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3 years ago

13

A quiz consists of 6 questions. The instructor would like to create different versions of the quiz where the order of the proble

ms are scrambled for each student. In how many ways can this be done?

1 answer:

Alisiya [41]3 years ago

4 0

I believe you would do 6! which is 6*5*4*3*2*1 to find the number of solutions.

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12 decreased by 8 times a number is 36

LekaFEV [45]

8x-12=36

Let's solve your equation step-by-step.

<span><span><span>8x</span>−12</span>=36

</span>Step 1: Add 12 to both sides.

<span><span><span><span>8x</span>−12</span>+12</span>=<span>36+12

</span></span><span><span>8x</span>=48

</span>Step 2: Divide both sides by 8.

<span><span><span>8x/</span>8</span>=<span>48/8

</span></span><span>x=6

</span>Answer: x=6

5 0

3 years ago

Irina-Kira [14]

Answer:

t

Step-by-step explanation:

323rd century fox news has been in the past year and it is a different

6 0

3 years ago

if y varies directly as x and y is 48 when x is 48 when x is 6 which expression can be used to find the values of y when x is 2

Oksanka [162]

Answer:

the expression is

y=8x

Step-by-step explanation:

y varies directly as x is written as

$y \alpha x$

introducing constant

y=kx

from the question, when y=48, x=6

substitute it in the formula

48=6k

<em>maki</em><em>ng</em><em> </em><em>k</em><em> </em><em>the</em><em> subject</em><em> </em><em>by</em><em> </em><em>divi</em><em>ding</em><em> </em><em>throu</em><em>gh</em><em> </em><em>by</em><em> </em><em>6</em>

<em> $\frac{48}{6} = \frac{6k}{6}$ </em>

<em>k</em><em>=</em><em>8</em>

<em>put</em><em>ting</em><em> </em><em>the </em><em>va</em><em>lue</em><em> </em><em>of</em><em> </em><em>k</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>exp</em><em>ression</em><em>,</em>

<em>y</em><em>=</em><em>8</em><em>x</em>

<em>the</em><em> </em><em>valu</em><em>e</em><em> </em><em>of</em><em> </em><em>y</em><em> </em><em>whe</em><em>n</em><em> </em><em>x</em><em>=</em><em>2</em>

<em>y</em><em>=</em><em>8</em><em>×</em><em>2</em>

<em>y</em><em>=</em><em>1</em><em>6</em>

<em>thu</em><em>s</em><em> </em><em>the </em><em>valu</em><em>e</em><em> </em><em>of</em><em> </em><em>y</em><em> </em><em>whe</em><em>n</em><em> </em><em>x</em><em>=</em><em>2</em><em> </em><em>is</em><em> </em><em>1</em><em>6</em><em>.</em>

6 0

3 years ago

Read 2 more answers

A forest ranger stands at the top of a 120 foot fire tower. He spots a fire 900 feet away from the base of the tower. What is th

allochka39001 [22]

Answer: $7.6\°$

Step-by-step explanation:

You need to draw a right triangle as the one attached, where $\alpha$ is the angle of elevation from the fire to the top of the fire tower.

You need to use the Inverse trigonometric function Arctangent:

$\alpha= arctan(\frac{opposite}{adjacent})$

Observe the triangle. You can identify that:

$opposite=120\\adjacent=900$

Then, you can substitute values:

$\alpha= arctan(\frac{120}{900})$

Finally, evaluating, you get that the angle of elevation from the fire to the top of the fire tower is the following:

$\alpha =7.59\°$

Rounded to the the nearest tenth of a degree:

$\alpha\approx7.6\°$

4 0

3 years ago

Fixed Object Involved in Collision Number of Collisions Pole/post 1,416 Culvert/curb/ditch 2,516 Shrubbery/tree 2,585 Guardrail

Genrish500 [490]

Answer:

0.1358 = 13.58% probability of a fatal collision with a pole or post

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

1416 collisions with pole or post.

1416 + 2516 + 2585 + 896 + 947 + 231 + 1835 = 10426 total collisions.

a. What is the probability of a fatal collision with a pole or post?

$p = \frac{1416}{10426} = 0.1358$

0.1358 = 13.58% probability of a fatal collision with a pole or post

3 0

3 years ago