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2 years ago

When solving negative one over five(x − 25) = 7, what is the correct sequence of operations?

Mathematics

1 answer:

Rufina [12.5K]2 years ago

7 0

Add 25 to both sides x-25 +25 =7 +25
x =32

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Sophia exchanged 1,000 US dollars for the south African currency. the exchange rate was 7.15 rand to $1.00.

mel-nik [20]

1 / 7.15 = 1000 / x......$ 1 to 7.15 rand = $ 1000 to x rand
cross multiply because this is a proportion
(1)(x) = (7.15)(1000)
x = 7150 <=== Sophia got 7150 rand

5 0

2 years ago

If f(x) = 2x² – 2. what is f(-6)? If -78 30 18 0 78 PLS HELP

blondinia [14]

Answer:

Step-by-step explanation:

Substitute x with -6:

2(-6)²-2

2(36)-2

72-2

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1 year ago

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The weight of an adult swan is normally distributed with a mean of 26 pounds and a standard deviation of 7.2 pounds. A farmer ra

Snezhnost [94]

Let $X$ denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by $X_1,\ldots,X_{36}$ , each independently and identically distributed with distribution $X_i\sim\mathcal N(26,7.2)$ .

You want to find

$\mathbb P(X_1+\cdots+X_{36}>1000)=\mathbb P\left(\displaystyle\sum_{i=1}^{36}X_i>1000\right)$

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

$\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)$

Recall that if $X\sim\mathcal N(\mu,\sigma)$ , then the sampling distribution $\overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right)$ with $n$ being the size of the sample.

Transforming to the standard normal distribution, you have

$Z=\dfrac{\overline X-\mu_{\overline X}}{\sigma_{\overline X}}=\sqrt n\dfrac{\overline X-\mu}{\sigma}$

so that in this case,

$Z=6\dfrac{\overline X-26}{7.2}$

and the probability is equivalent to

$\mathbb P\left(\overline X>\dfrac{1000}{36}\right)=\mathbb P\left(6\dfrac{\overline X-26}{7.2}>6\dfrac{\frac{1000}{36}-26}{7.2}\right)$
$=\mathbb P(Z>1.481)\approx0.0693$

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2 years ago

At the electronics store, television screens are sized by the lengths of their diagonals. The television that Ms. Duckworth want

Inessa05 [86]

Answer:

55.8

Step-by-step explanation:

44 ^ 2 = 1936

b ^ 2 = 55 .8 ^ 2

51 ^ 2 = 2601

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2 years ago

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faltersainse [42]

The answer to this is 19. The reason why is because the median falls between 18 and 20. After that, you have to take the middle number that falls between 18 and 20. In this case, 19.

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