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3 years ago

The ages of Sara and Samia are in the ratio 3: 5. Six years from now the ratio of

Mathematics

1 answer:

muminat3 years ago

6 0

Answer:

Sara=18 years

Samia=30 years

Step-by-step explanation:

For age questions, the difference of their ages remains the same.

Now 6 years from now

Sara:Samia Difference Sara:Samia Difference

3 : 5 2 2 : 3 1

x2 x2 x2 (times two to make them equal)

4 : 6 2

4-3=1

1 unit=6

Sara=6x3=18

Samia=6x5=30

Hope this helps! Thanks.

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A confidence interval (CI) is desired for the true average stray-load loss u (watts) for a certain type of induction motor when

Genrish500 [490]

Answer:

A) CI = (57.12 , 59.48)

B) CI = (57.71 , 58.89)

C) CI = (57.53 , 59.07)

D) n = 239.63

Step-by-step explanation:

given data:

mean, $\bar X = 58.3$

standard deviation, σ = 3

sample size, n = 25Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025,

Zc = Z(α/2) = 1.96

$ME = Zc * σ \sqrt{n}$

$ME = 1.96 * 3 \sqrt{25}$

ME = 1.18

$CI = (\bar X - Zc * s\sqrt{n} , \barX + Zc * s\sqrt{n})$

$CI = (58.3 - 1.96 * 3\sqrt{25} , 58.3 + 1.96 * 3\sqrt{25})$

CI = (57.12 , 59.48)

Given data:

mean, $\bar X = 58.3$

standard deviation, σ = 3

sample size, n = 100

Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025, Zc = Z(α/2) = 1.96

$ME = zc * σ \sqrt{n}$

$ME = 1.96 * 3\sqrt{100}$

ME = 0.59

$CI = (\bar X - Zc * s\sqrt{n} , \barX + Zc * s\sqrt{n})$

$CI = (58.3 - 1.96 * 3\sqrt{100} , 58.3 + 1.96 * 3\sqrt{100})$

CI = (57.71 , 58.89)

sample mean, $\bar X = 58.3$

sample standard deviation, σ = 3

sample size, n = 100

Given CI level is 99%, hence α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005, Zc = Z(α/2) = 2.58

$ME = Zc * σ \sqrt{n}$

$ME = 2.58 * 3\sqrt{100}$

ME = 0.77

$CI = (\bar X - Zc * s\sqrt{n} , \barX + Zc * s\sqrt{n})$

$CI = (58.3 - 2.58 * 3\sqrt{100} , 58.3 + 2.58 * 3/\sqrt{100}$

CI = (57.53 , 59.07)

Given data:

Significance Level, α = 0.01,

Margin or Error, E = 0.5,

σ = 3

The critical value for α = 0.01 is 2.58.

for calculating population mean we used

$n \geq (zc *σ/E)^2$

$n = (2.58 * 3/0.5)^2$

n = 239.63

7 0

3 years ago

Can someone help me please please please

marissa [1.9K]

Use the Pythagorean theorem $a^{2} + b^{2} = c^{2}$ to find the missing side length of a right triangle

In this case, after you plug in the given numbers your equation is $12^{2} + y^{2} = 20^{2}$

Then, Just solve that equation for y.

$144 + y^{2} = 400$

$x^{2} = 256$

$\sqrt{} y^{2} = \sqrt{256}$

y = 16

So the answer is B, 16 cm.

I hope this helps, please feel free to ask questions if you're still confused :)

7 0

4 years ago

-2 (2x+1) = 26 ? <br> need work shown please

Harrizon [31]

Here you go. This will help you

3 0

3 years ago

Read 2 more answers

I really need help on this !!

Naddik [55]

Answer:

r = -1

Step-by-step explanation:

(y2-y1)/(x2-x1)=m

(r,7)=(x1,y1) and (3,4)=(x2-y2) and m=-3/5

so plug in...

(4-7)/(4-r)=-3/5

then solve for r which will get that r = -1

numerator: 4-7=-3

denominator: 4-r=5 -> 4-5=0+r -> -1=r

4 0

3 years ago

7.<br> Solve for x:<br> x^4-5x^2+4 = 0

arlik [135]

Answer:

x=2

Step-by-step explanation:

8 0

3 years ago