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3 years ago

What are the solution(s) to the quadratic equation 40 – x2 = 0?

Mathematics

2 answers:

erik [133]3 years ago

7 0

Answer:

The answer is 2 root 10.

hope it helps..

Papessa [141]3 years ago

4 0

Answer:

x = ±2 $\sqrt{10}$ .

Step-by-step explanation:

40 - x^2 = 0

Subtract 40 from both sides

-x^2 = -40

Divide both sides by -1

x^2 = 40

Find the square root of both sides

x = ± $\sqrt{40}$

x = ± $\sqrt{2 * 2 * 2 * 5}$

x = ± $\sqrt{2^2 * 2 * 5}$

x = ±2 $\sqrt{2 * 5}$

x = ±2 $\sqrt{10}$

Hope this helps!

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A parking lot has ten parking spaces. There are the same number of cars parked in the parking lot as there are empty parking spa

Karolina [17]

Answer:

0.5

Step-by-step explanation:

Total space in the parking lot = 10

number of cars parked = p

number of empty parking spaces = e

There are the same number of cars parked in the parking lot as there are empty parking spaces.

This means,

Number of parked cars = number of empty parking spaces

p = e

If the number of parked cars and number of empty parking spaces = 10

p + e = 10

If p = 5

Then,

p + e = 10

5 + 5 = 10

Write a decimal to show the part of the parking lot that has empty parking spaces.

Empty parking space/total parking space

= 5/10

= 1/2

= 0.5

part of the parking lot that has empty parking spaces = 0.5

8 0

3 years ago

Keisha makes a large sandwich for family picnic. She takes 1/2 of the sandwich to the picnic. At the picnic, her family eats 3/8

Mumz [18]

Keisha brings back 1/8th of the sandwich

5 0

3 years ago

HELP. WILL MARK BRAINLIEST

gladu [14]

4y+5=4y-6 doesn't have a solution because you need to subtract 4y from both sides so you do 4y+5-4y=4y-6-4y so 5= -6 and then you subtract 5 from both sides which is 5-5=-6-5 and 0=-11.

8 0

4 years ago

Read 2 more answers

Enter an equation in point-slope form for the line.

Klio2033 [76]

Answer:

y + 1 = 8 (x + 7)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

So replace the y1 with the y point, and the x1 with the x point

y - (-1) = m (x - (-7) )

then replace the m with the slope

y - (-1) = 8 (x - (-7) )

now solve

y + 1 = 8 (x + 7)

5 0

3 years ago

It is known that IQ scores form a normal distribution with a mean of 100 and a standard deviation of 15. If a researcher obtains

sdas [7]

Answer:

$X \sim N(100,15)$

Where $\mu=100$ and $\sigma=15$

We select a sample of n=16 and we are interested on the distribution of $\bar X$ , since the distribution for X is normal then we can conclude that the distribution for $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

Because by definition:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$E(\bar X) = \mu$

$Var(\bar X) = \frac{\sigma^2}{n}$

And for this case we have this:

$\mu_{\bar X}= \mu = 100$

$\sigma_{\bar X} = \frac{15}{\sqrt{16}}= 3.75$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(100,15)$

Where $\mu=100$ and $\sigma=15$

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

Because by definition:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$E(\bar X) = \mu$

$Var(\bar X) = \frac{\sigma^2}{n}$

And for this case we have this:

$\mu_{\bar X}= \mu = 100$

$\sigma_{\bar X} = \frac{15}{\sqrt{16}}= 3.75$

6 0

3 years ago