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charle [14.2K]
3 years ago
8

in a college library there are 4 times as many nonfiction books as fiction books.find the ration of non fiction books to the no

.of fiction books
Mathematics
2 answers:
Stolb23 [73]3 years ago
5 0
Ok. how many fiction books are there?
umka21 [38]3 years ago
5 0
The ratio would have to be 4:1 4 being the nonfiction and the 1 being the fiction
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The graph of a quadratic function meets the x axis where the x=3 and x=k. if the turning point of the function occurs where x=0.
liraira [26]

Step-by-step explanation:

The turning point of a quadratic function is equidistant from both x-intercepts (if they exist)

Since they do exist in this question, 3 + k = 2(0.5), 3 + k = 1, k = -2.

6 0
3 years ago
What is the respond for 4(b-6)+19
vlabodo [156]
So I think you’re asking for the solution to the equation mentioned.

The answer would be 4b-5

Explanation:
Steps:

4(b-6)+19

4b-24+19

4b-5 (Answer)


4 0
3 years ago
Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.
Leokris [45]
Standard form is, hold a sec

x=2 is directix
that means it opens left or right
so we must use
(y-k)²=4p(x-h)
where vertex is (h,k) and p is distance from focus to vertex
also shortest distance from vertex to directix
the shortest distance from focus to directix is 2p
if p>0 then the parabola opens right
if p<0 then pareabola opens left

so
(-2,0) and x=2
the distance is 4
4/2=2
p=2
wait, positive or negative
focus is to the left of the directix so p is negative
p=-2

vertex is 2 to the right of the focus and 2 to the left of directix
vertex is (0,0)

so
(y-0)²=4(-2)(x-0) or
y²=-8x is da equation
not sure what form is standard tho
4 0
3 years ago
Find the appropriate rejection regions for the large-sample test statistic z in these cases. (Round your answers to two decimal
Usimov [2.4K]

Answer:

a) We have that the significance is given by \alpha =0.01 and we know that we have a right tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 1% of the area on the right and 99% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.01,0,1)"

And we got for this case z_{crit}=2.33

So then the rejection region would be z>2.33

b) We have that the significance is given by \alpha =0.05, \alpha/2 =0.025 and we know that we have a two tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 2.5% of the area on the right and 97.5% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.025,0,1)"

And we got for this case z_{crit}=\pm 1.96

So then the rejection region would be z>1.96 \cup z

Step-by-step explanation:

Part a

We have that the significance is given by \alpha =0.01 and we know that we have a right tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 1% of the area on the right and 99% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.01,0,1)"

And we got for this case z_{crit}=2.33

So then the rejection region would be z>2.33

Part b

We have that the significance is given by \alpha =0.05, \alpha/2 =0.025 and we know that we have a two tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 2.5% of the area on the right and 97.5% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.025,0,1)"

And we got for this case z_{crit}=\pm 1.96

So then the rejection region would be z>1.96 \cup z

7 0
3 years ago
Y= kx+m <br><br> Make x the subject
Ilia_Sergeevich [38]
Kx=y-m
x=(y-m)/k
Note that this is also standard linear form, x=y/k-m/k where slope=1/k and x intercept is -m/k.
7 0
3 years ago
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