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3 years ago

How to solve this question? please help me

Mathematics

1 answer:

Ber [7]3 years ago

4 0

Use the Pythagorean theorem a^2 + b^2 = c^2

45^2 + 80^2 = c^2

2025 + 6400 = c^2

c^2 = 8425

c = √8425

c = 91.787

Rounded to the nearest foot = 92 feet

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In a shipment of 600 parts, 30 are found to be defective. How many defective parts should be expected in a shipment of 1000?

kobusy [5.1K]

We can except 30/600 = 0.05>> 5%percent,
so 1000 * 0.05 = 50 parts defective

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2 years ago

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round y

tino4ka555 [31]

Answer:

0.8762 or 87.62%

Step-by-step explanation:

Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:

$z=\frac{x-\mu}{\sigma}$

Our x value ranges from 10 to 26 therefore let x=10 and we obtain:

$z=\frac{10-14.3}{3.7} =-1.16\\$

If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.

Now let's calculate the z value when x = 26 and so:

$z=\frac{26-14.3}{3.7}=3.16\\$

Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.

Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:

0.9992 - 0.1230 = 0.8762

or 87.62%

7 0

2 years ago

Which angles are supplementary angles?

Tpy6a [65]

Answer:

Supplementary angles are two angles with a sum of 18 0 ∘ 180 ^\circ 180∘ . A common case is when they lie on the same side of a straight line.

Answer - KJM and KJH

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2 years ago

Write the prime factorization of 3.

DaniilM [7]

Answer:

there is none prime factorization of 3. Since it cant be multiplied by anything to get 3 like 2 and 5 and 7

Step-by-step explanation:

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3 years ago

Which of the following represents 3x-5y+10=0 written in slope-intercept form?

taurus [48]

For this case we have that by definition, the equation of a line in the slope-intercept form is given by:

$y = mx + b$

Where:

m: Is the slope

b: Is the cut-off point with the y axis

We have the following equation:

$3x-5y + 10 = 0$

We manipulate algebraically:

We subtract 10 from both sides of the equation:

$3x-5y = -10$

We subtract 3x from both sides of the equation:

$-5y = -3x-10$

We multiply by -1 on both sides of the equation:

$5y = 3x + 10$

We divide between 5 on both sides of the equation:

$y = \frac {3} {5} x + \frac {10} {5}\\y = \frac {3} {5} x + 2$

Thus, the equation in the slope-intercept form is $y = \frac {3} {5} x + 2$

Answer:

$y = \frac {3} {5} x + 2$

5 0

3 years ago