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2 years ago

4). Machine “B” can pack 11 boxes per minute. The factory receives an

Mathematics

1 answer:

Elena L [17]2 years ago

6 0

Answer:

Amount of time would be greater than 95 minutes

Step-by-step explanation:

We are told that machine B can pack 11 boxes per minute.

Thus, this is 11x where x represents number of minutes.

We are told that the factory revives an order of over 1100 boxes and that it had already packed 55.

Thus,the inequality equation is;

11x + 55 > 1100

Solving this;

11x > 1100 - 55

11x > 1045

x > 1045/11

x > 95 minutes

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The manager of a local nightclub has recently surveyed a random sample of 280 customers of the club. She would now like to deter

Lunna [17]

Answer:

$z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007$

$p_v = P(z>2.007) = 0.0224$

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

Step-by-step explanation:

We have the following info given:

$\bar X = 35.6$ represent the sampel mean for the age of customers

$\sigma = 5$ represent the population standard deviation

$n = 280$ represent the sample size selected

We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:

Null hypothesis: $\mu \leq 35$

Alternative hypothesis $\mu >35$

The statistic for this case is given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing the data given we got:

$z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007$

We can calculate the p value since we are conducting a right tailed test like this:

$p_v = P(z>2.007) = 0.0224$

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

5 0

3 years ago

F(x) = x2 + 3 <br><br> Is it an even odd function, both or neither?

k0ka [10]

Seems to be an even function.

3 0

3 years ago

Read 2 more answers

2. Which is the following equation rewritten in slope-intercept form: -8x = 2 - 2y

Anna007 [38]

Answer:

B, y = 4x + 1

Step-by-step explanation:

to get it into y- intercept form we need to write it in the form y = mx + b

-8x = 2 - 2y, move 2y to the other side and -8x to the other side they both become positive.

2y = 8x + 2, dividing each by 2

yields y = 4x + 1

Hope this helps

8 0

2 years ago

In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses wer

Stella [2.4K]

Answer:

The number of houses built in Town B is 56.

Step-by-step explanation:

We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.

Also, 70 houses were built in Town A during 210.

Let the number of houses built in Town B be 'x'.

So, according to the question;

Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B

$70 = x + (25\% \times x)$

$70 = x(1+0.25)$

$x=\frac{70}{1.25}$

x = 56

Hence, the number of houses built in Town B is 56.

8 0

2 years ago

Find four consecutive odd integers such that 10 more than twice the least is equal to the sum of the third and fourth.

Lady bird [3.3K]

Consecutive odd numbers are 2 apart

they are
x,x+2,x+4,x+6

10+2x=x+4+x+6
10+2x=2x+10
x=x
true
any consecutive odd integers will work

1,3,5,7 works
3,5,7,9 works
etc

6 0

3 years ago