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Yuri [45]
3 years ago
7

An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7,) what would be the coordinates

of this image
Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

(- 5, 1 )

Step-by-step explanation:

Given the translation rule

(x, y ) → (x - 2, y - 6 )

This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is

(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )

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A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b
nata0808 [166]

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

p = 0.1

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}

0.04\sqrt{n} = 0.588

\sqrt{n} = \frac{0.588}{0.04}

\sqrt{n} = 14.7

(\sqrt{n})^{2} = (14.7)^{2}

n = 216

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

7 0
3 years ago
Dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales. Verdadero o falso?
iren2701 [21]

Answer: verdadero.

Step-by-step explanation:

En geometría se dice que dos figuras son semejantes si tienen la misma forma pero no necesariamente el mismo tamaño.

Ahora, lo que define la forma de un triángulo son sus ángulos, entonces si dos triángulos tienen los mismos ángulos, estos triángulos van a tener la misma forma.

Y los lados siendo proporcionales entre ellos (recordar que una relación proporcional es y = k*x) habla de la relación entre los tamaños de los dos triángulos.

Entonces si, "dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales" es verdadero.

5 0
3 years ago
WILL GIVE BRAINLIEST
Nana76 [90]

I too also need this answer.

8 0
2 years ago
A pound of blueberries costs $3
Irina-Kira [14]

Answer:

$6.87

Step-by-step explanation:

For the blueberries we multiply 3.98 with .6 pounds to get 2.39

We do the same for the other item 2.49 X 1.8 = 4.48

Total the two for the answer:

2.39 + 4.48 = 6.87

3 0
3 years ago
The square of a number is equal to 17 times that number. What is the number?​
Alborosie

Answer:

17

Step-by-step explanation:

If you think about it, 17^{2} \\ is 17×17

Hope this helps!

8 0
2 years ago
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