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zmey [24]
3 years ago
5

What is the vertex of the function in #5

Mathematics
1 answer:
ziro4ka [17]3 years ago
5 0
Where is the function
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The city's central library has 72,864 books. The library has 72 bookcases. If each bookcase has room for the same number of book
sesenic [268]
1012 books per book case
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4 years ago
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4x + 12 = -7y<br> -y + 12 = 4x<br> Solve with elimination
statuscvo [17]
Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left.  This makes all negatives positive and all positives negative.   -4x   + 12  = y 

Then add the first equation to the second equation 
4x   +12   = -7y
<u>-4x   + 12  </u>=<u> y </u>   this eliminates the x's
          <u>24</u> = -<u> 6y</u>            then divide by - 6
           - 6     - 6
         - 4    = y<u>

</u>So if you know that y = negative 4, you can substitute into either equation.  I pick the second one because I am a lazy person.  
  -y  + 12  = 4 x
-(-4) + 12 = 4 x     combine your numbers<u>
</u>   <u>  16     </u> = <u>4 x  </u>      then divide by 4<u>
</u>       4      =  x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)

Does that work for you?
4 0
3 years ago
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A random number generator app on your phone generates two numbers between 0 and 8. What is the probability that the first number
aev [14]

Answer:

1/27

Step-by-step explanation:

There are 9 numbers between 0 and 8.  3 of them are less than 3 (0, 1, and 2), and 1 of them is 6.

The probability is therefore (3/9) (1/9) = 1/27.

8 0
3 years ago
Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women w
VikaD [51]

Since the p - value is less than significance level . So, we will accept the null hypothesis.

​(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.

Definition of null hypothesis : The null hypothesis attempts to show that no variation exists between variables or that a single variable is no different than its mean. it is denoted

Alternative Hypothesis : In statistical hypothesis testing, the alternative hypothesis is a position that states something is happening, a new theory is true instead of an old one (null hypothesis).

We are given that The mean height of women 20 years of age or older was 63.7 inches.

So, null hypothesis :  H₀ : μ = 63.7

Alternative Hypothesis :  H₁ : μ > 63.7

b)The​ P-value for this test is 0.06.

The p-value represents the probability of getting a sample mean height of 20 years old women is  64.1 inches.

c) Write a conclusion for this hypothesis test assuming an alpha equals 0.10 level of significance.

p- value = 0.06

Since the p - value is less .

So, we will accept the null hypothesis

So,  

Hence The mean height is 63.7 inches

To learn more about hypothesis testing from the given link

brainly.com/question/12976831

#SPJ4

7 0
1 year ago
Is the decimal for 4 over 3 a repeating decimal ? expain
Alenkasestr [34]

Yes, the decimal form of \frac{4}{3}is indeed a repeating decimal. The expression is equivalent to 1 \frac{1}{3}, which is also 1.3333333 or "1.3 bar", signifying that the 3 will repeat infinitely.

5 0
4 years ago
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