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3 years ago

6

a cow is tied to a pole fixed at the mid-point of a side of a square field of side 40m by means of a 14m long rope find the area

that cow can graze pls explain

1 answer:

svp [43]3 years ago

4 0

Step-by-step explanation:

The area that cow can graze is in the form of semicircle.

Radius of semicircle

Length of rope =14 m

Required area = 1/2 ×πr

=1/2×22/7×r^2

=1/2×22/7×14×14

=308m2

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The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation

mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = $\mu = 69$

Standard deviation = $\sigma = 7$

Formula : $z=\frac{x-\mu}{\sigma}$

Now At x = 55

$z=\frac{55-69}{7}$

$z=-2$

At x = 76

$z=\frac{76-69}{7}$

$z=1$

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = $0.8185 \times 100 = 81.85\%$

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0

3 years ago

An Article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the

Sergio039 [100]

Answer:

The estimate is $P__{hat}} \pm E = 0.37 \pm 0.0348$

Step-by-step explanation:

From the question we are told that

The sample size is n = 522

The sample proportion of students would like to talk about school is $\r p__{hat}} = 0.37$

Given that the confidence level is 90 % then the level of significance can be mathematically evaluated as

$\alpha = 100 - 90$

$\alpha = 10\%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.10}{2} } = 1.645$

Generally the margin of error can be mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r P_{hat}(1- \r P_{hat} )}{n } }$

=> $E = 1.645 * \sqrt{\frac{0.37 (1- 0.37 )}{522 } }$

=> $E = 0.0348$

Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is

$P__{hat}} \pm E$

substituting values

$0.37 \pm 0.0348$

5 0

3 years ago

Please help me I only have one more question, Thank you! - Alyssa

lesya692 [45]

<span>the answer will have to be the second choice cause it seems more correct</span>

7 0

3 years ago

HEY GUYS PLEASE HELP ME ANYONE I MEAN ANYONE WHOO EXPLAINS WELL AND NOT FOR THE POINTS WILL BE MARKED AS BRAINLIEST .SOLVE EACH

cupoosta [38]

-4x + 6y = 12
x + 2y = -10

First solve for x in the second equation

x + 2y = -10
x = -10 - 2y

Now we have a value for x so we can substitute it into the other equation

-4 (-10 - 2y) + 6y = 12

Now solve for y

40 + 8y + 6y = 12
40 + 14y = 12
14y = -28
y = -2

Now we have a value for y that we can plug into one of the original equations so we can solve for x

x + 2y = -10
x + 2(-2) = -10
x - 4 = -10
x = -6

Your solution set is

(-6, -2)

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3 years ago

2,750 milliliters into gallons.

yan [13]

Answer:

2,750 milliliters into gallons=0.72647314

Step-by-step explanation:

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2 years ago

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