Caleb has a board that measures 10 feet in length. How many 1/3 foot-long pieces can Caleb from the board?

Fresh produce is delivered to a restaurant every four days. Every 6 days, the restaurant receives a delivery of a dried and cann

trapecia [35]

Answer:

12

Step-by-step explanation:

4,8,12

6,12

They both have 12 in common

3 0

3 years ago

Rewa Delta Union Rugby CEO has become concerned about the slow pace of the rugby games played in the current union rugby, fearin

ozzi

Answer:

We conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

Step-by-step explanation:

We are given that Before the meeting, the mean duration of the 15-sided rugby game time was 3 hours, 5 minutes, that is, 185 minutes.

A random sample of 36 of the 15-sided rugby games after the meeting showed a mean of 179 minutes with a standard deviation of 12 minutes.

Let $\mu$ = mean duration of 15-sided union rugby games after the meeting.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 185 minutes {means that the mean duration of 15-sided union rugby games has increased or remained same after the meeting}

Alternate Hypothesis, $H_A$ : $\mu$ < 185 minutes {means that the mean duration of 15-sided union rugby games has decreased after the meeting}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean duration of 15-sided union rugby games = 179 min

s = sample standard deviation = 12 minutes

n = sample of 15-sided rugby games = 36

So, the test statistics = $\frac{179-185}{\frac{12}{\sqrt{36} } }$ ~ $t_3_5$

= -3

The value of t test statistics is -3.

Now, at 1% significance level the t table gives critical value of -2.437 at 35 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of t as -3 < -2.437, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

6 0

3 years ago

On a blueprint, the scale indicates that 8 cm represent 16 feet. What is the length of a room that is 8.8 cm long and 3 cm wide

lana [24]

For the answer to the question above asking wWhat is the length of a room that is 8.8 cm long and 3 cm wide on the blueprint if a blueprint, the scale indicates that 8 cm represent 16 feet?
The room is 22.4 feet long

8cm=16ft
9.8cm=?ft

8cm 9.8cm
______=______
16ft x ft

Cross multiply
8x=156.8
divide both sides by 8
x=19.6 ft

4 0

3 years ago

Please help and show work!

sp2606 [1]

Answer:

x=50

Step-by-step explanation:

Because these angles are vertical, they are equal. Let’s find x.

$3x+12=162$