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Anarel [89]
3 years ago
11

It takes $8$ cups of chocolate chips to make $12$ cookies. How many cups of chocolate chips will it take to make $15$ cookies? P

lease help quick! :) :(
Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Hello!!!

Answer:

11 cups of chocolate chips

Step-by-step explanation:

If we use the information we got from the problem we can see that 8 gives us 12. So all we need to do is add more to the orignal number(8) unitll we get 15. So 11 cups gives us 15 cookies.

Have a nice day!!!

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expression to approximate log a of x for all positive numbers a, b, and x, where a is not equal to 1 and b is not equal to one
amid [387]

Question:

Approximate log base b of x, log_b(x).

Of course x can't be negative, and b > 1.


Answer:

f(x) = (-1/x + 1) / (-1/b + 1)


Step-by-step explanation:

log(1) is zero for any base.

log is strictly increasing.

log_b(b) = 1

As x descends to zero, log(x) diverges to -infinity


Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.


Find a such that f(b) = 1

1 = f(b) = (-1/b + 1)/a

a = (-1/b + 1)


Substitute for a:

f(x) = (-1/x + 1) / (-1/b + 1)

f(1) = 0

f(b) = (-1/b + 1) / (-1/b + 1) = 1




7 0
3 years ago
Industry standards suggest that 10 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumte
borishaifa [10]

Answer:

a)  0.3874

b)  0.3874

c)  0.1722

d) Mean and Standard Deviation = 0.9

Step-by-step explanation:

This is binomial distribution problem that has formula:

P(x=r)=nCr*p^{r}*q^{n-r}

Here p is probability of success = 10% = 0.1

q is probability of failure, that is 90% = 0.9

n is total number, which is 9, so n = 9

a)

The probability that none requires warranty is r = 0, we substitute and find:

P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=0)=9C0*(0.1)^{0}*(0.9)^{9-0}\\P(x=0)=0.3874

Probability that none of these vehicles requires warranty service is 0.3874

b)

The probabilty exactly 1 needs warranty would change the value of r to 1. Now we use the same formula and get our answer:

P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=1)=9C1*(0.1)^{1}*(0.9)^{9-1}\\P(x=1)=0.3874

This probability is also the same.

Probability that exactly one of these vehicles requires warranty is 0.3874

c)

Here, we need to make r = 2 and put it into the formula and solve:

P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=2)=9C2*(0.1)^{2}*(0.9)^{9-2}\\P(x=2)=0.1722

Probability that exactly two of these vehicles requires warranty is 0.1722

d)

The formula for mean is

Mean = n * p

The formula for standard deviation is:

Standard Deviation = \sqrt{n*p*(1-p)}

Hence,

Mean = 9 * 0.1 = 0.9

Standard Deviation = \sqrt{9*0.1*(1-0.1)}=0.9

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2 years ago
Noam walks home from school by walking 8 blocks north and then 6 blocks east. how much shorter would his walk be if there were a
nalin [4]
The distance he travels is 6+8=14 blocks. the straight line distance is the hypotenuse of a right triangle with legs 8 and 6.
6²+8³=c²
36+64=c²
100=c²
c= √100 = 10 blocks.
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21, 19, 25, 23

Step-by-step explanation:

I hope this helps!

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2/3 is the next term


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