Solve the equation <br> 3m=2(4+t) for t

Guest ages at a ski mountain resort typically have a right-skewed distribution. Assume the standard deviation (σ) of age is 14.5

ValentinkaMS [17]

Answer: (30.49 years, 42.31 years)

Step-by-step explanation:

The formula to find the confidence interval is given by :-

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}.$

, where $\overline{x}$ = Sample mean

z* = Critical value.

$\sigma$ = Population standard deviation.

n= Sample size.

As per given , we have

$\overline{x}=36.4$

$\sigma=14.5$

n= 40

We know that the critical value for 99% confidence interval : z* = 2.576 (By z-table)

A 99 percent confidence interval for µ, the true mean age of guests will be :

$36.4\pm (2.576)\dfrac{14.5}{\sqrt{40}}\\\\ 36.4\pm (2.576)2.29265130362\\\\=36.4\pm5.90586975813\\\\\approx36.4\pm5.91\\\\=(36.4-5.91,\ 36.4+5.91)\\\\=(30.49,\ 42.31)$

∴ a 99 percent confidence interval for µ, the true mean age of guests = (30.49 years, 42.31 years)

7 0

3 years ago

If Dante spins the spinner below 75 times, how many times should he expect it to land on "U"?

Fed [463]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; So, I will solve making assumptions

$Spinner = 10\ segments$

$U = 1$

$n=75$

Required

Number of times to land on U

First, calculate the theoretical probability of U

$Pr(U) = \frac{U}{Spinner}$

$Pr(U) = \frac{1}{10}$

The expected number (E) of time to land on U is then calculated as:

$E = Pr(U) * n$

$E = \frac{1}{10} * 75$

$E = 0.10 * 75$

$E = 7.5$

Approximate

$E = 8$

<em>8 times</em>

<em>Follow the above steps, and you will arrive at your answer</em>

3 0

2 years ago

the width of a piece of rectangular land is 5m shorter rhan 1/3 of its length .find the width of the land if the length is 60m,1

aniked [119]

Answer:

If width = 60 m, length = 195 m.

If width = 150 m, length = 465 m.

Step-by-step explanation:

The area of a rectangle is l * w or length times width.

So we can set an equation (letting w = width and x = length)

w = $1/3x - 5$

Part 1: width = 60m:

60 = $1/3x - 5$

65 = $1/3x$

x = 195 m

Part 2: width = 150 m:

150 = $1/3x - 5$

155 = $1/3x$

x = 465 m

6 0

2 years ago

The population of California is approximately 38,040,000. The population of Texas is approximately 26.06 x 10^6 . The population

Salsk061 [2.6K]

Answer:

this is it

Step-by-step explanation:

The population of California is approximately 38,040,000. The population of Texas is approximately 26.06 x 106 . The population of New York State is approximately 1.96 x 107

38,040,000 = 3.804 x 107

26.06 x 106 = 2.606 x 107

Which state has the highest approximate population? Show work and/or Explain.

NY: 1.96 x 107 = 19,600,000

TX: 2.606 x 107 = 26,060,000

CA: 3.804 x 107 = 38,040,000

California has the highest approximate population.

Find the sum of the approximate population of California and New York State.

(3.804 x 107) + (1.96 x 107) = (3.804 +1.96) x 107 = 5.764 x 107

Find the difference in the approximate population of Texas and New York State.

(2.606 x 107) - (1.96 x 107) = 0.646 x 107 = 6.46 x 106

3 0

3 years ago

Explain how to make a precise graph of y = -2x + 3 without making a T-Table.

kifflom [539]

Answer:

x 2 + 5 x + 6

Step-by-step explanation:

y = m x + c

y- intercept

x = 0

y = (-2) (0) + 3

=3

(x =0, y = 3)

<h3>slope -2 </h3><h3>y = -1 x + 3</h3>

8 0

3 years ago

Solve the equation 3m=2(4+t) for t