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3 years ago

Is the relation a function?

Mathematics

1 answer:

Maurinko [17]3 years ago

6 0

No

The Arrows NEED TO BE STRAIGHT ACROSS FOR IT TO BE A FUNCTION

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Solve for X. Assume that lines which appear tangent are tangent

Reptile [31]

Answer:

Step-by-step explanation:

5 0

3 years ago

A sushi restaurant makes 12 types of sushi rolls each day. They also offer 7 sashimi plates. A popular combination platter at th

VikaD [51]

Answer:

1386 possible combinations

Step-by-step explanation:

A sushi restaurant makes 12 types of sushi rolls each day. They also offer 7 sashimi plates. A popular combination platter at the restaurant allows the customer to choose 2 different types of rolls and 2 different types of sashimi plates. What is the number of possible combination that can be made.

12 types sushi roll - can choose 2

7 types of sashimi - can choose 2

2 different types of rolls and 2 different types of sashimi

C₁₂,₂ * C₇,₂ = 66*21 = 1386

6 0

4 years ago

The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with me

iragen [17]

Answer:

a) 229 and 305 days

b) 229 days or less

c) 305 days or more

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 267

Standard deviation = 19

(a) Between what values do the lengths of the middle 95% of all pregnancies fall?_____________and___________days

By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.

267 - 2*19 = 229 days

267 + 2*19 = 305 days

(b) How short are the shortest 2.5% of all pregnancies?______days or less

95% of all pregnancies fall within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. Since the distribution is symmetric, 2.5% is more than 2 standard deviations below the mean(shortest 2.5%) and 2.5% is more than 2 standard deviations above the mean(longest 2.5%). So

267 - 2*19 = 229 days

c) How long do the longest 2.5% of pregnancies last?________days or more

Explanation in b)

267 + 2*19 = 305 days

7 0

3 years ago

Cos(100)-cos(99)=? Can you do it step by step

Svetllana [295]

Let's see what to do buddy...

________________________________

If 99 & 100 are in Degree

_________________________________

STEP (1)

The angles 99 and 100 are in the second quarter of the trigonometric circle.

The cosine is negative in the second quarter.

To make things easier, we can use angle conversion.

Look :

$we \: know \: that \: 100 = 90 + 10$

$also \: we \: know \: 99 = 90 + 9$

So :

$\cos(100) = \cos(90 + 10) = \cos( \frac{\pi}{2} + 10 ) \\$

$\cos(99) = \cos(90 + 9) = \cos( \frac{\pi}{2} + 9 ) \\$

_________________________________

STEP (2)

Well now we have to do the arc deletion.

To remove the arc, we remove π/2 from the arc.

Remember that every time we remove π/2 from the arc, the trigonometric ratio changes.

That is, if it is a sine, it becomes a cosine, and if it is a cosine, it becomes a sine.

Or if it is a tangent, it becomes a cotangent, and if it is a cotangent, it becomes a tangent.

$in \: second \: quarter \: cosine \: is \: negative \\ \\ \cos( \frac{\pi}{2} + 10 ) = - \sin(10) = - 0.173$

$\cos( \frac{\pi}{2} + 9 ) = - \sin(9) = - 0.156 \\$

_________________________________

STEP (3)

$\cos(100) - \cos(99) = \\ - \sin(10) - ( - \sin(9) \: ) = \\ - 0.173 - ( - 0.156) = \\ - 0.173 + 0.156 = - 0.017$

And we're done here.

_________________________________

If 99 & 100 are in Radian

_________________________________

STEP (1)

First we need to know how many degrees 1 radian is.

The following equation is used to convert degrees to radians or radians to degrees.

$\frac{degree}{180} = \frac{radian}{\pi} \\$

So we have :

$\frac{d}{180} = \frac{1}{\pi} \\$

Multiply the sides of the equation by 180 :

$d = \frac{180}{\pi} = \frac{180}{3.14} = 57.32 \\$

So 1 radian is approximately equal to 57 degrees.

And we have :

$100 \: rad \: = 100 \times 57 = 5700 \: deg \\ \\ 99 \: rad \: = 99 \times 57 = 5601 \: deg$

_________________________________

STEP (2)

Let's move on to deletion.

Look : 5700° = 15 × 360° + 300°

and : 5601° = 15 × 360° + 201°

We know π rad = 3.14 × 57 = 180° deg

So 2π rad = 2 × 180 = 360 ° deg

Then :5700 = 15 × 2 π + 300° = 30 π + 300°

and :5601 = 15 × 2 π + 201° = 30 π + 201°

Remember that deleting 2π is unconditional.

$\cos(30\pi + 300) = \cos(300) = \cos(360 - 60) = \cos(2\pi - 60) = \cos( - 60) = \\ cosine \: eat \: negative \\ \cos( - 60) = \cos(60) = \frac{1}{2}$