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KonstantinChe [14]
2 years ago
8

Q-35 Convert this equation to slope-intercept form: y+2= -4/17x + 12/7

Mathematics
1 answer:
Andru [333]2 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

given y + 2 = - \frac{4}{17} x + \frac{12}{7}

Subtract 2 from both sides

y = - \frac{4}{17} x + \frac{12}{7} - \frac{14}{7}

y = - \frac{4}{17} x - \frac{2}{7} ← in slope- intercept form


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A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1200 hours and a standar
a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 1200, \sigma = 60

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.

Z = \frac{X - \mu}{\sigma}

-2.325 = \frac{X - 1200}{60}

X - 1200 = -2.325*60

X = 1060.5

The bulbs should be replaced each 1060.5 days.

4 0
2 years ago
What is 4 60/72 as a decimal
Whitepunk [10]

Answer:

0.206897

Step-by-step explanation:

it is 0.206897 because you have take the whole make uneven fraction an add it to 60 in 60/72 to get 348 divided equals 0.206897

3 0
2 years ago
Read 2 more answers
01: Which gives the correct order of steps needed to multiply the problem below? 83 X 39 O Multiply the ones. 8 times 39 is 312.
Burka [1]

Answer:

Multiply the ones. 9 times 83 is 747. Multiply the tens. 30 times 83 is 2,490. Add the products to get 3,237.

The rest of the question:

Which gives the correct order of steps needed to multiply the problem below?   "83x39 "

The steps to multiply  83x39

1) multiply the ones 9 times 83 = 9 times 3 + 9 times 80 = 27 + 720 = 747

2) multiply the tens 30 times 83 = 30 times 3 + 30 times 80 = 90 + 2400 = 2490

3) add 747 and 2490 = 747 + 2490 = 3,237

According to the previous steps, the answer is option 3

Multiply the ones. 9 times 83 is 747. Multiply the tens. 30 times 83 is 2,490. Add the products to get 3,237.

6 0
3 years ago
Read 2 more answers
Nadia makes a monthly income of $4,000. How much will Nadia have for impulse shopping after she pays all of her bills for the mo
Llana [10]
You add all the percentages up and it will give you 64. take 64 and put it over 100 because percentages as a fraction will always be the amount over a 100.  
so its 64/100 multiply by 4000/1. 64*4000= 256000 over 100. 256000 divided by 100 = 2560

$2560
7 0
3 years ago
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
svet-max [94.6K]

Answer:

100.3 units²

Step-by-step explanation:

✅Find the area of the parallelogram:

Area of Parallelogram is given as base × height

base = 10

height = 5

Area of Parallelogram = 10*5 = 50

✅Next, find the area of the two semicircles:

The two semicircles = 1 circle

Area of circle = πr²

r = 8/2 = 4

Area = π*4² = 16π = 50.3 (nearest tenth)

✅Area of figure = 50 + 50.3 = 100.3 units²

3 0
3 years ago
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