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Rzqust [24]
2 years ago
14

What is the rate of change: y=x+5

Mathematics
1 answer:
const2013 [10]2 years ago
4 0

Answer:

x or 1x.

Step-by-step explanation:

The rate of change is slope.

Slope=m

y=mx+b

y=<u>x</u>+5

x is the same thing as 1x. So...

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What percent of 150 is 9?
irga5000 [103]
One of the ways to find the answer is to find how much 1 percent of 150 is. To do that we just have to divide 150 by 100:

150 / 100 = 1.5

Now we can divide 9 by 1.5 to know how much percent of 150 it is:

9 / 1.5 = 6

Let's check it:

150 * 6% = 150 * 6/100 = 15 * 6/10 = 3 * 6/2 = 18/2 = 9

It's correct then :)
3 0
3 years ago
Question: solve for x. ​<br><br>please someone help!
Dominik [7]

by angle sum property of triangle,

70+60+(x+60)=180

=> 190 +x = 180

=> x = 180-190

=> x = -10

5 0
3 years ago
Two polygons are similar. The perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths is 3 4
Alisiya [41]

Answer:

Perimeter of the other polygon is 88 feet.

Step-by-step explanation:

We are given that, 'Two polygons are similar'.

Also, the perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths is \frac{3}{4}.

As, we know,

'If two polygons are similar, the ratio of their perimeters is equal to the ratio of their side lengths'.

Thus, we have,

Let, the perimeter of the other polygon = x feet.

\frac{3}{4}=\frac{66}{x}

i.e. x=\frac{66\times 4}{3}

i.e. x=\frac{264}{3}

i.e. x= 88 feet

Thus, the perimeter of the other polygon is 88 feet.

8 0
3 years ago
A subway has good service 70% of the time and runs less frequently 30% of the time because of signal problems. When there are si
nordsb [41]

Answer:

Step-by-step explanation:

Let GS denote the good service and SP denote the signal problem.

A subway has good service 70% of the time, that is, P(GS)=0.7 and a subway runs less  frequently 30% of the time because of the signal problems, that is, P(SP)=0.3.

If there are signal problems, the amount of time T in minutes that have to wait at the  platform is described by the probability density function given below:

P_{T|SP}(t)=0.1e^{0.1t}

If there is good service, the amount of time T in minutes that have to wait at the platform  is described the probability density function given below:

P_{T|GOOD}(t)=0.3e^{0.3t}

(a)

The probability that you wait at least 1 minute if there is good service  P(T ≥ 1| GS) is obtained  as follows:

P(T\geq 1|GS)=\int\limits^{\infty}_1 {0.3e^{-0.3t}} \, dt\\\\=0.3\int\limits^{\infty}_1 {e^{-0.3t}} \, dt\\\\=0.3[(\frac{e^{-0.3t}}{-0.3})]\\\\=-(e^{-0.3t})\limits^{\infty}_1\\\\=-(0-e^{-0.3})\\=0.74

(b)

The probability that you wait at least 1 minute if there is signal problems  P(T ≥ 1| SP) is obtained  as follows:

P(T\geq 1|SP)=\int\limits^{\infty}_1 {0.1e^{-0.1t}} \, dt\\\\=0.1\int\limits^{\infty}_1 {e^{-0.1t}} \, dt\\\\=0.1[(\frac{e^{-0.1t}}{-0.3})]\\\\=-(e^{-0.1t})\limits^{\infty}_1\\\\=-(e^{\infty}-e^{-0.1})\\=-(0-0.904)\\=0.904

(c)

After 1 minute of waiting on the platform, the train is having signal problems follows an

exponential distribution with parameter \lambda= 0.1

The probability that the train is having signal problems based on the fact that will be at  least 1 minute long is obtained using the result given below:

P(SP|T\geq 1)=\frac{P(T\geq 1|SP)P(SP)}{P(T\geq 1)}

P(T\geq 1|GS)=0.74, P(T\geq 1|SP)=0.904

Now calculate the P(T \geq 1) as follows:

P(T \geq 1)=P(T\geq 1|SP)P(SP)+P(T\geq 1|GS)P(GS)\\=(0.904)(0.3)+(0.74)(0.7)=0.7892

The probability that the train is having signal problems based on the fact that will be at  least 1 minute long is calculated as follows:

P(SP|T\geq 1)= \frac{0.904 \times 0.3}{0.7892}&#10;= 0.3436&#10;

Hence, the probability that the train is having signal problems based on the fact that will  be at least 1 minute long is 0.3436.

(d)

After 5 minutes of waiting on the platform, the train is having signal problems follows an  exponential distribution with parameter \lambda= 0.1.

The probability that the train is having signal problems based on the fact that will be at  least 5 minutes long is obtained using the result given below:

P(SP|T\geq 5)=\frac{P(T\geq 5|SP)P(SP)}{P(T\geq 5)}

First, calculate the P(T\geq 5|SP) as follows:

P(T\geq 5|SP)=\int\limits^{\infty}_5 {0.1e^{-0.1t}} \, dt\\\\=0.1\int\limits^{\infty}_5 {e^{-0.1t}} \, dt\\\\=0.1[(\frac{e^{-0.1t}}{-0.1})]\\\\=-(e^{-0.1t})\limits^{\infty}_5\\\\=-(e^{\infty}-e^{-0.5})\\=-(0-0.6065)\\=0.6065

Now, calculate the P (T\geq5|GS ) as follows:

P(T\geq 5|GS)=\int\limits^{\infty}_5 {0.3e^{-0.3t}} \, dt\\\\=0.3\int\limits^{\infty}_5 {e^{-0.3t}} \, dt\\\\=0.3[(\frac{e^{-0.3t}}{-0.3})]\\\\=-(e^{-0.3t})\limits^{\infty}_5\\\\=-(0-e^{-1.5})\\=0.2231

Now, calculate the P (T \geq 5) as follows:

P(T \geq 5)=P(T\geq 5|SP)P(SP)+P(T\geq 5|GS)P(GS)\\=(0.6065)(0.3)+(0.2231)(0.7)=0.3381

The probability that the train is having signal problems based on the fact that will be at  least 5 minutes long is calculated as follows:

P(SP|T\geq 5)= \frac{0.6065 \times 0.3}{0.3381}&#10;= 0.5381&#10;

Hence, the probability that the train is having signal problems based on the fact that will  be at least 1 minute long is 0.5381.

6 0
3 years ago
After 8 hours of snow, the temperature dropped by 16 degrees. What was the average change in temperature each hour while it was
jekas [21]

The weather dropped 2 degrees for every hour is snowed.

Hope this helps!

8 0
3 years ago
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