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2 years ago

Explain how you can tell that 31/33 is in simplest form

Mathematics

2 answers:

Deffense [45]2 years ago

5 0

You cannot half 31 nor 33 anymore so it's in its simplest form. It can no longer divide to make it a lower number.

Varvara68 [4.7K]2 years ago

3 0

31/33 is in simplest form because both 31 and 33 do not have a common factor that be used to simplify.

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A warehouse worker moved 108 pallets in 4.5 hours. In minutes, what is the rate to move one pallet? The worker will be off the c

klasskru [66]

Number of pallets moved in 4.5 hours = 108

converting 4.5 hours in minutes we get,

4*60 + 0.5*60 = 240+30 = 270 minutes

So, 108 pallets were moved in = 270 minutes

1 pallet was moved in = $\frac{270}{108}=2.5$ minutes

As the tie will get over in 2 hours or 2*60 = 120 minutes, the number of pallets that can be moved will be = $\frac{120}{2.5}= 48$ pallets.

Hence, 48 pallets can be moved before quitting time.

6 0

3 years ago

Read 2 more answers

A student says that a correlation coefficient of −0.93 indicates that the two quantities of a data set have a weak correlation.

zloy xaker [14]

Answer:

Step-by-step explanation:

Recall that correlation coefficients range from -1 to +1. So, -0.93 is a strong negative relationship. Two interpretations: 1) the correlation is actually very strong, and 2) the correlation is negative. When the correlation is negative, the dependent variable DECREASES when the independent variable INCREASES.

8 0

2 years ago

Select the correct answer.

laila [671]

The answer is B, hope this helps

5 0

3 years ago

The ratio of the same side interior angles of two parallel lines is 33:3. Find the measures of all eight angles formed by the pa

zheka24 [161]

9514 1404 393

Answer:

all 4 acute angles: 15 degrees

all 4 obtuse angles: 165 degrees

Step-by-step explanation:

The sum of same-side interior angles between parallel lines is 180°. The smallest of them will be 3/(33+3) = 1/12 of 180°, or 15°. The largest will be 180° -15° = (33/3)(15°) = 165°. All remaining angles are congruent to one or the other of these.

All four acute angles are 15°; all four obtuse angles are 165°.

4 0

2 years ago

A sample of 1000 college students at NC State University were randomly selected for a survey. Among the survey participants, 102

cupoosta [38]

Answer:

The upper endpoint of the 99% confidence interval for population proportion is 0.13.

Step-by-step explanation:

The confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

<u>Given:</u>

<em>n</em> = 1000

$\hat p$ = 0.102

$z_{\alpha /2}=z_{0.01/2}=z_{0.005}=2.58$

*Use the standard normal table for the critical value.

Compute the 99% confidence interval for population proportion as follows:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.102\pm 2.58\times\sqrt{\frac{0.102(1-0.102)}{1000}}\\=0.102\pm0.0248\\=(0.0772, 0.1268)\\\approx (0.08, 0.13)$

Thus, the upper limit of the 99% confidence interval for population proportion is 0.13.

6 0

2 years ago