What is the difference between the 7th square number and the 4th square number?

In a random sample of 5 residents of the state of Texas, the mean waste recycled per person per day was 1.9 pounds with a standa

sammy [17]

<h2>Answer with explanation:</h2><h2 />

The confidence interval for population mean is given by :-

$\overline{x} \pm\ t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.

Sample mean : $\overline{x}=1.9\text{ pounds}$

Standard deviation: $\sigma=0.89\text{ pounds}$

Significance level : $1-\alpha:1-0.99=0.01$

By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

$t_{n-1,\alpha/2}=t_{5-1,0.01/2}=t_{4,0.005}=4.604$

Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-

$1.9\pm\ (4.604)\dfrac{0.89}{\sqrt{5}}\\\\\approx1.9\pm1.832\\\\=(1.9-1.832,1.9+1.832)=(0.068,\ 3.732)$

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)

5 0

3 years ago

a path that is 7/8 of a mile long is divided into sections that are two sixteenth of a mile long how many sections are created?

docker41 [41]

Answer:

There are going to be 7 sections in the path

Step-by-step explanation:

First Step:

Simplify 2/16 in 1/8

Second Step:

Since the path is 7/8 of a mile long, and the sections are 1/8 of a mile long. There will be 7 sections because 1/8 will go into 7/8 7 times.

6 0

2 years ago

What is the solution to log Subscript 5 Baseline (10 x minus 1) = log Subscript 5 Baseline (9 x + 7)

zimovet [89]

Answer:

x = 8

Step-by-step explanation:

<u>Given:</u>

log₅ (10x - 1) = log₅ (9x + 7)
10x - 1 = 9x + 7
10x - 9x = 7 + 1
x = 8

4 0

2 years ago

Read 2 more answers

You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represent

horsena [70]

Answer:

$Area = 112.5$

Step-by-step explanation:

Given

$X = (15,20)$

$Y = (15,5)$

$Z = (0,5)$

Required

Determine the area of the triangle

The area is calculated using the following formula:

$Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|$

Where

$(X_x,X_y) = (15,20)$

$(Y_x,Y_y) = (15,5)$

$(Z_x,Z_y)= (0,5)$

Substitute right values in the given formula:

$Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|$

$Area = |\frac{15(0) + 15(15) + 0(15)}{2}|$

$Area = |\frac{0 + 225 + 0}{2}|$

$Area = |\frac{225}{2}|$

$Area = |112.5|$

$Area = 112.5$

<em>Hence, the area of the triangle is 112.5</em>

8 0

2 years ago

X=4y-2<br> plz help solve the equation for y <br> thank you so much

Fofino [41]

Answer: $y= \frac{1}{4}x+\frac{1}{2}$

4 0

3 years ago

What is the difference between the 7th square number and the 4th square number?​

What is the difference between the 7th square number and the 4th square number?