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jok3333 [9.3K]
3 years ago
10

N/2-2n/16=3/8 what is the value of n?

Mathematics
2 answers:
adoni [48]3 years ago
5 0
Please look at my picture for the process.

Yakvenalex [24]3 years ago
4 0
N/2 - 2n/ 16 = 3/8
(n x 8 / 2 x 8 ) - (2n / 16) = 6 / 16
8n / 16  -  2n / 16  =  6/ 1 6
8n - 2n = 6
6n = 6
n = 6 / 6  = 1
n = 1
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Find the sum of 5 smallest consecutive whole numbers. Not 15
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10

Step-by-step explanation:

0 is the first whole number

The 5 smallest consecutive whole numbers:

0 , 1 , 2 , 3, 4

Add

0 + 1 + 2 + 3 + 4

10

Hope this helps :)

6 0
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Kleyder heard that a car stereo system was on sale for 30% off. If the original price was $82.50, what was the sale price of the
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This means the cost of the item to you is $57.75. You will pay $57.75 for a item with original price of $82.50 when discounted 30%. In this example, if you buy an item at $82.50 with 30% discount, you will pay 82.50 - 24.75 = 57.75 dollars.

3 0
3 years ago
In a random sample of 600 cars making a right turn at a certain intersection, 157 pulled into the wrong lane. Test the hypothesi
nevsk [136]

Answer:

a)

<em>The statistic value |Z| = 2.053 > 1.96 at 0.05 Level of significance</em>

<em>Null hypothesis is rejected</em>

<em>Alternative hypothesis is Accepted</em>

<em> Actually 30% of all drivers make not this mistake at the given intersection</em>

<em>b)</em>

<em>The test statistic value |Z| = 2.053 >2.576 at 0.01 Level of significance</em>

<em>Null hypothesis is Accepted</em>

<em> Actually 30% of all drivers make this mistake at the given intersection</em>

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given Population proportion = 30% or 0.30

Given data In a random sample of 600 cars making a right turn at a certain intersection, 157 pulled into the wrong lane

sample proportion

          p^{-} = \frac{x}{n} = \frac{157}{600} = 0.2616

<em>Null hypothesis:- H₀: p = 0.30</em>

<em>Alternative  hypothesis : H₁:p≠0.30</em>

<u><em>Step(ii):-</em></u>

a)

<em>Test statistic </em>

        Z = \frac{p^{-}-P }{\sqrt{\frac{p(1-p)}{n} } }

      Z = \frac{0.2616-0.30 }{\sqrt{\frac{0.30(1-0.30)}{600} } }

     Z =  -2.053

<em>     |Z| = |-2.053| = 2.053</em>

<em>Level of significance = 0.05</em>

<em>Z₀.₀₅ = 1.96</em>

<em>The calculated value |Z| = 2.053 > 1.96 at 0.05 Level of significance</em>

<em>Null hypothesis is rejected</em>

<em>Alternative hypothesis is Accepted</em>

<u><em>Conclusion:</em></u><em>-</em>

<em> Actually 30% of all drivers make not this mistake at the given intersection</em>

<em>b)</em>

<em>Given level of significance  = 0.01</em>

<em>Z₀.₀₁ = 2.576</em>

<em>The calculated value |Z| = 2.053 >2.576 at 0.01 Level of significance</em>

<em>Null hypothesis is Accepted</em>

<em> Actually 30% of all drivers make this mistake at the given intersection</em>

7 0
3 years ago
Alexa is preheating her oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increa
zhuklara [117]

Answer:

155 degrees

Step-by-step explanation:

10 x 8 = 80

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3 0
3 years ago
Read 2 more answers
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astra-53 [7]
<span>center of mass = (0, 0, 96/13) exactly (0, 0, 7.3846) approximately. The object described is a spherical cap for a sphere with a radius of 10. Since the sphere is centered at the origin, the center of mass will have X and Y coordinates of 0 and we only need to find the Z coordinate. The formula for the geometric centroid of a spherical cap is: z = 3(2R - h)^2 / 4(3R - h) where z = distance from the center of the sphere R = radius of sphere h = distance from base of spherical cap to top of spherical cap And for a spherical cap of uniform density, the geometric centroid is also known as the center of mass. Since the sphere has a radius of 10 and is cut by the plane z=6, the value h will be 10-6 = 4. So substitute the known values into the formula: z = 3(2R - h)^2 / 4(3R - h) z = 3(2*10 - 4)^2 / 4(3*10 - 4) z = 3(20 - 4)^2 / 4(30 - 4) z = 3(16)^2 / 4(26) z = 3(256) / 104 z = 768/104 z = 96/13 z ~= 7.384615385</span>
6 0
3 years ago
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