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Art [367]
3 years ago
13

What is the first step when solving the equation: 3x-8=343x−8=34 ?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

Adding 3x and 343x together

Step-by-step explanation:

and then you'd have 346x + -16 = 34

just comment if you need the answer to the equation too good luck ;)

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Suppose the speeds of cars along a stretch of I-40 is normally distributed with a mean of 70 mph and standard deviation of 5 mph
neonofarm [45]

Answer:

a) 68%.

b) 84%.

c) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

d) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

e) Between 60 mph and 80 mph.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 70 mph, standard deviation of 5 mph.

(a) Approximately what percent of cars are travelling between 65 and 75 mph?

70 - 5 = 65

70 + 5 = 75

Within 1 standard deviation, so approximately 68%.

(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit?

The normal distribution is symmetric, which means that 50% of the measures are below the mean, and 50% are above.

65 is one standard deviation below the mean, so of the cars below the mean, 68% are above 65 mph.

0.68*50% + 50% = 34% + 50% = 84%.

84%.

(c) What percent of cars are traveling at a speed greater than or equal to 80 mph?

80 = 70 + 2*10

2 standard deviations above the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean. Due to the symmetry of the normal distribution, of the other 5%, 2.5% is at least 2 standard deviations below the mean and 2.5% is at least 2 standard deviations above the mean. Then:

Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

(d) What percent of cars are traveling at a speed greater than 80 mph?

Same as item c, as in the normal distribution, the probability of an exact value is considered to be 0.

(e) 95% of cars are traveling between what two speeds?

Within two standard deviations of the mean.

70 - 2*5 = 60 mph

70 + 2*5 = 80 mph.

Between 60 mph and 80 mph.

6 0
2 years ago
ASAP!!!!!PLEASE HELP
ki77a [65]

\frac{distance}{time} =\frac{100/1609}{5/3600} = approx. 44.64\\answer D

8 0
3 years ago
Read 2 more answers
Mrs cats invited three of her friends out for lunch she paid $33 for food $17 for soft drinks $3 for taxes and $6 for a tip how
Firdavs [7]

Answer:

$14.75 per person

Step-by-step explanation:

because there are 4 people in total including Mrs Cats you would add up 33 + 17 + 3 + 6 to get 59 then you would divide that by the amount of people there are in this case 4 to get 14.75.

5 0
3 years ago
Read 2 more answers
Graph a line that contains the point (6, -5) and has a slope of -2/3.
Lapatulllka [165]

We know that the equation of the line is in the form y=-\frac{2}{3}x+b. To find b, we can use the fact that (6,-5) lies on the line, meaning that both sides of the equation are equal when x=6 and y=-5.

-5=-\frac{2}{3}(6)+b\\-5=-4+b\\b=-1

Hence, the equation of the line is y=-\frac{2}{3}x-1, and its graph looks something like follows.

8 0
1 year ago
Solving quadratic formulas<br> 8y²-30y+27=2
Bess [88]
Y=5/2, 5/4 your welcome
6 0
2 years ago
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