All categories

3 years ago

Question

Mathematics

1 answer:

liubo4ka [24]3 years ago

5 0

Answer:

(3,1) (3,-1) (-3,1) (-3,-1)

Step-by-step explanation:

You might be interested in

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.954 grams and a standard devia

olga_2 [115]

Let X be the random variable representing the amount (in grams) of nicotine contained in a randomly chosen cigarette.

P(X ≤ 0.37) = P((X - 0.954)/0.292 ≤ (0.37 - 0.954)/0.292) = P(Z ≤ -2)

where Z follows the standard normal distribution with mean 0 and standard deviation 1. (We just transform X to Z using the rule Z = (X - mean(X))/sd(X).)

Given the required precision for this probability, you should consult a calculator or appropriate z-score table. You would find that

P(Z ≤ -2) ≈ 0.0228

You can also estimate this probabilty using the empirical or 68-95-99.7 rule, which says that approximately 95% of any normal distribution lies within 2 standard deviations of the mean. This is to say,

P(-2 ≤ Z ≤ 2) ≈ 0.95

which means

P(Z ≤ -2 or Z ≥ 2) ≈ 1 - 0.95 = 0.05

The normal distribution is symmetric, so this means

P(Z ≤ -2) ≈ 1/2 × 0.05 = 0.025

which is indeed pretty close to what we found earlier.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B98%7D%20" id="TexFormula1" title=" \sqrt[4]{98} " alt=" \sqrt[4]{98} " ali

allsm [11]

In decimal form it’s 3.146

4 0

3 years ago

Albania is an Eastern European country that uses a currency called the Albanian Lek (ALL). Right now, $1 (1 USD) exchanges for 1

rosijanka [135]

Answer:

$9398.50

Step-by-step explanation:

Given

$\$1 = 106.40\ ALL$

Required

Equivalent of 1,000,000 ALL

We have:

$\$1 = 106.40\ ALL$

and

$\$x = 1000000\ ALL$

Cross Multiply

$x * 106.40 = 1 * 1000000$

$106.40x = 1000000$

Solve for x

$x = 1000000/106.4$

$x = \$9398.50$ -- Approximated

4 0

4 years ago

You got to find the surface area

vladimir1956 [14]

Answer:

156 sq. units

Step-by-step explanation:

divide the prism into 2D shapes using the net. Then, use the numbers to find the length and width. Multiply the length and width of each 2D shape. Finally, add all the numbers you got to get the sum of 156 sq. units.

7 0

3 years ago

1. What is a perfect square? 2. What is the square root of 4x²? 3. What is the square root of 25? 4. Factor 4x² + 20x + 25.

Ulleksa [173]

Answer:

Step-by-step explanation:

1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are

4(2 × 2)

9(3 × 3)

16(4 × 4)

25(5 × 5)

36(6 × 6)

2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)

3) square of 25 is 5

4) 4x² + 20x + 25

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 4

b = 20

c = 25

Therefore,

x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4

x = [- 20 ± √(400 - 400)]/8

x = [- 20 ± 0]/8

x = - 20/8

x = - 2.5

3 0

3 years ago