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Lyrx [107]
3 years ago
6

A study was conducted of the trend in the design of social robots. In a random sample of 113 social​ robots, 67 were built with

legs only​, 21 were built with wheels only​, 9 were built with both legs and wheels​, and 16 were built with neither legs nor wheels. Use the rule of complements to find the probability that a randomly selected social robot is designed with either legs or wheels or both.
Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0

Answer:

97/113

Step-by-step explanation:

67 robots have legs only, 21 have wheels only, and 9 have both legs and wheels.  The total number of robots with legs and/or wheels is 97.

The probability is 97/113.

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1. Name the triangle. Tell whether each angle is acute, right, or obtuse -------------------------------------------------------
gregori [183]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the figure of the 3 triangles is not given.

However, I'll give a general tip on how to identify the types of triangles.

1. Right-angled

When one of the three angles of the triangle is 90 degrees, then that triangle is a right-angled triangle

2. Acute triangle

When all the three angles of the triangle are less than 90 degrees, then that triangle is an acute triangle

3. Obtuse triangle

When one of the three angles of the triangle is greater than 90 degrees, then that triangle is an obtuse triangle.

<em>See attachment for illustration</em>

3 0
3 years ago
4. Your older brother takes you to your uncle's house for dinner. He drives 60 minutes at a constant speed of 42 miles
Tresset [83]

Answer:

i do not know the answer to your question

3 0
3 years ago
Solve for x.<br><br> 4x = <br> 3<br> 8
gayaneshka [121]

Answer:

Step-by-step explanation:

4x = 38

x= 38/ 4

x = 9 1/2

4 0
2 years ago
Factorise 5x 2 + 20x
pychu [463]

Answer:

5x^2 + 20x = 5x(x + 4)

Step-by-step explanation:

Here, we want to factorize;

5x^2 + 20x

To do this, we start by writing the common factors

The common actor that we can see which is in the form of the gcf of both is 5x

Thus, the factorization will be;

5x^2 + 20x = 5x( x + 4)

7 0
2 years ago
Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your
Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

D = \frac{72}{Interest Rate}

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

D = \frac{72}{9} = 8.

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

A = P(1 + \frac{r}{n})^{nt}

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

A = 2P

r = 0.09

The interest is compounded anually, so n = 1

A = P(1 + \frac{r}{n})^{nt}

2P = P(1 + \frac{0.09}{1})^{t}

2 = (1.09)^{t}

Now, we apply the following log propriety:

\log_{a} a^{n} = n

So:

\log_{1.09}(1.09)^{t} = \log_{1.09} 2

t = 8.04

The exact doubling time of this amount is 8.04 years.

4 0
3 years ago
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