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2 years ago

the ratio of isabella's money to shane's money is 3:11. if isabella has 33, how much money do shane and isabella have together?

Mathematics

2 answers:

4vir4ik [10]2 years ago

8 0

$154.

If Isabella has 33, that means 33/3 > 11 x 11 > 121
121 (Shane's money) + isabella's 33 = $154

lukranit [14]2 years ago

5 0

So here's what we know. The ratio of Isabella’s money to Shane’s money is 3:11 and Isabella has $33.

We can make a proportion to solve for how much money Shane has and then use these proportions to find how much they have total.
Let’s call Shane’s money ‘S’ to eliminate confusion.

We get this proportion:   3/11 = 33/x (3/11 = 3:11)

When we cross multiply (because that's the easiest way to solve for proportions in my opinion), we get:
33*11 = 3*x

Simplifying it, we get:
3*x = 363

Divide both sides by 3, we get:
x = 121

Now that we know how much Shane has, we can solve for the total.

33 + 121 = $154

They have $154 together.

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A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample

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Answer:

Step-by-step explanation:

Step(i):-

Given first random sample size n₁ = 500

Given Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

First sample proportion

$p^{-} _{1} = \frac{65}{500} = 0.13$

Given second sample size n₂ = 700

Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.

second sample proportion

$p^{-} _{2} = \frac{133}{700} = 0.19$

Level of significance = α = 0.05

critical value = 1.96

Step(ii):-

Null hypothesis : H₀: There is no significance difference between these proportions

Alternative Hypothesis :H₁: There is significance difference between these proportions

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where

$P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165$

Q = 1 - P = 1 - 0.165 = 0.835

$Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }$

Z = -2.76

|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion:-

There is there is a difference between these proportions at α = 0.05

3 0

2 years ago

Isla is dividing 3x3 + x2 - 12x - 4 by x + 2 using a division table.

maria [59]

A. A = -10 x, B = -4

Explanation:

Given:

For A:

The Quotient of the Operation is -5 x

The Divisor of the Operation is 2

So the remainder is -10 x

For B:

The Quotient of the Operation is -2

The Divisor of the Operation is +2

So the remainder is -4

So, the missing values in the table is A = -10 x and B = -4

3 0

2 years ago

Read 2 more answers

Milton is floating in an inner tube in a wave pool. He is 1.5 m from the bottom of the pool when he is at the trough of a wave.

posledela

This is the concept of sinusoidal, to solve the question we proceed as follows;
Using the formula;
g(t)=offset+A*sin[(2πt)/T+Delay]
From sinusoidal theory, the time from trough to crest is normally half the period of the wave form. Such that T=2.5
The pick magnitude is given by:
Trough-Crest=
2.1-1.5=0.6 m
amplitude=1/2(Trough-Crest)
=1/2*0.6
=0.3
The offset to the center of the circle is 0.3+1.5=1.8
Since the delay is at -π/2 the wave will start at the trough at [time,t=0]
substituting the above in our formula we get:
g(t)=1.8+(0.3)sin[(2*π*t)/2.5]-π/2]
g(t)=1.8+0.3sin[(0.8πt)/T-π/2]

3 0

2 years ago

The most economical proportion for a right circular cone is to have its height three times long as its base diameter. What later

defon

9514 1404 393

Answer:

∛(2500π)√37 m² ≈ 120.911 m²

Step-by-step explanation:

If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...

V = 1/3πr²h

V = 1/3πr²(6r) = 2πr³

For a volume of 100 m³, the radius is ...

100 m³ = 2πr³

r = ∛(50/π) m

The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:

s² = r² +(6r)² = 37r²

s = r√37

Then the lateral area is ...

LA = πrs

LA = π(∛(50/π) m)(∛(50/π) m)√37

LA = ∛(2500π)√37 m² ≈ 120.911 m²

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2 years ago

On a state map, a cartographer plots Geocity at coordinates (5, 8) and Shapetown at coordinates (11, 16). How far is it from Geo

Eddi Din [679]

We can solve for the distance between Geocity to Shapetown using the formula for the distance between two points which is shown below:
d² = (x2-x1)²+(y2-y1)²
Such as we have two points:
Geocity (5,8)
Shapetown (11,16)

Solving for the distance, we have:
d² = (11-5)² + (16-8)²
d² = 6² + 8²
d = 10

The answer is 10 units.

7 0

2 years ago