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3 years ago

Solve the equation and check your solution. (If there is no solution, enter NO SOLUTION.) (4x − 6) divided by (4x+3) = 2/3

Mathematics

1 answer:

iren [92.7K]3 years ago

8 0

$\frac{4x-6}{4x+3} = \frac{2}{3} \\ \\ 3(4x-6) = 2(4x+3) \\ \\ 12x - 18 = 8x +6 \\ \\ 4x = 24 \\ \\ x = 6$

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If 6 people share 1/2 of a cake, how much of the whole cake will each person get? Show your work.

Nimfa-mama [501]

Answer:

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Step-by-step explanation:

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then count all the total then each person gets 1 piece of the cake

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3 years ago

In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll

maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_x\ p^x(q)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

$P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5$

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

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3 years ago

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Step-by-step explanation:

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3 years ago

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Firlakuza [10]

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3 years ago

Read 2 more answers

A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet f

Pie

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°

6 0

3 years ago