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White raven [17]
3 years ago
11

Makayla was given a box of assorted chocolates for her birthday. Each night, Makayla treated herself to some chocolates. There w

ere originally 12 chocolates in the box and after 2 nights, there were 8 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Makayla's birthday.
Mathematics
2 answers:
vesna_86 [32]3 years ago
8 0

Answer:

(2+2)-12

Step-by-step explanation:

Levart [38]3 years ago
6 0

9514 1404 393

Answer:

  C = 12 -2t

Step-by-step explanation:

In two days, four chocolates were eaten, so at the rate of 2 per day. The initial number was 12, so the number remaining is ...

  c = 12 -2t

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suppose that a company claims that its coffee cans contain 8.2 ounces of coffee, on average. you take many large samples, and fi
vovangra [49]

Answer:

Accept the claim that mean = 8.2oz.

Step-by-step explanation:

Given that a company claims that its coffee cans contain 8.2 ounces of coffee, on average.

To check this, normally large samples are drawn and sample mean is calculated

Then hypotheses created as

H0: Mean = 8.2

Ha: Mean not equals 8.2

The std deviation of sample is found out and then 95% confidence interval is calculated.

If the sample mean falls within 95% confidence interval, then we are 95% confident that for large samples, the sample mean would fall within this interval. Also the claim can be accepted.

Hence conclusion is accept null hypothesis that mean = 8.2 oz.

4 0
3 years ago
Read 2 more answers
50 random teenagers were asked how many hours a day they use their phone. They spent an average of 7 hours a day with a standard
tatyana61 [14]

Answer:

The margin of error for the true mean number of hours a teenager spends on their phone is of 0.4 hours a day.

Step-by-step explanation:

We have the standard deviation of the saple, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2\frac{1.3}{\sqrt{50}} = 0.4

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for the true mean number of hours a teenager spends on their phone is of 0.4 hours a day.

4 0
3 years ago
If r varies directly as p and inversely as q2, and r = 27 when p =3 and q = 2, find r when p = 2 and q= 3
WITCHER [35]

Answer:

k = 36 and r = 8

Step-by-step explanation:

Given that r varies directly as p and inversely as q² then the equation relating them is

r = \frac{kp}{q^2} ← k is the constant of variation

To find k use the condition r = 27 when p  3 and q = 2, thus

27 = \frac{3k}{4} ( multiply both sides by 4 )

108 = 3k ( divide both sides by 3 )

k = 36

r = \frac{36p}{q^2} ← equation of variation

When p = 2 and q = 3, then

r = \frac{36(2)}{3^2} = \frac{72}{9} = 8

8 0
3 years ago
If f(x)=k (square root)2+x, and f^-^1 (-15)=7, what is the value of k
horrorfan [7]

There's a bit of ambiguity in your question...

We know that f^{-1}(-15)=7, which means f(7)=-15.

I see three possible interpretations:

• If f(x)=k\sqrt2+x, then

f(7)=-15=k\sqrt2+7\implies k\sqrt2=-22\implies k=-\dfrac{22}{\sqrt2}=11\sqrt2

• If f(x)=k\sqrt{2+x}, then

f(7)=-15=k\sqrt{2+7}\implies -15=3k\implies k=-5

• If f(x)=\sqrt[k]{2+x}, then

f(7)=-15=\sqrt[k]{2+7}\implies-15=9^{1/k}\implies\dfrac1k=\log_9(-15)

which has no real-valued solution.

I suspect the second interpretation is what you meant to write.

4 0
3 years ago
If A⊂B, then A∩B=Ø. true false
yuradex [85]

Answer:

JAIJCSDI jISFISvIJJISWFVD JSI SFJSID

5 0
3 years ago
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