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3 years ago

A fisherman catches an average of 6 fish every 2 hours.

Mathematics

1 answer:

Ket [755]3 years ago

4 0

Answer:

63 fish

Step-by-step explanation:

To find how many fish are caught in an hour, you will need to divide 6 by 2 to get 3 fish every hour. Finally, you need to multiply 3 by 21 to get the total fish caught, which is 63.

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Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that

9966 [12]

Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

Step(i):-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

Null Hypothesis (H₀) : P=0.24

Alternative Hypothesis (H₁) : P≠ 0.24

Step(ii):-

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }$

|Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

7 0

2 years ago

The parallelogram shown below has an area of 35 units2.

sleet_krkn [62]

The height is 5 becuase if the area is 35 that means the length is 7 so you would divide and get 5

6 0

3 years ago

What is the equation of this graphed line?

barxatty [35]

Answer:

$y=-\frac{1}{3}x-5$

Step-by-step explanation:

Given:

The two points on the line are:

$(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)$

Now, for a line with two points on it, the slope of the line is given as:

$m=\frac{y_2-y_1}{x_2-x_1}$

For the points $(x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7)$ , slope is:

$m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}$

Now, for a line with slope 'm' and a point $(x_1,y_1)$ on it is given as:

$y-y_1=m(x-x_1)$

Plug in all the values and determine the equation of the line. This gives,

$y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5$

Therefore, the equation of the line is:

$y=-\frac{1}{3}x-5$

4 0

3 years ago

Solve each equation. 1. 25 - 3x = 40 2. } (x – 10) = -4

nordsb [41]

Step-by-step explanation:

For no 1

25 - 3x = 40 

- 3x = 40 - 25 

- 3x = 15 

 - x = 15 / 3

Therefore x = - 5 

Now for no. 2

1/3 ( x - 10) = - 4 

( x - 10 ) = - 12 

x = - 12 + 10

Therefore x = - 2 

Hope it will help :)

6 0

3 years ago

Read 2 more answers

The box plots show the data distributions for the number of customers who used a coupon each hour for two days of a store sale.

lidiya [134]

Answer:

Step-by-step explanation:

We can observe from the box plot the medians of both days.

The line in the middle of the box plot represents the median.

The median for Day 1 is: 6

The median for Day 2 is: 8

We have to find the difference between medians of both box plots so the difference is:

8 - 6 = 2

The difference between the medians is 2 ..

4 0

2 years ago

Read 2 more answers