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3 years ago

Solve the equation. Check your solution. 3x+4x-8=6 x= (Simplify your answer.)

Mathematics

1 answer:

KengaRu [80]3 years ago

6 0

Answer:

Step-by-step explanation:

Isolate x

3x + 4x - 8 = 6

+8 +8

3x + 4x = 6 + 8

Simplify

3x + 4x = 6 + 8

7x = 14

Divide both sides by 7

7x/7 = 14/7

x = 2

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4 years ago

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What is the area of each of the following rhombuses ?

MAVERICK [17]

Answer:

Area of rhombus is 105.84 cm².

Step-by-step explanation:

Area of rhombus is given by

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3 years ago

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What is the conditional frequency of a student who rides the bus being late to class first period?

Novosadov [1.4K]

Answer:

1/5

Step-by-step explanation:

The Constraint is ; those who rode the bus, hence it is conditional because we aren't focused on students, only students who rode the bus.

Now we want the frequency of those who were late Given that they rode the bus : for these we have 3 students

Total number of students who rode the bus , total possible outcome = 15

Hence, the conditional frequency = (number who rode bus and were late / otal number who rode the bus)

Hence, we have ; 3 / 15 = 1 / 5

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3 years ago

Use the binomial expression (p+q)^n to calculate a binomial distribution with n=5 and p=0.3.(Show all steps)

Helen [10]

Answer:

The binomial in expanded form is $(0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}$ .

Step-by-step explanation:

The Binomial Theorem states that a binomial of the form $(a + b)^{n}$ can be expanded by using the following identity:

$(a + b)^{n} = \Sigma \limits^{n}_{k = 0}\,\frac{n!}{k!\cdot (n-k)!}\cdot a^{n-k}\cdot b^{k}$ (1)

If we know that $a = p = 0.3$ and $n = 5$ , then the expanded form of the binomial is:

$(p+q)^{n} = \frac{243}{100000} + 5\cdot \left(\frac{81}{10000} \right)\cdot q + 10\cdot \left(\frac{27}{1000})\cdot q^{2} + 10\cdot \left(\frac{9}{100} \right)\cdot q^{3} + 5\cdot \left(\frac{3}{10} \right)\cdot q^{4} + q^{5}$

$(0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}$

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3 years ago

You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Sup

ELEN [110]

Answer:

You will need 50.54 liters of gas.

Step-by-step explanation:

This question is solved by proportions.

495km trip:

The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.

Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.

Number of gallons:

23.0 mi/gal.

So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.

How many liters?

Each gallon has 3.78 liters.

So 13.37 gallons will have 13.37*3.78 = 50.54 liters.

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3 years ago

Solve the equation. Check your solution. 3x+4x-8=6 x= ​(Simplify your​ answer.)

Solve the equation. Check your solution. 3x+4x-8=6 x= (Simplify your answer.)