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3 years ago

8

What’s the Domain and Range?

1 answer:

masya89 [10]3 years ago

3 0

Answer: domain: x>-3

range: y > -1

Step-by-step explanation:

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What is 1/6+1/2 in its simplest form?

Salsk061 [2.6K]

1/2. 1/6
1/2×3=3/6
3/6+1/6=4/6
4/6=2/3

2/3

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3 years ago

Read 2 more answers

Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ?

DENIUS [597]

Answer:

I THINK its the last one (8 root 10 to the power of 3x)

Step-by-step explanation:

A square root is the same thing as raising something to the 1/2. So the expression we have is (10^1/2)^3/4x.

Due to exponent rules we can multiply to get

10^3/8x which is the same thing as 10^3x/8

The 8 goes to the root and the 3x becomes the exponent

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3 years ago

Estimate of 26% of 259

artcher [175]

Answer:

i need help on this to

Step-by-step explanation:

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3 years ago

Largeat to smallest 1/4 2/9 4/12

Tresset [83]

2/9 then 1/4 and then 4/12

8 0

3 years ago

Fast Food and Gas Stations Forty percent of all Americans who travel by car look for gas stations and food outlets that are clos

Andrei [34K]

Answer:

a

mean $\mu = 10$ variance $\sigma^2 = 6$

b

The binomial random variable x fall into this interval ranges from

- 5 to 5

c

$P(6 \le x \le 14) = 0.8969$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The percentage that look for gas stations and food outlets that are close to or visible from the highway is $p = 0.40$

Generally the mean is mathematically represented as

$\mu = n * p$

=> $\mu = 0.40 * 25$

=> $\mu = 10$

The variance is mathematically represented as

$\sigma^2 = np(1- p )$

=> $\sigma^2 = 25 * 0.40(1- 0.40 )$

=> $\sigma^2 = 6$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{6}$

$\sigma = 2.45$

The interval is evaluated as

$p\pm 2 \sigma$

=> $p - 2 \sigma\ \ \ , \ \ \ p + 2\sigma$

=> $0.40 - 2 *2.45\ \ \ , \ \ \ 0.40 + 2* 2.45$

=> $-4.5\ \ \ , \ \ \ 5.3$

The binomial random variable x fall into this interval ranges from

- 5 to 5

Generally

$P(6 \le x \le 14) = P(\frac{ x - \mu }{\sigma } \le \frac{14 - 10}{{2.45}} ]-P[ \frac{ x - \mu }{\sigma } \le \frac{6 - 10}{2.45 } ]$

$P(6 \le x \le 14) = P(Z \le 1.63 ]-P[ Z \le -1.63 ]$

$P(6 \le x \le 14) = [1- P(Z > 1.63 ]] -[1- P[ Z > -1.63 ]]$

From the z-table

$P(Z > 1.63 ) = 0.051551$

And

$P(Z >- 1.63 ) =0.94845$

=> $P(6 \le x \le 14) = [1-0.051551] -[1-0.94845]$

=> $P(6 \le x \le 14) = 0.8969$

7 0

3 years ago