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Ket [755]
3 years ago
15

A car travels 21 km in 16 minutes. What is its average speed in km/h?

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer:

78.6km/h

Step-by-step explanation:

<em><u>Speed=distance÷time</u></em>

<u>distance</u>=21km

<u>time</u>=16 minutes<u>(convert into hour by dividing it</u> <u>with 60)</u>

=16÷60=0.267

Speed=21÷0.267=78.65km/h

speed =  \frac{distance }{time}

speed =  \frac{21}{0.267}  = 78.6km(h

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Find the greatest common factor of the following polynomial: 14x + 4xy – 18xy2
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Answer:

b 2x

Step-by-step explanation:

4 0
2 years ago
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The computers of nine engineers at a certain company are to be replaced. Four of the engineers have selected laptops and the oth
Gala2k [10]

Answer:

(a) There are 70 different ways set up 4 computers out of 8.

(b) The probability that exactly three of the selected computers are desktops is 0.305.

(c) The probability that at least three of the selected computers are desktops is 0.401.

Step-by-step explanation:

Of the 9 new computers 4 are laptops and 5 are desktop.

Let X = a laptop is selected and Y = a desktop is selected.

The probability of selecting a laptop is = P(Laptop) = p_{X} = \frac{4}{9}

The probability of selecting a desktop is = P(Desktop) = p_{Y} = \frac{5}{9}

Then both X and Y follows Binomial distribution.

X\sim Bin(9, \frac{4}{9})\\ Y\sim Bin(9, \frac{5}{9})

The probability function of a binomial distribution is:

P(U=k)={n\choose k}\times(p)^{k}\times (1-p)^{n-k}

(a)

Combination is used to determine the number of ways to select <em>k</em> objects from <em>n</em> distinct objects without replacement.

It is denotes as: {n\choose k}=\frac{n!}{k!(n-k)!}

In this case 4 computers are to selected of 8 to be set up. Since there cannot be replacement, i.e. we cannot set up one computer twice or thrice, use combinations to determine the number of ways to set up 4 computers of 8.

The number of ways to set up 4 computers of 8 is:

{8\choose 4}=\frac{8!}{4!(8-4)!}\\=\frac{8!}{4!\times 4!} \\=70

Thus, there are 70 different ways set up 4 computers out of 8.

(b)

It is provided that 4 computers are randomly selected.

Compute the probability that exactly 3 of the 4 computers selected are desktops as follows:

P(Y=3)={4\choose 3}\times(\frac{5}{9})^{3}\times (1-\frac{5}{9})^{4-3}\\=4\times\frac{125}{729}\times\frac{4}{9}\\  =0.304832\\\approx0.305

Thus, the probability that exactly three of the selected computers are desktops is 0.305.

(c)

Compute the probability that of the 4 computers selected at least 3 are desktops as follows:

P(Y\geq 3)=1-P(Y

Thus, the probability that at least three of the selected computers are desktops is 0.401.

6 0
2 years ago
The graph shows the number of cases of bottles of water and the total number of bottles of water.
faltersainse [42]

Answer:

b = 24c

Step-by-step explanation:

6 0
2 years ago
How many g of amino acids are in a 2,000mL total parenteral nutrition of 4.25% travesol (amino acids and 20%dextrose?
kirill115 [55]

Answer:

The  mass of  amino acid present is  85 g

Step-by-step explanation:

From the question we are told that

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Generally the volume of the amino acid present is  

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Generally  

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So the mass of amino acid present is 85g

6 0
2 years ago
Find the number of terms in this polynomial 7b^7
shtirl [24]

Answer:

1

Step-by-step explanation:

The number of terms in the polynomial;

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The number of terms in this polynomial is simply 1

Since the two are together, they are treated as a single term in the polynomial.

Take for example a quadratic polynomial;

3x^2 + 2x + 1

This is a polynomial with 3 terms.

All multiplications are treated as a single unit.

This is the case in terms of what we have too

3 0
2 years ago
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