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NikAS [45]
3 years ago
5

which of the following lines is parallel to the graph of 5x+2y=8? a) 2x+5y=3 b) 5x-2y=6 c) -10x-4y=7 d) -10x+4y=9

Mathematics
1 answer:
zaharov [31]3 years ago
3 0
I hope this helps you

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The life times of light bulbs produced by a particular manufacturer have a mean of 1,200 hours and a standard deviation of 400 h
Nezavi [6.7K]

Answer:

a. 1200hours

b.  σ² = 400² =160000hour

c. standard error = 133.33

d. for 9 lightbulb it is likely that 9*0.146 = 1.31 bulbs will have lives of fewer than 1,050 hours?

Step-by-step explanation:

mean of 1,200 hours

σ, a standard deviation of 400 hours.

Sample size, N =  nine bulbs,

a) mean of the sample mean lifetime: is given as 1,200 hours

b) variance of the sample mean is the square of the  σ, a standard deviation of 400 hours.

σ² = 400² =160000hours

c) What is the standard error of the sample mean?

The standard deviation of a sampling distribution of mean values is called the standard error of the means,

standard error of the means,  σx = σ √N

The formula for the standard error of the means is true for all values infinite number of sample, N.

σx = σ √N

     =400  √9 = 400/3 =133.3333

d) the probability that, on average, those nine lightbulbs have lives of fewer than 1,050 hours

The area under part of a normal probability curve is  directly proportional to probability and the value is calculated as

z = ( x₁−x) /σ

where z = propability of normal curve

x₁ = variate mean = 1050hours

x = mean of 1200hours

σ = standard deviation = 400

applying the formula,

z= (1050-1200)/400

z = 150/400 =0.375

Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 0.375 corresponds to an area of 0.1460 between the mean value.

Thus the probability of a lightbulbs having lives of fewer than 1,050 hours is 0.1460.

for 9 lightbulb it is likely that 9*0.146 i.e. 1.31 bulbs will have lives of fewer than 1,050 hours?  

8 0
3 years ago
Please Helpppp!!!!! I Have no clue I forgot how to find the slope.
monitta
Answer: 2/3

Explanation: the difference between -14 and -10 is 4 and in fractions x/y. so we have 4/y. the difference between -18 and -12 is 6 so we have 4/6 but we can simplify that to 2/3.
6 0
2 years ago
Read 2 more answers
Which graph represents x - 1 ≤ 3
MAVERICK [17]
The first graph. 

The  equation is x - 1 \leq 3
In order to solve it, you need to get x by itself.
Add 1 to both sides.  3+1=4
x \leq 4

Since this is your sign \leq the arrow has to point towards the left, and the circle needs to be colored in.
3 0
3 years ago
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality
Dmitriy789 [7]

Answer:Justin plans to spend $20 on sports cards. Regular cards cost $3.50 per pack and foil cards cost $4.50 per pack

number of packs of regular cards =r and the number of packs of foll cards = f

Cost of Regular card = 3.50

Cost of 'r' packs of regular card = 3.50r

Cost of Foil card = 4.50

Cost of 'f' packs of Foil card = 4.50f

Justin plans to spend $20 on sports cards so the sum of cost of regular and Foil cards should be less than or equal to 20

The inequality becomes

3.50r + 4.50f <= 20

3 0
3 years ago
A ball is dropped from a height of 10 feet. The ball bounces to 90% of its previous height with each bounce. Identify the geomet
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The geometric sequence that shows the height of the fourth bounce in bold is B) 9, 8.1, 7.3, 6.6,...
5 0
3 years ago
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