All categories

3 years ago

Express in terms i root of -40

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

5 0

Answer:

6.32455532i

Step-by-step explanation:

Use the square root calculator too find it

You might be interested in

Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes bel

Ann [662]

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.7709

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93$

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

$M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88$

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

$M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02$

The margin of error for a 90% confidence interval when n = 45 is 10.02.

3 0

3 years ago

Veronika [31]

Answer:

Step-by-step explanation:

y= 1/2 ^(x+4)

7 0

2 years ago

Infants who weigh less than 2,500 grams (5 1/2 pounds) at birth are called

Whitepunk [10]

Low-birthweight i believe.

8 0

3 years ago

Trucks are delivering gravel to a construction site each truck hold 7.5 cubic yards of gravel. The weight of 1 cubic yard of gra

Romashka-Z-Leto [24]

The first thing you must do is to calculate the weight of the gravel (w) that the truck holds (7.5 yards³). So, you have:

If the weight of 1 yard³ is 1.48 tons, then the weight of 7.5 yards³ is:

w=7.5x1.48 tons
w=11.1 tons

The problem says that the gravel will be placed in containers that each hold 3.7 tons of gravel,so, If they need 1 cotainer to place 3.7 tons, how many containers they need to place 11.1 tons?

1 container-------3.7 tons of gravel
x-------11.1 tons of gravel

x=(11.1x1)/3.7
x=11.1/3.7
x=3 containers

H<span>ow many containers of this size are needed to hold all the gravel from one truck?
</span>
The answer is: 3 containers.

7 0

4 years ago

A jar has 15 pink gumballs, 22 green gumballs, 19 red gumballs, and 19 yellow gumballs. Which colored gumball has the greatest p

Phoenix [80]

Answer:

green

Step-by-step explanation:

the one with the most gumballs compared to the other colors is the most likely

7 0

3 years ago

Read 2 more answers