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3 years ago

Please answer question if wrong reported!

Mathematics

1 answer:

ivann1987 [24]3 years ago

3 0

1. Range = 4

2. Total Students = 30

3. Mean = 7.8

Step-by-step explanation:

1. Range

Let us define range first

Range is the difference between the largest and smallest value in a data set

so,

in the given data,

The greatest marks are 10 and smallest are 6.

Range = Largest Value - Smallest Value

= 10-6

2. Total students

To find the total students we will add all the frequencies

So,

$Total\ Students=5+4+7+10+4=30$

Total students are 30

3. Mean:

The mean is given by:

$Mean = \frac{Sum\ of\\ values}{No.\ of\ values}$

In case of frequency table in the given form, the frequency is multiplies with the data value $Mean = \frac{(6)(5)+(7)(4)+(8)(7)+(9)(10)+(10)(4)}{30}\\=\frac{30+28+56+90+40}{30}\\=\frac{234}{30}\\=7.8$

Hence,

1. Range = 4

2. Total Students = 30

3. Mean = 7.8

Keywords: Mean, Range

Learn more about mean at:

#LearnwithBrainly

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Please help as soon as possible

trapecia [35]

The correct choices are:

The slope is positive.
Each additional hat produced results in a cost increase of $0.60.
Before producing any hats, the manufacturing costs are about $100.00.

Explanation
We know the slope is positive, since the data increases every time.

We find the slope using the formula
m=(y₂-y₁)/(x₂-x₁)
m=(111-105)/(20-10) = 6/10 = 0.6

This means the slope is $0.60. This means that each additional hat manufactured results in an additional cost of $0.60.

We can write an equation to use in order to find the cost associated with any number of hats produced. We will use point-slope form:
y-y₁=m(x-x₁)
y-105=0.6(x-10)

Using the distributive property,
y-105=0.6*x-0.6*10
y-105=0.6x-6

Add 105 to both sides:
y-105+105=0.6x-6+105
y=0.6x+99

To find the cost before producing any hats, we use 0 for x:
y=0.6(0)+99=0+99=99
This means the manufacturing cost before any hats are produced is almost $100.

5 0

3 years ago

5.88 pts

Eduardwww [97]

Answer:

18 ft

Step-by-step explanation:

Similar triangles are proportional

Ratio of vertical legs = Ratio of base legs

x/6 = 12/4

multiply both sides by

x = 12/4 * 6

x = 18 ft

3 0

3 years ago

Can someone help me...........

Natalija [7]

the correct answer is B to

7 0

3 years ago

Read 2 more answers

Plz help before 11:59 i will mark brainliest

Sloan [31]

Answer:

1. 140 sq. in.

2. 2.25 sq. in.

3. 179.75 sq. in.

4. 55 sq. in.

5. 377 sq. in. (without the entrance hole), 374.75 sq. in. (with the entrance hole)

Step-by-step explanation:

1. The area of a triangle is bh/2, or (base x height) divided by 2. Given the base, 10, and the height, 7, you can then find the answer to be 35 square inches for one triangle. Since there are four triangles, multiply 35 by 4, and your final answer is 140 square inches.

2. The entrance hole is a square, so you can multiply the two sides to get the area. In this case it is 1.5 x 1.5, so the area is 2.25.

3. To find the area of an isosceles trapezoid, the formula is (h(b1 + b2))/2. The height is 7, base 1 is 8, and base 2 is 5. Do the math and you get 45.5 square inches. There are four isosceles trapezoids, so multiply that number by 4 and you get 182. BUT REMEMBER that you cut out a space for the entrance, and that space ended up being 2.25 sq in, so subtract that from 182 and that is your final answer (179.75 sq in).

4. The base is made of four rectangles and a square, so let's find the rectangle first. The first side, 1.5, times the second side, 5. That's 7.5 sq in. Remember there are four rectangles, so multiply 7.5 times 4 (the answer is 30). Next the square. Multiply the sides (5 x 5) and since there's only one square, your answer for that is 25. Now combine the two answers together and that's the area of the material needed for the base (55 sq in).

5. Add all the values you calculated together, and that's your final answer!

Hope this helps, correct me if I was wrong on anything!

6 0

3 years ago

(50 POINTS) Bob is standing 25 feet from a lamppost that is to his left and 30 feet from a lamppost that is to his right. The di

Pavel [41]

Let

point A----------------- > Bob

point B----------------- > lamppost that is to Bob left

point C----------------- > lamppost that is to Bob right

we know that

dAB=25 ft

dAC=30 ft

dBC=20 ft

see the attached figure

we use the law of cosines------------- > dBC²=dAB² +dAC² -2(dAB)(dAC)cos(alfa)

we have that

20²=25² +30² -2(25)(30)cos(alfa)-------- > cos (alfa)=(20²-(25² +30²))/(-2*25*30)

cos (alfa)=(400-(625 +900))/(-1500)= (400-(625 +900))/(-1500)=1125/1500=0.75

alfa=arccos (0.75)= 41.4096 -------- > 41 °-------- > ∡ BAC

the answer is 41 °

8 0

3 years ago

Read 2 more answers