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3 years ago

4.5(8-x)+36=102-2.5(3x +24) with work step by step will give brainliest

Mathematics

1 answer:

Degger [83]3 years ago

6 0

1. ([4.5*8]-4.5x)+36=102+([-2.5*3x]+[24*-2.5])

2. 36-4.5x+36=102-7.5-60

3. -4.5x/-4.5=52.5/-4.5

4. x=-13.125

a: -13.125

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What should a size of a sample be in order to have a margin of error of 4% for a 90% confidence level from a population with a s

vagabundo [1.1K]

Answer:

We need a sample size of 2,071,800 or higher.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, we find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem:

We need a sample size of n or higher, when $M = 0.04, \sigma = 35$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.04 = 1.645*\frac{35}{\sqrt{n}}$

$0.04\sqrt{n} = 1.645*35$

$0.04\sqrt{n} = 57.575$

$\sqrt{n} = 1439.375$

$\sqrt{n}^{2} = (1439.375)^{2}$

$n = 2,071,800$

We need a sample size of 2,071,800 or higher.

6 0

3 years ago

A ball is thrown into the air. The height h, in feet, of the ball after x seconds is given by the function h = −16(x − 2)2 + 72.

Anon25 [30]

Answer:

A. -16x²+64x+8

B. 72 ft.

Step-by-step explanation: A. Expand the perfect square binomial -16(x²-4x+4)+72, dist. -16 (-16x²+64x-64+72), then combine like terms (-16x²+64x+8)

B. Find the abs. max. by looking back at the vertex form. The max is (2,72). Use the y-value for the height.

3 0

3 years ago

Helppppppppppppppppppppppppppppppp

tamaranim1 [39]

Answer:

a) 23 and 24

b) see step-by-step

c) 23.2

Step-by-step explanation:

a) find the greatest square number below 540?

find the smallest square number above 540?

23² = 529 and 24² = 576

529 < 540 < 576

⇒ √529 < √540 < √576

⇒ 23 < √540 < 24

Hence, √540 lies between 23 and 24

b) **I'm not sure how accurate they want this, so I've added several options**

√540 = 23.23790008...

23.23790008... - 23 = 0.2379000772...

0.2379000772... = 2,379,000,772 / 10,000,000,000

Therefore, √540 = 23 and 2,379,000,772 / 10,000,000,000

Or 23 and 2,379 / 10,000

Or 23 and 24/100 = 23 and 6/25

Or 23 and 2/10 = 23 and 1/5

c) (√540)² = 540

So we are looking for a number whose square is 540.

We know that √540 lies between 23 and 24 (from part a), so let's start with 23.5:

23.5² = 552.25

552.25 > 540 so try a smaller number

23.3² = 542.89

542.89 > 540 so try a smaller number

23.2² = 538.24

538.24 < 540

23.24² = 540.0976

540.0976 > 540

So √540 lies between 23.2 and 23.24, therefore, the decimal approximation is 23.2 to the nearest tenth place

3 0

3 years ago

5/4 to 3/8 <br> Fine the percent of change

GaryK [48]

7/8*8/3= 7/1* 1/3 = 7/3
do 7/3 in a calculator = 2.33 repeating
move the decimal two places to the right
and the percent change is a 233% increase

6 0

4 years ago

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Without using a calculator, evaluate 3675° - 3680 x 3670 by using special algebraic<br>identities.

asambeis [7]

Answer:

13,505,599 good luck

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3 years ago

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