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BaLLatris [955]
3 years ago
6

In a factory, a manager tests 250 products and finds defects in 7 of them. How many defects are likely going to be in a 10,000 u

nit order.
(7th grade)
Mathematics
1 answer:
Natalka [10]3 years ago
7 0

Answer:

280

Step-by-step explanation:

first make a proportion. 7 over 250= x over 10,000. cross multiply to get 250x=70,000. 70,000 divided by 250 which gets you 280.

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dangina [55]
I’m pretty sure the answer is either D or E but I’m not positive !
7 0
2 years ago
Find the unit tangent vector T(t) to the curve r(t) = [sin(t), 1 + t, cos(t)] when t = 0.
ss7ja [257]

Compute the derivative of \mathbf r(t) at t=0 - this will be the tangent vector - then normalize it by dividing it by its magnitude to get the unit tangent vector \mathbf T(t).

\mathbf r(t) = \langle \sin(t), 1+t, \cos(t) \rangle \implies \dfrac{d\mathbf r}{dt} = \langle \cos(t), 1, -\sin(t) \rangle \implies \dfrac{d\mathbf r}{dt}(0) = \langle 1, 1, 0 \rangle

\|\langle1,1,0\rangle\| = \sqrt{1^2+1^2+0^2} = \sqrt2

\implies\mathbf T(0) = \dfrac{\langle1,1,0\rangle}{\sqrt2} = \boxed{\left\langle \dfrac1{\sqrt2}, \dfrac1{\sqrt2}, 0\right\rangle}

7 0
1 year ago
A small can if cat food weights 0.5 pounds . Millie's cat ate 0.3 can of food. How much food did mollies cat eat?
Alex
68.04 grams
Since it's half a pound you would need to find thirty percent of half a pound

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3 years ago
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2 years ago
What is the solution to the equation 2 ( 5 + 2 x ) = − 4 + 6 x ? x = 3 2 x = 3 2 x = 7 6 x = 7 6 x = 2 x = 2 x = 7 x = 7
soldi70 [24.7K]

Answer:

7=x

Step-by-step explanation:

multiply 5 and 2x by 2, you'll then have (10+4x)=-4+6x. Then add 4 to both sides and you have (14+4x)=6x. Subtract 4x from both sides and that'll get you 14=2x and you divide 2 from each side to get x by itself so 7 is your answer.

5 0
2 years ago
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