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1 year ago

Factorize ху + 3x +3y + 18

Mathematics

1 answer:

noname [10]1 year ago

3 0

Answer:

(x+6)(y+3)

Step-by-step explanation:

xy + 3x + 6y + 18
x(y + 3) + 6(y+3)
(x+6)(y+3)

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Miguel run faster than 19 of his teammates what percent of the team is slower than Miguel

nika2105 [10]

Answer:

he is faster than 95% of his team

Step-by-step explanation:

To finde this

First: Add Miguel to his 19 people equals 20 people

Next divide the 19/20

Providing the answer 0.95

to get the percentage multiply the decimal by 100: 0.95*100

= 95%

4 0

2 years ago

The population of a city is 45,000 and decreases 2% each year. If the trend continues, what will the population be after 15 year

Sloan [31]

The answer is 31,500.
Let's clarify some things :
1% of 45,000 is 450
Maybe you're wondering why , it's actually very simple .
Just move the decimal to the left once if you want to find 10% , move the decimal twice if you want to find 1%.
We now that 1% equals 450. Then 2% equals to....
Well just add another 1% .
450 + 450 or 450 times 2
Which equals 900.
Now we want to find what's the population after 15 years.
900 times 15= 13,500
But that's not the answer ....
That's what is decreasing.
45,000 - 13,500= 31,500
That's why the answer is 31,500.

4 0

2 years ago

A manufacturer of tires wants to advertise a mileage interval that ex-cludes no more than 10% of the mileage on tires he sells.

Sergio039 [100]

Answer:

This mileage interval is from 30120 miles and higher.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

All he knows is that, for a large number of tires tested, the mean mileage was 25,000 miles, and the standard deviation was 4000 miles. This means that $\mu = 25000, \sigma = 4000$ .

A manufacturer of tires wants to advertise a mileage interval that ex-cludes no more than 10% of the mileage on tires he sells. What interval wouldyou suggest?

The lower end of this interval is X when Z has a pvalue of 0.90. That is $Z = 1.28$ .

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 25000}{4000}$

$X - 25000 = 4000*1.28$

$X = 30120$

This mileage interval is from 30120 miles and higher.

7 0

2 years ago

A twelve inch candle and an 18 inch candle are lit at 6 pm. The 12-in. candle burns 0.5 inches every hour. The 18 inch candle bu

Greeley [361]

18 - 2t = 12 - 0.5t
6 = 1.5t
t = 6/1.5
t = 4 hours
time required to have the same height = 4hours
At what time ?
answer : at 10pm
-------------------
12inch candle lasts longer ..

3 0

2 years ago

A function has y-intercept of -2 and a slope of -1. which equation below describes the function?

ozzi

The correct equation should look something like this:
y= -1x - 2

Consider the equation for a line:
y = mx + b,
Where ‘m’ is the slope
Where ‘b’ is the y-intercept.

From there you can plug in your known values for ‘m’ and ‘b’, and get the equation above. If you are still not convinced, I suggest you graph the function and observe its slope and y-intercept.

Hope this helps!

8 0

2 years ago