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3 years ago

Dhalia rolls a number cube that has sides labeled 1 to 6 and then flips a coin. What is

1 answer:

7 0

The probability she lands on an even number is 3/6 which also equals 1/2. the probability of landing on heads is also 1/2. now multiply 1/2 by 1/2. 0.25 or 1/4 would be your answer

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Of the 35 students in my class, 11 practice karate, 11 play piano, and 20 take math lessons. $ students play piano and go to mat

Andrews [41]

There are twenty four students that do all

4 0

3 years ago

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In the figure below, points M, P, H, J, and K lie in plane Z.

marishachu [46]

Answers:

(a) LN
(b) PHJ
(c) K
(d) HK

===================================================

Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

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Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

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Part (c)

Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K

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Part (d)

Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.

We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.

Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.

4 0

3 years ago

Please help Right answers only!!!

sesenic [268]

To find a slope we have to use this equation:
(y2 - y1 )/(x2 - x1)
and we have two x's and y's
so we will put them in their places....so (1-(-5))/(4-2)
and we will get 6/2 which is 3
Its A.3
.............

5 0

3 years ago

6.5x-10=4.5x+6 can someone give a step by step answer plz

Trava [24]

Collect like terms
6.5x-4.5x = 6+10
2x = 6+10
Divide both sides
2x = 16
X= 8

7 0

3 years ago

Read 2 more answers

How can knowing how to represent proportional relationships in different ways be useful to solving problems

Anna35 [415]

Answer:

appropriately writing the proportion can reduce or eliminate steps required to solve it

Step-by-step explanation:

The proportion ...

$\dfrac{A}{B}=\dfrac{C}{D}$

is equivalent to the equation obtained by "cross-multiplying:"

AD = BC

This equation can be written as proportions in 3 other ways:

$\dfrac{B}{A}=\dfrac{D}{C}\qquad\dfrac{A}{C}=\dfrac{B}{D}\qquad\dfrac{C}{A}=\dfrac{D}{B}$

Effectively, the proportion can be written upside-down and sideways, as long as the corresponding parts are kept in the same order.

I find this most useful to ...

a) put the unknown quantity in the numerator

b) give that unknown quantity a denominator of 1, if possible.

The usual method recommended for solving proportions is to form the cross-product, as above, then divide by the coefficient of the variable. If the variable is already in the numerator, you can simply multiply the proportion by its denominator.

<u>Example</u>:

x/4 = 3/2

Usual method:

2x = 4·3

x = 12/2 = 6

Multiplying by the denominator:

x = 4(3/2) = 12/2 = 6 . . . . . . saves the "cross product" step

<u>Example 2</u>:

x/4 = 1/2 . . . . we note that "1" is "sideways" from x, so we can rewrite the proportion as ...

x/1 = 4/2 . . . . . . written with 1 in the denominator

x = 2 . . . . simplify

Of course, this is the same answer you would get by multiplying by the denominator, 4.

The point here is that if you have a choice when you write the initial proportion, you can make the choice to write it with x in the numerator and 1 in the denominator.

8 0

3 years ago