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3 years ago

Figure A a scale image of figure B figure a measures to figure be on a scale factor of 2/3 what is the value of x

Mathematics

1 answer:

7nadin3 [17]3 years ago

5 0

Answer:

x = 15.75

Step-by-step explanation:

10.5 is $\frac{2}{3}$ of x, that is

x = $\frac{3}{2}$ × 10.5 = 1.5 × 10.5 = 15.75

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A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years

juin [17]

Answer: 0.55567

Step-by-step explanation:

Given : A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years. The useful lives of these refrigerators are independent.

i.e.

$\mu=10\text{ years}\\\sigma=3\text{ years}$

Let $X_1$ and $X_2$ are two randomly selected refrigerator's life whose sum will exceed third selected refrigerator $X_3$ .

So that, $X =X_1+X_2-1.9\times X_3$

Mean $=E(X_1)+E(X_2)-E(X_3)=10+10-1.9\times10 =1$

Standard deviation = $\sqrt{(Var(X_1)+Var(X_1)+Var(X_1))}$

$=\sqrt{(3^2+3^2+(1.9\times3)^2)}$

$=7.1056315694$

Z-score : $z=\dfrac{X-E[x]}{\sqrt{Var[x]}}=\dfrac{0-1}{7.0156315694}\approx-0.14$

Now , The probability that the total useful life of two(i..e n=2) randomly selected refrigerators will exceed 1.9 times the useful life of a third randomly selected refrigerator would be :-

$P(Z>-0.14)=P(Z$

Hence, the required probability is 0.55567.

3 0

2 years ago

What number should both sides of the equation be multiplied by to solve for x?x/4.5 = 6

fiasKO [112]

Answer:

multiply by 4.5 to get x = 27

Step-by-step explanation:

Both sides should be multiplied by 4.5

x / 4.5 = 6

x = 27

4 0

3 years ago

Pleaseee helpp whoever answers best ill give them brainliest xx

ioda

Answer:

uh what's the question- there needs to be a question to be an answer >.< i'll edit this answer once you tell me the question

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Help please help please

ANTONII [103]

Answer is C. 22

if you subtract 15 by 10, you get 5. so you can also subtract 27 by 5 and get 22

7 0

3 years ago

Read 2 more answers

Which function below is the inverse of f(x) = x2 − 16?

slega [8]

$f(x) = x^{2} - 16$
$y = x^{2} - 16$
$x = y^{2} - 16$
$x + 16 = y^{2}$
$\±\sqrt{x + 16} = \sqrt{y^{2}}$
$\±\sqrt{x + 16} = y$
$\±\sqrt{x + 16} = f^{-1}(x)$

4 0

3 years ago

Figure A a scale image of figure B figure a measures to figure be on a scale factor of 2/3 what is the value of x​

Figure A a scale image of figure B figure a measures to figure be on a scale factor of 2/3 what is the value of x