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2 years ago

HELP PLEASE!

Mathematics

1 answer:

V125BC [204]2 years ago

5 0

There are several ways to find the zeros of a quadratic function. One of my favorite is to use a graphing calculator to graph it. The zeros can be read directly from the graph.

The zeros are -5 and 6.

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I select two cards from a standard deck of 52 cards and observe the color of each (26 cards in the deck are red and 26 are black

lilavasa [31]

Answer:

B) S= {(red, red), (red, black), (black, red), (black, black)}

See explanation below.

Step-by-step explanation:

Previous concepts

The sample space of an experiment by definition "is the set of all possible outcomes or results of that experiment".

Solution to the problem

We know that we have 52 cards. 26 of them red and the other 26 black. And we are going to select two cards at random. We are interested on the correct sampling space. We analyze one by one the options given.

A) S= {red, black}

False. We can obtain two red cards for example or two black cards and these pairs are not included in the sample space provided.

B) S= {(red, red), (red, black), (black, red), (black, black)}, where, for example, (red, red) stands for the event "the first card is red and the second card is red."

True. The cardinality for the sample space is 2^2 = 4 possible outcomes. And as we can see here we have all the possible options included (red, red), (red, black), (black, red), (black, black). So then that's the correct option for the sampling space.

C) S= {(red, red), (red, black), (black, black)}, where, for example, (red, red) stands for the event "the first card is red and the second card is red."

False, the cardinality of the sample space is 2^2 = 4 and on this case the sample space provided have just 3 elements or possible outcomes. We don't have include the possibl option (black, red).

D) S= {0, 1, 2}.

False the sample space are related to red and black cards and we can't have numbers as the possible outcomes for the experiment.

E) All of the above.

False, option B is correct.

4 0

3 years ago

you forget the last two digits of your password for a website. A what is the probability that you randomly choose the correct di

dexar [7]

A) number of outcomes * number of outcomes =9*9=81
possible outcomes 123456789 for 1 digit
b)number of outcomes(even) * number of outcomes(even) =4*4=16
possible outcomes even 2468

5 0

3 years ago

Jason bought a car for $12500. According to the insurance company, the value of the car depreciates by 7% each year. What will t

Orlov [11]

Answer:

8696.10

Step-by-step explanation:

If a car depreciates by 7% each year, this means that 7% of its value that year is subtracted from its previous value. In other words, you can multiply its value by (1-0.07)=0.93.

$12500\cdot 0.93^5\approx 8696.10$ . Hope this helps!

3 0

3 years ago

normally distributed with mean 24.6 seconds and standard deviation 0.64 seconds;the lower finishing time, the better. If the qua

marshall27 [118]

Answer:

$z=1.04$

And if we solve for a we got

$a=24.6 +1.04*0.64=25.27$

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.

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 finishing time of a population, and for this case we know the distribution for X is given by:

$X \sim N(24.6,0.64)$

Where $\mu=24.6$ and $\sigma=0.64$

Solution to the problem

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

$P(X>a)=0.15$ (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 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

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:

$z=1.04$

And if we solve for a we got

$a=24.6 +1.04*0.64=25.27$

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.

3 0

2 years ago

Explain how to write and solve an equation to find an unknown side length of a rectangle when given the perimeter

ratelena [41]

P=2(L+W)
if given one side and the perimiter
(P/2)-L=W
(P/2)-W=L

4 0

2 years ago