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sladkih [1.3K]
3 years ago
13

Simply the imaginary number square root -45

Mathematics
1 answer:
Paraphin [41]3 years ago
6 0

Answer:

3i\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

and \sqrt{-1} = i

Given

\sqrt{-45}

= \sqrt{9(5)(-1)}

= \sqrt{9} × \sqrt{5} × \sqrt{-1}

= 3 × \sqrt{5} × i

= 3i\sqrt{5}

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Will a large-sample confidence interval be valid if the population from which the sample is taken is not normally distributed? e
Dovator [93]

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

<h3>What is meant by normal distribution?</h3>

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

<h3>What does a large sample confidence interval for  a population mean?</h3>

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

To learn more about normal distribution, refer to:

brainly.com/question/23418254

#SPJ4

8 0
1 year ago
a car uses 9.5 L petrol per 100km a) determine the rate in km/L b) how far can the car travel with 47,5L petrol c) how many litr
Lana71 [14]

Step-by-step explanation:

a) determine the rate in km/L

==> 9.5 L/100km = 10.526316 km/L

b) how far can the car travel with 475L petrol

==> 0.210526315789473km/l

c) how many litres of petrol do they need to travel 350 km

==>Liters per km (l/km)2.86×10-3

Liters per 10 km (l/10 km)0.03

Liters per 100 km (l/100km)0.29

Kilometer per liter (km/l)350

6 0
2 years ago
Does anyone know what to fill in?
riadik2000 [5.3K]

Answer:

$36.69

Step-by-step explanation:

Okay, so let's first write the equation:

2.59*10 + 3d = 135.97

Now, let's work on isolating d by first simplifying the equation:

25.9 + 3d = 135.97

25.9 + 3d - 25.9 = 135.97 - 25.9

3d = 110.07

3d/3 = 110.07/3

d = 36.69

Okay, now let's check:

2.59*10 + 3*36.69  = 135.97

25.9 + 110.07 = 135.97

135.97 = 135.97

Okay, so so it costs $36.69 per pair of shoe.

4 0
2 years ago
The length of a side of a square is √7 cm. What is the perimeter of the square? (Perimeter = the distance around the outside of
Sonja [21]
Since the square has 4 sides, you only have to add \sqrt{7} four times.

The <span>perimeter of the square is: </span><span>4 \cdot \sqrt{7} = 10.6 cm </span>
4 0
3 years ago
Read 2 more answers
Write the integer that best represents 23 degrees below zero
snow_tiger [21]
The integer would be -23
5 0
3 years ago
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