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3 years ago

Need help plz help me out thanks!

Mathematics

2 answers:

Elden [556K]3 years ago

6 0

Answer:

I hope this helps!

Step-by-step explanation:

3y(5x+3)=15yx+9y

2y(2x+3)=4yx+6y

4y(x+2)=4yx+8y

3y(7x+2)=21yx+6y

Elina [12.6K]3 years ago

5 0

Answer:

1. 15xy + 9y

2. 4xy + 6y

3. 4xy + 8y

4. 21xy + 6y

Step-by-step explanation:

You just have to expand it:

3y(5x+3)

= 3y(5x) + 3y(3)

= 15xy + 9y

2y(2x+3)

= 2y(2x) + 2y(3)

= 4xy + 6y

4y(x+2)

= 4y(x) + 4y(2)

= 4xy + 8y

3y(7x+2)

= 3y(7x) + 3y(2)

= 21xy + 6y

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Need to show my work

dalvyx [7]

Answer:

$\large\boxed{x=\dfrac{5}{4},\ y=\dfrac{15}{16}}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\\dfrac{5}{2}x+2\left(\dfrac{3}{4}x\right)=5\\\\\dfrac{5}{2}x+\dfrac{3}{2}x=5\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\4x=5\qquad\text{divide both sides by 4}\\\\x=\dfrac{5}{4}$

$\text{Put the value of}\ x\ \text{to (1)}\\\\y=\dfrac{3}{4}\cdot\dfrac{5}{4}\\\\y=\dfrac{15}{16}$

4 0

3 years ago

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The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 78% males and 22% females. The agency

choli [55]

Answer:

a) 0.98% probability that 17 of the 29 people are men.

b) 3.86% probability that the first woman is reached on the 8th call

Step-by-step explanation:

For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

(a) What is the probability that 17 of the 29 people are men?

This is P(X = 17) when $n = 29, p = 0.78$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 17) = C_{29,17}.(0.78)^{17}.(0.22)^{12} = 0.0098$

0.98% probability that 17 of the 29 people are men.

(b) What is the probability that the first woman is reached on the 8th call?

On the first 7 trials, all men, each with a 78% probability.

On the 8th trial, a women, with a 22% probability. So

$P = (0.78)^{7}*0.22 = 0.0386$

3.86% probability that the first woman is reached on the 8th call

4 0

3 years ago

A telephone poll asked people whether they like playing golf. 120 people said they like playing golf and 630 people said they do

Paladinen [302]

First we need to know how many people were asked - 120 + 630 = 750 people
Now we make fractions - 120/750 and 630/750
Divide the fractions - 120/750 = 0.16 and 630/750 = 0.84
Multiply the results by 100 so we can get the percentage - 0.16 x 100 = 16% and 0.84 x 100 = 84%

The percentage of people that like playing golf is 16%.

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3 years ago

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A shop sells 3 different types of tea

lys-0071 [83]

Answer:

The cheapest is the Kenyan tea which costs £1.05 for each 100g.

Step-by-step explanation:

200 g of Kenyan tea costs £2.10

1. Calculate the rate of each gram, by dividing 2.10/200

0.0105 x 100 = £1.05 for each 100g

300 g of Columbian tea costs £3.45

1. Calculate the rate of each gram, by dividing 3.45/300

0.0115 x 100 = £1.15 for each 100g

1. Calculate the rate of each gram, by dividing 1.70/150

150 g of Indian tea costs £1.70

0.01133333333 x 100 = £1.133333333 for each 100g

B) The cheapest is the Kenyan tea which costs £1.05 for each 100g.

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3 years ago

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