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3 years ago

10

A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample informa

tion.Cups of Coffee Frequency0 7001 9002 6003 300 2,500Refer to Exhibit 5-7. The expected number of cups of coffee is:________.a. 1b. 1.2c. 1.5d. 1.7

1 answer:

MrMuchimi3 years ago

5 0

Answer:1.2c

Step-by-step explanation:

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11 = − 3k − 22 − 8k<br> K equals what?

butalik [34]

11 = -3k - 22 - 8k

11 = -11k - 22 <em>added like terms (-3k and -8k)</em>

<u>+22</u> <u> +22 </u>

33 = -11k

$\frac{33}{-11} = \frac{-11k}{-11}$

-3 = k

Answer: k = -3

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3 years ago

All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal

zlopas [31]

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

$relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18$

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

$4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62$

Finally the height of this new triangle is 3.62 cm

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3 years ago

The fifth grade students 15/20 went to the book fair of the students who went to the book fair 12/16 bought at least one book wh

grin007 [14]

Answer:

$\frac{9}{16}$

Step-by-step explanation:

Out of a total of 1, $\frac{15}{20}$ went to the fair and $\frac{12}{16}$ OF THOSE, bought atleast one book.

To find the fraction of students who bought at least one book, we will multiply both the fractions. That is the answer. Shown below:

$\frac{15}{20}*\frac{12}{16}\\=\frac{3}{4}*\frac{3}{4}\\=\frac{9}{16}$

Answer is $\frac{9}{16}$

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3 years ago

What is the missing reason in the proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABC ≅ ∠ABDdefinition of an

horsena [70]

For a better understanding of the solution provided here please find the relevant diagram drawn as per given information in the file attached.

As given, $\angle ABC=90^{\circ}$ . Also, it is given that $\angle DBC$ is a straight angle. Therefore, $\angle DBC=180^{\circ}$ .

As can be clearly seen from the diagram, if $\angle DBC=180^{\circ}$ and $\angle ABC=90^{\circ}$ , then:

$\angle ABD=\angle DBC-\angle ABC=180^{\circ}-90^{\circ}=90^{\circ}$

Therefore, $\angle ABD\cong\angle ABC$

Hence Proved.

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3 years ago

The ratio of golf balls to tennis balls in the coach’s bag is 20 to 5. If there are 100 golf balls in the bag, how many tennis b

UkoKoshka [18]

Answer:

25 tennis balls

Step-by-step explanation:

20/5 = 100/x

x = 25

5 0

2 years ago

Read 2 more answers