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Tems11 [23]
2 years ago
11

On a shelf at a gaming store, there are five Sony Playstations and three Nintendo Wii consoles left. If one gaming system is sel

ected at random, find the probability that the system is a Wii console.
Mathematics
2 answers:
blsea [12.9K]2 years ago
6 0

Answer:

3/8, or 37.5%

Step-by-step explanation:

There are 8 different playing devices there.

There are only 3 Nintendo Wii consoles.

So, the probability is 3/8

Tpy6a [65]2 years ago
5 0

Step-by-step explanation:

a probability is always desired cases over total possible cases.

so, we have actually 8 systems (5 + 3) we can pick from.

therefore, the total possible cases are 8.

the desired case is in this question to pick one of the 3 Wii consoles.

the probability to pick a Wii is therefore

3/8 = 0.375

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Simplify: 1/2n – 1/4n + 1/3a + 1/2a​
vova2212 [387]

Answer:

Step-by-step explanation:

make common denominators

2/4n - 1/4n + 2/6a + 3/6a

add common equations

1/4n + 5/6a

7 0
2 years ago
Evaluate squareroot of <br> 61.73²-38.27²
ladessa [460]

Answer:

<u>48.43552415324934</u>

Step-by-step explanation:

61.73²-38.27² = 2346

\sqrt{2346} = 48.43552415324934

4 0
1 year ago
A committee at the College Board has been asked to study the SAT math scores for students in Pennsylvania and Ohio. A sample of
ozzi

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis and the alternative hypothesis can be computed as:

H_0 :\mu_1 -\mu_2 = 0   (i.e. there is no difference between the SAT score for students in both locations)

H_1 :\mu_1 -\mu_2 \geq0 (i.e. there is a difference between the SAT score for students in both locations)

The test statistics using the students' t-test  for the two-samples; we have:

t = \dfrac{\overline x_1 -\overline x_2}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2} } }

t = \dfrac{580 -530}{\sqrt{\dfrac{105^2}{45}+\dfrac{114^2}{38} } }

t = \dfrac{50}{\sqrt{\dfrac{11025}{45}+\dfrac{12996}{38} } }

t = \dfrac{50}{\sqrt{245+342 } }

t = \dfrac{50}{\sqrt{587} }

t = \dfrac{50}{24.228}

t = 2.06

degree of freedom = (n_1 + n_2 ) -2

degree of freedom = (45+38) -2

degree of freedom = 81

Using the level of significance of 0.05

Since the test is two-tailed at the degree of freedom 81 and t = 2.06

The p-value  = 0.0426

Decision rule: To reject H_o  if the p-value is less than the significance level

Conclusion: We reject the H_o , thus, there is no sufficient evidence to conclude that there is a significant difference between the SAT math score for students in Pennsylvania and Ohio.

5 0
3 years ago
Solve for x! Please help!
erica [24]

Answer:

<h2>x = 12</h2>

Step-by-step explanation:

ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

\dfrac{AD}{DC}=\dfrac{DC}{DB}

We have AD = 16, DC = x, DB = 9. Substitute:

\dfrac{16}{x}=\dfrac{x}{9}            <em>cross multiply</em>

x^2=(16)(9)\to x=\sqrt{(16)(9)}\\\\x=\sqrt{16}\cdot\sqrt9\\\\x=4\cdot3\\\\x=12

3 0
3 years ago
A report includes a statement that the​ "average" test score of applicants to medical schools is 28.4. What is the role of the t
qaws [65]

Answer:

See explanation below.

Step-by-step explanation:

The average is measure of central tendency that is also called sample mean and is calculated from the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

This is an estimator of the population mean and is unbiased since the expected value for the estimator is the same parameter as we can see here:

E(\bar X)=\frac{\sum_{i=1}^n E(X_i)}{n} =\frac{n\mu}{n}=\mu

And is important because is the most common measure of central tendency reported on any study.

Is important to remember that this measure can be affected by outliers , for this case when we have outliers is better use the median as a measure of central tendency

7 0
3 years ago
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