sides.

For example, if we know the lengths of the legs of a right triangle, we can use the Pythagorean Theorem to find the length of the hypotenuse. Or, if we know the length of the hypotenuse and one of the legs, we can use the Pythagorean Theorem to find the length of the other leg.

The Pythagorean Theorem is one of the most important theorems in mathematics, and it has many applications in geometry, trigonometry, and physics. It is also used in many real-world applications, such as surveying, construction, and navigation.

For such more questions on Pythagorean

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Simplify the expression shown below.
(6a⁴bc)(7ab³c)=

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$(6a^4bc)(7ab^3c)= 6\cdot 7\cdot a^4\cdot a\cdot b \cdot b^3\cdot c\cdot c =\n \n =42\cdot a^(4+1)\cdot b^(1+3)\cdot c^(1+1)=42a^5b^4c^2$

A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added. If this is true (and assuming cars arriving independently), find the probability of each of the following:A. One out of the next four cars needs oil.B. Two out of the next eight cars needs oil.C. 5 out of the next 20 cars needs oil.

Answers

This question is about the concept of binomial probability distribution.

A) P(1) = 0.2916

B) P(2) = 0.1488

C) P(5) = 0.03192

Formula for binomial probability distribution is;

P(x) = nCx • p^(x) • q^(n - x)

Where; q = 1 - p

From the question, we are told that the claim is that 1 out of 10 cars need to have their oil checked.

Thus; p = 1/10 = 0.1

q = 1 - 0.1

q = 0.9

A) P(one out of the next four cars need oil) is;

P(1) = 4C1 × 0.1^(1) × 0.9^(4 - 1)

P(1) = 4 × 0.1 × 0.9³

P(1) = 0.2916

B) P(2 out of the next 8 cars needs oil) is;

P(2) = 8C2 × 0.1² × 0.9^(8 - 2)

P(2) = 28 × 0.01 × 0.531441

P(2) = 0.1488

C) P(five out of the next twenty cars needs oil) ;

P(5) = 20C5 × 0.1^(5) × 0.9^(20 - 5)

P(5) = 15504 × 0.00001 × 0.20589113209

P(5) = 0.03192

Read more at; brainly.com/question/24239758

Answer:

0.2916, 0.1488, 0.0319

Step-by-step explanation:

Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.

Since each trial is independent there is a constant probability for any random car to need oil is 0.10

Let X be the number of cars that need oil

A) Here X is BIN(4,0.1)

$P(X=1) = 4C1(0.1)(0.9)^3 \n= 0.2916$

B) Here X is Bin (8, 0.1)

$P(x=2) = 8C2 (0.1)^2 (0.9)^6\n\n=0.1488$

C) Here X is Bin (20,5)

$P(x=5) = 20C5 (0.1)^5 (0.9)^(15) \n=0.0319$

PLZZZ HELPPP ME!!!A road map shows the intersections of roads. There are three parallel roads cut by
a fourth road that acts like a transversal.
What is tru
Choose one
If ZEBC mea
ZHEF has th
The sum of th

Answers

Answer:

Step-by-step explanation:

A cross product is an equation which states that two ratios are equal. true or false

Answers

I would say that the answer would be false.

Answer:

True

Step-by-step explanation:

The cross-product property states that if the cross products of two ratios are equal, then the ratios are equivalent (equal).

Therefore, the answer to your question would be true.

Hope this helps.

P.S; the answer above is correct in the sense of a proportion, which is an equation that directly states the equality of two ratio's.

Use Pascal's triangle or the Binomial theorem to expand the binomials. 1. (3c-2d)^4
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3. (x^2+4)^3

Answers

$(3c-2d)^4=(3c)^4-4(3c)^3\cdot2d+6\cdot(3c)^2\cdot(2d)^2-4\cdot3c\cdot(2d)^3-(2d)^4\n\n=81c^4-216c^3d+216c^2d^2-96cd^3-16d^4\n-------------------------------\n(2n+3)^2\n=(2n)^5+5(2n)^4\cdot3+10(2n)^3\cdot3^2+10(2n)^2\cdot3^3+5\cdot2n\cdot3^4+3^5\n\n=32n^5+240n^4+720n^3+1080n^2+810n+243\n-------------------------------\n(x^2+4)^3=(x^2)^3+3(x^2)^2\cdot4+3x^2\cdot4^2+4^3\n\n=x^6+12x^4+48x^2+64$

Katarina bought a package of 500 stickers. Each sheet in the package has 20 stickers.25% of the stickers on each sheet are hearts. The remaining stickers are stars.

Drag the tiles to identify the number of heart stickers and the number of star stickers in the package.
Numbers may be used once or not at all.
20
25
100
125
325
375
475
480
Number of Heart Stickers
Number of Star Stickers Pls tell me it really hard :(

Answers

Step-by-step explanation:

Total number of stickers is 500.

25% of the total number is hearts:

500*25/100 = 125 heart stickers

The rest of the stickers are stars:

500 - 125 = 375 star stickers

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