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4 years ago

Find the period of the function. y=-3 cos 1/4x a. pi/4 b.-3 c.3pi/4 d.8pi

Mathematics

1 answer:

timofeeve [1]4 years ago

5 0

The answer is 1/4 = 2pi * 1/T, so T = 4*2pi = 8pi
so it is <span>d.8pi</span>

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OK so if erosion blankets cost $0.49 per square feet how much would that be if I need about 55,756,800 square feet of it, how mu

Semmy [17]

Answer:

27,320,832

Step-by-step explanation:

It is $0.49 per square feet

You need 55,756,800 square feet

Multiply 55,756,800 x 0.49 = 27,320,832

7 0

3 years ago

The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

$\dfrac{15.87}{100}\times 60 = 9.52\approx 10$

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0

4 years ago

Anthony Rizzo attended art class every 3 weeks, chess club every 4 weeks, and fencing every 9 weeks. When will he attend all thr

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The GCF of 3,4,9 is 36.

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4 years ago

Please help. I am really stuck on this little problem. I need to find the domain and Range for this graph.

Anika [276]

Answer:

This isn't the answer but if you can take a pic of this and put it in this app called "Math-way" or "Photo-math" those help me

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3 years ago

Mika needs to equally separate 12.25 ounces of puppy food in order to feed 8 puppies the same amount. How many ounces of food wi

Reil [10]

Equation: 8p = 12.25

Ounces of food per puppy: Approximately 1.5

Mika has 12.25 ounces of puppy food to feed 8 puppies.

All 8 puppies need the same amount.

So, how many ounces of food will each puppy get?

That's where I come in.

I guess.

To find out how many ounces of food each puppy gets, you must make an equation.

Luckily for you, I've already made an equation of this in my head before I even finished typing this sentence.

You can use my equation if you want.

Equation: 8p = 12.25

Divide both sides by 8 to get approximately (hence I rounded to the nearest tenth) 1.5 ounces of food per puppy.

Now you've got some nice work to show your teacher and you've got the correct answer. Well done.

8 0

3 years ago

Read 2 more answers