All categories

3 years ago

What is the image point of (2, 4) after a translation left 4 units and down 1 unit?

Mathematics

1 answer:

Kitty [74]3 years ago

8 0

Answer:

the answer is (-2,3)

Step-by-step explanation:

when moving to the left you going across the x axis 4 times and going down once om the u axis

You might be interested in

Suppose that the probability of suffering a side effect from acertain flu vaccine is 0.005. If 1000 persons are inculated, finda

aniked [119]

Answer:

The answers to the question are

a) The probability that at most 1 person suffers side effect from the flu vaccine is 4.043×10⁻²

b) The probability that 4,5,or 6 persons suffer side effect from the flu vaccine is 0.49716.

Step-by-step explanation:

We solve the question using the formula for Poisson probability as follows

Let the probability of suffering a side effect from a certain flu vaccine be p

we have n = 1000 and p = 0.005

then by binomial theorem μ = 1000*0.005 = 5

using Poisson probability formula, we have $P(X=k) =\frac{\lambda ^k e^{-\lambda}}{k!}$

where λ = μ

for P(X=0) we have $\frac{5^0e^{-5}}{0!} =$ 6.73×10⁻³

P(X=1) we have $\frac{5^1e^{-5}}{1!} =$ 3.37×10⁻²

Using the addition rule, we have

P (X≤1) = P(X=0) + P(X=1) = 6.73×10⁻³ + 3.37×10⁻² = 4.043×10⁻²

b) Similarly, we have for k = 4, 5, 6 we have

P(X=4) we have $\frac{5^4e^{-5}}{4!} =$ 0.1755

P(X=5) we have $\frac{5^5e^{-5}}{5!} =$ 0.1755

P(X=6) we have $\frac{5^6e^{-5}}{6!} =$ 0.14622

Therefore P(X=4) or P(X=5), P(X=6) is given by

0.1755 + 0.17546 + 0.14622 = 0.49716

4 0

3 years ago

India is the second most populous country in the world, with a population of over 1 billion people. Although the government has

aev [14]

Answer:

a) $P(X$

b) $P(X \geq 5)=P(X=5) +P(X=6) +P(X=7) +P(X=8)= 0.13+0.15+0.10+0.04=0.42$

c) $P(2 \leq X \leq 5)=P(x=2) +P(X=3) +P(X=4)+P(X=5)=0.12+0.18+0.24+0.13=0.67$

Step-by-step explanation:

For this case we have the following probability distribution function:

X P(X)

1 0.04

2 0.12

3 0.18

4 0.24

5 0.13

6 0.15

7 0.10

8 0.04

___________

Total 1.00

Part a

For this case we want this probability:

$P(X$

Part b

What is the probability that there are 5 or more members in a typical household in India? (Round your answer to 2 decimal places.)

For this case we want this probability:

$P(X \geq 5)=P(X=5) +P(X=6) +P(X=7) +P(X=8)= 0.13+0.15+0.10+0.04=0.42$

Part c

What is the probability that the number of members in a typical household in India is strictly between 2 and 5? (Round your answer to 2 decimal places.)

We want this probability:

$P(2 \leq X \leq 5)=P(x=2) +P(X=3) +P(X=4)+P(X=5)=0.12+0.18+0.24+0.13=0.67$

7 0

3 years ago

Is every multiple of 5 a composite number

WITCHER [35]

Yep! Because it is always a pattern of 0 to 5

3 0

3 years ago

Find the solutions of the following equations by extracting square roots 9x2-16=0 (z-2)2-36=0

natta225 [31]

The solutions of the equation $9x$ ² - 16 = 0is 4/3 and -4/3 and that of the equation $(z - 2)^{2} - 36 = 0$ is 8 and -4.

Solving the both quadratic equations by extracting square roots:

$9x^{2} - 16 = 0$

⇒ $9x^{2} = 16$

∴ On taking square-root of both sides, we get

$\sqrt{9x^{2} }$ = $\sqrt{16}$

⇒ $3x =$ $+4$ and $3x = -4$

⇒ $x$ = 4/3 and $x$ = -4/3

For the equation, $(z - 2)^{2} - 36 = 0$ , the solution is:

$(z - 2)^{2} - 36 = 0$

⇒ $(z - 2)^{2} = 36$

∴ On taking square-root of both sides, we get

$\sqrt{(z - 2)^{2} } = \sqrt{36}$

⇒ (z - 2) = 6 and (z - 2) = -6

⇒ z = 6 +2 and z = -6 + 2

⇒ z = 8 and z = -4

The solution of the equation $9x^{2} - 16 = 0$ is 4/3 and -4/3.

The solution of the equation $(z - 2)^{2} - 36 = 0$ is 8 and -4.

For similar equation, visit here:

brainly.com/question/18397338

#SPJ4

7 0

2 years ago

Sally baked bran recipe it calls 5lbs of sugar and 20lbs of dried beans how many pounds of sugar needed for just 1 lbs of dried

Yakvenalex [24]

Sally will need 1/4 pound of sugar for 1 pound of dried beans

3 0

4 years ago