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frez [133]
3 years ago
7

What is the gradient?

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer:

Gradient = 2

Step-by-step explanation:

Gradient of a line = Slope of the line

Since, slope of a line passing through two points (x_1, y_1) and (x_2,y_2) is given by,

Slope = \frac{y_2-y_1}{x_2-x_1}

Given line in the graph passes through two points (1, 0) and (2, 2)

Therefore, slope or gradient of the line = \frac{2-0}{2-1}

                                                                  = 2

Gradient = 2 will be the answer.

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What value of x satisfies the equation 3x/7+5/7=4/7
Nana76 [90]
You can multiply everything by 7 to make things simpler.
3x + 5 = 4
3x = -1
x = -1/3
3 0
3 years ago
The weight of a beg of pears at the local market averages 8 pounds with a standard deviation of 0.5 pound. The weight of all the
Blababa [14]
Mean weight of the bag of pears = u = 8 pounds
Standard deviation = s = 0.5 pounds

We have to find what percentage of bags of pears will weigh more than 8.25 pounds. This can be done using the z score.

We have to convert x = 8.25 to z scores, which will be:

z= \frac{x-u}{s}= \frac{8.25-8}{0.5}

z score = 0.5

From the z table, the probability of z score being greater than 0.5 is 0.3085

Therefore, the probability of a bag to weigh more than 8.25 pounds is 0.3085

Thus 0.3085 or 31% (rounded to nearest integer) of bags of pears will have weight more than 8.25 pounds at the local market.
4 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Archy [21]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Suppose that 76% of americans prefer coke to pepsi. a sample of 80 was taken. what is the probability that at least seventy perc
vladimir2022 [97]
The standard deviation of the sample proportion is:
\sqrt{ \frac{0.76(1-0.76)}{80}} =0.048
The z-score for 0.7 is:
z= \frac{0.7-0.76}{0.048} =-1.25
Reference to a standard normal distribution table shows that the probability that at least 70% of the sample prefers coke to pepsi is 0.8944 or 89.44%.
6 0
3 years ago
Suppose a call center receives 4000 calls on average during their Friday evening shift. Next Friday several people have put in f
luda_lava [24]

Answer:

The probability that the center will have enough employees to handle this call volume is 0.2764

Step-by-step explanation:

Probability is defined as the ratio of favorable outcomes to the total number of outcomes.

Here the total mean expected number of outcomes=u = 4000

The favorable  expected outcomes are = x= 22* 178= 3916

The  standard deviation= σ= 5

The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5

So z= x-u/σ

Z= (3916-4000)/22/5

z= -0.764

From the table of areas under normal curve

P (  x= 3916)=  P( -0.764 ≤ Z≤ 0)

P (  x= 3916)=  0.2764

The probability that the center will have enough employees to handle this call volume is 0.2764

3 0
3 years ago
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