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frosja888 [35]
3 years ago
5

jerry is a judge. He hears 5 cases every 2 3/8 hours. Jerry hears caese at a constant rat. How many cases does he hear per hour

Mathematics
1 answer:
faust18 [17]3 years ago
8 0

Answer:

The number of cases heard by Jerry per hour is 2\frac{21}{500}

Step-by-step explanation:

The rate of hearing the cases is 5 cases in 2 3/8 hours.

Now, 2\frac{3}{8}   = 2+\frac{3}{8}  = 2 + 0.375 = 2.375

⇒The judge hears 5 cases in 2.375 hours.

So, the number of cases per hour = = \frac{\textrm{Total Number of cases heard}}{\textrm{Number of Hours}}  = \frac{5}{2.375}

                                                           = 2.105

Also, 2.105 =   2 + 0.105 =  2 + \frac{105}{1000}   = 2+\frac{21}{500}  = 2\frac{21}{500}

Hence, the number of cases heard by Jerry per hour is 2\frac{21}{500}

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An index that is a standardized measure used in observing infants over time is approximately normal with a mean of 90 and a stan
weqwewe [10]

Answer:

The proportion of children that have an index of at least 110 is 0.0478.

Step-by-step explanation:

The given distribution has a mean of 90 and a standard deviation of 12.

Therefore mean, \mu = 90 and standard deviation, \sigma = 12.

It is given to find the proportion of children having an index of at least 110.

We can take the variable to be analysed to be x = 110.

Therefore we have to find p(x < 110), which is left tailed.

Using the formula for z which is p( Z < \frac{x - \mu}{\sigma}) we get p(Z < \frac{110 - 90}{12} = 1.67).

So we have to find p(Z ≥ 1.67) = 1 - p(Z < 1.67)

Using the Z - table we can calculate p(Z < 1.67)  = 0.9522.

Therefore p(Z ≥ 1.67) = 1 - 0.9522 = 0.0478

Therefore the proportion of children that have an index of at least 110 is 0.0478

8 0
3 years ago
two sequences have the formulae 3n-1 and 7n+2 . A new sequences is formed by the number which appear in both of these sequences.
dangina [55]

Answer:

65+42*(n-1)

Step-by-step explanation:

aₙ = 65+42*(n-1)

65, 107, 149, 191, .....

5 0
3 years ago
How do you turn it into​ a percent
EastWind [94]
So what you do it you multiply that number by 100 because it is out of 100% so therefore it would be 140.6%. But I cannot tell you that that is correct without more information. 
3 0
3 years ago
Find the slope of the line that passes through (3, 7) and (6, 8).
OLEGan [10]

Answer:

Slope = 1/3

Step-by-step explanation:

<em>Step 1: Define general form of equation of line</em>

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

<em>Step 2: Set up the system to solve for slope M of equation of line</em>

That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).

Substitute these values of x and y into the original equation in step 1:

7 = 3M + b

8 = 6M + b

<em>Step 3: Solve the system of equations in step 2 for M</em>

Subtract 1st equation from 2nd equation:

8 - 7 = 6M - 3M + b - b

Simplify both sides:

1 = 3M

Divide both sides by 3:

=> M = 1/3

Hope this helps!

:)

8 0
3 years ago
Read 2 more answers
The two triangles are similar.
prohojiy [21]
I believe it is 60 inches
3 0
2 years ago
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