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Zigmanuir [339]
3 years ago
12

The data set shows the numbers of hours students study the week before a test. Find and interpret the mean absolute deviation of

the data. Write your answer as a decimal. 1, 1, 1, 3, 4, 5, 6, 7, 8, 10 The data values differ from the mean by an average of hours.
Mathematics
1 answer:
tatiyna3 years ago
6 0

Answer:

4.6

Step-by-step explanation:

to find the mean, you add up all given numbers and divide by how many numbers is given. so if there are five numbers, you divide the sum of all of the numbers by five.

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Jashawn wants to make 5 airplanes. He needs 18 centimeters of wood for each propeller. How many centimeters of wood will he use.
Scilla [17]
He will use 90 centimeters of wood
6 0
3 years ago
What is the nth term rule of the linear sequence below?
butalik [34]

Answer:

( 3n-8)

Step-by-step explanation:

so the given sequence is AP

where common difference is +3

nth term for this AP will be

(-5)+(n-1).(3) = 3n-8

3 0
3 years ago
A flagpole sits on the top of a cliff that is 25 m above sea level. If the angle of elevation from a boat on the water to the to
OLEGan [10]

Answer:

3.2 m

Step-by-step explanation:

Let x be the distance between the cliff and the boat.

Since the cliff is 25 m above sea level and the distance between the boat and the height of the cliff are perpendicular, and the line of sight of the boat to the base of a cliff is 29 , these three form a right-angled triangle with hypotenuse side as the line of sight of the elevation of the boat to the base of the cliff.

So, using trigonometric ratios, tan29° = 25/x

x = 25 m/tan29° = 25 m/0.5543 = 45.1 m

Also, the line of sight of the top of the flagpole, the cliff and the distance between the boat and the cliff form a right-angled triangle with hypotenuse side as the line of sight of the top of the flagpole,

Now, the angle of elevation of the top of the flagpole from the top of the boat is 32°, we now find the angle opposite to x, the distance from the boat to the cliff.  

Since it is a right-angled triangle, thus one angle is 90° and the unknown angle is A.

So, 90° + 32° + A = 180° (sum of angles in a triangle)

122° + A = 180°

A = 180° - 122°

A = 58°

Let y be the length of the flagpole. In this same triangle, using the sine rule, with x being the side opposite A and 25 + y being the side opposite the 32° angle, where 25 + y = height of cliff + length of flagpole, then

x/sinA = (25 + y)/sin32°

25 + y = xsin32°/sinA

y =  xsin32°/sinA - 25

y = 45.1sin32°/sin58° - 25

y = 45.1 × 0.5299/0.8480 - 25

y = 45.1 × 0.6249 - 25

y =28.183 - 25

y = 3.183

y ≅ 3.2 m to one decimal place

6 0
2 years ago
Mr. Roseanne will buy 12 1/2 pounds beef for for a cookout. The price for the first 3 pounds of beef is $4.99 per pound. After t
Yuri [45]

Answer:

As per the statement:

Mr. Roseanne will buy 12\frac{1}{2} pounds beef for for a cookout.

⇒ Weight of the beef he buy = \frac{25}{2} pounds.

It is given that:

The price for the first 3 pounds of beef is $4.99 per pound.

then;

the price for 3 pounds he will pay= 3 \times 4.99 =\$ 14.97

After that, the price is $4.49 per pound.

Remaining weight of beef left  = \frac{25}{2} -3 = \frac{19}{2} pounds.

then;

the price of \frac{19}{2} pounds he will pay = \frac{19}{2} \times 4.49= \$42.655

now, total money he will pay for the 12\frac{1}{2} pounds beef = 14.97+42.655 = \$57.625

Therefore, $57.625 will Mr. Roseanne pay for the beef


4 0
3 years ago
Complementary and supplementary angles please answer please
kari74 [83]

Answer:

m<MON = 57

Hope this helps :)

3 0
3 years ago
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