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3 years ago

There is a three-Legged

1 answer:

7 0

The 4 legged stool will rock. the 4 ends of the legs form a plane. they cannot sit on an uneven surface. the area they sit on must be planar. the 3 legged stool, however, can sit without rocking, because any 3 points define a plane entirely

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write the product of the expression 5^4 * 5^-7 using a positive exponent, then write the product using a negative exponent

pav-90 [236]

Answer with positive exponent = $\left(\frac{1}{5}\right)^3$ or $\frac{1}{5^3}$

Answer with negative exponent = $5^{-3}$

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Explanation:

The rule we use is

$a^b*a^c = a^{b+c}$

If we multiply two exponential expressions with the same base, then we add the exponents.

The base for each is 5. The exponents 4 and -7 add to -3.

This means

$5^4*5^{-7} = 5^{4+(-7)} = 5^{-3}$

To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.

So, $5^{-3} = \left(\frac{1}{5}\right)^3 = \frac{1^3}{5^3} = \frac{1}{5^3}$

3 0

2 years ago

ms.jones tooke her family to the movies. there were a total of 12 people. children tickets cost $5 and adults tickets cost $10.

solmaris [256]

Answer:

5 children

Step-by-step explanation:

7 adults = $70

5 children = $25

total= 12 people

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therefore 5 children went

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5 0

3 years ago

Read 2 more answers

The height of the Empire State Building is 1250 feet tall. Your friend, who is 75 inches tall, is standing nearby and casts a sh

Lyrx [107]

Answer:

The length of the building's shadow = 550.66 ft

Explanations:

The height of the Empie State Building = 1250 feet

The friend's height = 75 inches

The length of the friend's shadow = 33 inches

$\frac{Actual\text{ height of the friend}}{\text{Length of the friend's shadow}}=\text{ }\frac{Height\text{ of the building}}{\text{Length of the building's shadow}}$ $\begin{gathered} \frac{75}{33}=\text{ }\frac{1250}{\text{Length of the building's shadow}} \\ 2.27\text{ = }\frac{1250}{\text{Length of the building's shadow}} \\ \text{Length of the building's shadow = }\frac{1250}{2.27} \\ \text{Length of the building's shadow = }550.66\text{ f}et \end{gathered}$

6 0

1 year ago

In the exercise, X is a binomial variable with n = 5 and p = 0.2. Compute the given probability. Check your answer using technol

Ronch [10]

Answer:

0.0512

Step-by-step explanation:

We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.

The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x

In the above question,

x = 3

n = 5

p = probability for success = 0.2

q = probability for failures = 1 - 0.2 = 0.8

P(x) = (n!/(n - x) x!) × p^x × q ^n - x

P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3

P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²

P(3) = 10 × 0.008 × 0.64

P(3) = 0.0512

6 0

3 years ago

A ___ diagram can be represent set of relationship visually

ch4aika [34]

A Venn diagram can be represent set of relationship visually

3 0

3 years ago

Read 2 more answers