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julsineya [31]
3 years ago
6

Christopher spends a total of $235.94. He

Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

He bought 6 sweaters

Step-by-step explanation:

235.94-80.00=155.94

155.94/25.99=6

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A survey among students at a certain university revealed that the number of hours spent studying the week before final exams was
Rainbow [258]

Answer:

P(25

And we can find this probability with this difference:

P(0

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

P(0

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".  

Solution to the problem'

Let X the random variable that represent the hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:

X \sim N(25,6)  

Where \mu=25 and \sigma=6

We are interested on this probability

P(25

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(25

And we can find this probability with this difference:

P(0

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

P(0

6 0
3 years ago
The function f(x) = (x − 4)(x − 2) is shown.What is the range of the function?
yuradex [85]

Answer:

The range is y ≥ -1

Step-by-step explanation:

∵ f(x) = (x - 4)(x - 2)

∴ f(x) = x² - 2x - 4x + 8

∴ f(x) = x² - 6x + 8 ⇒ quadratic function (ax² + bx + c) represented by

   parabola graphically

∵ a = 1 , b = -6 , c = 8

∴ x-coordinate of its vertex = -b/2a = -(-6)/2×1 = 3

∴ f(3) = (3)² - 6(3) + 8 = -1

∵ a is positive ⇒ the curve has minimum point and it's open upward

∴ the minimum point is (3 , -1)

∴ The range is y ≥ -1 ⇒ because the minimum value is -1

3 0
3 years ago
1.morgan is 15 years old younger than Mrs.santtos their combined age is 442. jenny won the ping-pong championship eight more tim
swat32
If Morgan is 15 years younger then Mrs.Santos and there combined age is 442 that means that Mrs.Santos is 221, and Morgan is 206.
8 0
3 years ago
The cost of making a shirt is half of what the shirt normally sells for. Today, however, the shirt is 15% discount feom it’s nor
alexandr1967 [171]
Let the cost of the shirt be y and the price by the which the shirt is sold is 2y. This means that at 15% discount, the shirt is sold at 1.7 of its original cost.
7 0
3 years ago
Is 5- bigger than 9-? can you please tell be why
Dima020 [189]

-5 is bigger than -9 because they are negative numbers so they go opposite ways  on the number line so the concept of normal number backwards. hope this helps

3 0
2 years ago
Read 2 more answers
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