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SIZIF [17.4K]
4 years ago
9

Plz help. i need an answer ASAP

Mathematics
1 answer:
lidiya [134]4 years ago
5 0
Take the coordinates on each line and find their related slopes:

Slope formula m= (y₂-y₁)/(x₂-x₁)

1st . The two given coordinates of the LOWER line are: (-1,-1) and (1,-2)
them m = (-2+1)/1+1)  = -2/2 = -1

2nd. The two given coordinates of the HIGHER line are: (-1,2) and (1,1)
them m = (1-2)/(1+1)  = -1/2

3rd. The two given coordinates of the SECANTE are: (1,0) and (2,2)
them m = (2-0)/(2-1)  = 2/1 = 1

We notice that the 1st line has m = -1 and the 3rd (secant), m = 1, then only the 1st line and the secant are perpendicular because the product of their slope is equal - 1 (this is the condition to have perpendicular lines)

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Answer:

iiiiiiiiiiiiiiiiiiiiiiii believe its 8

Step-by-step explanation:

4 0
3 years ago
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A number is chosen at random from 1 to 50. Find the probability of not selecting a multiple of 2.
r-ruslan [8.4K]

Lets look at the number of numbers between 1 and 50 which is not a multiple of 2.  Its 1, 3, 5 ........... 47, 49.

That is 25 numbers.

So the required probability is 25/50 = 1/2 Answer


4 0
4 years ago
A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
Simplify |19-(-6)|<br> The distance between-6 and 19 is ___
KengaRu [80]
25
19-(-6) means 19+6
Have a good one
8 0
3 years ago
What is the answer answer and plz give me step by step explaining
Tamiku [17]

Answer:

x = 5

Step-by-step explanation:

6 + 8(x - 1) = 2(3x + 4)

We evaluate the numbers in the brackets first.

(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)

6 + 8x - 8 = 6x + 8

The left hand side of the equation is not exactly simplified, so we will evaluate it further first.

(6 - 8 = -2)

8x - 2 = 6x + 8

Now we can start shifting the x and the numbers separately.

Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.

8x - 6x = 8 + 2

Further evaluation

2x = 10

Now we can simply find x.

Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.

x = 10 ÷ 2

Evaluate.

x = 5

3 0
3 years ago
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