What is the area of a triangle with a base of 27 mm and a height of 10 mm?

Solve for x (-7/6)x-6= -48 a36 b49 c-36 d-49

Marta_Voda [28]

Answer:

-7x/6-6=-48

-7x-36=-288

-7x=-288+36

x=-252/-7

x=36 answer

5 0

3 years ago

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1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth

ArbitrLikvidat [17]

Answer:

a) Length= (x+2) and breadth=(x-1) b) 4 m^2 c) R1000

6 0

2 years ago

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The results of a swim meet are shown. Who swam the fastest? Explain your reasoning.

kobusy [5.1K]

Answer : The Susana swam the fastest.

Step-by-step explanation :

Speed : It is defined as the distance traveled per unit time.

Formula used :

$Speed=\frac{Distance}{Time}$

First we have to determine speed of the following persons.

For Tawni :

Distance = 50 m

Time = 40.8 s

$Speed=\frac{Distance}{Time}=\frac{50m}{40.8s}=1.225m/s$

The speed of Tawni is, 1.225 m/s

For Pepita :

Distance = 100 m

Time = 60.2 s

$Speed=\frac{Distance}{Time}=\frac{100m}{60.2s}=1.661m/s$

The speed of Pepita is, 1.661 m/s

For Susana :

Distance = 200 m

Time = 112.4 s

$Speed=\frac{Distance}{Time}=\frac{200m}{112.4s}=1.779m/s$

The speed of Susana is, 1.779 m/s

From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.

Thus, Susana swam the fastest.

6 0

2 years ago

Lana runs a business where she fixes bikes. She charges $15.75 per hour for her labor as well as a $25 flat fee for any parts sh

Masja [62]

Answer:

y = 15.75x + 25 is the linear equation

$88 would be the total cost

Step-by-step explanation:

First, create the equation using y = mx + b, where x is the number of hours:

y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25

There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:

y = 15.75x + 25

Plug in 4 as x:

y = 15.75(4) + 25

y = 63 + 25

y = 88

So, the total cost would be $88

8 0

2 years ago

g You are planning an opinion study and are considering taking an SRS of either 200 or 600 people. Explain how the sampling dist

Katen [24]

Answer:

By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sampling distribution of size n of a sample proportion p, the mean is p and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

Differences between SRS of 200 and of 600

By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.

6 0

3 years ago