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Rus_ich [418]
3 years ago
5

3. A multiple choice test contains 15 questions. Each question has four options, only one of

Mathematics
1 answer:
Mice21 [21]3 years ago
3 0

Answer:

\frac{5005\times 3^6}{4^{15}}

Step-by-step explanation:

by using binomial property, we get the probability

P=C^{15}_{9}\times \frac{1}{4^9}\times \frac{3^6}{4^6}

You might be interested in
A 40-degree angle is translated 5 inches along a vector. What is the angle measurement, in degrees, of the Image?
vagabundo [1.1K]

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

8 0
3 years ago
James is running on a trail that is 5/4 of a mile long. So far he has run 2/3 of the trail. How many miles has he run so far?
aalyn [17]
Step 1) You would need to convert your 2 fractions into equivalent numbers. In this case, the closet gcf (greatest common factor) is 12. So, 5/4 would convert to 15/12 and  2/3 converts to 8/12.

Step 2) You know have your decimals that are equivalent. All you have left now is to subtract. Take 15/12 and subtract 8/12 from it. You would now get 7/12 of a mile that is still needed to run. 

Step 3) Usually, you would simplify your new fraction. In this case, our fraction doesn't simplify. It will stay 7/12 of a mile. For example, If our number had ended up being 4/12, then we would simplify it to 1/3 of a mile. Because, 4 divided by 4 is 1 and 12 divided by 4 is 3. You can't simplify your answer anymore.

Hope this helped!
3 0
3 years ago
Read 2 more answers
True or False: Segment AB is congruent to segment BC. A B C -2 0 1 3 Select one: True False​
Verizon [17]
I believe it’s true not sure tho
5 0
3 years ago
A small moving box has a volume of 2304 inches cubed and length of 16 inches. The box's width and height are the same. Write the
lisabon 2012 [21]

Answer:

<em>V = 16x² </em>

<em>Width = 12in</em>

<em>Height = 12in</em>

Step-by-step explanation:

Volume of the box is expressed as;

V = Length *Width * height

Given

Length = 16in

Width = x

Height = x

The volume of the box will be expressed as;

V = 16 * x * x

<em>V = 16x² (This gives the required equation)</em>

To get x:

We are given

V = 2304in³

Substitute;

2304 = 16x²

x² = 2304/16

x² = 144

x= √144

x = 12

<em>Hence the width and the height are both 12inches since they are the same.</em>

<em></em>

For the sma

8 0
3 years ago
What is the volume of the right rectangular prism?
ddd [48]

Answer:

i think its 735

Step-by-step explanation:

since the base is a square it should be a whole square which is 7 and the height is 15 and v=whl and multiply all of it 7 times 7 is 49 times 15 is 735.

5 0
3 years ago
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