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3 years ago

An accurate clock shows exactly 3 pm. In how many minutes will the minute hand catch up with the hour hand?

2 answers:

kondor19780726 [428]3 years ago

7 0

Hour: 3
Minute: 12

So about 3:17 to 3:18
3:17/18
Hour: 3, 1/4
Minute: 3, 1/4
3, 1/4 means it's on 3 and a quarter passed through :)

Ray Of Light [21]3 years ago

6 0

Roughly about 3:17 . Hope I helped!

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The area of Tracy's backyard is 1 1/3 acres she plants a garden that take up 1/3 of the backyard what area in acres of the garde

attashe74 [19]

Answer:

$\frac{4}{9}\ acres$

Step-by-step explanation:

step 1

we know that

The area of Tracy's backyard is $1\frac{1}{3}\ acres$

Convert to an improper fraction

$1\frac{1}{3}=\frac{3*1+1}{3}=\frac{4}{3}\ acres$

step 2

To find the area of the garden, multiply the area of the backyard by 1/3

$\frac{4}{3}(\frac{1}{3})=\frac{4}{9}\ acres$

3 0

2 years ago

Able, Ben and Cal each played a game able's score was six times ben's score, Cale score was a hird time of Able's score write do

Svetradugi [14.3K]

Answer:

Abel to Ben: 6

Abel to Carl: 3

Ben to Carl: 0.5

Step-by-step explanation:

First we formulate the problem in equations:

Abel = 6 * Ben

Cale = Abel / 3

If Cale's score is Abel's score over 3, so Abel's score is 3 times Cale's score.

If Abel's score is 6 times Ben's score, and 3 times Cale's score, then Cale's score is 2 times Ben's score (so Ben's score is 0.5 times Cale's score)

So, the ratio between all scores are the following:

Abel to Ben: 6

Abel to Carl: 3

Ben to Carl: 0.5

8 0

2 years ago

Read 2 more answers

Tan9 - tan27 - tan63 + tan 81 = ?

ludmilkaskok [199]

Tan9−tan27−tan63−tan81
tan9+tan81−tan27−tan63
sin9/cos9+sin81/cos81−sin27/cos27−sin63/cos63
sin90/cos81cos9−sin90/cos63cos27
1/sin9cos9−1/sin27cos27
2/sin18−2/sin54
(2)sin54−sin18/sin18sin54
4cos36sin18/sin18cos36=4

8 0

2 years ago

Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.

Genrish500 [490]

Answer:

Option C.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

8 0

2 years ago