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3 years ago

Dok = (6, 12) (3,6) The scale factor is A. 1/2 B. 2 C. 4

Mathematics

2 answers:

noname [10]3 years ago

7 0

Answer:

Step-by-step explanation:

The scale factor is from (6, 12) to (3, 6) is a.

1/2(6) = 3

1/2(12)= 6

Serga [27]3 years ago

5 0

Answer:

A. 1/2

Step-by-step explanation:

For 6 to become 3 and 12 to become 6, the (6,12) is being multiplied by 1/2.

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Sebuah balok berukuran panjang 3 cm, lebar 4 cm, dan panjang diagonal ruang 13 cm. Volume balok adalah

kramer

Answer:

$V=144\ cm^3$

Step-by-step explanation:

#We use the base diagonal and the height diagonal to calculate the beam's height:

$h=\sqrt{13^2-(4^2+3^2)}\\\\h=12\ cm$

#The volume of the beam can then be calculated as:

$V=lwh\\\\=4\times 3\times 12\\\\=144\ cm^3$

Hence, the beam's volume is $144\ cm^3$

5 0

3 years ago

Ill mark brainlist plss help

BaLLatris [955]

Answer:

Your answer would be 13.2.

8 0

3 years ago

In a pen of goats and chickens, there are 40 heads. and 130 feet How many goats and chickens are there?

timama [110]

Answer:

25 goat and 15 chicken

Step-by-step explanation:

Say the number of goats is G, then the number of chickens is 40 - G as there are 40 heads and each chicken and each goat has one head.

The number of feet is 130

So 2(40 - G) + 4G = 130

So 80 - 2G + 4G = 130

2G = 50

G = 25

25 goats and 15 chickens

8 0

3 years ago

In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p

skelet666 [1.2K]

Answer:

$\mathbf{P(X=5) =0.0888}$

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

$\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}$

$\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}$

where;

n = 8 and π = 0.36

For x = 5

The probability $\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}$

$\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =0.0887645}$

$\mathbf{P(X=5) =0.0888}$ to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5) $\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})$

${P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +$ $\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )$