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3 years ago

Find 1/9 as many as 3 divided by 5

Mathematics

1 answer:

kari74 [83]3 years ago

7 0

1/9 times 3/1 = 1/3. Now divide 1/3 by 5 or multiply by 1/5 and you get 1/15. There's your answer

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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) H₀: μ = 10 vs. Hₐ: μ < 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:

H₀: The mean waiting time is 10 minutes, i.e. μ = 10.

Hₐ: The mean waiting time is less than 10 minutes, i.e. μ < 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 t = -1.902.

Compute the p-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 p-value of the test is less than the significance level (α).

The p-value obtained is 0.031.

To reject the null hypothesis the value of α should be more than 0.031.

The most commonly used values of α are: 0.01, 0.05 and 0.10.

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

Thus, the level of significance is 0.05.

6 0

4 years ago

I need a math genius please

Oliga [24]

Answer:

How long is the [shirt] in the air? 3 seconds

How many seconds after launching is the t-shirt at 17 feet? 0.25 seconds

Step-by-step explanation:

Formula to represent the shirt's flight path (given): $h=-16t^2+vt+c$ , where $h$ is the height of the shirt, $v$ is the initial velocity of the shirt, $c$ is the shirt's starting height, and $t$ is elapsed time since launch.

The function forms a parabola concave down. Since the shirt is caught at 17 feet, we want to second x-coordinate of a point with a y-coordinate of 17 that the function passes through. This is because the shirt was caught going down, not up.

Therefore, let $h=17$ :

$17=-16t^2+52t+5,\\\\-16t^2+52t-12=0,\\\\ y= \frac{-52\pm\sqrt{52^2-4(-16)(-12)}}{2(-16)},\\\\y=\frac{1}{4},\boxed{y=3}$ .

The second x-coordinate is the larger of the two and therefore the shirt was in the air for 3 seconds.

However, the first time the shirt reaches a height of 17 feet is on its way up, which occurs at 1/4 or 0.25 seconds (the first x-coordinate). Therefore, the t-shirt reached a height of 17 feet 0.25 seconds after launching.

5 0

3 years ago

Please put down math for this! What is 5% of 200? put answer down bellow!

loris [4]

Answer:

Step-by-step explanation:

1. Find 5% of 200.

2. 5100×200.

3. =10.

4. so 5% of 200 will be 10.

4 0

3 years ago

Plz answer..........

Jobisdone [24]

Answer:

2210.6 $m^3$

Step-by-step explanation:

Volume of a cylinder is $\pi r^2h$

$V=(3.14)(8)^2(11)\\\\=(3.14)(64)(11)\\\\=2210.56$

they want to the nearest tenth, so ≈ 2210.6

6 0

3 years ago

In a recent poll 60% of the middle school preferred pizza for lunch on Friday 27% prefer tacos and 13% preferred hotdogs the mid

serious [3.7K]

Answer:

516 students preferred pizza

Step-by-step explanation:

To solve this problem we have to calculate 60% of the total students (860)

To get the percentage of a number we have to divide by 100 and then multiply by the number it indicates, in this case 60

860 %60 = 860 / 100 * 60

860 / 100 * 60 =

8.6 * 60 = 516

60% of 860 is 516

this means that for Friday lunches 516 students preferred pizza

5 0

3 years ago