Suppose a is an irrational number and b/c is a rational number. Can their sum be rational? Explain your

Trey is putting up a fence around a 750 foot by 540 foot lot. How many feet of fence dose he need?

anygoal [31]

Given:

The length of the lot l= 750ft

The width of the plot w= 540 ft

Required:

Find the required fence.

Explanation:

The perimeter of the rectangle is given by the formula.

$P=2(length+width)$

Thus the required fence for the lot

$\begin{gathered} =2(750+540) \\ =2(1290) \\ =2580\text{ ft} \end{gathered}$

Final answer:

The required fence is 2580 ft.

6 0

5 months ago

Answer the following question.

Ivenika [448]

Answer:

6

Step-by-step explanation:

Step 1: equal any two of the three equations together

2x + 3 = 3x - 9

Step 2: isolate the variable

3 = x - 9

6 = x

5 0

3 years ago

Read 2 more answers

A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.

nika2105 [10]

Answer:

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

$\bar X=2.55$ represent the sample mean for the late time for a flight

$\mu$ population mean

$\sigma=12$ represent the population deviation

n=76 represent the sample size

Confidence interval

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

The confidence interval for the true mean is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The Confidence level given is 0.95 or 95%, th significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ . If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got $z_{\alpha/2}=1.96$

Replacing we got:

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

7 0

2 years ago

A banks loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviati

Alona [7]

Answer:

2.87%

Step-by-step explanation:

We have the following information:

mean (m) = 200

standard deviation (sd) = 50

sample size = n = 40

the probability that their mean is above 21.5 is determined as follows:

P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]

P (x> 21.5) = P (z> -22.57)

this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:

P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]

P (x> 215) = P (z> 1.897)

P (x> 215) = 1 - P (z <1.897)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) =.0287

Therefore the probability is approximately 2.87%

4 0

3 years ago

For this graph mark the statements that are true

Nitella [24]

For the graph in the figure

we know that

the function is a quadratic equation ( vertical parabola) open up

so

The vertex is a minimum

the vertex is the point $(1,0)$

The domain x of the function is all real numbers-------> (-∞,∞)

The range is the interval--------> [0,∞)

$f(x)\geq 0$

therefore

Statements

A) The range is the set of all real numbers

Is false

B) The domain is the set of all real numbers

Is true

C) The domain is the set of all real numbers greater than or equal to zero

Is false

D) The range is the set of all real numbers greater than or equal to zero

Is true

7 0

2 years ago