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3 years ago

11

Hannah can paint a room in 8 hours. Destiny can paint the same room in 6 hours. How long does it take for both Hannah and Destin

y to paint the room it they are working together?

1 answer:

Ksivusya [100]3 years ago

6 0

Answer:

3 hours 26 minutes

Step-by-step explanation:

1/8 + 1/6 = 1/t where t is the required time in hours.

Multiply through by 24t:-

3t + 4t = 24

7t = 24

t = 3 3/7 hours

or 3 hours 26 minutes to the nearest minute.

You might be interested in

Increase #500 in the ratio 16:10

Oxana [17]

Answer:

Answer is <em>900</em>.

Step-by-step explanation:

To find:

Increase #500 in the ratio 16:10

Solution:

<em>New Number: Old Number = 16:10</em>

We are given the old number as 500.

Let the new number after increase = $x$

Now, using the above ratio:

<em /> $x$ <em>: </em>500<em> = </em>16:10

$\dfrac{x}{500} = \dfrac{16}{10}\\\Rightarrow x = 500 \times \dfrac{16}{10}\\\Rightarrow x = 50 \times 16\\\Rightarrow x = 900$

Therefore, the increased value of 500 in the ration 16:10 is <em>900</em>.

3 0

3 years ago

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha

uranmaximum [27]

Answer:

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

0.933 = 93.3% probability that the second machine produces an acceptable cork.

The second machine is more likely to produce an acceptable cork.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

What is the probability that the first machine produces an acceptable cork?

The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that $\mu = 3, \sigma = 0.1$

Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.

X = 3.1

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.1 - 3}{0.1}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

X = 2.9

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.9 - 3}{0.1}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)

For the second machine, we have that $\mu = 3.04, \sigma = 0.04$ . Same probability we have to find out. So

X = 3.1

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.1 - 3.04}{0.04}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

X = 2.9

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.9 - 3.04}{0.04}$

$Z = -3.5$

$Z = -3.5$ has a pvalue of 0.0002

0.9332 - 0.0002 = 0.933

0.933 = 93.3% probability that the second machine produces an acceptable cork.

Which machine is more likely to produce an acceptable cork?

Second one has a higer probability, so it is more likely to produce an acceptable cork.

6 0

3 years ago

If an ant is is actually only 5.5mm in length, then what is the scale factor of this drawing?

Zarrin [17]

Answer:

D

Step-by-step explanation:

5 0

3 years ago

Find the distance between the endpoints (7,8) (4,2) A.10.8 B.2.2 C.6.7 D.14.9

Paha777 [63]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{6.7}}}}}$

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

Let A ( 7 , 8 ) be ( x₁ , y₁ ) and B ( 4 , 2 ) be ( x₂ , y₂ )

<u>Finding</u><u> </u><u>the</u><u> </u><u>distance</u><u> </u><u>between</u><u> </u><u>these</u><u> </u><u>points</u>

$\boxed{ \sf{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{ {(4 - 7)}^{2} + {(2 - 8)}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{ {( - 3)}^{2} + { (- 6)}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{9 + 36}}}$

$\dashrightarrow {\sf{ \sqrt{45} }}$

$\dashrightarrow{ \sf{6.7 \: \: units}}$

Hope I helped!

Best regards! :D

6 0

3 years ago

Which equation represents the relationship between the angles in this figure?

mrs_skeptik [129]

Answer:

Step-by-step explanation:

sum of angles on a straight line = 180

b + b + 148 = 180

2b + 148 = 180

3 0

3 years ago

Read 2 more answers