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kirill [66]
3 years ago
10

What is 5.25 as an improper fraction?

Mathematics
2 answers:
algol [13]3 years ago
6 0
I got 21/4. I hope I helped you

Leviafan [203]3 years ago
4 0
I got 21/4  hope this helps
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9(m +5) - 3(m - 2) = 8m + 31
castortr0y [4]

Answer:

m=10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In an article regarding interracial dating and marriage recently appeared in a newspaper. Of 1719 randomly selected adults, 311
Bingel [31]

Answer:

Step-by-step explanation:

Hello!

The parameter of interest in this exercise is the population proportion of Asians that would welcome a person of other races in their family. Using the race of the welcomed one as categorizer we can define 3 variables:

X₁: Number of Asians that would welcome a white person into their families.

X₂: Number of Asians that would welcome a Latino person into their families.

X₃: Number of Asians that would welcome a black person into their families.

Now since we are working with the population that identifies as "Asians" the sample size will be: n= 251

Since the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the variable distribution to normal.

Z_{1-\alpha /2}= Z_{0.975}= 1.965

1. 95% CI for Asians that would welcome a white person.

If 79% would welcome a white person, then the expected value is:

E(X)= n*p= 251*0.79= 198.29

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.79*0.21=41.6409

√V(X)= 6.45

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

198.29±1.965*6.45

[185.62;210.96]

With a 95% confidence level, you'd expect that the interval [185.62; 210.96] contains the number of Asian people that would welcome a White person in their family.

2. 95% CI for Asians that would welcome a Latino person.

If 71% would welcome a Latino person, then the expected value is:

E(X)= n*p= 251*0.71= 178.21

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.71*0.29= 51.6809

√V(X)= 7.19

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

178.21±1.965*7.19

[164.08; 192.34]

With a 95% confidence level, you'd expect that the interval [164.08; 192.34] contains the number of Asian people that would welcome a Latino person in their family.

3. 95% CI for Asians that would welcome a Black person.

If 66% would welcome a Black person, then the expected value is:

E(X)= n*p= 251*0.66= 165.66

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.66*0.34= 56.3244

√V(X)= 7.50

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

165.66±1.965*7.50

[150.92; 180.40]

With a 95% confidence level, you'd expect that the interval [150.92; 180.40] contains the number of Asian people that would welcome a Black person in their family.

I hope it helps!

5 0
3 years ago
Mathematical connection A lighthouse casts a revolving beam of light as far as the pier
Alexandra [31]

The light's coverage area is given mathematically as i.e. Area=\pi d^{2}

Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.

The revolving beam of light covers the whole space i.e entirely 360°

I.e. it forms a circle-like region

Area of circle = \pi r^{2}{ where r is the radius of circle}

Let's assume the distance traveled by light as "d"

as it forms a circular region, it forms a circle of radius "d"

Mathematical connection i.e. area of the region

⇒area of circular region=\pi d^{2} {where d is the radius of region}

Learn more about area here:

brainly.com/question/27683633

#SPJ9

4 0
2 years ago
A case of Mountain Dew (24cans) costs $7.68. What is the unit price?
Ronch [10]
Here are the unit rates involved:

$7.68 / 1 case  =  $7.68 per case

$7.68 / 24 cans  =  $0.32 per can

1 case / $7.68  =  0.13 case per $

24 cans / $7.68  =  3.125 cans per $

And of course ...

24 cans / 1 case  =  24 cans per case

1 case / 24 cans  =  0.041666... case per can

5 0
3 years ago
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example tha
ioda
True.

You're allowed to move stuff around. Dogs of the AMS.

y' = 3y - 2x + 6xy - 1 \\
y' = 3y + 6xy - 2x - 1 \\
dy/dx= 3y(1 + 2x) - (2x + 1) \\
dy/dx = 3y(1 + 2x) - (1 + 2x) \\
\frac{dy}{dx} = (3y - 1)(1 + 2x) \ \Rightarrow\ \dfrac{dy}{3y-1} = (1 + 2x) dx

We wrote it in the form dy/dx = g(x) f(y) so this is separable.
3 0
3 years ago
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