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o-na [289]
3 years ago
14

What is x + 3 = 10??

Mathematics
2 answers:
bulgar [2K]3 years ago
7 0
X + 3 = 10
x + 3 - 3 = 10 - 3
x = 7
SOVA2 [1]3 years ago
7 0
The answer to your problem or question is x = to 7
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P(X< ) 1-P(X> ) 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
$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interes
Advocard [28]

Answer:

492.99

Step-by-step explanation: x = amount invested at 12%

y = amount invested at 9%

---

x + y = 20287

0.12x = 0.09y + 492.99

---

put the system of linear equations into standard form

---

x + y = 20287

0.12x - 0.09y = 492.99

5 0
2 years ago
Is the relationship between the number of movie tickets and the total cost of the tickets proportional?
almond37 [142]

Yes, the proportion is -6.

5 0
3 years ago
Evaluate the expression below when y = 3. If needed, answer as a fraction or a decimal.<br> y⋅5y+2
Anika [276]

Answer:

-10

Step-by-step explanation:

y-5y+2

=3-5 x 3+2

Using the rule of BODMAS

=3-15+2

=3-13

= -10

<h2><em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>
3 0
3 years ago
Robin and evelyn are playing a target game. the object of the game is to get an object as close to the center as possible. each
svetlana [45]
Here's some of the info

~<span>Evelyn has the greater mean.

~</span>Evelyn’s objects generally landed farther away from the center than Robin’s.<span>
~</span>The object is to get the objects close to the center, so Robin is winning.<span>
</span>
5 0
3 years ago
Read 2 more answers
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