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iren [92.7K]
2 years ago
12

An IMAX movie ticket cost $16. You have $50. Write an inequality to represent the number of IMAX movie tickets, t, you can buy.

Mathematics
2 answers:
Gekata [30.6K]2 years ago
6 0

Answer:

t > 3

Explantion

Hunter-Best [27]2 years ago
5 0

Answer:

t <u>> 3</u>

Step-by-step explanation:

because 16 x 3 = 48 so you can buy 0 - 3 tickets

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I need the anser for 5x+6x
s344n2d4d5 [400]

Answer:

11x will be the answer

Step-by-step explanation:

5 0
2 years ago
New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night (USA Today
Ierofanga [76]

Answer:

a) We can find the z score for the value of 225 and we got:

z = \frac{225-204}{55}=0.382

And we can find this probability with the complement rule:

P(z>0.382)=1-P(z

b) z = \frac{140-204}{55}=-1.164

And we can find this probability using the normal standard table or excel and we got:

P(z

c) P(200

And we can find this probability with this difference:

P(-0.072

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.072

d) For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.2   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.8 of the area on the left and 0.2 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.2

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.842

And if we solve for a we got

a=204 +0.842*55=250.31

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the costs of a population, and for this case we know the distribution for X is given by:

X \sim N(204,55)  

Where \mu=204 and \sigma=55

We are interested on this probability

P(X>225)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We can find the z score for the value of 225 and we got:

z = \frac{225-204}{55}=0.382

And we can find this probability with the complement rule:

P(z>0.382)=1-P(z

Part b

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

z = \frac{140-204}{55}=-1.164

And we can find this probability using the normal standard table or excel and we got:

P(z

Part c

P(200

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(200

And we can find this probability with this difference:

P(-0.072

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.072

Part d

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.2   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.8 of the area on the left and 0.2 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.2

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.842

And if we solve for a we got

a=204 +0.842*55=250.31

5 0
3 years ago
Help me please thank you
Maru [420]

Answer: The car's maximum speed


have a nice day!!


5 0
3 years ago
What is the equation, in slope-intercept form, for the line that passes through the point (2, −3) and is perpendicular to the li
diamong [38]

Answer:

The equation is;

y = (-x-23)/25

Step-by-step explanation:

The equation of a straight line can be given as y = mx + b

where m is the slope and b is the y-intercept

for y = 25x + 4

m is 25

Now, we need the slope of a line perpendicular to this,

If two lines are perpendicular, the result of the product of their slopes is -1

m1 * m2 = -1

25 * m2 = -1

m2 = -1/25

Mathematically, we have the slope in the point slope form as ;

y+3 = -1/25 (x - 2)

y = -x/25 + 2/25

y = -x/25 + 2/25 - 3

y = -x/25 -73/25

6 0
2 years ago
9 + 4 to the third power x (20-8) / 2 + 6
harkovskaia [24]

1110.5 is the answer and your welcome

5 0
2 years ago
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