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4 years ago

Which expression will have the same sum as 3/8+ 1/4

Mathematics

1 answer:

swat324 years ago

8 0

5/8

You have to find the common denominator.The common denominator is 8. So multiple by 2, 1*2/4*2 Which equals 2/8. Now add 3/8+2/8 and it equals 5/8

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A population is normally distributed with a standard deviation of 2.8. A random sample is obtained from this population and the

Brut [27]

Answer:

The 95% confidence interval for the mean of this population is between 12.39 and 16.05.

The 99% confidence interval for the mean of this population is between 11.82 and 16.62.

Step-by-step explanation:

The first step is finding the mean of the sample:

There are 9 observations. So

$\mu_{x} = \frac{8+9+10+13+14+16+17+20+21}{9} = 14.22$

95% confidence interval:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{2.8}{\sqrt{9}} = 1.83$

The lower end of the interval is the sample mean subtracted by M. So it is 14.22 - 1.83 = 12.39

The upper end of the interval is the sample mean added to M. So it is 14.22 + 1.83 = 16.05

The 95% confidence interval for the mean of this population is between 12.39 and 16.05.

99% confidence interval:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.575*\frac{2.8}{\sqrt{9}} = 2.40$

The lower end of the interval is the sample mean subtracted by M. So it is 14.22 - 2.40 = 11.82

The upper end of the interval is the sample mean added to M. So it is 14.22 + 2.40 = 16.62

The 99% confidence interval for the mean of this population is between 11.82 and 16.62.

5 0

4 years ago

Give the name (monomial,<br> binomial, trinomial etc.) and<br> degree of the polynomial.<br> 15x2

kati45 [8]

ANSWER

Step-by-step explanation:

<h3>EXAMPLES</h3><h3>monomial:-20y</h3><h3>binomial:-25x+70y</h3><h3>trinomial:-13x+17y+√16</h3><h3>Degree of polynomial of 15x^2 is </h3>

DEGREE =2

6 0

3 years ago

In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively

worty [1.4K]

Answer: ABCD is a quadrilateral

To prove : ∠AOB=

(∠C+∠D)

AO and BO is bisector of A and B

∠1=∠2∠3=∠4...(1)

∠A+∠B+∠C+∠D=360

(Angle sum property)

(∠A+∠B+∠C+∠D)=180...(2)

In △AOB

∠1+∠3+∠5=

(∠A+∠B+∠C+∠D)

∠1+∠3+∠5=∠1+∠3+

(∠C+∠D)

∠AOB=

(∠C+∠D)

Explanation: In a quadrilateral ABCD. AO and BO are bisectors of angle A and angle B respectively. Prove that ∠AOB=

{∠C+∠D}.

3 0

3 years ago

Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a

Sladkaya [172]

The area of the unshaded region of the circle will be 120π units squared.

The area of a sector of a circle of radius r having an angle a° is given by:

Area of sector = (π* $r^{2}$ )*(a°/360°) units squared.

Given ∡KLM = 60°. The radius of the circle is 12 units.

⇒The area of shaded sector KLM = (π* $12^{2}$ )*(60°/360°) = π·144/6 = 24π sq. units.

The area of the unshaded region of the circle = (total area of the circle) - (the area of sector KLM) = (π* $12^{2}$ ) - 24π = 120π sq units.

∴ The area of the unshaded region of the circle is 120π units squared.

Learn more about area of sector here:

brainly.com/question/9406374

#SPJ10

<em>This question is incomplete. Find the missing figure below.</em>

8 0

2 years ago

Kevin has an after-school delivering advertising after 9 weeks he had earned a mean of $24 per week how much does he need to ear

solmaris [256]

Answer:

$34

Step-by-step explanation:

So he earns $24 per week (ima just say p/w to make it shorter) meaning he earned around $216 in total. To get to $25 p/w, you have to get $250 in total from the 10 weeks. So $250 - $216 = $34.

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

7 0

3 years ago