7. Find the area of this trapezoid. Area =
square units. Round to the nearest whole number

1: 84
2: 119
3: 240
4: 168

Answer: 35/132

Step-by-step explanation:

probability of drawing green marble: 7/12

since the green marble drawn won't be returned to the box, the new total amount of marbles in the box is 11.

probability of red marble: 5/11

then multiply the 7/12 and 5/11 together:

35/132 which is abut 26.5%

Answer:

41 degrees

Step-by-step explanation:

All three angles in a triangle must add up to 180 degrees. The picture already tells you that B is 63 degrees. This means A and C should both add up 117 degrees. If A is 2x+8 and B is x+7, then A+B is 3x+15. This means that 3x+15 is equal to 117 degrees.

Now that we know that x is 34, we plug it in. X + 7 becomes 34 + 7 degrees which is equal to 41 degrees.

The question is incomplete. The complete question is :

Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours  of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.

Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?

Solution :

The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.

These variables are the grade point average of the students and the numbers of hours of sleep.

Answer:

Given rhombus ABCD with

Properties of a rhombus:

Solution, considering the above properties

Answer:

1) D. [tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

2) E. The coefficient of [tex]x[/tex] is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form [tex]p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex], where [tex]n[/tex] is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

[tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

Correct answer: D

2) Let [tex]p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)[/tex], we proceed to expand the expression by algebraic means:

[tex]p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)[/tex]

[tex]p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4[/tex]

We see that coefficients for [tex]x^{2}[/tex] and [tex]x[/tex] are -16 and 0, respectively. Hence, the incorrect answer is E.

Answer:

0.138 students per bought

Step-by-step explanation:

Answer:

AB/CΔ=BC/ΔE   {similar triangles}

[tex]2/4=2/4[/tex]

[tex]1/2=1/2\\[/tex]

so numeric value= 1/2

---------------------------------

hope it helps....

have a great day!!

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

Answer:

4 rows and 4 columns

Step-by-step explanation:

Given

16 same sized squares

Required

Determine the number of rows and columns

Since the shape formed is a square, then the following relationships exist:

[tex]Row * Column = 16[/tex]

[tex]Row = Column[/tex]

[tex]Row * Column = 16[/tex] can then be rewritten as:

[tex]Row * Row = 16[/tex]

[tex]Row^2 = 16[/tex]

Take square roots of both sides

[tex]Row = \sqrt{16[/tex]

[tex]Row = 4[/tex]

[tex]Row = Column[/tex] implies that:

[tex]Row = Column = 4[/tex]

Answer:

330

Step-by-step explanation:

Answer:

The probability of them picking granola is 1/3

The probability of them choosing juice is 1/4

Step-by-step explanation:

Hope it helps :)

Answer:

in decimal form it is 8.25

Answer:

x = 19

Step-by-step explanation:

Here, we want to find the value of x

To get this, we use one of the important circle theorems. This is the theorem of secant segments

We have this that;

8(8 + x)= 9(9 + 15)

64 + 8x = 216

8x =

216-64

8x = 152

x =

152/8

x = 19

Answer:

The radius of Cylinder A measures 7 feet.

The radius of Cylinder B measures 2.8 feet.

Step-by-step explanation:

The radius of Cylinder A measures 7 feet.

because the radious is half of the diameter and 14 is the diameter

The radius of Cylinder B measures 2.8 feet.

Answer:

Cylinder A's radius is 7 because the radius is diameter divided by 2.

Cylinder B's radius is 2.8 because the height of Cylinder A is 5 times bigger than Cylinder B's height.

Step-by-step explanation:

Answer: x=-3 can you mark me brainlyest thanks

Step-by-step explanation:

3(x-6)=2x(x+3)

3x-18=3x+6x

3x-18=9x

-3x      -3x

-18=6x

__   __

6      6

x=-3

The requried most appropriate domain for the function P(h) would be the set of all non-negative real numbers. The domain is b, all positive real numbers.

The domain is defined is a set of values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

The function P(h) = 2h - 15 represents the profit a company makes selling h hot dogs. In general, the domain of a function represents the set of all possible input values for which the function is defined.

In this case, the function can be defined for any non-negative value of h, since the company can sell any number of hot dogs, including zero. However, the function may not be defined for negative values of h, since it does not make sense to talk about selling a negative number of hot dogs.

Learn more about the domain here:
https://brainly.com/question/28135761
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Answer:

Step-by-step explanation:

Option C is the correct answer

Answer:

Tom will need 42 bags of seed.

Step-by-step explanation:

The area of Tom's yard is 630 square feet.

Divide the area (630) by the amount of area that each bag of seed covers (15)

630 divided by 15 is 42. So, Tom will need to use 42 bags of seed to cover his whole yard.

Answer:

Step-by-step explanation:

-3/8, - 3/4, - 3, - 2. 5, 1/4, 8/5 3.1, 6

Answer:

no 12,5,12

Step-by-step explanation:

Answer  c would be the answer hope it helps

Step-by-step ex planation:

Answer:

73

Step-by-step explanation:

13+15(4) = 73

Answer:

$240

Step-by-step explanation:

Given data

Principal= $300

Rate= 10%

Time= 8 years

We know that the expression for the simple interest is given as

SI= PRT/100

Substitute

SI= 300*10*8/100

SI= 24000/100

SI= $240

Hence the interest is $240

Answer:

its 5.795

Step-by-step explanation:

Answer:

5.790

Step-by-step explanation:

all zeos at the top

Answer:

11 units

Step-by-step explanation:

Answer:

10?

Step-by-step explanation:

The x variable is for the number of books she buys to read so when x is 0!the cost would be what she paid for the reader.

The answer is B. The cost of the reader

Answer:

i think is either the first one or the last one.

i think it's one of those

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

64+42=106

180-106=74

Answer:

57in

Step-by-step explanation:

20 + 37 = 57in