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Ghella [55]
3 years ago
10

Which expressions below equal a rational number? Choose all that apply.

Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0

Answer: A & D

Step-by-step explanation:

vladimir1956 [14]3 years ago
6 0

Answer:

All are rational numbers.

Step-by-step explanation:

A rational number can be written in the form:

\frac{a}{b}

where a and b are integers and b≠0.

We can rewrite 136 as

\frac{136}{1}

hence 136 is a rational number.

715-245=470....is an integer and hence a rational number.

(47)(217)=10199....which is an integer, and all integers are rational numbers.

\sqrt{100}  + 5 = 10 + 5 = 15

15 is also an integer and hence an integer.

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Their is no point for brainly if you need to sign in I don't wanna be mean tho
Nesterboy [21]

but it helps with homework and learning how to do stuff you dont know how to do

3 0
3 years ago
Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial.
Anna007 [38]

The correct expression is (a) n = 100; (x + 10)^2

<h3>How to determine the value of n?</h3>

The expression is given as:

x^2 + 20x + n

Take the coefficient of x

k = 20

Divide by 2

k/2= 10

Square both sides

(k/2)^2 = 100

The above value represents the value of n

i.e.

n = 100

So, we have:

x^2 + 20x + 100

Expand

x^2 + 10x + 10x + 100

Factorize

x(x + 10) + 10(x + 10)

Factor out x + 10

(x + 10)^2

Hence, the correct expression is (a) n = 100; (x + 10)^2

Read more about trinomial at:

brainly.com/question/1538726

#SPJ1

7 0
2 years ago
P(X&lt; ) 1-P(X&gt; ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball
Mashutka [201]

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 30, p = 0.626

So

\mu = E(X) = np = 30*0.626 = 18.78

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is P(X \leq 16 + 0.5) = P(X \leq 16.5), which is the pvalue of Z when X = 16.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{16.5 - 18.78}{2.65}

Z = -0.86

Z = -0.86 has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

7 0
3 years ago
Use the zero product property to find the solutions to the equation x^2 + x -30=12
Alla [95]

Answer:

The solutions are x = -7, 6.

Step-by-step explanation:

To find the solutions, move everything to one side of the equation so the equation is equal to 0. Then factor. Set the factors equal to 0 and solve for x.

x^2 + x - 30 = 12\\x^2 + x -42=0\\(x+7)(x-6) = 0

x+7 = 0

x = -7

and

x-6 = 0

x = 6

The solutions are x = -7, 6.

6 0
3 years ago
Read 2 more answers
Find the rate of change given the following solutions: (6, 2) and (1, 12).
blagie [28]

Answer:

The rate of change is -2

Step-by-step explanation:

f(b)-f(a)     12-2              10

---------- = ------------  = -------- = -2

 b-a         1-6               -5

7 0
3 years ago
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