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andriy [413]
3 years ago
11

The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.35 inches and a standard deviatio

n of 0.01 inches. What percentage of bolts will have a diameter greater than 0.36 inches? Enter your answer as a percentage rounded to two decimal places.
Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0

Answer:

15.87%

Step-by-step explanation:

Notice that the mean of 0.35 inches with a standard deviation of 0.01 gives you when you add (to the right of the distribution), exactly 0.36. Since you want to find the probability (or percentage) of the bolts that have diameter LARGER than 0.36 in, that means you want to estimate the area under the Normal distribution curve from 0.36 to the right). See attached image.

We can use the tables of Z distribution for that, or the standard normal tables:

P(x>0.36) = P(z>(0.36-0.35)/0.01) = P(Z>1) = 0.1587 = 15.87%

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Drew's car weighs 1,344 kilograms. His car weighs 7 times as much as his motorcycle. How many grams does his motorcycle weigh? N
Alona [7]

Answer:

192,000 grams

Step-by-step explanation:

turn 1,344 kilograms to grams, which gives u 1344000 grams

divide 1344000 by 7 and you get 192,000 grams. Hope this helped :)

7 0
3 years ago
BEST ANSWER GETS BRAINLIEST!!! PLEASE HELP
Ksenya-84 [330]
The answer is 3X + 12 because in he distributive property you must multiply both the 3X and the 4 by 3

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8 0
3 years ago
a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola
Jet001 [13]

Answer:

The vertex form of the equation is y = -\frac{1}{3}( x-1)^{2} +1.

Step-by-step explanation:

You will use the equation y=a(x-h)^{2} +k to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get y= a(x - 1)^{2} +1.

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Now, substitute your a back into the equation to get y = -\frac{1}{3}(x-1)^{2}+1.

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}.

5 0
3 years ago
How many solutions does the equation 4x + 8 = −2 − 2 + 5x have?
Anna71 [15]
<span>4x + 8 = −2 − 2 + 5x
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There's only one solution, x = 12</span>
3 0
3 years ago
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We have to find the lengths of the diagonals KM and JL:
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d ( JL ) = √ ( ( a - ( - b ) )² + ( 0 - c )²) = √ ( ( a + b )² + c² )
So the lengths of the diagonals KM and JL are congruent.
The lengths of the diagonals of the isosceles trapezoid are congruent.   
6 0
3 years ago
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