All categories

2 years ago

What is the answer for A B and X (geometry)

Mathematics

2 answers:

FrozenT [24]2 years ago

7 0

Answer:

a=8

b=5

x=13

Step-by-step explanation:

Use Pythagoras's Theorem to find A

h²=y²+z²

10²=a²+6²

100=a²+36

∴a²=64

∴a=8

Use Pythagoras's Theorem to find A

h²=y²+z²

9²=b²+6²

81=b²+36

∴b²=45

∴b=3√5

x=a+b

=8+3√5

aksik [14]2 years ago

3 0

Answer:

a = 8

b = ∛5

x = 8 + ∛5

Step-by-step explanation:

I think here we have to do pythagorean theorem a² + b² = c² or c =√a² + b²

Now just plug in the numbers for 9, 6 and b

6² + b² = 9²

36 + b² = 81

b² = 45

b = 6.70820....

b = ∛5

∛5 = 6.70820..

Now plug in 6, 10, a

a² + 6² = 10²

a² + 36 = 100 (subtract 36 on both sides)

a² = 64

√64 = 8

a = 8

NOW X

8 + √45 = 14.708203

8 + ∛5 = 14.708203

x = 8 + ∛5

Hope this helps ya!!!

You might be interested in

List the probability value for each possibility in the binomial experiment calculated at the beginning of this lab, which was ca

Yanka [14]

Answer:

a. P(X = 0)= 0.001

b. P(X = 1)= 0.001

c. P(X=2)= 0.044

d. P(X=3)= 0.117

e. P(X=4)= 0.205

f. P(X=5)= 0.246

g. P(X=6)= 0.205

h. P(X=7)= 0.117

i. P(X=8)= 0.044

j. P(X=9)= 0.001

k. P(X=10)= 0.001

Step-by-step explanation:

Hello!

You have the variable X with binomial distribution, the probability of success is 0.5 and the sample size is n= 10 (I suppose)

If the probability of success p=0.5 then the probability of failure is q= 1 - p= 1 - 0.5 ⇒ q= 0.5

You are asked to calculate the probabilities for each observed value of the variable. In this case is a discrete variable with definition between 0 and 10.

You have two ways of solving this excersice

1) Using the formula

$P(X)= \frac{n!}{(n-X)!X!} * (p)^X * (q)^{n-X}$

2) Using a table of cummulative probabilities of the binomial distribution.

a. P(X = 0)

Formula:

$P(X=0)= \frac{10!}{(10-0)!0!} * (0.5)^0 * (0.5)^{10-0}$

P(X = 0) = 0.00097 ≅ 0.001

Using the table:

P(X = 0) = P(X ≤ 0) = 0.0010

b. P(X = 1)

Formula

$P(X=1)= \frac{10!}{(10-1)!1!} * (0.5)^1 * (0.5)^{10-1}$

P(X = 1) = 0.0097 ≅ 0.001

Using table:

P(X = 1) = P(X ≤ 1) - P(X ≤ 0) = 0.0107-0.0010= 0.0097 ≅ 0.001

c. P(X=2)

Formula

$P(X=2)= \frac{10!}{(10-2)!2!} * (0.5)^2 * (0.5)^{10-2}$

P(X = 2) = 0.0439 ≅ 0.044

Using table:

P(X = 2) = P(X ≤ 2) - P(X ≤ 1) = 0.0547 - 0.0107= 0.044

d. P(X = 3)

Formula

$P(X = 3)= \frac{10!}{(10-3)!3!} * (0.5)^3 * (0.5)^{10-3}$

P(X = 3)= 0.11718 ≅ 0.1172

Using table:

P(X = 3) = P(X ≤ 3) - P(X ≤ 2) = 0.1719 - 0.0547= 0.1172

e. P(X = 4)

Formula

$P(X = 4)= \frac{10!}{(10-4)!4!} * (0.5)^4 * (0.5)^{10-4}$

P(X = 4)= 0.2051

Using table:

P(X = 4) = P(X ≤ 4) - P(X ≤ 3) = 0.3770 - 0.1719= 0.2051

f. P(X = 5)

Formula

$P(X = 5)= \frac{10!}{(10-5)!5!} * (0.5)^5 * (0.5)^{10-5}$

P(X = 5)= 0.2461 ≅ 0.246

Using table:

P(X = 5) = P(X ≤ 5) - P(X ≤ 4) = 0.6230 - 0.3770= 0.246

g. P(X = 6)

Formula

$P(X = 6)= \frac{10!}{(10-6)!6!} * (0.5)^6 * (0.5)^{10-6}$

P(X = 6)= 0.2051

Using table:

P(X = 6) = P(X ≤ 6) - P(X ≤ 5) = 0.8281 - 0.6230 = 0.2051

h. P(X = 7)

Formula

$P(X = 7)= \frac{10!}{(10-7)!7!} * (0.5)^7 * (0.5)^{10-7}$

P(X = 7)= 0.11718 ≅ 0.1172

Using table:

P(X = 7) = P(X ≤ 7) - P(X ≤ 6) = 0.9453 - 0.8281= 0.1172

i. P(X = 8)

Formula

$P(X = 8)= \frac{10!}{(10-8)!8!} * (0.5)^8 * (0.5)^{10-8}$

P(X = 8)= 0.0437 ≅ 0.044

Using table:

P(X = 8) = P(X ≤ 8) - P(X ≤ 7) = 0.9893 - 0.9453= 0.044

j. P(X = 9)

Formula

$P(X = 9)= \frac{10!}{(10-9)!9!} * (0.5)^9 * (0.5)^{10-9}$

P(X = 9)=0.0097 ≅ 0.001

Using table:

P(X = 9) = P(X ≤ 9) - P(X ≤ 8) = 0.999 - 0.9893= 0.001

k. P(X = 10)

Formula

$P(X = 10)= \frac{10!}{(10-10)!10!} * (0.5)^{10} * (0.5)^{10-10}$

P(X = 10)= 0.00097 ≅ 0.001

Using table:

P(X = 10) = P(X ≤ 10) - P(X ≤ 9) = 1 - 0.9990= 0.001

Note: since 10 is the max number this variable can take, the cummulated probability until it is 1.

I hope it helps!

4 0

3 years ago

The slope-intercept form of a line is y=mx+b .

d1i1m1o1n [39]

Answer:

$m$ is the slope and $b$ is the y-intercept.

Step-by-step explanation:

The slope-intercept form of a line is given as:

$y=mx+b$

Here, the coefficient of $x$ represents the slope of the line.

The coefficient of $x$ is $m$ and hence the slope.

y-intercept is the value of $y$ for which is $x$ is 0.

Now, if we put $x$ as 0 in the above equation, we get

$y=m(0)+b\\ y=0+b\\ y=b$

Therefore, y-intercept is $b$ .

Hence, for the line with slope-intercept form $y=mx+b$ , $m$ is the slope and $b$ is the y-intercept.

3 0

3 years ago

Plz help <br> Dana sells tomatoes

insens350 [35]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Complete the proof of ∆JKL ≅ ∆LMN, by providing the reason for each of the statements below. Reasons MAY be used more than once.

aksik [14]

Answer:

See below

Step-by-step explanation:

1. JK ∥ LM, KL ∥ MN Given

2. ∠KJL ≅ ∠MLN; ∠KLJ ≅ ∠MNL c. Corresponding Angles

3. JK ≅ LM Given

4. ∆JKL ≅ ∆LMN e. AAS

5 0

2 years ago

Cayden wants to buy a television that costs $600, including taxes. To pay for the television, he will use a payment plan that re

kobusy [5.1K]

well, the regular cost of the TV is 600 bucks, that includes taxes already, so is just 600 flat.

the payment plan makes Cayden pay 225 first, leaving 375 for periodic payments for 6 months, each payment of 74.50.

well, 74.5*6 = 447, so Cayden is paying 225 + 447 = 672, so the increase is 72 bucks.

If we take 600 to be the 100%, how much is 72 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 600&100\\ 72&x \end{array}\implies \cfrac{600}{72}=\cfrac{100}{x}\implies \cfrac{25}{3}=\cfrac{100}{x} \\\\\\ 25x=300\implies x=\cfrac{300}{25}\implies x=12$

7 0

2 years ago