Which number line model represent 1 + -3?

A 165 inch pipe is cut into two pieces. One piece is four times the length of the other.Find the length of the shorter piece. Ho

coldgirl [10]

Answer:

Length of longer length=132 inches

Length of shorter length=33 inches

Step-by-step explanation:

Step 1: Determine total length of pipe

Total length of pipe=165 inches

Step 2: Derive expression for all the lengths

We can express all these lengths as follows;

L=l1+l2

where;

L=total length

l1=length of longer piece

l2=length of shorter piece

but;

length of longer piece=4×length of shorter piece

replacing;

l1=4l2

replacing;

L=165

l1=4×l2

165=l 2+4 l2

5 l2=165

l2=165/5

l2=33 inches

l1=length of longer length=33×4=132 inches

l2=length of shorter length=33 inches

4 0

3 years ago

Anne has a broken ruler. It starts at the 3-inch mark and ends at the 12-inch mark. Explain how Anne could use the ruler to meas

Alexandra [31]

She would start at the 3 inch mark and count from there.

6 0

3 years ago

Type 8,580 words in 2 hours 45 minutes

Inessa05 [86]

You would average 52 words a minute.

8580 / 165 (60 + 60 + 45) = 52

6 0

2 years ago

Which of the following is the algebraic form for the verbal statement shown: "12 more than the product 4 and a number, n" - A. n

katrin2010 [14]

If you mean “13 more than the product 4 and a number, n”
then the answer is B

the word product means multiply

and 12 more means adding 12 to the product

6 0

3 years ago

Read 2 more answers

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work i

USPshnik [31]

Answer:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 55, \pi = \frac{24}{55} = 0.4364$

93% confidence level

So $\alpha = 0.07$ , z is the value of Z that has a pvalue of $1 - \frac{0.07}{2} = 0.965$ , so $Z = 1.81$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4364 - 1.81\sqrt{\frac{0.4364*0.5636}{55}} = 0.3154$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4364 + 1.81\sqrt{\frac{0.4364*0.5636}{55}} = 0.5574$

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

8 0

3 years ago