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2 years ago

ASAP please help me I need this quick The question and answers are in the picture

Mathematics

2 answers:

kati45 [8]2 years ago

3 0

Answer:

Step-by-step explanation:

Lady_Fox [76]2 years ago

3 0

Answer:

√5

Step-by-step explanation:

Pythagorean theorem:

a² + b² = c²

1² + 2² = x²

1 + 4 = x²

5 = x²

√5 = x

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Solve the equation by completing the square and then solving for x. 1. x^2-6x=12 2. 2x^2-24x=-20

Paraphin [41]

Answer: (x - 3)² = 21

Step-by-step explanation:

x² - 6x + ____ = 12 + ____

↓ ↑ ↑

$\frac{-6}{2} = (-3)^{2}$

x² - 6x + 9 = 12 + 9

(x - 3)² = 21

*******************************************************

Answer: (x - 6)² = 26

Step-by-step explanation:

2x² - 24x = -20

÷2 ÷2 ÷2

x² - 12x = -10

x² - 12x + ____ = -10 + ____

↓ ↑ ↑

$\frac{-12}{2} = (-6)^{2}$

x² - 12x + 36 = -10 + 36

(x - 6)² = 26

8 0

2 years ago

8:2 in its simplest form

VMariaS [17]

Answer:

4:1

Step-by-step explanation:

just divide by 2

4 0

2 years ago

Find the volume of the given prism. Round to the nearest tenth if necessary.

alex41 [277]

Answer:

17m³

Step-by-step explanation:

==>Given:

Prism with right triangular base with the following dimensions:

Height = 17m

Base area = area of the right triangle = ½×2×1 = 1m²

==>Required:

Volume of prism

==>Solution:

Volume of prism = Base area × height of prism

Volume of prism = 1m² × 17m

Volume = 17m³

3 0

2 years ago

Help please and thank you

stiks02 [169]

First, we can see that there are four sides, and none of these equation contradict each other, so it is safe to say that this is a quadrilateral.

Second, all of the equations have the slope of 0 or undefined, so it is a rectangle.

Lastly, the four points of intersection shows us that the side lengths are 3 and 5 units, so the area of it is 15 units².

7 0

3 years ago

Read 2 more answers

Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

6 0

2 years ago