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Ilya [14]
3 years ago
8

What percentage is equivalent to 2/3

Mathematics
2 answers:
Masteriza [31]3 years ago
7 0
66.6% it has a reapiting number 6
Umnica [9.8K]3 years ago
5 0
The percent is 66.6% with the last 6 repeating
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A bank manager has developed a new system to reduce the time customers spend waiting for teller service during peak hours. The m
Lana71 [14]

Answer:

(a) <em>H₀</em>: <em>μ</em> = 10 vs. <em>Hₐ</em>: <em>μ</em> < 10.

(b) The level of significance is 0.05.

Step-by-step explanation:

A new system is used to reduce the time customers spend waiting for teller service during peak hours at a bank.

A single mean test can be used to determine whether the waiting time has reduced.

(a)

The hypothesis to test whether the new system is effective or not is:

<em>H₀</em>: The mean waiting time is 10 minutes, i.e. <em>μ</em> = 10.

<em>Hₐ</em>: The mean waiting time is less than 10 minutes, i.e. <em>μ</em> < 10.

(b)

The information provided is:

\bar x=9.5\\s=2.2\\n=70

Compute the test statistic value as follows:

t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{9.5-10}{2.2/\sqrt{70}}=-1.902

The test statistic value is <em>t</em> = -1.902.

Compute the <em>p</em>-value of the test as follows:

p-value=P(t_{n-1}

               =P(t_{69}1.902)\\=0.031

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level (<em>α</em>).

The <em>p</em>-value obtained is 0.031.

To reject the null hypothesis the value of <em>α</em> should be more than 0.031.

The most commonly used values of <em>α</em> are: 0.01, 0.05 and 0.10.

So, the least value of <em>α</em> at which we can conclude that the wait times have decreased is, <em>α</em> = 0.05.

Thus, the level of significance is 0.05.

6 0
3 years ago
How to solve 4+7*-5*-6
Fantom [35]

4 + 7 * -5 * -6

7 * -5 = -35

4 + -35 * -6

-35 * -6 = 210

4 + 210 = 214

4 + 7 * -5 * -6 = 214

4 0
3 years ago
Read 2 more answers
Which type of investment return can change the most from day to day?
Lorico [155]
Probably B mutual funds
7 0
2 years ago
Solve each equation for θ, where 0° &lt; θ &lt; 90°. Answer correct to the nearest minute.
Assoli18 [71]

Answer:

Below in bold.

Step-by-step explanation:

sin θ = 4 cos θ

Note that tan θ = sin θ / cos θ so we

Divide both sides by cosθ:

tan θ = 4

θ = 75.96

= 75 degrees 58 minutes.

5 0
2 years ago
On a standardized exam, the scores are normally distributed with a mean of 165 and astandard deviation of 40. Find the z-score o
vladimir1956 [14]

The Z-score is calculated by the formula below

\begin{gathered} z-score=\frac{(x-\mu)}{\sigma}_{} \\ \mu=\operatorname{mean} \\ \sigma=s\tan dard\text{ deviation} \\ x=\text{score} \end{gathered}

Step 2: Substitute the given parameters in the formula

\begin{gathered} z-\text{score}=\frac{145-165}{40} \\ Z=-\frac{20}{40} \\ Z=-\frac{1}{2} \\ Z=-0.5 \end{gathered}

Hence, the z-score of a person who scored 145 on the exam is -0.5

8 0
1 year ago
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