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2 years ago

Select the correct answer

Mathematics

1 answer:

Sidana [21]2 years ago

3 0

Answer:

<em>In simplest form, 75% gives 3/4 as a fraction. </em>

<em>The percent sign means divide by 100, so 75% means 75/100.</em>

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Juanita is having a party at her house she is inviting 12 people.there will be 3 times as many boys as girls invited. let x repr

Margaret [11]

X + 3x = 12

(Or 4x=12)

the first x is the number of girls then the second x is the girls times 3, which is how many boys there are.

8 0

2 years ago

What is 7 billion in standard form?

zimovet [89]

If by standard from you mean numbers (123) and not words then

1 milllion=1000 thousand or 1000*1000 or 1,000,000
1 billion=1000 million=1000*1000*1000=1,000,000,000
so 7billion=7*1000*1000*1000=7,000,000,000

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2 years ago

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A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist

Dvinal [7]

Answer:

The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:

Negative slope.
Constant slope.

Decreasing function.

Step-by-step explanation:

We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.

Clearly from the graph we could that it is a linear function.

Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.

Also, we can calculate the slope of the line.

as the line is passing through (0,500) and (100,0)

Hence, the slope of line is:

$Slope=\dfrac{0-500}{100-0}\\\\Slope=\dfrac{-500}{100}\\\\Slope=-5$

Hence, the graph has a negative slope.

Also, we know that a slope of a line is always constant.

So, the correct statements are:

Negative slope.

Constant slope.

Decreasing function.

5 0

2 years ago

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Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w

pishuonlain [190]

Answer:

59 feet per second

Step-by-step explanation:

(40m)(5280ft)=211,200 ft/hr
(211,200 ft/hr )=(211,200ft/3600s)
58.7 ft/s

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2 years ago

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Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if:a) a

lara31 [8.8K]

Answer:

A) 0.0009765625

B) 0.0060466176

C) 2.7756 x 10^(-17)

Step-by-step explanation:

A) This problem follows a binomial distribution. The number of successes among a fixed number of trials is; n = 10

If a 0 bit and 1 bit are equally likely, then the probability to select in 1 bit is; p = 1/2 = 0.5

Now the definition of binomial probability is given by;

P(K = x) = C(n, k)•p^(k)•(1 - p)^(n - k)

Now, we want the definition of this probability at k = 10.

Thus;

P(x = 10) = C(10,10)•0.5^(10)•(1 - 0.5)^(10 - 10)

P(x = 10) = 0.0009765625

B) here we are given that p = 0.6 while n remains 10 and k = 10

Thus;

P(x = 10) = C(10,10)•0.6^(10)•(1 - 0.6)^(10 - 10)

P(x=10) = 0.0060466176

C) we are given that;

P((x_i) = 1) = 1/(2^(i))

Where i = 1,2,3.....,n

Now, the probability for the different bits is independent, so we can use multiplication rule for independent events which gives;

P(x = 10) = P((x_1) = 1)•P((x_2) = 1)•P((x_3) = 1)••P((x_4) = 1)•P((x_5) = 1)•P((x_6) = 1)•P((x_7) = 1)•P((x_8) = 1)•P((x_9) = 1)•P((x_10) = 1)

This gives;

P(x = 10) = [1/(2^(1))]•[1/(2^(2))]•[1/(2^(3))]•[1/(2^(4))]....•[1/(2^(10))]

This gives;

P(x = 10) = [1/(2^(55))]

P(x = 10) = 2.7756 x 10^(-17)

3 0

2 years ago