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Rashid [163]
3 years ago
7

Finish the polynomial by adding one number to make it a perfect square x^2+18x+

Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

81

Step-by-step explanation:

{x}^{2}  + 18x + {(( \frac{1}{2})(18)) }^{2}

{x}^{2}  + 18x +  {9}^{2}

{x}^{2}  + 18x + 81

{(x + 9)}^{2}

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A pencil factory makes 50 cases of pencils in 5 hours.
Oduvanchick [21]


If a pencil factory makes 50 cases of pencils in 5 hours. Let's first find out how many cases are made per hour.

50 ÷  5 = 10 cases per hour

Now you need to know how long it will take to make 55 cases. Since we already know that it takes 5 hours to make 50 cases. So you need to know how many cases for the extra 5 cases. If it takes 1 hour to make 10 cases, it would only take 1/2 hour to make 5 cases.

So it would take 5 1/2 hours to make 55 cases.

Hope this helps. :)

5 0
3 years ago
10.) Find the measure of angle E.​
Luda [366]
145 degrees. Angle 145 and and E are the same
8 0
3 years ago
HELLLLLLLLLLLLOOOOOOOO HELPPPPPPP
const2013 [10]

Answer:

<h2><u><em>MARK ME AS BRILLANT </em></u><em>^_^ ~_~</em></h2>

Step-by-step explanation:

3 0
3 years ago
When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a
k0ka [10]

Answer:

z=\frac{x-\mu}{\sigma}

And we can find the nnumber of deviations from the mean for each limit given:

z_1 = \frac{17-32}{5} = -3

z_2= \frac{47-32}{5} = 3

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Step-by-step explanation:

Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:

X \sim N(32,5)  

Where \mu=32 and \sigma=5

We want to find this probability:

P(17

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And we can find the nnumber of deviations from the mean for each limit given:

z_1 = \frac{17-32}{5} = -3

z_2= \frac{47-32}{5} = 3

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

8 0
3 years ago
The histogram shows the ages of cars sold at a car auction. what percent of the cars was less than 20 years old or more than 40
Alexus [3.1K]
The histogram is attached. Every column shows on the bottom the range of age and on the left the number of cars of that particular age.

In order to find the percentage of cars with less than 20 years or more than 40 years, you have to sum up the numbers of cars in the first two columns from left (age 0-9 and 10-19) and the last two (age 40-49 and 50-59).
The number of cars of requested age is: 3 + 2 + 0 + 3 = 8

Now, you need to calculate the total number of cars (sum the cars of every column): 3 + 2 + 8 + 4 + 0 + 3 = 20

Lastly, you need to calculate the ration between the cars of requested age and the total number of cars, and transform it into a percentage:
8 ÷ 20 = 0.40 = 40%

Therefore, your answer is 40%.


3 0
3 years ago
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